結果
問題 | No.1261 数字集め |
ユーザー | LayCurse |
提出日時 | 2020-10-16 23:12:31 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 20,718 bytes |
コンパイル時間 | 3,182 ms |
コンパイル使用メモリ | 218,988 KB |
実行使用メモリ | 236,396 KB |
最終ジャッジ日時 | 2024-07-21 04:23:54 |
合計ジャッジ時間 | 26,205 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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テストケース
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testcase_00 | TLE | - |
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ソースコード
#pragma GCC optimize ("Ofast") #include<bits/stdc++.h> using namespace std; #define MD (1000000007U) void*wmem; char memarr[96000000]; template<class S, class T> inline S min_L(S a,T b){ return a<=b?a:b; } template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } struct Modint{ unsigned val; Modint(){ val=0; } Modint(int a){ val = ord(a); } Modint(unsigned a){ val = ord(a); } Modint(long long a){ val = ord(a); } Modint(unsigned long long a){ val = ord(a); } inline unsigned ord(unsigned a){ return a%MD; } inline unsigned ord(int a){ a %= (int)MD; if(a < 0){ a += MD; } return a; } inline unsigned ord(unsigned long long a){ return a%MD; } inline unsigned ord(long long a){ a %= (int)MD; if(a < 0){ a += MD; } return a; } inline unsigned get(){ return val; } inline Modint &operator+=(Modint a){ val += a.val; if(val >= MD){ val -= MD; } return *this; } inline Modint &operator-=(Modint a){ if(val < a.val){ val = val + MD - a.val; } else{ val -= a.val; } return *this; } inline Modint &operator*=(Modint a){ val = ((unsigned long long)val*a.val)%MD; return *this; } inline Modint &operator/=(Modint a){ return *this *= a.inverse(); } inline Modint operator+(Modint a){ return Modint(*this)+=a; } inline Modint operator-(Modint a){ return Modint(*this)-=a; } inline Modint operator*(Modint a){ return Modint(*this)*=a; } inline Modint operator/(Modint a){ return Modint(*this)/=a; } inline Modint operator+(int a){ return Modint(*this)+=Modint(a); } inline Modint operator-(int a){ return Modint(*this)-=Modint(a); } inline Modint operator*(int a){ return Modint(*this)*=Modint(a); } inline Modint operator/(int a){ return Modint(*this)/=Modint(a); } inline Modint operator+(long long a){ return Modint(*this)+=Modint(a); } inline Modint operator-(long long a){ return Modint(*this)-=Modint(a); } inline Modint operator*(long long a){ return Modint(*this)*=Modint(a); } inline Modint operator/(long long a){ return Modint(*this)/=Modint(a); } inline Modint operator-(void){ Modint res; if(val){ res.val=MD-val; } else{ res.val=0; } return res; } inline operator bool(void){ return val!=0; } inline operator int(void){ return get(); } inline operator long long(void){ return get(); } inline Modint inverse(){ int a = val; int b = MD; int u = 1; int v = 0; int t; Modint res; while(b){ t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } if(u < 0){ u += MD; } res.val = u; return res; } inline Modint pw(unsigned long long b){ Modint a(*this); Modint res; res.val = 1; while(b){ if(b&1){ res *= a; } b >>= 1; a *= a; } return res; } inline bool operator==(int a){ return ord(a)==val; } inline bool operator!=(int a){ return ord(a)!=val; } } ; inline Modint operator+(int a, Modint b){ return Modint(a)+=b; } inline Modint operator-(int a, Modint b){ return Modint(a)-=b; } inline Modint operator*(int a, Modint b){ return Modint(a)*=b; } inline Modint operator/(int a, Modint b){ return Modint(a)/=b; } inline Modint operator+(long long a, Modint b){ return Modint(a)+=b; } inline Modint operator-(long long a, Modint b){ return Modint(a)-=b; } inline Modint operator*(long long a, Modint b){ return Modint(a)*=b; } inline Modint operator/(long long a, Modint b){ return Modint(a)/=b; } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline int rd_int(void){ int x; rd(x); return x; } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar_unlocked(a); } inline void wt_L(int x){ int s=0; int m=0; char f[10]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar_unlocked('-'); } while(s--){ my_putchar_unlocked(f[s]+'0'); } } inline void wt_L(Modint x){ int i; i = (int)x; wt_L(i); } template<class T> struct Matrix{ int r; int c; int mem; T*dat; Matrix(){ r=c=mem = 0; } Matrix(const int rr, const int cc){ if(rr == 0 || cc == 0){ r = c = 0; } else{ r = rr; c = cc; } mem = r * c; if(mem > 0){ dat = new T[mem]; } } Matrix(const Matrix<T> &a){ int i; r = a.r; c = a.c; mem = r * c; dat = new T[mem]; for(i=(0);i<(mem);i++){ dat[i] = a.dat[i]; } } ~Matrix(){ if(mem){ delete [] dat; } } void changeSize(const int rr, const int cc){ if(rr==0 || cc==0){ r = c = 0; } else{ r = rr; c = cc; } if(mem < r*c){ if(mem){ delete [] dat; } mem = r*c; dat = new T[mem]; } } Matrix<T>& operator=(const Matrix<T> &a){ int i; int j; r = a.r; c = a.c; j = r * c; changeSize(r,c); for(i=(0);i<(j);i++){ dat[i] = a.dat[i]; } return *this; } Matrix<T>& operator=(const int a){ int i; int j; j = r * c; for(i=(0);i<(j);i++){ dat[i] = 0; } j =min_L(r, c); for(i=(0);i<(j);i++){ dat[i*c+i] = a; } return *this; } Matrix<T>& operator+=(const Matrix<T> &a){ int i; int j; if(r==0 || r!=a.r || c!=a.c){ changeSize(0,0); return *this; } j = r*c; for(i=(0);i<(j);i++){ dat[i] += a.dat[i]; } return *this; } Matrix<T> operator+(const Matrix<T> &a){ return Matrix<T>(*this) += a; } Matrix<T>& operator-=(const Matrix<T> &a){ int i; int j; if(r==0 || r!=a.r || c!=a.c){ changeSize(0,0); return *this; } j = r*c; for(i=(0);i<(j);i++){ dat[i] -= a.dat[i]; } return *this; } Matrix<T> operator-(const Matrix<T> &a){ return Matrix<T>(*this) -= a; } Matrix<T>& operator*=(const Matrix<T> &a){ int i; int j; int k; int x; T*m; if(r==0 || c!=a.r){ changeSize(0,0); return *this; } m = (T*)wmem; x = r * a.c; for(i=(0);i<(x);i++){ m[i] = 0; } for(i=(0);i<(r);i++){ for(k=(0);k<(c);k++){ for(j=(0);j<(a.c);j++){ m[i*a.c+j] += dat[i*c+k] * a.dat[k*a.c+j]; } } } changeSize(r, a.c); for(i=(0);i<(x);i++){ dat[i] = m[i]; } return *this; } Matrix<T> operator*(const Matrix<T> &a){ return Matrix<T>(*this) *= a; } Matrix<T>& operator*=(const int a){ int i; int j; j = r * c; for(i=(0);i<(j);i++){ dat[i] *= a; } return *this; } Matrix<T>& operator*=(const long long a){ int i; int j; j = r * c; for(i=(0);i<(j);i++){ dat[i] *= a; } return *this; } Matrix<T>& operator*=(const double a){ int i; int j; j = r * c; for(i=(0);i<(j);i++){ dat[i] *= a; } return *this; } inline T* operator[](const int a){ return dat+a*c; } } ; template<class T> Matrix<T> operator*(const int a, const Matrix<T> &b){ return Matrix<T>(b)*=a; } template<class T> Matrix<T> operator*(const Matrix<T> &b, const int a){ return Matrix<T>(b)*=a; } template<class T> Matrix<T> operator*(const long long a, const Matrix<T> &b){ return Matrix<T>(b)*=a; } template<class T> Matrix<T> operator*(const Matrix<T> &b, const long long a){ return Matrix<T>(b)*=a; } template<class T> Matrix<T> operator*(const double a, const Matrix<T> &b){ return Matrix<T>(b)*=a; } template<class T> Matrix<T> operator*(const Matrix<T> &b, const double a){ return Matrix<T>(b)*=a; } template<class T, class S> inline Matrix<T> pow_L(Matrix<T> a, S b){ int i; int j; Matrix<T> res; res.changeSize(a.r, a.c); res = 1; while(b){ if(b&1){ res *= a; } b >>= 1; a *= a; } return res; } template<class T, class S> inline T pow_L(T a, S b){ T res = 1; res = 1; for(;;){ if(b&1){ res *= a; } b >>= 1; if(b==0){ break; } a *= a; } return res; } inline double pow_L(double a, double b){ return pow(a,b); } template<class S, class T> inline S chmax(S &a, T b){ if(a<b){ a=b; } return a; } template<class T> struct Comb{ int mem_fact; T*factri; T*ifactri; int mem_dfact; T*dfactri; int mem_pw2; int mem_pw3; int mem_pw10; int mem_rep1; T*pw2c; T*pw3c; T*pw10c; T*rep1c; int mem_ipw2; int mem_ipw3; int mem_ipw10; T*ipw2c; T*ipw3c; T*ipw10c; Comb(){ mem_fact = 0; mem_dfact = 0; mem_pw2 = mem_pw3 = mem_pw10 = mem_rep1 = 0; mem_ipw2 = mem_ipw3 = mem_ipw10 = 0; } inline void expand_fact(int k){ int i; if(k <= mem_fact){ return; } chmax(k, 2 * mem_fact); if(mem_fact == 0){ factri = (T*)malloc(k * sizeof(T)); ifactri = (T*)malloc(k * sizeof(T)); factri[0] = 1; for(i=(1);i<(k);i++){ factri[i] = i * factri[i-1]; } ifactri[k-1] = 1 / factri[k-1]; for(i=(k-1)-1;i>=(0);i--){ ifactri[i] = (i+1) * ifactri[i+1]; } } else{ factri = (T*)realloc(factri, k * sizeof(T)); ifactri = (T*)realloc(ifactri, k * sizeof(T)); for(i=(mem_fact);i<(k);i++){ factri[i] = i * factri[i-1]; } ifactri[k-1] = 1 / factri[k-1]; for(i=(k-1)-1;i>=(mem_fact);i--){ ifactri[i] = (i+1) * ifactri[i+1]; } } mem_fact = k; } inline T fac(int k){ if(mem_fact < k+1){ expand_fact(k+1); } return factri[k]; } inline T ifac(int k){ if(mem_fact < k+1){ expand_fact(k+1); } return ifactri[k]; } inline T C(int a, int b){ if(b < 0 || b > a){ return 0; } if(mem_fact < a+1){ expand_fact(a+1); } return factri[a] * ifactri[b] * ifactri[a-b]; } inline T P(int a, int b){ if(b < 0 || b > a){ return 0; } if(mem_fact < a+1){ expand_fact(a+1); } return factri[a] * ifactri[a-b]; } inline T H(int a, int b){ if(a==0 && b==0){ return 1; } if(a <= 0 || b < 0){ return 0; } if(mem_fact < a+b){ expand_fact(a+b); } return C(a+b-1, b); } inline T Multinomial(int sz, int a[]){ int i; int s = 0; T res; for(i=(0);i<(sz);i++){ s += a[i]; } if(mem_fact < s+1){ expand_fact(s+1); } res = factri[s]; for(i=(0);i<(sz);i++){ res *= ifactri[a[i]]; } return 1; } inline T Multinomial(int a){ return 1; } inline T Multinomial(int a, int b){ if(mem_fact < a+b+1){ expand_fact(a+b+1); } return factri[a+b] * ifactri[a] * ifactri[b]; } inline T Multinomial(int a, int b, int c){ if(mem_fact < a+b+c+1){ expand_fact(a+b+c+1); } return factri[a+b+c] * ifactri[a] * ifactri[b] * ifactri[c]; } inline T Multinomial(int a, int b, int c, int d){ if(mem_fact < a+b+c+d+1){ expand_fact(a+b+c+d+1); } return factri[a+b+c+d] * ifactri[a] * ifactri[b] * ifactri[c] * ifactri[d]; } inline T Catalan(int n){ if(n < 0){ return 0; } if(mem_fact < 2*n+1){ expand_fact(2*n+1); } return factri[2*n] * ifactri[n] * ifactri[n+1]; } inline T C_s(long long a, long long b){ long long i; T res; if(b < 0 || b > a){ return 0; } if(b > a - b){ b = a - b; } res = 1; for(i=(0);i<(b);i++){ res *= a - i; res /= i + 1; } return res; } inline T P_s(long long a, long long b){ long long i; T res; if(b < 0 || b > a){ return 0; } res = 1; for(i=(0);i<(b);i++){ res *= a - i; } return res; } inline T per_s(long long n, long long k){ T d; int m; if(n < 0 || k < 0){ return 0; } if(n == k && k == 0){ return 1; } if(n == 0 || k == 0){ return 0; } if(k==1){ return 1; } if(k==2){ d = n / 2; return d; } if(k==3){ d = (n-1) / 6; m = (n-1) % 6; if(m==0){ return 3 * d * d + d; } if(m==1){ return 3 * d * d + 2 * d; } if(m==2){ return 3 * d * d + 3 * d + 1; } if(m==3){ return 3 * d * d + 4 * d + 1; } if(m==4){ return 3 * d * d + 5 * d + 2; } if(m==5){ return 3 * d * d + 6 * d + 3; } } assert(0 && "per_s should be k <= 3"); return -1; } inline void expand_dfact(int k){ int i; if(k <= mem_dfact){ return; } chmax(k, 3); chmax(k, 2 * mem_dfact); if(mem_dfact==0){ dfactri = (T*)malloc(k * sizeof(T)); dfactri[0] = dfactri[1] = 1; for(i=(2);i<(k);i++){ dfactri[i] = i * dfactri[i-2]; } } else{ dfactri = (T*)realloc(dfactri, k * sizeof(T)); for(i=(mem_dfact);i<(k);i++){ dfactri[i] = i * dfactri[i-2]; } } mem_dfact = k; } inline void expand_pw2(int k){ int i; if(k <= mem_pw2){ return; } chmax(k, 2 * mem_pw2); if(mem_pw2==0){ pw2c = (T*)malloc(k * sizeof(T)); pw2c[0] = 1; for(i=(1);i<(k);i++){ pw2c[i] = 2 * pw2c[i-1]; } } else{ pw2c = (T*)realloc(pw2c, k * sizeof(T)); for(i=(mem_pw2);i<(k);i++){ pw2c[i] = 2 * pw2c[i-1]; } } mem_pw2 = k; } inline void expand_ipw2(int k){ int i; if(k <= mem_ipw2){ return; } chmax(k, 2); chmax(k, 2 * mem_ipw2); if(mem_ipw2==0){ ipw2c = (T*)malloc(k * sizeof(T)); ipw2c[0] = 1; ipw2c[1] = ipw2c[0] / 2; for(i=(1);i<(k);i++){ ipw2c[i] = ipw2c[1] * ipw2c[i-1]; } } else{ ipw2c = (T*)realloc(ipw2c, k * sizeof(T)); for(i=(mem_ipw2);i<(k);i++){ ipw2c[i] = ipw2c[1] * ipw2c[i-1]; } } mem_ipw2 = k; } inline void expand_pw3(int k){ int i; if(k <= mem_pw3){ return; } chmax(k, 2 * mem_pw3); if(mem_pw3==0){ pw3c = (T*)malloc(k * sizeof(T)); pw3c[0] = 1; for(i=(1);i<(k);i++){ pw3c[i] = 3 * pw3c[i-1]; } } else{ pw3c = (T*)realloc(pw3c, k * sizeof(T)); for(i=(mem_pw3);i<(k);i++){ pw3c[i] = 3 * pw3c[i-1]; } } mem_pw3 = k; } inline void expand_ipw3(int k){ int i; if(k <= mem_ipw3){ return; } chmax(k, 2); chmax(k, 2 * mem_ipw3); if(mem_ipw3==0){ ipw3c = (T*)malloc(k * sizeof(T)); ipw3c[0] = 1; ipw3c[1] = ipw3c[0] / 3; for(i=(1);i<(k);i++){ ipw3c[i] = ipw3c[1] * ipw3c[i-1]; } } else{ ipw3c = (T*)realloc(ipw3c, k * sizeof(T)); for(i=(mem_ipw3);i<(k);i++){ ipw3c[i] = ipw3c[1] * ipw3c[i-1]; } } mem_ipw3 = k; } inline void expand_pw10(int k){ int i; if(k <= mem_pw10){ return; } chmax(k, 2 * mem_pw10); if(mem_pw10==0){ pw10c = (T*)malloc(k * sizeof(T)); pw10c[0] = 1; for(i=(1);i<(k);i++){ pw10c[i] = 10 * pw10c[i-1]; } } else{ pw10c = (T*)realloc(pw10c, k * sizeof(T)); for(i=(mem_pw10);i<(k);i++){ pw10c[i] = 10 * pw10c[i-1]; } } mem_pw10 = k; } inline void expand_ipw10(int k){ int i; if(k <= mem_ipw10){ return; } chmax(k, 2); chmax(k, 2 * mem_ipw10); if(mem_ipw10==0){ ipw10c = (T*)malloc(k * sizeof(T)); ipw10c[0] = 1; ipw10c[1] = ipw10c[0] / 10; for(i=(1);i<(k);i++){ ipw10c[i] = ipw10c[1] * ipw10c[i-1]; } } else{ ipw10c = (T*)realloc(ipw10c, k * sizeof(T)); for(i=(mem_ipw10);i<(k);i++){ ipw10c[i] = ipw10c[1] * ipw10c[i-1]; } } mem_ipw10 = k; } inline void expand_rep1(int k){ int i; if(k <= mem_rep1){ return; } chmax(k, 2 * mem_rep1); if(mem_rep1==0){ rep1c = (T*)malloc(k * sizeof(T)); rep1c[0] = 0; for(i=(1);i<(k);i++){ rep1c[i] = 10 * rep1c[i-1] + 1; } } else{ rep1c = (T*)realloc(rep1c, k * sizeof(T)); for(i=(mem_rep1);i<(k);i++){ rep1c[i] = 10 * rep1c[i-1] + 1; } } mem_rep1 = k; } inline T dfac(int k){ if(k >= 0){ if(mem_dfact < k+1){ expand_dfact(k+1); } return dfactri[k]; } if(k==-1){ return 1; } k = - k - 2; if(k % 4 == 1){ return 1 / (-dfac(k)); } return 1 / dfac(k); } inline T pw2(int k){ if(k >= 0){ if(mem_pw2 < k+1){ expand_pw2(k+1); } return pw2c[k]; } else{ k = -k; if(mem_ipw2 < k+1){ expand_ipw2(k+1); } return ipw2c[k]; } } inline T pw3(int k){ if(k >= 0){ if(mem_pw3 < k+1){ expand_pw3(k+1); } return pw3c[k]; } else{ k = -k; if(mem_ipw3 < k+1){ expand_ipw3(k+1); } return ipw3c[k]; } } inline T pw10(int k){ if(k >= 0){ if(mem_pw10 < k+1){ expand_pw10(k+1); } return pw10c[k]; } else{ k = -k; if(mem_ipw10 < k+1){ expand_ipw10(k+1); } return ipw10c[k]; } } inline T repunit(int k){ if(mem_rep1 < k+1){ expand_rep1(k+1); } return rep1c[k]; } } ; int N; int M; int A[1000000]; int X; int Y; Comb<Modint> c; Modint wa[1000000]; Modint res; int fg[1000000]; Matrix<Modint> mt(3,3); inline Modint solve(int x, int y, int z){ mt[0][0] = x-1; mt[0][1] = mt[1][1] = y-1; mt[0][2] = mt[1][2] = mt[2][2] = z-1; (mt = pow_L(mt,M-3)); return mt[0][0] + mt[0][1] + mt[0][2]; } int main(){ int WYIGIcGE, i; wmem = memarr; rd(N); rd(M); for(i=(1);i<(N);i++){ rd(A[i]); } for(i=(2);i<(N);i++){ int j; for(j=(2*i);j<(N);j+=(i)){ wa[j-1] += solve(A[i-1], A[j-1], A[N-1]); } } for(i=(1);i<(N-1);i++){ if(N%(i+1)==0){ fg[i] = 1; res += wa[i]; } } wt_L(res); wt_L('\n'); int t_ynMSdg = rd_int(); for(WYIGIcGE=(0);WYIGIcGE<(t_ynMSdg);WYIGIcGE++){ rd(X);X += (-1); rd(Y);Y += (-1); if(Y==N-1){ fg[X] = 1; res += wa[X]; } else{ if(fg[Y]){ res -= wa[Y]; } wa[Y] += solve(A[X], A[Y], A[N-1]); if(fg[Y]){ res += wa[Y]; } } wt_L(res); wt_L('\n'); } return 0; } // cLay varsion 20201003-1 // --- original code --- // int N, M, A[1d6], X, Y; // // Comb<Modint> c; // Modint wa[1d6], res; // int fg[1d6]; // Matrix<Modint> mt(3,3); // // inline Modint solve(int x, int y, int z){ // mt[0][0] = x-1; // mt[0][1] = mt[1][1] = y-1; // mt[0][2] = mt[1][2] = mt[2][2] = z-1; // mt **= M-3; // return mt[0][0] + mt[0][1] + mt[0][2]; // } // // { // rd(N,M); // rep(i,1,N) rd(A[i]); // // rep(i,2,N) rep(j,2*i,N,i){ // wa[j-1] += solve(A[i-1], A[j-1], A[N-1]); // } // // wt(wa(N)); // rep(i,1,N-1) if(N%(i+1)==0){ // fg[i] = 1; // res += wa[i]; // } // wt(res); // // REP(rd_int()){ // rd(X--,Y--); // if(Y==N-1){ // fg[X] = 1; // res += wa[X]; // } else { // if(fg[Y]) res -= wa[Y]; // wa[Y] += solve(A[X], A[Y], A[N-1]); // if(fg[Y]) res += wa[Y]; // } // wt(res); // } // }