#pragma GCC optimize ("Ofast") #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 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(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(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'); } } int Prime_L(int N, int res[], void *mem=wmem){ int i; int a; int b; int sz = 1; const int r = 23000; bool*isprime; int*sf; int ss = 1; walloc1d(&isprime, r, &mem); walloc1d(&sf, r, &mem); N /= 2; res[0] = 2; b =min_L(r, N); for(i=(1);i<(b);i++){ isprime[i] = 1; } for(i=(1);i<(b);i++){ if(isprime[i]){ res[sz++] = 2*i+1; sf[ss] = 2*i*(i+1); if(sf[ss] < N){ while(sf[ss] < r){ isprime[sf[ss]] = 0; sf[ss] += res[ss]; } ss++; } } } for(a=r; a mp; int main(){ int i; wmem = memarr; int N; rd(N); int k; long long res = 0; ps =Prime_L(10000, p); for(i=(1);i<(N+1);i++){ val[i] = i; } for(i=(0);i<(ps);i++){ int j; k = p[i] * p[i]; for(j=(k);j<(N+1);j+=(k)){ while(val[j]%k==0){ val[j] /= k; } } } for(i=(1);i<(N+1);i++){ cnt[val[i]]++; } for(i=(1);i<(N+1);i++){ res += (long long)cnt[i] * cnt[i]; } wt_L(res); wt_L('\n'); return 0; } // cLay version 20210508-1 [beta] // --- original code --- // int ps, p[5d7], val[5d7+1], cnt[5d7+1]; // map mp; // { // int @N, k; // ll res = 0; // ps = Prime(1d4, p); // rep(i,1,N+1) val[i] = i; // rep(i,ps){ // k = p[i] * p[i]; // rep(j,k,N+1,k) while(val[j]%k==0) val[j] /= k; // } // rep(i,1,N+1) cnt[val[i]]++; // rep(i,1,N+1) res += (ll)cnt[i] * cnt[i]; // wt(res); // }