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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#451462 | #8716. 树 | propane# | WA | 2097ms | 5652kb | C++20 | 8.5kb | 2024-06-23 13:52:19 | 2024-06-23 13:52:20 |
Judging History
answer
#include<iostream>
#include<cstring>
#include<vector>
#include<array>
#include<algorithm>
using namespace std;
using LL = long long;
// 1_based HLD
// struct Edge{
// int to;
// int w;
// operator int() const { return to; }
// };
using Edge = int;
struct HLD{
int n;
vector<int> sz, top, dep, fa, in, out, seq;
vector<vector<Edge> > g;
int ts;
HLD(const vector<vector<Edge> > &g, int root = 1) : n(int(g.size()) - 1), g(g) {
ts = 0;
sz.resize(n + 1);
top.resize(n + 1);
dep.resize(n + 1);
fa.resize(n + 1);
in.resize(n + 1);
out.resize(n + 1);
seq.resize(n + 1);
dep[root] = 1;
top[root] = root;
dfs_sz(root);
dfs_hld(root);
}
void dfs_sz(int u){
if (fa[u]){
for(auto it = g[u].begin(); it != g[u].end(); it++){
if (*it == fa[u]){
g[u].erase(it);
break;
}
}
}
sz[u] = 1;
for(auto &j : g[u]){
fa[j] = u;
dep[j] = dep[u] + 1;
dfs_sz(j);
sz[u] += sz[j];
if (sz[j] > sz[g[u][0]])
swap(j, g[u][0]);
}
}
void dfs_hld(int u){
in[u] = ++ts;
seq[in[u]] = u;
for (auto j : g[u]){
top[j] = (j == g[u][0] ? top[u] : j);
dfs_hld(j);
}
out[u] = ts;
}
int lca(int u, int v){
while (top[u] != top[v]){
if (dep[top[u]] > dep[top[v]]){
u = fa[top[u]];
}
else{
v = fa[top[v]];
}
}
return dep[u] < dep[v] ? u : v;
}
int dist(int u, int v){
return dep[u] + dep[v] - 2 * dep[lca(u, v)];
}
bool in_subtree(int u, int v){
return in[v] <= in[u] && in[u] <= out[v];
}
int jump(int u, int k) {
if (dep[u] < k){
return -1;
}
int d = dep[u] - k;
while (dep[top[u]] > d){
u = fa[top[u]];
}
return seq[in[u] - dep[u] + d];
}
int rooted_lca(int a, int b, int c){
return lca(a, b) ^ lca(b, c) ^ lca(c, a);
}
template<typename Q>
void modify_path(int u, int v, const Q &q, bool edge = false){
while(top[u] != top[v]){
if (dep[top[u]] < dep[top[v]]) swap(u, v);
q(in[top[u]], in[u]);
u = fa[top[u]];
}
if (dep[u] > dep[v]) swap(u, v);
q(in[u] + edge, in[v]);
}
template<typename Q>
void modify_subtree(int u, const Q &q){
q(in[u], out[u]);
}
template<typename T, typename Q>
T query_path(int u, int v, const Q &q, bool edge = false){
T ret = T();
while(top[u] != top[v]){
if (dep[top[u]] < dep[top[v]]) swap(u, v);
ret = q(in[top[u]], in[u]) + ret;
u = fa[top[u]];
}
if (dep[u] > dep[v]) swap(u, v);
return q(in[u] + edge, in[v]) + ret;
}
template<typename T, typename Q>
T query_subtree(int u, const Q &q){
return q(in[u], out[u]);
}
template<typename T, typename Q, typename F>
T query_path_noncommutative(int u, int v, const Q &q, const F &f, bool edge = false){
T left = T(), right = T();
while(top[u] != top[v]){
if (dep[top[u]] < dep[top[v]]) swap(u, v), swap(left, right);
left = q(in[top[u]], in[u]) + left;
u = fa[top[u]];
}
if (dep[u] > dep[v]) swap(u, v), swap(left, right);
return f(left, q(in[u] + edge, in[v]) + right);
}
pair<vector<int>, vector<pair<int, int> > > compress(vector<int> v){
auto cmp = [&](int a, int b) { return in[a] < in[b]; };
sort(v.begin(), v.end(), cmp);
v.erase(unique(v.begin(), v.end()), v.end());
const int k = (int)v.size();
for(int i = 0; i + 1 < k; i++){
v.push_back(lca(v[i], v[i + 1]));
}
sort(v.begin(), v.end(), cmp);
v.erase(unique(v.begin(), v.end()), v.end());
vector<pair<int, int> > edges;
vector<int> stk;
for(auto x : v){
while(!stk.empty() && out[stk.back()] < in[x]){
stk.pop_back();
}
if (!stk.empty()){
edges.push_back({stk.back(), x});
}
stk.push_back(x);
}
return {v, edges};
}
};
const int maxn = 2e5 + 5;
array<int, 2> dp[maxn][3];
int main(){
#ifdef LOCAL
freopen("data.in", "r", stdin);
freopen("data.out", "w", stdout);
#endif
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
int n, m, q;
cin >> n >> m >> q;
vector<vector<int> > g(n + 1);
for(int i = 0; i < n - 1; i++){
int a, b;
cin >> a >> b;
g[a].push_back(b);
g[b].push_back(a);
}
HLD hld(g);
vector<int> b(m + 1);
for(int i = 1; i <= m; i++) cin >> b[i];
const int len = 450;
vector<int> id(m + 1), L, R;
const int INF = 1e9;
vector<int> ok(m + 1);
// 从x开始的三个是否可以
auto check = [&](int i){
int x = b[i], y = b[i + 1], z = b[i + 2];
if (hld.in_subtree(x, y)){
if (hld.in_subtree(y, z)) return true;
int anc = hld.lca(x, z);
return hld.dep[anc] <= hld.dep[y];
}
else if (hld.in_subtree(z, y)){
if (hld.in_subtree(y, x)) return true;
int anc = hld.lca(x, z);
return hld.dep[anc] <= hld.dep[y];
}
return false;
};
auto build = [&](int id){
int l = L[id], r = R[id];
{
int ans = 1, lastcnt = 1;
for(int i = l + 1; i <= r; i++){
if (lastcnt == 1){
lastcnt += 1;
ans += 1;
}
else{
if (ok[i - 2]){
lastcnt += 1;
}
else{
ans += 1;
lastcnt = 2;
}
}
}
dp[id][0] = {ans, lastcnt};
}
if (l - 1 >= 1){
int ans = 0, lastcnt = 1;
for(int i = l; i <= r; i++){
if (lastcnt == 1){
lastcnt += 1;
ans += 1;
}
else{
if (ok[i - 2]){
lastcnt += 1;
}
else{
ans += 1;
lastcnt = 2;
}
}
}
dp[id][1] = {ans, lastcnt};
}
else{
dp[id][1] = {INF, INF};
}
if (l - 2 >= 1){
int ans = 0, lastcnt = 2;
for(int i = l; i <= r; i++){
if (lastcnt == 1){
lastcnt += 1;
ans += 1;
}
else{
if (ok[i - 2]){
lastcnt += 1;
}
else{
ans += 1;
lastcnt = 2;
}
}
}
dp[id][2] = {ans, lastcnt};
}
else{
dp[id][2] = {INF, INF};
}
};
for(int i = 1; i + 2 <= m; i++){
ok[i] = check(i);
}
for(int i = 1, k = 0; i <= m; i += len, k += 1){
int l = i, r = min(m, i + len - 1);
for(int j = l; j <= r; j++){
id[j] = k;
}
L.push_back(l);
R.push_back(r);
build(k);
}
auto get = [&](){
auto [ans, lastcnt] = dp[0][0];
for(int i = 1; i < L.size(); i++){
ans += dp[i][lastcnt][0];
lastcnt = dp[i][lastcnt][1];
}
return ans;
};
for(int i = 0; i < q; i++){
int x, y;
cin >> x >> y;
b[x] = y;
for(int j = x - 2; j <= x; j++){
if (j >= 1 and j + 2 <= m){
ok[j] = check(j);
}
}
build(id[x]);
if (id[x] + 1 < L.size()) build(id[x] + 1);
cout << get() << '\n';
}
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3780kb
input:
5 5 3 2 1 3 2 1 4 5 1 1 5 4 2 3 1 3 5 3 3 3
output:
4 4 5
result:
ok 3 number(s): "4 4 5"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
30 200 200 10 24 10 13 10 26 13 29 27 26 17 24 27 21 17 15 13 5 13 30 27 3 18 21 9 21 2 24 10 4 11 5 2 8 10 23 1 18 21 25 4 20 12 23 22 27 28 27 18 7 13 6 14 30 10 19 16 21 14 29 25 30 1 17 22 21 11 19 21 30 13 1 22 10 14 7 29 7 15 21 25 29 25 7 29 7 1 23 3 17 2 7 4 27 18 26 3 6 5 3 16 26 20 19 16 2...
output:
174 175 175 175 175 175 175 175 175 175 176 176 176 176 176 176 175 175 175 175 174 173 173 173 173 173 173 174 174 174 174 173 173 174 174 174 174 174 174 174 174 174 173 173 173 174 173 173 174 173 174 174 174 174 174 174 174 174 174 174 174 175 174 174 174 174 174 175 175 177 177 177 177 177 176 ...
result:
ok 200 numbers
Test #3:
score: -100
Wrong Answer
time: 2097ms
memory: 5652kb
input:
1000 200000 200000 142 266 266 877 877 673 673 473 923 473 923 55 55 288 679 288 85 679 85 460 296 460 793 296 262 793 40 262 40 680 647 680 999 647 56 999 550 56 550 774 774 939 939 423 423 168 168 554 554 93 329 93 329 474 221 474 890 221 890 304 752 304 345 752 345 269 290 269 290 781 781 264 859...
output:
133561 133561 133561 133561 133561 133561 133561 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133563 133563 133563 133563 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133565 133563 133563 133563 133563 133563...
result:
wrong answer 1st numbers differ - expected: '133598', found: '133561'