結果

問題 No.1661 Sum is Prime (Hard Version)
ユーザー LayCurse
提出日時 2021-08-19 23:16:56
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 128 ms / 3,000 ms
コード長 11,099 bytes
コンパイル時間 2,545 ms
コンパイル使用メモリ 222,136 KB
最終ジャッジ日時 2025-01-23 23:01:05
ジャッジサーバーID
(参考情報)
judge2 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 22
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#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;
}
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<class T> 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<class T> 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 2;
}
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<class T>
// 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 2;
//
// 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));
// }
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