結果
問題 | No.1136 Four Points Tour |
ユーザー | HEXAebmr |
提出日時 | 2020-07-28 10:43:39 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 2 ms / 2,000 ms |
コード長 | 9,347 bytes |
コンパイル時間 | 1,471 ms |
コンパイル使用メモリ | 133,396 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-06-28 20:34:09 |
合計ジャッジ時間 | 2,450 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 1 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 1 ms
5,376 KB |
testcase_07 | AC | 2 ms
5,376 KB |
testcase_08 | AC | 1 ms
5,376 KB |
testcase_09 | AC | 1 ms
5,376 KB |
testcase_10 | AC | 2 ms
5,376 KB |
testcase_11 | AC | 1 ms
5,376 KB |
testcase_12 | AC | 1 ms
5,376 KB |
testcase_13 | AC | 2 ms
5,376 KB |
testcase_14 | AC | 2 ms
5,376 KB |
testcase_15 | AC | 2 ms
5,376 KB |
testcase_16 | AC | 2 ms
5,376 KB |
testcase_17 | AC | 1 ms
5,376 KB |
testcase_18 | AC | 1 ms
5,376 KB |
testcase_19 | AC | 2 ms
5,376 KB |
testcase_20 | AC | 2 ms
5,376 KB |
testcase_21 | AC | 2 ms
5,376 KB |
01_Sample03_evil.txt | AC | 1 ms
5,376 KB |
04_Rnd_large_evil1.txt | AC | 1 ms
5,376 KB |
04_Rnd_large_evil2.txt | AC | 2 ms
5,376 KB |
04_Rnd_large_evil3.txt | AC | 2 ms
5,376 KB |
04_Rnd_large_evil4.txt | AC | 2 ms
5,376 KB |
04_Rnd_large_evil5.txt | AC | 1 ms
5,376 KB |
04_Rnd_large_evil6.txt | AC | 2 ms
5,376 KB |
04_Rnd_large_evil7.txt | AC | 1 ms
5,376 KB |
04_Rnd_large_evil8.txt | AC | 2 ms
5,376 KB |
04_Rnd_large_evil9.txt | AC | 2 ms
5,376 KB |
04_Rnd_large_evil10.txt | AC | 1 ms
5,376 KB |
05_Rnd_huge_evil1.txt | AC | 2 ms
5,376 KB |
05_Rnd_huge_evil2.txt | AC | 1 ms
5,376 KB |
05_Rnd_huge_evil3.txt | AC | 2 ms
5,376 KB |
05_Rnd_huge_evil4.txt | AC | 2 ms
5,376 KB |
05_Rnd_huge_evil5.txt | AC | 1 ms
5,376 KB |
05_Rnd_huge_evil6.txt | AC | 1 ms
5,376 KB |
05_Rnd_huge_evil7.txt | AC | 2 ms
5,376 KB |
99_evil_01.txt | AC | 1 ms
5,376 KB |
ソースコード
#include <iostream> #include <iomanip> #include <string> #include <stack> #include <vector> #include <complex> #include <math.h> #include <stdio.h> #include <algorithm> #include <utility> #include <functional> #include <iterator> #include <map> #include <set> #include <queue> #include <list> #include <regex> #include <limits> #include <time.h> #include <cstdint> using namespace std; using pii = pair<int,int>; using ll=long long; using ld=long double; #define pb push_back #define mp make_pair #define sc second #define fr first #define stpr setprecision #define cYES cout<<"YES"<<endl #define cNO cout<<"NO"<<endl #define cYes cout<<"Yes"<<endl #define cNo cout<<"No"<<endl #define rep(i,n) for(ll i=0;i<(n);++i) #define Rep(i,a,b) for(ll i=(a);i<(b);++i) #define rrep(i,n) for(ll i=n-1;i>=0;i--) #define rRep(i,a,b) for(ll i=a;i>=b;i--) #define crep(i) for(char i='a';i<='z';++i) #define psortsecond(A,N) sort(A,A+N,[](const pii &a, const pii &b){return a.second<b.second;}); #define ALL(x) (x).begin(),(x).end() #define debug(v) cout<<#v<<":";for(auto x:v){cout<<x<<' ';}cout<<endl; #define endl '\n' int ctoi(const char c){ if('0' <= c && c <= '9') return (c-'0'); return -1; } ll gcd(ll a,ll b){return (b == 0 ? a : gcd(b, a%b));} ll lcm(ll a,ll b){return a*b/gcd(a,b);} constexpr ll MOD=1000000007; constexpr ll INF=1000000011; constexpr ll MOD2=998244353; constexpr ll LINF = 1001002003004005006ll; constexpr ld EPS=10e-8; template <class T, class U> inline bool chmax(T& lhs, const U& rhs) { if (lhs < rhs) { lhs = rhs; return 1; } return 0; } template <class T, class U> inline bool chmin(T& lhs, const U& rhs) { if (lhs > rhs) { lhs = rhs; return 1; } return 0; } template<typename T> istream& operator>>(istream& is,vector<T>& v){for(auto&& x:v)is >> x;return is;} template<typename T,typename U> istream& operator>>(istream& is, pair<T,U>& p){ is >> p.first; is >> p.second; return is;} template<typename T,typename U> ostream& operator>>(ostream& os, const pair<T,U>& p){ os << p.first << ' ' << p.second; return os;} template<class T> ostream& operator<<(ostream& os, vector<T>& v){ for(auto i=begin(v); i != end(v); ++i){ if(i !=begin(v)) os << ' '; os << *i; } return os; } // modint template <std::uint_fast64_t Modulus> class modint { using u64 = std::uint_fast64_t; public: u64 a; constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {} constexpr u64 &value() noexcept { return a; } constexpr const u64 &value() const noexcept { return a; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint &operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } }; void printVector(vector<double> a, int x){//ベクトル出力 有効数字x桁 rep(i,a.size()){ cout << stpr(x) << a[i] << endl; } } void printMatrix(vector<vector<double>> a,int x){//行列出力 有効数字x桁 rep(i,a.size()){ rep(j,a[i].size()){ cout << stpr(x) << a[i][j] << " "; } cout << endl; } } vector<double> VectorAdd(vector<double> a,vector<double> b){ vector<double> c(a.size()); rep(i,a.size()){ c[i]=a[i]+b[i]; } return c; } vector<double> VectorSubtract(vector<double> a,vector<double> b){ vector<double> c(a.size()); rep(i,a.size()){ c[i]=a[i]-b[i]; } return c; } vector<double> VectorMultiply(vector<double> a,int b){ vector<double> c(a.size()); rep(i,a.size()){ c[i]=a[i]*b; } return c; } vector<vector<double>> MatrixSubtract(vector<vector<double>> a,vector<vector<double>> b){ vector<vector<double>> c(a.size(),vector<double>(a[0].size())); rep(i,a.size()){ rep(j,a[i].size()){ c[i][j]=a[i][j]-b[i][j]; } } return c; } vector<vector<double>> MatrixAdd(vector<vector<double>> a,vector<vector<double>> b){ // 行列と行列の和 // a.size() = aの行数 // a[0].size() = aの列数 vector<vector<double>> c(a.size(),vector<double>(a[0].size())); // 行数がa.size()、列数がa[0].size()の配列の配列を確保する rep(i,a.size()){ rep(j,a[i].size()){ c[i][j]=a[i][j]+b[i][j]; } } return c; // 行列を返す } vector<vector<double>> IntMatrixMultiply(vector<vector<double>> a,int b){ vector<vector<double>> c(a.size(),vector<double>(a[0].size())); rep(i,a.size()){ rep(j,a[i].size()){ c[i][j]=a[i][j]*b; } } return c; } vector<double> MatrixVectorMultiply(vector<vector<double>> a,vector<double> b){ vector<double> c(a.size()); rep(i,a.size()){ double sum=0; rep(j,a[i].size()){ sum+=a[i][j]*b[j]; } c[i]=sum; } return c; } vector<double> VectorMatrixMultiply(vector<double> a,vector<vector<double>> b){ vector<double> c(b[0].size()); rep(i,b[0].size()){ double sum=0; rep(j,a.size()){ sum+=a[j]*b[j][i]; } c[i]=sum; } return c; } vector<vector<double>> MatrixMatrixMultiply(vector<vector<double>> a,vector<vector<double>> b){ vector<vector<double>> c(a.size(),vector<double>(b[0].size(),0.0)); rep(i,a.size()){ rep(j,b[0].size()){ rep(k,a[0].size()){ c[i][j]+=a[i][k]*b[k][j]; } } } return c; } double VectorNorm1(vector<double> a){ double norm = 0; rep(i,a.size()){ norm+=fabs(a[i]); } return norm; } double VectorNorm2(vector<double> a){ double norm = 0; rep(i,a.size()){ norm+=a[i]*a[i]; } return sqrt(norm); } double VectorNormInfinity(vector<double> a){ double norm = 0; rep(i,a.size()){ norm=max(norm,a[i]); } return norm; } double MatrixNorm1(vector<vector<double>> a){ double norm = 0; rep(i,a[0].size()){ double sum=0; rep(j,a.size()){ sum+=fabs(a[j][i]); } norm=max(norm,sum); } return norm; } double MatrixNormInfinity(vector<vector<double>> a){ double norm = 0; rep(i,a.size()){ double sum=0; rep(j,a[i].size()){ sum+=fabs(a[i][j]); } norm=max(norm,sum); } return norm; } void PreDelete(vector<vector<double>> &a,vector<double> &b){ //前進消去過程 rep(i,a.size()-1){ Rep(j,i+1,a.size()){ double X=a[j][i]/a[i][i]; rep(k,a.size()+1){ a[j][k]-=a[i][k]*X; } b[j]-=b[i]*X; } } } void BackReplace(vector<vector<double>> &a,vector<double> &b){ //後退代入過程 rrep(i,a.size()){ double key=b[i]; if(i==a.size()-1){ b[i]=b[i]/a[i][i]; } else{ Rep(j,i+1,a.size()){ key-=a[i][j]*b[j]; } b[i]=key/a[i][i]; } } } vector<vector<double>> LUdecompfirst(vector<vector<double>> a){ // LU分解の行列を作るまで vector<vector<double>> C(a.size(),vector<double>(a.size(),0)),LU(a.size()); rep(key,a.size()-1){ rep(i,a.size()){ rep(j,a.size()){ if(j>i) C[i][j]=0; else if(j==i) C[i][j]=1; else if(key==j) C[i][j]=-a[i][j]/a[j][j]; else C[i][j]=0; } } a = MatrixMatrixMultiply(C,a); Rep(i,key,a.size()) LU[key].pb(a[key][i]); Rep(i,key+1,a.size()) LU[i].pb(-C[i][key]); } LU[a.size()-1].pb(a[a.size()-1][a.size()-1]); return LU; } vector<double> LUdecompsecond(vector<vector<double>> LU,vector<double> B){ // LU分解の行列を使って解を求める vector<double> x(LU.size(),0); vector<double> y; rep(i,LU.size()){ double SUM=B[i]; rep(j,i) SUM-=LU[i][j]*y[j]; y.pb(SUM); } rrep(i,LU.size()){ double SUM=y[i]; Rep(j,i,LU.size()) SUM-=LU[i][j]*x[j]; SUM/=LU[i][i]; x[i]=SUM; } return x; } vector<vector<ll>> Multiply_Matrix(ll lx,ll ly,ll ry,vector<vector<ll>> A_,vector<vector<ll>> B_,ll m){ //(左の行数、左の列数、右の列数、A、B、法とするmod(modを取らないときは-1) vector<vector<ll>> V_ (lx,vector<ll> (ry,0)); rep(i,lx){ rep(j,ry){ rep(k,ly){ V_[i][j]+=A_[i][k]*B_[k][j]; if(m!=-1){ V_[i][j]%=m; } } } } return V_; } // 行列累乗(上とセットで使う) vector<vector<ll>> Matrix_Modpow(ll ms,vector<vector<ll>> A,ll e,ll m){ // サイズmsの正方行列Aのe乗をmod mで求める(modを取らないときはm=-1) if(e==1){ return A; } vector<vector<ll>> cme = Matrix_Modpow(ms,A,e/2,m); cme = Multiply_Matrix(ms,ms,ms,cme,cme,m); if(e%2==1) cme = Multiply_Matrix(ms,ms,ms,cme,A,m); return cme; } int main(){ ll N;cin>>N; vector<vector<ll>> V(4,vector<ll>(4,1)); V[0][0]=0;V[1][1]=0;V[2][2]=0;V[3][3]=0; auto Y=Matrix_Modpow(4,V,N,MOD); cout<<Y[0][0]<<endl; }