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>
using namespace std;
const int N = 1e5 + 10;
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
long long dp[N][21];
bool on[N];
int n, m, k;
int D[N], V[N], W[N];
vector<int> g[N];
long long dfs(int v, int lm) {
if(dp[v][lm] != -1)
return dp[v][lm];
long long &ret = dp[v][lm];
ret = 0;
for(auto c : g[v]) {
long long ps = 0;
if(on[c] && lm >= D[c])
ps = max(ps, dfs(c, D[c]) + W[c]);
ps = max(ps, dfs(c, lm));
ret += ps;
}
return ret;
}
const int INF = 1e9 + 2;
void test_case() {
cin >> n >> m >> k;
for(int j = 1;j < n;++j) {
int x;
cin >> x;
--x;
g[x].push_back(j);
}
for(int i = 0;i < m;++i) {
int v, d, w;
cin >> v >> d >> w;
--v;
on[v] = 1;
D[v] = d;
W[v] = w;
}
int res = 0;
vector<int> p(n, -INF);
auto find_id = [&](int x) {
int l = 0, r =n;
while(l < r) {
int md = (l + r) >> 1;
if(x <= p[md]) l = md + 1;
else r = md;
}
return l;
};
for(int j = 0;j < n;++j) {
int ls = find_id(D[j]);
res = max(res, ls + 1);
p[ls] = D[j];
}
cout << res << '\n';
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tt;
tt = 1;
//cin >> tt;
for(int p = 1;p <= tt;++p) {
//cout << "Case #" << p << ": ";
test_case();
}
return 0;
}
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