結果

問題 No.1720 Division Permutation
ユーザー 👑 hos.lyric
提出日時 2021-10-22 21:51:29
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 751 ms / 4,000 ms
コード長 10,088 bytes
コンパイル時間 1,220 ms
コンパイル使用メモリ 111,524 KB
実行使用メモリ 31,712 KB
最終ジャッジ日時 2024-09-23 05:17:48
合計ジャッジ時間 28,519 ms
ジャッジサーバーID
(参考情報)
judge1 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 60
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
static constexpr unsigned M = M_;
unsigned x;
constexpr ModInt() : x(0U) {}
constexpr ModInt(unsigned x_) : x(x_ % M) {}
constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////
constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;
// T: monoid representing information of an interval.
// T() should return the identity.
// T(S s) should represent a single element of the array.
// T::push(T &l, T &r) should push the lazy update.
// T::merge(const T &l, const T &r) should merge two intervals.
template <class T> struct SegmentTreeRange {
int logN, n;
vector<T> ts;
SegmentTreeRange() {}
explicit SegmentTreeRange(int n_) {
for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
ts.resize(n << 1);
}
template <class S> explicit SegmentTreeRange(const vector<S> &ss) {
const int n_ = ss.size();
for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
ts.resize(n << 1);
for (int i = 0; i < n_; ++i) at(i) = T(ss[i]);
build();
}
T &at(int i) {
return ts[n + i];
}
void build() {
for (int u = n; --u; ) merge(u);
}
inline void push(int u) {
ts[u].push(ts[u << 1], ts[u << 1 | 1]);
}
inline void merge(int u) {
ts[u].merge(ts[u << 1], ts[u << 1 | 1]);
}
// Applies T::f(args...) to [a, b).
template <class F, class... Args>
void ch(int a, int b, F f, Args &&... args) {
assert(0 <= a); assert(a <= b); assert(b <= n);
if (a == b) return;
a += n; b += n;
for (int h = logN; h; --h) {
const int aa = a >> h, bb = b >> h;
if (aa == bb) {
if ((aa << h) != a || (bb << h) != b) push(aa);
} else {
if ((aa << h) != a) push(aa);
if ((bb << h) != b) push(bb);
}
}
for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
if (aa & 1) (ts[aa++].*f)(args...);
if (bb & 1) (ts[--bb].*f)(args...);
}
for (int h = 1; h <= logN; ++h) {
const int aa = a >> h, bb = b >> h;
if (aa == bb) {
if ((aa << h) != a || (bb << h) != b) merge(aa);
} else {
if ((aa << h) != a) merge(aa);
if ((bb << h) != b) merge(bb);
}
}
}
// Calculates T::f(args...) of a monoid type for [a, b).
// op(-, -) should calculate the product.
// e() should return the identity.
template <class Op, class E, class F, class... Args>
#if __cplusplus >= 201402L
auto
#else
decltype((std::declval<T>().*F())())
#endif
get(int a, int b, Op op, E e, F f, Args &&... args) {
assert(0 <= a); assert(a <= b); assert(b <= n);
if (a == b) return e();
a += n; b += n;
for (int h = logN; h; --h) {
const int aa = a >> h, bb = b >> h;
if (aa == bb) {
if ((aa << h) != a || (bb << h) != b) push(aa);
} else {
if ((aa << h) != a) push(aa);
if ((bb << h) != b) push(bb);
}
}
auto prodL = e(), prodR = e();
for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
if (aa & 1) prodL = op(prodL, (ts[aa++].*f)(args...));
if (bb & 1) prodR = op((ts[--bb].*f)(args...), prodR);
}
return op(prodL, prodR);
}
// Find min b s.t. T::f(args...) returns true,
// when called for the partition of [a, b) from left to right.
// Returns n + 1 if there is no such b.
template <class F, class... Args>
int findRight(int a, F f, Args &&... args) {
assert(0 <= a); assert(a <= n);
if ((T().*f)(args...)) return a;
if (a == n) return n + 1;
a += n;
for (int h = logN; h; --h) push(a >> h);
for (; ; a >>= 1) {
if (a & 1) {
if ((ts[a].*f)(args...)) {
for (; a < n; ) {
push(a);
a <<= 1;
if (!(ts[a].*f)(args...)) ++a;
}
return a - n + 1;
}
++a;
if (!(a & (a - 1))) return n + 1;
}
}
}
// Find max a s.t. T::f(args...) returns true,
// when called for the partition of [a, b) from right to left.
// Returns -1 if there is no such a.
template <class F, class... Args>
int findLeft(int b, F f, Args &&... args) {
assert(0 <= b); assert(b <= n);
if ((T().*f)(args...)) return b;
if (b == 0) return -1;
b += n;
for (int h = logN; h; --h) push((b - 1) >> h);
for (; ; b >>= 1) {
if ((b & 1) || b == 2) {
if ((ts[b - 1].*f)(args...)) {
for (; b <= n; ) {
push(b - 1);
b <<= 1;
if (!(ts[b - 1].*f)(args...)) --b;
}
return b - n - 1;
}
--b;
if (!(b & (b - 1))) return -1;
}
}
}
};
////////////////////////////////////////////////////////////////////////////////
constexpr int INF = 1001001001;
constexpr int MAX_K = 10;
int K;
struct Node {
int mn;
Mint sum[MAX_K + 1];
int lz;
Node() : mn(INF), sum{}, lz(0) {}
void push(Node &l, Node &r) {
l.add(lz);
r.add(lz);
lz = 0;
}
void merge(const Node &l, const Node &r) {
mn = min(l.mn, r.mn);
for (int k = 0; k <= K; ++k) {
sum[k] = 0;
if (mn == l.mn) sum[k] += l.sum[k];
if (mn == r.mn) sum[k] += r.sum[k];
}
}
void add(long long val) {
mn += val;
lz += val;
}
void addCnt(const Node &val) {
for (int k = 0; k < K; ++k) {
sum[k + 1] += val.sum[k];
}
}
Node get() const {
return *this;
}
};
Node get(SegmentTreeRange<Node> &seg, int a, int b) {
return seg.get(a, b,
[&](const Node &l, const Node &r) -> Node { Node ret; ret.merge(l, r); return ret; },
[&]() -> Node { return Node(); },
&Node::get);
}
int N;
vector<int> P;
int main() {
for (; ~scanf("%d%d", &N, &K); ) {
P.resize(N);
for (int i = 0; i < N; ++i) {
scanf("%d", &P[i]);
}
// (max - min) - (right - left)
SegmentTreeRange<Node> seg(N + 1);
for (int i = 0; i <= N; ++i) {
seg.at(i).mn = 0;
}
seg.at(0).sum[0] = 1;
seg.build();
vector<int> dn{-1}, up{-1};
for (int i = 0; i < N; ++i) {
for (; ; ) {
const int j = dn.back();
if (!~j || P[j] > P[i]) break;
dn.pop_back();
// cerr<<"dn ("<<dn.back()<<", "<<j<<"] "<<P[i]-P[j]<<endl;
seg.ch(dn.back() + 1, j + 1, &Node::add, P[i] - P[j]);
}
dn.push_back(i);
for (; ; ) {
const int j = up.back();
if (!~j || P[j] < P[i]) break;
up.pop_back();
// cerr<<"up ("<<up.back()<<", "<<j<<"] "<<P[j]-P[i]<<endl;
seg.ch(up.back() + 1, j + 1, &Node::add, P[j] - P[i]);
}
up.push_back(i);
seg.ch(0, i, &Node::add, -1);
const Node res = get(seg, 0, i + 1);
// cerr<<i<<": "<<res.mn<<"; ";pv(res.sum,res.sum+K+1);
if (res.mn == 0) {
seg.ch(i + 1, i + 2, &Node::addCnt, res);
}
}
const Node ans = get(seg, N, N + 1);
for (int k = 1; k <= K; ++k) {
printf("%u\n", ans.sum[k].x);
}
}
return 0;
}
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