結果
問題 | No.1307 Rotate and Accumulate |
ユーザー | rniya |
提出日時 | 2020-12-04 00:44:28 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 69 ms / 5,000 ms |
コード長 | 8,935 bytes |
コンパイル時間 | 2,750 ms |
コンパイル使用メモリ | 214,740 KB |
実行使用メモリ | 10,148 KB |
最終ジャッジ日時 | 2024-09-14 10:24:27 |
合計ジャッジ時間 | 4,964 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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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 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 3 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 2 ms
5,376 KB |
testcase_08 | AC | 50 ms
9,276 KB |
testcase_09 | AC | 53 ms
9,236 KB |
testcase_10 | AC | 39 ms
6,516 KB |
testcase_11 | AC | 31 ms
6,880 KB |
testcase_12 | AC | 38 ms
6,656 KB |
testcase_13 | AC | 11 ms
5,376 KB |
testcase_14 | AC | 20 ms
5,376 KB |
testcase_15 | AC | 67 ms
10,148 KB |
testcase_16 | AC | 68 ms
10,020 KB |
testcase_17 | AC | 69 ms
10,020 KB |
testcase_18 | AC | 62 ms
10,144 KB |
testcase_19 | AC | 69 ms
10,144 KB |
testcase_20 | AC | 68 ms
10,148 KB |
testcase_21 | AC | 2 ms
5,376 KB |
ソースコード
#include <bits/stdc++.h> using namespace std; // const long long MOD=1000000007; const long long MOD=998244353; #define LOCAL #pragma region Macros typedef long long ll; typedef __int128_t i128; typedef unsigned int uint; typedef unsigned long long ull; #define ALL(x) (x).begin(),(x).end() const int INF=1e9; const long long IINF=1e18; const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1}; const char dir[4]={'D','R','U','L'}; template<typename T> istream &operator>>(istream &is,vector<T> &v){ for (T &x:v) is >> x; return is; } template<typename T> ostream &operator<<(ostream &os,const vector<T> &v){ for (int i=0;i<v.size();++i){ os << v[i] << (i+1==v.size()?"": " "); } return os; } template<typename T,typename U> ostream &operator<<(ostream &os,const pair<T,U> &p){ os << '(' << p.first << ',' << p.second << ')'; return os; } template<typename T,typename U,typename V> ostream&operator<<(ostream &os,const tuple<T,U,V> &t){ os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')'; return os; } template<typename T,typename U,typename V,typename W> ostream&operator<<(ostream &os,const tuple<T,U,V,W> &t){ os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')'; return os; } template<typename T,typename U> ostream &operator<<(ostream &os,const map<T,U> &m){ os << '{'; for (auto itr=m.begin();itr!=m.end();){ os << '(' << itr->first << ',' << itr->second << ')'; if (++itr!=m.end()) os << ','; } os << '}'; return os; } template<typename T,typename U> ostream &operator<<(ostream &os,const unordered_map<T,U> &m){ os << '{'; for (auto itr=m.begin();itr!=m.end();){ os << '(' << itr->first << ',' << itr->second << ')'; if (++itr!=m.end()) os << ','; } os << '}'; return os; } template<typename T> ostream &operator<<(ostream &os,const set<T> &s){ os << '{'; for (auto itr=s.begin();itr!=s.end();){ os << *itr; if (++itr!=s.end()) os << ','; } os << '}'; return os; } template<typename T> ostream &operator<<(ostream &os,const multiset<T> &s){ os << '{'; for (auto itr=s.begin();itr!=s.end();){ os << *itr; if (++itr!=s.end()) os << ','; } os << '}'; return os; } template<typename T> ostream &operator<<(ostream &os,const unordered_set<T> &s){ os << '{'; for (auto itr=s.begin();itr!=s.end();){ os << *itr; if (++itr!=s.end()) os << ','; } os << '}'; return os; } template<typename T> ostream &operator<<(ostream &os,const deque<T> &v){ for (int i=0;i<v.size();++i){ os << v[i] << (i+1==v.size()?"": " "); } return os; } void debug_out(){cerr << '\n';} template<class Head,class... Tail> void debug_out(Head&& head,Tail&&... tail){ cerr << head; if (sizeof...(Tail)>0) cerr << ", "; debug_out(move(tail)...); } #ifdef LOCAL #define debug(...) cerr << " ";\ cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\ cerr << " ";\ debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif template<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;} template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;} template<class T1,class T2> inline bool chmin(T1 &a,T2 b){ if (a>b){a=b; return true;} return false; } template<class T1,class T2> inline bool chmax(T1 &a,T2 b){ if (a<b){a=b; return true;} return false; } #pragma endregion template<uint32_t mod> class modint{ using i64=int64_t; using u32=uint32_t; using u64=uint64_t; public: u32 v; constexpr modint(const i64 x=0) noexcept :v(x<0?mod-1-(-(x+1)%mod):x%mod){} constexpr u32 &value() noexcept {return v;} constexpr const u32 &value() const noexcept {return v;} constexpr modint operator+(const modint &rhs) const noexcept {return modint(*this)+=rhs;} constexpr modint operator-(const modint &rhs) const noexcept {return modint(*this)-=rhs;} constexpr modint operator*(const modint &rhs) const noexcept {return modint(*this)*=rhs;} constexpr modint operator/(const modint &rhs) const noexcept {return modint(*this)/=rhs;} constexpr modint &operator+=(const modint &rhs) noexcept { v+=rhs.v; if (v>=mod) v-=mod; return *this; } constexpr modint &operator-=(const modint &rhs) noexcept { if (v<rhs.v) v+=mod; v-=rhs.v; return *this; } constexpr modint &operator*=(const modint &rhs) noexcept { v=(u64)v*rhs.v%mod; return *this; } constexpr modint &operator/=(const modint &rhs) noexcept { return *this*=rhs.pow(mod-2); } constexpr modint pow(u64 exp) const noexcept { modint self(*this),res(1); while (exp>0){ if (exp&1) res*=self; self*=self; exp>>=1; } return res; } constexpr modint &operator++() noexcept {if (++v==mod) v=0; return *this;} constexpr modint &operator--() noexcept {if (v==0) v=mod; return --v,*this;} constexpr modint operator++(int) noexcept {modint t=*this; return ++*this,t;} constexpr modint operator--(int) noexcept {modint t=*this; return --*this,t;} constexpr modint operator-() const noexcept {return modint(mod-v);} template<class T> friend constexpr modint operator+(T x,modint y) noexcept {return modint(x)+y;} template<class T> friend constexpr modint operator-(T x,modint y) noexcept {return modint(x)-y;} template<class T> friend constexpr modint operator*(T x,modint y) noexcept {return modint(x)*y;} template<class T> friend constexpr modint operator/(T x,modint y) noexcept {return modint(x)/y;} constexpr bool operator==(const modint &rhs) const noexcept {return v==rhs.v;} constexpr bool operator!=(const modint &rhs) const noexcept {return v!=rhs.v;} constexpr bool operator!() const noexcept {return !v;} friend istream &operator>>(istream &s,modint &rhs) noexcept { i64 v; rhs=modint{(s>>v,v)}; return s; } friend ostream &operator<<(ostream &s,const modint &rhs) noexcept { return s<<rhs.v; } }; template<int mod> struct NumberTheoreticTransform{ using Mint=modint<mod>; vector<Mint> roots; vector<int> rev; int base,max_base; Mint root; NumberTheoreticTransform():base(1),rev{0,1},roots{Mint(0),Mint(1)}{ int tmp=mod-1; for (max_base=0;tmp%2==0;++max_base) tmp>>=1; root=2; while (root.pow((mod-1)>>1)==1) ++root; root=root.pow((mod-1)>>max_base); } void ensure_base(int nbase){ if (nbase<=base) return; rev.resize(1<<nbase); for (int i=0;i<(1<<nbase);++i){ rev[i]=(rev[i>>1]>>1)|((i&1)<<(nbase-1)); } roots.resize(1<<nbase); for (;base<nbase;++base){ Mint z=root.pow(1<<(max_base-1-base)); for (int i=1<<(base-1);i<(1<<base);++i){ roots[i<<1]=roots[i]; roots[i<<1|1]=roots[i]*z; } } } void ntt(vector<Mint> &a){ const int n=a.size(); int zeros=__builtin_ctz(n); ensure_base(zeros); int shift=base-zeros; for (int i=0;i<n;++i){ if (i<(rev[i]>>shift)){ swap(a[i],a[rev[i]>>shift]); } } for (int k=1;k<n;k<<=1){ for (int i=0;i<n;i+=(k<<1)){ for (int j=0;j<k;++j){ Mint z=a[i+j+k]*roots[j+k]; a[i+j+k]=a[i+j]-z; a[i+j]=a[i+j]+z; } } } } vector<Mint> multiply(vector<Mint> a,vector<Mint> b){ int need=a.size()+b.size()-1; int nbase=1; while ((1<<nbase)<need) ++nbase; ensure_base(nbase); int sz=1<<nbase; a.resize(sz,Mint(0)); b.resize(sz,Mint(0)); ntt(a); ntt(b); Mint inv_sz=1/Mint(sz); for (int i=0;i<sz;++i) a[i]*=b[i]*inv_sz; reverse(a.begin()+1,a.end()); ntt(a); a.resize(need); return a; } vector<int> multiply(vector<int> a,vector<int> b){ vector<Mint> A(a.size()),B(b.size()); for (int i=0;i<a.size();++i) A[i]=Mint(a[i]); for (int i=0;i<b.size();++i) B[i]=Mint(b[i]); vector<Mint> C=multiply(A,B); vector<int> res(C.size()); for (int i=0;i<C.size();++i) res[i]=C[i].v; return res; } }; using mint=modint<MOD>; int main(){ cin.tie(0); ios::sync_with_stdio(false); int N,Q; cin >> N >> Q; vector<int> a(N); for (int i=0;i<N;++i) cin >> a[i]; vector<int> b(N+1,0); for (;Q--;){ int r; cin >> r; ++b[N-r]; } NumberTheoreticTransform<MOD> NTT; vector<int> c=NTT.multiply(a,b); vector<int> ans(N,0); for (int i=0;i<c.size();++i) ans[i%N]+=c[i]; for (int i=0;i<N;++i) cout << ans[i] << (i==N-1?'\n':' '); }