submission_id
string
problem_id
string
status
string
code
string
input
string
output
string
problem_description
string
s936614994
p00009
Accepted
import sys 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 xrange(i**2,n,i): pr[j]=0 for i in xrange(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>
s436070248
p00009
Accepted
import sys def prime_list(n): limit = int(n ** 0.5) + 1 lis = range(1, n + 1, 2) lis[0] = 2 while True: if len(lis) == 0: break p = lis.pop(0) yield p if p <= limit: lis = [x for x in lis if x % p != 0] def primes_number(n): primes = [] for p in prime_list(n): primes.append(p) return primes ns = map(int, sys.stdin.readlines()) max_n = max(ns) primes = primes_number(max_n) for n in ns: p = len(filter(lambda x: x <= n, primes)) print p
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>
s914965684
p00009
Accepted
max = 1000000 candidates = [True for x in range(0, max + 1)] candidates[0] = False candidates[1] = False for i in range(2, max / 2): if not candidates[i]: continue j = i + i while True: if max < j: break candidates[j] = False j += i while True: try: n = int(raw_input()) print len([i for i in candidates[0:n+1] if i]) except Exception: 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>
s180167819
p00009
Accepted
import math max = 1000000 candidates = [True for x in xrange(0, max + 1)] candidates[0] = False candidates[1] = False for i in xrange(2, int(math.sqrt(max))): if not candidates[i]: continue j = i + i while True: if max < j: break candidates[j] = False j += i while True: try: n = int(raw_input()) print len([i for i in candidates[0:n+1] if i]) except Exception: 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>
s626843424
p00009
Accepted
p = [1] n = [0,0] c = 0 for i in range(1,1000000): p.append(0) for i in range(2,1000000): if p[i]==1 : n.append(c) continue c += 1 n.append(c) for j in range(i*i,1000000,i): if p[j]==0 : p[j]=1 while True: try: nn = int(raw_input()) print n[nn] 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>
s466157749
p00009
Accepted
import sys def sieve(n): prime = [True] * (n + 1) prime[0] = prime[1] = False for i in xrange(2, int((n + 1) ** 0.5) + 1): if prime[i]: for j in xrange(i * i, n + 1, i): prime[j] = False return [i for i in xrange(2, n + 1) if prime[i]] for line in sys.stdin: n = int(line) print len(sieve(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>
s766481769
p00009
Accepted
import math def get_primes(max_number):#return prime list smaller than max_number if max_number == 2: return [2] elif max_number < 3: return [] numbers=range(1, max_number + 2, 2) nroot=math.floor(max_number ** 0.5) n=len(numbers) numbers[0]=0 for i in range(1, n): x = numbers[i] if x > nroot: break if x and i + x < n: for j in range(i+x,n,x): numbers[j] = 0 x=[2] + filter(None, numbers[1:]) return x n=[] i=0 while (True): try: n.append([i,input(), 0]) i+=1 except: break n=sorted(n, key=lambda x: x[1]) for i, e in enumerate(get_primes(n[-1][1])): for j in range(len(n)): if e<=n[j][1]: n[j][2]+=1 n=sorted(n, key=lambda x: x[0]) for e in n: print e[2]
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>
s423912867
p00009
Accepted
m = 1000000 p = [True] * (m+1) for i in range(2, m+1): if p[i-2]: for j in range(i*2, m+1, i): p[j-2] = False while True: try: n = int(raw_input()) print p[:n-1].count(True) 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>
s600631633
p00009
Accepted
# Prime Number import sys MAX_NUM = 1000000 ROOT_MAX_NUM = 1000 primes = [1] * MAX_NUM primes[0] = primes[1] = 0 for i in xrange(2, ROOT_MAX_NUM): if not primes[i]: continue for j in xrange(i+i, MAX_NUM, i): primes[j] = 0 datas = [] for line in sys.stdin: datas.append(int(line)) for data in datas: count = 0 for i in xrange(data+1): if primes[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>
s208586246
p00009
Accepted
p = [0 for x in range(999999)] for x in xrange(1,999999,2): z = int(x**0.5)+1 for y in xrange(3,z,2): if x % y == 0: break else: p[x] = 1 p[1], p[2] = 0, 1 while 1: try: n = input() print sum(p[:n+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>
s088183486
p00009
Accepted
import math import sys n = 999999 nums = [1] * (n+1) nums[:2] = [0,0] cnt = 0 while cnt <= math.sqrt(n): flg = nums[cnt] if flg == 1: k = 2 while k*cnt <= n: nums[k*cnt] = 0 k += 1 cnt += 1 for line in sys.stdin: n = int(line) print sum(nums[:n+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>
s692993722
p00009
Accepted
import sys,random rand = random.randint def prime(n): if n == 2: return True if n < 2 or n & 1 == 0: return False d = (n-1) >> 1 while d & 1 == 0: d >>= 1 for i in range(10): a = rand(1,n-1) t = d y = pow(a,t,n) while t != n-1 and y != 1 and y != n-1: y = pow(y,2,n) t <<= 1 if y != n-1 and t & 1 == 0: return False return True a = [prime(i) for i in range(1000000)] for s in sys.stdin: i = int(s) print(a[:i+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>
s821914633
p00009
Accepted
import sys,random rand = random.randint def prime(n): if n == 2: return True if n < 2 or n & 1 == 0: return False d = (n-1) >> 1 while d & 1 == 0: d >>= 1 for i in range(5): a = rand(1,n-1) t = d y = pow(a,t,n) while t != n-1 and y != 1 and y != n-1: y = pow(y,2,n) t <<= 1 if y != n-1 and t & 1 == 0: return False return True a = [prime(i) for i in range(1000000)] for s in sys.stdin: i = int(s) print(a[:i+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>
s654850537
p00009
Accepted
import sys,random rand = random.randint def prime(n): if n == 2: return True if n < 2 or n & 1 == 0: return False d = (n-1) >> 1 while d & 1 == 0: d >>= 1 for i in range(4): a = rand(1,n-1) t = d y = pow(a,t,n) while t != n-1 and y != 1 and y != n-1: y = pow(y,2,n) t <<= 1 if y != n-1 and t & 1 == 0: return False return True a = [prime(i) for i in range(1000000)] for s in sys.stdin: i = int(s) print(a[:i+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>
s634743168
p00009
Accepted
import sys,random rand = random.randint def prime(n): if n == 2: return True if n < 2 or n & 1 == 0: return False d = (n-1) >> 1 while d & 1 == 0: d >>= 1 for i in range(3): a = rand(1,n-1) t = d y = pow(a,t,n) while t != n-1 and y != 1 and y != n-1: y = pow(y,2,n) t <<= 1 if y != n-1 and t & 1 == 0: return False return True a = [prime(i) for i in range(1000000)] for s in sys.stdin: i = int(s) print(a[:i+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>
s058215046
p00009
Accepted
import sys a = [True] * 1000000 for i in range(2,1000000): if(a[i-1]): for j in range(i**2-1, 1000000, i): a[j] = False for s in sys.stdin: print(a[1:int(s)].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>
s906054817
p00009
Accepted
import sys,math def prime(m): N=range(1,m+2,2) r=int(m**.5) h=len(N) N[0]=0 for i in range(h): x=N[i] if x>r:break if x and i+x<h:N[i+x:h:x]=[0]*((h-1-i-x)/x+1) N[0]=2 return filter(None,N) A=map(int,sys.stdin) n=max(A) B=[0]*(n+1) i=0 c=0 for e in prime(n): while e>i: B[i]=c i+=1 c+=1 if i==n+1:break else: for i in range(i,n+1):B[i]=c for e in A:print B[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>
s105116704
p00009
Accepted
# -*- coding: utf-8 -*- import sys limit = 1000000 prime01List = [1]*limit prime01List[0] = 0 # 1 is not prime for i in xrange(2, int(limit**0.5)+1): n = 2*i while(n <= limit): prime01List[n-1] = 0 n += i ansList = [0]*limit cnt = 0 for i in xrange(limit): cnt += prime01List[i] ansList[i] = cnt #for line in ["999999"]: for line in sys.stdin.readlines(): List = map(int, line.strip().split()) n = List[0] print ansList[n-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>
s920217939
p00009
Accepted
import math prime = [1 for i in range(999999)] prime[0] = 0 for i in range(2,999999/2): prime[2*i-1] = 0 for i in range(3,int(math.sqrt(999999)),2): mx = 2*i while mx <= 999999: prime[mx-1] = 0 mx += i while True: try: n = int(raw_input()) print sum(prime[: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>
s248358892
p00009
Accepted
import math r = 999999 sqrt = int(math.sqrt(r)) prime = [1 for i in range(r)] prime[0] = 0 for i in range(2,r/2): prime[2*i-1] = 0 for i in range(3,sqrt,2): mx = 2*i while mx <= r: prime[mx-1] = 0 mx += i while True: try: n = int(raw_input()) print sum(prime[: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>
s254019173
p00009
Accepted
import math r = 999999 sqrt = int(math.sqrt(r)) prime = [1 for i in range(r)] prime[0] = 0 for i in range(2,r/2): prime[2*i-1] = 0 for i in range(3,sqrt,2): for j in range(2*i,r+1,i): prime[j-1] = 0 while True: try: n = int(raw_input()) print sum(prime[: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>
s561518495
p00009
Accepted
import math r = 999999 sqrt = int(math.sqrt(r)) p = [1 for i in range(r)] p[0] = 0 for i in range(1,sqrt): if p[i]: for j in range(2*(i+1)-1,r,i+1): p[j] = 0 while True: try: n = int(raw_input()) print sum(p[: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>
s907568400
p00009
Accepted
import math r = 999999 sqrt = int(math.sqrt(r)) p = [1 for i in range(r)] p[0] = 0 for i in range(1,sqrt): if p[i]: for j in range(2*i+1,r,i+1): p[j] = 0 while True: try: n = int(raw_input()) print sum(p[: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>
s079646791
p00009
Accepted
import math r = 999999 sqrt = int(math.sqrt(r)) p = [1]*r p[0] = 0 for i in range(1,sqrt): if p[i]: for j in range(2*i+1,r,i+1): p[j] = 0 while True: try: n = int(raw_input()) print p[:n].count(1) 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>
s211453984
p00009
Accepted
import math r = 999999 sqrt = int(math.sqrt(r)) p = [1]*r p[0] = 0 for i in range(1,sqrt): if p[i]: for j in range(2*i+1,r,i+1): p[j] = 0 while True: try: n = int(raw_input()) print sum(p[: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>
s599155594
p00009
Accepted
import math n = [] while True: try: n.append(int(raw_input())) except: break r = max(n)+1 sqrt = int(math.sqrt(r)) p = [1]*r p[0] = 0 for i in range(1,sqrt): if p[i]: for j in range(2*i+1,r,i+1): p[j] = 0 for i in n: print sum(p[: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>
s195763521
p00009
Accepted
import math n = [] while True: try: n.append(int(raw_input())) except: break r = max(n)+1 sqrt = int(math.sqrt(r)) p = [1]*r p[0] = 0 for i in range(1,sqrt): if p[i]: p[2*i+1::i+1] = [0 for x in range(2*i+1,r,i+1)] for i in n: print sum(p[: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>
s805200694
p00009
Accepted
import math n = [] while True: try: n.append(int(raw_input())) except: break r = max(n)+1 sqrt = int(math.sqrt(r)) p = [1]*r p[0] = 0 p[3::2] = [0 for x in range(3,r,2)] for i in range(2,sqrt,2): if p[i]: p[2*i+1::i+1] = [0 for x in range(2*i+1,r,i+1)] for i in n: print sum(p[: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>
s643611279
p00009
Accepted
import sys ifprime = [1]*(1000000) ifprime[0] = ifprime[1] = 0 a = 2 while a < 1000000: if ifprime[a]: b = a*a while b < 1000000: ifprime[b] = 0 b += a a += 1 for n in sys.stdin: print sum(ifprime[:int(n)+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>
s472444619
p00009
Accepted
#!/usr/bin/env python # -*- coding:utf-8 -*- #from __future__ import print_function import time import sys import io import re import math start = time.clock() def prime(n): l=[True for _ in range(n+1)] i=2 while i**2<=n: if l[i]: j=i+i while j<=n: l[j]=False j+=i i+=1 return l # lis=[i for i in range(n+1) if l[i] and i>=2] for n in sys.stdin: print (prime(int(n))).count(True)-2
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>
s796668380
p00009
Accepted
def sieve(n): prime = [True] * n prime[0] = prime[1] = False for i in xrange(2, int(n ** 0.5) + 1): if prime[i]: for j in range(i * i, n, i): prime[j] = False return [i for i in xrange(2, n) if prime[i]] while 1: try: print len(sieve(input() + 1)) 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>
s426174246
p00009
Accepted
from bisect import bisect def sieve(n): prime = [True] * n prime[0] = prime[1] = False for i in xrange(2, int(n ** 0.5) + 1): if prime[i]: for j in range(i * i, n, i): prime[j] = False return [i for i in xrange(2, n) if prime[i]] primes = sieve(999999) while 1: try: print bisect(primes, 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>
s479388445
p00009
Accepted
import bisect def sieve(n): a = range(n) a[0], a[1] = None, None for i in range(2, n): if i ** 2 >= n: break if a[i] is None: continue for j in range(i ** 2, n, i): a[j] = None j = 0 for i in range(n): if a[i] is not None: a[j] = a[i] j += 1 return a[0:j] a = sieve(1000000) try: while True: print bisect.bisect_right(a, int(raw_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>
s300362422
p00009
Accepted
from bisect import bisect def sieve(n): num = [True]*n num[0] = num[1] = False for i in xrange(2,int(n**0.5)+1): if num[i]: for j in xrange(i**2, n, i): num[j] = False return [i for i in xrange(2,n) if num[i]] prime = sieve(999999) while True: try: print bisect(prime, 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>
s651252251
p00009
Accepted
from bisect import bisect def sieve(n): num = [True]*n num[0] = num[1] = False for i in xrange(2,int(n**0.5)+1): if num[i]: for j in xrange(i**2, n, i): num[j] = False return [i for i in xrange(2,n) if num[i]] prime = sieve(999999) while True: try: print bisect(prime, 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>
s371009744
p00009
Accepted
from bisect import bisect n = 10000000 sn = int(n**0.5)+1 num = [False, False] + [True]*(n-1) for i in xrange(2, int(n**0.5)+1): if num[i]: for j in xrange(i**2, n, i): num[j] = False prime = [i for i in xrange(2, n) if num[i]] while True: try: print bisect(prime, 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>
s356781786
p00009
Accepted
from bisect import bisect n = 1000000 sn = int(n**0.5)+1 num = [False, False] + [True]*(n-1) for i in xrange(2, int(n**0.5)+1): if num[i]: for j in xrange(i**2, n, i): num[j] = False prime = [i for i in xrange(2, n) if num[i]] while True: try: print bisect(prime, 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>
s838854370
p00009
Accepted
era = [True]*1000001 for i in xrange(2,1000001): if era[i-2]: for j in xrange(i*2,1000001,i): era[j-2]=False while True: try: n = int(raw_input()) print era[:n-1].count(True) 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>
s075723666
p00009
Accepted
while True: try: n = int(input()) except: break a = [0 for i in range(n + 1)] # sieve i = 3 while i * i <= n: for j in range(3 * i, n + 1, 2 * i): a[j] = 1 i += 2 count = int(n >= 2) count += sum(a[i] == 0 for i in range(3, n + 1, 2)) 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>
s817952157
p00009
Accepted
a = [True for i in range(1000000)] i = 3 while i * i < 1000000: for j in range(3 * i, 1000000, 2 * i): a[j] = False i += 2 while True: try: n = int(input()) except: break count = int(n >= 2) + sum(a[i] for i in range(3, n + 1, 2)) 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>
s706266410
p00009
Accepted
a = [True for i in range(1000000)] i = 3 while i * i < 1000000: for j in range(3 * i, 1000000, 2 * i): a[j] = False i += 2 while True: try: n = int(input()) except: break count = int(n >= 2) + sum(a[i] for i in range(3, n + 1, 2)) 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>
s581564188
p00009
Accepted
import sys def readint(): for line in sys.stdin: yield int(line) def getprimes(maxn): sieve = [0 for i in range(0,maxn+1)] ps = set() for p in range(2,maxn+1): if sieve[p]: continue else: ps.add(p) for k in range(p,maxn+1,p): sieve[k] = 1 return ps ns = [x for x in readint()] primes = getprimes(max(ns)) for n in ns: print len(filter(lambda x:n>=x, primes))
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>
s631006055
p00009
Accepted
def sieve(n): p = [True for i in range(n + 1)] p[0] = p[1] = False end = int(n ** .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 def primes_below(n): if n < 2: return 0 c = 1 for i in range(3, n + 1, 2): if p[i]: c += 1 return c p = sieve(1000000) while 1: try: n = int(input()) except EOFError: break else: print(primes_below(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>
s770655061
p00009
Accepted
import math MAX = 1000000 A = [1]*MAX for i in range(2,int(math.sqrt(MAX))+1): if A[i]==1: for j in range(2*i,MAX,i): A[j]=0 A[0]=0 A[1]=0 for i in range(1,MAX): A[i] += A[i-1] while True: try: n = int(input()) except: break print(A[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>
s949452170
p00009
Accepted
import math while True: try: n=int(input()) num=list(range(n+1)) #[0,1,,,,n]が出力される num[1]=0 for i in range(n): if num[i]>pow(n,0.5): break if num[i]==0: continue for j in range(num[i]*2, n+1, num[i]): #num[i]*2からn+1までnum[i]個飛ばしで num[j]=0 print(n+1-num.count(0)) 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>
s849759338
p00009
Accepted
a=[1 for i in range(1000001)] b=[0,0] a[0]=a[1]=0 c=0 for i in range(2,1000001): if a[i]==1: c+=1 for j in range(i * 2,1000001,i): a[j]=0 b.append(c) while True: try: print(b[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>
s595478333
p00009
Accepted
n = 1000000 a = [True for i in range(n)] i = 3 while i * i < n: for j in range(3 * i, n, 2 * i): a[j] = False i += 2 while True: try: b = int(input()) except: break count = int(b >= 2) + sum(a[i] for i in range(3, b + 1, 2)) 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>
s853736240
p00009
Accepted
# coding: utf-8 # Your code here! a=[1 for i in range(1000001)] b=[0,0] a[0]=a[1]=0 c=0 for i in range(2,1000001): if a[i]==1: c+=1 for j in range(i*2,1000001,i): a[j]=0 b.append(c) while True: try: print(b[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>
s300003029
p00009
Accepted
def sieve(n=10**6): p=[1]*(n+1) for i in range(2,n+1): if p[i]: for j in range(2*i,n+1,i):p[j]=0 p[0],p[1]=0,0 return p while True: try:print(sum(sieve(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>
s853704673
p00009
Accepted
while True: try: n=int(input()) num=list(range(n+1)) num[1]=0 for i in range(n): if num[i]>n**0.5: break if num[i]==0: continue for j in range(num[i]*2,n+1,num[i]): num[j]=0 print(n+1-num.count(0)) 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>
s473517895
p00009
Accepted
import sys 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]] for e in sys.stdin: n = int(e) print(len(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>
s593292997
p00009
Accepted
# coding: utf-8 # Your code here! MAX = 1000000 s = [1] * MAX s[0] = 0 s[1] = 0 start = 2 while True: pmb = 0 for i in range(start, MAX): if s[i] == 1: pmb = i break if pmb == 0: break for i in range(pmb ** 2, MAX, pmb): s[i] = 0 start += 1 while True: try: n = int(input()) c = 0 for i in range(2, n + 1): if s[i] == 1: c += 1 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>
s519248937
p00009
Accepted
import math a = [1]*1000000 for i in range(2,1000000): for j in range(i+i,1000000)[::i]: a[j] = 0 b = [0]*1000000 b[0] = b[1] = 0 for i in range(2,1000000): if a[i] == 1: b[i] = b[i-1] + 1 else: b[i] = b[i-1] while True: try: print(b[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>
s109586366
p00009
Accepted
N = 1000000 p = [1] * N (p[0],p[1]) = (0,0) for i in range(N): if (p[i]): for j in range (i*2,N,i): p[j] = 0 for i in range (1,N): p[i] += p[i-1] while True: try: n = int(input()) except EOFError: break print (p[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>
s152943860
p00009
Accepted
x = [1 for i in range(10 ** 6 + 1)] x[0] = x[1] = 0 for i in range(10 ** 6 + 1): if x[i] == 1: for j in range(i * 2, 10 ** 6 + 1, i): x[j] = 0 while 0 == 0: try: n = int(input()) c = 0 for i in range(n + 1): c += x[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>
s839563134
p00009
Accepted
while True: try: n = int(input()) num = list(range(n + 1)) num[1] = 0 for i in range(n): if num[i] > n ** 0.5: break if num[i] == 0: continue for j in range(num[i] * 2, n + 1, num[i]): num[j] = 0 print(n + 1 - num.count(0)) 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>
s281150467
p00009
Accepted
def sieve(n=10**6): p=[1]*(n+1) for i in range(2,n+1): if p[i]: for j in range(2*i,n+1,i):p[j]=0 p[0],p[1]=0,0 return p while True: try:print(sum(sieve(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>
s703200934
p00009
Accepted
# coding: utf-8 LIMIT = 999999 # 1 から LIMIT までのリスト # 素数(の候補)を 1 、素数でないもを 0 とする # 2 以外の偶数は素数ではない prime = [0, 1] + [0 if i % 2 == 0 else 1 for i in range(3, LIMIT + 1)] # 3 から LIMIT の平方根までを走査 for i in range(3, int(LIMIT ** 0.5) + 1): # 対象が素数である場合 if prime[i - 1] == 1: # 自身の倍数は素数ではない for j in range(i ** 2, LIMIT + 1, i): # 素数ではないので 0 prime[j - 1] = 0 while True: try: n = int(input()) except EOFError: break # 1 から n までの素数の個数を合計して出力 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>
s488468689
p00009
Accepted
def prime_checker(n, option = False) -> list: p = [False, True, False, False, False, True] * (n // 6 + 1) del p[n + 1:] p[1 : 4] = False, True, True for x in range(5, int(n**.5 + 1)): if p[x]: p[x * x :: 2*x] = [False] * ((n // x - x) // 2 + 1) return [e for e, q in enumerate(p) if q] if option else p from itertools import accumulate *c, = map(int, open(0)) *p, = accumulate(prime_checker(max(c))) for i in c: print(p[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>
s492049984
p00009
Accepted
import math while True: try: n = int(input()) primes = [1] * (n+1) for i in range(2, int(math.sqrt(n))+1): if primes[i] == 1: for j in range(i*i, n+1, i): primes[j] = 0 print(sum(primes)-2) 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>
s314521131
p00009
Accepted
#79 素数の数 import math while(1): try: n = int(input()) except: break m = int(math.sqrt(n)) keys = [n // i for i in range(1, m+1)] #1からm+1の間のみn//iを行う keys += range(keys[-1]-1, 0, -1) #range(始まりの数値,最後の数値,増加量) h = {i: i-1 for i in keys} for i in range(2, m+1): if h [i] > h[i-1]: hp = h[i-1] i2 = i*i for j in keys: if j < i2: break h[j] -= h[j // i] - hp print(h[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>
s179629805
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>
s293870274
p00009
Accepted
kazu=[] Max=1000000 def era(kazu,Max): sosu=list(range(2,Max)) while True: num=sosu[0] if num>=Max**0.5: kazu+=sosu return kazu kazu.append(num) sosu=[i for i in sosu if i%num!=0] era(kazu,Max) while True: try: n=int(input()) if n==1: print(0) elif n==2: print(1) elif n>=max(kazu): print(len(kazu)) else: for i in range(n+1): if kazu[i]==n: print(i+1) break elif kazu[i]>n: print(i) break 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>
s043337062
p00009
Accepted
import math def sosu(n) : for i in range(3, int(math.sqrt(n))+1, 2) : if n % i == 0 : return False return True S = [0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 4] for i in range(11, 1000000) : if i % 2 == 0 : S.append(S[i-1]) elif sosu(i) : S.append(S[i-1]+1) else : S.append(S[i-1]) while True : try : n = int(input()) except EOFError : break print(S[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>
s457038923
p00009
Accepted
import math def kosu(n): l=[] sosu = [True] * (n + 1) sosu[0]= False sosu[1]= False for i in range(2,math.floor(math.sqrt(n))+1): if not sosu[i]: continue for j in range(i*2,n+1,i): sosu[j] = False for i in range(len(sosu)): if sosu[i]: l.append(i) return(l) while True: try: n = int(input()) except EOFError: break print(len(kosu(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>
s808355859
p00009
Accepted
N = 1000000 p = [ 1 ] * N ( p[ 0 ], p[ 1 ] ) = ( 0, 0 ) for i in range ( len ( p ) ): if ( p[ i ] ): for j in range ( i * 2, len ( p ), i ): p[ j ] = 0 for i in range ( 1, len ( p ) ): p[ i ] += p[ i - 1 ] while True: try: n = int ( input ( ) ) except EOFError: break print ( p[ 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>
s937646898
p00009
Accepted
def so(x): a=[] b=[True]*(n+1) b[0]=False b[1]=False for i in range(2,int(x**0.5)+1): if not b[i]: continue for j in range(i*2,n+1,i): b[j]=False for k in range(len(b)): if b[k]: a.append(k) print(len(a)) while True: try: n = int(input()) except: break so(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>
s807565966
p00009
Accepted
MAX = 1000000 s = [1]*MAX s[0] = 0 s[1] = 0 start = 2 while True: pmb = 0 for i in range(start, MAX): if s[i] == 1: pmb = i break if pmb == 0: break for i in range(pmb**2, MAX, pmb): s[i] = 0 start += 1 while True: try: n = int(input()) c = 0 for i in range(2, n+1): if s[i] == 1: c += 1 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>
s557019111
p00009
Accepted
import math def sosu(n) : for i in range(3, int(math.sqrt(n))+1, 2) : if n % i == 0 : return False return True S = [0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 4] for i in range(11, 1000000) : if i % 2 == 0 : S.append(S[i-1]) elif sosu(i) : S.append(S[i-1]+1) else : S.append(S[i-1]) while True : try : n = int(input()) except EOFError : break print(S[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>
s719640473
p00009
Accepted
import math a = [1]*1000000 for i in range(2,1000000): for j in range(i+i,1000000)[::i]: a[j] = 0 b = [0]*1000000 b[0] = b[1] = 0 for i in range(2,1000000): if a[i] == 1: b[i] = b[i-1] + 1 else: b[i] = b[i-1] while True: try: print(b[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>
s039538925
p00009
Accepted
# coding: utf-8 # 79 N=[] while True: try: N.append(int(input())) except: break 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]] s = primes(max(N)) for k in N: A=len([x for x in s if x <= k]) print(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>
s369210029
p00009
Accepted
#0009 a = [] l = [2] while True: try: a.append(int(input())) except: break 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]] z = primes(max(a)) for k in a: y = len([x for x in z if x <= k]) print(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>
s828442813
p00009
Accepted
prime=[2] for i in range(3,1000000,2): primeq=True for p in prime: if i%p==0: primeq=False break if i<p*p:break if primeq:prime.append(i) while True: try: n=int(input()) ans=0 for p in prime: if p>n:break ans+=1 print(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>
s467975399
p00009
Accepted
MAX=1000000 B=[] def P(MAX,B): A=[i for i in range(2,MAX+1)] lim=MAX**(1/2) while True: p=A[0] if p>lim: B+=A return B else: B.append(p) A=[i for i in A if i%p!=0] P(MAX,B) while True: try: n=int(input()) if n==1: print(0) elif n>=max(B): print(len(B)) else: for i in range(n+1): if B[i]==n: print(i+1) break if B[i]>n: print(i) break 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>
s586379615
p00009
Accepted
import math while True: try: n=int(input()) num=list(range(n+1)) num[1]=0 for i in range(n): if num[i]>pow(n,0.5): break if num[i]==0: continue for j in range(num[i]*2, n+1, num[i]): num[j]=0 print(n+1-num.count(0)) 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>
s401963839
p00009
Accepted
lst = [1]*999999 for i in range(999999): if i == 0: lst[i] = 0 else: if lst[i] == 1: j = i +1 k = i while True: k = k + j if k >= 999999: break lst[k] = 0 while True: try: n = int(input()) anslst = lst[:n] print(sum(anslst)) 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>
s311703300
p00009
Accepted
#!/usr/bin/env python3 """Enumerates primes in an interval. Verification: [0009](https://onlinejudge.u-aizu.ac.jp/status/users/hamukichi/submissions/1/0009/judge/4571021/Python3) """ import math import sys def segment_sieve(begin, end): """Enumerates the prime numbers in [`begin`, `end`). Returns (as a tuple): - `is_prime`: a list of bool values. If an integer `i` is a prime number, then `is_prime[i - begin]` is True. Otherwise `is_prime[i -begin]` is False. - `primes`: a list of prime numbers in [`begin`, `end`). """ assert 1 < begin <= end sqrt_end = math.ceil(math.sqrt(end)) is_prime_small = [True for i in range(sqrt_end)] is_prime_small[0] = False is_prime_small[1] = False is_prime = [True for i in range(end - begin)] for i in range(2, sqrt_end): if is_prime_small[i]: for j in range(2 * i, sqrt_end, i): is_prime_small[j] = False for k in range(max(2, (begin + i - 1) // i) * i, end, i): is_prime[k - begin] = False primes = [i for i, cond in enumerate(is_prime, begin) if cond] return is_prime, primes def main(): ns = [int(n) for n in sys.stdin.readlines()] max_n = max(ns) begin = 2 is_prime, _ = segment_sieve(begin, max_n + 1) for n in ns: print(sum(is_prime[:n + 1 - begin])) 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>
s946331964
p00009
Accepted
import math P = [] # 素数一覧リスト Max = 1000000 def Era(P, Max) : D = list(range(2, Max)) limit = math.sqrt(Max) while True : p = D[0] if limit <= p : P += D return P P.append(p) D = [d for d in D if d % p != 0] # D に含まれる値かつ p で割り切れない値をリスト化 Era(P, Max) while True : try : n = int(input()) if n == 1 : print(0) elif n == 2 : print(1) elif n >= max(P) : print(len(P)) else : for i in range(n + 1) : if P[i] == n : print(i + 1) break elif P[i] > n : print(i) break 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>
s468606259
p00009
Accepted
# coding: utf-8 # Your code here! MAX = 1000000 #エラトステネスの篩を用いて素数リストを予め作成する s = [1] * MAX ## まずは全ての数が素数か不明ということにしておく ## s[2]以降をfor文で1に変換するより、s[0]s[1]を0とする方が繰り返しを使わずに済む s[0] = 0 s[1] = 0 start = 2 while True: ## はじめにpmbを0で初期化しておかないと、pmb==0という条件に入ることはない pmb = 0 for i in range(start, MAX): if s[i] == 1: #素数か否か不明な数の中で最小値を探す pmb = i break #見つかったらループを抜ける #print("リストsの中身", s) if pmb == 0: break #素数が見つからなかった #篩にかける for i in range(pmb ** 2, MAX, pmb): s[i] = 0 #素数でない要素を0にする start += 1 #素数一覧をを表示 # for i in range(2, MAX): # if s[i] == 1: # print(i) while True: try: n = int(input()) c = 0 for i in range(2, n + 1): if s[i] == 1: c += 1 print(c) except EOFError: break ## tryできたときに行いたい処理はtryのインデント内に書く # c = 0 # for i in range(2, n + 1): # if s[i] == 1: # c += 1 # print(c)
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>
s007227445
p00009
Accepted
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]==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>
s504344354
p00009
Accepted
import math import sys isPrime=[False, False] for i in range(2,1000000): isPrime.append(True) for i in range(2,int(math.sqrt(1000000))): if isPrime[i]: for j in range(i*i, 1000000, i): isPrime[j]=False nPrime=[] cnt=0 for i in range(0,1000000): if isPrime[i]: cnt=cnt+1 nPrime.append(cnt) for l in sys.stdin: print(nPrime[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>
s020563685
p00009
Accepted
import math import sys is_prime = [i for i in range(1000000)] is_prime[0] = is_prime[1] = False for i in range(2,1000000): is_prime[i] = True for i in range(2,1000000): if i*i >= 1000000: break if is_prime[i]: for j in range(i*i,1000000,i): is_prime[j] = False n_prime = [i for i in range(1000000)] cnt = 0 for i in range(1000000): if is_prime[i]: cnt += 1 n_prime[i] = cnt a=[] for i in sys.stdin: a.append(int(i)) for i in range(0,len(a)): print(n_prime[a[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>
s959548308
p00009
Accepted
check = [False,False] for i in range(0,999998): check.append(True) for i in range(2,1000000): if(check[i]): for j in range(i*i,1000000,i): check[j]=False while True: try: ans = 0 a = int(input()) for y in range(0,a+1): if(check[y]): ans += 1 print(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>
s164851027
p00009
Accepted
is_prime = [False,False] for i in range(2,1000000): is_prime.append(True) for i in range(2,1000000): if is_prime[i]: for j in range(i*i,1000000,i): is_prime[j] = False n_prime = [0,0] cnt = int(0) for i in range(2,1000000): if is_prime[i]: cnt += 1 n_prime.append(cnt) while True: try: n = int(input()) print(n_prime[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>
s087153584
p00009
Accepted
is_prime = [i for i in range(1000000)] is_prime[0] = is_prime[1] = False for i in range(2,1000000): is_prime[i] = True for i in range(2,1000000): if i*i >= 1000000: break if is_prime[i]: for j in range(i*i,1000000,i): is_prime[j] = False n_prime = [i for i in range(1000000)] def main(): cnt = 0 for i in range(1000000): if is_prime[i]: cnt += 1 n_prime[i] = cnt while 1: try: n = int(input()) print(n_prime[n]) except: break 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>
s740226107
p00009
Accepted
l = [1 for i in range(10 ** 6 + 1)] l[0] = l[1] = 0 for i in range(10 ** 6 + 1): if l[i] == 1: for j in range(i * 2, 10 ** 6 + 1, i): l[j] = 0 while 0 == 0: try: n = int(input()) c = 0 for i in range(n + 1): c += l[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>
s727373926
p00009
Accepted
import bisect def make_prime_numbers(n): """n以下の素数を列挙したリストを出力する 計算量: O(NloglogN) 入出力例: 30 -> [2, 3, 5, 7, 11, 13, 17, 19, 23, 29] """ 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(2 * i, n + 1, i): is_prime[j] = False prime_numbers = [i for i in range(n + 1) if is_prime[i]] return prime_numbers prime_numbers = make_prime_numbers(10 ** 6) while True: try: n = int(input()) except: break print(bisect.bisect_right(prime_numbers, 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>
s402933597
p00009
Accepted
# nまでの自然数が素数かどうかを表すリストを返す # Sieve of Eratosthenes def makePrimeChecker(n): isPrime = [True] * (n + 1) isPrime[0] = False isPrime[1] = False for i in range(2, int(n ** 0.5) + 1): if isPrime[i]: for j in range(i * i, n + 1, i): isPrime[j] = False return isPrime ls = makePrimeChecker(10**6) ls_ans = [] while True: try: n = int(input()) ls_ans.append(sum(ls[:n+1])) except: break for i in range(len(ls_ans)): print(ls_ans[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>
s243132658
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 is_prime[i] == False: 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]] 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>
s004537872
p00009
Accepted
while True: try: a = int(input()) primes = [1] * (a+1) for i in range(2, int(a**0.5)+1): if primes[i]==1: for j in range(i*i, a+1, i): primes[j] = 0 print(sum(primes)-2) 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>
s933236217
p00009
Accepted
import math isPrime = [True] * 1000000 primes = [] def eratos(n): isPrime[0] = isPrime[1] = False for i in range(2,int(math.sqrt(n))): if isPrime[i]: j = 2 * i while j <= n: isPrime[j] = False j = j + i eratos(999999) while True: try: num = int(input()) ans = 0 for i in range(0,num + 1): if isPrime[i]: ans += 1 print(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>
s993257704
p00009
Accepted
import sys inputs = sys.stdin.readlines() A = [int(i.rstrip('\n')) for i in inputs] B = sorted(A) m = B[-1] P = [2, 3, 5, 7] for i in range(11, m + 1, 2): if i % 5 == 0 or i % 7 == 0: continue is_prime = True for p in P: if p * p > i: break if i % p == 0: is_prime = False break if is_prime: P.append(i) P.append(1000000) l = len(P) for a in A: for i in range(l): if P[i] > a: print(i) 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>
s295445751
p00009
Accepted
# 準備 num_list = [0] * 1000000 i = 2 cnt = 0 for num in range(2,len(num_list)): if num_list[i] == -1: num_list[i] = num_list[i-1] i += 1 continue cnt+=1 num_list[i] = cnt # num_list[i*2::i] = -1 for j in range(i*2,len(num_list),i): num_list[j] = -1 i += 1 while True: try: n = int(input()) except Exception as e: break print(int(num_list[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>
s296689478
p00009
Accepted
# returns the number of prime numbers less than or equal to n def sieve(n): prime = [True] * (n+1) prime[0] = prime[1] = False count = 0 for i in range(2, n+1): if prime[i]: count += 1 for j in range(2*i, n+1, i): prime[j] = False return count while True: try: n = int(input()) print(sieve(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>
s110945260
p00009
Accepted
import sys array = [] for line in sys.stdin: array.append(int(line)) max_val = max(array) prime_list = [1] * max_val prime_list[0] = 0 prime_list[1] = 0 i = 2 while i < max_val: for j in range(i * 2, max_val, i): prime_list[j] = 0 i = i + 1 while i < max_val and prime_list[i] == 0: i = i + 1 for val in array: count = sum(prime_list[:val + 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>
s632555096
p00009
Accepted
import sys, re from collections import deque, defaultdict, Counter from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians from itertools import permutations, combinations, product from operator import itemgetter, mul from copy import deepcopy from string import ascii_lowercase, ascii_uppercase, digits from fractions import gcd from bisect import bisect_left from heapq import heappush, heappop def input(): return sys.stdin.readline().strip() def INT(): return int(input()) def MAP(): return map(int, input().split()) def LIST(): return list(map(int, input().split())) sys.setrecursionlimit(10 ** 9) INF = float('inf') mod = 10 ** 9 + 7 def primes_for(n): is_prime = [True] * (n + 1) is_prime[0] = False is_prime[1] = False for i in range(2, n + 1): 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]] prime_list = primes_for(10**6) is_prime = [0]*10**6 for n in prime_list: is_prime[n] = 1 cnt = [0] * 10**6 for i in range(2, 10**6): if is_prime[i]: cnt[i] = cnt[i-1] + 1 else: cnt[i] = cnt[i-1] while 1: try: n = INT() print(cnt[n]) except: sys.exit()
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>
s147411108
p00009
Accepted
import sys,math def prime(n): a = [0] * (n+1) for i in range(2, n+1): isPrime = a[i] == 0 a[i] = a[i-1] + isPrime * 1 if isPrime: r = slice(i*2, n+1, i) a[r] =[1 for x in a[r]] return a prime = prime(999999) for i in sys.stdin: print(prime[int(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>
s103132634
p00009
Accepted
import sys def prime(n): a = [0] * (n + 1) a[0] = 1 a[1] = 1 i = 2 while n // i >= i: if a[i] != 0: i += 1 continue j = 2 * i while j <= n: a[j] = 1 j += i i += 1 return [i for i, ai in enumerate(a) if ai == 0] for i in sys.stdin: print(len(prime(int(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>
s442515821
p00009
Accepted
# -*- coding: utf-8 -*- import sys from itertools import accumulate def input(): return sys.stdin.readline().strip() def list2d(a, b, c): return [[c] * b for i in range(a)] def list3d(a, b, c, d): return [[[d] * c for j in range(b)] for i in range(a)] def list4d(a, b, c, d, e): return [[[[e] * d for j in range(c)] for j in range(b)] for i in range(a)] def ceil(x, y=1): return int(-(-x // y)) def INT(): return int(input()) def MAP(): return map(int, input().split()) def LIST(N=None): return list(MAP()) if N is None else [INT() for i in range(N)] def Yes(): print('Yes') def No(): print('No') def YES(): print('YES') def NO(): print('NO') sys.setrecursionlimit(10 ** 9) INF = float('inf') MOD = 10 ** 9 + 7 def eratosthenes_sieve(n): """ 素数列挙(エラトステネスの篩) """ table = [0] * (n + 1) prime_list = [] for i in range(2, n + 1): if table[i] == 0: prime_list.append(i) for j in range(i + i, n + 1, i): table[j] = 1 return prime_list N = 1000000 primes = eratosthenes_sieve(N) A = [0] * 1000000 for p in primes: A[p] = 1 acc = list(accumulate(A)) while True: try: a = INT() print(acc[a]) except: # 入力が取れなかったら終了 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>
s793401512
p00009
Accepted
import bisect num = 1000000 L = [True] * (num+1) L[0] = False L[1] = False for i in range( 2, int(num**0.5)+ 2 ): if not L[i]: continue for j in range(i*2, num+1, i): L[j] = False p = [ x for x in range(num+1) if L[x] ] while True: try: n = int(input()) k = bisect.bisect_left(p,n+1) print(k) 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>