# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
153971 | Mercenary | Factories (JOI14_factories) | C++14 | 0 ms | 0 KiB |
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 "factories.h"
#include<bits/stdc++.h>
#define pb push_back
#define mp make_pair
using namespace std;
const int maxn = 5e5 + 5;
const int logn = log2(maxn) + 1;
typedef pair<int,int> ii;
typedef long long ll;
int h[maxn] , P[maxn][logn];
int big[maxn] , vis[maxn] , n , sub[maxn];
ll dep[maxn] , cen[maxn];
vector<int> v[maxn] , now;
vector<ii> adj[maxn];
void DFS(int u , int v){
now.pb(u);
sub[u] = 1;
big[u] = -1;
for(auto& c : adj[u]){
if(c.first != v && vis[c.first] == 0){
DFS(c.first , u);
sub[u] += sub[c.first];
if(big[u] == -1 || sub[big[u]] < sub[c.first])big[u] = c.first;
}
}
}
int FindRoot(int u){
now.clear();
DFS(u , -1);
int total = sub[u];
while(big[u] != -1 && sub[big[u]] * 2 >= total)u = big[u];
return u;
}
void Decompose(int u){
u = FindRoot(u);
for(int & c : now)v[c].pb(u);
vis[u] = 1;
for(auto& c : adj[u]){
if(vis[c.first] == 0){
Decompose(c.first);
}
}
}
int LCA(int u , int v){
if(h[u] < h[v])swap(u , v);
for(int i = 0 ; i < logn && h[u] != h[v] ; ++i){
if((h[u] - h[v]) & (1 << i))u = P[u][i];
}
if(u == v)return u;
for(int i = logn - 1 ; i >= 0 ; --i){
if(P[u][i] != P[v][i]){
u = P[u][i];
v = P[v][i];
}
}
return P[u][0];
}
ll dis(int u , int v){
return dep[u] + dep[v] - 2 * dep[LCA(u , v)];
}
vector<ll> predis[maxn];
void Init(int N, int A[], int B[], int D[]) {
n = N;
for(int i = 0 ; i < n - 1 ; ++i){
adj[A[i]].pb(mp(B[i] , D[i]));
adj[B[i]].pb(mp(A[i] , D[i]));
}
function<void(int,int)> DFS = [&](int u , int v){
for(auto & c : adj[u]){
if(c.first != v){
h[c.first] = h[u] + 1;
dep[c.first] = dep[u] + c.second;
P[c.first][0] = u;
for(int i = 1 ; i < logn && P[c.first][i - 1] != -1 ; ++i){
P[c.first][i] = P[P[c.first][i - 1]][i - 1];
}
DFS(c.first , u);
}
}
};
memset(P,-1,sizeof P);
DFS(0 , -1);
Decompose(0);
for(int i = 0 ; i < n ; ++i)cen[i] = 1e18;
for(int i = 0 ; i < n ; ++i){
for(int & c : v[i]){
predis[i].pb(dis(c , i));
}
}
}
long long Query(int S, int X[], int T, int Y[]) {
ll total = 1e18;
for(int i = 0 ; i < S ; ++i){
for(int j = (int)v[X[i]].size() -1; j >= 0 ; --j){
cen[v[X[i]][j]] = min(cen[v[X[i]][j]] , predis[X[i]][j]);
}
}
for(int i = 0 ; i < T ; ++i){
ll res = 1e18;
for(int j = (int)v[Y[i]].size() -1; j >= 0 ; --j){
res = min(res , predis[Y[i]][j] + cen[v[Y[i]][j]]);
}
total = min(total , res);
}
for(int i = 0 ; i < S ; ++i){
for(int c : v[X[i]]){
cen[c] = 1e18;
}
}
return total;
}
#include "factories.h"
#include <stdio.h>
#include <stdlib.h>
#define MAX_N 500000
#define MAX_Q 100000
#define MAX_SUM_ST 1000000
#define MAX_VALUE 1000000000
static int N, Q;
static int A[MAX_N], B[MAX_N], D[MAX_N];
static int S[MAX_N];
static int T[MAX_N];
static int X[MAX_SUM_ST];
static int Y[MAX_SUM_ST];
static int Qx[MAX_N];
static int Qy[MAX_N];
int main() {
freopen("sample-in-01.txt","r",stdin);
int i, j, k;
int STop, TTop;
if (2 != scanf("%d%d", &N, &Q)) {
fprintf(stderr, "error: cannot read N and Q.\n");
exit(1);
}
if (!(2 <= N && N <= MAX_N)) {
fprintf(stderr, "error: N is out of bounds.\n");
exit(1);
}
if (!(1 <= Q && Q <= MAX_Q)) {
fprintf(stderr, "error: Q is out of bounds.\n");
exit(1);
}
for (i = 0; i < N - 1; ++i) {
if (1 != scanf("%d", &A[i])) {
fprintf(stderr, "error: cannot read A[%d].\n", i);
exit(1);
}
if (!(0 <= A[i] && A[i] <= N - 1)) {
fprintf(stderr, "error: A[%d] is out of bounds.\n", i);
exit(1);
}
if (1 != scanf("%d", &B[i])) {
fprintf(stderr, "error: cannot read B[%d].\n", i);
exit(1);
}
if (!(0 <= B[i] && B[i] <= N - 1)) {
fprintf(stderr, "error: B[%d] is out of bounds.\n", i);
exit(1);
}
if (A[i] == B[i]) {
fprintf(stderr, "error: B[%d] is equal to A[%d].\n", i, i);
exit(1);
}
if (1 != scanf("%d", &D[i])) {
fprintf(stderr, "error: cannot read D[%d].\n", i);
exit(1);
}
if (!(1 <= D[i] && D[i] <= MAX_VALUE)) {
fprintf(stderr, "error: D[%d] is out of bounds.\n", i);
exit(1);
}
}
STop = 0;
TTop = 0;
for (j = 0; j < Q; ++j) {
if (2 != scanf("%d%d", &S[j], &T[j])) {
fprintf(stderr, "error: cannot read L[%d] and R[%d].\n", j, j);
exit(1);
}
if(STop + S[j] > MAX_SUM_ST) {
fprintf(stderr, "error: S[0] + S[1] + ... + S[%d] is out of bounds.\n", j);
exit(1);
}
if(TTop + T[j] > MAX_SUM_ST) {
fprintf(stderr, "error: T[0] + T[1] + ... + T[%d] is out of bounds.\n", j);
exit(1);
}
for (k = 0; k < S[j]; ++k, ++STop) {
if (1 != scanf("%d", &X[STop])) {
fprintf(stderr, "error: cannot read X[%d][%d].\n", j, k);
exit(1);
}
if (!(0 <= X[STop] && X[STop] <= N - 1)) {
fprintf(stderr, "error: cannot read X[%d][%d].\n", j, k);
exit(1);
}
}
for (k = 0; k < T[j]; ++k, ++TTop) {
if (1 != scanf("%d", &Y[TTop])) {
fprintf(stderr, "error: cannot read Y[%d][%d].\n", j, k);
exit(1);
}
if (!(0 <= Y[TTop] && Y[TTop] <= N - 1)) {
fprintf(stderr, "error: cannot read Y[%d][%d].\n", j, k);
exit(1);
}
}
}
STop = 0;
TTop = 0;
Init(N, A, B, D);
for (j = 0; j < Q; ++j) {
for (k = 0; k < S[j]; k++) {
Qx[k] = X[STop++];
}
for (k = 0; k < T[j]; k++) {
Qy[k] = Y[TTop++];
}
printf("%lld\n", Query(S[j], Qx, T[j], Qy));
}
return 0;
}