// time_limit/sol_vp_sqrt.cpp
#include "deliveries.h"
#include <vector>
#include <iostream>
using namespace std;
const int B = 150;
struct node{
vector<pair<int, long long>> edges;
vector<int> edges_big;
bool used = false;
int cnt = 0, up = 0, up_big = 0;
long long sz = 0, sz_big = 0, w = 0, w_big = 0, weight_sum = 0;
};
vector<node> g;
vector<int> big_nodes;
// LCA
vector<pair<long long, int>> tour;
vector<vector<pair<long long, int>>> st;
vector<long long> dist;
vector<int> in, out;
void lca_dfs(int x, int p, long long d){
in[x] = (int)tour.size();
dist[x] = d;
tour.emplace_back(d, x);
for(auto [y, w] : g[x].edges){
if(y != p){
lca_dfs(y, x, d + w);
}
tour.emplace_back(d, x);
}
out[x] = (int)tour.size() - 1;
}
void build_lca(){
st.assign(tour.size(), vector<pair<long long, int>>(18));
for(int i = 0; i < (int)tour.size(); i++) st[i][0] = tour[i];
for(int j = 1; j < 18; j++){
for(int i = 0; i < (int)tour.size() - (1<<(j-1)); i++){
st[i][j] = min(st[i][j-1], st[i + (1<<(j-1))][j-1]);
}
}
}
int get_lca(int a, int b){
int l = min(in[a], in[b]), r = max(out[a], out[b]);
int bit = 31 - __builtin_clz(r - l + 1);
return min(st[l][bit], st[r-(1<<bit)+1][bit]).second;
}
long long get_dist(int a, int b){
return dist[a] + dist[b] - dist[get_lca(a, b)]*2;
}
// END
int dfs0(int x, int p){
int res = 1;
for(auto [y, w] : g[x].edges){
if(y != p){
res += dfs0(y, x);
}
}
if(res > B){
g[x].used = true;
res = 1;
}
return res;
}
void dfs1(int x, int p, int p_big, long long w, long long w_big){
g[x].up = p;
g[x].up_big = p_big;
g[x].w = w;
g[x].w_big = w_big;
g[x].sz = g[x].cnt;
if(g[x].used){
if(g[x].up_big != -1){
g[g[x].up_big].edges_big.push_back(x);
}
p_big = x;
w_big = 0;
}
for(auto [y, c] : g[x].edges){
if(y != p){
dfs1(y, x, p_big, c, w_big + c);
g[x].sz += g[y].sz;
}
}
g[x].sz_big = g[x].sz;
}
void init(int N, std::vector<int> U, std::vector<int> V, std::vector<int> T, std::vector<int> W) {
g.resize(N);
for(int i = 0; i < N-1; i++){
g[U[i]].edges.emplace_back(V[i], T[i]);
g[V[i]].edges.emplace_back(U[i], T[i]);
}
W[0]++; //set 0
// LCA:
dist.resize(N);
in.resize(N);
out.resize(N);
lca_dfs(0, -1, 0);
build_lca();
// set up cnt
for(int i = 0; i < N; i++){
g[i].cnt = W[i];
}
dfs0(0, -1);
g[0].used = true; //root
dfs1(0, -1, -1, 0, 0);
for(int i = 0; i < N; i++){
if(g[i].used){
big_nodes.push_back(i);
}
}
for(int x : big_nodes){
for(int i = 0; i < N; i++){
long long d = get_dist(x, i);
g[x].weight_sum += d * g[i].cnt;
}
}
return;
}
void update(int x, long long c){
for(int y : big_nodes){
long long d = get_dist(x, y);
g[y].weight_sum += d * (c - g[x].cnt);
}
int y = g[x].used ? x : g[x].up_big;
while(y != -1){
g[y].sz_big += c - g[x].cnt;
y = g[y].up_big;
}
g[x].cnt = c;
}
int get_c_big(int x){
for(int y : g[x].edges_big){
if(g[y].sz_big*2 > g[0].sz_big){
return get_c_big(y);
}
}
return x;
}
long long sz_dfs(int x, int p){
if(g[x].used) return g[x].sz_big; //unset used on root
g[x].sz = g[x].cnt;
for(auto [y, w] : g[x].edges){
if(y != p){
g[x].sz += sz_dfs(y, x);
}
}
return g[x].sz;
}
int get_c(int x, int p){
for(auto [y, w] : g[x].edges){
if(y != p && !g[y].used && g[y].sz*2 >= g[0].sz_big){
return get_c(y, x);
}
}
return x;
}
long long max_time(int S, int X) {
if(S == 0) X++;
update(S, X);
if(g[0].sz_big == 0){
return 0;
}
int C = get_c_big(0);
g[C].used = false;
sz_dfs(C, g[C].up);
g[C].used = true;
int c = get_c(C, g[C].up);
long long res = g[C].weight_sum;
while(c != C){
res += (g[0].sz_big - g[c].sz * 2) * g[c].w;
c = g[c].up;
}
return res * 2;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
85 ms |
7672 KB |
Output is correct |
2 |
Correct |
80 ms |
7372 KB |
Output is correct |
3 |
Correct |
87 ms |
7596 KB |
Output is correct |
4 |
Correct |
91 ms |
7556 KB |
Output is correct |
5 |
Correct |
106 ms |
7640 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
468 KB |
Output is correct |
2 |
Correct |
3 ms |
1228 KB |
Output is correct |
3 |
Correct |
3 ms |
1236 KB |
Output is correct |
4 |
Correct |
3 ms |
1492 KB |
Output is correct |
5 |
Correct |
3 ms |
1492 KB |
Output is correct |
6 |
Correct |
4 ms |
1492 KB |
Output is correct |
7 |
Correct |
3 ms |
1552 KB |
Output is correct |
8 |
Correct |
3 ms |
1492 KB |
Output is correct |
9 |
Correct |
4 ms |
1492 KB |
Output is correct |
10 |
Correct |
4 ms |
1492 KB |
Output is correct |
11 |
Correct |
3 ms |
1492 KB |
Output is correct |
12 |
Correct |
4 ms |
1492 KB |
Output is correct |
13 |
Correct |
6 ms |
1492 KB |
Output is correct |
14 |
Correct |
3 ms |
1492 KB |
Output is correct |
15 |
Correct |
5 ms |
1492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
85 ms |
7672 KB |
Output is correct |
2 |
Correct |
80 ms |
7372 KB |
Output is correct |
3 |
Correct |
87 ms |
7596 KB |
Output is correct |
4 |
Correct |
91 ms |
7556 KB |
Output is correct |
5 |
Correct |
106 ms |
7640 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
7 ms |
1492 KB |
Output is correct |
8 |
Correct |
132 ms |
13152 KB |
Output is correct |
9 |
Execution timed out |
4610 ms |
124728 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
85 ms |
7672 KB |
Output is correct |
2 |
Correct |
80 ms |
7372 KB |
Output is correct |
3 |
Correct |
87 ms |
7596 KB |
Output is correct |
4 |
Correct |
91 ms |
7556 KB |
Output is correct |
5 |
Correct |
106 ms |
7640 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
9 ms |
1620 KB |
Output is correct |
8 |
Correct |
132 ms |
13856 KB |
Output is correct |
9 |
Execution timed out |
4511 ms |
131796 KB |
Time limit exceeded |
10 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
85 ms |
7672 KB |
Output is correct |
2 |
Correct |
80 ms |
7372 KB |
Output is correct |
3 |
Correct |
87 ms |
7596 KB |
Output is correct |
4 |
Correct |
91 ms |
7556 KB |
Output is correct |
5 |
Correct |
106 ms |
7640 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
3 ms |
1228 KB |
Output is correct |
8 |
Correct |
3 ms |
1236 KB |
Output is correct |
9 |
Correct |
3 ms |
1492 KB |
Output is correct |
10 |
Correct |
3 ms |
1492 KB |
Output is correct |
11 |
Correct |
4 ms |
1492 KB |
Output is correct |
12 |
Correct |
3 ms |
1552 KB |
Output is correct |
13 |
Correct |
3 ms |
1492 KB |
Output is correct |
14 |
Correct |
4 ms |
1492 KB |
Output is correct |
15 |
Correct |
4 ms |
1492 KB |
Output is correct |
16 |
Correct |
3 ms |
1492 KB |
Output is correct |
17 |
Correct |
4 ms |
1492 KB |
Output is correct |
18 |
Correct |
6 ms |
1492 KB |
Output is correct |
19 |
Correct |
3 ms |
1492 KB |
Output is correct |
20 |
Correct |
5 ms |
1492 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
7 ms |
1492 KB |
Output is correct |
23 |
Correct |
132 ms |
13152 KB |
Output is correct |
24 |
Execution timed out |
4610 ms |
124728 KB |
Time limit exceeded |
25 |
Halted |
0 ms |
0 KB |
- |