結果
問題 | No.992 最長増加部分列の数え上げ |
ユーザー | akua |
提出日時 | 2023-04-20 22:29:08 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 759 ms / 2,000 ms |
コード長 | 6,211 bytes |
コンパイル時間 | 5,824 ms |
コンパイル使用メモリ | 237,996 KB |
実行使用メモリ | 79,304 KB |
最終ジャッジ日時 | 2024-04-27 04:47:27 |
合計ジャッジ時間 | 29,372 ms |
ジャッジサーバーID (参考情報) |
judge4 / 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 |
---|---|---|
testcase_00 | AC | 156 ms
34,536 KB |
testcase_01 | AC | 157 ms
34,452 KB |
testcase_02 | AC | 156 ms
34,540 KB |
testcase_03 | AC | 156 ms
34,608 KB |
testcase_04 | AC | 329 ms
51,300 KB |
testcase_05 | AC | 273 ms
46,400 KB |
testcase_06 | AC | 378 ms
55,404 KB |
testcase_07 | AC | 295 ms
50,340 KB |
testcase_08 | AC | 221 ms
42,652 KB |
testcase_09 | AC | 310 ms
50,092 KB |
testcase_10 | AC | 401 ms
55,272 KB |
testcase_11 | AC | 454 ms
59,048 KB |
testcase_12 | AC | 194 ms
39,624 KB |
testcase_13 | AC | 299 ms
49,796 KB |
testcase_14 | AC | 296 ms
49,296 KB |
testcase_15 | AC | 199 ms
39,816 KB |
testcase_16 | AC | 682 ms
72,596 KB |
testcase_17 | AC | 221 ms
42,524 KB |
testcase_18 | AC | 292 ms
49,536 KB |
testcase_19 | AC | 436 ms
59,804 KB |
testcase_20 | AC | 725 ms
76,072 KB |
testcase_21 | AC | 711 ms
75,160 KB |
testcase_22 | AC | 705 ms
77,820 KB |
testcase_23 | AC | 754 ms
76,208 KB |
testcase_24 | AC | 750 ms
76,164 KB |
testcase_25 | AC | 726 ms
76,220 KB |
testcase_26 | AC | 759 ms
77,760 KB |
testcase_27 | AC | 734 ms
77,780 KB |
testcase_28 | AC | 743 ms
79,304 KB |
testcase_29 | AC | 747 ms
76,192 KB |
testcase_30 | AC | 480 ms
73,368 KB |
testcase_31 | AC | 477 ms
73,244 KB |
testcase_32 | AC | 473 ms
73,212 KB |
testcase_33 | AC | 479 ms
73,244 KB |
testcase_34 | AC | 477 ms
73,240 KB |
testcase_35 | AC | 461 ms
72,988 KB |
testcase_36 | AC | 457 ms
72,984 KB |
testcase_37 | AC | 454 ms
73,108 KB |
testcase_38 | AC | 464 ms
72,988 KB |
testcase_39 | AC | 453 ms
73,108 KB |
testcase_40 | AC | 484 ms
72,984 KB |
testcase_41 | AC | 492 ms
72,984 KB |
testcase_42 | AC | 484 ms
72,984 KB |
testcase_43 | AC | 482 ms
73,240 KB |
testcase_44 | AC | 494 ms
72,984 KB |
ソースコード
#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include <atcoder/all> #include <iostream> // cout, endl, cin #include <string> // string, to_string, stoi #include <vector> // vector #include <algorithm> // min, max, swap, sort, reverse, lower_bound, upper_bound #include <utility> // pair, make_pair #include <tuple> // tuple, make_tuple #include <cstdint> // int64_t, int*_t #include <cstdio> // printf #include <map> // map #include <queue> // queue, priority_queue #include <set> // set #include <stack> // stack #include <deque> // deque #include <unordered_map> // unordered_map #include <unordered_set> // unordered_set #include <bitset> // bitset #include <cctype> // isupper, islower, isdigit, toupper, tolower #include <math.h> #include <iomanip> #include <functional> using namespace std; using namespace atcoder; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repi(i, a, b) for (int i = (int)(a); i < (int)(b); i++) typedef long long ll; typedef unsigned long long ull; const ll inf=1e18; using graph = vector<vector<int> > ; using P= pair<ll,ll>; using vi=vector<int>; using vvi=vector<vi>; using vll=vector<ll>; using vvll=vector<vll>; using vp=vector<P>; using vvp=vector<vp>; using vd=vector<double>; using vvd =vector<vd>; //string T="ABCDEFGHIJKLMNOPQRSTUVWXYZ"; //string S="abcdefghijklmnopqrstuvwxyz"; //g++ main.cpp -std=c++17 -I . //cout <<setprecision(20); //cout << fixed << setprecision(10); //cin.tie(0); ios::sync_with_stdio(false); const double PI = acos(-1); int vx[]={0,1,0,-1,-1,1,1,-1},vy[]={1,0,-1,0,1,1,-1,-1}; void putsYes(bool f){cout << (f?"Yes":"No") << endl;} void putsYES(bool f){cout << (f?"YES":"NO") << endl;} void putsFirst(bool f){cout << (f?"First":"Second") << endl;} void debug(int test){cout << "TEST" << " " << test << endl;} ll pow_pow(ll x,ll n,ll mod){ if(n==0) return 1; x%=mod; ll res=pow_pow(x*x%mod,n/2,mod); if(n&1)res=res*x%mod; return res; } ll gcd(ll x,ll y){ if(y==0)return x; return gcd(y,x%y); } ll lcm(ll x,ll y){ return ll(x/gcd(x,y))*y; } template<class T> bool chmin(T& a, T b) { if (a > b) { a = b; return true; } else return false; } template<class T> bool chmax(T& a, T b) { if (a < b) { a = b; return true; } else return false; } // https://youtu.be/L8grWxBlIZ4?t=9858 // https://youtu.be/ERZuLAxZffQ?t=4807 : optimize // https://youtu.be/8uowVvQ_-Mo?t=1329 : division //ll mod =998244353; ll mod =1e9+7; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, const mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} // combination mod prime // https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619 struct combination { vector<mint> fact, ifact; combination(int n):fact(n+1),ifact(n+1) { //assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; if (n<0) return 0; return fact[n]*ifact[k]*ifact[n-k]; } mint p(int n, int k) { return fact[n]*ifact[n-k]; } } c(2000000); using vm=vector<mint> ; using vvm=vector<vm> ; struct edge{ int to; ll cost; edge(int to,ll cost) : to(to),cost(cost){} }; using ve=vector<edge>; using vve=vector<ve>; struct Compress{ vll a; map<ll,ll> d,d2; int cnt; Compress() :cnt(0) {} void add(ll x){a.push_back(x);} void init(){ set<ll>s(a.begin(),a.end()); for(auto y:s)d[y]=cnt++; for(auto&y:a)y=d[y]; for(auto u:d)d2[u.second]=u.first; } ll to(ll x){return d[x];} //変換先 ll from(ll x){return d2[x];}//逆引き int size(){return cnt;} }; vll anss; using S=ll; S op(S a,S b){return max(a,b);} S e(){return -1;} void solve(int test){ int n; cin >> n; vll a(n+1,-inf);rep(i,n)cin >> a[i+1]; Compress comp; rep(i,n+1)comp.add(a[i]); comp.init(); rep(i,n+1)a[i]=comp.to(a[i]); int m=comp.size(); vll dp(n+1,-inf); dp[0]=0; segtree<S,op,e> seg(dp); for(int i=1; i<=n; i++){ dp[i]=seg.prod(0,a[i])+1; seg.set(a[i],max(seg.get(a[i]),dp[i])); } ll M=seg.all_prod(); vll maxv(M+1); vi is(n+1); for(int i=n; i>=0; i--){ if(dp[i]==M){ chmax(maxv[dp[i]],a[i]+0ll); is[i]=1; } else { if(maxv[dp[i]+1]>a[i]){ is[i]=1; chmax(maxv[dp[i]],a[i]); } } } vi ids; for(int i=0; i<=n; i++)if(is[i])ids.push_back(i); fenwick_tree<mint> fw(m); vm dp2(n+1); dp2[0]=1; vvi g(M+1); for(auto id: ids){ g[dp[id]].push_back(id); } rep(i,M-1+1){ vi vs; for(auto u:g[i])vs.push_back(u); for(auto u:g[i+1])vs.push_back(u); sort(vs.begin(),vs.end()); for(auto id:vs){ if(dp[id]==i){ fw.add(a[id],dp2[id]); } else { dp2[id]=fw.sum(0,a[id]); } } for(auto id:vs){ if(dp[id]==i){ fw.add(a[id],-dp2[id]); } } } mint ans=0; repi(i,1,n+1)if(dp[i]==M){ ans+=dp2[i]; } cout << ans << endl; } //g++ main.cpp -std=c++17 -I . int main(){cin.tie(0);ios::sync_with_stdio(false); int t=1;//cin >> t; rep(test,t)solve(test); for(auto u:anss)cout << u << endl; }