結果
問題 | No.1737 One to N |
ユーザー | LayCurse |
提出日時 | 2021-11-12 21:51:32 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 11 ms / 2,000 ms |
コード長 | 17,554 bytes |
コンパイル時間 | 2,894 ms |
コンパイル使用メモリ | 236,332 KB |
実行使用メモリ | 8,576 KB |
最終ジャッジ日時 | 2024-05-04 08:20:07 |
合計ジャッジ時間 | 3,928 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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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 | 10 ms
8,448 KB |
testcase_01 | AC | 10 ms
8,576 KB |
testcase_02 | AC | 11 ms
8,320 KB |
testcase_03 | AC | 10 ms
8,320 KB |
testcase_04 | AC | 9 ms
8,448 KB |
testcase_05 | AC | 10 ms
8,448 KB |
testcase_06 | AC | 9 ms
8,320 KB |
testcase_07 | AC | 10 ms
8,320 KB |
testcase_08 | AC | 10 ms
8,448 KB |
testcase_09 | AC | 10 ms
8,320 KB |
testcase_10 | AC | 9 ms
8,320 KB |
testcase_11 | AC | 9 ms
8,448 KB |
testcase_12 | AC | 9 ms
8,320 KB |
testcase_13 | AC | 10 ms
8,320 KB |
testcase_14 | AC | 10 ms
8,448 KB |
testcase_15 | AC | 9 ms
8,448 KB |
testcase_16 | AC | 9 ms
8,320 KB |
testcase_17 | AC | 9 ms
8,448 KB |
testcase_18 | AC | 9 ms
8,448 KB |
testcase_19 | AC | 10 ms
8,320 KB |
testcase_20 | AC | 9 ms
8,320 KB |
testcase_21 | AC | 10 ms
8,448 KB |
testcase_22 | AC | 9 ms
8,320 KB |
testcase_23 | AC | 10 ms
8,320 KB |
testcase_24 | AC | 10 ms
8,448 KB |
testcase_25 | AC | 10 ms
8,448 KB |
testcase_26 | AC | 10 ms
8,320 KB |
testcase_27 | AC | 9 ms
8,448 KB |
testcase_28 | AC | 9 ms
8,320 KB |
testcase_29 | AC | 10 ms
8,320 KB |
ソースコード
#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("inline") #include<bits/stdc++.h> using namespace std; template<class T> struct cLtraits_identity{ using type = T; } ; template<class T> using cLtraits_try_make_signed = typename conditional< is_integral<T>::value, make_signed<T>, cLtraits_identity<T> >::type; template <class S, class T> struct cLtraits_common_type{ using tS = typename cLtraits_try_make_signed<S>::type; using tT = typename cLtraits_try_make_signed<T>::type; using type = typename common_type<tS,tT>::type; } ; void*wmem; char memarr[96000000]; template<class S, class T> inline auto min_L(S a, T b) -> typename cLtraits_common_type<S,T>::type{ return (typename cLtraits_common_type<S,T>::type) a <= (typename cLtraits_common_type<S,T>::type) b ? a : b; } template<class S, class T> inline auto max_L(S a, T b) -> typename cLtraits_common_type<S,T>::type{ return (typename cLtraits_common_type<S,T>::type) a >= (typename cLtraits_common_type<S,T>::type) 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); } template<class T> inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){ walloc1d(arr, x2-x1, mem); (*arr) -= x1; } #define ISPRIME_PRE_CALC_SIZE 1000000 char isPrime_prime_table[ISPRIME_PRE_CALC_SIZE]; template<class T> inline int isPrime(T n); void isPrime32_init(void); int isPrime32_sub(int b, unsigned n); int isPrime32(unsigned n); int isPrime64_sub(long long b, unsigned long long n); int isPrime64(unsigned long long n); #define FACTOR_PRE_CALC_SIZE 1000000 int factor_hasprime_table[FACTOR_PRE_CALC_SIZE]; template<class T, class R1, class R2> int Factor(T N, R1 fac[], R2 fs[], void *mem = wmem); template<class T, class R1> int Factor(T N, R1 fac[], void *mem = wmem); template<class T> int Factor(T N, void *mem = wmem); unsigned Factor32_rho(unsigned n); template<class R1, class R2> int Factor32(unsigned N, R1 fac[], R2 fs[], void *mem = wmem); unsigned long long Factor64_rho(unsigned long long n); template<class R1, class R2> int Factor64(unsigned long long N, R1 fac[], R2 fs[], void *mem = wmem); void Factor32_init(void); template<class T, class R> int FactorM(T N, R fac[], void *mem = wmem); template<class T> int FactorM(T N, void *mem = wmem); template<class T1> void sortA_L(int N, T1 a[], void *mem = wmem){ sort(a, a+N); } struct Rand{ unsigned x; unsigned y; unsigned z; unsigned w; Rand(void){ x=123456789; y=362436069; z=521288629; w=(unsigned)time(NULL); } Rand(unsigned seed){ x=123456789; y=362436069; z=521288629; w=seed; } inline unsigned get(void){ unsigned t; t = (x^(x<<11)); x=y; y=z; z=w; w = (w^(w>>19))^(t^(t>>8)); return w; } inline double getUni(void){ return get()/4294967296.0; } inline int get(int a){ return (int)(a*getUni()); } inline int get(int a, int b){ return a+(int)((b-a+1)*getUni()); } inline long long get(long long a){ return(long long)(a*getUni()); } inline long long get(long long a, long long b){ return a+(long long)((b-a+1)*getUni()); } inline double get(double a, double b){ return a+(b-a)*getUni(); } inline int getExp(int a){ return(int)(exp(getUni()*log(a+1.0))-1.0); } inline int getExp(int a, int b){ return a+(int)(exp(getUni()*log((b-a+1)+1.0))-1.0); } } ; 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; } } 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(unsigned x){ int s=0; char f[10]; while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } while(s--){ my_putchar_unlocked(f[s]+'0'); } } inline void wt_L(long long x){ int s=0; int m=0; char f[20]; 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(unsigned long long x){ int s=0; char f[21]; while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } while(s--){ my_putchar_unlocked(f[s]+'0'); } } int WRITER_DOUBLE_DIGIT = 15; inline int writerDigit_double(){ return WRITER_DOUBLE_DIGIT; } inline void writerDigit_double(int d){ WRITER_DOUBLE_DIGIT = d; } inline void wt_L(double x){ const int d = WRITER_DOUBLE_DIGIT; int k; int r; double v; if(x!=x || (x==x+1 && x==2*x)){ my_putchar_unlocked('E'); my_putchar_unlocked('r'); my_putchar_unlocked('r'); return; } if(x < 0){ my_putchar_unlocked('-'); x = -x; } x += 0.5 * pow(0.1, d); r = 0; v = 1; while(x >= 10*v){ v *= 10; r++; } while(r >= 0){ r--; k = floor(x / v); if(k >= 10){ k = 9; } if(k <= -1){ k = 0; } x -= k * v; v *= 0.1; my_putchar_unlocked(k + '0'); } if(d > 0){ my_putchar_unlocked('.'); v = 1; for(r=(0);r<(d);r++){ v *= 0.1; k = floor(x / v); if(k >= 10){ k = 9; } if(k <= -1){ k = 0; } x -= k * v; my_putchar_unlocked(k + '0'); } } } inline void wt_L(const char c[]){ int i=0; for(i=0;c[i]!='\0';i++){ my_putchar_unlocked(c[i]); } } inline void wt_L(string &x){ int i=0; for(i=0;x[i]!='\0';i++){ my_putchar_unlocked(x[i]); } } template<class T> inline T pow2_L(T a){ return a*a; } template<class T, class U> inline T GCD_L(T a, U b){ T r; while(b){ r=a; a=b; b=r%a; } return a; } inline long long Isqrt_f_L(const long long n){ long long r = sqrt(n); r =max_L(r-2, 0); while((pow2_L((r+1)))<= n ){ r++; } return r; } int main(){ wmem = memarr; { isPrime32_init(); } { Factor32_init(); } int N; rd(N); int fs; int f[30]; fs = FactorM(N,f); int Lj4PdHRW; cLtraits_try_make_signed<remove_reference<decltype((*((int*)NULL)))>::type>::type KL2GvlyY; if(fs==0){ KL2GvlyY = 0; } else{ KL2GvlyY = f[0]; for(Lj4PdHRW=(1);Lj4PdHRW<(fs);Lj4PdHRW++){ KL2GvlyY += f[Lj4PdHRW]; } } wt_L(KL2GvlyY); wt_L('\n'); return 0; } template<class T> inline int isPrime(T n){ T i; if(n<=1){ return 0; } if(n <= (1ULL<<32) - 1){ return isPrime32(n); } if(n <= (1ULL<<63) - 1 + (1ULL<<63)){ return isPrime64(n); } if(n<=3){ return 1; } if(n%2==0){ return 0; } for(i=3;i*i<=n;i+=2){ if(n%i==0){ return 0; } } return 1; } int isPrime32_sub(int b, unsigned n){ unsigned i; unsigned t = 0; unsigned u = n-1; unsigned long long nw; unsigned long long nx; while(!(u&1)){ t++; u >>= 1; } nw = 1; nx = b % n; while(u){ if(u&1){ nw = (nw * nx) % n; } nx = (nx * nx) % n; u >>= 1; } for(i=(0);i<(t);i++){ nx = (nw * nw) % n; if(nx == 1 && nw != 1 && nw != n-1){ return 0; } nw = nx; } if(nw == 1){ return 1; } return 0; } int isPrime32(unsigned n){ if(n < 100000){ return isPrime_prime_table[n]; } if(n % 2 == 0){ return 0; } if(!isPrime32_sub(2,n)){ return 0; } if(n<=1000000){ if(!isPrime32_sub(3,n)){ return 0; } } else{ if(!isPrime32_sub(7,n)){ return 0; } if(!isPrime32_sub(61,n)){ return 0; } } return 1; } int isPrime64_sub(long long b, unsigned long long n){ unsigned long long i; unsigned long long t = 0; unsigned long long u = n-1; __uint128_t nw; __uint128_t nx; while(!(u&1)){ t++; u >>= 1; } nw = 1; nx = b % n; while(u){ if(u&1){ nw = (nw * nx) % n; } nx = (nx * nx) % n; u >>= 1; } for(i=(0);i<(t);i++){ nx = (nw * nw) % n; if(nx == 1 && nw != 1 && nw != n-1){ return 0; } nw = nx; } if(nw == 1){ return 1; } return 0; } int isPrime64(unsigned long long n){ if(n < 100000){ return isPrime_prime_table[n]; } if(n < (1ULL<<32)){ return isPrime32(n); } if(n % 2 == 0){ return 0; } if(!isPrime64_sub(2,n)){ return 0; } if(n <= 21652684502221ULL){ if(!isPrime64_sub(1215,n)){ return 0; } if(!isPrime64_sub(34862,n)){ return 0; } if(!isPrime64_sub(574237825,n)){ return 0; } } else{ if(!isPrime64_sub(325,n)){ return 0; } if(!isPrime64_sub(9375,n)){ return 0; } if(!isPrime64_sub(28178,n)){ return 0; } if(!isPrime64_sub(450775,n)){ return 0; } if(!isPrime64_sub(9780504,n)){ return 0; } if(!isPrime64_sub(1795265022,n)){ return 0; } } return 1; } void isPrime32_init(void){ int i; int j; int k; k =Isqrt_f_L(ISPRIME_PRE_CALC_SIZE); for(i=(2);i<(ISPRIME_PRE_CALC_SIZE);i++){ isPrime_prime_table[i] = 1; } for(i=(2);i<(k+1);i++){ if(isPrime_prime_table[i]){ for(j=(i*i);j<(ISPRIME_PRE_CALC_SIZE);j+=(i)){ isPrime_prime_table[j] = 0; } } } } template<class T, class R1, class R2> int Factor(T N, R1 fac[], R2 fs[], void *mem/* = wmem*/){ T i; int sz = 0; if(N <= 1){ return sz; } if(N <= (1ULL<<32) - 1){ return Factor32(N, fac, fs, mem); } if(N <= (1ULL<<63) - 1 + (1ULL<<63)){ return Factor64(N, fac, fs, mem); } if(N%2==0){ fac[sz] = 2; fs[sz] = 1; N /= 2; while(N%2==0){ N /= 2; fs[sz]++; } sz++; } for(i=3;i*i<=N;i+=2){ if(N%i==0){ fac[sz] = i; fs[sz] = 1; N /= i; while(N%i==0){ N /= i; fs[sz]++; } sz++; } } if(N > 1){ fac[sz] = N; fs[sz] = 1; sz++; } return sz; } template<class T, class R1> int Factor(T N, R1 fac[], void *mem/* = wmem*/){ int*fs; walloc1d(&fs,128,&mem); return Factor(N, fac, fs, mem); } template<class T> int Factor(T N, void *mem/* = wmem*/){ T*fac; int*fs; walloc1d(&fac,128,&mem); walloc1d(&fs,128,&mem); return Factor(N, fac, fs, mem); } unsigned Factor32_rho(unsigned n){ static Rand rnd; const int step = 16; int i; int s; int nx; int mx; unsigned long long x; unsigned long long y; unsigned long long memo; unsigned long long c; unsigned long long m; unsigned g; long long lm; lm =min_L(1ULL<<30, n - 1); for(;;){ x = y = rnd.get(1LL, lm); c = rnd.get(1LL, lm); g = 1; for(nx=1;g==1;nx<<=1){ x = y; for(i=(0);i<(nx);i++){ y = (y * y + c) % n; } for(s=0;s<nx&&g==1;s+=step){ m = 1; memo = y; mx =min_L(step, nx-s); for(i=(0);i<(mx);i++){ y = (y * y + c) % n; if(x >= y){ m = (m * (x - y)) % n; } else{ m = (m * (y - x)) % n; } } g =GCD_L(n, m); if(g != 1){ if(g != n){ return g; } y = memo; for(;;){ y = (y * y + c) % n; if(x >= y){ m = x - y; } else{ m = y - x; } g =GCD_L(n, m); if(g == n){ break; } if(g != 1){ return g; } } } } } } return 0; } template<class R1, class R2> int Factor32(unsigned N, R1 fac[], R2 fs[], void *mem/* = wmem*/){ int res = 0; int sz = 0; int i; int k; unsigned*val; unsigned*valtmp; unsigned pf; unsigned n; if(N <= 1){ return 0; } walloc1d(&val, 128, &mem); walloc1d(&valtmp, 128, &mem); while(N%2==0){ val[res++] = 2; N /= 2; } while(N%3==0){ val[res++] = 3; N /= 3; } while(N%5==0){ val[res++] = 5; N /= 5; } if(N > 1){ valtmp[sz++] = N; } while(sz){ while(sz && isPrime32(valtmp[sz-1])){ val[res] = valtmp[sz-1]; res++; sz--; } if(sz==0){ break; } n = valtmp[sz-1]; if(n < FACTOR_PRE_CALC_SIZE){ while(n > 1){ val[res++] = factor_hasprime_table[n]; n /= factor_hasprime_table[n]; } sz--; } else{ pf = Factor32_rho(n); valtmp[sz-1] = pf; valtmp[sz] = n / pf; sz++; } } sortA_L(res, val, mem); k = 0; for(i=(0);i<(res);i++){ if(k && fac[k-1] == val[i]){ fs[k-1]++; continue; } fac[k] = val[i]; fs[k] = 1; k++; } res = k; return res; } unsigned long long Factor64_rho(unsigned long long n){ static Rand rnd; const int step = 16; int i; int s; int nx; int mx; __uint128_t x; __uint128_t y; __uint128_t memo; __uint128_t c; __uint128_t m; unsigned long long g; long long lm; lm =min_L(1ULL<<30, n - 1); for(;;){ x = y = rnd.get(1LL, lm); c = rnd.get(1LL, lm); g = 1; for(nx=1;g==1;nx<<=1){ x = y; for(i=(0);i<(nx);i++){ y = (y * y + c) % n; } for(s=0;s<nx&&g==1;s+=step){ m = 1; memo = y; mx =min_L(step, nx-s); for(i=(0);i<(mx);i++){ y = (y * y + c) % n; if(x >= y){ m = (m * (x - y)) % n; } else{ m = (m * (y - x)) % n; } } g =GCD_L(n, m); if(g != 1){ if(g != n){ return g; } y = memo; for(;;){ y = (y * y + c) % n; if(x >= y){ m = x - y; } else{ m = y - x; } g =GCD_L(n, m); if(g == n){ break; } if(g != 1){ return g; } } } } } } return 0; } template<class R1, class R2> int Factor64(unsigned long long N, R1 fac[], R2 fs[], void *mem/* = wmem*/){ int res = 0; int sz = 0; int i; int k; unsigned long long*val; unsigned long long*valtmp; unsigned long long pf; unsigned long long n; if(N <= 1){ return 0; } walloc1d(&val, 128, &mem); walloc1d(&valtmp, 128, &mem); while(N%2==0){ val[res++] = 2; N /= 2; } while(N%3==0){ val[res++] = 3; N /= 3; } while(N%5==0){ val[res++] = 5; N /= 5; } if(N > 1){ valtmp[sz++] = N; } while(sz){ while(sz && isPrime64(valtmp[sz-1])){ val[res] = valtmp[sz-1]; res++; sz--; } if(sz==0){ break; } n = valtmp[sz-1]; if(n < FACTOR_PRE_CALC_SIZE){ while(n > 1){ val[res++] = factor_hasprime_table[n]; n /= factor_hasprime_table[n]; } sz--; } else if(n < (1ULL<<32)){ pf = Factor32_rho(n); valtmp[sz-1] = pf; valtmp[sz] = n / pf; sz++; } else{ pf = Factor64_rho(n); valtmp[sz-1] = pf; valtmp[sz] = n / pf; sz++; } } sortA_L(res, val, mem); k = 0; for(i=(0);i<(res);i++){ if(k && fac[k-1] == val[i]){ fs[k-1]++; continue; } fac[k] = val[i]; fs[k] = 1; k++; } res = k; return res; } void Factor32_init(void){ int i; int j; int k; k =Isqrt_f_L(FACTOR_PRE_CALC_SIZE); for(i=(2);i<(FACTOR_PRE_CALC_SIZE);i++){ factor_hasprime_table[i] = i; } for(i=(2);i<(k+1);i++){ if(factor_hasprime_table[i]==i){ for(j=(i*i);j<(FACTOR_PRE_CALC_SIZE);j+=(i)){ factor_hasprime_table[j] = i; } } } } template<class T, class R> int FactorM(T N, R fac[], void *mem/* = wmem*/){ int i; int j; int msz; int sz = 0; T*mfac; int*fs; walloc1d(&mfac,128,&mem); walloc1d(&fs,128,&mem); msz = Factor(N, mfac, fs, mem); for(i=(0);i<(msz);i++){ for(j=(0);j<(fs[i]);j++){ fac[sz++] = mfac[i]; } } return sz; } template<class T> int FactorM(T N, void *mem/* = wmem*/){ int i; int msz; int res = 0; T*mfac; int*fs; walloc1d(&mfac,128,&mem); walloc1d(&fs,128,&mem); msz = Factor(N, mfac, fs, mem); for(i=(0);i<(msz);i++){ res += fs[i]; } return res; } // cLay version 20211024-1 // --- original code --- // int @N, fs, f[30]; // fs = FactorM(N,f); // wt(sum(f(fs)));