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 "job.h"
#include <bits/extc++.h>
#include <vector>
#define pb emplace_back
const int maxn = 200010;
using ll = long long;
using namespace std;
int deg[maxn], togo[maxn], tl, n;
ll res;
vector<int> edge[maxn];//, sorted[maxn];
ll p[maxn], u[maxn], d[maxn];
struct cmp {
bool operator()(int a, int b) const {
return d[a] * u[b] > d[b] * u[a];
}
};
__gnu_pbds::priority_queue<int, cmp> sorted[maxn];
void sub_merge(int a, int b) {
res -= (ll)d[b] * u[a];
d[a] += d[b];
u[a] += u[b];
}
void get_ans() {
res = 0;
for (int i = 0;i < n;++i) {
int now = togo[i];
for (int u : edge[now]) {
sorted[now].join(sorted[u]);
// if (sorted[u].size() > sorted[now].size()) swap(sorted[u], sorted[now]);
// int a = sorted[now].size();
// //for (int s : sorted[u]) sorted[now].pb(s);
// sorted[now].insert(sorted[now].end(), sorted[u].begin(), sorted[u].end());
// inplace_merge(sorted[now].begin(), sorted[now].begin()+a, sorted[now].end(), cmp());
}
//sort(sorted[now].begin(), sorted[now].end(), cmp());
while (sorted[now].size() && cmp()(now, sorted[now].top())) {
sub_merge(now, sorted[now].top());
sorted[now].pop();
}
sorted[now].push(now);
// if (now)
// sorted[now].pb(now);
}
auto &v = sorted[0];
//sort(v.begin(), v.end(), cmp());
ll t = 0;
auto dojob = [&](int a) {
//cerr << "dojob " << a << ' ' << "d, u : " << d[a] << ' ' << u[a] << '\n';
t += d[a];
res += t * u[a];
};
//dojob(0);
while (v.size()) {
dojob(v.top());
v.pop();
//v.pop_back();
}
}
//long long bf() {
// static bool did[maxn];
// auto &v = edge[0];
// sort(v.begin(), v.end(), cmp());
// for (int u : v)assert(u);
// ll t = 0;
// ll res = 0;
// auto dojob = [&](int a) {
// t += d[a];
// res += t * u[a];
// };
// dojob(0);
// for (int i = (int)v.size()-1;i >= 0;--i)
// dojob(v[i]);
// return res;
//}
long long scheduling_cost(std::vector<int> p, std::vector<int> u, std::vector<int> d) {
n = p.size();
for (int i = 1;i < n;++i) edge[p[i]].pb(i);
for (int i = 1;i < n;++i) ++deg[ p[i] ];
for (int i = 0;i < n;++i) if (deg[i] == 0)
togo[tl++] = i;
for (int i = 0;i < n;++i) {
int now = togo[i];
if (now == 0) {
assert(n-1 == i);
break;
}
if ( --deg[ p[now] ] == 0) togo[tl++] = p[now];
}
for (int i = 0;i < n;++i)
::p[i] = p[i], ::u[i] = u[i], ::d[i] = d[i];
get_ans();
return res;
//cerr << "my ans is : " << res << '\n';
//res = 0;
//cerr << "brute force : " << bf() << '\n';
//return bf();
}
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