結果
| 問題 |
No.1153 ねこちゃんゲーム
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2020-08-07 23:17:33 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 744 ms / 2,500 ms |
| コード長 | 20,692 bytes |
| コンパイル時間 | 4,635 ms |
| コンパイル使用メモリ | 322,936 KB |
| 最終ジャッジ日時 | 2025-01-12 18:20:53 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 40 |
ソースコード
#pragma region kyopro_template
#define Nyaan_template
#include <immintrin.h>
#include <bits/stdc++.h>
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define each(x, v) for (auto &x : v)
#define all(v) (v).begin(), (v).end()
#define sz(v) ((int)(v).size())
#define mem(a, val) memset(a, val, sizeof(a))
#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 inc(...) \
char __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 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 die(...) \
do { \
out(__VA_ARGS__); \
return; \
} while (0)
using namespace std;
using ll = long long;
template <class T>
using V = vector<T>;
using vi = vector<int>;
using vl = vector<long long>;
using vvi = vector<vector<int>>;
using vd = V<double>;
using vs = V<string>;
using vvl = vector<vector<long long>>;
using P = pair<long long, long long>;
using vp = vector<P>;
using pii = pair<int, int>;
using vpi = vector<pair<int, int>>;
constexpr int inf = 1001001001;
constexpr long long infLL = (1LL << 61) - 1;
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, 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;
}
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>
void out(const T &t, const U &... u) {
cout << t;
if (sizeof...(u)) cout << " ";
out(u...);
}
#ifdef NyaanDebug
#define trc(...) \
do { \
cerr << #__VA_ARGS__ << " = "; \
dbg_out(__VA_ARGS__); \
} while (0)
#define trca(v, N) \
do { \
cerr << #v << " = "; \
array_out(v, N); \
} while (0)
#define trcc(v) \
do { \
cerr << #v << " = {"; \
each(x, v) { cerr << " " << x << ","; } \
cerr << "}" << endl; \
} while (0)
template <typename T>
void _cout(const T &c) {
cerr << c;
}
void _cout(const int &c) {
if (c == 1001001001)
cerr << "inf";
else if (c == -1001001001)
cerr << "-inf";
else
cerr << c;
}
void _cout(const unsigned int &c) {
if (c == 1001001001)
cerr << "inf";
else
cerr << c;
}
void _cout(const long long &c) {
if (c == 1001001001 || c == (1LL << 61) - 1)
cerr << "inf";
else if (c == -1001001001 || c == -((1LL << 61) - 1))
cerr << "-inf";
else
cerr << c;
}
void _cout(const unsigned long long &c) {
if (c == 1001001001 || c == (1LL << 61) - 1)
cerr << "inf";
else
cerr << c;
}
template <typename T, typename U>
void _cout(const pair<T, U> &p) {
cerr << "{ ";
_cout(p.fi);
cerr << ", ";
_cout(p.se);
cerr << " } ";
}
template <typename T>
void _cout(const vector<T> &v) {
int s = v.size();
cerr << "{ ";
for (int i = 0; i < s; i++) {
cerr << (i ? ", " : "");
_cout(v[i]);
}
cerr << " } ";
}
template <typename T>
void _cout(const vector<vector<T>> &v) {
cerr << "[ ";
for (const auto &x : v) {
cerr << endl;
_cout(x);
cerr << ", ";
}
cerr << endl << " ] ";
}
void dbg_out() { cerr << endl; }
template <typename T, class... U>
void dbg_out(const T &t, const U &... u) {
_cout(t);
if (sizeof...(u)) cerr << ", ";
dbg_out(u...);
}
template <typename T>
void array_out(const T &v, int s) {
cerr << "{ ";
for (int i = 0; i < s; i++) {
cerr << (i ? ", " : "");
_cout(v[i]);
}
cerr << " } " << endl;
}
template <typename T>
void array_out(const T &v, int H, int W) {
cerr << "[ ";
for (int i = 0; i < H; i++) {
cerr << (i ? ", " : "");
array_out(v[i], W);
}
cerr << " ] " << endl;
}
#else
#define trc(...)
#define trca(...)
#define trcc(...)
#endif
inline int popcnt(unsigned long long a) { return __builtin_popcountll(a); }
inline int lsb(unsigned long long a) { return __builtin_ctzll(a); }
inline int msb(unsigned long long a) { return 63 - __builtin_clzll(a); }
template <typename T>
inline int getbit(T a, int i) {
return (a >> i) & 1;
}
template <typename T>
inline void setbit(T &a, int i) {
a |= (1LL << i);
}
template <typename T>
inline void delbit(T &a, int i) {
a &= ~(1LL << i);
}
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);
}
template <typename T>
int btw(T a, T x, T b) {
return a <= x && x < b;
}
template <typename T, typename U>
T ceil(T a, U b) {
return (a + b - 1) / b;
}
constexpr long long TEN(int n) {
long long ret = 1, x = 10;
while (n) {
if (n & 1) ret *= x;
x *= x;
n >>= 1;
}
return ret;
}
template <typename T>
vector<T> mkrui(const vector<T> &v) {
vector<T> ret(v.size() + 1);
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 = int>
vector<T> mkiota(int N) {
vector<T> ret(N);
iota(begin(ret), end(ret), 0);
return ret;
}
template <typename T>
vector<int> mkinv(vector<T> &v) {
vector<int> inv(v.size());
for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
return inv;
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
void solve();
int main() { solve(); }
#pragma endregion
using namespace std;
template <typename T, int MAX_LOG, int NODES = 16777216>
struct BinaryTrie {
using Container = int;
struct Node {
Node *nxt[2];
int exist;
Node() {}
};
Node *pool;
int pid;
T lazy;
Node *nil;
Node *root;
BinaryTrie() : pid(0), lazy(T(0)), nil(nullptr) {
pool = new Node[NODES];
nil = my_new();
nil->nxt[0] = nil->nxt[1] = root = nil;
}
Node *my_new(int exist_ = 0, int id = -1) {
pool[pid].nxt[0] = pool[pid].nxt[1] = nil;
pool[pid].exist = exist_;
return &(pool[pid++]);
}
Node *merge(Node *l, Node *r) {
pool[pid].nxt[0] = l;
pool[pid].nxt[1] = r;
pool[pid].exist = l->exist + r->exist;
return &(pool[pid++]);
}
Node *add_(const T &x, int id, Node *n, int bit_idx = MAX_LOG) {
if (bit_idx == -1) {
if (n == nil) return my_new(1, id);
n->exist++;
return n;
} else {
if (((lazy >> bit_idx) & 1) == ((x >> bit_idx) & 1))
return merge(add_(x, id, n->nxt[0], bit_idx - 1), n->nxt[1]);
else
return merge(n->nxt[0], add_(x, id, n->nxt[1], bit_idx - 1));
}
}
public:
void add(const T &x, int id = -1) { root = add_(x, id, root, MAX_LOG); }
Node *del_(const T &x, int id, Node *n, int bit_idx = MAX_LOG) {
if (bit_idx == -1) {
n->exist--;
return n;
} else {
if (((lazy >> bit_idx) & 1) == ((x >> bit_idx) & 1))
return merge(del_(x, id, n->nxt[0], bit_idx - 1), n->nxt[1]);
else
return merge(n->nxt[0], del_(x, id, n->nxt[1], bit_idx - 1));
}
}
public:
void del(const T &x, int id = -1) { root = del_(x, id, root, MAX_LOG); }
pair<int, const Container &> find_(const T &x, Node *n, int bit_idx = MAX_LOG) {
if (bit_idx == -1)
return pair<int, const Container &>(n->exist, 0);
else {
if (((lazy >> bit_idx) & 1) == ((x >> bit_idx) & 1))
return find_(x, n->nxt[0], bit_idx - 1);
else
return find_(x, n->nxt[1], bit_idx - 1);
}
}
public:
pair<int, const Container &> find(const T &x) { return find_(x, root, MAX_LOG); }
private:
pair<T, const Container &> max_element_(Node *n, int bit_idx = MAX_LOG) {
if (bit_idx == -1) return pair<T, const Container &>(0,0);
if (n->nxt[~(lazy >> bit_idx) & 1]->exist) {
auto ret = max_element_(n->nxt[~(lazy >> bit_idx) & 1], bit_idx - 1);
ret.first |= T(1) << bit_idx;
return ret;
} else {
return max_element_(n->nxt[(lazy >> bit_idx) & 1], bit_idx - 1);
}
}
public:
pair<T, const Container &> max_element() { return max_element_(root, MAX_LOG); }
private:
pair<T, const Container &> min_element_(Node *n, int bit_idx = MAX_LOG) {
if (bit_idx == -1) return pair<T, const Container &>(0, 0);
if (n->nxt[(lazy >> bit_idx) & 1]->exist) {
return min_element_(n->nxt[(lazy >> bit_idx) & 1], bit_idx - 1);
} else {
auto ret = min_element_(n->nxt[~(lazy >> bit_idx) & 1], bit_idx - 1);
ret.first |= T(1) << bit_idx;
return ret;
}
}
public:
pair<T, const Container &> min_element() { return min_element_(root, MAX_LOG); }
private:
pair<T, const Container &> get_kth_(Node *n, int64_t k, int bit_idx = MAX_LOG) {
if (bit_idx == -1) return pair<T, const Container &>(0, 0);
int ex0 = n->nxt[(lazy >> bit_idx) & 1]->exist;
if (ex0 < k) {
auto ret = get_kth_(n->nxt[~(lazy >> bit_idx) & 1], k - ex0, bit_idx - 1);
ret.first |= T(1) << bit_idx;
return ret;
} else {
return get_kth_(n->nxt[(lazy >> bit_idx) & 1], k, bit_idx - 1);
}
}
public:
T mex_query_(Node *n, int bit_index = MAX_LOG) { // distinct-values
assert(lazy == 0);
if (bit_index == -1 || n->nxt[0] == nil) return 0;
if (n->nxt[0]->exist == (T(1) << bit_index)) {
T ret = T(1) << bit_index;
if (n->nxt[1]) ret |= mex_query_(n->nxt[1], bit_index - 1);
return ret;
} else {
return mex_query_(n->nxt[0], bit_index - 1);
}
}
public:
pair<T, const Container &> get_kth(int64_t k) { return get_kth_(root, k, MAX_LOG); }
void operate_xor(T x) { lazy ^= x; }
};
/**
* @brief Binary Trie
* @docs docs/binary-trie.md
*/
using namespace std;
template <typename T>
struct edge {
int src, to;
T cost;
edge(int to, T cost) : src(-1), to(to), cost(cost) {}
edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}
edge &operator=(const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T>>;
template <typename T>
using WeightedGraph = vector<Edges<T>>;
using UnweightedGraph = vector<vector<int>>;
// Input of (Unweighted) Graph
UnweightedGraph graph(int N, int M = -1, bool is_directed = false,
bool is_1origin = true) {
UnweightedGraph g(N);
if (M == -1) M = N - 1;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
if (is_1origin) x--, y--;
g[x].push_back(y);
if (!is_directed) g[y].push_back(x);
}
return g;
}
// Input of Weighted Graph
template <typename T>
WeightedGraph<T> wgraph(int N, int M = -1, bool is_directed = false,
bool is_1origin = true) {
WeightedGraph<T> g(N);
if (M == -1) M = N - 1;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
cin >> c;
if (is_1origin) x--, y--;
g[x].eb(x, y, c);
if (!is_directed) g[y].eb(y, x, c);
}
return g;
}
// Input of Edges
template <typename T>
Edges<T> esgraph(int N, int M, int is_weighted = true, bool is_1origin = true) {
Edges<T> es;
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
if (is_weighted)
cin >> c;
else
c = 1;
if (is_1origin) x--, y--;
es.emplace_back(x, y, c);
}
return es;
}
// Input of Adjacency Matrix
template <typename T>
vector<vector<T>> adjgraph(int N, int M, T INF, int is_weighted = true,
bool is_directed = false, bool is_1origin = true) {
vector<vector<T>> d(N, vector<T>(N, INF));
for (int _ = 0; _ < M; _++) {
int x, y;
cin >> x >> y;
T c;
if (is_weighted)
cin >> c;
else
c = 1;
if (is_1origin) x--, y--;
d[x][y] = c;
if (!is_directed) d[y][x] = c;
}
return d;
}
using namespace std;
// Depth of Rooted Tree
// unvisited nodes : d = -1
vector<int> Depth(const UnweightedGraph &g, int start = 0) {
vector<int> d(g.size(), -1);
auto dfs = [&](auto rec, int cur, int par = -1) -> void {
d[cur] = par == -1 ? 0 : d[par] + 1;
for (auto &dst : g[cur]) {
if (dst == par) continue;
rec(rec, dst, cur);
}
};
dfs(dfs, start);
return d;
}
// Depth of Rooted Weighted Tree
// unvisited nodes : d = -1
template <typename T>
vector<T> Depth(const WeightedGraph<T> &g, int start = 0) {
vector<T> d(g.size(), -1);
auto dfs = [&](auto rec, int cur, T val, int par = -1) -> void {
d[cur] = val;
for (auto &dst : g[cur]) {
if (dst == par) continue;
rec(rec, dst, val + dst.cost, cur);
}
};
dfs(dfs, start, 0);
return d;
}
// Diameter of Tree
// return value : { {u, v}, length }
pair<pair<int, int>, int> Diameter(const UnweightedGraph &g) {
auto d = Depth(g, 0);
int u = max_element(begin(d), end(d)) - begin(d);
d = Depth(g, u);
int v = max_element(begin(d), end(d)) - begin(d);
return make_pair(make_pair(u, v), d[v]);
}
// Diameter of Weighted Tree
// return value : { {u, v}, length }
template <typename T>
pair<pair<int, int>, T> Diameter(const WeightedGraph<T> &g) {
auto d = Depth(g, 0);
int u = max_element(begin(d), end(d)) - begin(d);
d = Depth(g, u);
int v = max_element(begin(d), end(d)) - begin(d);
return make_pair(make_pair(u, v), d[v]);
}
// nodes on the path u-v ( O(N) )
template <typename G>
vector<int> Path(G &g, int u, int v) {
vi ret;
int end = 0;
auto dfs = [&](auto rec, int cur, int par = -1) -> void {
ret.push_back(cur);
if (cur == v) {
end = 1;
return;
}
for (int dst : g[cur]) {
if (dst == par) continue;
rec(rec, dst, cur);
if (end) return;
}
if (end) return;
ret.pop_back();
};
dfs(dfs, u);
return ret;
}
using namespace std;
template <typename G>
struct HeavyLightDecomposition {
G& g;
int idx;
vector<int> size, depth, in, out, nxt, par;
HeavyLightDecomposition(G& g, int root = 0)
: g(g),
idx(0),
size(g.size(), 0),
depth(g.size(), 0),
in(g.size(), -1),
out(g.size(), -1),
nxt(g.size(), root),
par(g.size(), root) {
dfs_sz(root);
dfs_hld(root);
}
void build(int root) {
dfs_sz(root);
dfs_hld(root);
}
void dfs_sz(int cur) {
size[cur] = 1;
for (auto& dst : g[cur]) {
if (dst == par[cur]) {
if (g[cur].size() >= 2 && int(dst) == int(g[cur][0]))
swap(g[cur][0], g[cur][1]);
else
continue;
}
depth[dst] = depth[cur] + 1;
par[dst] = cur;
dfs_sz(dst);
size[cur] += size[dst];
if (size[dst] > size[g[cur][0]]) {
swap(dst, g[cur][0]);
}
}
}
void dfs_hld(int cur) {
in[cur] = idx++;
for (auto dst : g[cur]) {
if (dst == par[cur]) continue;
nxt[dst] = (int(dst) == int(g[cur][0]) ? nxt[cur] : int(dst));
dfs_hld(dst);
}
out[cur] = idx;
}
template <typename F>
void edge_query(int u, int v, const F& f) {
while (1) {
if (in[u] > in[v]) swap(u, v);
if (nxt[u] != nxt[v]) {
f(in[nxt[v]], in[v] + 1);
v = par[nxt[v]];
} else {
if (u != v) f(in[u] + 1, in[v] + 1);
break;
}
}
}
// TODO : verify
template <typename F>
void uncommutable_edge_query(int u, int v, const F& f) {
while (1) {
if (nxt[u] != nxt[v]) {
if (in[u] > in[v]) {
f(in[u] + 1, in[nxt[u]], true);
u = par[nxt[u]];
} else {
f(in[nxt[v]], in[v] + 1, false);
v = par[nxt[v]];
}
} else {
if (in[u] != in[v]) {
if (in[u] > in[v])
f(in[u] + 1, in[v] + 1, true);
else
f(in[u] + 1, in[v] + 1, true);
}
break;
}
}
}
template <typename F>
void node_query(int u, int v, const F& f) {
while (1) {
if (in[u] > in[v]) swap(u, v);
if (nxt[u] != nxt[v]) {
f(in[nxt[v]], in[v] + 1);
v = par[nxt[v]];
} else {
f(in[u], in[v] + 1);
break;
}
}
}
template <typename F>
void uncommutable_node_query(int u, int v, const F& f) {
while (1) {
if (nxt[u] != nxt[v]) {
if (in[u] > in[v]) {
f(in[u] + 1, in[nxt[u]], true);
u = par[nxt[u]];
} else {
f(in[nxt[v]], in[v] + 1, false);
v = par[nxt[v]];
}
} else {
if (in[u] > in[v])
f(in[u] + 1, in[v], true);
else
f(in[u], in[v] + 1, true);
break;
}
}
}
template <typename F>
void sub_edge_query(int u, const F& f) {
f(in[u] + 1, out[u]);
}
template <typename F>
void sub_node_query(int u, const F& f) {
f(in[u], out[u]);
}
int lca(int a, int b) {
while (nxt[a] != nxt[b]) {
if (in[a] < in[b]) swap(a, b);
a = par[nxt[a]];
}
return depth[a] < depth[b] ? a : b;
}
};
void solve() {
ini(N, M);
vl a(M);
in(a);
each(x, a) x--;
auto g = graph(N);
auto dep = Depth(g);
// HeavyLightDecomposition<vvi> hld(g);
BinaryTrie<int, 7, 16777216> trie;
vi sub(N);
{
auto dfs = [&](auto rec, int cur, int par = -1) -> int {
auto root = trie.nil;
each(dst, g[cur]) {
if (dst == par) continue;
int val = rec(rec, dst, cur);
if (trie.find_(val, root).first == 0) root = trie.add_(val, -1, root);
}
sub[cur] = trie.mex_query_(root);
return sub[cur];
};
dfs(dfs, 0);
}
trc(sub);
// HeavyLightDecomposition<vvi> hld(g);
trie.pid = 1;
vi ans(N);
{
auto dfs = [&](auto rec, int cur, int pval, int par = -1) -> void {
auto root = trie.nil;
unordered_map<int, int> m;
root = trie.add_(pval, -1, root);
m[pval]++;
each(dst, g[cur]) {
if (dst == par) continue;
if (m[sub[dst]] == 0) root = trie.add_(sub[dst], -1, root);
m[sub[dst]]++;
}
ans[cur] = trie.mex_query_(root, 7);
each(dst, g[cur]) {
if (dst == par) continue;
if (m[sub[dst]] == 1) root = trie.del_(sub[dst], -1, root);
rec(rec, dst, trie.mex_query_(root), cur);
if (m[sub[dst]] == 1) root = trie.add_(sub[dst], -1, root);
}
};
dfs(dfs, 0, (1 << 7) - 1);
}
trc(ans);
int xor_ = 0;
each(x, a) xor_ ^= ans[x];
if (xor_ == 0) {
die(-1, -1);
}
set<int> cnt;
each(x, a) cnt.insert(x);
each(cur, cnt) {
int p = -1;
each(dst, g[cur]) {
if (dep[dst] < dep[cur]) {
p = dst;
continue;
}
if ((ans[cur] ^ sub[dst] ^ xor_) == 0) {
// これが答え
int i = -1;
rep(_, M) if (a[_] == cur) i = _;
out(i + 1, dst + 1);
return;
}
}
if (p != -1 and (ans[cur] ^ xor_) < ans[cur]){
int i = -1;
rep(_, M) if (a[_] == cur) i = _;
die(i + 1, p + 1);
}
}
exit(1);
}