dijkstra及并查集算法更新

dijkstra.cpp

@@ -2,31 +2,31 @@ class Solution {
 public:
 	int diskstra(vector<vector<int>>& edges, int n, int start, int end) {
 		vector<vector<int>> graph(n, vector<int>(n, INT_MAX / 2));
-        // === 建图 ===
-        for (auto& [from, to, dist]: edges) {
-            graph[from][to] = dist;
+		for (auto& edge : edges) {
+			int from = edge[0], to = edge[1], dist = edge[2];
+			graph[from][to] = dist;		// build the graph
 		}
 
-        vector<int> distance(n, INT_MAX/2), visited(n, 0);
+		vector<int> distance(n, INT_MAX / 2), visited(n, 0);
 		distance[start] = 0;
 		while (true) {
 			int next_node = -1;
 			for (int node = 0; node < n; node++) {
 				if (visited[node]) {
-                    continue;   // 不重复更新
+					continue;   // update non-repeatedly
 				}
 				if (next_node < 0 || distance[next_node] > distance[node]) {
-                    next_node = node;   // 寻找移动路径最小的节点
+					next_node = node;   // find the node with the smallest moving path
 				}
 			}
 
 			if (next_node < 0 || distance[next_node] == INT_MAX / 2) {
-                break;      // 找不到节点
+				break;      // cannot find the node
 			}
 
 			visited[next_node] = 1;
 			for (int node = 0; node < n; node++) {
-                // 根据最近节点路径更新其余节点移动路径
+				// update the moving paths of the remaining nodes based on the nearest node
 				distance[node] = min(distance[node], distance[next_node] + graph[next_node][node]);
 			}
 		}

union-find-sets.cpp

@@ -0,0 +1,36 @@
+class UnionFind {
+	vector<int> _pre;           // 代表元
+	vector<int> _rank;          // 集合的秩
+
+public:
+	UnionFind(int n) : _pre(n), _rank(n, 1) {
+		iota(_pre.begin(), _pre.end(), 0);
+		//ranges::iota(_pre, 0);
+	}
+
+	int find(int x) {
+		return _pre[x] == x ? x : _pre[x] = find(_pre[x]);
+	}
+
+	bool same(int x, int y) {
+		return find(x) == find(y);
+	}
+
+	bool merge(int from, int to) {
+		int x = find(from), y = find(to);
+		if (x == y) {
+			return false;
+		}
+		if (_rank[x] < _rank[y]) {
+			_pre[x] = y;
+		}
+		else if (_rank[x] > _rank[y]) {
+			_pre[y] = x;
+		}
+		else {
+			_pre[x] = y;
+			_rank[y]++;
+		}
+		return true;
+	}
+};

union-find_sets.cpp

@@ -1,36 +0,0 @@
-class UnionFind {
-    vector<int> _pre;           // 代表元
-    vector<int> _rank;          // 集合的秩
-
-public:
-    UnionFind(int n) : _pre(n), _rank(n, 1), cc(n) {
-        // iota(fa.begin(), fa.end(), 0);
-        ranges::iota(fa, 0);
-    }
-
-    int find(int x) {
-        return _pre[x] == x ? x : _pre[x] = fint(_pre[x]);
-    }
-
-    bool same(int x, int y) {
-        return find(x) == find(y);
-    }
-
-    bool merge(int from, int to) {
-        int x = find(from), y = find(to);
-        if (x == y) {
-            return false;           //同一集合不做合并
-        }
-        if (_rank[x] < _rank[y]) {
-            _pre[x] = y;
-        }
-        else if (_rank[x] > _rank[y]) {
-            _pre[y] = x;
-        }
-        else {
-            _pre[x] = y;
-            _rank[y]++;
-        }
-        return true;
-    }
-};