結果

問題 No.1112 冥界の音楽
ユーザー もりをもりを
提出日時 2020-07-10 22:53:43
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 1,300 ms / 2,000 ms
コード長 9,400 bytes
コンパイル時間 3,507 ms
コンパイル使用メモリ 235,924 KB
実行使用メモリ 14,700 KB
最終ジャッジ日時 2023-08-01 18:56:14
合計ジャッジ時間 15,386 ms
ジャッジサーバーID
(参考情報)
judge13 / judge12
このコードへのチャレンジ(β)

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 271 ms
11,900 KB
testcase_01 AC 3 ms
4,572 KB
testcase_02 AC 2 ms
4,380 KB
testcase_03 AC 3 ms
4,548 KB
testcase_04 AC 3 ms
4,548 KB
testcase_05 AC 3 ms
4,616 KB
testcase_06 AC 1,292 ms
14,564 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 8 ms
6,300 KB
testcase_09 AC 271 ms
11,992 KB
testcase_10 AC 3 ms
4,720 KB
testcase_11 AC 272 ms
12,052 KB
testcase_12 AC 3 ms
4,596 KB
testcase_13 AC 1,294 ms
14,532 KB
testcase_14 AC 1,298 ms
14,700 KB
testcase_15 AC 271 ms
11,956 KB
testcase_16 AC 2 ms
4,380 KB
testcase_17 AC 270 ms
12,008 KB
testcase_18 AC 271 ms
12,060 KB
testcase_19 AC 2 ms
4,376 KB
testcase_20 AC 44 ms
8,812 KB
testcase_21 AC 1,293 ms
14,700 KB
testcase_22 AC 1,292 ms
14,524 KB
testcase_23 AC 270 ms
11,948 KB
testcase_24 AC 2 ms
4,376 KB
testcase_25 AC 2 ms
4,376 KB
testcase_26 AC 3 ms
4,656 KB
testcase_27 AC 3 ms
4,612 KB
testcase_28 AC 8 ms
6,608 KB
testcase_29 AC 2 ms
4,376 KB
testcase_30 AC 270 ms
11,960 KB
testcase_31 AC 8 ms
6,336 KB
testcase_32 AC 271 ms
11,992 KB
testcase_33 AC 3 ms
4,568 KB
testcase_34 AC 2 ms
4,376 KB
testcase_35 AC 3 ms
4,608 KB
testcase_36 AC 1,300 ms
14,524 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 target ("avx")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#include <bits/stdc++.h>
using namespace std;
// #define int long long
// #define endl '\n'

#pragma region TEMPLATE

/* TYPE */
typedef long long ll;       typedef long double ld;
typedef pair<int, int> pii; typedef pair<ll, ll> pll;
typedef vector<pii> vpii;   typedef vector<pll> vpll;
typedef vector<int> vi;     typedef vector<ll> vl;
typedef vector<string> vst; typedef vector<bool> vb;
typedef vector<ld> vld;     typedef vector<vector<int>> vvi;
template<typename T, typename Cmp = less<>> using prique = priority_queue<T, vector<T>, Cmp>;
template<typename T> using prique_r = prique<T, greater<>>;
/* CONSTANT */
#define ln '\n'
const int INF = 1 << 30;    const ll INFF = 1LL << 60;  const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const int MOD = 1e9 + 7;    const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const double EPS = 1e-9;    const ld PI = 3.14159265358979323846264338327950288;
const int dx[] = { 1, 0, -1,  0,  1, -1, -1, 1, 0 };
const int dy[] = { 0, 1,  0, -1, -1, -1,  1, 1, 0 };
/* CONTAINER */
#define PB              emplace_back
#define ALL(v)          (v).begin(), (v).end()
#define RALL(v)         (v).rbegin(), (v).rend()
#define SORT(v)         sort(ALL(v))
#define RSORT(v)        sort(RALL(v))
#define LESS(x, val)    (lower_bound(x.begin(), x.end(), val) - x.begin())
#define LEQ(x, val)     (upper_bound(x.begin(), x.end(), val) - x.begin())
#define GREATER(x, val) (int)(x).size() - LEQ((x), (val))
#define GEQ(x, val)     (int)(x).size() - LESS((x), (val))
#define UNIQUE(v)       sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end())
template<typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...)); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value != 0> fill_v(U &u, const V... v) { u = U(v...); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v<T>(e, v...); }
/* LOOP */
#define _overload3(_1, _2, _3, name, ...) name
#define _REP(i, n)      REPI(i, 0, n)
#define REPI(i, a, b)   for (ll i = (ll)a; i < (ll)b; ++i)
#define REP(...)        _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__)
#define _RREP(i, n)     RREPI(i, n, 0)
#define RREPI(i, a, b)  for (ll i = (ll)a; i >= (ll)b; --i)
#define RREP(...)       _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__)
#define EACH(e, v)      for (auto& e : v)
#define PERM(v)         sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v)))
/* INPUT */
template<typename T> void SSS(T& t) { cin >> t; }
template<typename Head, typename... Tail> void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); }
#define SS(T, ...)      T __VA_ARGS__; SSS(__VA_ARGS__);
#define SV(T, v, n)     vector<T> v(n); for (auto& i : v) cin >> i;
#define SVV(T, v, n, m) vector<vector<T>> v(n, vector<T>(m)); for (auto& r : v) for (auto& i : r) cin >> i;
/* OUTPUT */
// Yes / No
inline int YES(bool x) { cout << (x ? "YES"  : "NO") << endl; return 0; }
inline int Yes(bool x) { cout << (x ? "Yes"  : "No") << endl; return 0; }
inline int yes(bool x) { cout << (x ? "yes"  : "no") << endl; return 0; }
inline int yES(bool x) { cout << (x ? "yES"  : "nO") << endl; return 0; }
inline int Yay(bool x) { cout << (x ? "Yay!" : ":(") << endl; return 0; }
// PROTOTYPE DECLARATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j);
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t);
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os, const C &c);
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j);
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j);
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j);
// IMPLEMENTATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j) { return os << '{' << j.first << ", " << j.second << '}'; }
template<size_t num = 0, typename... T> enable_if_t<num == sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) {}
template<size_t num = 0, typename... T> enable_if_t<num <  sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) { os << get<num>(t); if (num + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE<num + 1>(os, t); }
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { PRINT_TUPLE(os << '{', t); return os << '}'; }
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)>> ostream& operator<<(ostream &os, const C &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; }
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top());  return os << d; }
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); return os << d; }
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top());  return os << d; }
// OUTPUT FUNCTION
template<typename T> int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; }
inline int print() { cout << endl; return 0; }
template<typename Head> int print(Head&& head){ cout << head; return print(); }
template<typename Head, typename... Tail> int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward<Tail>(tail)...); }
#ifdef LOCAL
inline void dump() { cerr << endl; }
template<typename Head> void dump(Head&& head) { cerr << head; dump(); }
template<typename Head, typename... Tail> void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward<Tail>(tail)...); }
#define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false)
#else
#define dump(...)
#define debug(...)
#endif
/* OTHER */
#define fi              first
#define se              second
#define MP              make_pair
#define MT              make_tuple
#define tmax(x, y, z)   max((x), max((y), (z)))
#define tmin(x, y, z)   min((x), min((y), (z)))
template<typename T, typename A, typename B> inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); }
template<typename A, typename B> inline bool chmax(A &a, const B &b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A &a, const B &b) { if (a > b) { a = b; return true; } return false; }
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1)  r *= a; a *= a; } while (b >>= 1); return r; }
struct abracadabra {
    abracadabra() {
        cin.tie(nullptr); ios::sync_with_stdio(false);
        cout << fixed << setprecision(20);
        cerr << fixed << setprecision(5);
    };
} ABRACADABRA;

#pragma endregion

int dp[100][6][6][6][6][6][6];
int init[6][6][6], nxt[6][6][6];
bool ok[6][6][6];

signed main() {

    SS(int, K, M);
    SS(ll, N);

    vector<tuple<int, int, int>> frm, to;
    REP(i, M) {
        SS(int, P, Q, R);
        --P, --Q, --R;
        ok[P][Q][R] = true;
        if (P == 0) {
            frm.emplace_back(P, Q, R);
            init[P][Q][R] = 1;
        }
        if (R == 0) to.emplace_back(P, Q, R);
    }

    // 2^0個すすめるとき
    REP(i, K) REP(j, K) REP(k, K) {
        if (not ok[i][j][k]) continue;
        REP(l, K) {
            if (not ok[j][k][l]) continue;
            dp[0][i][j][k][j][k][l] = 1;
        }
    }

    REP(m, 1, 61) {
        // 2^m個進めるとき
        // -> 2^(m-1)進めて, 2^(m-1)進める
        REP(p1, K) REP(q1, K) REP(r1, K) {
            REP(p2, K) REP(q2, K) REP(r2, K) {
                REP(p3, K) REP(q3, K) REP(r3, K) {
                    dp[m][p1][q1][r1][p3][q3][r3] += (ll(dp[m - 1][p1][q1][r1][p2][q2][r2]) * dp[m - 1][p2][q2][r2][p3][q3][r3]) % MOD;
                    if (dp[m][p1][q1][r1][p3][q3][r3] > MOD) dp[m][p1][q1][r1][p3][q3][r3] -= MOD;
                }
            }
        }
    }

    N -= 3;
    RREP(i, 60) if (N >> i & 1) {
        REP(p, 6) REP(q, 6) REP(r, 6) nxt[p][q][r] = 0;
        REP(p1, K) REP(q1, K) REP(r1, K) {
            REP(p2, K) REP(q2, K) REP(r2, K) {
                nxt[p2][q2][r2] += (ll(dp[i][p1][q1][r1][p2][q2][r2]) * init[p1][q1][r1]) % MOD;
                if (nxt[p2][q2][r2] > MOD) nxt[p2][q2][r2] -= MOD;
            }
        }
        REP(p, 6) REP(q, 6) REP(r, 6) init[p][q][r] = nxt[p][q][r];
    }

    int res = 0;
    for (auto& [p, q, r]: to) {
        res += init[p][q][r];
        if (res > MOD) res -= MOD;
    }
    // REP(p, 6) REP(q, 6) REP(r, 6) debug(init[p][q][r]);
    print(res);

}
0