結果
問題 | No.992 最長増加部分列の数え上げ |
ユーザー | haruki_K |
提出日時 | 2020-02-14 23:25:25 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 63 ms / 2,000 ms |
コード長 | 7,318 bytes |
コンパイル時間 | 1,790 ms |
コンパイル使用メモリ | 184,652 KB |
実行使用メモリ | 16,128 KB |
最終ジャッジ日時 | 2024-10-06 13:23:29 |
合計ジャッジ時間 | 5,043 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
5,248 KB |
testcase_02 | AC | 2 ms
5,248 KB |
testcase_03 | AC | 1 ms
5,248 KB |
testcase_04 | AC | 24 ms
7,936 KB |
testcase_05 | AC | 18 ms
6,784 KB |
testcase_06 | AC | 30 ms
8,960 KB |
testcase_07 | AC | 23 ms
7,552 KB |
testcase_08 | AC | 12 ms
5,504 KB |
testcase_09 | AC | 21 ms
7,680 KB |
testcase_10 | AC | 28 ms
8,832 KB |
testcase_11 | AC | 36 ms
10,496 KB |
testcase_12 | AC | 9 ms
5,248 KB |
testcase_13 | AC | 20 ms
7,296 KB |
testcase_14 | AC | 21 ms
7,424 KB |
testcase_15 | AC | 9 ms
5,248 KB |
testcase_16 | AC | 56 ms
14,848 KB |
testcase_17 | AC | 12 ms
5,632 KB |
testcase_18 | AC | 20 ms
7,168 KB |
testcase_19 | AC | 35 ms
10,376 KB |
testcase_20 | AC | 61 ms
16,000 KB |
testcase_21 | AC | 61 ms
15,872 KB |
testcase_22 | AC | 62 ms
16,128 KB |
testcase_23 | AC | 60 ms
16,060 KB |
testcase_24 | AC | 60 ms
16,020 KB |
testcase_25 | AC | 60 ms
15,884 KB |
testcase_26 | AC | 60 ms
16,048 KB |
testcase_27 | AC | 61 ms
15,984 KB |
testcase_28 | AC | 63 ms
15,996 KB |
testcase_29 | AC | 61 ms
15,948 KB |
testcase_30 | AC | 46 ms
14,200 KB |
testcase_31 | AC | 46 ms
14,408 KB |
testcase_32 | AC | 44 ms
14,400 KB |
testcase_33 | AC | 44 ms
14,264 KB |
testcase_34 | AC | 45 ms
14,324 KB |
testcase_35 | AC | 39 ms
15,732 KB |
testcase_36 | AC | 39 ms
15,728 KB |
testcase_37 | AC | 40 ms
15,600 KB |
testcase_38 | AC | 39 ms
15,600 KB |
testcase_39 | AC | 40 ms
15,532 KB |
testcase_40 | AC | 49 ms
15,208 KB |
testcase_41 | AC | 49 ms
15,228 KB |
testcase_42 | AC | 49 ms
15,348 KB |
testcase_43 | AC | 49 ms
15,220 KB |
testcase_44 | AC | 52 ms
15,212 KB |
ソースコード
// >>> TEMPLATES #include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; #define int ll #define double ld #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define rep1(i,n) for (int i = 1; i <= (int)(n); i++) #define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i,n) for (int i = (int)(n); i >= 1; i--) #define loop(i,a,B) for (int i = a; i B; i++) #define loopR(i,a,B) for (int i = a; i B; i--) #define all(x) (x).begin(), (x).end() #define allR(x) (x).rbegin(), (x).rend() #define pb push_back #define eb emplace_back #define mp make_pair #define fst first #define snd second #define INF (numeric_limits<int>::max()/2-1) #ifdef LOCAL #include "debug.hpp" #define dump(...) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__) #define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl #define debug if (1) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template <class T> using pque_max = priority_queue<T>; template <class T> using pque_min = priority_queue<T, vector<T>, greater<T> >; template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type> ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; } template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type> istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; } template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template <class F> struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward<F>(f)) {} template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); } }; struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template <class T, size_t d> struct vec_impl { using type = vector<typename vec_impl<T,d-1>::type>; template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); } }; template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } }; template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type; template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); } template <class T> void quit(T const& x) { cout << x << endl; exit(0); } template <class T> constexpr bool chmin(T& x, T const& y) { if (x > y) { x = y; return true; } return false; } template <class T> constexpr bool chmax(T& x, T const& y) { if (x < y) { x = y; return true; } return false; } template <class It> constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits<It>::value_type{}); } template <class T> int sz(T const& x) { return x.size(); } template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(v.begin(), v.end(), x)-v.begin(); } template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(v.begin(), v.end(), x)-v.begin(); } // <<< // >>> modint template <uint32_t MOD> struct ModInt { using u32 = uint32_t; using u64 = uint64_t; using i64 = int64_t; using M = ModInt; static constexpr u32 mul_inv(u32 n, int e = 5, u32 x = 1) { return e == 0 ? x : mul_inv(n, e-1, x*(2-x*n)); } static constexpr u32 mod = MOD; static constexpr u32 nn = mul_inv(MOD); static constexpr u32 r2 = -u64(MOD) % MOD; u32 x; constexpr ModInt(i64 x = 0) : x(reduce(((x%=MOD)<0 ? x+MOD : x)*r2)) {} static constexpr u32 reduce(u64 w) { return u32(w >> 32) + MOD - i64((u64(u32(w) * nn) * MOD) >> 32); } constexpr i64 val() const { i64 r = reduce(x); if (r >= MOD) r -= MOD; return r; } constexpr explicit operator i64() const { return val(); } constexpr bool operator==(M p) const { return val() == p.val(); } constexpr bool operator!=(M p) const { return val() != p.val(); } constexpr M operator+() const { return *this; } constexpr M operator-() const { M r; r.x = x ? i64(2*MOD)-x : 0; return r; } constexpr M &operator+=(M p) { i64 t = x; if (((t += p.x) -= 2*MOD) < 0) t += 2*MOD; x = t; return *this; } constexpr M &operator-=(M p) { return *this += -p; } constexpr M &operator*=(M p) { x = reduce(u64(x)*p.x); return *this; } constexpr M &operator/=(M p) { *this *= p.inv(); return *this; } constexpr M operator+(M p) const { return M(*this) += p; } constexpr M operator-(M p) const { return M(*this) -= p; } constexpr M operator*(M p) const { return M(*this) *= p; } constexpr M operator/(M p) const { return M(*this) /= p; } friend constexpr M operator+(i64 x, M y) { return M(x)+y; } friend constexpr M operator-(i64 x, M y) { return M(x)-y; } friend constexpr M operator*(i64 x, M y) { return M(x)*y; } friend constexpr M operator/(i64 x, M y) { return M(x)/y; } constexpr M inv() const { return pow(MOD - 2); } constexpr M pow(i64 n) const { if (n < 0) return inv().pow(-n); M v = *this, r = 1; for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v; return r; } friend ostream &operator<<(ostream &os, M p) { return os << p.val(); } friend istream &operator>>(istream &is, M &a) { u32 t; is >> t; a = t; return is; } #ifdef LOCAL friend string to_s(M const& p) { return to_s(p.val(), MOD); } #endif }; // <<< //constexpr int64_t MOD = 998244353; constexpr int64_t MOD = 1e9+7; using mint = ModInt<MOD>; int32_t main() { int n; cin >> n; vector<int> a(n); cin >> a; vector<vector<pair<int,int>>> v(n); { vector<int> dp(n,INF); rep (i,n) { int lb = lbd(dp,a[i]); dp[lb] = a[i]; v[lb].eb(a[i],i); } dump(dp); int m = lbd(dp,INF); v.resize(m); } dump(v); int m = v.size(); assert(m > 0); auto dp = make_v<mint,2>(m,0); rep (i,m) dp[i].resize(v[i].size()+1); rep (j,dp[0].size()-1) dp[0][j] = 1; rep (i,m-1) { rep (j,dp[i].size()-1) { dump(i); auto comp_val = [](auto p, auto q) { return p.fst > q.fst; }; auto comp_idx = [](auto p, auto q) { return p.snd < q.snd; }; int ub = lower_bound(all(v[i+1]),v[i][j],comp_val)-v[i+1].begin(); int lb = upper_bound(all(v[i+1]),v[i][j],comp_idx)-v[i+1].begin(); if (!(lb < ub)) continue; dump(i,lb,ub,dp[i+1].size()); dp[i+1][lb] += dp[i][j]; dp[i+1][ub] -= dp[i][j]; } rep (j,dp[i+1].size()-1) dp[i+1][j+1] += dp[i+1][j]; } cout << sumof(all(dp.back())) << endl; }