結果
問題 | No.1751 Fortune Nim |
ユーザー |
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提出日時 | 2021-11-19 21:49:09 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 88 ms / 2,000 ms |
コード長 | 2,203 bytes |
コンパイル時間 | 4,184 ms |
コンパイル使用メモリ | 261,404 KB |
最終ジャッジ日時 | 2025-01-25 20:15:08 |
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 30 |
ソースコード
#include <stdio.h>#include <bits/stdc++.h>#include <atcoder/all>using namespace atcoder;using mint = modint998244353;using namespace std;#define rep(i,n) for (int i = 0; i < (n); ++i)#define Inf 1000000001template <class S,S (*op0)(S, S),S (*e0)(),S (*op1)(S, S),S (*e1)()>struct matrix{vector<vector<S>> v;int _h,_w;matrix(vector<vector<S>> X){v = X;_h = X.size();_w = 0;if(X.size()>0)_w = X[0].size();}matrix(int h,int w){v.resize(h,vector<S>(w,e0()));_h = h;_w = w;}void add_element(int from,int to,S x){v[to][from] = op0(v[to][from],x);}matrix e(){assert(_h==_w);matrix<S,op0,e0,op1,e1> ret(_h,_w);for(int i=0;i<_h;i++){for(int j=0;j<_w;j++){if(i==j)ret.v[i][j] = e1();else ret.v[i][j] = e0();}}return ret;}matrix &operator*=(const matrix &another){matrix<S,op0,e0,op1,e1> ret(_h,another._w);for(int i=0;i<_h;i++){for(int j=0;j<another._w;j++){ret.v[i][j] = e0();for(int k=0;k<_w;k++){ret.v[i][j] = op0(ret.v[i][j],op1(v[i][k],another.v[k][j]));}}}v = ret.v;return (*this);}matrix operator*(const matrix &another)const{return (matrix(*this)*=another);}matrix pow(long long cnt){matrix<S,op0,e0,op1,e1> ret = e();auto temp = *this;while(cnt!=0LL){if((cnt&1)==1){ret *= temp;}temp *= temp;cnt>>=1;}return ret;}};mint op0(mint a,mint b){return a+b;}mint e0(){return 0;}mint op1(mint a,mint b){return a*b;}mint e1(){return 1;}int main(){int n;cin>>n;vector<long long> a(n);long long s=0,sum =0;rep(i,n){cin>>a[i];s ^= a[i];sum += a[i];}long long need = 0;if(s==0){need = sum;}else{need = sum;rep(i,n){if((a[i]^s)<=a[i]){need = min(need,sum - (a[i] - (a[i]^s)) + 1LL);}}}matrix<mint,op0,e0,op1,e1> M(2,2);mint temp = mint(3).inv();rep(i,2){rep(j,2){if(i==j)M.add_element(i,j,temp);else M.add_element(i,j,temp*2);}}M = M.pow(need);matrix<mint,op0,e0,op1,e1> MM(2,1);MM.v[1][0] = 1;M *= MM;cout<<M.v[0][0].val()<<endl;return 0;}