This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#include<fstream>
using namespace std;
#define sz(a) (int)a.size()
#define ALL(v) v.begin(), v.end()
#define ALLR(v) v.rbegin(), v.rend()
#define ll long long
#define pb push_back
#define forr(i, a, b) for(int i = a; i < b; i++)
#define dorr(i, a, b) for(int i = a; i >= b; i--)
#define ld long double
#define vt vector
#include<fstream>
#define fi first
#define se second
#define pll pair<ll, ll>
#define pii pair<int, int>
#define mpp make_pair
const ld PI = 3.14159265359, prec = 1e-9;;
//using u128 = __uint128_t;
//const int x[4] = {1, 0, -1, 0};
//const int y[4] = {0, -1, 0, 1};
const ll mod = 998244353, pr = 31;
const int mxn = 2e5 + 5, mxq = 1e5 + 5, sq = 300, mxv = 5e4 + 1;
//const int base = (1 <<18);
const ll inf = 1e16 + 5, neg = -69420, inf2 = 1e14;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// have fun!
// <3;
int n, m;
int cnt[mxn + 1], mn[mxn + 1], cntp[mxn + 1], deg[mxn + 1];
void solve(){
cin >> n >> m;
if(n == 2 && m == 0){
cout << 1 << " " << 1;
return;
}
for(int i = 2; i * i <= mxn; i++){
if(!mn[i]){
for(int j = i * i; j <= mxn; j += i){
if(!mn[j])mn[j] = i;
}
}
}
for(int i = 2; i <= mxn; i++){
if(!mn[i])mn[i] = i;
}
for(int i = 0; i < n + m - 1; i++){
int u, v; cin >> u >> v;
deg[u]++; deg[v]++;
}
for(int i = n + 1; i <= n + m - 1; i++)cnt[deg[i] - 1]++;
cnt[deg[n + m] - 1]++;
for(int i = n + m - 1; i >= 2; i--){
cnt[i] += cnt[i + 1];
int x = i;
while(x != 1){
int cr = mn[x], cntt = 0;
while(x % cr == 0){
x /= cr; cntt++;
}
cntp[cr] += cntt * cnt[i];
}
}
vt<pll>pr;
for(int i = 2; i <= n + m; i++){
if(cntp[i]){
pr.pb(mpp(i, cntp[i]));
}
}
for(int i =0 ; i < sz(pr); i++){
cout << pr[i].fi << " " << pr[i].se;
if(i != sz(pr) - 1)cout << "\n";
}
}
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
//freopen("netw.inp", "r", stdin);
//freopen("netw.out", "w", stdout);
int tt; tt = 1;
while(tt--){
solve();
}
return(0);
}
/*
1
5 7 2
1 1 1
3 1 2
2 2 3
4 2 4
2 4 2
1 5 5
3 5 2
5 3
2 7
3 3 1
1 1 1
1 2 2
1 3 3
3 1
*/
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