Buggy python submission (verdict: Runtime Error):

import math
import bisect


prime = [2,3,5,7,11,13,17,19]
for i in range(prime[-1]+2,100000,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)


#print(prime)
#import matplotlib.pyplot as plt
#size = 10000
#plt.scatter(range(0,size),prime[0:size])
#plt.plot(prime)
#plt.show()

for i in range(len(prime)):
#    if 2.5*i - 1< prime[i]:
#       continue

    if prime[i] <11 *i + 3:
        continue

    print(prime[i])



q = int(input())

def low(x:int)->int:
    x = (x -3)// 11
    return x if x>0 else 0

def hi(x:int)->int:
    return int( (x+1)//2.5) + 1

for _ in range(q):

    l, r = map(int,input().split())
 #   l += 1 if l%2 == 0 else 0

#    print((l,r))

    ans = 0
    for i in range( l , r+1, 2):

        low_1 = low(i)
        hi_1 = hi(i)

        #print((low_1,hi_1))
        xi = bisect.bisect_right(prime, i,lo = low_1,hi = hi_1)
        #print(xi)
        p1 = prime[xi-1]
        if p1 != i:
            continue

        i2 = (i+1)//2
        low_2 = low(i2)
        hi_2 = hi(i2)

        yi = bisect.bisect_right(prime, i2,lo = low_2, hi = min(hi_2,xi) )
        if prime[yi-1] != i2:
            continue

        ans += 1

    print(ans)

Fixed submission:

import math
import bisect


prime = [2]

tab = [False]*100001
tab[2] = True
for i in range(3,100000+1,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)
        tab[i] = True

#print(prime[0:10])
#print(tab[0:10])
q = int(input())

ac = [0] * len(tab)

for i in range(1,len(ac)):
    ac[i] = ac[i-1] + (1 if tab[i] and tab[(i+1)//2] else 0)

#print(ac)
for _ in range(q):

    l, r = map(int,input().split())
    
    ans = ac[r] - ac[l-1]

    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):

import math
import bisect


prime = [2,3,5,7,11,13,17,19]
for i in range(prime[-1]+2,100000,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)

# print(prime)
#import matplotlib.pyplot as plt
#plt.plot(prime[0:100])
#plt.show()

for i in range(len(prime)):
    if 2*i< prime[i]:
       continue

#    if prime[i] <i+1:
#        continue

    print(prime[i])



q = int(input())

for _ in range(q):

    l, r = map(int,input().split())
 #   l += 1 if l%2 == 0 else 0

#    print((l,r))

    ans = 0
    for i in range( l , r+1, 2):

        xi = bisect.bisect_right(prime, i)
        #print(xi)
        p1 = prime[xi-1]
        if p1 != i:
            continue

        i2 = (i+1)//2
        yi = bisect.bisect_right(prime, i2,lo = (xi+1)//2, hi = xi )
        if prime[yi-1] != i2:
            continue

        ans += 1

    print(ans)

Fixed submission:

import math
import bisect


prime = [2]

tab = [False]*100001
tab[2] = True
for i in range(3,100000+1,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)
        tab[i] = True

#print(prime[0:10])
#print(tab[0:10])
q = int(input())

ac = [0] * len(tab)

for i in range(1,len(ac)):
    ac[i] = ac[i-1] + (1 if tab[i] and tab[(i+1)//2] else 0)

#print(ac)
for _ in range(q):

    l, r = map(int,input().split())
    
    ans = ac[r] - ac[l-1]

    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):

import math
import bisect


prime = [2,3,5,7,11,13,17,19]
for i in range(prime[-1]+2,100000,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)

# print(prime)


q = int(input())

for _ in range(q):

    l, r = map(int,input().split())
 #   l += 1 if l%2 == 0 else 0

#    print((l,r))

    ans = 0
    for i in range( l , r+1, 2):

        xi = bisect.bisect_right(prime, i)
        #print(xi)

        if prime[xi-1] != i:
            continue

        i2 = (i+1)//2
        yi = bisect.bisect_right(prime, i2, hi = xi)
        if prime[yi-1] != i2:
            continue

        ans += 1

    print(ans)

Fixed submission:

import math
import bisect


prime = [2]

tab = [False]*100001
tab[2] = True
for i in range(3,100000+1,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)
        tab[i] = True

#print(prime[0:10])
#print(tab[0:10])
q = int(input())

ac = [0] * len(tab)

for i in range(1,len(ac)):
    ac[i] = ac[i-1] + (1 if tab[i] and tab[(i+1)//2] else 0)

#print(ac)
for _ in range(q):

    l, r = map(int,input().split())
    
    ans = ac[r] - ac[l-1]

    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):

import math
import bisect


prime = [2,3,5,7,11,13,17,19]
for i in range(prime[-1]+2,100000,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
                
    if not found:
        prime.append(i)

# print(prime)


q = int(input())

for _ in range(q):

    l, r = map(int,input().split())
 #   l += 1 if l%2 == 0 else 0

#    print((l,r))

    ans = 0
    for i in range( l , r+1, 2):

        xi = bisect.bisect_right(prime, i)
        #print(xi)

        if prime[xi-1] != i:
            continue

        i2 = (i+1)//2
        yi = bisect.bisect_right(prime, i2, hi = xi)
        if prime[yi-1] != i2:
            continue

        ans += 1

    print(ans)

Fixed submission:

import math
import bisect


prime = [2]

tab = [False]*100001
tab[2] = True
for i in range(3,100000+1,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)
        tab[i] = True

#print(prime[0:10])
#print(tab[0:10])
q = int(input())

ac = [0] * len(tab)

for i in range(1,len(ac)):
    ac[i] = ac[i-1] + (1 if tab[i] and tab[(i+1)//2] else 0)

#print(ac)
for _ in range(q):

    l, r = map(int,input().split())
    
    ans = ac[r] - ac[l-1]

    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):

import math
import bisect


prime = [2,3,5,7,11,13,17,19]
for i in range(prime[-1]+2,100000,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
                
    if not found:
        prime.append(i)

# print(prime)


q = int(input())

for _ in range(q):

    l, r = map(int,input().split())
    l += 1 if l%2 == 0 else 0

#    print((l,r))

    ans = 0
    for i in range( l , r+1, 2):

        #si = bisect.bisect_left(prime,i)
        xi = bisect.bisect_right(prime, i)
        yi = bisect.bisect_right(prime, (i+1)//2)
        ans += 1 if prime[xi-1] == i and prime[yi-1] == (i+1)//2 else 0

    print(ans)

Fixed submission:

import math
import bisect


prime = [2]

tab = [False]*100001
tab[2] = True
for i in range(3,100000+1,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)
        tab[i] = True

#print(prime[0:10])
#print(tab[0:10])
q = int(input())

ac = [0] * len(tab)

for i in range(1,len(ac)):
    ac[i] = ac[i-1] + (1 if tab[i] and tab[(i+1)//2] else 0)

#print(ac)
for _ in range(q):

    l, r = map(int,input().split())
    
    ans = ac[r] - ac[l-1]

    print(ans)

Buggy python submission (verdict: Time Limit Exceeded):

import math
import bisect


prime = [2,3,5,7]
for i in range(11,100000):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if p>x:
            break;

        if i % p == 0:
            found = True
                
    if not found:
        prime.append(i)

#print(prime)


q = int(input())
for _ in range(q):
    l, r = map(int,input().split())
    l += 1 if l%2 == 0 else 0

#    print((l,r))

    ans = 0
    for i in range( l , r+1, 2):

        #si = bisect.bisect_left(prime,i)
        xi = bisect.bisect_right(prime, i)
        yi = bisect.bisect_right(prime, (i+1)//2)
        ans += 1 if prime[xi-1] == i and prime[yi-1] == (i+1)//2 else 0

    print(ans)

Fixed submission:

import math
import bisect


prime = [2]

tab = [False]*100001
tab[2] = True
for i in range(3,100000+1,2):

    x = int( math.sqrt(i) )
    x += 1 if x%2 == 0 else 0

    found = False
    for p in prime:
        if x < p:
            break;

        if i % p == 0:
            found = True
            break
                
    if not found:
        prime.append(i)
        tab[i] = True

#print(prime[0:10])
#print(tab[0:10])
q = int(input())

ac = [0] * len(tab)

for i in range(1,len(ac)):
    ac[i] = ac[i-1] + (1 if tab[i] and tab[(i+1)//2] else 0)

#print(ac)
for _ in range(q):

    l, r = map(int,input().split())
    
    ans = ac[r] - ac[l-1]

    print(ans)