#include <bits/stdc++.h>
using namespace std;
using ll = long long;

#define ALL(obj) (obj).begin(),(obj).end()
#define SPEED cin.tie(0);ios::sync_with_stdio(false);

//Union Find Tree
class UnionFindTree {
public:
	vector<int> parent;
    vector<int> rank;

    UnionFindTree(int N) : parent(N), rank(N,0){
		for (int i = 0; i < N; ++i) parent[i] = i;
	}
 
	int root(int n) {
		return (parent[n] == n ? n : parent[n] = root(parent[n]));
	}

    int same(int n, int m) {
		return root(n) == root(m);
	}
 
	void unite(int n, int m) {
		n = root(n);
		m = root(m);
		if (n == m) return;
		if(rank[n]<rank[m]) {
            parent[n] = m;
        }
        else{
            parent[m] = n;
            if(rank[n] == rank[m]) rank[n]++;
        }
	}
};


template<class Operator> class Tree {
	Operator Op;
	using typeDist = decltype(Op.unitDist);
	size_t num;
	size_t ord;
public:
	vector<vector<pair<size_t,typeDist>>> edge;
	vector<size_t> depth;
	vector<size_t> order;
	vector<typeDist> dist;
	vector<pair<size_t,typeDist>> parent;
	vector<vector<pair<size_t,typeDist>>> child;
	vector<array<pair<size_t,typeDist>,Operator::bit>> ancestor;
	vector<size_t> size;
	vector<vector<size_t>> descendant;
	Tree(const int num):num(num),edge(num),depth(num,-1),order(num),dist(num){}
	//O(1) anytime
	void makeEdge(const int& from, const int& to, const typeDist w = 1) {
		edge[from].push_back({to,w});
	}
	//O(N) anytime
	void makeDepth(const int root) {
		depth[root] = 0;
		dist[root] = Op.unitDist;
		ord = 0;
		dfs1(root);
		order[ord++] = root;
	}
	//O(N) anytime
	void makeDepth(void) {
		ord = 0;
		for(size_t root = 0; root < num; ++root) {
			if(depth[root] != -1) continue;
			depth[root] = 0;
			dist[root] = Op.unitDist;
			dfs1(root);
			order[ord++] = root;
		}
	}
	//for makeDepth
	void dfs1(int curr, int prev = -1){
		for(auto& e:edge[curr]){
			int next = e.first;
			if(next==prev) continue;
			depth[next] = depth[curr] + 1;
			dist[next]  = Op.funcDist(dist[curr],e.second);
			dfs1(next,curr);
			order[ord++] = next;
		}
	}
	//O(N) after makeDepth
	void makeParent(void) {
		parent.resize(num,make_pair(num,Op.unitDist));
		for (size_t i = 0; i < num; ++i) for (auto& e : edge[i]) if (depth[i] > depth[e.first]) parent[i] = e;
	}
	//O(N) after makeDepth
	void makeChild(void) {
		child.resize(num);
		for (size_t i = 0; i < num; ++i) for (auto& e : edge[i]) if (depth[i] < depth[e.first]) child[i].push_back(e);
	}
	//O(NlogN) after makeDepth and makeParent
	void makeAncestor(void) {
		ancestor.resize(num);
		for (size_t i = 0; i < num; ++i) ancestor[i][0] = (parent[i].first!=num?parent[i]:make_pair(i,Op.unitLca));
		for (size_t j = 1; j < Operator::bit; ++j) {
			for (size_t i = 0; i < num; ++i) {
				size_t k = ancestor[i][j - 1].first;
				ancestor[i][j] = Op.funcLca(ancestor[k][j - 1],ancestor[i][j - 1]);
			}
		}
	}
	//O(logN) after makeAncestor
	//return {lca,lca_dist} l and r must be connected
	pair<size_t,typeDist> lca(size_t l, size_t r) {
		if (depth[l] < depth[r]) swap(l, r);
		int diff = depth[l] - depth[r];
		auto ancl = make_pair(l,Op.unitLca);
		auto ancr = make_pair(r,Op.unitLca);
		for (int j = 0; j < Operator::bit; ++j) {
			if (diff & (1 << j)) {
				ancl = Op.funcLca(ancestor[ancl.first][j],ancl);
			}
		}
		if(ancl.first==ancr.first) return ancl;
		for (int j = Operator::bit - 1; 0 <= j; --j) {
			if(ancestor[ancl.first][j].first!=ancestor[ancr.first][j].first) {
				ancl = Op.funcLca(ancestor[ancl.first][j],ancl);
				ancr = Op.funcLca(ancestor[ancr.first][j],ancr);
			}
		}
		ancl = Op.funcLca(ancestor[ancl.first][0],ancl);
		ancr = Op.funcLca(ancestor[ancr.first][0],ancr);
		return Op.funcLca(ancl,ancr);
	}
	//O(N) anytime
	int diameter(void){
		makeDepth(0);
		int tmp = max_element(depth.begin(), depth.end()) - depth.begin();
		makeDepth(tmp);
		return *max_element(depth.begin(), depth.end());
	}
	//O(N^2) after makeDepth (include self)
	void makeDescendant(void) {
		descendant.resize(num);
		for (size_t i = 0; i < num; ++i) descendant[i].push_back(i);
		for (size_t i = 0; i < num; ++i) for (auto& e : edge[order[i]]) if (depth[order[i]] < depth[e.first]) for(auto k: descendant[e.first]) descendant[order[i]].push_back(k);
	}
	//O(N) after makeChild
	void makeSize(void) {
		size.resize(num,1);
		for (size_t i:order) for (auto e : child[i]) size[i] += size[e.first];
	}
	//(N) after makeDepth and makeChild
	template<class typeReroot> vector<typeReroot> rerooting(vector<typeReroot> rerootdp,vector<typeReroot> rerootparent) {
		for(size_t pa:order) for(auto& e:child[pa]) rerootdp[pa] = Op.funcReroot(rerootdp[pa],rerootdp[e.first]);
		for(size_t i = 0; i < num; ++i) {
			size_t pa = order[num - 1 - i];
			if(depth[pa]) rerootdp[pa] = Op.funcReroot(rerootdp[pa],rerootparent[pa]);
			size_t m = child[pa].size();
			for(int j = 0; j < m && depth[pa]; ++j){
				size_t ch = child[pa][j].first;
				rerootparent[ch] = Op.funcReroot(rerootparent[ch],rerootparent[pa]);
			}
			if(m <= 1) continue;
			vector<typeReroot> l(m),r(m);
			for(int j = 0; j < m; ++j) {
				size_t ch = child[pa][j].first;
				l[j] = rerootdp[ch];
				r[j] = rerootdp[ch];
			}
			for(int j = 1; j+1 < m; ++j) l[j] = Op.funcRerootMerge(l[j],l[j-1]);
			for(int j = m-2; 0 <=j; --j) r[j] = Op.funcRerootMerge(r[j],r[j+1]);
			size_t chl = child[pa].front().first;
			size_t chr = child[pa].back().first;
			rerootparent[chl] = Op.funcReroot(rerootparent[chl],r[1]);
			rerootparent[chr] = Op.funcReroot(rerootparent[chr],l[m-2]);
			for(int j = 1; j+1 < m; ++j) {
				size_t ch = child[pa][j].first;
				rerootparent[ch] = Op.funcReroot(rerootparent[ch],l[j-1]);
				rerootparent[ch] = Op.funcReroot(rerootparent[ch],r[j+1]);
			}
		}
		return rerootdp;
    }
};
//depth,dist
//https://atcoder.jp/contests/abc126/tasks/abc126_d
//child
//https://atcoder.jp/contests/abc133/tasks/abc133_e
//lca
//https://atcoder.jp/contests/abc014/tasks/abc014_4
//weighted lca
//https://atcoder.jp/contests/code-thanks-festival-2017-open/tasks/code_thanks_festival_2017_h
//https://atcoder.jp/contests/cf16-tournament-round1-open/tasks/asaporo_c
//diameter
//https://atcoder.jp/contests/agc033/tasks/agc033_c
//descendant
//https://atcoder.jp/contests/code-thanks-festival-2018/tasks/code_thanks_festival_2018_f
//size
//https://yukicoder.me/problems/no/872
//eulerTour
//https://yukicoder.me/problems/no/900
template<class typeDist> struct treeOperator{
	static const size_t bit = 20;
	typeDist unitDist = 0;
	typeDist unitLca = 0;
	typeDist funcDist(const typeDist& parent,const typeDist& w){return parent+w;}
	pair<size_t,typeDist> funcLca(const pair<size_t,typeDist>& l,const pair<size_t,typeDist>& r){return make_pair(l.first,l.second+r.second);}
	template<class typeReroot> typeReroot funcReroot(const typeReroot& l,const typeReroot& r) {
		return {l.first+r.first+r.second,l.second+r.second};
	}
	template<class typeReroot> typeReroot funcRerootMerge(const typeReroot& l,const typeReroot& r) {
		return {l.first+r.first,l.second+r.second};
	}
};
// Tree<treeOperator<int>> tree(N);

template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;}
template <class T>ostream &operator<<(ostream &o, const set<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const multiset<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;}
template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;}
template <template <class tmp>  class T, class U> ostream &operator<<(ostream &o, const T<U> &obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr)o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
void print(void) {cout << endl;}
template <class Head> void print(Head&& head) {cout << head;print();}
template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward<Tail>(tail)...);}


int main() {
    SPEED
    int N,M,Q; cin >> N >> M >> Q;
    UnionFindTree uf(N);
	Tree<treeOperator<ll>> tree(N);
    for(int i = 0; i < M; ++i){
        int u,v; cin >> u >> v;
        u--,v--;
		uf.unite(u,v);
		tree.makeEdge(u,v);
		tree.makeEdge(v,u);
    }
	tree.makeDepth();
	tree.makeParent();
	tree.makeAncestor();
	tree.makeChild();
    ll ans = 0;
	vector<pair<ll,ll>> cnt(N,{0,0}),par(N,{0,0});
	for(int i = 0; i < Q; ++i){
        int a,b; cin >> a >> b;
        a--,b--;
        if(uf.same(a,b)){
			ans += tree.lca(a,b).second;
        }
        else{
            cnt[a].second++;
            cnt[b].second++;
        }
    }
	for(int i = 0; i < N; ++i) if(tree.depth[i]) par[i] = cnt[tree.parent[i].first];
	auto dp = tree.rerooting<pair<ll,ll>>(cnt,par);
	const ll inf = 1e15;
	vector<ll> sum(N,inf);
	for(int i = 0,j; i < N; ++i) j = uf.root(i),sum[j] = min(sum[j],dp[i].first); 
    for(int i = 0; i < N; ++i) if(sum[i] != inf) ans += sum[i];
	cout << ans << endl;
	return 0;
}