#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 min_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 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++]; } 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 cReader_ll(long long mn, long long mx, char nx){ int i; int fg = 0; int m = 1; int f = -1; long long res = 0; double tmp = 0; for(;;){ i = my_getchar_unlocked(); if(fg==0 && i=='-'){ fg++; m = -1; } else if('0' <= i && i <= '9'){ fg++; if(f == -1){ f = i - '0'; } res = 10 * res + i - '0'; tmp = 10 * tmp + i - '0'; assert(tmp < 1e20); } else{ break; } } assert(tmp / 2 <= res); assert((m==1 && fg >= 1) || (m==-1 && fg >= 2)); assert(mn <= m * res && m * res <= mx); assert(!(res == 0 && m == -1)); assert(!(res != 0 && f == 0)); assert(!(res == 0 && fg >= 2)); assert(i == nx); return m * res; } void cReader_eof(){ int i; i = my_getchar_unlocked(); assert(i == EOF); } long long cntPrime(long long n, void *mem = wmem){ int i; int j; int k; int m; int sn; int ssn; int c; char*isp; long long*s1; long long*s2; long long x; long long tmp; const double nn = n; if(n <= 1){ return 0; } if(n == 2){ return 1; } c = 0; sn =Isqrt_f_L(n); ssn =Isqrt_f_L(sn); 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<(ssn+1);i++){ if(isp[i]){ for(j=i*i;j<=sn;j+=i){ isp[j] = 0; } for(j=(1);j<(sn+1);j++){ x = (long long) i * j; if(x > sn){ s2[j] -= s1[(int)(nn / x)] - c; } else{ s2[j] -= s2[x] - c; } } for(k = (sn+1)/i; k >= i; k--){ m =min_L(sn+1, i*(k+1)); tmp = s1[k] - c; for(j=(i*k);j<(m);j++){ s1[j] -= tmp; } } c++; } } for(i=(ssn+1);i<(sn+1);i++){ if(isp[i]){ for(j=(1);j<(sn+1);j++){ x = (long long) i * j; if(x * i > n){ break; } if(x > sn){ s2[j] -= s1[(int)(nn / x)] - c; } else{ s2[j] -= s2[x] - c; } } c++; } } return s2[1]; } template T sumPrime(long long n, void *mem = wmem){ int i; int j; int k; int m; int sn; int ssn; char*isp; long long x; T*s1; T*s2; T c; T tmp; const double nn = n; if(n <= 1){ return 0; } if(n == 2){ return 1; } c = 0; sn =Isqrt_f_L(n); ssn =Isqrt_f_L(sn); 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] = ((T)i) * ((T)(i+1)) / 2 - 1; } for(i=(1);i<(sn+1);i++){ s2[i] = ((T)(n/i)) * ((T)(n/i+1)) / 2 - 1; } for(i=(2);i<(sn+1);i++){ isp[i] = 1; } for(i=(2);i<(ssn+1);i++){ if(isp[i]){ for(j=i*i;j<=sn;j+=i){ isp[j] = 0; } for(j=(1);j<(sn+1);j++){ x = (long long) i * j; if(x > sn){ s2[j] -= i * (s1[(int)(nn / x)] - c); } else{ s2[j] -= i * (s2[x] - c); } } for(k = (sn+1)/i; k >= i; k--){ m =min_L(sn+1, i*(k+1)); tmp = i * (s1[k] - c); for(j=(i*k);j<(m);j++){ s1[j] -= tmp; } } c += i; } } for(i=(ssn+1);i<(sn+1);i++){ if(isp[i]){ for(j=(1);j<(sn+1);j++){ x = (long long) i * j; if(x * i > n){ break; } if(x > sn){ s2[j] -= i * (s1[(int)(nn / x)] - c); } else{ s2[j] -= i * (s2[x] - c); } } c += i; } } return s2[1]; } int main(){ wmem = memarr; long long L; long long R; L = cReader_ll(1, 10000000000LL, ' '); R = cReader_ll(L, 10000000000LL, '\n'); cReader_eof(); wt_L(cntPrime(2*R) - cntPrime(2*L) + cntPrime(R) - cntPrime(L-1)); wt_L('\n'); return 0; } // cLay version 20210819-1 [beta] // --- original code --- // ll cntPrime(ll n, void *mem = wmem){ // int i, j, k, m, sn, ssn, c; // char *isp; // ll *s1, *s2, x, tmp; // const double nn = n; // if(n <= 1) return 0; // if(n == 2) return 1; // // c = 0; // sn = Isqrt_f(n); // ssn = Isqrt_f(sn); // 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,ssn+1) if(isp[i]){ // for(j=i*i;j<=sn;j+=i) isp[j] = 0; // rep(j,1,sn+1){ // x = (ll) i * j; // if(x > sn) s2[j] -= s1[(int)(nn / x)] - c; // else s2[j] -= s2[x] - c; // } // for(k = (sn+1)/i; k >= i; k--){ // m = min(sn+1, i*(k+1)); // tmp = s1[k] - c; // rep(j,i*k,m) s1[j] -= tmp; // } // c++; // } // // rep(i,ssn+1,sn+1) if(isp[i]){ // rep(j,1,sn+1){ // x = (ll) i * j; // if(x * i > n) break; // if(x > sn) s2[j] -= s1[(int)(nn / x)] - c; // else s2[j] -= s2[x] - c; // } // c++; // } // // return s2[1]; // } // // template // T sumPrime(ll n, void *mem = wmem){ // int i, j, k, m, sn, ssn; // char *isp; // ll x; // T *s1, *s2, c, tmp; // const double nn = n; // if(n <= 1) return 0; // if(n == 2) return 1; // // c = 0; // sn = Isqrt_f(n); // ssn = Isqrt_f(sn); // 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] = ((T)i) * ((T)(i+1)) / 2 - 1; // rep(i,1,sn+1) s2[i] = ((T)(n/i)) * ((T)(n/i+1)) / 2 - 1; // rep(i,2,sn+1) isp[i] = 1; // // rep(i,2,ssn+1) if(isp[i]){ // for(j=i*i;j<=sn;j+=i) isp[j] = 0; // rep(j,1,sn+1){ // x = (ll) i * j; // if(x > sn) s2[j] -= i * (s1[(int)(nn / x)] - c); // else s2[j] -= i * (s2[x] - c); // } // for(k = (sn+1)/i; k >= i; k--){ // m = min(sn+1, i*(k+1)); // tmp = i * (s1[k] - c); // rep(j,i*k,m) s1[j] -= tmp; // } // c += i; // } // // rep(i,ssn+1,sn+1) if(isp[i]){ // rep(j,1,sn+1){ // x = (ll) i * j; // if(x * i > n) break; // if(x > sn) s2[j] -= i * (s1[(int)(nn / x)] - c); // else s2[j] -= i * (s2[x] - c); // } // c += i; // } // // return s2[1]; // } // // { // ll L, R; // L = cReader_ll(1, 1d10, ' '); // R = cReader_ll(L, 1d10, '\n'); // cReader_eof(); // wt(cntPrime(2*R) - cntPrime(2*L) + cntPrime(R) - cntPrime(L-1)); // }