QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#480756 | #5439. Meet in the Middle | duankaidi | WA | 3795ms | 88752kb | C++23 | 5.2kb | 2024-07-16 18:37:00 | 2024-07-16 18:37:00 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
const int N = 2E5 + 5, M = 5E5 + 5;
int n, q, m;
vector<array<int, 2>> vec[N], adj[N];
int head[N], nex[N << 1], to[N << 1], from[N << 1], dis[N << 1], tot = 1;
i64 Ans[M];
void ad(int x, int y, int z) {
to[++tot] = y; dis[tot] = z; from[tot] = x;
nex[tot] = head[x]; head[x] = tot;
}
void add(int x, int y, int z) {
ad(x, y, z); ad(y, x, z);
}
void rebuild(int x, int fa) {
int temp = 0, len = (int)adj[x].size(), last;
for (auto [v, w] : adj[x]) if (v != fa) {
++temp; if (temp == 1) {
add(x, v, w);
last = x;
} else if (temp == len - (x != 1)) {
add(last, v, w);
} else {
++m; add(last, m, 0);
last = m; add(m, v, w);
}
}
for (auto [v, w] : adj[x]) if (v != fa) rebuild(v, x);
}
i64 d1[N];
const int K = 20;
struct VirtualTree {
vector<array<int, 2>> adj[N];
void add(int x, int y, int z) {
adj[x].push_back({y, z});
adj[y].push_back({x, z});
}
int st[N][K], dfn[N], tot;
i64 dep[N];
int get(int x, int y) {return dfn[x] < dfn[y] ? x : y;}
void dfs(int x, int fa) {
st[dfn[x] = ++tot][0] = fa;
for (auto [v, w] : adj[x]) if (v != fa) {dep[v] = dep[x] + w; dfs(v, x);}
}
int getlca(int u, int v) {
if (u == v) return u;
if ((u = dfn[u]) > (v = dfn[v])) swap(u, v);
int d = __lg(v - u++);
return get(st[u][d], st[v - (1 << d) + 1][d]);
}
void init() {
dfs(1, 0);
for (int j = 1; j <= __lg(n * 2); ++j)
for (int i = 1; i + (1 << j) - 1 <= 2 * n; ++i)
st[i][j] = get(st[i][j - 1], st[i + (1 << j - 1)][j - 1]);
}
i64 dist(int x, int y) {
i64 val = 0;
if (x > n) val += d1[x - n];
if (y > n) val += d1[y - n];
return val + dep[x] + dep[y] - 2 * dep[getlca(x, y)];
}
vector<array<i64, 2>> e[N];
void conn(int x, int y, i64 w) {
// cerr << "connect: " << x << ' ' << y << ' ' << w << '\n';
e[x].push_back({y, w});
e[y].push_back({x, w});
}
vector<int> id;
void build(vector<int> &h) {
sort(h.begin(), h.end(), [&](int x, int y) {return dfn[x] < dfn[y];});
vector<int> a = h; int len = h.size();
for (int i = 0; i + 1 < len; ++i) a.push_back(getlca(h[i], h[i + 1]));
sort(a.begin(), a.end(), [&](int x, int y) {return dfn[x] < dfn[y];});
a.erase(unique(a.begin(), a.end()), a.end());
// cerr << "A: "; for (auto x : a) cerr << x << ' '; cerr << '\n';
len = a.size();
for (int i = 0; i + 1 < len; ++i) {
int lca = getlca(a[i], a[i + 1]);
conn(lca, a[i + 1], dist(lca, a[i + 1]));
} id = a;
}
bool vis[N]; i64 dis[2][N];
int dot1, dot2;
void getdiameter() {
int t = id[0];
auto bfs = [&](int st, i64 *dis) {
for (auto x : id) vis[x] = 0;
queue<int> q; q.push(st); dis[st] = 0; vis[st] = 1;
while (!q.empty()) {
int u = q.front(); q.pop();
for (auto [v, w] : e[u]) {
if (!vis[v]) {
dis[v] = dis[u] + w;
vis[v] = 1;
q.push(v);
}
}
}
} ;
bfs(t, dis[0]);
int s = t;
for (auto x : id) if (dis[0][x] > dis[0][s]) s = x;
bfs(t = s, dis[0]);
for (auto x : id) if (dis[1][x] > dis[1][t]) t = x;
bfs(t, dis[1]);
dot1 = s, dot2 = t;
// cerr << "Diameter: " << dot1 << ' ' << dot2 << '\n';
}
i64 query(int x) {
return max(dist(x, dot1), dist(x, dot2));
}
void clear() {
for (auto x : id) dis[0][x] = dis[1][x] = 0;
dot1 = dot2 = 0;
id.clear();
}
} f;
int dsum;
int rt, dmx, sz[N];
bool vis[N << 1];
void getroot(int x, int fa) {
sz[x] = 1;
for (int i = head[x]; i; i = nex[i]) {
int v = to[i];
if (v == fa || vis[i >> 1]) continue;
getroot(v, x); sz[x] += sz[v];
int temp = max(sz[v], dsum - sz[v]);
if (dmx > temp) {
dmx = temp;
rt = i;
}
}
}
vector<int> dots;
void dfs(int x, int fa) {
if (x <= n) dots.push_back(x + n);
for(int i = head[x]; i; i = nex[i]) {
int v = to[i];
if (v == fa || vis[i >> 1]) continue;
d1[v] = d1[x] + dis[i];
dfs(v, x);
}
}
void calc(int x, int fa, i64 dep) {
if (x <= n) for (auto [b, i] : vec[x]) {
// cerr << x << ' ' << fa << ' ' << dep << ' ' << b << ' ' << f.query(b) << " query\n";
Ans[i] = max(Ans[i], f.query(b) + dep);
}
for (int i = head[x]; i; i = nex[i]) {
int v = to[i];
if (vis[i >> 1] || v == fa) continue;
calc(v, x, dep + dis[i]);
}
}
void work(int u, int v, int w) {
// cerr << u << ' ' << v << ' ' << w << " !\n";
d1[u] = w; dfs(u, v); f.build(dots);
f.getdiameter(); calc(v, u, 0); dots.clear(); f.clear();
}
void solve(int x, int nsum) {
rt = 0; dmx = 1E9; dsum = nsum;
getroot(x, 0); if (!rt) return ;
vis[rt / 2] = 1;
int u = from[rt], v = to[rt], w = dis[rt];
work(u, v, w); work(v, u, w);
solve(u, nsum - sz[u]); solve(v, sz[v]);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> q;
for (int i = 1; i < n; ++i) {
int u, v, w; cin >> u >> v >> w;
adj[u].push_back({v, w}); adj[v].push_back({u, w});
}
for (int i = 1; i < n; ++i) {
int u, v, w; cin >> u >> v >> w;
f.add(u, v, w);
}
for (int i = 1; i <= n; ++i) f.add(i, i + n, 0);
f.init();
for (int i = 1; i <= q; ++i) {
int a, b; cin >> a >> b;
vec[a].push_back({b, i});
}
m = n;
rebuild(1, 0);
solve(1, n);
for (int i = 1; i <= q; ++i) cout << Ans[i] << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 24104kb
input:
3 4 1 2 1 2 3 2 1 2 2 2 3 1 1 1 1 2 2 1 2 2
output:
6 4 5 3
result:
ok 4 number(s): "6 4 5 3"
Test #2:
score: 0
Accepted
time: 0ms
memory: 24112kb
input:
2 1 1 2 1 1 2 1 1 1
output:
2
result:
ok 1 number(s): "2"
Test #3:
score: 0
Accepted
time: 0ms
memory: 26372kb
input:
2 1 1 2 1 1 2 1 1 2
output:
1
result:
ok 1 number(s): "1"
Test #4:
score: -100
Wrong Answer
time: 3795ms
memory: 88752kb
input:
10000 50000 8101 5996 108427744 5996 7605 870838849 5996 5599 603303696 8101 3006 339377417 8101 6463 442516687 6463 5560 109174079 5560 4063 127596224 3006 1682 947915262 5996 1986 130416311 6463 5455 279771516 6463 2634 516688796 4063 3034 217886863 7605 5092 742375061 5599 2266 193804402 5092 140...
output:
647838384844 360216645408 387098802897 637066393138 456072330399 645842915960 641537859258 400174767683 459407279331 573316121269 674370549986 434572336505 435282975629 620172136910 553499885160 526743824759 471341504556 689550247042 549161302822 498449365451 396706495314 393003299495 701575393972 6...
result:
wrong answer 2nd numbers differ - expected: '626539793176', found: '360216645408'