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>
#define DIM 100010
using namespace std;
int v[DIM],cost[DIM],d[DIM],a[DIM];
long long dp[DIM][30];
vector <int> L[DIM];
int n,m,k,i,j,x,y;
void dfs (int nod, int tata){
int ok = 0;
for (auto vecin : L[nod])
if (vecin != tata){
ok = 1;
dfs (vecin,nod);
}
if (!ok){
if (v[nod]){
for (int i=v[nod];i<=k;i++)
dp[nod][i] = cost[nod];
}
} else {
for (auto vecin : L[nod]){
if (vecin == tata)
continue;
for (int i=1;i<=k;i++){
dp[nod][i] += dp[vecin][i];
}
}
if (v[nod]){
long long val = cost[nod];
for (auto vecin : L[nod])
if (vecin != tata)
val += dp[vecin][v[nod]];
dp[nod][v[nod]] = max (dp[nod][v[nod]],val);
}
for (int i=1;i<=k;i++)
dp[nod][i] = max (dp[nod][i],dp[nod][i-1]);
}
}
int main (){
//ifstream cin ("date.in");
//ofstream cout ("date.out");
cin>>n>>m>>k;
int ok2 = 1; /// cazul cu lant
for (i=2;i<=n;i++){
cin>>x;
L[x].push_back(i);
L[i].push_back(x);
if (x != i-1)
ok2 = 0;
}
int ok = 1; long long sum = 0;
for (i=1;i<=m;i++){
cin>>x;
cin>>v[x]>>cost[x];
if (L[x].size() > 1)
ok = 0;
sum += cost[x];
if (cost[x] != 1)
ok2 = 0;
}
if (ok){
cout<<sum;
return 0;
}
if (ok2){
int el = 0;
for (i=1;i<=n;i++)
if (v[i])
a[++el] = v[i];
reverse (a+1,a+el+1);
int sz = 0;
for (i=1;i<=el;i++){
int st = 1, dr = sz;
while (st <= dr){
int mid = (st+dr)>>1;
if (a[d[mid]] <= a[i])
st = mid+1;
else dr = mid-1;
}
if (st == sz+1)
sz++;
d[st] = i;
}
cout<<sz;
return 0;
}
dfs (1,0);
long long sol = 0;
for (i=1;i<=k;i++)
sol = max (sol,dp[1][i]);
cout<<sol;
return 0;
}
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