This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
____ ____ ____ ____ ____ ____
||l |||e |||i |||n |||a |||d ||
||__|||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|/__\|
**/
#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
typedef long long ll;
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
const int maxn = 1e5 + 10, maxk = 21;
int n, m, k, p[maxn], w[maxn], d[maxn];
ll dp[maxn][maxk], diff[maxn][maxk];
vector < int > adj[maxn];
void dfs(int v)
{
for (int u : adj[v])
{
dfs(u);
for (int j = 1; j <= k; j ++)
{
dp[v][j] += dp[u][j];
diff[v][j - 1] += dp[u][j];
diff[v][j] -= dp[u][j];
//for (int j = 2; j <= k; j ++)
//dp[v][j] = max(dp[v][j], dp[v][j - 1]);
/**int pt = j;
ll sum = diff[v][j];
while(sum < 0)
{
}*/
}
}
if (d[v] != 0)
{
dp[v][d[v]] += w[v];
diff[v][d[v] - 1] += w[v];
diff[v][d[v] - 1] -= w[v];
}
for (int j = 1; j < k; j ++)
{
if (diff[v][j] < 0)
{
diff[v][j + 1] += diff[v][j];
diff[v][j] = 0;
}
}
for (int j = 2; j <= k; j ++)
dp[v][j] = max(dp[v][j], dp[v][j - 1]);
/**cout << "----------" << endl;
cout << v << endl;
for (int j = 1; j < k; j ++)
cout << diff[v][j] << " ";
cout << endl;*/
}
void solve()
{
cin >> n >> m >> k;
for (int i = 2; i <= n; i ++)
{
cin >> p[i];
adj[p[i]].push_back(i);
}
for (int i = 1; i <= m; i ++)
{
int v;
cin >> v >> d[v] >> w[v];
}
dfs(1);
ll ans = 0;
for (int j = 1; j < k; j ++)
ans = ans + diff[1][j];
cout << ans << endl;
}
int main()
{
solve();
return 0;
}
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