結果
| 問題 | No.2571 列辞書順列 |
| ユーザー |
👑  hos.lyric
|
| 提出日時 | 2023-12-09 07:47:53 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 110 ms / 3,000 ms |
| コード長 | 8,882 bytes |
| コンパイル時間 | 1,273 ms |
| コンパイル使用メモリ | 118,996 KB |
| 実行使用メモリ | 8,960 KB |
| 最終ジャッジ日時 | 2024-09-27 03:43:19 |
| 合計ジャッジ時間 | 5,758 ms |
|
ジャッジサーバーID （参考情報） |
judge3 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 29 |
ソースコード
#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 <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#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> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
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; }
#define COLOR(s) ("\x1b[" s "m")
////////////////////////////////////////////////////////////////////////////////
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::pull(const T &l, const T &r) should pull two intervals.
template <class T> struct SegmentTreePoint {
int logN, n;
vector<T> ts;
SegmentTreePoint() : logN(0), n(0) {}
explicit SegmentTreePoint(int n_) {
for (logN = 0, n = 1; n < n_; ++logN, n <<= 1) {}
ts.resize(n << 1);
}
template <class S> explicit SegmentTreePoint(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; ) pull(u);
}
inline void pull(int u) {
ts[u].pull(ts[u << 1], ts[u << 1 | 1]);
}
// Changes the value of point a to s.
template <class S> void change(int a, const S &s) {
assert(0 <= a); assert(a < n);
ts[a += n] = T(s);
for (; a >>= 1; ) pull(a);
}
// Applies T::f(args...) to point a.
template <class F, class... Args>
void ch(int a, F f, Args &&... args) {
assert(0 <= a); assert(a < n);
(ts[a += n].*f)(args...);
for (; a >>= 1; ) pull(a);
}
// Calculates the product for [a, b).
T get(int a, int b) {
assert(0 <= a); assert(a <= b); assert(b <= n);
if (a == b) return T();
a += n; b += n;
T prodL, prodR, t;
for (int aa = a, bb = b; aa < bb; aa >>= 1, bb >>= 1) {
if (aa & 1) { t.pull(prodL, ts[aa++]); prodL = t; }
if (bb & 1) { t.pull(ts[--bb], prodR); prodR = t; }
}
t.pull(prodL, prodR);
return t;
}
// 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;
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 (; ; a >>= 1) if (a & 1) {
if ((ts[a].*f)(args...)) {
for (; a < n; ) {
if (!(ts[a <<= 1].*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 (; ; b >>= 1) if ((b & 1) || b == 2) {
if ((ts[b - 1].*f)(args...)) {
for (; b <= n; ) {
if (!(ts[(b <<= 1) - 1].*f)(args...)) --b;
}
return b - n - 1;
}
--b;
if (!(b & (b - 1))) return -1;
}
}
};
////////////////////////////////////////////////////////////////////////////////
int M;
// b = \sum[i] x[i]
// c = \sum[i] x[i] M^(len-1-i)
// d = \sum[i] x[i] (len-1-i)
struct Node {
int len;
Mint a, b, c, d;
Node() : len(0), a(1), b(0), c(0), d(0) {}
Node(int val) : len(1), a(M), b(val), c(val), d(0) {}
void pull(const Node &l, const Node &r) {
len = l.len + r.len;
a = l.a * r.a;
b = l.b + r.b;
c = l.c * r.a + r.c;
d = l.d + l.b * r.len + r.d;
}
};
int N, K, Q;
vector<int> A;
int main() {
for (; ~scanf("%d%d%d%d", &N, &M, &K, &Q); ) {
A.resize(N);
for (int i = 0; i < N; ++i) {
scanf("%d", &A[i]);
--A[i];
}
SegmentTreePoint<Node> seg(A);
for (int q = 0; q < Q; ++q) {
int O;
scanf("%d", &O);
if (O == 1) {
int L, R;
scanf("%d%d", &L, &R);
--L;
const auto res = seg.get(L, R);
// cerr<<L<<" "<<R<<": "<<res.len<<" "<<res.a<<" "<<res.b<<" "<<res.c<<endl;
Mint ans = 0;
if (M == 1) {
ans += res.d;
ans += res.b * (K + 1 - res.len);
} else {
// (M^(K-i)-1)/(M-1)
ans += res.c * Mint(M).pow(K + 1 - res.len);
ans -= res.b;
ans /= (M - 1);
}
// prefix
ans += res.len;
printf("%u\n", ans.x);
} else {
int X, Y;
scanf("%d%d", &X, &Y);
--X;
--Y;
seg.change(X, Y);
}
}
}
return 0;
}