/***
Bismillahir Rahmanir Rahim
Read the name of Allah, who created you!!!
Author : Shah Newaj Rabbi Shishir
Department of CSE, City University, Bangladesh.
***/
#include <bits/stdc++.h>
using namespace std;
#define sf scanf
#define pf printf
#define scase sf ("%d",&tc)
#define sn sf ("%d",&n)
#define whilecase while (tc--)
#define eof while (cin >> n)
#define forloop for (pos=1; pos<=tc; pos++)
#define arrayloop (i=0; i<n; i++)
#define cinstr cin >> str
#define getstr getline (cin,str)
#define pcase pf ("Case %d: ",pos)
#define pb push_back
#define in insert
#define llu unsigned long long
#define lld long long
#define U unsigned int
const long long MAX = 1000005;
bool prime[MAX];
long long k=1;
vector <long long> v,sg,P;
void simple_sieve ()
{
long long i,j;
prime[0] = prime[1] = true;
for (i=4; i<=MAX; i+=2)
prime[i] = true;
for (i=3; i*i<=MAX; i+=2)
for (j=i*i; j<=MAX; j+=2*i)
prime[j] = true;
v.pb(2);
for (i=3; i<=MAX; i+=2)
if (!prime[i])
v.pb(i);
}
void segmented_sieve (long long l,long long u)
{
long long i,j,start,x;
for (i=l; i<=u; i++)
sg.pb(i);
if (l == 0)
sg[1] = 0;
else if (l == 1)
sg[0] = 0;
for (i=0; v[i]*v[i]<=u; i++)
{
x = v[i];
start = x*x;
if (start < l)
start = ((l+x-1)/x)*x;
for (j=start; j<=u; j+=x)
sg[j-l] = 0;
}
}
int main (void)
{
/*freopen ("input.txt","r",stdin);
freopen ("output.txt","w",stdout);*/
simple_sieve ();
long long tc,pos,l,u,i;
sf ("%lld",&tc);
for (pos=1; pos<=tc; pos++)
{
sf ("%lld %lld",&l,&u);
segmented_sieve(l,u);
for (i=l; i<=u; i++)
if (sg[i-l] != 0)
P.pb(sg[i-l]);
pf ("Case %lld: %d\n",pos,P.size());
sg.clear();
P.clear();
}
return 0;
}
Bismillahir Rahmanir Rahim
Read the name of Allah, who created you!!!
Author : Shah Newaj Rabbi Shishir
Department of CSE, City University, Bangladesh.
***/
#include <bits/stdc++.h>
using namespace std;
#define sf scanf
#define pf printf
#define scase sf ("%d",&tc)
#define sn sf ("%d",&n)
#define whilecase while (tc--)
#define eof while (cin >> n)
#define forloop for (pos=1; pos<=tc; pos++)
#define arrayloop (i=0; i<n; i++)
#define cinstr cin >> str
#define getstr getline (cin,str)
#define pcase pf ("Case %d: ",pos)
#define pb push_back
#define in insert
#define llu unsigned long long
#define lld long long
#define U unsigned int
const long long MAX = 1000005;
bool prime[MAX];
long long k=1;
vector <long long> v,sg,P;
void simple_sieve ()
{
long long i,j;
prime[0] = prime[1] = true;
for (i=4; i<=MAX; i+=2)
prime[i] = true;
for (i=3; i*i<=MAX; i+=2)
for (j=i*i; j<=MAX; j+=2*i)
prime[j] = true;
v.pb(2);
for (i=3; i<=MAX; i+=2)
if (!prime[i])
v.pb(i);
}
void segmented_sieve (long long l,long long u)
{
long long i,j,start,x;
for (i=l; i<=u; i++)
sg.pb(i);
if (l == 0)
sg[1] = 0;
else if (l == 1)
sg[0] = 0;
for (i=0; v[i]*v[i]<=u; i++)
{
x = v[i];
start = x*x;
if (start < l)
start = ((l+x-1)/x)*x;
for (j=start; j<=u; j+=x)
sg[j-l] = 0;
}
}
int main (void)
{
/*freopen ("input.txt","r",stdin);
freopen ("output.txt","w",stdout);*/
simple_sieve ();
long long tc,pos,l,u,i;
sf ("%lld",&tc);
for (pos=1; pos<=tc; pos++)
{
sf ("%lld %lld",&l,&u);
segmented_sieve(l,u);
for (i=l; i<=u; i++)
if (sg[i-l] != 0)
P.pb(sg[i-l]);
pf ("Case %lld: %d\n",pos,P.size());
sg.clear();
P.clear();
}
return 0;
}
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