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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 |
---|---|---|---|---|---|---|---|---|---|
#735882 | #9570. Binary Tree | J1angZ1 | RE | 1ms | 3512kb | C++20 | 5.2kb | 2024-11-11 22:17:49 | 2024-11-11 22:17:49 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 0
#endif
using i64 = long long;
struct Tree {
int n;
vector<vector<pair<int, int>>> e;
vector<int> dep, parent, maxdep, d1, d2, s1, s2, up;
Tree(int n) {
this->n = n;
e.resize(n + 1);
dep.resize(n + 1);
parent.resize(n + 1);
maxdep.resize(n + 1);
d1.resize(n + 1);
d2.resize(n + 1);
s1.resize(n + 1);
s2.resize(n + 1);
up.resize(n + 1);
}
void add(int u, int v, int w) {
e[u].push_back({w, v});
e[v].push_back({w, u});
}
int rem; // 删除重心后剩余连通块体积的最小值
int cog; // 重心
vector<bool> vis;
void getCog() {
vis.resize(n);
rem = INT_MAX;
cog = 1;
dfsCog(1);
}
int dfsCog(int u) {
vis[u] = true;
int s = 1, res = 0;
for (auto [w, v] : e[u]) {
if (vis[v]) continue;
int t = dfsCog(v);
res = max(res, t);
s += t;
}
res = max(res, n - s);
if (res < rem) {
rem = res;
cog = u;
}
return s;
}
};
#define int long long
void solve() {
int n;
cin >> n;
vector<multiset<int>> adj(n);
for (int i = 0; i < n; i++) {
int u, v;
cin >> u >> v;
u--, v--;
if (~u) {
adj[i].insert(u);
adj[u].insert(i);
}
if (~v) {
adj[i].insert(v);
adj[v].insert(i);
}
}
auto getCog = [&](int st) {
// cout << st << "\n";
// for (int i = 0; i < n; i++) {
// for (auto y : adj[i]) {
// cout << i + 1 << " " << y + 1 << "\n";
// }
// }
// cout << "\n";
int N = 0;
auto getSize = [&](auto self, int x, int p) -> void {
N++;
for (auto y : adj[x]) {
if (y != p) {
self(self, y, x);
}
}
};
getSize(getSize, st, -1);
vector<int> siz(n);
vector<int> weight(n);
array<int, 2> ans{-1, -1};
auto dfs = [&](auto self, int x, int p) -> void {
siz[x] = 1;
weight[x] = 0;
for (auto y : adj[x]) {
if (y == p) continue;
self(self, y, x);
siz[x] += siz[y];
weight[x] = max(weight[x], siz[y]);
}
weight[x] = max(weight[x], N - siz[x]);
if (weight[x] <= N / 2) {
ans[ans[0] != -1] = x;
}
};
dfs(dfs, st, -1);
return pair<int, vector<int>>{ans[0], siz};
};
auto query = [&](int x, int y) {
cout << "? " << x + 1 << " " << y + 1 << endl;
int t;
cin >> t;
return t;
};
auto print = [&](int x) {
cout << "! " << x + 1 << endl;
};
int now = 0;
while (1) {
if (adj[now].size() == 0) {
print(now);
return;
}
auto [s, siz] = getCog(now);
if (adj[s].size() == 2) {
int s1 = *adj[s].begin();
int s2 = *++adj[s].begin();
int t = query(s1, s2);
if (t == 1) {
print(s);
return;
} else if (t == 0) {
adj[s1].erase(s);
adj[s].erase(s1);
now = s1;
} else {
adj[s2].erase(s);
adj[s].erase(s2);
now = s2;
}
} else if (adj[s].size() == 3) {
array<int, 3> arr{*adj[s].begin(), *++adj[s].begin(), *--adj[s].end()};
sort(arr.begin(), arr.end(), [&](int u, int v) { return siz[u] < siz[v]; });
auto [s1, s2, s3] = arr;
debug(s1, s2, s3);
int t = query(s1, s2);
if (t == 1) {
adj[s].erase(s1);
adj[s].erase(s2);
adj[s1].erase(s);
adj[s2].erase(s);
now = s;
} else if (t == 0) {
adj[s].erase(s1);
adj[s1].erase(s);
now = s1;
} else if (t == 2) {
adj[s].erase(s2);
adj[s2].erase(s);
now = s2;
} else {
assert(0);
}
} else if (adj[s].size() == 1) {
int s1 = *adj[s].begin();
int t = query(s, s1);
if (t == 0) {
print(s);
} else if (t == 2) {
print(s1);
} else {
assert(1 != 1);
while (1) {
}
}
return;
} else {
assert(2 != 2);
}
}
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3512kb
input:
2 5 0 0 1 5 2 4 0 0 0 0 2 0 2 0 2 0 0 2
output:
? 5 3 ? 4 3 ! 4 ? 2 1 ! 1
result:
ok OK (2 test cases)
Test #2:
score: -100
Runtime Error
input:
5555 8 2 0 8 6 0 0 3 0 0 0 7 0 0 0 5 4 1 2 0 8 0 0 1 4 2 0 0 0 7 8 0 0 3 0 6 0 0 1 2 8 5 8 0 0 1 7 0 0 0 0 4 2 0 0 6 0 0 0 0 5 4 5 3 1 0 0 0 0 0 0 1 1 8 0 0 0 0 5 6 0 0 1 4 2 0 3 8 0 0 1 1 0 5 3 0 5 1 0 0 0 0 4 0 0 0 5 5 0 0 0 0 0 3 0 2 4 2 0 3 3 0 1 0 0 0 2 2 2 0 0 0 2 3 2 3 0 0 0 0 2 10 2 8 9 7 0 ...
output:
? 5 4 ? 1 6 ? 7 6 ! 7 ? 3 5 ? 1 4 ? 3 2 ! 2 ? 1 6 ? 1 7 ? 5 1 ! 5 ? 4 5 ? 1 3 ! 2 ? 6 7 ? 1 4 ? 3 5 ! 3 ? 1 5 ? 3 1 ! 3 ? 2 4 ? 3 4 ! 3 ? 2 3 ! 3 ? 2 1 ! 1 ? 2 3 ! 3 ? 5 6 ? 1 9 ? 10 9 ! 9 ? 2 1 ! 2 ? 5 9 ? 4 8 ? 5 3 ! 5 ? 5 8 ? 1 7 ? 9 7 ! 9 ? 4 3 ? 1 7 ? 2 8 ! 8 ? 2 1 ! 1 ? 6 3 ? 1 7 ? 5 4