From 366e5454b54f6c40ea91f8fcf9a45d450b204f0a Mon Sep 17 00:00:00 2001
From: Amr Keleg <amr_mohamed@live.com>
Date: Sat, 20 Oct 2018 14:53:42 +0200
Subject: [PATCH 1/2] Oct 2018

ECPC2017 D
---
 Codeforces/CF101840-GYM-D.cpp | 128 ++++++++++++++++++++++++++++++++++
 1 file changed, 128 insertions(+)
 create mode 100644 Codeforces/CF101840-GYM-D.cpp

diff --git a/Codeforces/CF101840-GYM-D.cpp b/Codeforces/CF101840-GYM-D.cpp
new file mode 100644
index 0000000..d2522c0
--- /dev/null
+++ b/Codeforces/CF101840-GYM-D.cpp
@@ -0,0 +1,128 @@
+// AC
+#include <bits/stdc++.h>
+using namespace std;
+
+int a[100000];
+int vis[100000] = {};
+int t;
+vector<queue<int> > divisors(100001);
+
+vector<int> parent;
+
+int find(int node)
+{
+	if (node == parent[node])
+	return node;
+	return parent[node] = find(parent[node]);
+}
+
+void merge(int a, int b)
+{
+	int pa = find(a);
+	int pb = find(b);
+	if (pa==pb)return;
+	// merge
+	parent[pa] = pb;
+}
+
+int main()
+{
+	freopen("dream.in", "r", stdin);
+	int T;
+	cin>>T;
+	for (t=1;t<=T;t++){
+		int n;
+		cin>>n;
+		parent = vector<int> (n);
+		for (int i=0;i<n;i++){
+			cin>>a[i];
+			parent[i] = i;
+			for (long long int div=1; div*div<=a[i]; div++)
+			{
+				if (a[i] % div == 0)
+				{
+					if (div*div == a[i])
+					{
+						divisors[div].push(i);
+					}
+					else
+					{
+						divisors[div].push(i);
+						divisors[a[i]/div].push(i);
+					}
+				}
+			}
+		}
+		long long int ans = 0;
+		if (n!=1)
+		{
+			for (int div=100000; div>=1; div--){
+				queue<int> & q = divisors[div];
+				if (q.empty())
+				{
+					continue;
+				}
+				if (q.size()==1)
+				{
+					q.pop();
+					continue;
+				}
+				else
+				{
+					int n_new = 0;
+					int gcd_n = q.size();
+					// add edges for finding components
+					int root = -1;
+					queue<int> new_nodes;
+					queue<int> old_nodes;
+					while(!q.empty())
+					{
+						int node = q.front();
+						q.pop();
+						if (vis[node] != t)
+						{
+							vis[node] = t;
+							new_nodes.push(node);
+							n_new++;
+						}
+						else
+						{
+							old_nodes.push(node);
+							root = node;
+						}
+					}
+					if (gcd_n == n_new){
+						root = new_nodes.front();
+						new_nodes.pop();
+					}
+					while(!new_nodes.empty()){
+						int node = new_nodes.front();
+						new_nodes.pop();
+						ans += div;
+						merge(node, root);
+					}
+
+					if (! old_nodes.empty())
+					{
+						int node_first = old_nodes.front();
+						old_nodes.pop();
+						while(!old_nodes.empty())
+						{
+							int node_second = old_nodes.front();
+							old_nodes.pop();
+							int pf = find(node_first);
+							int ps = find(node_second);
+							if (pf != ps)
+							{
+								//merge
+								merge(node_second, node_first);
+								ans+= div;
+							}
+						}
+					}
+				}
+			}
+		}
+		printf("Case %d: %lld\n", t, ans);
+	}
+}

From 92be362179e3fa3188c0fd74bbfb9cc53facbd6b Mon Sep 17 00:00:00 2001
From: Amr Keleg <amr_mohamed@live.com>
Date: Tue, 29 Jan 2019 19:19:29 +0200
Subject: [PATCH 2/2] Jan 2019

ECPC2017 K, L
---
 Codeforces/CF101840-GYM-K.py | 14 ++++++++++++++
 Codeforces/CF101840-GYM-L.py | 10 ++++++++++
 2 files changed, 24 insertions(+)
 create mode 100644 Codeforces/CF101840-GYM-K.py
 create mode 100644 Codeforces/CF101840-GYM-L.py

diff --git a/Codeforces/CF101840-GYM-K.py b/Codeforces/CF101840-GYM-K.py
new file mode 100644
index 0000000..826e057
--- /dev/null
+++ b/Codeforces/CF101840-GYM-K.py
@@ -0,0 +1,14 @@
+'''
+AC
+
+Notes:
+- Max no of doals is at most = no of bodies
+- The second choice isn't good (First choice is always better than it)
+- It's better to use just one eye and one mouth than using two eyes
+'''
+
+with open('katryoshka.in', 'r') as f:
+	T = int(f.readline())
+	for t in range(1, T+1):
+		n, m, k = [int(no) for no in f.readline().split()]
+		print('Case {}: {}'.format(t, min(k, n if m>=n else m + (n-m)//2)))
diff --git a/Codeforces/CF101840-GYM-L.py b/Codeforces/CF101840-GYM-L.py
new file mode 100644
index 0000000..bf37170
--- /dev/null
+++ b/Codeforces/CF101840-GYM-L.py
@@ -0,0 +1,10 @@
+'''
+AC
+
+No of matches = No of teams - 1
+'''
+with open('lazy.in', 'r') as f:
+	T = int(f.readline())
+	for i in range(T):
+		n_teams = int(f.readline())
+		print('Case {}: {}'.format(i+1, n_teams-1))