QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#729911 | #9570. Binary Tree | ucup-team987# | RE | 1ms | 3624kb | C++23 | 13.5kb | 2024-11-09 18:00:26 | 2024-11-09 18:00:26 |
Judging History
answer
/**
* date : 2024-11-09 19:00:13
* author : Nyaan
*/
#define NDEBUG
using namespace std;
// intrinstic
#include <immintrin.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <cfenv>
#include <cfloat>
#include <chrono>
#include <cinttypes>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdarg>
#include <cstddef>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <deque>
#include <fstream>
#include <functional>
#include <initializer_list>
#include <iomanip>
#include <ios>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <streambuf>
#include <string>
#include <tr2/dynamic_bitset>
#include <tuple>
#include <type_traits>
#include <typeinfo>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;
template <typename T, typename U>
struct P : pair<T, U> {
template <typename... Args>
constexpr P(Args... args) : pair<T, U>(args...) {}
using pair<T, U>::first;
using pair<T, U>::second;
P &operator+=(const P &r) {
first += r.first;
second += r.second;
return *this;
}
P &operator-=(const P &r) {
first -= r.first;
second -= r.second;
return *this;
}
P &operator*=(const P &r) {
first *= r.first;
second *= r.second;
return *this;
}
template <typename S>
P &operator*=(const S &r) {
first *= r, second *= r;
return *this;
}
P operator+(const P &r) const { return P(*this) += r; }
P operator-(const P &r) const { return P(*this) -= r; }
P operator*(const P &r) const { return P(*this) *= r; }
template <typename S>
P operator*(const S &r) const {
return P(*this) *= r;
}
P operator-() const { return P{-first, -second}; }
};
using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;
constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;
template <typename T>
int sz(const T &t) {
return t.size();
}
template <typename T, typename U>
inline bool amin(T &x, U y) {
return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
return (x < y) ? (x = y, true) : false;
}
template <typename T>
inline T Max(const vector<T> &v) {
return *max_element(begin(v), end(v));
}
template <typename T>
inline T Min(const vector<T> &v) {
return *min_element(begin(v), end(v));
}
template <typename T>
inline long long Sum(const vector<T> &v) {
return accumulate(begin(v), end(v), 0LL);
}
template <typename T>
int lb(const vector<T> &v, const T &a) {
return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
return upper_bound(begin(v), end(v), a) - begin(v);
}
constexpr long long TEN(int n) {
long long ret = 1, x = 10;
for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
return ret;
}
template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
return make_pair(t, u);
}
template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
vector<T> ret(v.size() + 1);
if (rev) {
for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
} else {
for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
}
return ret;
};
template <typename T>
vector<T> mkuni(const vector<T> &v) {
vector<T> ret(v);
sort(ret.begin(), ret.end());
ret.erase(unique(ret.begin(), ret.end()), ret.end());
return ret;
}
template <typename F>
vector<int> mkord(int N, F f) {
vector<int> ord(N);
iota(begin(ord), end(ord), 0);
sort(begin(ord), end(ord), f);
return ord;
}
template <typename T>
vector<int> mkinv(vector<T> &v) {
int max_val = *max_element(begin(v), end(v));
vector<int> inv(max_val + 1, -1);
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
vector<int> mkiota(int n) {
vector<int> ret(n);
iota(begin(ret), end(ret), 0);
return ret;
}
template <typename T>
T mkrev(const T &v) {
T w{v};
reverse(begin(w), end(w));
return w;
}
template <typename T>
bool nxp(T &v) {
return next_permutation(begin(v), end(v));
}
// 返り値の型は入力の T に依存
// i 要素目 : [0, a[i])
template <typename T>
vector<vector<T>> product(const vector<T> &a) {
vector<vector<T>> ret;
vector<T> v;
auto dfs = [&](auto rc, int i) -> void {
if (i == (int)a.size()) {
ret.push_back(v);
return;
}
for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back();
};
dfs(dfs, 0);
return ret;
}
// F : function(void(T&)), mod を取る操作
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I, const function<void(T &)> &f) {
T res = I;
for (; n; f(a = a * a), n >>= 1) {
if (n & 1) f(res = res * a);
}
return res;
}
// T : 整数型のときはオーバーフローに注意する
template <typename T>
T Power(T a, long long n, const T &I = T{1}) {
return Power(a, n, I, function<void(T &)>{[](T &) -> void {}});
}
template <typename T>
T Rev(const T &v) {
T res = v;
reverse(begin(res), end(res));
return res;
}
template <typename T>
vector<T> Transpose(const vector<T> &v) {
using U = typename T::value_type;
if(v.empty()) return {};
int H = v.size(), W = v[0].size();
vector res(W, T(H, U{}));
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
res[j][i] = v[i][j];
}
}
return res;
}
template <typename T>
vector<T> Rotate(const vector<T> &v, int clockwise = true) {
using U = typename T::value_type;
int H = v.size(), W = v[0].size();
vector res(W, T(H, U{}));
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
if (clockwise) {
res[W - 1 - j][i] = v[i][j];
} else {
res[j][H - 1 - i] = v[i][j];
}
}
}
return res;
}
} // namespace Nyaan
// bit operation
namespace Nyaan {
__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
return __builtin_popcountll(a);
}
inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }
inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }
template <typename T>
inline int gbit(const T &a, int i) {
return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
if (gbit(a, i) != b) a ^= T(1) << i;
}
constexpr long long PW(int n) { return 1LL << n; }
constexpr long long MSK(int n) { return (1LL << n) - 1; }
} // namespace Nyaan
// inout
namespace Nyaan {
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
int s = (int)v.size();
for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (auto &x : v) is >> x;
return is;
}
istream &operator>>(istream &is, __int128_t &x) {
string S;
is >> S;
x = 0;
int flag = 0;
for (auto &c : S) {
if (c == '-') {
flag = true;
continue;
}
x *= 10;
x += c - '0';
}
if (flag) x = -x;
return is;
}
istream &operator>>(istream &is, __uint128_t &x) {
string S;
is >> S;
x = 0;
for (auto &c : S) {
x *= 10;
x += c - '0';
}
return is;
}
ostream &operator<<(ostream &os, __int128_t x) {
if (x == 0) return os << 0;
if (x < 0) os << '-', x = -x;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
ostream &operator<<(ostream &os, __uint128_t x) {
if (x == 0) return os << 0;
string S;
while (x) S.push_back('0' + x % 10), x /= 10;
reverse(begin(S), end(S));
return os << S;
}
void in() {}
template <typename T, class... U>
void in(T &t, U &...u) {
cin >> t;
in(u...);
}
void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &...u) {
cout << t;
if (sizeof...(u)) cout << sep;
out(u...);
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
} // namespace Nyaan
// debug
#ifdef NyaanDebug
#define trc(...) (void(0))
#endif
#ifndef NyaanDebug
#define trc(...) (void(0))
#endif
#ifndef NyaanLocal
#define trc2(...) (void(0))
#endif
// macro
#define each(x, v) for (auto&& x : v)
#define each2(x, y, v) for (auto&& [x, y] : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define fi first
#define se second
#define ini(...) \
int __VA_ARGS__; \
in(__VA_ARGS__)
#define inl(...) \
long long __VA_ARGS__; \
in(__VA_ARGS__)
#define ins(...) \
string __VA_ARGS__; \
in(__VA_ARGS__)
#define in2(s, t) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i]); \
}
#define in3(s, t, u) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i]); \
}
#define in4(s, t, u, v) \
for (int i = 0; i < (int)s.size(); i++) { \
in(s[i], t[i], u[i], v[i]); \
}
#define die(...) \
do { \
Nyaan::out(__VA_ARGS__); \
return; \
} while (0)
namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
//
using namespace Nyaan;
int send(int u, int v) {
out("?", u + 1, v + 1);
cout.flush();
ini(x);
return x;
}
void q() {
ini(N);
vvi g(N);
rep(i, N) {
ini(l, r);
--l, --r;
if (l != -1) g[i].push_back(l), g[l].push_back(i);
if (r != -1) g[i].push_back(r), g[r].push_back(i);
}
vi banned(N);
int root = 0;
while (1) {
vi sub(N);
{
auto dfs = [&](auto rc, int c, int p) -> int {
sub[c] = 1;
each(d, g[c]) {
if (d == p or banned[d]) continue;
sub[c] += rc(rc, d, c);
}
return sub[c];
};
dfs(dfs, root, -1);
}
int S = sub[root];
if (S == 1) {
out("!", root + 1);
cout.flush();
break;
}
int nroot = root;
{
int c = root, p = -1;
while (true) {
int nxc = -1, s = 0;
each(d, g[c]) {
if (d == p or banned[d]) continue;
if (amax(s, sub[d])) nxc = d;
}
if (s <= S / 2) break;
p = c, c = nxc;
}
nroot = c;
}
vi adj;
each(d, g[nroot]) {
if (banned[d]) continue;
adj.push_back(d);
}
if (sz(adj) == 1) {
assert(S == 2);
int u = adj[0];
int v = nroot;
int x = send(u, v);
if (x == 0) {
root = u;
banned[v] = 1;
} else {
root = v;
banned[u] = 1;
}
continue;
}
int u = adj[0];
int v = adj[1];
int x = send(u, v);
if (x == 0) {
root = u;
banned[nroot] = 1;
} else if (x == 1) {
root = nroot;
banned[u] = banned[v] = 1;
} else {
root = v;
banned[nroot] = 1;
}
}
}
void Nyaan::solve() {
int t = 1;
in(t);
while (t--) q();
}
/*
// 4 以上 2 べき
pair<vi, vi> beki(int N) {
if (N == 4) {
vi p{0, 3, 1, 2};
vi q{0, 1, 2, 3};
return mkp(p, q);
}
auto [p, q] = beki(N / 2);
rep(i, N / 2) {
p.push_back(p[i] + N / 2);
q.push_back(q[i] + N / 2);
}
reg(i, N / 4, N / 2) swap(q[i], q[N - 1 - i]);
return {p, q};
}
pair<vi, vi> f(int N) {
if (N % 4 != 0) return {};
if ((N & (N - 1)) == 0) return beki(N);
int t = ctz(N);
auto [p, q] = f(N - (1 << t));
auto [r, s] = f(1 << t);
each(x, r) x ^= N - (1 << t);
each(x, s) x ^= N - (1 << t);
int u = ctz(N - (1 << t));
int rest = N - PW(t) - PW(u);
reg(i, PW(t - 1), PW(t)) swap(q[rest + i - PW(t - 1)], s[i]);
each(x, r) p.push_back(x);
each(x, s) q.push_back(x);
return {p, q};
}
bool check(vi p, vi q) {
int N = sz(p);
vi r(N);
rep(i, N) r[i] = p[i] ^ q[i];
trc(r);
sort(all(r));
rep(i, N) if (r[i] != i) return false;
return true;
}
void test() {
rep1(nd4, 100) {
int N = nd4 * 4;
if ((N & (N - 1)) == 0) {
auto [p, q] = beki(N);
trc(p);
trc(q);
assert(check(p, q));
}
{
auto [p, q] = f(N);
trc(p);
trc(q);
assert(check(p, q));
}
}
}
void q() { test(); }
void Nyaan::solve() {
int t = 1;
// in(t);
while (t--) q();
}
*/
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3624kb
input:
2 5 0 0 1 5 2 4 0 0 0 0 1 1 2 0 2 0 0 2
output:
? 1 5 ? 2 4 ! 3 ? 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 2 2 0 8 0 0 1 4 2 0 0 0 7 8 0 0 3 0 6 0 2 2 0 8 5 8 0 0 1 7 0 0 0 0 4 2 0 0 6 0 2 1 2 5 4 5 3 1 0 0 0 0 0 0 1 0 8 0 0 0 0 5 6 0 0 1 4 2 0 3 8 0 0 0 2 5 3 0 5 1 0 0 0 0 4 0 0 0 5 5 0 0 0 0 0 3 0 2 4 1 2 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 0 ...
output:
? 1 8 ? 5 4 ? 3 4 ! 3 ? 2 7 ? 7 8 ? 6 8 ! 6 ? 5 8 ? 4 2 ? 8 6 ! 6 ? 4 5 ? 3 1 ! 3 ? 5 6 ? 1 4 ! 4 ? 5 1 ? 4 5 ! 4 ? 1 2 ? 3 5 ! 5 ? 3 2 ! 2 ? 2 1 ! 1 ? 2 3 ! 3 ? 1 9 ? 2 6 ? 4 3 ! 4 ? 2 1 ! 2 ? 5 9 ? 2 1 ? 6 2 ! 6 ? 3 10 ? 6 2 ? 4 10 ! 10 ? 3 4 ? 1 7 ? 8 2 ! 2 ? 2 1 ! 1 ? 4 3 ? 1 7 ! 7 ? 4 9 ? 8 4 ?...