# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
718694 | Ozy | Harbingers (CEOI09_harbingers) | C++17 | 1080 ms | 25676 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <iostream>
#include <bits/stdc++.h>
using namespace std;
#define debug(a) cout << #a << " = " << a << endl
#define debugsl(a) cout << #a << " = " << a << ", "
#define rep(i,a,b) for(int i = (a); i <= (b); i++)
#define repa(i,a,b) for(int i = (a); i >= (b); i--)
#define lli long long int
#define pll pair<lli,lli>
#define MAX 100000
// para los hijos
#define des first
#define w second
//para el arreglo de lin
#define prep first
#define vel second
//para el convex hull
#define m first
#define ord second
lli n,a,b,c;
vector<pair<int, int> > hijos[MAX+2];
pair<int, int> lin[MAX+2];
pll ch[MAX+2];
long double anterior[MAX+2];
int ancestros[19][MAX+2];
lli dp[MAX+2],prof[MAX+2];
long double cruce(pll a, pll b) {
long double u = a.ord - b.ord;
long double v = b.m - a.m;
u /= v;
return u;
}
void solve(int pos, int padre, lli p) {
prof[pos] = p;
// responde la pregunta para mi posicion
lli x = padre;
repa(i,18,0) if (anterior[ancestros[i][x]] >= lin[pos].vel) x = ancestros[i][x];
while (anterior[x] >= lin[pos].vel) x = ancestros[0][x];
dp[pos] = lin[pos].prep + prof[pos]*lin[pos].vel + dp[x] - prof[x]*lin[pos].vel;
//hago mi propia línea
ch[pos].ord = dp[pos];
ch[pos].m = -prof[pos];
//me integro en el convex hull trick con binaria
x = padre;
while (x)
if (cruce(ch[pos], ch[x]) <= anterior[x]) x = ancestros[0][x];
else break;
//repa(i,18,0) if (cruce(ch[pos], ch[ancestros[i][x]]) <= anterior[ancestros[i][x]]) x = ancestros[0][ancestros[i][x]];
ancestros[0][pos] = x;
anterior[pos] = cruce(ch[pos], ch[x]);
// ESTE ERA EL ERROR!!!! repa(i,1,18) {
repa(i,18,1) {
ancestros[i][pos] = ancestros[i-1][x];
x = ancestros[i][pos];
}
for(auto h : hijos[pos]) {
if (h.des == padre) continue;
solve(h.des,pos,p+h.w);
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
rep(i,2,n) {
cin >> a >> b >> c;
hijos[a].push_back({b,c});
hijos[b].push_back({a,c});
}
rep(i,2,n) cin >> lin[i].prep >> lin[i].vel;
for (auto h : hijos[1]) {
solve(h.des,1,h.w);
}
rep(i,2,n) cout << dp[i] << ' ';
return 0;
}
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