This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//In His Name
#include <bits/stdc++.h>
//#pragma GCC optimization("O3")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC target("avx2")
using namespace std;
#define ll long long
#define int ll
typedef pair<int, int> pii;
#define F first
#define S second
#define pb push_back
#define bug(x) cout << "Ah shit , here we go again : " << x <<endl
#define all(x) x.begin() , x.end()
const int maxn = 1e5 + 10, MOD = 1e9 + 7 ;
const ll INF = 1e18 + 100;
struct hoom{
int v , d , w;
};
int n , m , k , maxi = -INF , ar[maxn] , javab;
vector<int> adj[maxn] , nums;
vector<hoom> mive;
bool isok = true;
bool cmp(hoom x , hoom y){
return (x.v < y.v);
}
void Dfs(int v , int p , int mask){
for(int u : adj[v]){
if(u == p) continue;
Dfs(u , v , mask);
}
if(ar[v] != -1){
if((mask & (1 << ar[v]))) {
if (maxi <= mive[ar[v]].d) {
javab += 1;
maxi = max(maxi, mive[ar[v]].d);
}
}
}
}
void Sub1(){
int res = 0;
for(int i = 1 ; i < (1 << m) ; i++){
maxi = -INF , javab = 0 , isok = true;
Dfs(1 , 0 , i);
res = max(res , javab);
}
cout << res;
}
void Sub3(){
for(auto i : mive) nums.pb(i.d);
reverse(all(nums));
vector<int> ans;
int N = nums.size();
for (int i = 0; i < N; i++) {
auto it = upper_bound(ans.begin(), ans.end(), nums[i]);
if (it == ans.end()) {
ans.push_back(nums[i]);
}
else {
*it = nums[i];
}
}
cout << ans.size();
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(0) , cout.tie(0);
cin >> n >> m >> k;
memset(ar , -1 , sizeof ar);
int is3 = true;
for(int i = 2 ; i <= n ; i++){
int p;
cin >> p;
adj[p].pb(i);
if(p != i-1) is3 = false;
}
int sum = 0;
for(int i = 0 ; i < m ; i++){
int a , b , c;
cin >> a >> b >> c;
sum += c;
if(c != 1) is3 = false;
mive.pb({a , b , c});
ar[a] = i;
}
if(is3){
sort(all(mive) ,cmp);
Sub3();
return 0;
}
if(n <= 20){
Sub1();
return 0;
}
cout << sum;
}
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