From c81d094e6b2794888ca04cf52e6d8bcfe50007f3 Mon Sep 17 00:00:00 2001
From: userr2232 <reynaldo.rz.26@gmail.com>
Date: Sun, 15 May 2022 01:27:55 -0500
Subject: [PATCH] Study/prim.cc

---
 Study/prim.cc | 31 ++++++++++++-------------------
 1 file changed, 12 insertions(+), 19 deletions(-)

diff --git a/Study/prim.cc b/Study/prim.cc
index f20e17f..d34652a 100644
--- a/Study/prim.cc
+++ b/Study/prim.cc
@@ -2,42 +2,35 @@
 #include <vector>
 #include <algorithm>
 #include <functional>
-#include <utility>
 #include <queue>
-#define FOR(i,a,b) for(int i = a; i <= b; ++i)
 using namespace std;
-typedef vector<int> vi;
+
 typedef pair<int,int> ii;
 typedef vector<ii> vii;
 typedef vector<vii> AdjList;
 
-AdjList graph;
-vector<bool> taken;
-priority_queue<ii,vii,greater<ii>> pq;
-
-void process(int u) {
+void process(int u, priority_queue<ii,vii,greater<ii>>& pq, vector<bool>& taken, AdjList const& graph) {
     taken[u] = true;
-    FOR(j,0,graph[u].size()-1) {
-        auto [v, w] = graph[u][j];
-        if(!taken[v]) pq.emplace(w, v);
-    }
+    for(auto&& [v, w] : graph[u]) if(!taken[v])
+        pq.emplace(w, v);
 }
 
 int main() {
     int V, E; cin >> V >> E;
-    graph.resize(V);
-    taken.assign(V, false);
-    FOR(i,1,E) {
+    AdjList graph(V);
+    vector<bool> taken(V, false);
+    for(int i = 0; i < E; ++i) {
         int u, v, w; cin >> u >> v >> w;
         graph[u].emplace_back(v, w);
         graph[v].emplace_back(u, w);
     }
-    process(0);
+    priority_queue<ii,vii,greater<ii>> pq;
+    process(0, pq, taken, graph);
     int mst_cost{0};
     while(!pq.empty()) {
-        auto [w, v] = pq.top(); pq.pop();
-        if(!taken[v]) mst_cost += w, process(v);
+        auto [w, u] = pq.top();
+        pq.pop();
+        if(!taken[u]) mst_cost += w, process(u, pq, taken, graph);
     }
-    cout << "mst cost: " << mst_cost << endl;
     return 0;
 }
\ No newline at end of file