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s153085059
p00009
Accepted
import sys f = [1, 0, 0, 0, 1, 0] * (1000000 // 6 + 1) f = [0, 0, 1, 1] + f[3:-2] i = 5 while i < 1000: if f[i] == 1: j = i * i while j <= 1000000: f[j] = 0 j += i + i i += 2 for n in sys.stdin: i = int(n) print(sum(f[:i + 1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s977018189
p00009
Accepted
import sys d = {} for i in range(2, 1000000): if i in d: continue j = i * i while j < 1000000: d[j]=1 j+=i while True: n = sys.stdin.readline() if not n: break n = int(n.rstrip()) count=0 for i in range(2, n+1): if not i in d: count+=1 print count
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s855445569
p00009
Accepted
#init max_num = 1000000 is_prime_num = [True for i in range (max_num+1)] #0, 1 --- not prime number is_prime_num[0] = False is_prime_num[1] = False end = int(max_num ** .5) for i in range(2, end+1): if is_prime_num[i]: for j in range(i*i, max_num+1, i): is_prime_num[j] = False while True: try: n = int(input()) prime_cnt = 0 for i in range(1, n+1): if is_prime_num[i]: prime_cnt = prime_cnt + 1 print(str(prime_cnt)) except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s890927931
p00009
Accepted
import sys prime = [2,3,5,7,11,13,17,19,23,29,31] shieve1 = [1]*1001 for i in prime: itr = i-1 while(itr<1000): shieve1[itr] = 0 itr += i for i in range(32,1000): if shieve1[i]: prime.append(i+1) shieve2 = [1]*(10**6+1) for i in prime: itr = i-1 while(itr<10**6): shieve2[itr] = 0 itr += i for i in range(1001,10**6+1): if shieve2[i]: prime.append(i+1) for line in sys.stdin: n = int(line) cont = 0 for i in prime: if i<=n: cont += 1 else: break print(cont)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s990087181
p00009
Accepted
#!/usr/bin/env python # -*- coding: utf-8 -*- import sys LIMIT = 1000000 is_prime = [True] * (LIMIT+1) p = 2 while p**2 <= LIMIT: if is_prime[p]: for i in range(p*2, LIMIT+1, p): is_prime[i] = False p += 1 for line in sys.stdin.readlines(): n = int(line.strip()) if n <= 1: print(0) continue if n == 2: print(1) continue num_prime = 1 for i in range(3, n+1): if is_prime[i]: num_prime += 1 print(num_prime)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s097858858
p00009
Accepted
import sys import math as mas def sieve(n): p=[True for i in range(n+1)] p[0]=p[1]=False end=int(n**0.5) for i in range(2,end+1): if p[i]: for j in range(i*i,n+1,i): p[j]=False return p sosu=sieve(1000010) for i in sys.stdin: print(sum(sosu[t] for t in range(int(i)+1))) # a,b=map(int,i.split()) # print(gcd(a,b),lcm(a,b))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s268377793
p00009
Accepted
import sys import math as mas def sieve(n): p=[True for i in range(n+1)] p[0]=p[1]=False end=int(n**0.5) for i in range(2,end+1): if p[i]: for j in range(i*i,n+1,i): p[j]=False return p sosu=sieve(1000010) for i in sys.stdin: t=int(i) if t<2:print(0) elif t==2:print(1) else:print(1+sum(sosu[t] for t in range(3,int(i)+1,2))) # a,b=map(int,i.split()) # print(gcd(a,b),lcm(a,b))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s217558260
p00009
Accepted
primes = [0, 0] + [1]*999999 for i in range(2, 1001): if primes[i]: for j in range(i*i, 1000001, i): primes[j] = 0 while True: try: n = int(input()) + 1 print(sum([1 for i in range(n) if primes[i]])) except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s488116996
p00009
Accepted
list = 1000000 *[1] list[0] = 0 list[1] = 0 for i in range(1,1000000): if list[i] == 1: for j in range(i*i,1000000,i): list[j] = 0 for i in range(2,1000000): list[i] += list[i-1] while True: try: n = int(input()) print int(list[n]) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s456734448
p00009
Accepted
from math import sqrt,floor from sys import stdin def cntPrime(n): mx = sqrt(n) if n % 2 == 0: l = [0, 1] + [1, 0] * (int(n/2) - 1) else: l = [0, 1] + [1, 0] * (int(n/2) - 1) + [1] c = 3 while c < mx: for k in range(c*2, n+1, c): l[k-1] = 0 c = l[(c+1):].index(1) + c +2 while c % 2 == 0: c = l[(c+1):].index(1) + c +2 return l t = cntPrime(1000000) for n in stdin: n = int(n) print(sum(t[:n]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s451726157
p00009
Accepted
import sys import math LIMIT = 1000000 p = 2 pList = [True] * (LIMIT + 1) while p ** 2 <= LIMIT: if(pList[p]): for i in range(p * 2, LIMIT + 1 , p): pList[i] = False p += 1 # print(pList) lines = str(sys.stdin.read()).strip().split("\n") for line in lines: line = int(line) count = 0 for i in range(2, line + 1): if pList[i]: count += 1 print(count)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s668654133
p00009
Accepted
import sys def prime(maximum): sieve = [True] * (maximum + 1) def sieved(prime): for not_prime in range(prime + prime, len(sieve), prime): sieve[not_prime] = False sieve[0] = sieve[1] = False sieved(2) for x in range(3, int(maximum ** 0.5) + 1, 2): if sieve[x]: sieved(x) return [prime for prime, is_prime in enumerate(sieve) if is_prime] count = 0 numbers = [] for line in sys.stdin: numbers.append(int(line)) count += 1 counts = [] for i in range(count): counts.append(0) for prime in prime(1000000): if prime > 999999: break for i in range(count): if prime <= numbers[i]: counts[i] += 1 for count in counts: print(count)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s342056075
p00009
Accepted
prime = [] for i in range(0, 1000000): prime.append(True) for i in range(0, 1000): if i < 2: prime[i] = False else: looking = i * 2 while looking < 1000000: prime[looking] = False looking += i sum = [] cnt = 0 for i in range(0, 1000000): if prime[i]: cnt += 1 sum.append(cnt) while True: try: n = int(raw_input()) print sum[n] except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s086963658
p00009
Accepted
import sys primes = [1] * 500000 primes[0] = 0 for i in range(3, 1000, 2): if primes[i // 2]: primes[(i * i) // 2::i] = [0] * len(primes[(i * i) // 2::i]) for i in sys.stdin: n = int(i) if n < 4: print(n - 1) else: print(sum(primes[:(n + 1) // 2]) + 1)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s573443569
p00009
Accepted
#!/usr/bin/env python3 # -*- coding: utf-8 -*- import sys import math N = 1000000 TABLE = [True] * N def sieve(): TABLE[1] = False sqrtn = int(math.sqrt(N)) for i in range(2, sqrtn+1): if TABLE[i]: for j in range(2*i, N, i): TABLE[j] = False """ for i in range(4, N, 2): TABLE[i] = False for i in range(6, N, 3): TABLE[i] = False for i in range(6, N, 6): p1 = 6*i - 1 p2 = 6*i + 1 if p1 >= N: break if TABLE[p1]: for j in range(2*p1, N, p1): TABLE[j] = False if p2 >= N: break if TABLE[p2]: for j in range(2*p2, N, p2): TABLE[j] = False """ def main(): sieve() for line in sys.stdin: n = int(line) cnt = sum(map(lambda k: TABLE[k], range(1, n+1))) print(cnt) if __name__ == "__main__": main()
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s851666071
p00009
Accepted
def main(): import sys from math import sqrt MAX = 1000000 table = [True]*1000000 table[0] = table[1] = False primes = [] counted = 0 for i in range(MAX): if table[i]: primes.append(i) for j in range(2*i, MAX, i): table[j] = False for line in sys.stdin: n = int(line) cnt = 0 for prime in primes: if prime > n: break else: cnt += 1 print(cnt) if __name__ == '__main__': main()
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s299677280
p00009
Accepted
def main(): import sys MAX = 1000000 table = [True]*1000000 table[0] = table[1] = False primes = [] counted = 0 for i in range(MAX): if table[i]: primes.append(i) for j in range(2*i, MAX, i): table[j] = False for line in sys.stdin: n = int(line) cnt = 0 for prime in primes: if prime > n: break else: cnt += 1 print(cnt) if __name__ == '__main__': main()
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s830504892
p00009
Accepted
primes = [0, 0] + [1]*999999 for i in range(2, 1001): if primes[i]: for j in range(i*i, 1000001, i): primes[j] = 0 while True: try: data = int(input()) except: break print(sum(1 for i in range(data, 1, -1) if primes[i]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s420441874
p00009
Accepted
import sys def sieve(n): N = n + 1 ints = [False if i % 2 == 0 or i % 3 == 0 or i % 5 == 0 else True for i in range(N)] try: ints[0] = ints[1] = False ints[2] = ints[3] = ints[5] = True except IndexError: pass sqrt = N ** 0.5 for i in range(3, N, 2): if i >= sqrt: break for m in range(i ** 2, N, i): ints[m] = False return ints prime1m = sieve(1000000) for line in sys.stdin: print(prime1m[:int(line) + 1].count(True))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s473465441
p00009
Accepted
import sys from array import array N = 1000000 primes = array('I',[1]) * (N//2) primes[0] = 0 for i in range(3,int(N**0.5),2): if primes[i//2]: primes[(i*i)//2::i] = array('I',[0]) * len(primes[(i*i)//2::i]) for i in sys.stdin: n = int(i) if n < 4: print(n-1) else: print(sum(primes[:(n+1)//2])+1)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s845066908
p00009
Accepted
str1=[0 for i in range(10**6)] str1[0]=1 str1[1]=1 for i in range(2,(10**6)): if str1[i]==0: for j in range(2,(10**6)): if i*j>=len(str1): break else: str1[i*j]=1 while 1 : try: x=int(input()) count=0 for i in range(1,x+1): if str1[i]==0: count+=1 print(count) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s862542423
p00009
Accepted
# Aizu Problem 0009: Prime Number # import sys, math, os, bisect # read input: PYDEV = os.environ.get('PYDEV') if PYDEV=="True": sys.stdin = open("sample-input.txt", "rt") def primes2(n): """ Input n>=6, Returns a list of primes, 2 <= p < n """ n, correction = n-n%6+6, 2-(n%6>1) sieve = [True] * (n//3) for i in range(1,int(n**0.5)//3+1): if sieve[i]: k=3*i+1|1 sieve[ k*k//3 ::2*k] = [False] * ((n//6-k*k//6-1)//k+1) sieve[k*(k-2*(i&1)+4)//3::2*k] = [False] * ((n//6-k*(k-2*(i&1)+4)//6-1)//k+1) return [2,3] + [3*i+1|1 for i in range(1,n//3-correction) if sieve[i]] primes = primes2(10**6) for line in sys.stdin: n = int(line) idx = bisect.bisect_right(primes, n) print(idx)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s517636853
p00009
Accepted
import bisect import sys n = 1000000 primes = {i for i in range(3, n, 2)} for i in range(3, 1000, 2): s = {j for j in range(i*2, n, i)} primes -= s primes = [2] + sorted(primes) for l in sys.stdin: print(bisect.bisect(primes, int(l)))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s316758459
p00009
Accepted
import sys import math from bisect import bisect_right n = 1000000 a = set(range(3, n, 2)) diff = a.difference_update for i in range(3, int(math.sqrt(n)), 2): if i in a: diff(range(i*2, n+1, i)) primes = [2] + list(a) for l in map(int, sys.stdin.readlines()): print(bisect_right(primes, l))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s969064627
p00009
Accepted
import bisect primes = [0, 0] + [1]*999999 for i in range(2, 1001): if primes[i]: for j in range(i*i, 1000001, i): primes[j] = 0 primes = [i for i, v in enumerate(primes) if v] while True: try: n = int(input()) except: break print(len(primes[:bisect.bisect(primes, n)]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s468317560
p00009
Accepted
import bisect primes = [0, 0] + [1]*999999 for i in range(2, 1001): if primes[i]: for j in range(i*i, 1000001, i): primes[j] = 0 primes = [i for i, v in enumerate(primes) if v] while True: try: n = int(input()) except: break print(bisect.bisect(primes, n))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s177031388
p00009
Accepted
import bisect primes = [0, 0] + [1]*999999 for i in range(2, 1001): if primes[i]: for j in range(i*i, 1000001, i): primes[j] = 0 primes = list(filter(lambda x: x != 0, [(v != 0) * i for i, v in enumerate(primes)])) while True: try: n = int(input()) except: break print(bisect.bisect(primes, n))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s232578042
p00009
Accepted
import sys import math M = 1000000 B = int(math.sqrt(M)+1)//6+1 N = M//6 N1 = N+1 if M % 6 == 5 else N N2 = N+1 if M % 6 >= 1 else N l = [1] * N1 m = [1] * N2 i = 5 ini = 4 for p in range(B): if l[p] == 1: l[p+i::i] = [0] * len(l[p+i::i]) m[ini-1::i] = [0] * len(m[ini-1::i]) if m[p] == 1: m[p+i+2::i+2] = [0] * len(m[p+i+2::i+2]) l[ini+1::i+2] = [0] * len(l[ini+1::i+2]) i += 6 ini += 5 for i in sys.stdin: n = int(i) r = n-1 if n < 3 else sum(l[0:(n+1)//6])+sum(m[0:(n-1)//6])+2 print(r)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s153156610
p00009
Accepted
import sys import math def isPrime(x): if x == 2: return True if x < 2 or x%2 == 0: return False for i in range(3,int(math.sqrt(x))+1,2): if x%i == 0: return False return True if __name__ == '__main__': a = [] for tmp_line in sys.stdin: n = (int)(tmp_line) a.append(n) primes = [] for x in range(2,max(a)+1): if isPrime(x): primes.append(x) for y in a: print(len([x for x in primes if x <= y]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s099348434
p00009
Accepted
import sys #from me.io import dup_file_stdin N=1000000 primes = [1]*N primes[0:2]=[0,0,1] for i in range(2,N): if primes[i]==1: j=i+i while j<=N: primes[j]=0 j+=i #@dup_file_stdin def solve(): for query in map(int,sys.stdin): print(sum(primes[2:query+1])) solve()
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s335474946
p00009
Accepted
import sys MAX = 999999 L = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997] def is_prime(n): if n == 2:return True if n % 2 == 0:return False for i in range(3,int(n**0.5)+1,2): if n % i == 0:return False return True def is_prime_2(n): a = int(n ** 0.5) for i in L: if i > a:return True if n % i == 0:return False return True def prime_count(n): result = 0 if n >= 2:result+=1 for i in range(3,n+1,2): if is_prime_2(i):result+=1 return result def prime_list(n): result = [] if n >= 2:result.append(2) for i in range(3,n+1,2): if is_prime(i):result.append(i) return result L2 = prime_list(MAX) def prime_count_2(n): for i,v in enumerate(L2): if v > n:return i return len(L2) for n in sys.stdin: print(prime_count_2(int(n)))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s751486986
p00009
Accepted
import sys MAX = 999999 def is_prime(n): if n == 2:return True if n % 2 == 0:return False for i in range(3,int(n**0.5)+1,2): if n % i == 0:return False return True def prime_list(n): result = [] if n >= 2:result.append(2) for i in range(3,n+1,2): if is_prime(i):result.append(i) return result L = prime_list(int(MAX**0.5)) def is_prime_2(n): a = int(n ** 0.5) for i in L: if i > a:return True if n % i == 0:return False return True def prime_count(n): result = 0 if n >= 2:result+=1 for i in range(3,n+1,2): if is_prime_2(i):result+=1 return result L2 = prime_list(MAX) def prime_count_2(n): for i,v in enumerate(L2): if v > n:return i return len(L2) for n in sys.stdin: print(prime_count_2(int(n)))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s116067750
p00009
Accepted
import sys import time MAX = 999999 def is_prime(n): if n == 2:return True if n % 2 == 0:return False for i in range(3,int(n**0.5)+1,2): if n % i == 0:return False return True def prime_list(n): return ([2] if n > 1 else []) + [i for i in range(3,n+1,2) if is_prime(i)] L = prime_list(int(MAX**0.5)) def is_prime_2(n): a = int(n ** 0.5) for i in L: if i > a:return True if n % i == 0:return False return True def prime_count(n): result = 0 if n >= 2:result+=1 for i in range(3,n+1,2): if is_prime_2(i):result+=1 return result def prime_list2(n): return ([2] if n > 1 else []) + [i for i in range(3,n+1,2) if is_prime_2(i)] L2 = prime_list2(MAX) def prime_count_2(n): for i,v in enumerate(L2): if v > n:return i return len(L2) for n in sys.stdin: print(prime_count_2(int(n)))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s429180672
p00009
Accepted
# coding=utf-8 import array def sieve_of_eratosthenes(end: int) -> array: # noinspection PyUnusedLocal is_prime = array.array('B', (True for i in range(end+1))) is_prime[0] = False is_prime[1] = False primes = array.array("L") for i in range(2, end+1): if is_prime[i]: primes.append(i) for j in range(i * 2, end+1, i): is_prime[j] = False return primes if __name__ == '__main__': prime_table = sieve_of_eratosthenes(1000000) while True: try: n = int(input()) except EOFError: break prime_table_under_n = [x for x in prime_table if x <= n] print(len(prime_table_under_n))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s348321832
p00009
Accepted
import sys N = 999999 lis = [] if N >= 2: lis.append(2) if N >= 3: lis.append(3) if N >= 5: for i in xrange(5,N+1,2): for item in lis: if item > (i**0.5): lis.append(i) break if i % item == 0: break else: lis.append(i) dp = [0]*999999 for item in lis: dp[item-1] += 1 for i in xrange(1,999999): dp[i] += dp[i-1] for line in sys.stdin: num = int(line) print dp[num-1]
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s362702933
p00009
Accepted
n = 999999 c = [1 for i in range(n)] c[0] = 0 i = 2 while i**2 <= n: j = i*2 while j <= n: c[j - 1] = 0 j += i i += 1 while True: try: n = int(input()) print(sum(c[:n])) except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s109037581
p00009
Accepted
n=1000000 pr = [1] * n pr[0],pr[1]=0,0 for i in xrange(2, int(n**0.5)+1): if pr[i] == 1: for j in range(i ** 2, n , i): pr[j] =0 for k in xrange(3, n): pr[k] += pr[k-1] while True: try: m = int(raw_input()) print pr[m] except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s388474581
p00009
Accepted
n=1000000 pr = [1] * n pr[0],pr[1]=0,0 for i in range(2, int(n**0.5)+1): if pr[i] == 1: for j in range(i ** 2, n , i): pr[j] =0 for k in range(3, n): pr[k] += pr[k-1] while True: try: m = int(raw_input()) print pr[m] except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s938372256
p00009
Accepted
import sys import math # Sieve of Eratosthenes N = 999999 searchList = list(range(3, N + 1, 2)) primes = [2] while True: top = searchList.pop(0) primes.append(top) if top > math.sqrt(N): break searchList = [s for s in searchList if s % top != 0] primes.extend(searchList) # solve for line in sys.stdin: try: n = int(line) ans = [i for i in primes if i <= n] print(len(ans)) except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s759030210
p00009
Accepted
import sys def is_prime(x): if(x <= 3 and x > 1): return 1 elif(x == 5): return 1 elif(x % 2 == 0 or x < 2): return 0 a = 3 while(a * a <= x): if(x % a == 0): return 0 a += 2 return 1 def generate_prime(x): list = [] list.append(2) for i in range(3,x+1,2): if(is_prime(i) == 1): list.append(i) return list def count_list(x,list): count = 0 for i in range(0,len(list)): if(list[i] > x): break elif(list[i] <= x): count += 1 return count l = [] for input in sys.stdin: l.append(int(input)) prime = generate_prime(max(l)) for i in range(0,len(l)): print count_list(l[i],prime)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s351592258
p00009
Accepted
IsPrimes = [True] * 1000002 IsPrimes[0], IsPrimes[1] = False, False for i in range(2, 1001): if IsPrimes[i]: for j in range(i*i, 1000001, i): IsPrimes[j]= False cnt = [0] * 1000001 for i in range(1000001): if IsPrimes[i]: cnt[i] += 1 for i in range(1, 1000001): cnt[i] += cnt[i-1] while True: try: n = int(raw_input()) print cnt[n] except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s729914408
p00009
Accepted
primes = [0, 0] + [1] * 999999 for i in range(2, 1000): if primes[i]: for j in range(i*i, 1000000, i): primes[j] = 0 while True: try: n = int(input()) except: break ans = 0 while n > 0: ans += primes[n] n -= 1 print(ans)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s306359879
p00009
Accepted
primes = [0, 0] + [1] * 999999 for i in range(2, 1000): if primes[i]: for j in range(i*i, 1000000, i): primes[j] = 0 answer = [0] * 1000000 for i in range(2, 1000000): answer[i] += primes[i] + answer[i-1] while True: try: n = int(input()) except: break print(answer[n])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s930532876
p00009
Accepted
import bisect primes = [0, 0] + [1] * 999999 for i in range(2, 1000): if primes[i]: for j in range(i*i, 1000000, i): primes[j] = 0 primes = [i for i, v in enumerate(primes) if v] while True: try: n = int(input()) except: break print(bisect.bisect(primes, n))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s852084833
p00009
Accepted
def f(n): table = [False, False] + [True for _ in range(2, n+1)] p = 2 while p**2 <= n: if table[p]: j = p + p while j <= n: table[j] = False j += p p += 1 return sum(table) while True: try: n = int(input()) except: break print(f(n))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s941515696
p00009
Accepted
def get_input(): while True: try: yield ''.join(input()) except EOFError: break MAX = 1000000 primes = list() for i in range(MAX): primes.append(True) primes[0] = False primes[1] = False for i in range(2, MAX): j = i + i while j < MAX: primes[j] = False j = j + i N = list(get_input()) for l in range(len(N)): n = int(N[l]) ans = 0 for i in range(n+1): if primes[i]: ans = ans + 1 print(ans)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s764792713
p00009
Accepted
import sys m=10**6;a=[1]*m;a[0:2]=0,0 for i in range(2,1000): if a[i]>0: for j in range(i*2,m,i):a[j]=0 for i in range(m):a[i]+=a[i-1] for e in sys.stdin:print(a[int(e)])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s686426638
p00009
Accepted
import sys m=10**6;a=[1]*m;a[0:2]=0,0 for i in range(2,999): if a[i]>0: for j in range(i*2,m,i):a[j]=0 for i in range(m):a[i]+=a[i-1] for e in sys.stdin:print(a[int(e)])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s043851036
p00009
Accepted
import sys e=list(map(int,sys.stdin)) m=max(e)+1;a=[1]*m;a[0:2]=0,0 for i in range(2,int(m**.5)+1): if a[i]>0: for j in range(i*2,m,i):a[j]=0 for i in range(m):a[i]+=a[i-1] for x in e:print(a[x])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s017004589
p00009
Accepted
import sys m=10**6;a=[1]*m;a[0:2]=0,0 for i in range(2,999): if a[i]>0: for j in range(i*2,m,i):a[j]=0 for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s565334782
p00009
Accepted
import sys m=10**6;a=[0,0]+[1]*m for i in range(2,999): if a[i]>0: for j in range(i*2,m,i):a[j]=0 for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s151507619
p00009
Accepted
import sys m=10**6;a=[0,0]+[1]*m for i in range(2,999): if a[i]: for j in range(i*2,m,i):a[j]=0 for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s409541858
p00009
Accepted
import sys m=10**6;a=[0,0]+[1]*m for i in range(999): if a[i]: for j in range(i*2,m,i):a[j]=0 for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s930339920
p00009
Accepted
import sys m=10**6;a=[0,0]+[1]*m for i in range(999): if a[i]:a[i*2::i]=[0 for j in a[i*2::i]] for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s759042931
p00009
Accepted
import sys a=[0,0]+[1]*10**6 for i in range(999): if a[i]:a[i*2::i]=[0 for j in a[i*2::i]] for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s058275591
p00009
Accepted
import sys a=[0,0]+[1]*10**6 for i in range(999): if a[i]:a[i*2::i]=[0 for j in[0]*len(a[i*2::i])] for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s436573567
p00009
Accepted
import sys a=[0,0]+[1]*10**6 for i in range(999): if a[i]:a[i*2::i]=[0]*len(a[i*2::i]) for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s661519554
p00009
Accepted
import sys a=[0,0,1]+[1,0]*499999 for i in range(3,999,2): if a[i]:a[i*2::i]=[0]*len(a[i*2::i]) for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s022359712
p00009
Accepted
import sys a=[0,0,1]+[1,0]*499999 for i in range(3,999,2): if a[i]:a[i*i::i]=[0]*len(a[i*i::i]) for e in sys.stdin:print(sum(a[:int(e)+1]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s915693409
p00009
Accepted
import sys m=166666;a=[[1]*m for _ in[0]*2] for i in range(m): if a[0][i]: k=6*i+5 a[0][i+k::k]=[0]*len(a[0][i+k::k]) a[1][-2-i+k::k]=[0]*len(a[1][-2-i+k::k]) if a[1][i]: k=6*i+7 a[0][-2-i+k::k]=[0]*len(a[0][-2-i+k::k]) a[1][i+k::k]=[0]*len(a[1][i+k::k]) for e in map(int,sys.stdin): print([e-1,sum(a[0][:(e+1)//6])+sum(a[1][:(e-1)//6])+2][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s929654846
p00009
Accepted
import sys m=166666;a=[[1]*m for _ in[0]*2] for i in range(m): if a[0][i]: k=6*i+5 a[0][i+k::k]=[0]*len(a[0][i+k::k]) a[1][-2-i+k::k]=[0]*len(a[1][-2-i+k::k]) if a[1][i]: k=6*i+7 a[0][-2-i+k::k]=[0]*len(a[0][-2-i+k::k]) a[1][i+k::k]=[0]*len(a[1][i+k::k]) for e in map(int,sys.stdin): print([e-1,sum(a[0][:(e+1)//6]+a[1][:(e-1)//6])+2][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s593003529
p00009
Accepted
import sys m=166666;s=[1]*m;t=[1]*m for i in range(m): if s[i]: k=6*i+5 s[i+k::k]=[0]*len(s[i+k::k]) t[-2-i+k::k]=[0]*len(t[-2-i+k::k]) if t[i]: k=6*i+7 s[-2-i+k::k]=[0]*len(s[-2-i+k::k]) t[i+k::k]=[0]*len(t[i+k::k]) for e in map(int,sys.stdin): print([e-1,sum(s[:(e+1)//6])+sum(t[:(e-1)//6])+2][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s526991852
p00009
Accepted
import sys m=166666;s=[1]*m;t=[1]*m for i in range(m): if s[i]: k=6*i+5 s[i+k::k]=[0]*len(s[i+k::k]) t[-2-i+k::k]=[0]*len(t[-2-i+k::k]) if t[i]: k=6*i+7 s[-2-i+k::k]=[0]*len(s[-2-i+k::k]) t[i+k::k]=[0]*len(t[i+k::k]) for e in sys.stdin: e=int(e) print([e-1,sum(s[:(e+1)//6])+sum(t[:(e-1)//6])+2][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s733389954
p00009
Accepted
import sys m=166666;s=[1]*m;t=[1]*m for i in range(m): if s[i]: k=6*i+5 s[i+k::k]=[0]*len(s[i+k::k]) t[-2-i+k::k]=[0]*len(t[-2-i+k::k]) if t[i]: k=6*i+7 s[-2-i+k::k]=[0]*len(s[-2-i+k::k]) t[i+k::k]=[0]*len(t[i+k::k]) for e in map(int,sys.stdin): print((e-1,sum(s[:(e+1)//6])+sum(t[:(e-1)//6])+2)[e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s478699510
p00009
Accepted
import sys m=166666;s=[1]*m;t=[1]*m for i in range(m): for j in range(2): if (s[i],t[i])[j]: k=6*i+[5,7][j];n=[i+k,k-i-2] s[n[j]::k]=[0]*len(s[n[j]::k]) t[n[1-j]::k]=[0]*len(t[n[1-j]::k]) for e in map(int,sys.stdin): print([e-1,sum(s[:(e+1)//6])+sum(t[:(e-1)//6])+2][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s933645032
p00009
Accepted
import sys a=[1]*500000 for i in range(3,999,2): if a[i//2]:a[(i*i)//2::i]=[0]*len(a[(i*i)//2::i]) for e in map(int,sys.stdin):print([e-1,sum(a[:(e+1)//2])][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s810998351
p00009
Accepted
import sys a=[True]*500000 for i in range(3,999,2): if a[i//2]:a[(i*i)//2::i]=[False]*len(a[(i*i)//2::i]) for e in map(int,sys.stdin):print([e-1,sum(a[:(e+1)//2])][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s155450424
p00009
Accepted
import sys a=[1]*500000 for i in range(3,999,2): if a[i//2]:a[(i*i)//2::i]=[0]*len(a[(i*i)//2::i]) [print([e-1,sum(a[:(e+1)//2])][e>3])for e in map(int,sys.stdin)]
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s799828645
p00009
Accepted
import sys m=500000;a=[1]*m for i in range(3,999,2): if a[i//2]:a[i*i//2::i]=[0]*((m-1-i*i//2)//i+1) for e in map(int,sys.stdin):print([e-1,sum(a[:(e+1)//2])][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s958589367
p00009
Accepted
import sys a=[1]*500000 for i in range(3,999,2): if a[i//2]:a[i*i//2::i]=[0]*len(a[i*i//2::i]) for e in map(int,sys.stdin):print([e-1,sum(a[:(e+1)//2])][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s463747905
p00009
Accepted
import sys a=[1]*500000 for i in range(3,999,2): if a[i//2]:a[i*i//2::i]=[0]*((499999-i*i//2)//i+1) for e in map(int,sys.stdin):print([e-1,sum(a[:(e+1)//2])][e>3])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s450870744
p00009
Accepted
import sys m=500000;a=[1]*m for i in range(3,999,2): if a[i//2]:a[i*i//2::i]=[0]*len(a[i*i//2::i]) p=[] for i in range(m*2):p.append(i-1 if i<4 else p[i-1]+[0,a[i//2]][i%2]) for e in sys.stdin:print(p[int(e)])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s694884622
p00009
Accepted
import sys m=500000;a=[1]*m for i in range(3,999,2): if a[i//2]:a[i*i//2::i]=[0]*len(a[i*i//2::i]) p=[] for i in range(m*2):p+=[i-1 if i<4 else p[i-1]+[0,a[i//2]][i%2]] for e in sys.stdin:print(p[int(e)])
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s715573057
p00009
Accepted
# -*- coding: utf-8 -*- from math import sqrt from bisect import bisect def inpl(): return tuple(map(int, input().split())) def primes(N): P = [2] searched = [False]*(N+1) for i in range(3, N+1, 2): if searched[i]: continue P.append(i) for j in range(i, N+1, i): searched[j] = True return P P = primes(10**6) try: while True: print(bisect(P, int(input()))) except: pass
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s997677111
p00009
Accepted
lst = [1 for i in range(10 ** 6 + 1)] lst[0] = lst[1] = 0 for i in range(10 ** 6 + 1): if lst[i] == 1: for j in range(i * 2, 10 ** 6 + 1, i): lst[j] = 0 while 0 == 0: try: n = int(input()) c = 0 for i in range(n + 1): c += lst[i] print(c) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s357396066
p00009
Accepted
def make_prime(): prime=[0 for i in range(10**6)] used=[0 for i in range(10**6)] for i in range(2,10**6): if used[i]==1: prime[i]=prime[i-1] continue prime[i]=prime[i-1]+1; for j in range(i,10**6,i): used[j]=1 return prime def main(): prime=make_prime() while True: try: n=int(input()) except EOFError: break print(prime[n]) if __name__=="__main__": main()
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s257783542
p00009
Accepted
import math def Eratos(n): primes = [2] num = [2*i+1 for i in range(1,n//2)] tmp = [] top = 1 while top < math.sqrt(n): top = num[0] for i in range(1,len(num)): if num[i] % top != 0: tmp.append(num[i]) num = tmp tmp = [] primes.append(top) for i in range(len(num)): primes.append(num[i]) return primes def list_count(list_a,n): cont = 0 for i in range(len(list_a)): if list_a[i] > n: break else: cont += 1 return cont primes = Eratos(1000000) while True: try: n = int(input()) print(list_count(primes,n)) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s205511232
p00009
Accepted
plst = [1 for i in range(1000001)] slst = [0,0] plst[0] = plst[1] = 0 count = 0 for i in range(2,1000001): if plst[i] == 1: count += 1 for j in range(i * 2,1000001,i): plst[j] = 0 slst.append(count) while True: try: print(slst[int(input())]) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s561725684
p00009
Accepted
plst = [1 for i in range(1000001)] plst[0] = plst[1] = 0 for i in range(2,1000001): if plst[i] == 1: for j in range(i * 2,1000001,i): plst[j] = 0 while True: try: print(sum(plst[:int(input()) + 1])) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s029182066
p00009
Accepted
LIMIT = 10000000 isPrime = [True for _ in range(LIMIT)] isPrime[0] = isPrime[1] = False for i in range(2, int(LIMIT ** 0.5)+1): if isPrime[i]: for j in range(i * i, LIMIT, i): isPrime[j] = False try: while True: n = int(input()) count = 0 if n >= 2: count = 1 for i in range(3, n+1, 2): if isPrime[i]: count += 1 print(count) except EOFError: pass
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s557554635
p00009
Accepted
def prime_judge(n): if n==1: return False elif n==2: return True elif n%2==0: return False else: sqrt_num=int(n**0.5)+1 for i in range(3,sqrt_num, 2): if n%i==0: return False return True prime=[0] for i in range(1,1000000): if prime_judge(i): prime.append(prime[-1]+1) else: prime.append(prime[-1]) while 1: try: print(prime[int(input())]) except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s450496243
p00009
Accepted
import sys N=999999 a=[ 1 for i in range(N+1)] a[0]=0 a[1]=0 for i in range(2, N+1): for j in range(i*i,N+1,i): a[j]=0 b=[ 0 for i in range(N+1)] t=0 for i in range(2,N+1): t+=a[i] b[i]=t for line in sys.stdin: n=int(line) print b[n]
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s472483284
p00009
Accepted
from math import sqrt def f(x): lst = [i for i in range(x + 1)] flag = [1 for i in range(x + 1)] flag[0] = flag[1] = 0 for i in lst: if flag[i] == 0: continue else: for j in range(i*2, x + 1, i): flag[j] = 0 return flag.count(1) a = [] while True: try: a.append(int(input())) except EOFError: break for x in a: print(f(x))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s552730007
p00009
Accepted
# coding: utf-8 LIMIT = 999999 prime = [0, 1] + [0 if i % 2 == 0 else 1 for i in range(3, LIMIT + 1)] for i in range(3, LIMIT + 1): if prime[i - 1]: for j in range(i ** 2, LIMIT + 1, i): prime[j - 1] = 0 while True: try: n = int(input()) except EOFError: break print(sum(prime[:n]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s992921675
p00009
Accepted
# coding: utf-8 LIMIT = 999999 prime = [0, 1] + [0 if i % 2 == 0 else 1 for i in range(3, LIMIT + 1)] for i in range(3, int(LIMIT ** 0.5) + 1): if prime[i - 1]: for j in range(i ** 2, LIMIT + 1, i): prime[j - 1] = 0 while True: try: n = int(input()) except EOFError: break print(sum(prime[:n]))
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s016586359
p00009
Accepted
# AOJ 0009 Prime Number # Python3 2018.6.9 bal4u MAX = 1000000 SQRT = 1000 # sqrt(MAX) prime = [True for i in range(MAX)] def sieve(): for i in range(2, MAX, 2): prime[i] = False for i in range(3, SQRT, 2): if prime[i] is True: for j in range(i*i, MAX, i): prime[j] = False sieve() cnt = [0 for i in range(MAX+1)] cnt[2] = 1 f = 1 for i in range(3, MAX, 2): if prime[i] is True: f += 1; cnt[i] = f cnt[i+1] = f while True: try: print(cnt[int(input())]) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s046170693
p00009
Accepted
# AOJ 0009 Prime Number # Python3 2018.6.9 bal4u MAX = 1000000 SQRT = 1000 # sqrt(MAX) prime = [0] * MAX def sieve(): for i in range(3, MAX, 2): prime[i] = 1 for i in range(3, SQRT, 2): if prime[i] == 1: for j in range(i*i, MAX, i): prime[j] = 0 sieve() cnt = [0] * (MAX+1) cnt[2] = f = 1 for i in range(3, MAX, 2): if prime[i]: f += 1; cnt[i] = cnt[i+1] = f while True: try: print(cnt[int(input())]) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s349524642
p00009
Accepted
def primes(n): is_prime = [True] * (n + 1) is_prime[0] = False is_prime[1] = False for i in range(2, int(n**0.5) + 1): if not is_prime[i]: continue for j in range(i * 2, n + 1, i): is_prime[j] = False return [i for i in range(n + 1) if is_prime[i]] if __name__ == "__main__": while True: try: n = int(input()) print(len(primes(n))) except: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s827763545
p00009
Accepted
#!/usr/bin/env python import sys list=1000000*[1] list[0] = 0 list[1] = 0 for i in range(1,1000000): if list[i] == 1: for j in range(i*i,1000000,i): list[j] = 0 for i in range(2,1000000): list[i] += list[i-1] for line in sys.stdin: a = int(line) print list[a]
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s161412016
p00009
Accepted
#!/usr/bin/env python import sys list=1000000*[1] list[0] = 0 list[1] = 0 for i in range(1,1000000): if list[i] == 1: for j in range(i*i,1000000,i): list[j] = 0 for line in sys.stdin: a = int(line) b = 0 for x in range(1,a+1): b += list[x] print b
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s757010037
p00009
Accepted
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 #!/usr/bin/env python import sys list=1000000*[1] list[0] = 0 list[1] = 0 for i in range(1,1000000): if list[i] == 1: for j in range(i*i,1000000,i): list[j] = 0 for i in range(2,1000000): list[i] += list[i-1] for line in sys.stdin: a = int(line) print list[a]
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s806682496
p00009
Accepted
# -*- coding: utf-8 -*- list = [1]*1000000 list[0] = 0 list[1] = 0 for i in range(1, 1000000): if list[i] == 1: for j in range(i**2, 1000000, i): list[j] = 0 for i in range(2, 1000000): list[i] += list[i -1] while True: try: n = int(raw_input()) print(list[n]) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s703201864
p00009
Accepted
import sys list = [1]*1000000 list[0]=0 list[1]=0 for i in range(1,1000000): if list[i]==1: for j in range(i**2, 1000000, i): list[j]=0 for i in range(2, 1000000): list[i]+=list[i-1] for l in sys.stdin: print list[int(l)]
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s004881555
p00009
Accepted
import sys n=10**6 s=[True]*n s[0]=False s[1]=False for x in xrange(2, int(n**0.5)+1): if s[x]: for i in xrange(x+x,n,x): s[i]=False for x in sys.stdin.readlines(): x=int(x)+1 cnt=0 for i in xrange(x): if s[i]: cnt=cnt+1 print cnt
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s719083059
p00009
Accepted
n = 10**6 c = 0 ps = [False]*(n+1) for i in xrange(2, n+1): if i%2 != 0 or i == 2: ps[i] = True for i in xrange(2, int(n**0.5+1)): if ps[i]: for j in xrange(i**2, n+1, i): ps[j] = False while 1: try: n = input() if n == 2: print 1 else: print len([0 for i in xrange(2, n+1) if ps[i]]) except EOFError: break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s615653991
p00009
Accepted
N = 10 ** 6 sieve = map(lambda x:False, range(2, N + 1)) for i in range(2, N + 1): if sieve[i - 2]: continue for j in range(i * 2, N + 1, i): sieve[j - 2] = True while True: try: n = int(raw_input()) except EOFError: break print sieve[:n - 1].count(False)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s340414121
p00009
Accepted
def sieve(n): a = [1] * (n + 1) for i in range(2, n): if i * i > n: break if a[i]: for j in range(2 * i, n + 1, i): a[j] = 0 return a[2:] while True: try: n = int(raw_input()) print len(filter(lambda x: x, sieve(n))) except (EOFError): break
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s096902962
p00009
Accepted
from __future__ import (division, absolute_import, print_function, unicode_literals) from sys import stdin def enum_prime(n): if n < 2: return [] if n == 2: return [2] L = list(range(2, n + 1)) PL = [] while True: PL.append(L[0]) L = [i for i in L if i % PL[-1] != 0] if L[-1] < PL[-1] ** 2: return PL + L primelist = enum_prime(999999) for line in stdin: n = int(line) cnt = 0 for p in primelist: if n < p: break cnt += 1 print(cnt)
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s891622412
p00009
Accepted
''' Created on Mar 11, 2013 @author: wukc ''' import sys N=999999+1 prime=[True for i in range(N)] cnt=[0 for i in range(N)] prime[0:2]=[False,False] for i in range(2,N): cnt[i]=cnt[i-1] if prime[i]: cnt[i]+=1 for j in range(2*i,N,i): prime[j]=False for l in sys.stdin: n=int(l) print cnt[n] #print prime
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>
s213489132
p00009
Accepted
import sys n=1000000 pr=[1]*n pr[0],pr[1]=0,0 for i in range(2,int(n**0.5)+1): if pr[i]==1: for j in range(i**2,n,i): pr[j]=0 for i in range(2,n): pr[i]+=pr[i-1] for line in sys.stdin: print pr[int(line)]
10 3 11
4 2 5
<H1>Prime Number</H1> <p> Write a program which reads an integer <var>n</var> and prints the number of prime numbers which are less than or equal to <var>n</var>. A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7. </p> <H2>Input</H2> <p> Input consists of several datasets. Each dataset has an integer <var>n</var> (1 &le; <var>n</var> &le; 999,999) in a line. </p> <p> The number of datasets is less than or equal to 30. </p> <H2>Output</H2> <p> For each dataset, prints the number of prime numbers. </p> <H2>Sample Input</H2> <pre> 10 3 11 </pre> <H2>Output for the Sample Input</H2> <pre> 4 2 5 </pre>