結果
問題 | No.2810 Have Another Go (Hard) |
ユーザー | 👑 tute7627 |
提出日時 | 2024-07-12 22:37:51 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 18,634 bytes |
コンパイル時間 | 3,367 ms |
コンパイル使用メモリ | 232,940 KB |
実行使用メモリ | 88,384 KB |
最終ジャッジ日時 | 2024-07-12 22:38:00 |
合計ジャッジ時間 | 8,467 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge1 |
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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 |
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testcase_00 | AC | 197 ms
88,384 KB |
testcase_01 | TLE | - |
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ソースコード
//#define _GLIBCXX_DEBUG //#pragma GCC target("avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include<bits/stdc++.h> using namespace std; #ifdef LOCAL #include <debug_print.hpp> #define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else #define OUT(...) (static_cast<void>(0)) #endif #define endl '\n' #define lfs cout<<fixed<<setprecision(15) #define ALL(a) (a).begin(),(a).end() #define ALLR(a) (a).rbegin(),(a).rend() #define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end()) #define spa << " " << #define fi first #define se second #define MP make_pair #define MT make_tuple #define PB push_back #define EB emplace_back #define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++) #define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--) namespace template_tute{ using ll = long long; using ld = long double; const ll MOD1 = 1e9+7; const ll MOD9 = 998244353; const ll INF = 1e18; using P = pair<ll, ll>; template<typename T> using PQ = priority_queue<T>; template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>; template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;} template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;} ll median(ll a,ll b, ll c){return a+b+c-max<ll>({a,b,c})-min<ll>({a,b,c});} void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;} void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;} void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;} template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;} template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);}; template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}}; template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;}; template<typename T>void debug(const vector<T>&v){debug(v,v.size());} template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());} template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;} template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;} template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;} template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;} template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;} template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;} template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;} template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;} template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;} template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;} vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1}; template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);} template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));} template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << "(" << p.first << "," << p.second << ")";} template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;} template<typename T>void rearrange(vector<int>&ord, vector<T>&v){ auto tmp = v; for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]]; } template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){ rearrange(ord, head); rearrange(ord, tail...); } template<typename T> vector<int> ascend(const vector<T>&v){ vector<int>ord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i)<make_pair(v[j],j);}); return ord; } template<typename T> vector<int> descend(const vector<T>&v){ vector<int>ord(v.size());iota(ord.begin(),ord.end(),0); sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);}); return ord; } template<typename T> vector<T> inv_perm(const vector<T>&ord){ vector<T>inv(ord.size()); for(int i=0;i<ord.size();i++)inv[ord[i]] = i; return inv; } ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;} ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;} ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;} ll modulo(ll n,ll d){return (n%d+d)%d;}; template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());} template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());} template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));}; template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());}; //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count()); int popcount(ll x){return __builtin_popcountll(x);}; int poplow(ll x){return __builtin_ctzll(x);}; int pophigh(ll x){return 63 - __builtin_clzll(x);}; template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;}; template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;}; template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;}; template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;}; ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;} ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;} ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;} std::ostream &operator<<(std::ostream &dest, __int128_t value) { std::ostream::sentry s(dest); if (s) { __uint128_t tmp = value < 0 ? -value : value; char buffer[128]; char *d = std::end(buffer); do { --d; *d = "0123456789"[tmp % 10]; tmp /= 10; } while (tmp != 0); if (value < 0) { --d; *d = '-'; } int len = std::end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } namespace converter{ int dict[500]; const string lower="abcdefghijklmnopqrstuvwxyz"; const string upper="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string digit="0123456789"; const string digit1="123456789"; void regi_str(const string &t){ for(int i=0;i<t.size();i++){ dict[t[i]]=i; } } void regi_int(const string &t){ for(int i=0;i<t.size();i++){ dict[i]=t[i]; } } vector<int>to_int(const string &s,const string &t){ regi_str(t); vector<int>ret(s.size()); for(int i=0;i<s.size();i++){ ret[i]=dict[s[i]]; } return ret; } vector<int>to_int(const string &s){ auto t=s; sort(t.begin(),t.end()); t.erase(unique(t.begin(),t.end()),t.end()); return to_int(s,t); } vector<vector<int>>to_int(const vector<string>&s,const string &t){ regi_str(t); vector<vector<int>>ret(s.size(),vector<int>(s[0].size())); for(int i=0;i<s.size();i++){ for(int j=0;j<s[0].size();j++){ ret[i][j]=dict[s[i][j]]; } } return ret; } vector<vector<int>>to_int(const vector<string>&s){ string t; for(int i=0;i<s.size();i++){ t+=s[i]; } sort(t.begin(),t.end());t.erase(unique(t.begin(),t.end()),t.end()); return to_int(s,t); } string to_str(const vector<int>&s,const string &t){ regi_int(t); string ret; for(auto z:s)ret+=dict[z]; return ret; } vector<string> to_str(const vector<vector<int>>&s,const string &t){ regi_int(t); vector<string>ret(s.size()); for(int i=0;i<s.size();i++){ for(auto z:s[i])ret[i]+=dict[z]; } return ret; } } template< typename T = int > struct edge { int to; T cost; int id; edge():to(-1),id(-1){}; edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){} operator int() const { return to; } }; template<typename T> using Graph = vector<vector<edge<T>>>; template<typename T> Graph<T>revgraph(const Graph<T> &g){ Graph<T>ret(g.size()); for(int i=0;i<g.size();i++){ for(auto e:g[i]){ int to = e.to; e.to = i; ret[to].push_back(e); } } return ret; } template<typename T> Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){ Graph<T> ret(n); for(int es = 0; es < m; es++){ int u,v; T w=1; cin>>u>>v;u-=indexed,v-=indexed; if(weighted)cin>>w; ret[u].emplace_back(v,w,es); if(!directed)ret[v].emplace_back(u,w,es); } return ret; } template<typename T> Graph<T> readParent(int n,int indexed=1,bool directed=true){ Graph<T>ret(n); for(int i=1;i<n;i++){ int p;cin>>p; p-=indexed; ret[p].emplace_back(i); if(!directed)ret[i].emplace_back(p); } return ret; } } using namespace template_tute; template< int mod > struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) += rhs; } friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) -= rhs; } friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) *= rhs; } friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) { return ModInt(lhs) /= rhs; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } pair<int,int>frac(){ for(int j=1;j<=300;j++){ for(int i=-300;i<=300;i++){ if(ModInt(i)/j==*this){ return make_pair(i,j); } } } return make_pair(-1,-1); } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; template< typename T > struct Combination { vector< T > _fact, _rfact, _inv; Combination(ll sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) { _fact[0] = _rfact[sz] = _inv[0] = 1; for(ll i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i; _rfact[sz] /= _fact[sz]; for(ll i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1); for(ll i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1]; } inline T fact(ll k) const { return _fact[k]; } inline T rfact(ll k) const { return _rfact[k]; } inline T inv(ll k) const { return _inv[k]; } T P(ll n, ll r) const { if(r < 0 || n < r) return 0; return fact(n) * rfact(n - r); } T C(ll p, ll q) const { if(q < 0 || p < q) return 0; return fact(p) * rfact(q) * rfact(p - q); } T RC(ll p, ll q) const { if(q < 0 || p < q) return 0; return rfact(p) * fact(q) * fact(p - q); } T H(ll n, ll r) const { if(n < 0 || r < 0) return (0); return r == 0 ? 1 : C(n + r - 1, r); } //+1がm個、-1がn個で prefix sumが常にk以上 T catalan(ll m,ll n,ll k){ if(n>m-k)return 0; else return C(n+m,m)-C(n+m,n+k-1); } }; using modint = ModInt< MOD9 >;modint mpow(ll n, ll x){return modint(n).pow(x);}modint mpow(modint n, ll x){return n.pow(x);} //using modint=ld;modint mpow(ll n, ll x){return pow(n,x);}modint mpow(modint n, ll x){return pow(n,x);} using Comb=Combination<modint>; template< class T> struct Kitamasa { ll n; const T zero = 0;//addの単位元 const T iden = 1;//mulの単位元 using arr = vector<T>; arr rec_f; const T add(T x, T y){ return x + y; } const T mul(T x, T y){ return x * y; } arr zeros(){ arr ret(n); for(ll i=0;i<n;i++)ret[i]=zero; return ret; } Kitamasa(vector<T> v):n(v.size()){ //an=sum(v0*a_(n-k)+v_1*a_(n-k+1)+... rec_f = zeros(); for(ll i=0;i<n;i++)rec_f[i]=v[i]; } T calc(ll k, vector<T> a){//k項目を求める, a0...ak-1 vector<ll>bit; while(k){ if(k&1)bit.push_back(1); else bit.push_back(0); k>>=1; } reverse(bit.begin(),bit.end()); arr now=zeros(); now[0]=iden; for(ll i=0;i<bit.size();i++){ now=twice(now); if(bit[i]==1)now=increment(now); } T ret=zero; for(ll i=0;i<n;i++)ret=add(ret,mul(now[i],a[i])); return ret; } arr increment(arr &v){ arr ret=zeros(); for(ll i=1;i<n;i++)ret[i]=add(v[i-1],mul(v[n-1],rec_f[i])); ret[0]=mul(v[n-1],rec_f[0]); return ret; } arr twice(arr &v){ arr ret=zeros(); arr tmp=v; for(ll i=0;i<n;i++){ for(ll j=0;j<n;j++){ ret[j]=add(ret[j],mul(v[i],tmp[j])); } tmp=increment(tmp); } return ret; } }; template< class T > struct Matrix { vector< vector< T > > A; Matrix() {} Matrix(size_t n, size_t m) : A(n, vector< T >(m, 0)) {} Matrix(size_t n) : A(n, vector< T >(n, 0)) {}; Matrix(vector<vector<T>>v):A(v){}; size_t height() const { return (A.size()); } size_t width() const { return (A[0].size()); } inline const vector< T > &operator[](int k) const { return (A.at(k)); } inline vector< T > &operator[](int k) { return (A.at(k)); } static Matrix I(size_t n) { Matrix mat(n); for(int i = 0; i < n; i++) mat[i][i] = 1; return (mat); } Matrix &operator+=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() && m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] += B[i][j]; return (*this); } Matrix &operator-=(const Matrix &B) { size_t n = height(), m = width(); assert(n == B.height() && m == B.width()); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) (*this)[i][j] -= B[i][j]; return (*this); } Matrix &operator*=(const Matrix &B) { size_t n = height(), m = B.width(), p = width(); assert(p == B.height()); vector< vector< T > > C(n, vector< T >(m, 0)); for(int i = 0; i < n; i++) for(int j = 0; j < m; j++) for(int k = 0; k < p; k++) C[i][j] = (C[i][j] + (*this)[i][k] * B[k][j]); A.swap(C); return (*this); } Matrix &operator^=(long long k) { Matrix B = Matrix::I(height()); while(k > 0) { if(k & 1) B *= *this; *this *= *this; k >>= 1LL; } A.swap(B.A); return (*this); } Matrix operator+(const Matrix &B) const { return (Matrix(*this) += B); } Matrix operator-(const Matrix &B) const { return (Matrix(*this) -= B); } Matrix operator*(const Matrix &B) const { return (Matrix(*this) *= B); } Matrix operator^(const long long k) const { return (Matrix(*this) ^= k); } bool operator==(const Matrix &B)const{ return this->A == B.A; } bool operator!=(const Matrix &B)const{ return this->A != B.A; } friend ostream &operator<<(ostream &os, Matrix p) { size_t n = p.height(), m = p.width(); for(int i = 0; i < n; i++) { os << "["; for(int j = 0; j < m; j++) { os << p[i][j] << (j + 1 == m ? "]\n" : ","); } } return (os); } T determinant() { Matrix B(*this); assert(width() == height()); T ret = 1; for(int i = 0; i < width(); i++) { int idx = -1; for(int j = i; j < width(); j++) { if(B[j][i] != 0) idx = j; } if(idx == -1) return (0); if(i != idx) { ret *= -1; swap(B[i], B[idx]); } ret *= B[i][i]; T vv = B[i][i]; for(int j = 0; j < width(); j++) { B[i][j] /= vv; } for(int j = i + 1; j < width(); j++) { T a = B[j][i]; for(int k = 0; k < width(); k++) { B[j][k] -= B[i][k] * a; } } } return (ret); } }; void solve(){ ll res=0,buf=0; bool judge = true; ll n,m,k;cin>>n>>m>>k; vector<ll>c(k); rep(i,0,k)cin>>c[i]; sort(ALL(c)); const int sz=20000000; vector<modint>dp(sz+1);dp[0]=1; rep(i,0,sz)rep(j,1,7){ if(i+j<=sz)dp[i+j]+=dp[i]; } Kitamasa kit(vector<modint>{1,1,1,1,1,1}); auto get=[&](ll d){ if(d<=sz)return dp[d]; else return kit.calc(d,vector<modint>{1,0,0,0,0,0}); }; rep(j,0,k){ Matrix<modint>mat(12,12); rep(i,0,6){ modint sum=0; if(i<=c[j])sum+=get(c[j]-i); rep(r,n-6,n){ if(c[j]>r)continue; modint add1=sum*get(r-c[j]); modint add0=get(r-i)-add1; rep(p,1,7)if(r+p>=n){ int ir=r+p-n; mat[i][ir]+=add0; mat[i][ir+6]+=add1; mat[i+6][ir+6]+=add0+add1; } } } mat^=m; modint ret=0; rep(i,6,12)ret+=mat[0][i]; cout<<ret<<endl; } } int main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); ll res=0,buf=0; bool judge = true; int T = 1; //cin>>T; while(T--){ solve(); } return 0; }