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UVA_10539.cpp
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UVA_10539.cpp
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#include <bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define PB push_back
#define PF push_front
#define P push
#define INC(i,a,b) for (ll i = a; i <= b; i++)
#define DEC(i,b,a) for (ll i = b; i >= a ; i--)
#define inf LLONG_MAX
#define neginf LLONG_MIN
#define mod 1000000007
typedef ostringstream OS ;
typedef stringstream SS ;
typedef long long ll ;
typedef unsigned long long ull;
typedef pair < ll , ll > PLL ;
typedef pair < char,ll > PCL ;
typedef deque < double > DD ;
typedef deque < PCL > DCL ;
typedef deque < ll > DL ;
typedef deque < PLL > DLL ;
typedef deque < char > DC ;
typedef deque < string > DS ;
typedef vector < double > VD;
typedef vector < PCL > VCL ;
typedef vector < ll > VL;
typedef vector < PLL > VLL ;
typedef vector < char > VC ;
typedef vector < string > VS ;
typedef map < ll ,ll > MLL ;
typedef map < char,ll > MCL;
typedef map < ll,char > MLC;
typedef map < string,ll> MSL;
typedef priority_queue < PLL > PQLL ;
typedef priority_queue < ll > PQL ;
typedef stack < ll > SKL ;
typedef stack < PLL > SKLL ;
typedef queue < ll > QL ;
typedef queue < PLL > QLL ;
typedef set < ll > SL ;
typedef set < PLL > SLL ;
typedef set < char > SC ;
string numtostr(ll n) {
OS str1 ;
str1 << n ;
return str1.str();
}
ll strtonum(string s) {
ll x ;
SS str1(s);
str1 >> x ;
return x ;
}
ll GCD(ll a, ll b) {
if ( b == 0 ) return a ;
else return GCD(b,a%b);
}
ll LCM(ll a , ll b) {
ll gcd = GCD(a,b);
return (a/gcd)*b ;
}
ull check[1000005];
vector <ull> primes;
vector <ull> almostprime;
void sieve(ull n) {
memset(check,0,sizeof(check));
check[1] = 1 ;
for ( ull i = 4 ; i <= n ; i = i+2) check[i] = 1 ; //the numbers which are not prime that means even numbers are marked by 1
for ( ull i = 3 ; i*i <= n ; i += 2) { // Even numbers are not prime so we will check only odd numbers and increment the number by 2 to avoid even number.
if (!check[i]) { // if check[i] = 0 that means if the i value is a prime we will procced
for ( ull j = i*i ; j <= n ; j += 2*i){ // here we are starting not by j = i+i we are starting by j = i*i because the numbers less than i*i are already
check[j] = 1 ; // checked by the numbers less than j so no need to calculate them further . and each time we will increment the
} // numbers by 2*i because if this is a odd number then just incrementing i it will be even and even numbers
} // numbers are not prime so no need to check this .
}
INC(i,1,n) if ( !check[i] ) primes.PB(i) ;
return ;
}
ull findingalmostprime() {
INC(i,0,primes.size()-1) {
ull val = primes[i]*primes[i];
while(1) {
almostprime.PB(val);
val = val*primes[i];
if ( val > 1000000000000) break ;
}
}
return almostprime.size();
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
sieve(1000000);
findingalmostprime() ;
sort(almostprime.begin(),almostprime.end());
ull t ;
scanf("%llu",&t);
while(t--) {
ull a,b ;
bool f = false ;
scanf("%llu %llu",&a,&b);
ull low = upper_bound(almostprime.begin(),almostprime.end(),a)-almostprime.begin();
if ( low == 0 || almostprime[low-1] != a ) f = true ;
ull high = upper_bound(almostprime.begin(),almostprime.end(),b)-almostprime.begin();
if (f) printf("%llu\n",high-low);
else printf("%llu\n",high-low+1);
}
return 0 ;
}