結果
問題 | No.1996 <>< |
ユーザー | haruki_K |
提出日時 | 2022-07-01 21:54:21 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 72 ms / 2,000 ms |
コード長 | 12,321 bytes |
コンパイル時間 | 2,670 ms |
コンパイル使用メモリ | 219,596 KB |
実行使用メモリ | 6,824 KB |
最終ジャッジ日時 | 2024-11-26 04:49:50 |
合計ジャッジ時間 | 4,737 ms |
ジャッジサーバーID (参考情報) |
judge5 / 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
6,816 KB |
testcase_01 | AC | 2 ms
6,820 KB |
testcase_02 | AC | 2 ms
6,820 KB |
testcase_03 | AC | 2 ms
6,824 KB |
testcase_04 | AC | 2 ms
6,820 KB |
testcase_05 | AC | 2 ms
6,820 KB |
testcase_06 | AC | 2 ms
6,816 KB |
testcase_07 | AC | 2 ms
6,824 KB |
testcase_08 | AC | 2 ms
6,816 KB |
testcase_09 | AC | 2 ms
6,820 KB |
testcase_10 | AC | 2 ms
6,820 KB |
testcase_11 | AC | 29 ms
6,820 KB |
testcase_12 | AC | 56 ms
6,820 KB |
testcase_13 | AC | 72 ms
6,820 KB |
testcase_14 | AC | 63 ms
6,820 KB |
testcase_15 | AC | 58 ms
6,816 KB |
testcase_16 | AC | 46 ms
6,816 KB |
testcase_17 | AC | 57 ms
6,816 KB |
testcase_18 | AC | 33 ms
6,816 KB |
testcase_19 | AC | 38 ms
6,820 KB |
testcase_20 | AC | 41 ms
6,816 KB |
testcase_21 | AC | 52 ms
6,820 KB |
testcase_22 | AC | 61 ms
6,816 KB |
testcase_23 | AC | 3 ms
6,820 KB |
testcase_24 | AC | 32 ms
6,820 KB |
testcase_25 | AC | 15 ms
6,820 KB |
testcase_26 | AC | 27 ms
6,816 KB |
testcase_27 | AC | 6 ms
6,816 KB |
testcase_28 | AC | 2 ms
6,816 KB |
testcase_29 | AC | 15 ms
6,816 KB |
testcase_30 | AC | 2 ms
6,816 KB |
testcase_31 | AC | 6 ms
6,816 KB |
testcase_32 | AC | 2 ms
6,816 KB |
ソースコード
// >>> TEMPLATES #include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #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) begin(x), end(x) #define allR(x) rbegin(x), rend(x) #define pb push_back #define eb emplace_back #define fst first #define snd second template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1; auto constexpr INF32 = inf_<int32_t>; auto constexpr INF64 = inf_<int64_t>; auto constexpr INF = inf_<int>; #ifdef LOCAL #include "debug.hpp" #define oj_local(x, y) (y) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #define oj_local(x, y) (x) #endif template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } }; template <class T> using pque_max = pque<T, less<T>>; template <class T> using pque_min = pque<T, greater<T>>; template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0> ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0> ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type> istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; } template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; } 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, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; } template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)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(begin(v), end(v), x)-begin(v); } template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); } constexpr ll mod(ll x, ll m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; } constexpr ll div_floor(ll x, ll y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); } constexpr ll div_ceil(ll x, ll y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); } constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } mt19937_64 seed_{random_device{}()}; template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); } i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b] u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } // template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); } template <class V> V &operator--(V &v) { for (auto &x : v) --x; return v; } template <class V> V &operator++(V &v) { for (auto &x : v) ++x; return v; } bool next_product(vector<int> &v, int m) { repR (i, v.size()) if (++v[i] < m) return true; else v[i] = 0; return false; } bool next_product(vector<int> &v, vector<int> const& s) { repR (i, v.size()) if (++v[i] < s[i]) return true; else v[i] = 0; return false; } template <class vec> int sort_unique(vec &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); return v.size(); } template <class It> auto prefix_sum(It l, It r) { vector<typename It::value_type> s = { 0 }; while (l != r) s.emplace_back(s.back() + *l++); return s; } template <class It> auto suffix_sum(It l, It r) { vector<typename It::value_type> s = { 0 }; while (l != r) s.emplace_back(*--r + s.back()); reverse(s.begin(), s.end()); return s; } template <class T> T pop(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; } template <class T, class V, class C> T pop(priority_queue<T, V, C> &a) { auto x = a.top(); a.pop(); return x; } template <class T> T pop(queue<T> &a) { auto x = a.front(); a.pop(); return x; } template <class T> T pop_front(deque<T> &a) { auto x = a.front(); a.pop_front(); return x; } template <class T> T pop_back(deque<T> &a) { auto x = a.back(); a.pop_back(); return x; } template <class T> T pop_front(set<T> &a) { auto x = *a.begin(); a.erase(a.begin()); return x; } template <class T> T pop_back(set<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; } template <class T> T pop_front(multiset<T> &a) { auto it = a.begin(); auto x = *it; a.erase(it); return x; } template <class T> T pop_back(multiset<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; } // <<< // >>> modint template <uint32_t md> class modint { static_assert(md < (1u<<31), ""); using M = modint; using i64 = int64_t; uint32_t x; public: static constexpr uint32_t mod = md; constexpr modint(i64 x = 0) : x((x%=md) < 0 ? x+md : x) { } constexpr i64 val() const { return x; } constexpr explicit operator i64() const { return x; } constexpr bool operator==(M r) const { return x == r.x; } constexpr bool operator!=(M r) const { return x != r.x; } constexpr M operator+() const { return *this; } constexpr M operator-() const { return M()-*this; } constexpr M& operator+=(M r) { x += r.x; x = (x < md ? x : x-md); return *this; } constexpr M& operator-=(M r) { x += md-r.x; x = (x < md ? x : x-md); return *this; } constexpr M& operator*=(M r) { x = (uint64_t(x)*r.x)%md; return *this; } constexpr M& operator/=(M r) { return *this *= r.inv(); } constexpr M operator+(M r) const { return M(*this) += r; } constexpr M operator-(M r) const { return M(*this) -= r; } constexpr M operator*(M r) const { return M(*this) *= r; } constexpr M operator/(M r) const { return M(*this) /= r; } 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 { assert(x > 0); return pow(md-2); } constexpr M pow(i64 n) const { assert(not (x == 0 and n == 0)); 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; } #ifdef LOCAL friend string to_s(M r) { return to_s(r.val(), mod); } #endif friend ostream& operator<<(ostream& os, M r) { return os << r.val(); } friend istream& operator>>(istream& is, M &r) { i64 x; is >> x; r = x; return is; } }; // <<< //constexpr int64_t MOD = 998244353; constexpr int64_t MOD = 1e9+7; using mint = modint<MOD>; mint sign(int n) { return n & 1 ? -1 : +1; } // >>> mod table template <class mint> struct ModTable { vector<mint> fact, finv; void calc(int n) { int old = fact.size(); if (n < old) return; n += 1000; fact.resize(n+1); finv.resize(n+1); if (old == 0) { fact[0] = fact[1] = finv[0] = finv[1] = 1; old = 2; } for (auto i = old; i <= n; i++) fact[i] = fact[i-1] * i; finv[n] = mint(1) / fact[n]; for (auto i = n-1; i >= old; i--) finv[i] = finv[i+1] * (i+1); } }; ModTable<mint> mod_tab; mint fact(int n) { assert(0 <= n); return mod_tab.calc(n), mod_tab.fact[n]; } mint finv(int n) { assert(0 <= n); return mod_tab.calc(n), mod_tab.finv[n]; } mint comb(int n, int k) { if (n < 0 || k < 0 || n < k) return 0; mod_tab.calc(n); return mod_tab.fact[n] * mod_tab.finv[k] * mod_tab.finv[n-k]; } mint perm(int n, int k) { assert(k >= 0); assert(n >= k); mod_tab.calc(n); return mod_tab.fact[n] * mod_tab.finv[n-k]; } // <<< // >>> coordinate compression template <class T> struct Compress { vector<T> v; bool ok = 0; template <class... Ts> Compress(Ts const&... xs) { add(xs...); init(); } void add(T const& x) { ok = 0; v.push_back(x); } template <class V> void add(V const& u) { ok = false; copy(all(u), back_inserter(v)); } template <class... Ts> void add(Ts const&... xs) { (add(xs), ...); } void init() { sort(all(v)); v.erase(unique(all(v)), v.end()); ok = true; } int size() const { return v.size(); } T operator[](int i) const { assert(ok); return v[i]; } int find(T const& x) const { assert(ok); auto it = lower_bound(all(v), x); assert(*it == x); return it-v.begin(); } void set(T& x) const { x = find(x); } template <class V> void set(V& u) const { for (auto &x : u) x = find(x); } template <class... Ts> void set(Ts&... xs) const { (set(xs), ...); } }; // <<< // >>> BIT template <class T> struct BIT { int n; const T zero; vector<T> v; // use v[1..n] BIT(int n = 0, T zero = 0) : n(n), zero(zero), v(n+1, zero) {} int size() const { return n; } void clear() { fill(v.begin(), v.end(), zero); } T operator[](int i) const { return get(i); } T get(int i) const { return sum(i+1)-sum(i); } void set(int i, T x) { add(i, x-get(i)); } void add(int i, T x) { assert(0 <= i); assert(i < n); for (i++; i <= n; i += i&(-i)) v[i] += x; } T sum(int r) const { // [0, r) assert(0 <= r); assert(r <= n); T s = zero; for (int i = r; i > 0; i -= i&(-i)) s += v[i]; return s; } T sum(int l, int r) const { // [l, r) return sum(r)-sum(l); } vector<T> dat() const { auto ret = v; for (int i = n; i >= 1; --i) { int j = i + (i&-i); if (j <= n) ret[j] -= ret[i]; } ret.erase(ret.begin()); return ret; } }; // <<< int32_t main() { int n, K; cin >> n >> K; vector<int> a(n); cin >> a; string s; cin >> s; Compress<int> Z(a); Z.set(a); vector<mint> dp(n, 1); rep (j, K) { vector<mint> ndp(n); BIT<mint> bit(Z.size()); if (s[j] == '<') { rep (i, n) { ndp[i] = bit.sum(a[i]); bit.add(a[i], dp[i]); } } else { rep (i, n) { ndp[i] = bit.sum(a[i]+1, Z.size()); bit.add(a[i], dp[i]); } } swap(dp, ndp); } cout << sumof(all(dp)) << '\n'; }