A - Floor, Ceil - Decomposition
- Time : O(logn)
- Space : O(logn)
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| #include <bits/stdc++.h>
#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")
struct PairHash {
inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }
};
#define MAX_N 1010101
#define INF 987654321
#define EPS 1e-9
#define ll long long
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vall3 vector<array<ll,3>>
#define all3 array<ll,3>
#define all5 array<ll,5>
#define vall5 vector<all5>
#define vll vector<ll>
#define vi vector<int>
#define vs vector<string>
#define usll unordered_set<ll>
#define uspll unordered_set<pll, PairHash>
#define umll unordered_map<ll,ll>
#define vvs vector<vs>
#define vvll vector<vll>
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
using namespace std;
ll mod = 998244353;
umll dp;
ll modpow(ll x, ll n) {
if(n == 0) return 1;
ll res = modpow(x, n>>1);
res = (res * res) % mod;
if(n & 1) res = (res * x) % mod;
return res;
}
ll solve(ll n) {
if(n <= 3) return n;
if(dp.count(n)) return dp[n];
ll& res = dp[n];
ll p = 0;
while(!(n & 1) and n > 3) {
p++;
n>>=1;
}
if(n <= 3) return res = modpow(n, 1ll<<p);
return res = modpow(solve(n / 2) * solve(n / 2 + 1) % mod, 1<<p);
}
int main() {
ios_base::sync_with_stdio(0);
ios::sync_with_stdio(0);
cin.tie(0);
ll tc = 1;
for (ll i = 1; i <= tc; i++) {
ll n;
cin>>n;
cout<<solve(n)<<endl;
}
return 0;
}
|
