結果

問題 No.2187 三立法和 mod 333
ユーザー YFuka86YFuka86
提出日時 2023-01-13 22:28:14
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 100 ms
コード長 18,615 bytes
コンパイル時間 3,363 ms
コンパイル使用メモリ 238,188 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-06-06 23:14:48
合計ジャッジ時間 4,272 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 2 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 2 ms
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testcase_23 AC 2 ms
5,376 KB
testcase_24 AC 2 ms
5,376 KB
testcase_25 AC 2 ms
5,376 KB
testcase_26 AC 2 ms
5,376 KB
testcase_27 AC 2 ms
5,376 KB
testcase_28 AC 2 ms
5,376 KB
testcase_29 AC 2 ms
5,376 KB
testcase_30 AC 2 ms
5,376 KB
testcase_31 AC 2 ms
5,376 KB
testcase_32 AC 2 ms
5,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
using ll = long long; using uint = unsigned int; using ull = unsigned long long; using ld = long double; using i128 = __int128_t;
using P = pair<int, int>; using LP = pair<ll, ll>; using LT = tuple<ll, ll, ll>; using LT4 =  tuple<ll, ll, ll, ll>;
typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<vvl> v3l; typedef vector<v3l> v4l; typedef vector<v4l> v5l;
typedef vector<LP> vlp; typedef vector<vlp> vvlp; typedef vector<LT> vlt; typedef vector<vlt> vvlt; typedef vector<LT4> vlt4; typedef vector<string> vs; typedef vector<vs> vvs;
typedef vector<ld> vd; typedef vector<vd> vvd; typedef vector<bool> vb; typedef vector<vb> vvb;
template<typename T> using pq = priority_queue<T>; template<typename T> using mpq = priority_queue<T, vector<T>, greater<T>>;
template<typename T> class infinity{ public: static constexpr T MAX=numeric_limits<T>::max(); static constexpr T MIN=numeric_limits<T>::min(); static constexpr T val=numeric_limits<T>::max()/2-1e6; static constexpr T mval=numeric_limits<T>::min()/2+1e6; };
const int INF = infinity<int>::val; const ll LINF = infinity<ll>::val; const ld DINF = infinity<ld>::val;
#define _overload5(a, b, c, d, e, name, ...) name
#define _overload4(a, b, c, d, name, ...) name
#define _overload3(a, b, c, name, ...) name
#define _rep0(n) for(ll i = 0; i < (ll)(n); ++i)
#define _rep1(i, n) for(ll i = 0; i < (ll)(n); ++i)
#define _rep2(i, a, b) for(ll i = (ll)(a); i < (ll)(b); ++i)
#define _rep3(i, a, b, c) for(ll i = (ll)(a); i < (ll)(b); i += (ll)(c))
#define rep(...) _overload4(__VA_ARGS__, _rep3, _rep2, _rep1, _rep0)(__VA_ARGS__)
#define _per0(n) for(ll i = 0; i < (ll)(n); ++i)
#define _per1(i, n) for(ll i = (ll)(n)-1; i >= 0; --i)
#define _per2(i, a, b) for(ll i = (ll)(b)-1; i >= (ll)(a); --i)
#define _per3(i, a, b, c) for(ll i = (ll)(b)-1; i >= (ll)(a); i -= (ll)(c))
#define rep_r(...) _overload4(__VA_ARGS__, _per3, _per2, _per1, _per0)(__VA_ARGS__)
#define _fore0(a) rep(a.size())
#define _fore1(i, a) for(auto &&i : a)
#define _fore2(a, b, v) for(auto &&[a, b] : v)
#define _fore3(a, b, c, v) for(auto &&[a, b, c] : v)
#define _fore4(a, b, c, d, v) for(auto &&[a, b, c, d] : v)
#define fore(...) _overload5(__VA_ARGS__, _fore4, _fore3, _fore2, _fore1, _fore0)(__VA_ARGS__)
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define rng_of(v, l, r) (v).begin() + l, (v).begin() + r
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fi first
#define se second
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define v3(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define v4(type, name, a, b, c, ...) vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
struct RandGen {
  using ud = uniform_int_distribution<ll>; mt19937 mt; RandGen() : mt(chrono::steady_clock::now().time_since_epoch().count()) {}
  ll l(ll a, ll b) { ud d(a, b - 1); return d(mt); }
  LP lp(ll a, ll b, bool rng = true) { ll x = l(a, b - 1), y = l(rng ? x + 1 : a, b - 1); return {x, y}; }
  vl vecl(ll n, ll a, ll b) { ud d(a, b - 1); vl ret(n); rep(i, n) ret[i] = d(mt); return ret; }
  vl vecperm(ll n, ll from = 0) { vl perm(n); iota(all(perm), from); shuffle(perm); return perm; }
  string str(ll n, string op) { vl fig = vecl(n, 0, op.size()); string s; rep(i, n) s.pb(op[fig[i]]); return s; }
  string straz(ll n, ll a = 0, ll z = 26) { vl az = vecl(n, a, z); string s; rep(i, n) s.pb('a' + az[i]); return s; }
  string strnum(ll n, ll zero = 0, ll ten = 10) { vl zt = vecl(n, zero, ten); string s; rep(i, n) s.pb('0' + zt[i]); return s; }
  template<typename T> void shuffle(vector<T> &a) { std::shuffle(all(a), mt); }
};
// デバッグ系
#define dout cout
template<typename T, typename=void> struct is_specialize:false_type{};
template<typename T> struct is_specialize<T, typename conditional<false,typename T::iterator, void>::type>:true_type{};
template<typename T> struct is_specialize<T, typename conditional<false,decltype(T::first), void>::type>:true_type{};
template<typename T> struct is_specialize<T, enable_if_t<is_integral<T>::value, void>>:true_type{};
void dump(const char &t) { dout<<t; } void dump(const string &t) { dout<<t; } void dump(const bool &t) { dout<<(t ? "true" : "false"); }
template<typename T, enable_if_t<!is_specialize<T>::value, nullptr_t> =nullptr> void dump(const T&t) { dout << const_cast<T &>(t); }
template<typename T> void dump(const T&t, enable_if_t<is_integral<T>::value>* =nullptr) { string tmp;if(t==infinity<T>::val||t==infinity<T>::MAX)tmp="inf";if(is_signed<T>::value&&(t==infinity<T>::mval||t==infinity<T>::MIN))tmp="-inf";if(tmp.empty())tmp=to_string(t);dout<<tmp; }
template<typename T, typename U, typename V> void dump(const tuple<T, U, V>&t) { dout<<"("; dump(get<0>(t)); dout<<" "; dump(get<1>(t)); dout << " "; dump(get<2>(t)); dout << ")"; }
template<typename T, typename U, typename V, typename S> void dump(const tuple<T, U, V, S>&t) { dout<<"("; dump(get<0>(t)); dout<<" "; dump(get<1>(t)); dout << " "; dump(get<2>(t)); dout << " "; dump(get<3>(t)); dout << ")"; }
template<typename T,typename U> void dump(const pair<T,U>&);
template<typename T> void dump(const T&t, enable_if_t<!is_void<typename T::iterator>::value>* =nullptr) { dout << "{ "; for(auto it=t.begin();it!=t.end();){ dump(*it); dout << (++it==t.end() ? "" : " "); } dout<<" }"; }
template<typename T,typename U> void dump(const pair<T,U>&t) { dout<<"("; dump(t.first); dout<<" "; dump(t.second); dout << ")"; }
void trace() { dout << "\n"; } template<typename Head, typename... Tail> void trace(Head&&head, Tail&&... tail) { dump(head); if(sizeof...(tail)) dout<<", "; trace(forward<Tail>(tail)...); }
#ifdef ONLINE_JUDGE
#define debug(...) (void(0))
#else
#define debug(...) do {dout<<#__VA_ARGS__<<" = ";trace(__VA_ARGS__); } while(0)
#endif
// 入出力系
#define LL(...) ll __VA_ARGS__; IN(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__; IN(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; IN(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__; IN(__VA_ARGS__)
#define _vl(name, size) vl name(size); IN(name)
#define _vl2(name, size, off) vl name(size); IN(name); rep(i, size) name[i]-=off
#define VL(...) _overload3(__VA_ARGS__, _vl2, _vl)(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size); IN(name)
#define VEC2(type, name1, name2, size) vector<type> name1(size), name2(size); for(int i = 0; i < size; i++) IN(name1[i], name2[i])
#define VEC3(type, name1, name2, name3, size) vector<type> name1(size), name2(size), name3(size); for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i])
#define VEC4(type, name1, name2, name3, name4, size) vector<type> name1(size), name2(size), name3(size), name4(size); for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i], name4[i]);
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); IN(name)
void scan(int &a) { cin >> a; } void scan(long long &a) { cin >> a; } void scan(char &a) { cin >> a; } void scan(double &a) { cin >> a; } void scan(string &a) { cin >> a; }
template <class T> void scan(T &a) { cin >> a; }
template <class T, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T> void scan(vector<T> &a) { for(auto &i : a) scan(i); }
void IN() {} template <class Head, class... Tail> void IN(Head &head, Tail &...tail) { scan(head); IN(tail...); }
#define OUTRET(...) { { OUT(__VA_ARGS__); return; } }
template <class T, class S> ostream &operator<<(ostream &os, const pair<T, S> &p) { return os << p.first << " " << p.second; }
void OUT() { cout << '\n'; } template <typename Head, typename... Tail> void OUT(const Head &head, const Tail &...tail) { cout << head; if(sizeof...(tail)) cout << ' '; OUT(tail...); }
template<class T, class S = ll> void OUTARRAY(vector<T>& v, S offset = S(0), string sep = " ") { rep(i, v.size()) { if (i > 0) cout << sep; if (offset != T(0)) { T t; t = v[i] + offset; cout << t; } else cout << v[i]; } cout << "\n"; }
template<class T, class S = ll> void OUTMAT(vector<vector<T>>& v, S offset = S(0)) { rep(i, v.size()) { OUTARRAY(v[i], offset); } }
template<typename T> void OUTBIN(T &a, int d) { for (int i = d - 1; i >= 0; i--) cout << ((a >> i) & (T)1); cout << "\n"; }
template<typename Q, typename A> void IQUERY(initializer_list<Q> q, A &a, string str = "? ") { cout << str; vector<Q> v(q); OUTARRAY(v); cout.flush(); cin >> a; }
// template<typename Q, typename A> void IQUERY(initializer_list<Q> q, A &a, string str = "? ") { vector<Q> query(q); RandGen rg;
//   a = query[0] ? A() : A();
// }
template<typename A> void IANSWER(initializer_list<A> a, string str = "! ") { cout << str; vector<A> v(a); OUTARRAY(v); cout.flush(); }
// 数値系
int ceil_pow2(ll n) { int x = 0; while ((1ULL << x) < (ull)(n)) x++; return x; }
int floor_pow2(ll n) { int x = 0; while ((1ULL << (x + 1)) <= (ull)(n)) x++; return x; }
pair<ll, ll> sqrtll(ll n) { ll x = round(sqrt(n)); if (x * x > n) --x; return {x, x + (x * x != n)}; }
ll POW(__uint128_t x, int n) { assert(n >= 0); ll res = 1; for(; n; n >>= 1, x *= x) if(n & 1) res *= x; return res; }
vl primes(const ll n) { vb isp(n + 1, true); for(ll i = 2; i * i <= n; i++) { if ((i > 2 && i % 2 == 0) || !isp[i]) continue; for(ll j = i * i; j <= n; j += i) isp[j] = 0; } vl ret; for(ll i = 2; i <= n; i++) if (isp[i]) ret.emplace_back(i); return ret; }
vector<pair<ll, ll>> factorize(ll n) { vector<pair<ll, ll>> res; for (ll a = 2; a * a <= n; ++a) { if (n % a != 0) continue; ll ex = 0; while (n % a == 0) { ++ex; n /= a; } res.emplace_back(a, ex); } if (n != 1) res.emplace_back(n, 1); return res; }
vl divisor(ll n) { vl ret; for (ll i = 1; i * i <= n; i++) { if (n % i == 0) { ret.pb(i); if (i * i != n) ret.pb(n / i); } } sort(all(ret)); return ret; }
template<typename T> vl digits(T n) { assert(n >= 0); vl ret; while(n > 0) { ret.pb(n % 10); n /= 10; } return ret; }
template<class T, enable_if_t<is_integral<T>::value, nullptr_t> = nullptr> int msb(T x){ if (sizeof(x) == 4) return 31 - __builtin_clz(x); else return 63 - __builtin_clzll(x); }
template<class T, enable_if_t<is_integral<T>::value, nullptr_t> = nullptr> int lsb(T x){ if (sizeof(x) == 4) return __builtin_ctz(x); else return __builtin_ctzll(x); }
template<typename T, typename S> T ceil(T x, S y) { assert(y); return (y < 0 ? ceil(-x, -y) : (x > 0 ? (x + y - 1) / y : x / y)); }
template<typename T, typename S> T floor(T x, S y) { assert(y); return (y < 0 ? floor(-x, -y) : (x > 0 ? x / y : (x - y + 1) / y)); }
template<typename T = ll> T sum_of(const vector<T> &v, int l = 0, int r = INF) { return accumulate(rng_of(v, l, min(r, (int)v.size())), T(0)); }
template<class... T> constexpr auto min(T... a){ return min(initializer_list<common_type_t<T...>>{a...}); }
template<class... T> constexpr auto mine(T... a) { return min(a..., LINF, LINF); }
template<class... T> constexpr auto max(T... a){ return max(initializer_list<common_type_t<T...>>{a...}); }
template<class... T> constexpr auto maxe(T... a) { return max(a..., -LINF, -LINF); }
ll mex(vl& v) { ll n = v.size(); vb S(n + 1); for (auto a: v) if (a <= n) S[a] = 1; ll ret = 0; while (S[ret]) ret++; return ret; }
// 操作系
template<class T> void rotate(vector<vector<T>> &a) { ll n = a.size(), m = a[0].size(); vector<vector<T>> ret(m, vector<T>(n, 0)); rep(i, n) rep(j, m) ret[j][n - 1 - i] = a[i][j]; a = ret; }
template<typename T> void uniq(vector<T>&a) { sort(all(a)); a.erase(unique(all(a)), a.end()); }
template<typename T> void comp(vector<T>&a) { vector<T> b = a; uniq(b); rep(i, a.size()) a[i] = lower_bound(all(b), a[i]) - b.begin(); }
template<class T = ll> pair<unordered_map<ll, ll>, unordered_map<ll, ll>> compmap(vector<T> &a) { vector<T> ca = a; comp(ca); unordered_map<ll, ll> ret, rev; rep(i, ca.size()) { ret[a[i]] = ca[i]; rev[ca[i]] = a[i]; } return mp(ret, rev); }
template<class T, class U> bool chmin(T &a, const U &b) { if (b < a) { a = b; return 1;} return 0; }
template<class T, class U> bool chmax(T &a, const U &b) { if (b > a) { a = b; return 1;} return 0; }
template<class T> int lbs(vector<T> &a, const T &b) { return lower_bound(all(a), b) - a.begin(); };
template<class T> int ubs(vector<T> &a, const T &b) { return upper_bound(all(a), b) - a.begin(); };
ll binary_search(function<bool(ll)> check, ll ok, ll ng, bool safe=true) { if (safe) { assert(check(ok)); assert(!check(ng)); } while (abs(ok - ng) > 1) { auto x = (ng + ok) / 2; if (check(x)) ok = x; else ng = x; } return ok; }
template<class T> vector<T> csum(vector<T> &a) { vector<T> ret(a.size() + 1, 0); rep(i, a.size()) ret[i + 1] = ret[i] + a[i]; return ret; }
template<class S> vector<pair<S, int>> RLE(const vector<S> &v) { vector<pair<S, int>> res; for(auto &e : v) if(res.empty() or res.back().first != e) res.emplace_back(e, 1); else res.back().second++; return res; }
vector<pair<char, int>> RLE(const string &v) { vector<pair<char, int>> res; for(auto &e : v) if(res.empty() or res.back().first != e) res.emplace_back(e, 1); else res.back().second++; return res; }
template <class T, class S, class U> bool incl(const T &x, const S &l, const U &r) { return l <= x and x < r; }
void change_bit(ll &x, int b, int i) { assert(b < 63); if (!!(x & 1ll << b) ^ i) x ^= 1ll << b;  }
bool is_palindrome(string s) { rep(i, (s.size() + 1) / 2) if (s[i] != s[s.size() - 1 - i]) { return false; } return true; }
// グラフ系
template< typename T = ll > struct Edge {
  int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}
  operator int() const { return to; } bool operator<(const struct Edge& other) const { return cost < other.cost; } };
template< typename T = ll > struct Graph {
  vector< vector< Edge< T > > > g; int es; Graph() = default; explicit Graph(int n) : g(n), es(0) {}
  size_t size() const { return g.size(); }
  void add_directed_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es++); }
  void add_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es); g[to].emplace_back(to, from, cost, es++); }
  inline vector< Edge< T > > &operator[](const int &k) { return g[k]; } inline const vector< Edge< T > > &operator[](const int &k) const { return g[k]; } };
const string drul = "DRUL"; const vl dx = {1, 0, -1, 0}, dy = {0, 1, 0, -1};

ll solve(ll n, vl a) {
  ll ans = n - a[0]; return ans;
}

ll naive(ll n, vl a) {
  ll ans = n + a[0]; return ans;
}

void compare(bool check = true) { RandGen rg; ll c = 0, loop = 10;
  while (++c) { if (c % loop == 0) cout << "reached " << c / loop << "loop" <<  "\n", cout.flush();
    ll n = 10;
    vl a = rg.vecl(n, 1, 1e2);
    auto so = solve(n, a); auto na = naive(n, a);
    if (!check || na != so) { cout << c << "times tried" << "\n";
      debug(n, a); debug(so); debug(na);
    if (check || (!check && c > loop)) break; }
  }
}

vl ans = {353412483,499853409,198066141,65944976,0,0,83359314,197704749,499956396,461596998,499924557,250031589,66025737,0,0,65922195,197880351,395804754,461671050,395752629,197825844,65951319,0,0,65936360,197777304,499639056,583029498,395715012,249552855,66073349,0,0,66026043,197876565,395514645,582863367,303214194,249900573,66080034,0,0,65941840,249952551,395548158,583092006,395796816,250096923,83408904,0,0,83352606,197785611,395734917,461688090,395834907,197910177,65958885,0,0,83129445,197879421,395601315,583179990,499975596,197894460,83217288,0,0,65851552,197977152,395723337,461598072,499492386,151682058,83391159,0,0,65982393,197810568,499698792,461615477,499465320,197929308,83479962,0,0,66034772,249868407,395609340,461586120,395850384,197943681,65989561,0,0,66018201,249605913,395763186,461545017,500244135,250121904,65992770,0,0,83439696,197582427,395906010,461534357,395972283,249747105,50667829,0,0,65970890,197840178,395783145,582714366,395839320,249607272,66034569,0,0,65970813,197862537,499837770,461586033,395704725,197937468,66025153,0,0,65971953,197855130,499324197,461779937,395694588,250272546,83394459,0,0,65931391,250137234,395347209,461799958,395664129,198104688,83187177,0,0,65844093,197915487,395640954,461877100,499267476,197996145,83116794,0,0,83077128,197816517,395716419,583089981,395680647,197847309,66034770,0,0,65927544,197856531,395729877,582755274,395784210,197870754,83518725,0,0,83482623,197741811,500063223,461407793,395845749,197818044,66124482,0,0,83419152,197585898,395806743,461487779,396117981,249519294,66035306,0,0,83193621,249380424,395683833,461503212,500027589,197855943,65988450,0,0,65930507,197764092,395690775,461566449,499518105,197901777,65986020,0,0,65933772,250096410,395624835,583102701,395703927,197915679,65987298,0,0,50523021,249970845,395405595,461756184,395565168,198146163,83144547,0,0,65983467,249543381,499087524,461617473,395695518,250057275,65957211,0,0,65974043,197782437,395546595,461593956,395765376,249800436,65946828,0,0,83100603,197759865,499933236,461658190,499637970,197937693,65994989,0,0,83165199,151389405,499921449,461545845,395752965,197762508,66111248,0,0,83355123,197818980,499370913,582628467,395794911,197844207,83457036,0,0,66017907,197835168,395622237,461486226,395661093,197892921,83237010,0,0,83211351,249550986,395580453,582788094,395923029,249712644,66025575,0,0,65897514,249726033,302922846,583014219,395884293,197863206,65933645,0,0,65893369,250099782,395686374,582793884,499733808,197928006,66021523,0,0,66010887,197890128,395726169,461611814,395609376,197826183,66037128,0,0,65941779,249662991,499401411,461547663,499391031,198039087,83234613,0,0,66018343,197644773,499469412};

void solve() {
  LL(a);
  OUT(ans[a % 333]);
  return;
  vl cnt(333);
  ll ma = 4445;

  vl p4(5000), p3(5000), p3m3(5000);
  rep(i, 1, 5000) {
    p3[i] = i * i * i;
    p3m3[i] = p3[i] % 333;
    p4[i] = p3[i] * i;
  }

  vv(ll, dp, 5000, 333);
  rep(i, 1, 5000) {
    dp[i] = dp[i - 1];
    dp[i][p3m3[i]]++;
  }

  rep(x, 1, ma) rep(y, 1, ma) {
    if (p4[x] + p4[y] > p4[4444]) continue;
    ll r = binary_search([&](ll mid) {
      return p4[x] + p4[y] + p4[mid] <= p4[4444];
    }, 0, 4500);
    rep(i, 333) cnt[(i + p3[x] + p3[y]) % 333] += dp[r][i];
    if (y % 1000 == 0) {
      debug(x, y);
      cout.flush();
    }
  }
  debug(cnt);
}

signed main() {
  cin.tie(0)->sync_with_stdio(0); cout.tie(0); cout << fixed << setprecision(20);
  int t = 1; // cin >> t;
  while (t--) solve();
  // while (t--) compare();
}
0