結果
| 問題 | No.1750 ラムドスウイルスの感染拡大-hard |
| ユーザー |
 mtsd
|
| 提出日時 | 2021-11-19 22:37:24 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 180 ms / 2,000 ms |
| コード長 | 20,445 bytes |
| コンパイル時間 | 2,159 ms |
| コンパイル使用メモリ | 176,796 KB |
| 実行使用メモリ | 6,820 KB |
| 最終ジャッジ日時 | 2025-01-01 19:48:21 |
| 合計ジャッジ時間 | 5,605 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 4 |
| other | AC * 30 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define inf 1000000007
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define fi first
#define se second
#define rep(i,n) for(int i = 0; i < (int)(n); ++i)
#define rrep(i,n) for(int i = (int)n-1; i >= 0; --i)
#define srep(i,a,b) for(int i = (int)a; i < (int)(b); ++i)
#define all(x) (x).begin(),(x).end()
#define SUM(v) accumulate(all(v), 0LL)
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#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 UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
#define SZ(c) (int)(c).size()
template<typename T>
ostream& operator << (ostream& os, vector<T>& vec) {
os << "{";
for (int i = 0; i<(int)vec.size(); i++) {
os << vec[i] << (i + 1 == (int)vec.size() ? "" : ", ");
}
os << "}";
return os;
}
// pair出力
template<typename T, typename U>
ostream& operator << (ostream& os, pair<T, U> pair_var) {
os << "(" << pair_var.first << ", " << pair_var.second << ")";
return os;
}
// map出力
template<typename T, typename U>
ostream& operator << (ostream& os, map<T, U>& map_var) {
os << "{";
for(auto itr = map_var.begin(); itr != map_var.end(); itr++){
os << "(" << itr->first << ", " << itr->second << ")";
itr++;
if(itr != map_var.end()) os << ", ";
itr--;
}
os << "}";
return os;
}
// set 出力
template<typename T>
ostream& operator << (ostream& os, set<T>& set_var) {
os << "{";
for(auto itr = set_var.begin(); itr != set_var.end(); itr++){
os << (*itr);
++itr;
if(itr != set_var.end()) os << ", ";
itr--;
}
os << "}";
return os;
}
// tuple 出力
template<int N,class Tuple>
void out(ostream &os,const Tuple &t){}
template<int N,class Tuple,class H,class ...Ts>
void out(ostream &os,const Tuple &t){
if(N)os<<", ";
os<<get<N>(t);
out<N+1,Tuple,Ts...>(os,t);
}
template<class ...Ts>
ostream& operator<<(ostream &os, const tuple<Ts...> &t){
os<<"(";
out<0,tuple<Ts...>,Ts...>(os,t);
os<<")";
return os;
}
#define overload2(_1, _2, name, ...) name
#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__)))
#define vvvv(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__))))
#define INT(...) \
int __VA_ARGS__; \
IN(__VA_ARGS__)
#define LL(...) \
ll __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__)
int scan() { return getchar(); }
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, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T> void scan(vector<T> &);
template <class T> void scan(vector<T> &a) {
for(auto &i : a) scan(i);
}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &...tail) {
scan(head);
IN(tail...);
}
const string YESNO[2] = {"NO", "YES"};
const string YesNo[2] = {"No", "Yes"};
const string yesno[2] = {"no", "yes"};
void YES(bool t = 1) { cout << YESNO[t] << endl; }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { cout << YesNo[t] << endl; }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { cout << yesno[t] << endl; }
void no(bool t = 1) { yes(!t); }
#ifdef LOCAL
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
cerr << " " << H;
debug_out(T...);
}
#define dbg(...) \
cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define dbg(...) (void(0))
#define dump(x) (void(0))
#endif
template<typename A, typename T>
std::enable_if_t<std::is_convertible<T, A>::value> fill(A& array, const T& val)
{
array = val;
}
template<typename A, typename T>
std::enable_if_t<!std::is_convertible<T, A>::value> fill(A& array, const T& val)
{
for (auto& a : array) {
fill(a, val);
}
}
template <class T> T ceil(T x, T y) {assert(y >= 1);return (x > 0 ? (x + y - 1) / y : x / y);}
template <class T> T floor(T x, T y) {assert(y >= 1);return (x > 0 ? x / y : (x + y - 1) / y);}
vector<int> iota(int n) {vector<int> a(n);iota(all(a), 0);return a;}
template <class T> T POW(T x, int n) {T res = 1;for(; n; n >>= 1, x *= x){if(n & 1) res *= x;}return res;}
ll pow2(int i) { return 1LL << i; }
int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int lowbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); }
// int allbit(int n) { return (1 << n) - 1; }
ll allbit(ll n) { return (1LL << n) - 1; }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(ll t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }
template <class S> void fold_in(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void fold_in(vector<S> &v, Head &&a, Tail &&...tail) {
for(auto e : a) v.emplace_back(e);
fold_in(v, tail...);
}
template <class S> void renumber(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void renumber(vector<S> &v, Head &&a, Tail &&...tail) {
for(auto &&e : a) e = lb(v, e);
renumber(v, tail...);
}
template <class S, class... Args> void zip(vector<S> &head, Args &&...args) {
vector<S> v;
fold_in(v, head, args...);
sort(all(v)), v.erase(unique(all(v)), v.end());
renumber(v, head, args...);
}
template<class T> inline bool chmax(T &a, T b){
if(a<b){
a = b;
return true;
}
return false;
}
template<class T> inline bool chmin(T &a, T b){
if(a>b){
a = b;
return true;
}
return false;
}
#define MOD 998244353
template <unsigned int mod>
class ModInt {
private:
unsigned int v;
static unsigned int norm(const unsigned int& x){ return x < mod ? x : x - mod; }
static ModInt make(const unsigned int& x){ ModInt m; return m.v = x, m; }
static ModInt inv(const ModInt& x){ return make(inverse(x.v, mod)); }
static unsigned int inverse(int a, int m){
int u[] = {a, 1, 0}, v[] = {m, 0, 1}, t;
while(*v){
t = *u / *v;
swap(u[0] -= t * v[0], v[0]), swap(u[1] -= t * v[1], v[1]), swap(u[2] -= t * v[2], v[2]);
}
return (u[1] % m + m) % m;
}
public:
ModInt() : v{0}{}
ModInt(const long long val) : v{norm(val % mod + mod)} {}
ModInt(const ModInt<mod>& n) : v{n()} {}
explicit operator bool() const noexcept { return v != 0; }
bool operator!() const noexcept { return !static_cast<bool>(*this); }
ModInt& operator=(const ModInt& n){ return v = n(), (*this); }
ModInt& operator=(const long long val){ return v = norm(val % mod + mod), (*this); }
ModInt operator+() const { return *this; }
ModInt operator-() const { return v == 0 ? make(0) : make(mod - v); }
ModInt operator+(const ModInt& val) const { return make(norm(v + val())); }
ModInt operator-(const ModInt& val) const { return make(norm(v + mod - val())); }
ModInt operator*(const ModInt& val) const { return make((long long)v * val() % mod); }
ModInt operator/(const ModInt& val) const { return *this * inv(val); }
ModInt& operator+=(const ModInt& val){ return *this = *this + val; }
ModInt& operator-=(const ModInt& val){ return *this = *this - val; }
ModInt& operator*=(const ModInt& val){ return *this = *this * val; }
ModInt& operator/=(const ModInt& val){ return *this = *this / val; }
ModInt operator+(const long long val) const { return ModInt{v + val}; }
ModInt operator-(const long long val) const { return ModInt{v - val}; }
ModInt operator*(const long long val) const { return ModInt{(long long)(v * (val % mod))}; }
ModInt operator/(const long long val) const { return ModInt{(long long)v * inv(val)}; }
ModInt& operator+=(const long long val){ return *this = *this + val; }
ModInt& operator-=(const long long val){ return *this = *this - val; }
ModInt& operator*=(const long long val){ return *this = *this * val; }
ModInt& operator/=(const long long val){ return *this = *this / val; }
bool operator==(const ModInt& val) const { return v == val.v; }
bool operator!=(const ModInt& val) const { return !(*this == val); }
bool operator==(const long long val) const { return v == norm(val % mod + mod); }
bool operator!=(const long long val) const { return !(*this == val); }
unsigned int operator()() const { return v; }
friend ModInt operator+(const long long val, const ModInt& n) { return n + val; }
friend ModInt operator-(const long long val, const ModInt& n) { return ModInt{val - n()}; }
friend ModInt operator*(const long long val, const ModInt& n) { return n * val; }
friend ModInt operator/(const long long val, const ModInt& n) { return ModInt{val} / n; }
friend bool operator==(const long long val, const ModInt& n) { return n == val; }
friend bool operator!=(const long long val, const ModInt& n) { return !(val == n); }
friend istream& operator>>(istream& is, ModInt& n){
unsigned int v;
return is >> v, n = v, is;
}
friend ostream& operator<<(ostream& os, const ModInt& n){ return (os << n()); }
friend ModInt mod_pow(ModInt x, long long n){
ModInt ans = ((mod == 1) ? 0 : 1);
while(n){
if(n & 1) ans *= x;
x *= x, n >>= 1;
}
return ans;
}
};
template<typename T> class mat : public vector<vector<T> > {
private:
int r, c; //行,列
public:
inline int row() const {
return r;
}
inline int column() const {
return c;
}
mat(int n, int m, T val = 0){
r = n, c = m;
for(int i = 0; i < n; i++){
this->push_back(vector<T>(m, val));
}
}
mat operator+(const mat& another) const {
if(r != another.r && c != another.c){
cout << "足し算失敗(サイズ不一致)" << endl;
exit(1);
}
mat<T> X(r, c);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
X[i][j] = (*this)[i][j] + another[i][j];
}
}
return X;
}
mat operator+(const T val) const {
mat<T> X(r, c);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
X[i][j] = (*this)[i][j] + val;
}
}
return X;
}
mat operator-(const mat& another) const {
if(r != another.r && c != another.c){
cout << "引き算失敗(サイズ不一致)" << endl;
exit(1);
}
mat<T> X(r, c);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
X[i][j] = (*this)[i][j] - another[i][j];
}
}
return X;
}
mat operator-(const T val) const {
mat<T> X(r, c);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
X[i][j] = (*this)[i][j] - val;
}
}
return X;
}
vector<T> operator*(const vector<T>& another) const {
if(c != (int)another.size()){
cout << "掛け算失敗(サイズ不一致)" << endl;
exit(1);
}
vector<T> vec(r,0);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
vec[i] += (*this)[i][j] * another[j];
}
}
return vec;
}
mat operator*(const mat& another) const {
if(c != another.r){
cout << "掛け算失敗(サイズ不一致)" << endl;
exit(1);
}
mat<T> X(r, another.c);
for(int i = 0; i < r; i++){
for(int k = 0; k < c; k++){
for(int j = 0; j < (another.c); j++){
X[i][j] += (*this)[i][k] * another[k][j];
}
}
}
return X;
}
mat operator-() const {
mat<T> X(r, c);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
X[i][j] = -(*this)[i][j];
}
}
return X;
}
int rank() const {
int res = 0;
mat B(r, c);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
B[i][j] = (*this)[i][j];
}
}
for(int i = 0; i < c; i++){
if(res == r) return res;
int pivot = res;
for(int j = res; j < r; j++){
if(B[j][i]){
pivot = j;
break;
}
}
if(!B[pivot][i]) continue;
swap(B[pivot], B[res]);
const T d = (T)1 / B[res][i];
for(int j = i + 1; j < c; j++){
B[res][j] *= d;
}
for(int j = res + 1; j < r; j++){
if(!B[j][i]) continue;
for(int k = i + 1; k < c; k++){
B[j][k] -= B[res][k] * B[j][i];
}
}
++res;
}
return res;
}
T det() const {
if(r != c){
cout << "正方行列でない(行列式定義不可)" << endl;
exit(1);
}
T ans = 1;
mat B(r, r);
for(int i = 0; i < r; i++){
for(int j = 0; j < c; j++){
B[i][j] = (*this)[i][j];
}
}
for(int i = 0; i < c; i++){
int pivot = i;
for(int j = i; j < r; j++){
if(B[j][i]){
pivot = j;
break;
}
}
if(!B[pivot][i]) return (T)0;
if(pivot != i) swap(B[i], B[pivot]), ans = -ans;
ans *= B[i][i];
const T d = (T)1 / B[i][i];
for(int j = i + 1; j < c; j++){
B[i][j] *= d;
}
for(int j = i + 1; j < r; j++){
if(!B[j][i]) continue;
for(int k = i + 1; k < c; k++){
B[j][k] -= B[i][k] * B[j][i];
}
}
}
return ans;
}
mat inverse() const {
if(r != c){
cout << "正方行列でない(逆行列定義不可)" << endl;
exit(1);
}
mat B(r, 2*r);
for(int i = 0; i < r; i++){
for(int j = 0; j < r; j++){
B[i][j] = (*this)[i][j];
}
}
for(int i = 0; i < r; i++){
B[i][r+i] = 1;
}
for(int i = 0; i < r; i++){
int pivot = i;
for(int j = i; j < r; j++){
if(B[j][i]){
pivot = j;
break;
}
}
if(!B[pivot][i]){
cout << "正則でない" << endl;
exit(1);
}
swap(B[i], B[pivot]);
const T d = (T)1 / B[i][i];
for(int j = i + 1; j < 2*r; j++){
B[i][j] *= d;
}
for(int j = 0; j < r; j++){
if(j == i || !B[j][i]) continue;
for(int k = i + 1; k < 2*r; k++){
B[j][k] -= B[i][k] * B[j][i];
}
}
}
mat res(r, r);
for(int i = 0; i < r; i++){
for(int j = 0; j < r; j++){
res[i][j] = B[i][r+j];
}
}
return res;
}
inline void print() const {
for(int i = 0; i < r; i++){
for(int j = 0; j < (c-1); j++){
cout << (*this)[i][j] << ",";
}
cout << (*this)[i][c-1] << endl;
}
}
};
template<typename T> vector<T> eq_solve(const mat<T>& A, const vector<T>& b){
if(A.row() != A.column()){
cout << "正方行列でない(解なしor不定)" << endl;
exit(1);
}
int n = A.row();
mat<T> B(n, n+1);
for(int i = 0; i < n; i++){
for(int j = 0; j < n; j++){
B[i][j] = A[i][j];
}
}
for(int i = 0; i < n; i++){
B[i][n] = b[i];
}
for(int i = 0; i < n; i++){
int pivot = i;
for(int j = i; j < n; j++){
if(B[j][i]){
pivot = j;
break;
}
}
if(!B[pivot][i]){
cout << "解なしor不定" << endl;
exit(1);
}
swap(B[i], B[pivot]);
const T d = (T)1 / B[i][i];
for(int j = i + 1; j <= n; j++){
B[i][j] *= d;
}
for(int j = 0; j < n; j++){
if(i != j){
for(int k = i + 1; k <= n; k++){
B[j][k] -= B[i][k] * B[j][i];
}
}
}
}
vector<T> res(n);
for(int i = 0; i < n; i++){
res[i] = B[i][n];
}
return res;
}
template<typename T> mat<T> pow(mat<T> A, long long cnt)
{
if(A.row() != A.column()){
cout << "累乗不可" << endl;
}
int n = A.row();
mat<T> B(n, n);
for(int i = 0; i < n; i++){
B[i][i] = 1;
}
while(cnt > 0){
if(cnt & 1) B = B * A;
A = A * A;
cnt >>= 1;
}
return B;
}
using mod = ModInt<MOD>;
// 宣言 mat<mod> A(n, m);
int main(){
INT(n,m);
LL(T);
mat<mod> A(n,n);
rep(i,m){
INT(a,b);
A[a][b]+=1;
A[b][a]+=1;
}
auto X = pow(A,T);
cout << X[0][0] << endl;
return 0;
}