結果
問題 | No.2230 Good Omen of White Lotus |
ユーザー |
![]() |
提出日時 | 2023-02-24 23:16:12 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 1,833 ms / 2,000 ms |
コード長 | 20,560 bytes |
コンパイル時間 | 3,937 ms |
コンパイル使用メモリ | 284,140 KB |
実行使用メモリ | 96,492 KB |
最終ジャッジ日時 | 2024-09-13 06:06:11 |
合計ジャッジ時間 | 29,752 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 44 |
ソースコード
#line 1 "library-cpp/other/template.hpp"// clang-format off#include <bits/stdc++.h>using namespace std;using uint = unsigned int;using ll = long long;using ull = unsigned long long;using i128 = __int128_t;using ld = long double;using pii = pair<int, int>;using pll = pair<long long, long long>;template <class T> using maxheap = priority_queue<T>;template <class T> using minheap = priority_queue<T, vector<T>, greater<T>>;template <class T> using vec = vector<T>;template <class T> using vvec = vector<vector<T>>;#define OVERLOAD_REP(_1, _2, _3, name, ...) name#define REP0(n) for (auto minato = decay_t<decltype(n)>{}; minato < (n); ++minato)#define REP1(i, n) for (auto i = decay_t<decltype(n)>{}; (i) < (n); (i)++)#define REP2(i, l, r) for (auto i = (l); (i) < (r); (i)++)#define rep(...) OVERLOAD_REP(__VA_ARGS__, REP2, REP1, REP0)(__VA_ARGS__)#define OVERLOAD_RREP(_1, _2, _3, name, ...) name#define RREP1(i, n) for (auto i = (n) - 1; (i) >= decay_t<decltype(n)>{}; (i)--)#define RREP2(i, l, r) for (auto i = (r) - 1; (i) >= (l); (i)--)#define rrep(...) OVERLOAD_RREP(__VA_ARGS__, RREP2, RREP1)(__VA_ARGS__)#define all(x) begin(x), end(x)template <class Container> int SZ(const Container& v) { return int(v.size()); }template <class T> void UNIQUE(vector<T>& v) { v.erase(unique(v.begin(), v.end()), v.end()); }template <class T> T MAX(const vector<T>& v) { return *max_element(v.begin(), v.end()); }template <class T> T MIN(const vector<T>& v) { return *min_element(v.begin(), v.end()); }template <class T> T SUM(const vector<T>& v) { return accumulate(v.begin(), v.end(), T(0)); }template <class T> T ABS(T x) { return max(x, -x); }template <class T1, class T2> bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; }template <class T1, class T2> bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; }int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); }int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); }int popcount(ull x) { return __builtin_popcountll(x); }int kthbit(ull x, int k) { return (x >> k) & 1; }constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x - 1) * 10; }template <typename S> void rearrange(const vector<S>& id) { (void)id; }template <typename S, typename T> void rearrange_exec(const vector<S>& id, vector<T>& v) { vector<T> w(v.size()); for (size_t i = 0; i < id.size(); i++) { w[i] = v[id[i]]; } v.swap(w); }template <typename S, typename Head, typename... Tail> void rearrange(const vector<S>& id, Head& a, Tail& ...tail) { rearrange_exec(id, a); rearrange(id, tail...); }istream& operator>>(istream& is, __int128_t& x) {x = 0;string s;is >> s;int n = int(s.size()), it = 0;if (s[0] == '-') it++;for (; it < n; it++) x = (x * 10 + s[it] - '0');if (s[0] == '-') x = -x;return is;}ostream& operator<<(ostream& os, __int128_t x) {if (x == 0) return os << 0;if (x < 0) os << '-', x = -x;deque<int> deq;while (x) deq.emplace_front(x % 10), x /= 10;for (int e : deq) os << e;return os;}template <class T> vector<T> &operator++(vector<T>& v) { for (auto& e : v) { e++; } return v;}template <class T> vector<T> operator++(vector<T>& v, int) { auto res = v; for (auto& e : v) { e++; } return res; }template <class T> vector<T> &operator--(vector<T>& v) { for (auto& e : v) { e--; } return v; }template <class T> vector<T> operator--(vector<T>& v, int) { auto res = v; for (auto& e : v) { e--; } return res; }template <class T1, class T2> pair<T1, T2> operator-(const pair<T1, T2>& x) { return pair<T1, T2>(-x.first, -x.second); }template <class T1, class T2> pair<T1, T2> operator-(const pair<T1, T2>& x, const pair<T1, T2>& y) { return pair<T1, T2>(x.first - y.first, x.second- y.second); }template <class T1, class T2> pair<T1, T2> operator+(const pair<T1, T2>& x, const pair<T1, T2>& y) { return pair<T1, T2>(x.first + y.first, x.second+ y.second); }template <class T1, class T2> pair<T1, T2> operator+=(pair<T1, T2>& l, const pair<T1, T2>& r) { return l = l + r; }template <class T1, class T2> pair<T1, T2> operator-=(pair<T1, T2>& l, const pair<T1, T2>& r) { return l = l - r; }constexpr char ln = '\n';const string YESNO[2] = {"NO", "YES"};const string YesNo[2] = {"No", "Yes"};void YES(bool t = true) { cout << YESNO[t] << "\n"; }void NO(bool t = 1) { YES(!t); }void Yes(bool t = true) { cout << YesNo[t] << "\n"; }void No(bool t = 1) { Yes(!t); }template <class T> void drop(T x) { cout << x << "\n"; exit(0); }#define INT(...) \int __VA_ARGS__; \IN(__VA_ARGS__)#define LL(...) \ll __VA_ARGS__; \IN(__VA_ARGS__)#define STR(...) \string __VA_ARGS__; \IN(__VA_ARGS__)#define CHR(...) \char __VA_ARGS__; \IN(__VA_ARGS__)#define LDB(...) \long double __VA_ARGS__; \IN(__VA_ARGS__)#define VEC(type, name, size) \vector<type> name(size); \IN(name)#define VEC2(type, name1, name2, size) \vector<type> name1(size), name2(size); \for (int i = 0; i < size; i++) IN(name1[i], name2[i])#define VEC3(type, name1, name2, name3, size) \vector<type> name1(size), name2(size), name3(size); \for (int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i])#define VEC4(type, name1, name2, name3, name4, size) \vector<type> name1(size), name2(size), name3(size), name4(size); \for (int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i], name4[i]);#define VV(type, name, N, M) \vector<vector<type>> name(N, vector<type>(M)); \IN(name)template <class T> void scan(T& a) { cin >> a; }template <class T> void scan(vector<T>& a) { for (auto& i : a) scan(i); }void IN() {}template <class Head, class... Tail> void IN(Head& head, Tail&... tail) { scan(head); IN(tail...); }void print() { cout << "\n"; }template <class T> void print(const vector<T>& v) { for (auto it = v.begin(); it != v.end(); ++it) { if (it != v.begin()) { cout << " "; } cout <<*it; } print(); }template <class T, class... Args> void print(const T& x, const Args& ... args) { cout << x; if (sizeof...(Args)) cout << " "; print(args...); }#ifdef MINATO_LOCALtemplate <class T1, class T2> ostream& operator<<(ostream& os, pair<T1, T2> p) { return os << "(" << p.first << ", " << p.second << ")"; }template <size_t N, class TUPLE> void debug_tuple(ostream& os, TUPLE _) { (void)os; (void)_; }template <size_t N, class TUPLE, class T, class ...Args> void debug_tuple(ostream &os, TUPLE t) { os << (N == 0 ? "" : ", ") << get<N>(t);debug_tuple<N + 1, TUPLE, Args...>(os, t); }template <class ...Args> ostream& operator<<(ostream& os, tuple<Args...> t) { os << "("; debug_tuple<0, tuple<Args...>, Args...>(os, t); return os <<")"; }string debug_delim(int& i) { return i++ == 0 ? "" : ", "; }#define debug_embrace(x) { int i = 0; os << "{"; { x } return os << "}"; }template <class T> ostream& operator<<(ostream& os, vector<T> v) { debug_embrace( for (T e : v) { os << debug_delim(i) << e; } ) }template <class T, size_t N> ostream& operator<<(ostream& os, array<T, N> a) { debug_embrace( for (T e : a) { os << debug_delim(i) << e; } ) }template <class T, size_t N> enable_if_t<!is_same_v<char, remove_cv_t<T>>, ostream>& operator<<(ostream& os, T(&a)[N]) { debug_embrace( for (T e : a){ os << debug_delim(i) << e; } ) }template <class Key> ostream& operator<<(ostream& os, set<Key> s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) }template <class Key, class T> ostream& operator<<(ostream& os, map<Key, T> mp) { debug_embrace( for (auto e : mp) { os << debug_delim(i) << e; }) }template <class Key> ostream& operator<<(ostream& os, multiset<Key> s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) }template <class T> ostream& operator<<(ostream& os, queue<T> q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.front(); } )}template <class T> ostream& operator<<(ostream& os, deque<T> q) { debug_embrace( for (T e : q) { os << debug_delim(i) << e; } ) }template <class T> ostream& operator<<(ostream& os, priority_queue<T> q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.top(); } ) }template <class T> ostream& operator<<(ostream& os, priority_queue<T, vector<T>, greater<T>> q) { debug_embrace( for (; !q.empty(); q.pop()) { os <<debug_delim(i) << q.top(); } ) }void debug_out() { cerr << endl; }template <class T, class... Args> void debug_out(const T& x, const Args& ... args) { cerr << " " << x; debug_out(args...); }#define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__)#else#define debug(...) (void(0))#endifstruct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(7); };} fast_ios_;///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// clang-format on#line 1 "library-cpp/mod/ModInt.hpp"template <int m> struct ModInt {public:static constexpr int mod() {return m;}static ModInt raw(int v) {ModInt x;x._v = v;return x;}ModInt() : _v(0) {}ModInt(long long v) {long long x = (long long)(v % (long long)(umod()));if (x < 0) x += umod();_v = (unsigned int)(x);}unsigned int val() const {return _v;}ModInt& operator++() {_v++;if (_v == umod()) _v = 0;return *this;}ModInt& operator--() {if (_v == 0) _v = umod();_v--;return *this;}ModInt operator++(int) {ModInt result = *this;++*this;return result;}ModInt operator--(int) {ModInt result = *this;--*this;return result;}ModInt& operator+=(const ModInt& rhs) {_v += rhs._v;if (_v >= umod()) _v -= umod();return *this;}ModInt& operator-=(const ModInt& rhs) {_v -= rhs._v;if (_v >= umod()) _v += umod();return *this;}ModInt& operator*=(const ModInt& rhs) {unsigned long long z = _v;z *= rhs._v;_v = (unsigned int)(z % umod());return *this;}ModInt& operator^=(long long n) {ModInt x = *this;*this = 1;if (n < 0) x = x.inv(), n = -n;while (n) {if (n & 1) *this *= x;x *= x;n >>= 1;}return *this;}ModInt& operator/=(const ModInt& rhs) {return *this = *this * rhs.inv();}ModInt operator+() const {return *this;}ModInt operator-() const {return ModInt() - *this;}explicit operator bool() const {return _v != 0;}ModInt pow(long long n) const {ModInt r = *this;r ^= n;return r;}ModInt inv() const {int a = _v, b = umod(), y = 1, z = 0, t;for (;;) {t = a / b;a -= t * b;if (a == 0) {assert(b == 1 || b == -1);return ModInt(b * z);}y -= t * z;t = b / a;b -= t * a;if (b == 0) {assert(a == 1 || a == -1);return ModInt(a * y);}z -= t * y;}}friend ModInt operator+(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) += rhs;}friend ModInt operator-(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) -= rhs;}friend ModInt operator*(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) *= rhs;}friend ModInt operator/(const ModInt& lhs, const ModInt& rhs) {return ModInt(lhs) /= rhs;}friend ModInt operator^(const ModInt& lhs, long long rhs) {return ModInt(lhs) ^= rhs;}friend bool operator==(const ModInt& lhs, const ModInt& rhs) {return lhs._v == rhs._v;}friend bool operator!=(const ModInt& lhs, const ModInt& rhs) {return lhs._v != rhs._v;}friend ModInt operator+(long long lhs, const ModInt& rhs) {return (ModInt(lhs) += rhs);}friend ModInt operator-(long long lhs, const ModInt& rhs) {return (ModInt(lhs) -= rhs);}friend ModInt operator*(long long lhs, const ModInt& rhs) {return (ModInt(lhs) *= rhs);}friend ostream& operator<<(ostream& os, const ModInt& M) {return os << M._v;}friend istream& operator>>(istream& is, ModInt& M) {long long x;is >> x;M = x;return is;}private:unsigned int _v;static constexpr unsigned int umod() {return m;}};#line 1 "library-cpp/mod/ModCombination.hpp"template <class M> struct ModCombination {public:ModCombination() {}ModCombination(int n) : n_(n), fac_(n + 1), facinv_(n + 1) {assert(1 <= n);fac_[0] = 1;for (int i = 1; i <= n; i++) fac_[i] = fac_[i - 1] * i;facinv_[n] = M(1) / fac_[n];for (int i = n; i >= 1; i--) facinv_[i - 1] = facinv_[i] * i;}M fac(int k) const {assert(0 <= k and k <= n_);return fac_[k];}M facinv(int k) const {assert(0 <= k and k <= n_);return facinv_[k];}M inv(int k) const {assert(1 <= k and k <= n_);return facinv_[k] * fac_[k - 1];}M P(int n, int k) const {if (k < 0 or k > n) return M(0);assert(n <= n_);return fac_[n] * facinv_[n - k];}M C(int n, int k) const {if (k < 0 or k > n) return M(0);assert(n <= n_);return fac_[n] * facinv_[n - k] * facinv_[k];}M H(int n, int k) const {if (n == 0 and k == 0) return M(1);return C(n + k - 1, n);}M catalan(int n) const {if (n == 0) return M(1);return C(2 * n, n) - C(2 * n, n - 1);}private:int n_;vector<M> fac_, facinv_;};#line 4 "G.cpp"using mint = ModInt<998244353>;// using mint = ModInt<1000000007>;template <typename T, typename F> struct SegmentTree {int N;int size;vector<T> seg;const F f;const T I;SegmentTree(F _f, const T& I_) : N(0), size(0), f(_f), I(I_) {}SegmentTree(int _N, F _f, const T& I_) : f(_f), I(I_) {init(_N);}SegmentTree(const vector<T>& v, F _f, T I_) : f(_f), I(I_) {init(v.size());for (int i = 0; i < (int)v.size(); i++) {seg[i + size] = v[i];}build();}void init(int _N) {N = _N;size = 1;while (size < N) size <<= 1;seg.assign(2 * size, I);}void set(int k, T x) {seg[k + size] = x;}void build() {for (int k = size - 1; k > 0; k--) {seg[k] = f(seg[2 * k], seg[2 * k + 1]);}}void update(int k, T x) {k += size;seg[k] = x;while (k >>= 1) {seg[k] = f(seg[2 * k], seg[2 * k + 1]);}}void add(int k, T x) {k += size;seg[k] = x;while (k >>= 1) {seg[k] = f(seg[2 * k], seg[2 * k + 1]);}}// query to [a, b)T query(int a, int b) {T L = I, R = I;for (a += size, b += size; a < b; a >>= 1, b >>= 1) {if (a & 1) L = f(L, seg[a++]);if (b & 1) R = f(seg[--b], R);}return f(L, R);}T& operator[](const int& k) {return seg[k + size];}// check(a[l] * ... * a[r-1]) が true となる最大の r// (右端まですべて true なら N を返す)template <class C> int max_right(int l, C check) {assert(0 <= l && l <= N);assert(check(I) == true);if (l == N) return N;l += size;T sm = I;do {while (l % 2 == 0) l >>= 1;if (!check(f(sm, seg[l]))) {while (l < size) {l = (2 * l);if (check(f(sm, seg[l]))) {sm = f(sm, seg[l]);l++;}}return l - size;}sm = f(sm, seg[l]);l++;} while ((l & -l) != l);return N;}// check(a[l] * ... * a[r-1]) が true となる最小の l// (左端まで true なら 0 を返す)template <typename C> int min_left(int r, C check) {assert(0 <= r && r <= N);assert(check(I) == true);if (r == 0) return 0;r += size;T sm = I;do {r--;while (r > 1 && (r % 2)) r >>= 1;if (!check(f(seg[r], sm))) {while (r < size) {r = (2 * r + 1);if (check(f(seg[r], sm))) {sm = f(seg[r], sm);r--;}}return r + 1 - size;}sm = f(seg[r], sm);} while ((r & -r) != r);return 0;}};#line 6 "data-structure-2d/segment-tree-on-range-tree.hpp"// S ... index_type// T ... value_type// F ... function_typetemplate <typename S, typename T, typename F> struct RangeTree {using Seg = SegmentTree<T, F>;using P = pair<S, S>;S N, M;const F f;T ti;vector<SegmentTree<T, F>> seg;vector<vector<S>> ys;vector<P> ps;RangeTree(const F& f_, const T& ti_) : f(f_), ti(ti_) {}void add_point(S x, S y) {ps.push_back(make_pair(x, y));}void build() {sort(begin(ps), end(ps));ps.erase(unique(begin(ps), end(ps)), end(ps));N = ps.size();for (int i = 0; i < 2 * N; ++i) seg.push_back(Seg{f, ti});ys.resize(2 * N);for (int i = 0; i < N; ++i) {ys[i + N].push_back(ps[i].second);seg[i + N].init(1);}for (int i = N - 1; i > 0; --i) {ys[i].resize(ys[i << 1].size() + ys[(i << 1) | 1].size());merge(begin(ys[(i << 1) | 0]), end(ys[(i << 1) | 0]),begin(ys[(i << 1) | 1]), end(ys[(i << 1) | 1]), begin(ys[i]));ys[i].erase(unique(begin(ys[i]), end(ys[i])), end(ys[i]));seg[i].init(ys[i].size());}}int id(S x) const {return lower_bound(begin(ps), end(ps), make_pair(x, S()),[](const P& a, const P& b) { return a.first < b.first; }) -begin(ps);}int id(int i, S y) const {return lower_bound(begin(ys[i]), end(ys[i]), y) - begin(ys[i]);}void add(S x, S y, T a) {int i = lower_bound(begin(ps), end(ps), make_pair(x, y)) - begin(ps);assert(ps[i] == make_pair(x, y));for (i += N; i; i >>= 1) seg[i].add(id(i, y), a);}T sum(S xl, S yl, S xr, S yr) {T L = ti, R = ti;int a = id(xl), b = id(xr);for (a += N, b += N; a < b; a >>= 1, b >>= 1) {if (a & 1) L = f(L, seg[a].query(id(a, yl), id(a, yr))), ++a;if (b & 1) --b, R = f(seg[b].query(id(b, yl), id(b, yr)), R);}return f(L, R);}};/** @brief 領域木(Segment Tree)*/void solve() {auto f = [](int a, int b) { return max(a, b); };RangeTree<int, int, decltype(f)> rtree(f, -1000000);INT(H, W, N, P);VEC2(int, X, Y, N);X--;Y--;vec<int> id(N);iota(all(id), 0);sort(all(id), [&](int i, int j) { return X[i] + Y[i] < X[j] + Y[j]; });rearrange(id, X, Y);rtree.add_point(0, 0);rep(i, N) rtree.add_point(X[i], Y[i]);rtree.build();rtree.add(0, 0, 0);rep(i, N) {int v = rtree.sum(0, 0, X[i] + 1, Y[i] + 1);debug(X[i], Y[i], v);rtree.add(X[i], Y[i], v + 1);debug(rtree.sum(0, 0, H, W));}int cnt = rtree.sum(0, 0, H, W);debug(cnt);mint ans = mint(1) - ((mint(P - 2) / P).pow(cnt) *(mint(P - 1) / P).pow(H + W - 3 - cnt));print(ans);}int main() {int T = 1;// cin >> T;for (int i = 0; i < T; i++) {solve();}}