結果
問題 | No.1331 Moving Penguin |
ユーザー | hotman78 |
提出日時 | 2021-01-08 22:31:25 |
言語 | C++17(gcc12) (gcc 12.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 573 ms / 1,500 ms |
コード長 | 8,414 bytes |
コンパイル時間 | 14,049 ms |
コンパイル使用メモリ | 290,796 KB |
最終ジャッジ日時 | 2025-01-17 12:48:57 |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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ファイルパターン | 結果 |
---|---|
other | AC * 49 |
ソースコード
#line 2 "cpplib/util/template.hpp"#pragma GCC optimize("Ofast")#pragma GCC optimize("unroll-loops")#pragma GCC target("avx2")#include<bits/stdc++.h>using namespace std;struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}}__INIT__;typedef long long lint;#define INF (1LL<<60)#define IINF (1<<30)#define EPS (1e-10)#define endl ('\n')typedef vector<lint> vec;typedef vector<vector<lint>> mat;typedef vector<vector<vector<lint>>> mat3;typedef vector<string> svec;typedef vector<vector<string>> smat;template<typename T>using V=vector<T>;template<typename T>using VV=V<V<T>>;template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}template<typename T>inline void output2(T t){for(auto i:t)output(i);}template<typename T>inline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<<i;f=1;}cerr<<endl;}template<typename T>inline void debug2(T t){for(auto i:t)output(i);}#define loop(n) for(long long _=0;_<(long long)(n);++_)#define _overload4(_1,_2,_3,_4,name,...) name#define __rep(i,a) repi(i,0,a,1)#define _rep(i,a,b) repi(i,a,b,1)#define repi(i,a,b,c) for(long long i=(long long)(a);i<(long long)(b);i+=c)#define rep(...) _overload4(__VA_ARGS__,repi,_rep,__rep)(__VA_ARGS__)#define _overload3_rev(_1,_2,_3,name,...) name#define _rep_rev(i,a) repi_rev(i,0,a)#define repi_rev(i,a,b) for(long long i=(long long)(b)-1;i>=(long long)(a);--i)#define rrep(...) _overload3_rev(__VA_ARGS__,repi_rev,_rep_rev)(__VA_ARGS__)// #define rep(i,...) for(auto i:range(__VA_ARGS__))// #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__)))// #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i)// #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i)// #define irep(i) for(lint i=0;;++i)// inline vector<long long> range(long long n){if(n<=0)return vector<long long>();vector<long long>v(n);iota(v.begin(),v.end(),0LL);return v;}// inline vector<long long> range(long long a,long long b){if(b<=a)return vector<long long>();vector<long long>v(b-a);iota(v.begin(),v.end(),a);return v;}// inline vector<long long> range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector<long long>();vector<long long>v((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;}// template<typename T>inline T reversed(T v){reverse(v.begin(),v.end());return v;}#define all(n) begin(n),end(n)template<typename T,typename E>bool chmin(T& s,const E& t){bool res=s>t;s=min<T>(s,t);return res;}template<typename T,typename E>bool chmax(T& s,const E& t){bool res=s<t;s=max<T>(s,t);return res;}const vector<lint> dx={1,0,-1,0,1,1,-1,-1};const vector<lint> dy={0,1,0,-1,1,-1,1,-1};#define SUM(v) accumulate(all(v),0LL)template<typename T,typename ...Args>auto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector<T>(arg,x);else returnvector(arg,make_vector<T>(x,args...));}#define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__}))#define bit(n,a) ((n>>a)&1)vector<vector<long long>> __MAKE_MAT__(vector<long long> v){if(v.empty())return vector<vector<long long>>(1,vector<long long>());long long n=v.back();v.pop_back();vector<vector<long long>> ret;vector<vector<long long>> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;i<n;++i){ret.push_back(e);ret.back().push_back(i);}return ret;}using graph=vector<vector<int>>;template<typename T>using graph_w=vector<vector<pair<int,T>>>;template<typename T,typename E>ostream& operator<<(ostream& out,pair<T,E>v){out<<"("<<v.first<<","<<v.second<<")";return out;}constexpr inline long long powll(long long a,long long b){long long res=1;while(b--)res*=a;return res;}#line 5 "cpplib/math/mod_int.hpp"/*** @brief ModInt*/template<int MOD>struct mod_int {using mint=mod_int<MOD>;using u64 = std::uint_fast64_t;u64 a;constexpr mod_int(const long long x = 0)noexcept:a(x>=0?x%get_mod():get_mod()-(-x)%get_mod()){}constexpr u64 &value()noexcept{return a;}constexpr const u64 &value() const noexcept {return a;}constexpr mint operator+(const mint rhs)const noexcept{return mint(*this) += rhs;}constexpr mint operator-(const mint rhs)const noexcept{return mint(*this)-=rhs;}constexpr mint operator*(const mint rhs) const noexcept {return mint(*this) *= rhs;}constexpr mint operator/(const mint rhs) const noexcept {return mint(*this) /= rhs;}constexpr mint &operator+=(const mint rhs) noexcept {a += rhs.a;if (a >= get_mod())a -= get_mod();return *this;}constexpr mint &operator-=(const mint rhs) noexcept {if (a<rhs.a)a += get_mod();a -= rhs.a;return *this;}constexpr mint &operator*=(const mint rhs) noexcept {a = a * rhs.a % get_mod();return *this;}constexpr mint operator++(int) noexcept {a += 1;if (a >= get_mod())a -= get_mod();return *this;}constexpr mint operator--(int) noexcept {if (a<1)a += get_mod();a -= 1;return *this;}constexpr mint &operator/=(mint rhs) noexcept {u64 exp=get_mod()-2;while (exp) {if (exp % 2) {*this *= rhs;}rhs *= rhs;exp /= 2;}return *this;}constexpr bool operator==(mint x) noexcept {return a==x.a;}constexpr bool operator!=(mint x) noexcept {return a!=x.a;}constexpr bool operator<(mint x) noexcept {return a<x.a;}constexpr bool operator>(mint x) noexcept {return a>x.a;}constexpr bool operator<=(mint x) noexcept {return a<=x.a;}constexpr bool operator>=(mint x) noexcept {return a>=x.a;}constexpr static int root(){mint root = 2;while(root.pow((get_mod()-1)>>1).a==1)root++;return root.a;}constexpr mint pow(long long n)const{long long x=a;mint ret = 1;while(n>0) {if(n&1)(ret*=x);(x*=x)%=get_mod();n>>=1;}return ret;}constexpr mint inv(){return pow(get_mod()-2);}static std::vector<mint> fac;static std::vector<mint> ifac;static bool init;constexpr static int mx=10000001;void build()const{init=0;fac.resize(mx);ifac.resize(mx);fac[0]=1,ifac[0]=1;for(int i=1;i<mx;i++)fac[i]=fac[i-1]*i;ifac[mx-1]=fac[mx-1].inv();for(int i=mx-2;i>=0;i--)ifac[i]=ifac[i+1]*(i+1);}mint comb(long long b){if(init)build();if(a<0||b<0)return 0;if(a==0&&b==0)return 1;if((long long)a<b)return 0;return fac[a]*ifac[a-b]*ifac[b];}mint fact()const{if(init)build();return fac[a];}mint fact_inv()const{if(init)build();return ifac[a];}friend std::ostream& operator<<(std::ostream& lhs, const mint& rhs) noexcept {lhs << rhs.a;return lhs;}friend std::istream& operator>>(std::istream& lhs,mint& rhs) noexcept {lhs >> rhs.a;return lhs;}constexpr static u64 get_mod(){return MOD;}};template<int MOD>std::vector<mod_int<MOD>> mod_int<MOD>::fac;template<int MOD>std::vector<mod_int<MOD>> mod_int<MOD>::ifac;template<int MOD>bool mod_int<MOD>::init=1;#line 3 "cpplib/math/mod_int1000000007.hpp"using mint=mod_int<1'000'000'007>;constexpr int MOD=1'000'000'007;/*** @brief ModInt(1'000'000'007)*/#line 3 "code.cpp"int main(){lint n;cin>>n;vec a(n);rep(i,n)cin>>a[i];vector<mint> dp(n);lint k=sqrt(n);vector<vector<mint>> v(n,vector<mint>(k,0));dp[0]=1;rep(i,n){if(i)dp[i]+=dp[i-1];rep(j,k){dp[i]+=v[i][j];if(i+j+1<n)v[i+j+1][j]+=v[i][j];}if(a[i]<=k){if(a[i]==1){if(i+a[i]+1<n){v[i+a[i]+1][a[i]-1]+=dp[i];}}else{if(i+a[i]<n){v[i+a[i]][a[i]-1]+=dp[i];}}}else{for(lint j=i+(a[i]==1?a[i]+1:a[i]);j<n;j+=a[i]){dp[j]+=dp[i];}}}cout<<dp.back()<<endl;}