結果
問題 | No.2378 Cards and Subsequences |
ユーザー | tomo0608 |
提出日時 | 2023-07-07 23:22:30 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 32 ms / 2,000 ms |
コード長 | 11,870 bytes |
コンパイル時間 | 2,657 ms |
コンパイル使用メモリ | 224,288 KB |
実行使用メモリ | 19,072 KB |
最終ジャッジ日時 | 2024-07-21 19:47:12 |
合計ジャッジ時間 | 4,659 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 | 2 ms
6,812 KB |
testcase_01 | AC | 2 ms
6,940 KB |
testcase_02 | AC | 2 ms
6,944 KB |
testcase_03 | AC | 2 ms
6,940 KB |
testcase_04 | AC | 2 ms
6,940 KB |
testcase_05 | AC | 2 ms
6,944 KB |
testcase_06 | AC | 2 ms
6,940 KB |
testcase_07 | AC | 3 ms
6,944 KB |
testcase_08 | AC | 2 ms
6,940 KB |
testcase_09 | AC | 5 ms
6,944 KB |
testcase_10 | AC | 5 ms
6,940 KB |
testcase_11 | AC | 5 ms
6,944 KB |
testcase_12 | AC | 6 ms
6,940 KB |
testcase_13 | AC | 3 ms
6,944 KB |
testcase_14 | AC | 28 ms
19,072 KB |
testcase_15 | AC | 26 ms
19,072 KB |
testcase_16 | AC | 26 ms
19,072 KB |
testcase_17 | AC | 26 ms
19,072 KB |
testcase_18 | AC | 27 ms
19,072 KB |
testcase_19 | AC | 26 ms
19,072 KB |
testcase_20 | AC | 26 ms
18,944 KB |
testcase_21 | AC | 27 ms
19,072 KB |
testcase_22 | AC | 25 ms
19,072 KB |
testcase_23 | AC | 25 ms
19,072 KB |
testcase_24 | AC | 24 ms
19,072 KB |
testcase_25 | AC | 24 ms
18,944 KB |
testcase_26 | AC | 23 ms
19,072 KB |
testcase_27 | AC | 23 ms
19,072 KB |
testcase_28 | AC | 24 ms
19,072 KB |
testcase_29 | AC | 30 ms
19,072 KB |
testcase_30 | AC | 31 ms
19,072 KB |
testcase_31 | AC | 32 ms
19,072 KB |
testcase_32 | AC | 31 ms
19,072 KB |
testcase_33 | AC | 31 ms
19,072 KB |
testcase_34 | AC | 30 ms
19,072 KB |
testcase_35 | AC | 21 ms
19,072 KB |
testcase_36 | AC | 26 ms
19,072 KB |
testcase_37 | AC | 27 ms
19,072 KB |
testcase_38 | AC | 26 ms
18,944 KB |
testcase_39 | AC | 26 ms
19,072 KB |
testcase_40 | AC | 4 ms
6,940 KB |
ソースコード
#pragma region competitive_programming #ifdef __LOCAL #define _GLIBCXX_DEBUG #endif #pragma GCC optimize("Ofast") #include<bits/stdc++.h> //#include<atcoder/dsu> //#include "Rollback_dsu.hpp" //#include "Partial_Persistent_DSU.hpp" //#include<atcoder/math> #include<atcoder/modint> namespace tomo0608 { std::istream& operator>>(std::istream& is, atcoder::modint998244353& a) { long long v; is >> v; a = v; return is; } std::ostream& operator<<(std::ostream& os, const atcoder::modint998244353& a) { return os << a.val(); } std::istream& operator>>(std::istream& is, atcoder::modint1000000007& a) { long long v; is >> v; a = v; return is; } std::ostream& operator<<(std::ostream& os, const atcoder::modint1000000007& a) { return os << a.val(); } template<int m> std::istream& operator>>(std::istream& is, atcoder::static_modint<m>& a) { long long v; is >> v; a = v; return is; } template<int m> std::ostream& operator<<(std::ostream& os, const atcoder::static_modint<m>& a) { return os << a.val(); } template<int m> std::istream& operator>>(std::istream& is, atcoder::dynamic_modint<m>& a) { long long v; is >> v; a = v; return is; } template<int m> std::ostream& operator<<(std::ostream& os, const atcoder::dynamic_modint<m>& a) { return os << a.val(); } // Binomial Coefficient of modint template<class mint> struct BiCoef { std::vector<mint> fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int MOD = fact_[0].mod(); for (int i = 2; i < n; i++) { fact_[i] = fact_[i - 1] * i; inv_[i] = -inv_[MOD % i] * (MOD / i); finv_[i] = finv_[i - 1] * inv_[i]; } } constexpr mint com(int n, int k) const noexcept { if (n < k || n < 0 || k < 0)return 0; return fact_[n] * finv_[k] * finv_[n - k]; } constexpr mint perm(int n, int k) const noexcept { if (n < k || n < 0 || k < 0)return 0; return fact_[n] * finv_[n - k]; } constexpr mint homo(int n, int r) { // The number of cases where k indistinguishable balls are put into n distinct boxes if (n < 0 || r < 0)return 0; return r == 0 ? 1 : com(n + r - 1, r); } constexpr mint second_stirling_number(int n, int r) { // The number of cases where n distinct balls are put into k indistinguishable boxes, with at least one ball in each box mint ret = 0; for (int i = 0; i <= r; i++) { mint tmp = com(r, i) * mint(i).pow(n); ret += ((r - i) & 1) ? -tmp : tmp; } return ret * finv_[r]; } constexpr mint bell_number(int n, int r) { // The number of cases where n distinct balls are put into k indistinguishable boxes if (n == 0) return 1; r = std::min(r, n); std::vector<mint> pref(r + 1); pref[0] = 1; for (int i = 1; i <= r; i++) { if (i & 1) { pref[i] = pref[i - 1] - finv_[i]; } else { pref[i] = pref[i - 1] + finv_[i]; } } mint ret = 0; for (int i = 1; i <= r; i++) ret += mint(i).pow(n) * fact_[i] * pref[r - i]; return ret; } constexpr mint fact(int n) const noexcept { if (n < 0)return 0; return fact_[n]; } constexpr mint inv(int n) const noexcept { if (n < 0)return 0; return inv_[n]; } constexpr mint finv(int n) const noexcept { if (n < 0)return 0; return finv_[n]; } inline mint operator()(int n, int k) { return com(n, k); } constexpr mint com_naive(int n, int k) { if (n < k || n < 0 || k < 0)return 0; mint res = 1; k = std::min(k, n - k); for (int i = 1; i <= k; i++)res *= inv(i) * (n--); return res; } }; } // namespace tomo0608 //typedef atcoder::modint1000000007 mint; typedef atcoder::modint998244353 mint; //#include "Matrix.hpp" //#include<atcoder/convolution> //#include "Formal_Power_Series.hpp" //#include "Bit_Convolution.hpp" //#include<atcoder/maxflow> //#include<atcoder/mincostflow> //#include "Primal_Dual.hpp" //#include "maxflow_mincap.hpp" //#include<atcoder/fenwicktree> //#include<atcoder/segtree> //#include<atcoder/lazysegtree> //#include "2D_Segment_Tree.hpp" //#include "DisjointSparseTable.hpp" //#include "SWAG.hpp" //#include "Mo_algorithm.hpp" //#include "Heavy_Light_Decomposition.hpp" //#include "Binary_Trie.hpp" //#include "LCT.hpp" //#include "Slope_Trick.hpp" //#include<atcoder/string> //#include<atcoder/scc> namespace tomo0608 { typedef long long ll; typedef long double ld; template <class T> using V = std::vector<T>; template <class T> using VV = V<V<T>>; template <class T> using VVV = V<VV<T>>; typedef std::pair<int, int> pii; typedef std::pair<long long, long long> pll; template<class... T>void input(T&... a) { (std::cin >> ... >> a); }; #define INT(...) int __VA_ARGS__; IN(__VA_ARGS__) #define LL(...) long long __VA_ARGS__; IN(__VA_ARGS__) #define STR(...) string __VA_ARGS__; IN(__VA_ARGS__) #define DBL(...) double __VA_ARGS__; IN(__VA_ARGS__) #define VEC(type, name, size) std::vector<type> name(size);IN(name) #define VECVEC(type, name, h, w) std::vector<std::vector<type>> name(h, std::vector<type>(w));IN(name) template<class T1, class T2> std::istream& operator>>(std::istream& is, std::pair<T1, T2>& p) { is >> p.first >> p.second; return is; } template<class T1, class T2> std::ostream& operator<<(std::ostream& os, const std::pair<T1, T2>& p) { os << '(' << p.first << ", " << p.second << ')'; return os; } template<class T> std::istream& operator>>(std::istream& is, std::vector<T>& v) { for (auto& e : v) is >> e; return is; } template<class T> std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) { for (auto& e : v) os << e << ' '; return os; } template<typename T> std::ostream& operator << (std::ostream& os, std::set<T>& set_var) { os << "{"; for (auto itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr;++itr;if (itr != set_var.end()) os << ", ";itr--; }os << "}";return os; } template <typename T, typename U> std::ostream& operator<<(std::ostream& os, std::map<T, U>& map_var) { os << "{";for (auto itr = map_var.begin(); itr != map_var.end(); itr++) { os << *itr;itr++;if (itr != map_var.end()) os << ", ";itr--; }os << "}";return os; } void IN() {} template <class Head, class... Tail> void IN(Head& head, Tail &...tail) { std::cin >> head; IN(tail...); } void print() { std::cout << '\n'; } template<class T, class... Ts>void print(const T& a, const Ts&... b) { std::cout << a; (std::cout << ... << (std::cout << ' ', b)); std::cout << '\n'; } void drop() { std::cout << '\n';exit(0); } template<class T, class... Ts>void drop(const T& a, const Ts&... b) { std::cout << a; (std::cout << ... << (std::cout << ' ', b)); std::cout << '\n';exit(0); } #ifdef __LOCAL void debug_out() { std::cerr << std::endl; } template < class Head, class... Tail> void debug_out(Head H, Tail... T) { std::cerr << ' ' << H; debug_out(T...); } #define debug(...) std::cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) std::cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << std::endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif #define rep1(a) for(long long i = 0; i < a; i++) #define rep2(i, a) for(long long i = 0; i < a; i++) #define rep3(i, a, b) for(long long i = a; i < b; i++) #define rep4(i, a, b, c) for(long long i = a; i < b; i += c) #define drep1(a) for(long long i = a-1; i >= 0; i--) #define drep2(i, a) for(long long i = a-1; i >= 0; i--) #define drep3(i, a, b) for(long long i = a-1; i >= b; i--) #define drep4(i, a, b, c) for(long long i = a-1; i >= b; i -= c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define drep(...) overload4(__VA_ARGS__, drep4, drep3, drep2, drep1)(__VA_ARGS__) #define endl '\n' } // namespace tomo0608 namespace tomo0608 { #define ALL(x) x.begin(),x.end() template <class T = long long, class S> T SUM(const S& v) { return accumulate(ALL(v), T(0)); } #define MIN(v) *min_element(ALL(v)) #define MAX(v) *max_element(ALL(v)) #define SORT(v) sort(ALL(v)) #define REVERSE(v) reverse(ALL(v)) #define RSORT(v) sort(ALL(v)); reverse(ALL(v)) #define UNIQUE(x) SORT(x), x.erase(unique(ALL(x)), x.end()) #define lb(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define ub(c, x) distance((c).begin(), upper_bound(all(c), (x))) template <typename T> void zip(std::vector<T>& x) { std::vector<T> y = x;UNIQUE(y);for (int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); } } template<class T> using priority_queue_rev = std::priority_queue<T, std::vector<T>, std::greater<T>>; template<class T, class U> inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return 1; } return 0; } template<class T, class U> inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return 1; } return 0; } template<class T> inline int count_between(std::vector<T>& a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r) #define bittest(n, k) ((n >> k) & 1) int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); } int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); } int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); } int lowbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); } #define perm(v) for(bool permrepflag = true; (permrepflag ? exchange(permrepflag, false) : next_permutation(ALL(v)));) template <typename T, typename S> T ceil(T x, S y) { assert(y); return (y < 0 ? ceil(-x, -y) : (x > 0 ? (x + y - 1) / y : x / y)); } template <typename T, typename S> T floor(T x, S y) { assert(y); return (y < 0 ? floor(-x, -y) : (x > 0 ? x / y : x / y - (x % y == 0 ? 0 : 1))); } } //using namespace atcoder; using namespace std; using namespace tomo0608; int dx[8] = { 1, 0, -1, 0, 1, 1, -1, -1 }; int dy[8] = { 0, 1, 0, -1, 1, -1, -1, 1 }; // インタラクティブ問題のときは出力するたびにcout.flush();を忘れない!!!!! void solve(); int main() { std::cin.tie(0); std::ios_base::sync_with_stdio(false); std::cout << std::setprecision(20); int codeforces = 1; //cin >> codeforces; while (codeforces--) { solve(); } return 0; } #pragma endregion void solve() { LL(n, m, k); VEC(ll, s, n); VEC(ll, a, m); VEC(ll, b, m); V<int> pre(n, 0); V<ll> tmp(m, 0); rep(i, n) { pre[i] = tmp[--s[i]]; tmp[s[i]] = i + 1; } vector dp(n + 1, V<mint>(k + 1, 0)); dp[0][0] = 1; mint ans = 0; rep(i, n) { rep(l, k + 1) { if (l - a[s[i]] >= 0) { dp[i + 1][l] += dp[i][l - a[s[i]]]; if (pre[i] >= 1)dp[i + 1][l] -= dp[pre[i] - 1][l - a[s[i]]]; } if (l - b[s[i]] >= 0) { dp[i + 1][l] += dp[i][l - b[s[i]]]; if (pre[i] >= 1)dp[i + 1][l] -= dp[pre[i] - 1][l - b[s[i]]]; } } ans += dp[i + 1][k]; rep(l, k + 1)dp[i + 1][l] += dp[i][l]; } print(ans); }