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 X first
#define Y second
#define all(x) begin(x), end(x)
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define FORD(i, b, a) for(int i = (b); i >= (a); i--)
#define REP(i, a, b) for (int i = (a); i < (b); i++)
#define mxx max_element
#define mnn min_element
#define SQR(x) (1LL * (x) * (x))
#define MASK(i) (1LL << (i))
#define Point Vector
#define left Left
#define right Right
#define div Div
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;
typedef pair<db, db> pdb;
typedef pair<ld, ld> pld;
typedef pair<int, int> pii;
typedef pair<int, pii> piii;
typedef pair<ll, ll> pll;
typedef pair<ll, pll> plll;
typedef pair<ll, int> pli;
typedef pair<ll, pii> plii;
template<class A, class B>
bool maximize(A& x, B y) {
if (x < y) return x = y, true; else return false;
}
template<class A, class B>
bool minimize(A& x, B y) {
if (x > y) return x = y, true; else return false;
}
/* END OF TEMPLATE */
const int N = 2e5 + 7;
int p[N], u[N], d[N], n;
bool checkSub1() {
REP(i, 1, n)
if (p[i] != i - 1) return false;
return true;
}
namespace sub1 {
ll Process() {
ll res = 0, sum_t = 0;
REP(i, 0, n) {
sum_t+=d[i];
res+=1LL * u[i] * sum_t;
}
return res;
}
}
bool checkSub3() {
REP(i, 1, n)
if (p[i] != 0) return false;
return true;
}
namespace sub3 {
ll Process() {
vector<int> node;
ll res = 0, sum_t = 0;
sum_t+=d[0];
res+=sum_t * u[0];
REP(i, 1, n)
if (u[i] > 0) node.push_back(i);
sort(all(node), [=](int x, int y){
return (ld)d[x] / u[x] < (ld)d[y] / u[y];
});
for (auto x : node) {
sum_t+=d[x];
res+=sum_t * u[x];
}
return res;
}
}
namespace sub4 {
vector<int> v[N];
ll Process() {
ll res = 0, sum_u = 0;
REP(i, 0, n) sum_u+=u[i];
vector<int> node;
REP(i, 1, n) v[p[i]].push_back(i);
int cntLoop = 0;
node.push_back(0);
while (cntLoop < n) {
cntLoop++;
ll Min = 1e18;
int idx = -1;
sort(all(node), [=](int x, int y){
return (ld)d[x] / u[x] < (ld)d[y] / u[y];
});
REP(i, 0, 1)
if (minimize(Min, 1LL * d[node[i]] * sum_u)) idx = i;
res+=Min;
sum_u-=u[node[idx]];
// cout<<node[idx]<<endl;
vector<int> new_node;
REP(i, 0, (int)node.size())
if (i == idx) {
for (auto x : v[node[i]]) new_node.push_back(x);
}
else new_node.push_back(node[i]);
node = new_node;
}
return res;
}
}
int64_t scheduling_cost(vector<int> P, vector<int> U, vector<int> D) {
n = P.size();
REP(i, 0, n) {
p[i] = P[i];
u[i] = U[i];
d[i] = D[i];
}
if (checkSub1()) {
return sub1::Process();
}
if (checkSub3()) {
return sub3::Process();
}
return sub4::Process();
}
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