結果
問題 | No.2688 Cell Proliferation (Hard) |
ユーザー |
|
提出日時 | 2024-03-20 23:27:38 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 5,254 bytes |
コンパイル時間 | 2,454 ms |
コンパイル使用メモリ | 210,964 KB |
最終ジャッジ日時 | 2025-02-20 10:09:23 |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | TLE * 1 -- * 25 |
ソースコード
#include<bits/stdc++.h>using namespace std;#define rep(i,n) for(ll i=0;i<n;i++)#define repl(i,l,r) for(ll i=(l);i<(r);i++)#define per(i,n) for(ll i=(n)-1;i>=0;i--)#define perl(i,r,l) for(ll i=r-1;i>=l;i--)#define fi first#define se second#define pb push_back#define ins insert#define pqueue(x) priority_queue<x,vector<x>,greater<x>>#define all(x) (x).begin(),(x).end()#define CST(x) cout<<fixed<<setprecision(x)#define vtpl(x,y,z) vector<tuple<x,y,z>>#define rev(x) reverse(x);using ll=long long;using vl=vector<ll>;using vvl=vector<vector<ll>>;using pl=pair<ll,ll>;using vpl=vector<pl>;using vvpl=vector<vpl>;const ll MOD=1000000007;const ll MOD9=998244353;const int inf=1e9+10;const ll INF=4e18;const ll dy[9]={0,1,-1,0,1,1,-1,-1,0};const ll dx[9]={1,0,0,-1,1,-1,1,-1,0};template<class T> inline bool chmin(T& a, T b) {if (a > b) {a = b;return true;}return false;}template<class T> inline bool chmax(T& a, T b) {if (a < b) {a = b;return true;}return false;}const int mod = MOD9;const int max_n = 600005;struct mint {ll x; // typedef long long ll;mint(ll x=0):x((x%mod+mod)%mod){}mint operator-() const { return mint(-x);}mint& operator+=(const mint a) {if ((x += a.x) >= mod) x -= mod;return *this;}mint& operator-=(const mint a) {if ((x += mod-a.x) >= mod) x -= mod;return *this;}mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;}mint operator+(const mint a) const { return mint(*this) += a;}mint operator-(const mint a) const { return mint(*this) -= a;}mint operator*(const mint a) const { return mint(*this) *= a;}mint pow(ll t) const {if (!t) return 1;mint a = pow(t>>1);a *= a;if (t&1) a *= *this;return a;}bool operator==(const mint &p) const { return x == p.x; }bool operator!=(const mint &p) const { return x != p.x; }bool operator<(const mint &p) const { return x < p.x; }// for prime modmint inv() const { return pow(mod-2);}mint& operator/=(const mint a) { return *this *= a.inv();}mint operator/(const mint a) const { return mint(*this) /= a;}};istream& operator>>(istream& is, mint& a) { return is >> a.x;}ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}using vm=vector<mint>;using vvm=vector<vm>;struct combination {vector<mint> fact, ifact;combination(int n):fact(n+1),ifact(n+1) {assert(n < mod);fact[0] = 1;for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i;ifact[n] = fact[n].inv();for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i;}mint operator()(int n, int k) {if (k < 0 || k > n) return 0;return fact[n]*ifact[k]*ifact[n-k];}}comb(max_n);unordered_map<ll,mint> memo;mint PR(ll t){if(memo.count(t))return memo[t];else return memo[t]=mint(3).pow(t);}unordered_map<ll,mint> memo2;mint INV(mint p){if(memo2.count(p.x))return memo2[p.x];else return memo2[p.x]=p.pow(MOD9-2);}namespace NTT {//MOD9のNTT auto c=NTT::mul(a,b)で受け取り。vector<mint> tmp;size_t sz = 1;mint PrimitiveRoot=3;struct NTTPart {static std::vector<mint> ntt(std::vector<mint> a, bool inv = false) {size_t mask = sz - 1;size_t p = 0;for (size_t i = sz >> 1; i >= 1; i >>= 1) {auto& cur = (p & 1) ? tmp : a;auto& nex = (p & 1) ? a : tmp;mint e = PR((MOD9 - 1) / sz * i);if (inv) e = INV(e);mint w = 1;for (size_t j = 0; j < sz; j += i) {for (size_t k = 0; k < i; ++k) {nex[j + k] = cur[((j << 1) & mask) + k] + cur[(((j << 1) + i) & mask) + k] * w;}w *= e;}++p;}if (p & 1) std::swap(a, tmp);if (inv) {mint invSz = INV(mint(sz));for (size_t i = 0; i < sz; ++i) a[i] *= invSz;}return a;}static std::vector<mint> mul(std::vector<mint> a, std::vector<mint> b) {a = ntt(a);b = ntt(b);for (size_t i = 0; i < sz; ++i) a[i] = a[i] * b[i];a = ntt(a, true);return a;}};std::vector<mint> mul(std::vector<mint> a, std::vector<mint> b) {size_t m = a.size() + b.size() - 1;sz = 1;while (m > sz) sz <<= 1;tmp.resize(sz);a.resize(sz, 0);b.resize(sz, 0);vector<mint> c=NTTPart::mul(a, b);c.resize(m);return c;}};mint p1,p2,q1,q2;vm a(1000010);vm dp(1000010);void induce(ll l,ll mid,ll r){vm ds;vm nds;for(ll i=l;i<mid;i++){ds.emplace_back(dp[i]);}for(ll i=0;i<r;i++){nds.emplace_back(a[i]);}auto ret=NTT::mul(ds,nds);mint sum=0;ll now=0;for(int i=mid;i<r;i++){dp[i]+=ret[i-1-l];}//cout << l << " " << mid << " " << r << endl;//rep(i,4)cout << dp[i] <<" ";cout << endl;}void dfs(ll l,ll r){if(l+1==r){//cout << dp[l] << endl;dp[l]*=p1;dp[l]+=a[l];return;}ll mid=(l+r)/2;dfs(l,mid);induce(l,mid,r);dfs(mid,r);}int main(){cin >> p1 >> p2 >> q1 >> q2;ll n;cin >> n;a[0]=1;q1/=q2;p1/=p2;mint c=1;for(ll i=1;i<=n;i++){c*=q1;a[i]=a[i-1]*c;}dfs(0,n+1);//rep(i,n+1)cout << dp[i] <<" ";cout << endl;cout << dp[n] << endl;}