#pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("inline") #include using namespace std; template struct cLtraits_identity{ using type = T; } ; template using cLtraits_try_make_signed = typename conditional< is_integral::value, make_signed, cLtraits_identity >::type; template struct cLtraits_common_type{ using tS = typename cLtraits_try_make_signed::type; using tT = typename cLtraits_try_make_signed::type; using type = typename common_type::type; } ; void*wmem; char memarr[96000000]; template inline auto max_L(S a, T b) -> typename cLtraits_common_type::type{ return (typename cLtraits_common_type::type) a >= (typename cLtraits_common_type::type) b ? a : b; } template 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 inline void walloc1d(T **arr, int x1, int x2, void **mem = &wmem){ walloc1d(arr, x2-x1, mem); (*arr) -= x1; } 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(long long &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 inline T pow2_L(T a){ return a*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; } long long cntPrime(long long n, void *mem = wmem){ int i; int j; int sn; char*isp; long long*s1; long long*s2; long long x; long long c = -1; if(n <= 1){ return 0; } if(n == 2){ return 1; } sn =Isqrt_f_L(n); walloc1d(&s1, sn+1, &mem); walloc1d(&s2, sn+1, &mem); walloc1d(&isp, sn+1, &mem); s1[0] = 0; for(i=(1);i<(sn+1);i++){ s1[i] = i - 1; } for(i=(1);i<(sn+1);i++){ s2[i] = n/i - 1; } for(i=(2);i<(sn+1);i++){ isp[i] = 1; } for(i=(2);i<(sn+1);i++){ if(isp[i]){ for(j=2*i;j<=sn;j+=i){ isp[j] = 0; } c++; for(j=(1);j<(sn+1);j++){ if((long long)i*i*j > n){ goto FmcKpFmN; } x = n / j / i; if(x <= sn){ s2[j] -= s1[x] - c; } else{ s2[j] -= s2[i*j] - c; } } for(j=(sn+1)-1;j>=((long long)i*i);j--){ s1[j] -= s1[j/i] - c; } } FmcKpFmN:; } return s2[1]; } int main(){ wmem = memarr; long long L; rd(L); long long R; rd(R); wt_L(cntPrime(2*R) - cntPrime(2*L) + cntPrime(R) - cntPrime(L-1)); wt_L('\n'); return 0; } // cLay version 20210717-1 [beta] // --- original code --- // ll cntPrime(ll n, void *mem = wmem){ // int i, j, sn; // char *isp; // ll *s1, *s2, x, c = -1; // if(n <= 1) return 0; // if(n == 2) return 1; // // sn = Isqrt_f(n); // walloc1d(&s1, sn+1, &mem); // walloc1d(&s2, sn+1, &mem); // walloc1d(&isp, sn+1, &mem); // // s1[0] = 0; // rep(i,1,sn+1) s1[i] = i - 1; // rep(i,1,sn+1) s2[i] = n/i - 1; // rep(i,2,sn+1) isp[i] = 1; // // rep(i,2,sn+1) if(isp[i]){ // for(j=2*i;j<=sn;j+=i) isp[j] = 0; // c++; // // rep(j,1,sn+1){ // if((ll)i*i*j > n) break_continue; // x = n / j / i; // if(x <= sn) s2[j] -= s1[x] - c; // else s2[j] -= s2[i*j] - c; // } // rrep(j,(ll)i*i,sn+1){ // s1[j] -= s1[j/i] - c; // } // } // // return s2[1]; // } // // { // ll @L, @R; // wt(cntPrime(2*R) - cntPrime(2*L) + cntPrime(R) - cntPrime(L-1)); // } //