2024-10-07

  1. 208. 實現(xiàn) Trie (前綴樹) - 力扣(LeetCode)
    法一:節(jié)點數(shù)組實現(xiàn)
class Trie {
public:
    Trie() {
        root = new Node();
    }
    
    void insert(string word) {
        find(word, true, false);
    }
    
    bool search(string word) {
        return find(word, false, false);
    }
    
    bool startsWith(string prefix) {
        return find(prefix, false, true);
    }

private:
    struct Node {
        int cnt;
        vector<Node*> children;
        Node() {
            cnt = 0;
            children = vector<Node*>(26, nullptr);
        }
    };
    Node* root;

    bool find(const string& s, bool isInsert, bool isPrefix) {
        Node* cur = root;
        for (char ch : s) {
            if (cur->children[ch - 'a'] == nullptr)
                if (isInsert)
                    cur->children[ch - 'a'] = new Node();
                else
                    return false;
            cur = cur->children[ch - 'a'];
        }
        if (isInsert) cur->cnt++;
        if (isPrefix) return true;
        return cur->cnt > 0;
    }
};

/**
 * Your Trie object will be instantiated and called as such:
 * Trie* obj = new Trie();
 * obj->insert(word);
 * bool param_2 = obj->search(word);
 * bool param_3 = obj->startsWith(prefix);
 */

法二:節(jié)點map實現(xiàn)

class Trie {
public:
    Trie() {
        root = new Node();
    }
    
    void insert(string word) {
        find(word, true, false);
    }
    
    bool search(string word) {
        return find(word, false, false);
    }
    
    bool startsWith(string prefix) {
        return find(prefix, false, true);
    }

private:
    struct Node {
        int cnt;
        unordered_map<char, Node*> children;
        Node() : cnt(0) {}
    };
    Node* root;

    bool find(const string& s, bool isInsert, bool isPrefix) {
        Node* cur = root;
        for (char ch : s) {
            if (cur->children.find(ch) == cur->children.end())
                if (isInsert)
                    cur->children[ch] = new Node();
                else
                    return false;
            cur = cur->children[ch];
        }
        if (isInsert) cur->cnt++;
        if (isPrefix) return true;
        return cur->cnt > 0;
    }
};

/**
 * Your Trie object will be instantiated and called as such:
 * Trie* obj = new Trie();
 * obj->insert(word);
 * bool param_2 = obj->search(word);
 * bool param_3 = obj->startsWith(prefix);
 */
  1. 212. 單詞搜索 II - 力扣(LeetCode)
class Solution {
public:
    vector<string> findWords(vector<vector<char>>& board, vector<string>& words) {
        root = new Node();
        m = board.size();
        n = board[0].size();
        this->board = board;
        visited = vector<vector<bool>>(m, vector<bool>(n, false));
        for (const string& word : words) insert(word);
        for (int i = 0; i < m; i++)
            for (int j = 0; j < n; j++) {
                visited[i][j] = true;
                dfs(i, j, root);
                visited[i][j] = false;
            }
        return vector<string>(ans.begin(), ans.end());
    }

private:
    struct Node {
        int cnt;
        unordered_map<char, Node*> children;
        Node() : cnt(0) {}
    };
    void insert(const string& str) {
        Node* cur = root;
        for (char ch : str) {
            if (cur->children.find(ch) == cur->children.end())
                cur->children[ch] = new Node();
            cur = cur->children[ch];
        }
        cur->cnt++;
    }
    void dfs(int x, int y, Node* cur) {
        if (cur == nullptr) return;
        char ch = board[x][y];
        if (cur->children.find(ch) == cur->children.end()) return;
        Node* next = cur->children[ch];
        str.push_back(ch);
        if (next->cnt > 0) ans.insert(str);
        if (next->children.empty()) {
            cur->children.erase(ch);
            delete next;
        }
        else
            for (int i = 0; i < 4; i++) {
                int nx = x + dx[i];
                int ny = y + dy[i];
                if (nx < 0 || ny < 0 || nx >= m || ny >= n) continue;
                if (visited[nx][ny]) continue;
                visited[nx][ny] = true;
                dfs(nx, ny, next);
                visited[nx][ny] = false;
            }
        str.pop_back();
    }

    Node* root;
    int m, n;
    vector<vector<char>> board;
    vector<vector<bool>> visited;
    const int dx[4] = {-1, 0, 0, 1};
    const int dy[4] = {0, -1, 1, 0};
    string str;
    unordered_set<string> ans;
};
  1. 547. 省份數(shù)量 - 力扣(LeetCode)
    法一:DFS
class Solution {
public:
    int findCircleNum(vector<vector<int>>& isConnected) {
        n = isConnected.size();
        this->isConnected = isConnected;
        visited = vector<bool>(n);
        ans = 0;
        for (int i = 0; i < n; i++) 
            if (!visited[i]) {
                visited[i] = true;
                dfs(i);
                ans++;
            }
        return ans;
    }

private:
    vector<bool> visited;
    vector<vector<int>> isConnected;
    int ans, n;

    void dfs(int x) {
        for (int i = 0; i < n; i++)
            if (isConnected[x][i] && !visited[i]) {
                visited[i] = true;
                dfs(i);
            }
    }
};

法二:并查集

class Solution {
public:
    int findCircleNum(vector<vector<int>>& isConnected) {
        int n = isConnected.size();
        fa = vector<int>(n);
        // 初始化并查集
        for (int i = 0; i < n; i++)
            fa[i] = i;
        for (int i = 0; i < n; i++)
            for (int j = 0; j < n; j++)
                if (isConnected[i][j])
                    unionSet(i, j);
        int ans = 0;
        for (int i = 0; i < n; i++)
            if (find(i) == i)
                ans++;
        return ans;
    }

private:
    vector<int> fa;

    int find(int x) {
        if (x == fa[x]) return x;
        return fa[x] = find(fa[x]);
    }
    void unionSet(int x, int y) {
        x = find(x), y = find(y);
        if (x != y) fa[x] = y;
    }
};
  1. 130. 被圍繞的區(qū)域 - 力扣(LeetCode)
    法一:DFS
class Solution {
public:
    void solve(vector<vector<char>>& board) {
        m = board.size();
        n = board[0].size();
        for (int i = 0; i < m; i++) {
            dfs(board, i, 0);
            dfs(board, i, n - 1);
        }
        for (int j = 0; j < n; j++) {
            dfs(board, 0, j);
            dfs(board, m - 1, j);
        }
        for (int i = 0; i < m; i++) 
            for (int j = 0; j < n; j++) {
                if (board[i][j] == 'O')
                    board[i][j] = 'X';
                if (board[i][j] == 'A')
                    board[i][j] = 'O';
            }
    }

private:
    int m, n;
    const int dx[4] = {-1, 0, 0, 1};
    const int dy[4] = {0, -1, 1, 0};

    void dfs(vector<vector<char>>& board, int x, int y) {
        if (x < 0 || y < 0 || x >= m || y >= n) return;
        if (board[x][y] != 'O') return;
        board[x][y] = 'A';
        for (int i = 0; i < 4; i++) {
            int nx = x + dx[i];
            int ny = y + dy[i];
            dfs(board, nx, ny);
        }
    }
};

法二:并查集

class Solution {
public:
    void solve(vector<vector<char>>& board) {
        m = board.size();
        n = board[0].size();
        fa = vector<int>(m * n + 1);
        for (int i = 0; i <= m * n; i++) fa[i] = i;
        int outSide = m * n;
        for (int i = 0; i < m; i++)
            for (int j = 0; j < n; j++) {
                if (board[i][j] == 'X') continue;
                for (int k = 0; k < 4; k++) {
                    int ni = i + dx[k];
                    int nj = j + dy[k];
                    if (ni < 0 || nj < 0 || ni >= m || nj >= n)
                        unionSet(num(i, j), outSide);
                    else
                        if (board[ni][nj] == 'O')
                            unionSet(num(i, j), num(ni, nj));
                }
            }
        outSide = find(outSide);
        for (int i = 0; i < m; i++)
            for (int j = 0; j < n; j++)
                if (board[i][j] == 'O' && find(num(i, j)) != outSide)
                    board[i][j] = 'X';
    }

private:
    vector<int> fa;
    int m, n;
    const int dx[4] = {-1, 0, 0, 1};
    const int dy[4] = {0, -1, 1, 0};

    int find(int x) {
        if (x == fa[x]) return x;
        return fa[x] = find(fa[x]);
    }
    void unionSet(int x, int y) {
        x = find(x), y = find(y);
        if (x != y) fa[x] = y;
    }
    int num(int x, int y) {
        return x * n + y;
    }
};
  1. 145. 超市 - AcWing題庫
    利用并查集壓縮路徑思想
#include<bits/stdc++.h>
using namespace std;

int n;
// <profit, day>
pair<int, int> a[10000];
int fa[10001];

int find(int x) {
    if (x == fa[x]) return x;
    return fa[x] = find(fa[x]);
}

int main() {
    while (cin >> n) {
        for (int i = 0; i < n; i++) 
        cin >> a[i].first >> a[i].second;
        sort(a, a + n);
        for (int i = 0; i <= 1e4; i++) fa[i] = i;
        int ans = 0;
        for (int i = n - 1; i >= 0; i--) {
            int profit = a[i].first;
            int day = a[i].second;
            int lastAvailableDay = find(day);
            if (lastAvailableDay > 0) {
                ans += profit;
                fa[lastAvailableDay] = lastAvailableDay - 1;
            }
        }
        cout << ans << endl;
    }
    
    return 0;
}
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