結果

問題 No.1227 I hate ThREE
ユーザー Shuz*Shuz*
提出日時 2020-09-11 22:49:02
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 155 ms / 2,000 ms
コード長 10,431 bytes
コンパイル時間 1,937 ms
コンパイル使用メモリ 180,296 KB
実行使用メモリ 42,368 KB
最終ジャッジ日時 2024-06-10 14:35:36
合計ジャッジ時間 3,492 ms
ジャッジサーバーID
(参考情報)
judge3 / judge2
このコードへのチャレンジ
(要ログイン)

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
6,812 KB
testcase_01 AC 2 ms
6,944 KB
testcase_02 AC 2 ms
6,944 KB
testcase_03 AC 8 ms
7,936 KB
testcase_04 AC 8 ms
8,064 KB
testcase_05 AC 6 ms
7,296 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 3 ms
6,944 KB
testcase_09 AC 3 ms
6,940 KB
testcase_10 AC 3 ms
6,944 KB
testcase_11 AC 6 ms
7,424 KB
testcase_12 AC 6 ms
7,680 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 4 ms
6,944 KB
testcase_15 AC 4 ms
6,940 KB
testcase_16 AC 5 ms
6,940 KB
testcase_17 AC 4 ms
6,940 KB
testcase_18 AC 7 ms
6,944 KB
testcase_19 AC 6 ms
6,940 KB
testcase_20 AC 7 ms
6,940 KB
testcase_21 AC 2 ms
6,940 KB
testcase_22 AC 6 ms
6,940 KB
testcase_23 AC 149 ms
41,088 KB
testcase_24 AC 94 ms
29,440 KB
testcase_25 AC 155 ms
42,368 KB
testcase_26 AC 9 ms
7,936 KB
testcase_27 AC 9 ms
8,192 KB
testcase_28 AC 10 ms
8,320 KB
testcase_29 AC 9 ms
8,064 KB
testcase_30 AC 9 ms
8,320 KB
testcase_31 AC 8 ms
7,808 KB
testcase_32 AC 9 ms
8,064 KB
testcase_33 AC 8 ms
7,808 KB
testcase_34 AC 8 ms
8,064 KB
testcase_35 AC 8 ms
7,808 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 #

#include <bits/stdc++.h>
using namespace std;
// #pragma GCC target("arch=skylake-avx512")
// export CPLUS_INCLUDE_PATH="/Users/shuzaei/Desktop/ac-library"
// /usr/bin/env python3 "/Users/shuzaei/Desktop/ac-library/expander.py"
// /Users/shuzaei/Desktop/Solve.cpp
// #include <atcoder/all>
// using namespace atcoder;

#pragma region template

// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template <class T> using pvector = vector<pair<T, T>>;
template <class T> using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
constexpr const ll dx[4] = {1, 0, -1, 0};
constexpr const ll dy[4] = {0, 1, 0, -1};
constexpr const ll MOD = 1e9 + 7;
constexpr const ll mod = 998244353;
constexpr const ll INF = 1LL << 60;
constexpr const ll inf = 1 << 30;
constexpr const char rt = '\n';
constexpr const char sp = ' ';
#define rt(i, n) (i == (ll)(n) -1 ? rt : sp)
#define len(x) ((ll)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define ifn(x) if (not(x))
#define elif else if
#define elifn else ifn
#define fi first
#define se second
#define uniq(x) (sort(all(x)), (x).erase(unique(all(x)), (x).end()))
#define bis(x, y) ((ll)(lower_bound(all(x), y) - (x).begin()))

using graph = vector<vector<ll>>;
template <class T> using wgraph = vector<vector<pair<ll, T>>>;
bool __DIRECTED__ = true;
bool __ZERO_INDEXED__ = false;
istream &operator>>(istream &is, graph &g) {
    ll a, b;
    is >> a >> b;
    if (__ZERO_INDEXED__ == false) a--, b--;
    g[a].pb(b);
    if (__DIRECTED__ == false) g[b].pb(a);
    return is;
}
template <class T> istream &operator>>(istream &is, wgraph<T> &g) {
    ll a, b;
    T c;
    is >> a >> b >> c;
    if (__ZERO_INDEXED__ == false) a--, b--;
    g[a].pb({b, c});
    if (__DIRECTED__ == false) g[b].pb({a, c});
    return is;
}

template <class T> bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T> bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return 1;
    }
    return 0;
}

// Debug
#define debug(...)                                                                                 \
    {                                                                                              \
        cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ";                                         \
        for (auto &&__i : {__VA_ARGS__}) cerr << "[" << __i << "] ";                               \
        cerr << rt;                                                                                \
    }

#define dumpi(a, h, w)                                                                             \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                                            \
        rep(__i, h) {                                                                              \
            if (__i) cerr << ",\n";                                                                \
            cerr << "[";                                                                           \
            rep(__j, w) {                                                                          \
                if (__j) cerr << ", ";                                                             \
                if (abs(a[__i][__j]) >= INF / 2 and a[__i][__j] <= -INF / 2) cerr << '-';          \
                if (abs(a[__i][__j]) >= INF / 2) cerr << "∞";                                      \
                else                                                                               \
                    cerr << a[__i][__j];                                                           \
            }                                                                                      \
            cerr << "]" << rt;                                                                     \
        }                                                                                          \
        cerr << "\n]" << rt;                                                                       \
    }

#define vdumpi(a, n)                                                                               \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [";                                                  \
        rep(__i, n) {                                                                              \
            if (__i) cerr << ", ";                                                                 \
            if (abs(a[__i]) >= INF / 2 and a[__i] <= -INF / 2) cerr << '-';                        \
            if (abs(a[__i]) >= INF / 2) cerr << "∞";                                               \
            else                                                                                   \
                cerr << a[__i];                                                                    \
        }                                                                                          \
        cerr << "]" << rt;                                                                         \
    }

#define dump(a, h, w)                                                                              \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                                            \
        rep(__i, h) {                                                                              \
            if (__i) cerr << ",\n";                                                                \
            cerr << "[";                                                                           \
            rep(__j, w) {                                                                          \
                if (__j) cerr << ", ";                                                             \
                cerr << a[__i][__j];                                                               \
            }                                                                                      \
            cerr << "]";                                                                           \
        }                                                                                          \
        cerr << "\n]" << rt;                                                                       \
    }

#define vdump(a, n)                                                                                \
    {                                                                                              \
        cerr << __LINE__ << ": " << #a << " = [";                                                  \
        rep(__i, n) {                                                                              \
            if (__i) cerr << ", ";                                                                 \
            cerr << a[__i];                                                                        \
        }                                                                                          \
        cerr << "]" << rt;                                                                         \
    }

template <class S, class T> istream &operator>>(istream &is, pair<S, T> &p) {
    is >> p.first >> p.second;
    return is;
}
template <class S, class T> ostream &operator<<(ostream &os, const pair<S, T> &p) {
    os << p.first << ' ' << p.second;
    return os;
}

// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)

// Stream
#define fout(n) cout << fixed << setprecision(n)
struct io {
    io() { cin.tie(nullptr), ios::sync_with_stdio(false); }
} io;

// Speed
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("Ofast,unroll-loops")

// Math
inline constexpr ll gcd(const ll a, const ll b) { return b ? gcd(b, a % b) : a; }
inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; }

inline constexpr ll modulo(const ll n, const ll m = MOD) {
    ll k = n % m;
    return k + m * (k < 0);
}
inline constexpr ll chmod(ll &n, const ll m = MOD) {
    n %= m;
    return n += m * (n < 0);
}
inline constexpr ll mpow(ll a, ll n, const ll m = MOD) {
    ll r = 1;
    rep(i, 64) {
        if (n & (1LL << i)) r *= a;
        chmod(r, m);
        a *= a;
        chmod(a, m);
    }
    return r;
}
inline ll inv(const ll n, const ll m = MOD) {
    ll a = n, b = m, x = 1, y = 0;
    while (b) {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        x -= t * y;
        swap(x, y);
    }
    return modulo(x, m);
}

#pragma endregion

graph G;
ll dfs1(ll t = 0, ll p = -1) {
    ll x = 0;
    each(i, G[t]) if (i != p) chmax(x, dfs1(i, t) + 1);
    return x;
}

ll mem[1000][6001], K;
ll dfs2(ll t = 0, ll num = 0, ll p = -1) {
    if (mem[t][num]) return mem[t][num];
    ll res = 1;
    each(i, G[t]) if (i != p) {
        ll sum = 0;
        if (num - 3 > 0) sum += dfs2(i, num - 3, t), sum %= MOD;
        sum += dfs2(i, num + 3, t), sum %= MOD;
        res *= sum, res %= MOD;
    }
    return mem[t][num] = res;
}

ll dfs3(ll t, ll num, ll p = -1) {
    if (mem[t][num]) return mem[t][num];
    ll res = 1;
    each(i, G[t]) if (i != p) {
        ll sum = 0;
        if (num - 3 > 0) sum += dfs3(i, num - 3, t), sum %= MOD;
        if (num + 3 <= K) sum += dfs3(i, num + 3, t), sum %= MOD;
        res *= sum, res %= MOD;
    }
    return mem[t][num] = res;
}

signed main() {
    ll N;
    cin >> N >> K;
    G.resize(N), __DIRECTED__ = false;
    rep(i, N - 1) cin >> G;
    ll x = dfs1(), res = 0;
    if (K < 6 * x) {
        ll res = 0;
        inc(i, 1, K) res += dfs3(0, i);
        cout << res % MOD << rt;
    } else {
        ll res = 0;
        inc(i, 1, 3 * x) res += dfs2(0, i);
        cout << (2 * res + (K - 6 * x) * mpow(2, N - 1)) % MOD << rt;
    }
}
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