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Tree matching.cpp
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#include<bits/stdc++.h>
const double pi=acos(-1.0);
using namespace std;
#define endl '\n'
#define sl(n) scanf("%lld",&n)
#define mp make_pair
#define pb push_back
#define ppb pop_back
#define fi first
#define se second
#define ll long long
#define ull unsigned long long
#define ld long double
#define pii pair<int, int>
#define f(i,a,b) for(ll i = (ll)(a); i < (ll)(b); i++)
#define rf(i,a,b) for(ll i = (ll)(a); i > (ll)(b); i--)
#define ms(a,b) memset((a),(b),sizeof(a))
#define abs(x) ((x<0)?(-(x)):(x))
#define MAX 200005
#define inf LLONG_MAX
#define ninf LLONG_MIN
#define MIN INT_MIN
#define yeet return 0;
#define tihs if(fopen("input.txt","r"))freopen("input.txt", "r", stdin),freopen("output.txt", "w", stdout);
#define fast_io ios_base::sync_with_stdio (false) ; cin.tie(0) ; cout.tie(0) ;
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
inline long long MAX2(long long a, long long b){return (a)>(b)?(a):(b);}
inline long long MAX3(long long a, long long b,long long c){return (a)>(b)?((a)>(c)?(a):(c)):((b)>(c)?(b):(c));}
inline long long MIN2(long long a, long long b){return (a)<(b)?(a):(b);}
inline long long MIN3(long long a, long long b,long long c){return (a)<(b)?((a)<(c)?(a):(c)):((b)<(c)?(b):(c));}
int mod = 1e9 +7 ;
////****************************************************************************************************************************************************************************************************************////
vector<int>adj[MAX];
ll dp[MAX][2];
void dfs (int src,int par){
int leaf=1;
dp[src][1]=0;
dp[src][0]=0;
for(auto child:adj[src]){
if(child!=par){
leaf=0;
dfs(child,src);
}
}
if(leaf==1)return ;
for(auto child:adj[src]){
if(child!=par){
dp[src][0]+=MAX2(dp[child][0],dp[child][1]);
}
}
for(auto child:adj[src]){
if(child!=par) {
dp[src][1]=MAX2(dp[src][1],1+ dp[child][0]+( dp[src][0]-MAX2(dp[child][0],dp[child][1])));
}
}
}
int main(){
tihs;
int n;
cin>>n;
for(int i=0;i<n-1;i++){
int ss,ee;
cin>>ss>>ee;
adj[ss].pb(ee);
adj[ee].pb(ss);
}
dfs(1,0);
cout<<MAX2(dp[1][0],dp[1][1])<<endl;
}