結果
| 問題 | No.3003 多項式の割り算 〜hard〜 |
| ユーザー |
 ルク
|
| 提出日時 | 2025-01-17 21:33:41 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 3 ms / 2,000 ms |
| コード長 | 36,575 bytes |
| コンパイル時間 | 2,716 ms |
| コンパイル使用メモリ | 233,608 KB |
| 実行使用メモリ | 5,248 KB |
| 最終ジャッジ日時 | 2025-01-17 21:34:14 |
| 合計ジャッジ時間 | 3,514 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge5 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 20 |
コンパイルメッセージ
main.cpp:1365:33: warning: use of ‘auto’ in parameter declaration only available with ‘-std=c++20’ or ‘-fconcepts’
1365 | void edge_update(int s, auto g)
| ^~~~
main.cpp:1391:35: warning: use of ‘auto’ in parameter declaration only available with ‘-std=c++20’ or ‘-fconcepts’
1391 | bool try_reconnect(int s, auto f)
| ^~~~
ソースコード
#ifdef DEVELOPMENT
#include "./local.h"
#endif
// AtCoder用.
#ifdef ATCODER
// boost.
#if __has_include(<boost/multiprecision/cpp_int.hpp>)
#include <boost/multiprecision/cpp_int.hpp>
using namespace boost::multiprecision;
#endif
// atcoder.
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
using mint = modint998244353;
using MINT = modint1000000007;
#endif
#endif
// オンラインジャッジ用.
#if defined(ONLINE_JUDGE) || defined(EVAL)
// bits.
#if __has_include(<bits/stdc++.h>)
#include <bits/stdc++.h>
using namespace std;
#endif
// ヒューリスティック.
#include <chrono>
#include <random>
using namespace chrono;
#endif
// テンプレート.
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define rep(i, n) for (ll i = 0; i < (n); ++i)
#define REP(i, cc, n) for (ll i = cc; i < (n); ++i)
#define rep1(i, n) for (ll i = 1; i <= (n); ++i)
#define rrep(i, n) for (ll i = n; i > 0; --i)
#define bitrep(i, n) for (ll i = 0; i < (1 << n); ++i)
#define all(a) (a).begin(), (a).end()
#define yesNo(b) ((b) ? "Yes" : "No")
using ll = long long;
using ull = unsigned long long;
using lll = __int128_t;
using ld = long double;
string alphabet = "abcdefghijklmnopqrstuvwxyz";
string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
constexpr double pi = 3.141592653589793;
constexpr ll smallMOD = 998244353;
constexpr ll bigMOD = 1000000007;
constexpr ll INF = 1LL << 60;
constexpr ll dx[] = {1, 0, -1, 0, 1, -1, -1, 1};
constexpr ll dy[] = {0, 1, 0, -1, 1, 1, -1, -1};
// init.
struct Init
{
Init()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout << fixed << setprecision(15);
}
} init;
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &vec)
{
os << "[";
rep(i, vec.size())
{
os << vec[i];
if (i != vec.size() - 1)
os << ", ";
}
os << "]";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<vector<T>> &vec)
{
os << "[";
rep(i, vec.size())
{
os << vec[i];
if (i != vec.size() - 1)
os << ", ";
}
os << "]";
return os;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &pair_var)
{
os << "(" << pair_var.first << ", " << pair_var.second << ")";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const set<T> &st)
{
os << "{";
for (auto itr = st.begin(); itr != st.end(); ++itr)
{
os << *itr;
if (next(itr) != st.end())
os << ", ";
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const set<T, greater<T>> &st)
{
os << "{";
for (auto itr = st.begin(); itr != st.end(); ++itr)
{
os << *itr;
if (next(itr) != st.end())
os << ", ";
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const multiset<T> &st)
{
os << "{";
for (auto itr = st.begin(); itr != st.end(); ++itr)
{
os << *itr;
if (next(itr) != st.end())
os << ", ";
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const multiset<T, greater<T>> &st)
{
os << "{";
for (auto itr = st.begin(); itr != st.end(); ++itr)
{
os << *itr;
if (next(itr) != st.end())
os << ", ";
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const queue<T> &que)
{
queue<T> que2 = que;
os << "{";
while (!que2.empty())
{
os << que2.front();
que2.pop();
if (!que2.empty())
os << ", ";
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const deque<T> &deq)
{
os << "{";
rep(i, deq.size())
{
os << deq[i];
if (i != deq.size() - 1)
os << ", ";
}
os << "}";
return os;
}
template <typename T, typename U>
ostream &operator<<(ostream &os, const map<T, U> &mp)
{
os << "{";
for (auto itr = mp.begin(); itr != mp.end(); ++itr)
{
os << *itr;
if (next(itr) != mp.end())
os << ", ";
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const stack<T> &stk)
{
stack<T> stk2 = stk;
os << "{";
while (!stk2.empty())
{
os << stk2.top();
stk2.pop();
if (!stk2.empty())
os << ", ";
}
os << "}";
return os;
}
template <typename T>
ostream &operator<<(ostream &os, const priority_queue<T> &que)
{
priority_queue<T> que2 = que;
os << "{";
while (!que2.empty())
{
os << que2.top();
que2.pop();
if (!que2.empty())
os << ", ";
}
os << "}";
return os;
}
template <class T>
bool chmax(T &a, T b)
{
if (a < b)
{
a = b;
return 1;
}
return 0;
}
template <class T>
bool chmin(T &a, T b)
{
if (b < a)
{
a = b;
return 1;
}
return 0;
}
template <class T>
size_t HashCombine(const size_t seed, const T &v)
{
return seed ^ (std::hash<T>()(v) + 0x9e3779b9 + (seed << 6) + (seed >> 2));
}
template <class T, class S>
struct std::hash<std::pair<T, S>>
{
size_t operator()(const std::pair<T, S> &keyval) const noexcept
{
return HashCombine(std::hash<T>()(keyval.first), keyval.second);
}
};
template <class T>
struct std::hash<std::vector<T>>
{
size_t operator()(const std::vector<T> &keyval) const noexcept
{
size_t s = 0;
for (auto &&v : keyval)
s = HashCombine(s, v);
return s;
}
};
template <int N>
struct HashTupleCore
{
template <class Tuple>
size_t operator()(const Tuple &keyval) const noexcept
{
size_t s = HashTupleCore<N - 1>()(keyval);
return HashCombine(s, std::get<N - 1>(keyval));
}
};
template <>
struct HashTupleCore<0>
{
template <class Tuple>
size_t operator()(const Tuple &keyval) const noexcept { return 0; }
};
template <class... Args>
struct std::hash<std::tuple<Args...>>
{
size_t operator()(const tuple<Args...> &keyval) const noexcept
{
return HashTupleCore<tuple_size<tuple<Args...>>::value>()(keyval);
}
};
// 約数列挙→O(√N).
vector<ll> all_divisors(ll N)
{
vector<ll> res;
for (ll i = 1; i * i <= N; ++i)
{
if (N % i != 0)
continue;
res.push_back(i);
if (N / i != i)
res.push_back(N / i);
}
sort(res.begin(), res.end());
return res;
}
// 素因数分解→O(√N).
vector<pair<ll, ll>> prime_factorize(ll N)
{
vector<pair<ll, ll>> res;
for (ll p = 2; p * p <= N; ++p)
{
if (N % p != 0)
continue;
ll e = 0;
while (N % p == 0)
{
++e;
N /= p;
}
res.emplace_back(p, e);
}
if (N != 1)
{
res.emplace_back(N, 1);
}
return res;
}
// 繰り返し二乗法→O(logY).
template <class T>
T pow_mod(T A, T N, T M)
{
T res = 1 % M;
A %= M;
while (N)
{
if (N & 1)
res = (res * A) % M;
A = (A * A) % M;
N >>= 1;
}
return res;
}
// 回文判定→O(N).
bool isPalindrome(string str)
{
ll low = 0;
ll high = str.length() - 1;
while (low < high)
{
if (str[low] != str[high])
{
return false;
}
low++;
high--;
}
return true;
}
map<char, ll> alphabetHash = {
{'a', 2},
{'b', 3},
{'c', 5},
{'d', 7},
{'e', 11},
{'f', 13},
{'g', 17},
{'h', 19},
{'i', 23},
{'j', 29},
{'k', 31},
{'l', 37},
{'m', 41},
{'n', 43},
{'o', 47},
{'p', 53},
{'q', 59},
{'r', 61},
{'s', 67},
{'t', 71},
{'u', 73},
{'v', 79},
{'w', 83},
{'x', 89},
{'y', 97},
{'z', 101},
};
// 文字列の数字に対するmod計算→O(|S|).
ll string_mod(string s, ll mod)
{
ll rest = 0;
for (char c : s)
{
ll v = c - '0';
rest = (rest * 10 + v) % mod;
}
return rest;
}
// 二次元累積和.
struct CumulativeSum2D
{
vector<vector<ll>> data;
CumulativeSum2D(vector<vector<ll>> &source)
{
ll h = source.size();
ll w = 0;
if (h != 0)
w = source[0].size();
data.resize(h + 1, vector<ll>(w + 1, 0));
rep(i, h)
{
rep(j, w)
{
data[i + 1][j + 1] = source[i][j];
}
}
rep(i, h + 1)
{
rep(j, w)
{
data[i][j + 1] += data[i][j];
}
}
rep(i, h)
{
rep(j, w + 1)
{
data[i + 1][j] += data[i][j];
}
}
}
// (x1,y1)から(x2,y2)までの矩形和→O(1).
ll query(ll x1, ll y1, ll x2, ll y2)
{
return data[x2][y2] - data[x1][y2] - data[x2][y1] + data[x1][y1];
}
};
// UnionFind.
struct UnionFind
{
vector<ll> parent;
vector<ll> parentSize;
UnionFind(ll N)
{
rep(i, N + 1)
{
parent.push_back(i);
parentSize.push_back(1);
}
}
ll root(ll x)
{
if (parent[x] == x)
return x;
parent[x] = root(parent[x]);
return parent[x];
}
bool unite(ll x, ll y)
{
x = root(x);
y = root(y);
if (x == y)
return false;
if (parentSize[x] > parentSize[y])
swap(x, y);
parent[x] = y;
parentSize[y] += parentSize[x];
return true;
}
bool same(ll x, ll y)
{
return root(x) == root(y);
}
ll size(ll x)
{
return parentSize[root(x)];
}
};
struct RollBackUnionFind
{
vector<ll> parent;
stack<pair<ll, ll>> history;
RollBackUnionFind(ll N)
{
parent.assign(N, -1);
}
ll root(ll x)
{
if (parent[x] < 0)
return x;
return root(parent[x]);
}
bool unite(ll x, ll y)
{
x = root(x);
y = root(y);
history.push({x, parent[x]});
history.push({y, parent[y]});
if (x == y)
return false;
if (parent[x] > parent[y])
swap(x, y);
parent[x] += parent[y];
parent[y] = x;
return true;
}
ll same(ll x, ll y)
{
return root(x) == root(y);
}
ll size(ll x)
{
return (-parent[root(x)]);
}
void undo()
{
parent[history.top().first] = history.top().second;
history.pop();
parent[history.top().first] = history.top().second;
history.pop();
}
void snapshot()
{
while (!history.empty())
history.pop();
}
void rollback()
{
while (!history.empty())
{
undo();
}
}
};
// Math.
struct NCR
{
ll max = 510000, mod = 0;
vector<ll> fact, inv, inv_fact;
NCR(ll mod = 998244353)
{
this->mod = mod;
fact.resize(max);
inv.resize(max);
inv_fact.resize(max);
fact[0] = 1;
fact[1] = 1;
inv[0] = 1;
inv[1] = 1;
inv_fact[0] = 1;
inv_fact[1] = 1;
for (ll i = 2; i < max; i++)
{
fact[i] = fact[i - 1] * i % mod;
inv[i] = mod - inv[mod % i] * (mod / i) % mod;
inv_fact[i] = inv_fact[i - 1] * inv[i] % mod;
}
}
ll nCr(ll n, ll r)
{
ll x = fact[n];
ll y = inv_fact[n - r];
ll z = inv_fact[r];
if (n < r)
return 0;
if (n < 0 || r < 0)
return 0;
return x * ((y * z) % mod) % mod;
}
};
// Graph.
struct Edge
{
ll to;
ll cost;
Edge(ll to, ll cost) : to(to), cost(cost) {}
bool operator>(const Edge &e) const
{
return cost > e.cost;
}
};
struct Graph
{
vector<vector<Edge>> g;
Graph(ll n)
{
g.resize(n);
}
ll size()
{
return g.size();
}
void add_edge(ll from, ll to, ll cost = 1)
{
g[from].push_back(Edge(to, cost));
g[to].push_back(Edge(from, cost));
}
void add_directed_edge(ll from, ll to, ll cost = 1)
{
g[from].push_back(Edge(to, cost));
}
pair<ll, vector<ll>> tree_diameter()
{
function<pair<ll, ll>(ll, ll)> dfs = [&](ll v, ll p) -> pair<ll, ll>
{
pair<ll, ll> res = {0, v};
for (auto e : g[v])
{
if (e.to == p)
continue;
auto [d, u] = dfs(e.to, v);
d += e.cost;
if (res.first < d)
{
res.first = d;
res.second = u;
}
}
return res;
};
auto [d, u] = dfs(0, -1);
auto [d2, v] = dfs(u, -1);
vector<ll> path;
function<void(ll, ll, ll)> get_path = [&](ll v, ll p, ll u)
{
if (v == u)
{
path.push_back(v);
return;
}
for (auto e : g[v])
{
if (e.to == p)
continue;
get_path(e.to, v, u);
if (!path.empty())
{
path.push_back(v);
return;
}
}
};
get_path(u, -1, v);
return {d2, path};
}
vector<Edge> &operator[](ll v)
{
return g[v];
}
};
struct Dijkstra
{
vector<ll> dist;
vector<ll> prev;
// dijkstraを構築
Dijkstra(Graph &g, ll s)
{
ll n = g.size();
dist.assign(n, INF);
prev.assign(n, -1);
priority_queue<pair<ll, ll>, vector<pair<ll, ll>>, greater<pair<ll, ll>>> pq;
dist[s] = 0;
pq.emplace(dist[s], s);
while (!pq.empty())
{
auto p = pq.top();
pq.pop();
ll v = p.second;
if (dist[v] < p.first)
continue;
for (auto &e : g[v])
{
if (dist[e.to] > dist[v] + e.cost)
{
dist[e.to] = dist[v] + e.cost;
prev[e.to] = v;
pq.emplace(dist[e.to], e.to);
}
}
}
}
// 最小コストを求める
ll get_cost(ll to)
{
return dist[to];
}
// 最短経路を求める
vector<ll> get_path(ll to)
{
vector<ll> get_path;
for (ll i = to; i != -1; i = prev[i])
{
get_path.push_back(i);
}
reverse(get_path.begin(), get_path.end());
return get_path;
}
// 到達可能か調べる
bool cango(ll to)
{
return (dist[to] != INF);
}
};
struct Bellman_ford
{
vector<ll> dist;
vector<ll> prev;
ll start;
ll size;
bool cl = false;
// bellman_fordを構築
Bellman_ford(Graph &g, ll s)
{
start = s;
ll n = g.size();
size = n;
dist.assign(n, INF);
prev.assign(n, -1);
vector<ll> counts(n);
vector<bool> inqueue(n);
queue<ll> q;
dist[s] = 0;
q.push(s);
inqueue[s] = true;
while (!q.empty())
{
ll from = q.front();
q.pop();
inqueue[from] = false;
for (auto &e : g[from])
{
ll d = dist[from] + e.cost;
if (d < dist[e.to])
{
dist[e.to] = d;
prev[e.to] = from;
if (!inqueue[e.to])
{
q.push(e.to);
inqueue[e.to] = true;
++counts[e.to];
if (n < counts[e.to])
cl = true;
}
}
}
}
}
// 最小コストを求める
ll get_cost(ll to)
{
return dist[to];
}
// 最短経路を求める
vector<ll> get_path(ll to)
{
vector<ll> path;
if (dist[to] != INF)
{
for (ll i = to; i != -1; i = prev[i])
{
path.push_back(i);
}
reverse(path.begin(), path.end());
}
return path;
}
// 到達可能か調べる
bool cango(ll to)
{
return (dist[to] != INF);
}
// 閉路の有無を調べる
bool closed()
{
return cl;
}
};
struct Warshall_floyd
{
vector<vector<ll>> d;
vector<vector<ll>> next;
bool cl = false;
// warshall_floydを構築
Warshall_floyd(Graph &g)
{
ll n = g.size();
d.resize(n, vector<ll>(n, INF));
next.resize(n, vector<ll>(n, -1));
for (ll i = 0; i < n; i++)
{
d[i][i] = 0;
}
for (ll i = 0; i < n; i++)
{
for (auto e : g[i])
{
d[i][e.to] = e.cost;
next[i][e.to] = e.to;
}
}
for (ll k = 0; k < n; ++k)
{
for (ll i = 0; i < n; ++i)
{
for (ll j = 0; j < n; ++j)
{
if (d[i][j] > d[i][k] + d[k][j])
{
d[i][j] = d[i][k] + d[k][j];
next[i][j] = next[i][k];
}
}
}
}
for (ll i = 0; i < n; i++)
{
if (d[i][i] < 0)
{
cl = true;
break;
}
}
}
// 最小コストを求める
ll get_cost(ll from, ll to)
{
return d[from][to];
}
// 最短経路を求める
vector<ll> get_path(ll from, ll to)
{
if (d[from][to] == INF)
return {};
vector<ll> path;
for (ll at = from; at != to; at = next[at][to])
{
if (at == -1)
return {};
path.push_back(at);
}
path.push_back(to);
return path;
}
// 到達可能か調べる
bool cango(ll from, ll to)
{
return d[from][to] != INF;
}
// 負の閉路の有無を調べる
bool closed()
{
return cl;
}
};
// others.
struct Timer
{
Timer(ll ms) : duration(ms), start_time(steady_clock::now()) {}
bool isTimeOver() const
{
auto current_time = steady_clock::now();
auto elapsed = duration_cast<milliseconds>(current_time - start_time).count();
return elapsed >= duration;
}
ll duration;
steady_clock::time_point start_time;
};
class FunctionalGraph
{
private:
const ll V;
ll loop_id;
vector<ll> nx;
void make_loop(const ll st, ll nw, vector<ll> &vec)
{
while (nx[nw] != st)
{
vec.push_back(nx[nw]);
visit[nx[nw]] = loop_id;
nw = nx[nw];
}
}
ll dfs(ll u, vector<ll> &vec)
{
visit[u] = -loop_id;
ll v = nx[u];
if (visit[v] == -loop_id)
{
vec.push_back(u), vec.push_back(v);
visit[u] = visit[v] = loop_id;
make_loop(u, v, vec);
loop_id++;
return 0;
}
else if (visit[v] == 0)
{
const ll res = dfs(v, vec);
if (res == 0)
return 0;
else
return visit[u] = res;
}
return visit[u] = (visit[v] > 0 ? -visit[v] : visit[v]);
}
void make_graph()
{
graph.resize(V);
for (ll i = 0; i < V; i++)
{
if (visit[i] < 0)
graph[nx[i]].push_back(i);
}
}
public:
vector<ll> visit;
vector<vector<ll>> loop, graph;
FunctionalGraph(const ll node_size)
: V(node_size), loop_id(1), nx(V, 0), visit(V, 0) {}
void add_edge(ll u, ll v)
{
nx[u] = v;
if (u == nx[u])
visit[u] = loop_id++, loop.push_back({u});
}
void solve()
{
for (ll i = 0; i < V; i++)
{
if (visit[i] == 0)
{
vector<ll> vec;
dfs(i, vec);
if (!vec.empty())
loop.push_back(move(vec));
}
}
}
};
ll non_mod_ncr(ll n, ll r)
{
ll res = 1;
for (ll i = 0; i < r; i++)
{
res *= (n - i);
}
for (ll i = 0; i < r; i++)
{
res /= (i + 1);
}
return res;
}
// 前計算O(N log N)、クエリO(log N)
struct FastTruthFactorizes
{
public:
ll N_MAX;
vector<ll> spf;
FastTruthFactorizes(ll N_MAX)
{
this->N_MAX = N_MAX;
spf.resize(N_MAX);
rep(i, N_MAX) spf[i] = i;
// 調和級数の和でO(N log N).
for (ll p = 2; p * p <= N_MAX; p++)
{
for (int i = p; i < N_MAX; i += p)
{
if (spf[i] == i)
spf[i] = p;
}
}
}
// 素因数分解するO(log N).
map<ll, ll> factorize(ll n)
{
map<ll, ll> mp;
while (n != 1)
{
ll p = spf[n];
mp[p]++;
n /= p;
}
return mp;
}
// 約数を列挙するO(log N).
vector<ll> calcDevisors(ll n)
{
vector<ll> Y;
auto mp = factorize(n);
vector<pair<ll, ll>> V;
for (auto pa : mp)
{
V.push_back(pa);
}
dfs(0, 1, Y, V);
return Y;
}
private:
void dfs(ll cur_idx, ll cur_val, vector<ll> &Y, vector<pair<ll, ll>> &mp)
{
ll N = mp.size();
if (cur_idx == N)
{
Y.push_back(cur_val);
return;
}
ll v = mp[cur_idx].first;
ll c = mp[cur_idx].second;
ll mul = 1;
rep(p, c + 1)
{
dfs(cur_idx + 1, cur_val * mul, Y, mp);
mul *= v;
}
return;
}
};
// 素数判定O(1).
bool millerRabin(ll num)
{
if (num == 1)
return false;
if (num == 2)
return true;
if (num % 2 == 0)
return false;
ll d = num - 1;
ll s = 0;
while (d % 2 == 0)
{
d /= 2;
s++;
}
vector<ll> primes;
if (num < 4759123141LL)
{
primes = {2, 7, 61};
}
else
{
primes = {2, 325, 9375, 28178, 450775, 9780504, 1795265022};
}
for (auto &p : primes)
{
if (p >= num)
return true;
ll t, x = pow_mod<lll>(p, d, num);
if (x != 1)
{
for (t = 0; t < s; t++)
{
if (x == num - 1)
break;
x = lll(x) * x % num;
}
if (t == s)
return false;
}
}
return true;
}
// エラトステネスの篩O(N log log N).
vector<ll> eratosthenes(ll target)
{
ll limit = sqrtl(target) + 1;
vector<bool> primes(target + 1, true);
primes[0] = primes[1] = false;
for (ll n = 2; n <= limit; ++n)
{
if (primes[n])
{
for (ll multiple = n * 2; multiple <= target; multiple += n)
{
primes[multiple] = false;
}
}
}
vector<ll> result;
for (ll i = 0; i <= target; ++i)
{
if (primes[i])
{
result.push_back(i);
}
}
return result;
}
template <typename T>
bool next_combination(const T first, const T last, int k)
{
const T subset = first + k;
if (first == last || first == subset || last == subset)
{
return false;
}
T src = subset;
while (first != src)
{
src--;
if (*src < *(last - 1))
{
T dest = subset;
while (*src >= *dest)
{
dest++;
}
iter_swap(src, dest);
rotate(src + 1, dest + 1, last);
rotate(subset, subset + (last - dest) - 1, last);
return true;
}
}
rotate(first, subset, last);
return false;
}
template <typename T>
class dynamic_connectivity
{
class euler_tour_tree
{
public:
struct node;
using np = node *;
using lint = long long;
struct node
{
np ch[2] = {nullptr, nullptr};
np p = nullptr;
int l, r, sz;
T val = et, sum = et;
bool exact;
bool child_exact;
bool edge_connected = 0;
bool child_edge_connected = 0;
node() {}
node(int l, int r) : l(l), r(r), sz(l == r), exact(l < r), child_exact(l < r) {}
bool is_root()
{
return !p;
}
};
vector<unordered_map<int, np>> ptr;
np get_node(int l, int r)
{
if (ptr[l].find(r) == ptr[l].end())
ptr[l][r] = new node(l, r);
return ptr[l][r];
}
np root(np t)
{
if (!t)
return t;
while (t->p)
t = t->p;
return t;
}
bool same(np s, np t)
{
if (s)
splay(s);
if (t)
splay(t);
return root(s) == root(t);
}
np reroot(np t)
{
auto s = split(t);
return merge(s.second, s.first);
}
pair<np, np> split(np s)
{
splay(s);
np t = s->ch[0];
if (t)
t->p = nullptr;
s->ch[0] = nullptr;
return {t, update(s)};
}
pair<np, np> split2(np s)
{
splay(s);
np t = s->ch[0];
np u = s->ch[1];
if (t)
t->p = nullptr;
s->ch[0] = nullptr;
if (u)
u->p = nullptr;
s->ch[1] = nullptr;
return {t, u};
}
tuple<np, np, np> split(np s, np t)
{
auto u = split2(s);
if (same(u.first, t))
{
auto r = split2(t);
return make_tuple(r.first, r.second, u.second);
}
else
{
auto r = split2(t);
return make_tuple(u.first, r.first, r.second);
}
}
template <typename First, typename... Rest>
np merge(First s, Rest... t)
{
return merge(s, merge(t...));
}
np merge(np s, np t)
{
if (!s)
return t;
if (!t)
return s;
while (s->ch[1])
s = s->ch[1];
splay(s);
s->ch[1] = t;
if (t)
t->p = s;
return update(s);
}
int size(np t) { return t ? t->sz : 0; }
np update(np t)
{
t->sum = et;
if (t->ch[0])
t->sum = fn(t->sum, t->ch[0]->sum);
if (t->l == t->r)
t->sum = fn(t->sum, t->val);
if (t->ch[1])
t->sum = fn(t->sum, t->ch[1]->sum);
t->sz = size(t->ch[0]) + (t->l == t->r) + size(t->ch[1]);
t->child_edge_connected = (t->ch[0] ? t->ch[0]->child_edge_connected : 0) | (t->edge_connected) | (t->ch[1] ? t->ch[1]->child_edge_connected : 0);
t->child_exact = (t->ch[0] ? t->ch[0]->child_exact : 0) | (t->exact) | (t->ch[1] ? t->ch[1]->child_exact : 0);
return t;
}
void push(np t)
{
// 遅延評価予定
}
void rot(np t, bool b)
{
np x = t->p, y = x->p;
if ((x->ch[1 - b] = t->ch[b]))
t->ch[b]->p = x;
t->ch[b] = x, x->p = t;
update(x);
update(t);
if ((t->p = y))
{
if (y->ch[0] == x)
y->ch[0] = t;
if (y->ch[1] == x)
y->ch[1] = t;
update(y);
}
}
void splay(np t)
{
push(t);
while (!t->is_root())
{
np q = t->p;
if (q->is_root())
{
push(q), push(t);
rot(t, q->ch[0] == t);
}
else
{
np r = q->p;
push(r), push(q), push(t);
bool b = r->ch[0] == q;
if (q->ch[1 - b] == t)
rot(q, b), rot(t, b);
else
rot(t, 1 - b), rot(t, b);
}
}
}
void debug(np t)
{
if (!t)
return;
debug(t->ch[0]);
cerr << t->l << "-" << t->r << " ";
debug(t->ch[1]);
}
public:
euler_tour_tree() {}
euler_tour_tree(int sz)
{
ptr.resize(sz);
for (int i = 0; i < sz; i++)
ptr[i][i] = new node(i, i);
}
int size(int s)
{
np t = get_node(s, s);
splay(t);
return t->sz;
}
bool same(int s, int t)
{
return same(get_node(s, s), get_node(t, t));
}
void set_size(int sz)
{
ptr.resize(sz);
for (int i = 0; i < sz; i++)
ptr[i][i] = new node(i, i);
}
void update(int s, T x)
{
np t = get_node(s, s);
splay(t);
t->val = fn(t->val, x);
update(t);
}
void edge_update(int s, auto g)
{
np t = get_node(s, s);
splay(t);
function<void(np)> dfs = [&](np t)
{
assert(t);
if (t->l < t->r && t->exact)
{
splay(t);
t->exact = 0;
update(t);
g(t->l, t->r);
return;
}
if (t->ch[0] && t->ch[0]->child_exact)
dfs(t->ch[0]);
else
dfs(t->ch[1]);
};
while (t && t->child_exact)
{
dfs(t);
splay(t);
}
}
bool try_reconnect(int s, auto f)
{
np t = get_node(s, s);
splay(t);
function<bool(np)> dfs = [&](np t) -> bool
{
assert(t);
if (t->edge_connected)
{
splay(t);
return f(t->l);
}
if (t->ch[0] && t->ch[0]->child_edge_connected)
return dfs(t->ch[0]);
else
return dfs(t->ch[1]);
};
while (t->child_edge_connected)
{
if (dfs(t))
return 1;
splay(t);
}
return 0;
}
void edge_connected_update(int s, bool b)
{
np t = get_node(s, s);
splay(t);
t->edge_connected = b;
update(t);
}
bool link(int l, int r)
{
if (same(l, r))
return 0;
merge(reroot(get_node(l, l)), get_node(l, r), reroot(get_node(r, r)), get_node(r, l));
return 1;
}
bool cut(int l, int r)
{
if (ptr[l].find(r) == ptr[l].end())
return 0;
np s, t, u;
tie(s, t, u) = split(get_node(l, r), get_node(r, l));
merge(s, u);
np p = ptr[l][r];
np q = ptr[r][l];
ptr[l].erase(r);
ptr[r].erase(l);
delete p;
delete q;
return 1;
}
T get_sum(int p, int v)
{
cut(p, v);
np t = get_node(v, v);
splay(t);
T res = t->sum;
link(p, v);
return res;
}
T get_sum(int s)
{
np t = get_node(s, s);
splay(t);
return t->sum;
}
};
int dep = 1;
vector<euler_tour_tree> ett;
vector<vector<unordered_set<int>>> edges;
int sz;
public:
dynamic_connectivity(int sz) : sz(sz)
{
ett.emplace_back(sz);
edges.emplace_back(sz);
}
bool link(int s, int t)
{
if (s == t)
return 0;
if (ett[0].link(s, t))
return 1;
edges[0][s].insert(t);
edges[0][t].insert(s);
if (edges[0][s].size() == 1)
ett[0].edge_connected_update(s, 1);
if (edges[0][t].size() == 1)
ett[0].edge_connected_update(t, 1);
return 0;
}
bool same(int s, int t)
{
return ett[0].same(s, t);
}
int size(int s)
{
return ett[0].size(s);
}
vector<int> get_vertex(int s)
{
return ett[0].vertex_list(s);
}
void update(int s, T x)
{
ett[0].update(s, x);
}
T get_sum(int s)
{
return ett[0].get_sum(s);
}
bool cut(int s, int t)
{
if (s == t)
return 0;
for (int i = 0; i < dep; i++)
{
edges[i][s].erase(t);
edges[i][t].erase(s);
if (edges[i][s].size() == 0)
ett[i].edge_connected_update(s, 0);
if (edges[i][t].size() == 0)
ett[i].edge_connected_update(t, 0);
}
for (int i = dep - 1; i >= 0; i--)
{
if (ett[i].cut(s, t))
{
if (dep - 1 == i)
{
dep++;
ett.emplace_back(sz);
edges.emplace_back(sz);
}
return !try_reconnect(s, t, i);
}
}
return 0;
}
bool try_reconnect(int s, int t, int k)
{
for (int i = 0; i < k; i++)
{
ett[i].cut(s, t);
}
for (int i = k; i >= 0; i--)
{
if (ett[i].size(s) > ett[i].size(t))
swap(s, t);
auto g = [&](int s, int t)
{ ett[i + 1].link(s, t); };
ett[i].edge_update(s, g);
auto f = [&](int x) -> bool
{
for (auto itr = edges[i][x].begin(); itr != edges[i][x].end();)
{
auto y = *itr;
itr = edges[i][x].erase(itr);
edges[i][y].erase(x);
if (edges[i][x].size() == 0)
ett[i].edge_connected_update(x, 0);
if (edges[i][y].size() == 0)
ett[i].edge_connected_update(y, 0);
if (ett[i].same(x, y))
{
edges[i + 1][x].insert(y);
edges[i + 1][y].insert(x);
if (edges[i + 1][x].size() == 1)
ett[i + 1].edge_connected_update(x, 1);
if (edges[i + 1][y].size() == 1)
ett[i + 1].edge_connected_update(y, 1);
}
else
{
for (int j = 0; j <= i; j++)
{
ett[j].link(x, y);
}
return 1;
}
}
return 0;
};
if (ett[i].try_reconnect(s, f))
return 1;
}
return 0;
}
constexpr static T et = T();
constexpr static T fn(T s, T t)
{
return s + t;
}
};
int main()
{
ll a, b;
cin >> a >> b;
if (b % 3 == 0)
{
cout << 0 << " " << a << endl;
}
else if (b % 3 == 1)
{
cout << a << " " << 0 << endl;
}
else
{
cout << -a << " " << -a << endl;
}
return 0;
}