結果

問題 No.992 最長増加部分列の数え上げ
ユーザー rniyarniya
提出日時 2020-10-06 10:25:41
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 99 ms / 2,000 ms
コード長 8,423 bytes
コンパイル時間 2,296 ms
コンパイル使用メモリ 217,888 KB
実行使用メモリ 16,500 KB
最終ジャッジ日時 2024-07-20 00:41:50
合計ジャッジ時間 8,442 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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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 37 ms
8,448 KB
testcase_05 AC 27 ms
7,040 KB
testcase_06 AC 47 ms
9,472 KB
testcase_07 AC 34 ms
8,064 KB
testcase_08 AC 17 ms
5,888 KB
testcase_09 AC 36 ms
8,192 KB
testcase_10 AC 45 ms
9,344 KB
testcase_11 AC 57 ms
10,624 KB
testcase_12 AC 13 ms
5,376 KB
testcase_13 AC 32 ms
7,808 KB
testcase_14 AC 32 ms
7,936 KB
testcase_15 AC 12 ms
5,376 KB
testcase_16 AC 87 ms
15,420 KB
testcase_17 AC 17 ms
5,888 KB
testcase_18 AC 30 ms
7,936 KB
testcase_19 AC 54 ms
10,748 KB
testcase_20 AC 93 ms
16,412 KB
testcase_21 AC 92 ms
16,384 KB
testcase_22 AC 91 ms
16,384 KB
testcase_23 AC 94 ms
16,384 KB
testcase_24 AC 93 ms
16,384 KB
testcase_25 AC 94 ms
16,500 KB
testcase_26 AC 93 ms
16,416 KB
testcase_27 AC 95 ms
16,340 KB
testcase_28 AC 99 ms
16,444 KB
testcase_29 AC 92 ms
16,384 KB
testcase_30 AC 71 ms
15,604 KB
testcase_31 AC 74 ms
15,696 KB
testcase_32 AC 72 ms
15,696 KB
testcase_33 AC 73 ms
15,708 KB
testcase_34 AC 74 ms
15,616 KB
testcase_35 AC 73 ms
15,624 KB
testcase_36 AC 70 ms
15,624 KB
testcase_37 AC 70 ms
15,500 KB
testcase_38 AC 69 ms
15,624 KB
testcase_39 AC 70 ms
15,628 KB
testcase_40 AC 78 ms
15,880 KB
testcase_41 AC 79 ms
15,616 KB
testcase_42 AC 74 ms
15,616 KB
testcase_43 AC 77 ms
15,808 KB
testcase_44 AC 78 ms
15,628 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

diff # 

#include <bits/stdc++.h>
using namespace std;
#define LOCAL
#pragma region Macros
typedef long long ll;
#define ALL(x) (x).begin(),(x).end()
const long long MOD=1000000007;
// const long long MOD=998244353;
const int INF=1e9+10;
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>
ostream &operator<<(ostream &os,const map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();++itr){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
        --itr;
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();++itr){
        os << *itr;
        if (++itr!=s.end()) os << ',';
        --itr;
    }
    os << '}';
    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;}
    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<typename Monoid>
struct SegmentTree{
    typedef function<Monoid(Monoid,Monoid)> F;
    int n;
    F f;
    Monoid id;
    vector<Monoid> dat;
    SegmentTree(int n_,F f,Monoid id):f(f),id(id){init(n_);}
    void init(int n_){
        n=1;
        while(n<n_) n<<=1;
        dat.assign(n<<1,id);
    }
    void build(const vector<Monoid> &v){
        for (int i=0;i<v.size();++i) dat[i+n]=v[i];
        for (int i=n-1;i;--i) dat[i]=f(dat[i<<1|0],dat[i<<1|1]);
    }
    void update(int k,Monoid x){
        dat[k+=n]=x;
        while(k>>=1) dat[k]=f(dat[k<<1|0],dat[k<<1|1]);
    }
    Monoid query(int a,int b){
        if (a>=b) return id;
        Monoid vl=id,vr=id;
        for (int l=a+n,r=b+n;l<r;l>>=1,r>>=1){
            if (l&1) vl=f(vl,dat[l++]);
            if (r&1) vr=f(dat[--r],vr);
        }
        return f(vl,vr);
    }
    template<typename C>
    int find_subtree(int k,const C &check,Monoid &M,bool type){
        while(k<n){
            Monoid nxt=type?f(dat[k<<1|type],M):f(M,dat[k<<1|type]);
            if (check(nxt)) k=k<<1|type;
            else M=nxt,k=k<<1|(type^1);
        }
        return k-n;
    }
    // min i s.t. f(seg[a],seg[a+1],...,seg[i]) satisfy "check"
    template<typename C>
    int find_first(int a,const C &check){
        Monoid L=id;
        if (a<=0){
            if (check(f(L,dat[1]))) return find_subtree(1,check,L,false);
            return -1;
        }
        int b=n;
        for (int l=a+n,r=b+n;l<r;l>>=1,r>>=1){
            if (l&1){
                Monoid nxt=f(L,dat[l]);
                if (check(nxt)) return find_subtree(l,check,L,false);
                L=nxt; ++l;
            }
        }
        return -1;
    }
    // max i s.t. f(seg[i],...,seg[b-2],seg[b-1]) satisfy "check"
    template<typename C>
    int find_last(int b,const C &check){
        Monoid R=id;
        if (b>=n){
            if (check(f(dat[1],R))) return find_subtree(1,check,R,true);
            return -1;
        }
        int a=n;
        for (int l=a,r=b+n;l<r;l>>=1,r>>=1){
            if (r&1){
                Monoid nxt=f(dat[--r],R);
                if (check(nxt)) return find_subtree(r,check,R,true);
                R=nxt;
            }
        }
        return -1;
    }
    Monoid operator[](int i){return dat[i+n];}
};

using mint=modint<MOD>;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N; cin >> N;
    vector<int> A(N);
    for (int i=0;i<N;++i) cin >> A[i];

    vector<int> dp(N,INF),lis(N),pos(N);
    vector<vector<pair<int,int>>> group(N+1);
    for (int i=0;i<N;++i){
        auto itr=lower_bound(dp.begin(),dp.end(),A[i]);
        lis[i]=itr-dp.begin()+1; *itr=A[i];
        group[lis[i]].emplace_back(A[i],i);
    }
    group[0].emplace_back(-INF,-1);
    for (int i=1;i<=N;++i) sort(group[i].begin(),group[i].end());
    vector<int> sz(N+1);
    for (int i=0;i<=N;++i){
        sz[i]+=group[i].size();
        if (i<N) sz[i+1]+=sz[i];
        if (i) for (int j=0;j<group[i].size();++j){
            pos[group[i][j].second]=sz[i-1]+j;
        }
    }

    SegmentTree<mint> seg(N+1,[](mint a,mint b){return a+b;},0);
    seg.update(0,1);
    for (int i=0;i<N;++i){
        int lb=-1,ub=group[lis[i]-1].size();
        while(ub-lb>1){
            int mid=(ub+lb)>>1;
            (group[lis[i]-1][mid].first<A[i]?lb:ub)=mid;
        }
        int l=sz[lis[i]-1]-group[lis[i]-1].size();
        // debug(lis[i],sz[lis[i]-1],ub,l,l+ub);
        seg.update(pos[i],seg.query(l,l+ub));
        // for (int j=0;j<=N;++j) cerr << seg[j] << (j==N?'\n':' ');
    }

    mint ans=0;
    for (int i=N;i>0;--i){
        if (!group[i].empty()){
            ans=seg.query(sz[i-1],sz[i]);
            cout << ans << '\n';
            return 0;
        }
    }
}
0