結果
問題 | No.8018 簡易版ページランク |
ユーザー | IL_msta |
提出日時 | 2017-03-18 04:36:21 |
言語 | C++11 (gcc 11.4.0) |
結果 |
AC
|
実行時間 | 169 ms / 2,000 ms |
コード長 | 12,354 bytes |
コンパイル時間 | 2,048 ms |
コンパイル使用メモリ | 137,440 KB |
実行使用メモリ | 11,776 KB |
最終ジャッジ日時 | 2024-07-04 14:35:15 |
合計ジャッジ時間 | 3,589 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
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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
6,812 KB |
testcase_01 | AC | 1 ms
6,940 KB |
testcase_02 | AC | 2 ms
6,944 KB |
testcase_03 | AC | 2 ms
6,940 KB |
testcase_04 | AC | 2 ms
6,944 KB |
testcase_05 | AC | 2 ms
6,944 KB |
testcase_06 | AC | 2 ms
6,940 KB |
testcase_07 | AC | 2 ms
6,940 KB |
testcase_08 | AC | 2 ms
6,940 KB |
testcase_09 | AC | 2 ms
6,944 KB |
testcase_10 | AC | 2 ms
6,940 KB |
testcase_11 | AC | 3 ms
6,944 KB |
testcase_12 | AC | 4 ms
6,944 KB |
testcase_13 | AC | 4 ms
6,940 KB |
testcase_14 | AC | 4 ms
6,940 KB |
testcase_15 | AC | 3 ms
6,940 KB |
testcase_16 | AC | 4 ms
6,940 KB |
testcase_17 | AC | 4 ms
6,944 KB |
testcase_18 | AC | 169 ms
11,520 KB |
testcase_19 | AC | 169 ms
11,776 KB |
testcase_20 | AC | 167 ms
11,648 KB |
testcase_21 | AC | 166 ms
11,648 KB |
testcase_22 | AC | 166 ms
11,648 KB |
ソースコード
#pragma region GNUC //https://yukicoder.me/wiki/auto_vectorization #ifdef __GNUC__ #pragma GCC optimize ("O3") #pragma GCC target ("avx") #endif #pragma endregion #define _USE_MATH_DEFINES #pragma region include #include <iostream> #include <iomanip> #include <stdio.h> #include <sstream> #include <algorithm> #include <cmath> #include <string> #include <cstring> #include <vector> #include <tuple> #include <queue> #include <complex> #include <set> #include <map> #include <stack> #include <list> #include <fstream> #include <random> #pragma endregion //#include ///////// #define REP(i, x, n) for(int i = x; i < n; ++i) #define rep(i,n) REP(i,0,n) ///////// #pragma region typedef typedef long long LL; typedef long double LD; typedef unsigned long long ULL; #pragma endregion //typedef ////定数 const int INF = (int)1e9; const int MOD = (int)1e9+7; const LL LINF = (LL)1e18; const double PI = acos(-1.0); const double EPS = 1e-9; ///////// using namespace::std; ///////// #pragma region Math // 最大公約数 template<class T> inline T gcd(T a, T b){return b ? gcd(b, a % b) : a;} //inline T gcd(T a, T b){return b == 0 ? a : gcd(b, a % b);} // 最小公倍数 template<class T> inline T lcm(T a, T b){return a / gcd(a, b) * b;} //inline T lcm(T a, T b){return a * b / gcd(a, b);} //繰り返し二乗法 template<class T,class S> T powMod(T num,int n,S mod=MOD){ if( n == 0 ){ return (T)1; } T mul = num; T ans = (T)1; while(n){ if( n&1){ ans = (ans*mul)%mod; } mul = (mul*mul)%mod; n >>= 1; } return ans; } #pragma endregion //math #pragma region template<class T> void UNIQUE(vector<T>& vec){ sort(vec.begin(),vec.end()); vec.erase(unique(vec.begin(),vec.end()),vec.end() ); } #pragma endregion // sort erase unique //////////////////////////////// #pragma region long long bitcount64(long long bits) { bits = (bits & 0x5555555555555555) + (bits >> 1 & 0x5555555555555555); bits = (bits & 0x3333333333333333) + (bits >> 2 & 0x3333333333333333); bits = (bits & 0x0f0f0f0f0f0f0f0f) + (bits >> 4 & 0x0f0f0f0f0f0f0f0f); bits = (bits & 0x00ff00ff00ff00ff) + (bits >> 8 & 0x00ff00ff00ff00ff); bits = (bits & 0x0000ffff0000ffff) + (bits >>16 & 0x0000ffff0000ffff); return (bits & 0x00000000ffffffff) + (bits >>32 & 0x00000000ffffffff); } #pragma endregion //その他 //////////////////////////////// struct edge{int to;LL cost;}; edge make_edge(int to,LL cost){ edge ret = {to,cost}; return ret; } #pragma region //グラフ void dijkstra(int root,int V,vector<LL>& dist, vector< vector<edge> > G ){ priority_queue<pair<LL,int>,vector<pair<LL,int> >,greater<pair<LL,int> > > que; dist.assign(V,LINF); dist[root] = 0; que.push(pair<LL,int>(0,root));//距離、頂点番号 while( !que.empty() ){ pair<LL,int> p = que.top();que.pop(); int v = p.second; if( dist[v] < p.first ) continue; for(int i=0;i < (int)G[v].size();++i){ edge e = G[v][i]; if( dist[e.to] > dist[v] + e.cost ){ dist[e.to] = dist[v] + e.cost; que.push(pair<LL,int>(dist[e.to],e.to)); } } } } #pragma endregion //ダイクストラ法:O(|E|log|V|) #pragma region //グラフ void warshall_floyd(vector<vector<LL> >& dist,int V,const LL INF=LINF){ for(int k=0;k<V;++k){ for(int i=0;i<V;++i){ if( dist[i][k] >= INF ) continue; for(int j=0;j<V;++j){ if( dist[k][j] >= INF )continue; dist[i][j] = min(dist[i][j],dist[i][k]+dist[k][j]); } } } } #pragma endregion //ワーシャルフロイド:O(|V|**3) #pragma region //グラフ bool is_bipartite(int v,int c,vector< vector<int> >& G,vector<int>& Color){ Color[v] = c; for(int i=0;i < (int)G[v].size();++i){//隣接グラフ if(Color[ G[v][i] ] == c ) return false; if(Color[ G[v][i] ] == 0 && !is_bipartite(G[v][i],-c,G,Color) ){ return false; } } return true; } bool is_bipartite(int Root,vector< vector<int> >& Graph){ int GraphSize = Graph.size(); vector<int> Color(GraphSize,0); const int ColorNo = 1; return is_bipartite(Root,ColorNo,Graph,Color); } #pragma endregion //二部グラフチェック is_bipartite(root,GraphList) #pragma region //http://sugarknri.hatenablog.com/entry/2016/07/16/165715 //LL inv[1000010]; void makeinv(vector<LL>& inv,const LL P){ int i; inv = vector<LL>(1000010,0); inv[1]=1; for(i=2;i<=1000000;i++){ inv[i] = inv[P%i] * (P-P/i)%P;//OVF } } ULL nCk(ULL N,ULL k){ static vector<LL> inv; if( inv.size() == 0 ){ makeinv(inv,MOD); } k = min(k,N-k); if( k == 0 ){return 1;} if( k == 1 ){return N%MOD;} ULL ret = 1; for(int i=1;i<=k;++i){ ret *= ((N+1-i)*inv[i])%MOD;//OVF ret %= MOD; } return ret; } #pragma endregion //組み合わせnCk(,10^5) #pragma region CGL class Point{ public: double x,y; Point(double x=0,double y=0):x(x),y(y){} Point operator + (Point p){return Point(add(x,p.x),add(y,p.y));} void operator += (Point p){x=add(x,p.x);y=add(y,p.y);} Point operator - (Point p){return Point(add(x,-p.x),add(y,-p.y));} void operator -= (Point p){x=add(x,-p.x);y=add(y,-p.y);} Point operator * (double a){return Point(x*a,y*a);} double operator * (Point p){return dot(p);} Point operator / (double a){return Point(x/a,y/a);} double norm(){return sqrt(x*x+y*y);} double dot(Point p){return add(x*p.x,y*p.y);} double rot(Point p){return add(x*p.y,-y*p.x);} double add(double a,double b){ double EPS = 1e-10; if( abs(a+b) < EPS*(abs(a)+abs(b)) ){ return 0; } return a+b; } }; istream& operator>>(istream& in,Point& P){ in >> P.x >> P.y; return in; } //線分で表した直線の交差判定 bool is_cross(Point p1,Point p2,Point q1,Point q2){ double res = (p2-p1).rot(q2-q1); return res != 0;//平行なら0 } //線分p1-p2上に点qがあるか判定 bool on_seg(Point p1,Point p2,Point q){ return (p1-q).rot(p2-q) == 0 && (p1-q).dot(p2-q) <= 0; } //直線p1-p2と直線q1-q2の交点 Point intersection(Point p1,Point p2,Point q1,Point q2){ return p1+(p2-p1)*((q2-q1).rot(q1-p1)/(q2-q1).rot(p2-p1)); } //線分p1-p2,と線分q1-q2の交差判定 //line segment:線分 bool LSI(Point p1,Point p2,Point q1,Point q2){ if( (p2-p1).rot(q1-p1) * (p2-p1).rot(q2-p1) < 0 ){ if( (q2-q1).rot(p1-q1) * (q2-q1).rot(p2-q1) < 0 ){ return true; } } return false; } enum PointPotion{ON_SEGMENT,COUNTER_CLOCKWISE,ONLINE_BACK,CLOCKWISE,ONLINE_FRONT}; PointPotion ccw(Point A,Point B,Point C){ B -= A;C -=A; if( B.rot(C) > 0 ) return COUNTER_CLOCKWISE; if( B.rot(C) < 0 ) return CLOCKWISE; if( B.dot(C) < 0 ) return ONLINE_BACK; if( B.norm() < C.norm() ) return ONLINE_FRONT; return ON_SEGMENT; } #pragma endregion //class Point #pragma region DSL #pragma region DSL class UnionFind{ public: int cNum;//要素数 vector<int> parent; vector<int> count; vector< vector<int> > GList; UnionFind(int n){ cNum = n; parent = vector<int>(n); count = vector<int>(n,1); GList.resize(n); for(int i=0;i<n;++i){ parent[i] = i; GList[i].push_back(i); } } int find(int x){ if( parent[x] == x ){return x;} return parent[x] = find( parent[x] ); } bool same(int x,int y){return find(x) == find(y);} int Count(int x){return count[find(x)];} void add(int x,int y){//union x = find(x); y = find(y); if( x==y )return; parent[x] = y; count[y] += count[x]; if( GList[y].size() < GList[x].size() ){ swap(GList[x],GList[y]); } GList[y].insert( GList[y].end(), GList[x].begin(),GList[x].end() ); } }; #pragma endregion //UnionFind #pragma region DSL class segment{ int n; int OTHER_VAL; int NUM_NULL; vector< int > dat; public: int getN(){return n;} void init(int size,int num=INF,int num_null=-1){//N:要素数,最大値 OTHER_VAL = num; NUM_NULL = num_null; n = 2; while(n < size ){ n <<= 1; } dat.assign(n<<1, OTHER_VAL ); } void init(vector<int> vec,int size,int num=INF){ OTHER_VAL = num; n = 2; while(n < size ){ n <<= 1; } dat.assign(n<<1,OTHER_VAL ); for(int i=0;i<size;++i){ update(i,vec[i]); } } int SELECT(int L,int R){ return min(L,R); } void update(int i,int x){ i += n; while(i){ dat[i] = SELECT(dat[i],x); i >>= 1; } } void update(int X,int Y,int VAL){ //全体の範囲は閉区間、 update(1,0,n-1,X,Y,VAL); } private: void update(int t,int L,int R,int X,int Y,int VAL){ //親から子へ進んでいく if( L == X && R == Y){ dat[t] = VAL; }else{ int mid = (L+R)/2; if( dat[t] != NUM_NULL ){//値の伝播 dat[t*2+0] = dat[t]; dat[t*2+1] = dat[t]; dat[t] = NUM_NULL; } if( Y <= mid ){ update(t*2+0,L,mid,X,Y,VAL); }else if( X > mid ){ update(t*2+1,mid+1,R,X,Y,VAL); }else{ update(t*2+0,L,mid,X,mid,VAL); update(t*2+1,mid+1,R,mid+1,Y,VAL); } } } public: //query(a,b,0,0,n)//[a,b)半開区間 int query(int a,int b){ return query(a,b,1,0,n);//n==getNを使う } private: int query(int a,int b,int k,int l,int r){ if(r<=a || b<=l)return OTHER_VAL;//交差しない if(a<=l && r<=b && dat[k]!=NUM_NULL)return dat[k]; int res = OTHER_VAL; int mid = (l+r)>>1; if( a < mid ) res = SELECT(res,query(a,b,k*2+0,l,mid) ); if( mid < b ) res = SELECT(res,query(a,b,k*2+1,mid,r) ); return res; } }; #pragma endregion //segment tree #pragma region DSL class BITree{//1-index int N; vector<LL> bit; public: BITree(int n){ N = n; bit = vector<LL>(N+1,0);//1-index } void add(int a,int w){ for(int i=a;i<=N;i += i & -i){ bit[i] += w; } } LL sum(int a){//[1,a)の和 LL ret = 0; for(int i=a; i > 0; i -= i & -i){ ret += bit[i]; } return ret; } }; #pragma endregion //BIndexTree #pragma endregion // #pragma region //辞書順で比較 bool cmp_x(const Point& p,const Point& q){ if( p.x != q.x ) return p.x < q.x; return p.y < q.y; } //凸包を求める vector<Point> convex_hull(vector<Point> ps,int n){ sort(ps.begin(),ps.end(), cmp_x); int k = 0;//凸包の頂点数 vector<Point> qs(n*2);//構築中の凸包 //下側の凸包の作成 for(int i=0;i<n;++i){ while(k>1 && (qs[k-1]-qs[k-2]).rot(ps[i]-qs[k-1]) <=0){ k--; } qs[k++] = ps[i]; } //上側凸包の作成 for(int i=n-2,t=k;i>=0;i--){ while(k>t && (qs[k-1]-qs[k-2]).rot(ps[i]-qs[k-1]) <=0){ k--; } qs[k++] = ps[i]; } qs.resize(k-1); return qs; } #pragma endregion //凸包 #pragma region template<class T,class U> istream& operator>>(istream& in,pair<T,U>& P){ in >> P.first >> P.second; return in; } #pragma endregion //cin pair<T,U> #pragma region //行列の積 template<class T> vector< vector<T> > operator*( vector<vector<T> >& A,vector< vector<T> >& B){ LL mod = MOD; int R = A.size(); int cen = A[0].size(); int C = B[0].size(); vector< vector<T> > ans(R,vector<T>(C,0) ); for(int row=0;row<R;++row){ for(int col=0;col<C;++col){ for(int inner=0;inner< cen;++inner){ //ans[row][col] = (ans[row][col] + A[row][inner]*B[inner][col])%mod; ans[row][col] = (ans[row][col] + A[row][inner]*B[inner][col]); } } } return ans; } template<class T> vector< vector<T> > powMod(vector< vector<T> > mat,LL N){ int R = mat.size(); int C = mat[0].size(); //R==C vector< vector<T> > I(R,vector<T>(C,0));//単位元 for(int i=0;i<R && i<C;++i){ I[i][i] = 1; } if( N == 0 ){ return I; } vector< vector<T> > mul(R,vector<T>(C)),ans(R,vector<T>(C)); ans = I; mul = mat; while(N){ if( N & 1 ){ ans = ans*mul; } N >>= 1; mul = mul*mul; } return ans; } #pragma endregion //行列 #pragma region #pragma endregion // //////////////////// void solve(){ int N,M; cin >> N >> M; vector< vector<double> > Mat(N,vector<double>(N,0.0)); vector< double > Prank(N,0); for(int i=0;i<M;++i){ int a,b,c; cin >> a >> b >> c; Mat[b][a] = 1.0*c; Prank[a] += 1.0*c; } //10^6 for(int r=0;r<N;++r){ for(int c=0;c<N;++c){ Mat[r][c] /= Prank[c]; } } vector< vector<double> > ans(N,vector<double>(1,10)); //vector< vector<double> > act(N,vector<double>(1,10));//各ページに10人 for(int i=0;i<100;++i){ ans = Mat*ans; }//N^2 * 100 := 10^8 //vector< vector< double > > B; //B = powMod(Mat,100); //ans = B*act; //ans = Mat*act; for(int i=0;i<N;++i){ cout << ans[i][0] << endl; } } #pragma region main signed main(void){ std::cin.tie(0); std::ios::sync_with_stdio(false); std::cout << std::fixed;//小数を10進数表示 cout << setprecision(16);//小数点以下の桁数を指定 solve(); } #pragma endregion //main()