#769700 (C++23) No.1975 Zigzag Sequence

提出ソース

結果

問題	No.1975 Zigzag Sequence
ユーザー	kiyoshi0205
提出日時	2022-06-10 22:09:09
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	162 ms / 2,000 ms
コード長	6,402 bytes
コンパイル時間	9,251 ms
コンパイル使用メモリ	351,472 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-09-21 06:22:58
合計ジャッジ時間	13,049 ms
ジャッジサーバーID （参考情報）	judge1 / judge4

このコードへのチャレンジ
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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 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	17 ms 6,944 KB
testcase_04	AC	8 ms 6,944 KB
testcase_05	AC	144 ms 6,944 KB
testcase_06	AC	92 ms 6,940 KB
testcase_07	AC	19 ms 6,940 KB
testcase_08	AC	93 ms 6,944 KB
testcase_09	AC	133 ms 6,944 KB
testcase_10	AC	94 ms 6,940 KB
testcase_11	AC	105 ms 6,944 KB
testcase_12	AC	25 ms 6,940 KB
testcase_13	AC	2 ms 6,944 KB
testcase_14	AC	2 ms 6,940 KB
testcase_15	AC	2 ms 6,944 KB
testcase_16	AC	2 ms 6,944 KB
testcase_17	AC	2 ms 6,940 KB
testcase_18	AC	109 ms 6,940 KB
testcase_19	AC	110 ms 6,940 KB
testcase_20	AC	120 ms 6,940 KB
testcase_21	AC	118 ms 6,940 KB
testcase_22	AC	144 ms 6,940 KB
testcase_23	AC	141 ms 6,940 KB
testcase_24	AC	145 ms 6,940 KB
testcase_25	AC	144 ms 6,940 KB
testcase_26	AC	152 ms 6,944 KB
testcase_27	AC	162 ms 6,944 KB
testcase_28	AC	143 ms 6,940 KB
testcase_29	AC	142 ms 6,940 KB
testcase_30	AC	141 ms 6,944 KB
testcase_31	AC	141 ms 6,940 KB
testcase_32	AC	114 ms 6,940 KB
testcase_33	AC	113 ms 6,940 KB
testcase_34	AC	153 ms 6,940 KB
testcase_35	AC	153 ms 6,940 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

#ifdef DEBUG
#include"stdlibrary.h"
#else
#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
#include<atcoder/all>
#endif
// #include<ext/pb_ds/assoc_container.hpp>
// #include<ext/pb_ds/tree_policy.hpp>
// #include<ext/pb_ds/tag_and_trait.hpp>
// using namespace __gnu_pbds;
// #include<boost/multiprecision/cpp_int.hpp>
// namespace multiprecisioninteger = boost::multiprecision;
// using cint=multiprecisioninteger::cpp_int;
using ll=long long;
using datas=pair<ll,ll>;
using ddatas=pair<long double,long double>;
using tdata=pair<ll,datas>;
using vec=vector<ll>;
using mat=vector<vec>;
using pvec=vector<datas>;
using pmat=vector<pvec>;
// using llset=tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>;
#define For(i,a,b) for(i=a;i<(ll)b;++i)
#define bFor(i,b,a) for(i=b,--i;i>=(ll)a;--i)
#define rep(i,N) For(i,0,N)
#define rep1(i,N) For(i,1,N)
#define brep(i,N) bFor(i,N,0)
#define brep1(i,N) bFor(i,N,1)
#define all(v) (v).begin(),(v).end()
#define allr(v) (v).rbegin(),(v).rend()
#define vsort(v) sort(all(v))
#define vrsort(v) sort(allr(v))
#define uniq(v) vsort(v),(v).erase(unique(all(v)),(v).end())
#define endl "\n"
#define popcount __builtin_popcountll
#define eb emplace_back
#define print(x) cout<<x<<endl
#define printyes print("Yes")
#define printno print("No")
#define printYES print("YES")
#define printNO print("NO")
#define output(v) do{bool f=0;for(auto outi:v){cout<<(f?" ":"")<<outi;f=1;}cout<<endl;}while(0)
#define matoutput(v) do{for(auto outimat:v)output(outimat);}while(0)
constexpr ll mod=1000000007;
// constexpr ll mod=998244353;
constexpr ll inf=1LL<<60;
constexpr long double eps=1e-9;
const long double PI=acosl(-1);
template<class T,class E> ostream& operator<<(ostream& os,const pair<T,E>& p){return os<<"("<<p.first<<","<<p.second<<")";}
template<class T> ostream& operator<<(ostream& os,const vector<T>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T> ostream& operator<<(ostream& os,const set<T>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T> ostream& operator<<(ostream& os,const multiset<T>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T,class E> ostream& operator<<(ostream& os,const map<T,E>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T> inline bool chmax(T& a,const T b){bool x=a<b;if(x)a=b;return x;}
template<class T> inline bool chmin(T& a,const T b){bool x=a>b;if(x)a=b;return x;}
#ifdef DEBUG
void debugg(){cout<<endl;}
template<class T,class... Args>void debugg(const T& x,const Args&... args){cout<<" "<<x;debugg(args...);}
#define debug(...) cout<<__LINE__<<" ["<<#__VA_ARGS__<<"]:",debugg(__VA_ARGS__)
#else
#define debug(...) (void(0))
#endif

inline void startupcpp(void) noexcept{
  cin.tie(0)->sync_with_stdio(0);
  cout<<fixed<<setprecision(15);
}

ll modinv(ll a,const ll m=mod) noexcept{
  ll b=m,u=1,v=0,t;
  while(b){
    t=a/b;
    a-=t*b; swap(a,b);
    u-=t*v; swap(u,v);
  }
  return (u+m)%m;
}

ll moddevide(const ll a,const ll b) noexcept{return (a*modinv(b))%mod;}

vec modncrlistp,modncrlistm;

ll modncr(const ll n,const ll r) noexcept{
  if(n<r||r<0)return 0;
  ll i,size=modncrlistp.size();
  if(size<=n){
    modncrlistp.resize(n+1);
    modncrlistm.resize(n+1);
    if(!size){
      modncrlistp[0]=modncrlistm[0]=1;
      size++;
    }
    For(i,size,n+1)modncrlistp[i]=modncrlistp[i-1]*i%mod;
    modncrlistm[n]=modinv(modncrlistp[n]);
    for(i=n;i>size;--i)modncrlistm[i-1]=modncrlistm[i]*i%mod;
  }
  return modncrlistp[n]*modncrlistm[r]%mod*modncrlistm[n-r]%mod;
}

ll modpow(ll a,ll n,const ll m=mod){
  if(n<0)return 0;
  ll res=1;
  while(n>0){
    if(n&1)res=res*a%m;
    a=a*a%m;
    n>>=1;
  }
  return res;
}

constexpr ll gcd(const ll a,const ll b) noexcept{return (!b)?abs(a):(a%b==0)?abs(b):gcd(b,a%b);}
constexpr ll lcm(const ll a,const ll b) noexcept{return a/gcd(a,b)*b;}

using mint=atcoder::modint1000000007;
void operator>>(istream& is,mint& v){long long x;is>>x;v=x;}
ostream& operator<<(ostream& os,const mint& v){return os<<v.val();}

template<typename T> struct segtree{
private:
  int N=1;
  T E;
  using func=function<T(T,T)>;
  func f,g;
  vector<T> tree;
public:
  segtree(){}
  segtree(vector<T>& v,T e,func Merge,func Act):E(e),f(Merge),g(Act){
    int i,K=v.size();
    while(N<K)N<<=1;
    tree.resize(N<<1);
    For(i,N,N+K)tree[i]=v[i-N];
    For(i,N+K,N<<1)tree[i]=E;
    brep1(i,N)tree[i]=f(tree[i<<1],tree[(i<<1)|1]);
  }
  segtree(vector<T>& v,T e,func Merge){*this=segtree(v,e,Merge,Merge);};
  segtree(int N,T e,func F){
    vector<T> res(N,e);
    *this=segtree(res,e,F);
  }
  void action(int i,T a){
    if((i<0)|(i>=N))return;
    i|=N;
    tree[i]=g(tree[i],a);
    while(i>1){
      i>>=1;
      tree[i]=f(tree[i<<1],tree[(i<<1)|1]);
    }
  }
  void set(int i,T a){
    if((i<0)|(i>=N))return;
    tree[i|=N]=a;
    while(i>1){
      i>>=1;
      tree[i]=f(tree[i<<1],tree[(i<<1)|1]);
    }
  }
  T prod(int a,int b){
    if((a>=b)|(a<0)|(b<=0)|(a>=N)|(b>N))return E;
    T l(E),r(E);
    for(a|=N,b+=N;a<b;a>>=1,b>>=1){
      if(a&1)l=f(l,tree[a++]);
      if(b&1)r=f(tree[--b],r);
    }
    return f(l,r);
  }
  T get(int i){return tree[i+N];}
};

ll N,M,K,H,W,A,B,C,D;
string s,t;
ll ans;
int main(){
  startupcpp();
// int codeforces;cin>>codeforces;while(codeforces--){
  ll i,j;
  cin>>N;
  vec a(N);
  {
    rep(i,N)cin>>a[i];
    vec za(a);
    uniq(za);
    for(auto& x:a)x=lower_bound(all(za),x)-za.begin();
  }
  segtree<mint> seg(N,0,[](mint l,mint r){return l+r;});
  vector<mint> ch(N);
  rep(i,N){
    mint now=seg.get(a[i]);
    ch[i]=seg.prod(0,a[i]);
    seg.set(a[i],now+mint(2).pow(i));
  }
  rep(i,N)seg.set(i,0);
  mint ans=0;
  brep(i,N){
    mint now=seg.get(a[i]);
    ans+=ch[i]*seg.prod(0,a[i]);
    seg.set(a[i],now+mint(2).pow(N-i-1));
  }
  rep(i,N)seg.set(i,0);

  rep(i,N){
    mint now=seg.get(N-a[i]-1);
    ch[i]=seg.prod(0,N-a[i]-1);
    seg.set(N-a[i]-1,now+mint(2).pow(i));
  }
  rep(i,N)seg.set(i,0);
  brep(i,N){
    mint now=seg.get(N-a[i]-1);
    ans+=ch[i]*seg.prod(0,N-a[i]-1);
    seg.set(N-a[i]-1,now+mint(2).pow(N-i-1));
  }
  print(ans);
}

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結果

テストケース

ソースコード