結果

問題 No.1294 マウンテン数列
ユーザー hitonanode
提出日時 2020-11-21 01:22:47
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 222 ms / 2,000 ms
コード長 6,352 bytes
コンパイル時間 2,272 ms
コンパイル使用メモリ 198,408 KB
最終ジャッジ日時 2025-01-16 03:41:31
ジャッジサーバーID
(参考情報)
judge5 / judge2
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ファイルパターン 結果
other AC * 17
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ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define REP(i, n) FOR(i,0,n)
template <int mod> struct ModInt {
#if __cplusplus >= 201402L
#define MDCONST constexpr
#else
#define MDCONST
#endif
using lint = long long;
static int get_mod() { return mod; }
static int get_primitive_root() {
static int primitive_root = 0;
if (!primitive_root) {
primitive_root = [&]() {
std::set<int> fac;
int v = mod - 1;
for (lint i = 2; i * i <= v; i++)
while (v % i == 0) fac.insert(i), v /= i;
if (v > 1) fac.insert(v);
for (int g = 1; g < mod; g++) {
bool ok = true;
for (auto i : fac)
if (ModInt(g).power((mod - 1) / i) == 1) {
ok = false;
break;
}
if (ok) return g;
}
return -1;
}();
}
return primitive_root;
}
int val;
MDCONST ModInt() : val(0) {}
MDCONST ModInt &_setval(lint v) {
val = (v >= mod ? v - mod : v);
return *this;
}
MDCONST ModInt(lint v) { _setval(v % mod + mod); }
explicit operator bool() const { return val != 0; }
MDCONST ModInt operator+(const ModInt &x) const { return ModInt()._setval((lint)val + x.val); }
MDCONST ModInt operator-(const ModInt &x) const { return ModInt()._setval((lint)val - x.val + mod); }
MDCONST ModInt operator*(const ModInt &x) const { return ModInt()._setval((lint)val * x.val % mod); }
MDCONST ModInt operator/(const ModInt &x) const { return ModInt()._setval((lint)val * x.inv() % mod); }
MDCONST ModInt operator-() const { return ModInt()._setval(mod - val); }
MDCONST ModInt &operator+=(const ModInt &x) { return *this = *this + x; }
MDCONST ModInt &operator-=(const ModInt &x) { return *this = *this - x; }
MDCONST ModInt &operator*=(const ModInt &x) { return *this = *this * x; }
MDCONST ModInt &operator/=(const ModInt &x) { return *this = *this / x; }
friend MDCONST ModInt operator+(lint a, const ModInt &x) { return ModInt()._setval(a % mod + x.val); }
friend MDCONST ModInt operator-(lint a, const ModInt &x) { return ModInt()._setval(a % mod - x.val + mod); }
friend MDCONST ModInt operator*(lint a, const ModInt &x) { return ModInt()._setval(a % mod * x.val % mod); }
friend MDCONST ModInt operator/(lint a, const ModInt &x) { return ModInt()._setval(a % mod * x.inv() % mod); }
MDCONST bool operator==(const ModInt &x) const { return val == x.val; }
MDCONST bool operator!=(const ModInt &x) const { return val != x.val; }
MDCONST bool operator<(const ModInt &x) const { return val < x.val; } // To use std::map<ModInt, T>
friend std::istream &operator>>(std::istream &is, ModInt &x) {
lint t;
return is >> t, x = ModInt(t), is;
}
MDCONST friend std::ostream &operator<<(std::ostream &os, const ModInt &x) { return os << x.val; }
MDCONST lint power(lint n) const {
lint ans = 1, tmp = this->val;
while (n) {
if (n & 1) ans = ans * tmp % mod;
tmp = tmp * tmp % mod, n /= 2;
}
return ans;
}
MDCONST ModInt pow(lint n) const { return power(n); }
MDCONST lint inv() const { return this->power(mod - 2); }
ModInt fac() const {
static std::vector<ModInt> facs;
int l0 = facs.size();
if (l0 > this->val) return facs[this->val];
facs.resize(this->val + 1);
for (int i = l0; i <= this->val; i++) facs[i] = (i == 0 ? ModInt(1) : facs[i - 1] * ModInt(i));
return facs[this->val];
}
ModInt doublefac() const {
lint k = (this->val + 1) / 2;
return (this->val & 1) ? ModInt(k * 2).fac() / (ModInt(2).pow(k) * ModInt(k).fac()) : ModInt(k).fac() * ModInt(2).pow(k);
}
ModInt nCr(const ModInt &r) const { return (this->val < r.val) ? 0 : this->fac() / ((*this - r).fac() * r.fac()); }
ModInt sqrt() const {
if (val == 0) return 0;
if (mod == 2) return val;
if (power((mod - 1) / 2) != 1) return 0;
ModInt b = 1;
while (b.power((mod - 1) / 2) == 1) b += 1;
int e = 0, m = mod - 1;
while (m % 2 == 0) m >>= 1, e++;
ModInt x = power((m - 1) / 2), y = (*this) * x * x;
x *= (*this);
ModInt z = b.power(m);
while (y != 1) {
int j = 0;
ModInt t = y;
while (t != 1) j++, t *= t;
z = z.power(1LL << (e - j - 1));
x *= z, z *= z, y *= z;
e = j;
}
return ModInt(std::min(x.val, mod - x.val));
}
};
using mint = ModInt<998244353>;
// 1-indexed BIT (i : [1, len])
template <typename T> struct BIT : std::vector<T> {
BIT(int len = 0) : std::vector<T>(len + 1) {}
void reset() { fill(this->begin(), this->end(), 0); }
void add(int pos, T v) {
while (pos > 0 and pos < (int)this->size()) (*this)[pos] += v, pos += pos & -pos;
}
T sum(int pos) const { // (0, pos]
T res = 0;
while (pos > 0) res += (*this)[pos], pos -= pos & -pos;
return res;
}
friend std::ostream &operator<<(std::ostream &os, const BIT &bit) {
T prv = 0;
os << '[';
for (int i = 1; i < (int)bit.size(); i++) {
T now = bit.sum(i);
os << now - prv << ",";
prv = now;
}
return os << ']';
}
};
int main()
{
cin.tie(nullptr), ios::sync_with_stdio(false);
int N;
cin >> N;
vector<int> A(N);
for (auto &x : A) cin >> x;
const int Amax = A.back();
const mint p2 = mint(2).pow(N - 1);
int dlo = 0;
REP(i, N - 1) dlo = max(dlo, A[i + 1] - A[i]);
mint ret = p2 * dlo;
reverse(A.begin(), A.end());
FOR(d, dlo, Amax) {
BIT<mint> bit(Amax);
bit.add(A[0], 2);
int aprv = A[1];
for (auto a : A) {
if (a < A[1]) {
mint apadd = bit.sum(min(a + d, Amax));
bit.add(aprv, apadd);
aprv = a;
}
}
ret += (p2 - bit.sum(Amax));
}
cout << ret << '\n';
}
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