結果
| 問題 | No.1392 Don't be together |
| ユーザー |
 otera
|
| 提出日時 | 2021-02-12 23:09:43 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
MLE
|
| 実行時間 | - |
| コード長 | 10,909 bytes |
| コンパイル時間 | 2,629 ms |
| コンパイル使用メモリ | 220,652 KB |
| 実行使用メモリ | 601,752 KB |
| 最終ジャッジ日時 | 2024-07-20 00:41:36 |
| 合計ジャッジ時間 | 10,734 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
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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 | MLE | - |
| testcase_01 | MLE | - |
| testcase_02 | MLE | - |
| testcase_03 | MLE | - |
| testcase_04 | MLE | - |
| testcase_05 | MLE | - |
| testcase_06 | MLE | - |
| testcase_07 | MLE | - |
| testcase_08 | MLE | - |
| testcase_09 | MLE | - |
| testcase_10 | MLE | - |
| testcase_11 | MLE | - |
| testcase_12 | MLE | - |
| testcase_13 | MLE | - |
| testcase_14 | MLE | - |
| testcase_15 | MLE | - |
| testcase_16 | MLE | - |
| testcase_17 | MLE | - |
| testcase_18 | MLE | - |
| testcase_19 | MLE | - |
| testcase_20 | MLE | - |
| testcase_21 | MLE | - |
| testcase_22 | MLE | - |
| testcase_23 | MLE | - |
| testcase_24 | MLE | - |
| testcase_25 | MLE | - |
| testcase_26 | MLE | - |
| testcase_27 | MLE | - |
| testcase_28 | MLE | - |
| testcase_29 | MLE | - |
ソースコード
/**
* author: otera
* created: 12.02.2021 22:28:34
**/
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;
using uint = unsigned;
const int inf=1e9+7;
const ll INF=1LL<<60;
#define rep(i, n) for(int i = 0; i < n; ++ i)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef pair<int, int> P;
typedef pair<ll, ll> LP;
#define pb push_back
#define eb emplace_back
#define fr first
#define sc second
#define all(c) c.begin(),c.end()
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define Sort(a) sort(all(a))
#define Rev(a) reverse(all(a))
#define Uniq(a) sort(all(a));a.erase(unique(all(a)),end(a))
#define si(c) (int)(c).size()
inline ll popcnt(ull a){ return __builtin_popcountll(a); }
#define tpow(n) (1LL<<(n))
#define unless(A) if(!(A))
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;in(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;in(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;in(__VA_ARGS__)
#define vec(type,name,...) vector<type>name(__VA_ARGS__)
#define VEC(type,name,size) vector<type>name(size);in(name)
#define vv(type,name,h,...) vector<vector<type>>name(h,vector<type>(__VA_ARGS__))
#define VV(type,name,h,w) vector<vector<type>>name(h,vector<type>(w));in(name)
#define vvv(type,name,h,w,...) vector<vector<vector<type>>>name(h,vector<vector<type>>(w,vector<type>(__VA_ARGS__)))
template <class T> using vc = vector<T>;
template <class T> using vvc = vector<vc<T>>;
template <class T> using vvvc = vector<vvc<T>>;
template <class T> using vvvvc = vector<vvvc<T>>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
template<class T> void scan(T& a){ cin >> a; }
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...); }
void print(){ cout << ' '; }
template<class T> void print(const T& a){ cout << a; }
template<class T> void print(const vector<T>& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout << ' '; print(*i); } }
int out(){ cout << '\n'; return 0; }
template<class T> int out(const T& t){ print(t); cout << '\n'; return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); cout << ' '; out(tail...); return 0; }
#define CHOOSE(a) CHOOSE2 a
#define CHOOSE2(a0,a1,a2,a3,a4,x,...) x
#define debug_1(x1) cout<<#x1<<": "<<x1<<endl
#define debug_2(x1,x2) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<endl
#define debug_3(x1,x2,x3) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<endl
#define debug_4(x1,x2,x3,x4) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<endl
#define debug_5(x1,x2,x3,x4,x5) cout<<#x1<<": "<<x1<<", "#x2<<": "<<x2<<", "#x3<<": "<<x3<<", "#x4<<": "<<x4<<", "#x5<<": "<<x5<<endl
#ifdef DEBUG
#define debug(...) CHOOSE((__VA_ARGS__,debug_5,debug_4,debug_3,debug_2,debug_1,~))(__VA_ARGS__)
#define dump(...) { print(#__VA_ARGS__); print(":"); out(__VA_ARGS__); }
#else
#define debug(...)
#define dump(...)
#endif
#define int long long
// modint: mod 計算を int を扱うように扱える構造体
template<int MOD> struct Fp {
long long val;
constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
if (val < 0) val += MOD;
}
constexpr int getmod() { return MOD; }
constexpr Fp operator - () const noexcept {
return val ? MOD - val : 0;
}
constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
constexpr Fp& operator += (const Fp& r) noexcept {
val += r.val;
if (val >= MOD) val -= MOD;
return *this;
}
constexpr Fp& operator -= (const Fp& r) noexcept {
val -= r.val;
if (val < 0) val += MOD;
return *this;
}
constexpr Fp& operator *= (const Fp& r) noexcept {
val = val * r.val % MOD;
return *this;
}
constexpr Fp& operator /= (const Fp& r) noexcept {
long long a = r.val, b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b; swap(a, b);
u -= t * v; swap(u, v);
}
val = val * u % MOD;
if (val < 0) val += MOD;
return *this;
}
constexpr bool operator == (const Fp& r) const noexcept {
return this->val == r.val;
}
constexpr bool operator != (const Fp& r) const noexcept {
return this->val != r.val;
}
friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept {
return os << x.val;
}
friend constexpr istream& operator >> (istream &is, Fp<MOD>& x) noexcept {
return is >> x.val;
}
friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept {
if (n == 0) return 1;
auto t = modpow(a, n / 2);
t = t * t;
if (n & 1) t = t * a;
return t;
}
};
// 二項係数ライブラリ
template<class T> struct BiCoef {
vector<T> fact_, inv_, finv_;
constexpr BiCoef() {}
constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
init(n);
}
constexpr void init(int n) noexcept {
fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
int MOD = fact_[0].getmod();
for(int i = 2; i < n; i++){
fact_[i] = fact_[i-1] * i;
inv_[i] = -inv_[MOD%i] * (MOD/i);
finv_[i] = finv_[i-1] * inv_[i];
}
}
constexpr T com(int n, int k) const noexcept {
if(n == k) return 1;
if (n < k || n < 0 || k < 0) return 0;
return fact_[n] * finv_[k] * finv_[n-k];
}
constexpr T fact(int n) const noexcept {
if (n < 0) return 0;
return fact_[n];
}
constexpr T inv(int n) const noexcept {
if (n < 0) return 0;
return inv_[n];
}
constexpr T finv(int n) const noexcept {
if (n < 0) return 0;
return finv_[n];
}
};
//const int MOD = 1000000007;
const int MOD = 998244353;
using mint = Fp<MOD>;
BiCoef<mint> bc;
struct UnionFind {
vector<int> par, w;
UnionFind(int n) : par(n, -1), w(n, 0) { }
void init(int n) { par.assign(n, -1); w.assign(n, 0); }
int root(int x) {
if (par[x] < 0) return x;
else return par[x] = root(par[x]);
}
bool issame(int x, int y) {
return root(x) == root(y);
}
bool merge(int x, int y) {
x = root(x); y = root(y);
if (x == y) {
++w[x];
return false;
}
if (par[x] > par[y]) swap(x, y); // merge technique
par[x] += par[y];
par[y] = x;
w[x] += w[y];
++w[x];
return true;
}
int size(int x) {
return -par[root(x)];
}
int wei(int x) {
return w[root(x)];
}
};
mint dp[5050][5050][2];
mint sdp[5050][5050];
void solve() {
INT(n, m);
VEC(int, p, n);
vec(int, deg, n, 0);
vvc<int> g(n, vc<int>());
UnionFind uf(n);
int cnt2 = n;
rep(i, n) {
-- p[i];
++ deg[i], ++ deg[p[i]];
g[i].pb(p[i]);
g[p[i]].pb(i);
if(uf.merge(i, p[i])) -- cnt2;
}
queue<int> que;
vc<bool> used(n, 0);
rep(i, n) if(deg[i] == 1) que.push(i);
int cnt = n;
while(que.size()) {
int v = que.front(); que.pop();
used[v] = 1;
-- cnt;
for(int nv: g[v]) {
if(deg[nv] > 1) {
-- deg[nv];
if(deg[nv] == 1) {
que.push(nv);
}
}
}
}
debug(cnt, cnt2);
// cnt個で構成された閉路
rep(i, 5050) rep(j, 5050) rep(k, 2) dp[i][j][k] = 0;
rep(i, 5050) rep(j, 5050) sdp[i][j] = 0;
// dp[1][1][1] = 1;
// for(int i = 1; i <= cnt; ++ i) {
// for(int j = 1; j <= i; ++ j) {
// dp[i + 1][j + 1][0] += dp[i][j][0] + dp[i][j][1];
// dp[i + 1][j][1] += dp[i][j][0];
// dp[i + 1][j][0] += dp[i][j][1] * (j - 1);
// if(j >= 2) dp[i + 1][j][0] += dp[i][j][0] * (j - 2);
// }
// }
// for(int j = 1; j <= cnt; ++ j) {
// sdp[cnt][j] = dp[cnt][j][0];
// }
int cnt3 = 0;
auto dfs = [&](auto &&self, int v) -> void {
used[v] = 1;
++ cnt3;
for(int nv: g[v]) {
if(!used[nv]) self(self, nv);
}
};
int cur = 0;
sdp[0][0] = 1;
rep(v, n) {
if(!used[v]) {
cnt3 = 0;
dfs(dfs, v);
debug(cnt3, cur);
// cnt3個ののloop
for(int j = 0; j <= cur; ++ j) {
dp[cur + 1][j][1] += sdp[cur][j] * j;
dp[cur + 1][j + 1][1] += sdp[cur][j];
}
//
for(int i = 1; i < cnt3; ++ i) {
for(int j = 0; j <= cur + i; ++ j) {
dp[cur + i + 1][j + 1][0] += dp[cur + i][j][0] + dp[cur + i][j][1];
dp[cur + i + 1][j][1] += dp[cur + i][j][0];
dp[cur + i + 1][j][0] += dp[cur + i][j][1] * (j - 1);
if(j >= 2) dp[cur + i + 1][j][0] += dp[cur + i][j][0] * (j - 2);
}
}
//
cur += cnt3;
for(int j = 0; j <= cur; ++ j) {
sdp[cur][j] = dp[cur][j][0];
//debug(sdp[cur][j]);
}
}
}
debug(cur);
// n - cnt個で構成された木の部分
for(int i = cnt; i < n; ++ i) {
for(int j = 0; j <= i; ++ j) {
sdp[i + 1][j + 1] += sdp[i][j];
sdp[i + 1][j] += sdp[i][j] * (j - 1);
}
}
out(sdp[n][m]);
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
// cout << fixed << setprecision(20);
// INT(t); rep(i, t)solve();
solve();
return 0;
}