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Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to step 1. Determine the number of subtrations ...
instruction
0
58,030
22
116,060
Tags: implementation, math, number theory Correct Solution: ``` import math n = int(input()) count = 0 while True: if n == 0: break if n % 2 == 0: count += (n // 2) break i = 2 d = n while i < int(math.sqrt(n)) + 1: if n % i == 0: d = i break i += 1 n -= d count += 1 p...
output
1
58,030
22
116,061
Provide tags and a correct Python 3 solution for this coding contest problem. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to step 1. Determine the number of subtrations ...
instruction
0
58,031
22
116,062
Tags: implementation, math, number theory Correct Solution: ``` import math n=int(input()) if n%2==0: print(n//2) else: i=3 f=0 c=0 while(i<=int(math.ceil(math.sqrt(n)))): if n%i==0: c+=1 n=n-i if n%2==0: f=1 print(c+n//2) ...
output
1
58,031
22
116,063
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,032
22
116,064
Yes
output
1
58,032
22
116,065
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,033
22
116,066
Yes
output
1
58,033
22
116,067
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,034
22
116,068
Yes
output
1
58,034
22
116,069
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,035
22
116,070
Yes
output
1
58,035
22
116,071
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,036
22
116,072
No
output
1
58,036
22
116,073
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,037
22
116,074
No
output
1
58,037
22
116,075
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,038
22
116,076
No
output
1
58,038
22
116,077
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an integer number n. The following algorithm is applied to it: 1. if n = 0, then end algorithm; 2. find the smallest prime divisor d of n; 3. subtract d from n and go to s...
instruction
0
58,039
22
116,078
No
output
1
58,039
22
116,079
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,011
22
118,022
Tags: implementation Correct Solution: ``` for k in range(int(input())): a,b=map(int,input().split()) count=0 if(a<b): while(8*a<=b): a=a*8 count+=1 while(4*a<=b): a=a*4 count+=1 while(2*a<=b): a=a*2 count+=1 if(a==b): print(count) else: print(-1) else: while(a>=b*8 and a%8==0): ...
output
1
59,011
22
118,023
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,012
22
118,024
Tags: implementation Correct Solution: ``` import os import heapq import sys import math import operator from collections import defaultdict from io import BytesIO, IOBase # def gcd(a,b): # if b==0: # return a # else: # return gcd(b,a%b) def inar(): return [int(k) for k in input().split()] ...
output
1
59,012
22
118,025
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,013
22
118,026
Tags: implementation Correct Solution: ``` z=int(input()) for q in range(z): a,b=map(int,input().split()) j = a a = max(a, b) b = min(j, b) if a == b: print(0) elif a % b != 0: print(-1) else: x = a // b cnt = 0 flag = 0 while True: ...
output
1
59,013
22
118,027
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,014
22
118,028
Tags: implementation Correct Solution: ``` t = int(input()) for _ in range(t): a, b = map(int, input().split()) if(b>a): if(b%a!=0): print("-1") else: x = bin(b//a)[2::].count("1") if(x!=1): print("-1") else: y = bin...
output
1
59,014
22
118,029
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,015
22
118,030
Tags: implementation Correct Solution: ``` import math t=int(input()) for i in range(t): a,b=map(int,input().split()) if a==b: print(0) elif a>b: if a%b==0: c=a//b v=1 d=0 for j in range(1,61): v*=2 if c==v: if j%3==0: b=0 else: b=1 print(b+j//3) d=1 break...
output
1
59,015
22
118,031
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,016
22
118,032
Tags: implementation Correct Solution: ``` def foo(a,b): ans = 0 while b!=a: if b%8==0 and b//8>=a: b//=8 ans += 1 continue if b%4==0 and b//4>=a: b//=4 ans += 1 continue if b%2==0 and b//2>=a: b//=2 ...
output
1
59,016
22
118,033
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,017
22
118,034
Tags: implementation Correct Solution: ``` import os import sys from io import BytesIO, IOBase # region fastio BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in fi...
output
1
59,017
22
118,035
Provide tags and a correct Python 3 solution for this coding contest problem. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or right by at most three positions. The right shift ...
instruction
0
59,018
22
118,036
Tags: implementation Correct Solution: ``` t=int(input()) for i in range(t): a,b=list(map(int,input().split())) if a==b: print(0) else: if a>b: a,b=b,a s1=bin(b) s2=bin(a) try: if not s1.index(s2)==0: print(-1) continue except ValueE...
output
1
59,018
22
118,037
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,019
22
118,038
Yes
output
1
59,019
22
118,039
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,020
22
118,040
Yes
output
1
59,020
22
118,041
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,021
22
118,042
Yes
output
1
59,021
22
118,043
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,022
22
118,044
Yes
output
1
59,022
22
118,045
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,023
22
118,046
No
output
1
59,023
22
118,047
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,024
22
118,048
No
output
1
59,024
22
118,049
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,025
22
118,050
No
output
1
59,025
22
118,051
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Johnny has recently found an ancient, broken computer. The machine has only one register, which allows one to put in there one variable. Then in one operation, you can shift its bits left or rig...
instruction
0
59,026
22
118,052
No
output
1
59,026
22
118,053
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,065
22
118,130
Tags: brute force, math Correct Solution: ``` import math for _ in range(int(input())): n=input() while math.gcd(int(n),sum([int(i) for i in n]))==1: n=str(int(n)+1) print(n) ```
output
1
59,065
22
118,131
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,066
22
118,132
Tags: brute force, math Correct Solution: ``` def res(n2, n3): MAX = 0 for i in range(n3, 0, -1): if n3%i==0 and n2%i==0: return i for _ in range(int(input())): n = int(input()) n1 = sum([int(i)for i in str(n)]) while res(n, n1) == 1: n += 1 n1 = sum([int(i)for i ...
output
1
59,066
22
118,133
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,067
22
118,134
Tags: brute force, math Correct Solution: ``` # cook your dish here import math t = int(input()) for i in range(t): n = int(input()) while(1): v = n v1 = v sumofv = 0 while(v>0): k = v%10 v = v//10 sumofv+=k n+=1 if(math.gcd(v1,...
output
1
59,067
22
118,135
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,068
22
118,136
Tags: brute force, math Correct Solution: ``` # Author : raj1307 - Raj Singh # Date : 29.03.2021 from __future__ import division, print_function import os,sys from io import BytesIO, IOBase if sys.version_info[0] < 3: from __builtin__ import xrange as range from future_builtins import ascii, filter, hex, ...
output
1
59,068
22
118,137
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,069
22
118,138
Tags: brute force, math Correct Solution: ``` # Har har mahadev # author : @ harsh kanani import math import os import sys from collections import Counter from io import BytesIO, IOBase BUFSIZE = 8192 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self...
output
1
59,069
22
118,139
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,070
22
118,140
Tags: brute force, math Correct Solution: ``` from math import gcd def check(num): sm = sum(list(map(int,str(num)))) if gcd(num,sm) > 1: return True return False for t in range(int(input())): num = int(input()) for i in range(num,num*10): if check(i): print(i) ...
output
1
59,070
22
118,141
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,071
22
118,142
Tags: brute force, math Correct Solution: ``` def computeGCD(x, y): while(y): x, y = y, x % y return x T=int(input()) for i in range(T): x=input() flag=True while(flag!=False): if computeGCD(int(x),sum([int(i) for i in x]))>1: print(x) flag=False else: ...
output
1
59,071
22
118,143
Provide tags and a correct Python 3 solution for this coding contest problem. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes the greatest common divisor of a and b β€” the lar...
instruction
0
59,072
22
118,144
Tags: brute force, math Correct Solution: ``` import math def sumofdigits(n): a = 0 while n: a += n % 10 n //= 10 return a for _ in range(int(input())): n = int(input()) f = n while True: if math.gcd(f, sumofdigits(f)) > 1: break f += 1 print(f...
output
1
59,072
22
118,145
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,073
22
118,146
Yes
output
1
59,073
22
118,147
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,074
22
118,148
Yes
output
1
59,074
22
118,149
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,075
22
118,150
Yes
output
1
59,075
22
118,151
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,076
22
118,152
Yes
output
1
59,076
22
118,153
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,077
22
118,154
No
output
1
59,077
22
118,155
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,078
22
118,156
No
output
1
59,078
22
118,157
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,079
22
118,158
No
output
1
59,079
22
118,159
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The \text{gcdSum} of a positive integer is the gcd of that integer with its sum of digits. Formally, \text{gcdSum}(x) = gcd(x, sum of digits of x) for a positive integer x. gcd(a, b) denotes t...
instruction
0
59,080
22
118,160
No
output
1
59,080
22
118,161
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
instruction
0
59,181
22
118,362
Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os from io import BytesIO, IOBase import sys from collections import defaultdict, deque, Counter from math import sqrt, pi, ceil, log, in...
output
1
59,181
22
118,363
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
instruction
0
59,182
22
118,364
Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os from io import BytesIO, IOBase import sys from collections import defaultdict, deque, Counter from math import sqrt, pi, ceil, log, in...
output
1
59,182
22
118,365
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
instruction
0
59,183
22
118,366
Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os from io import BytesIO, IOBase import sys from collections import defaultdict, deque, Counter from math import sqrt, pi, ceil, log, in...
output
1
59,183
22
118,367
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
instruction
0
59,184
22
118,368
Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` import math, sys input = sys.stdin.buffer.readline def ints(): return map(int, input().split()) n = int(input()) x = list(ints()) MAX = max(x) + 1 freq = [0] * MAX for i in x: freq[i] += 1 sieve ...
output
1
59,184
22
118,369
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
instruction
0
59,185
22
118,370
Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` import sys import io, os input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline #arr=list(map(int, input().split())) import os, sys, atexit from io import BytesIO, StringIO _OUTPUT_BUFFER = StringIO() s...
output
1
59,185
22
118,371
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
instruction
0
59,186
22
118,372
Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os from io import BytesIO, IOBase import sys from collections import defaultdict, deque, Counter from math import sqrt, pi, ceil, log, in...
output
1
59,186
22
118,373
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
instruction
0
59,187
22
118,374
Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` # Legends Always Come Up with Solution # Author: Manvir Singh import os from io import BytesIO, IOBase import sys from collections import defaultdict, deque, Counter from math import sqrt, pi, ceil, log, in...
output
1
59,187
22
118,375
Provide tags and a correct Python 3 solution for this coding contest problem. Recently, the bear started studying data structures and faced the following problem. You are given a sequence of integers x1, x2, ..., xn of length n and m queries, each of them is characterized by two integers li, ri. Let's introduce f(p) ...
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Tags: binary search, brute force, data structures, dp, implementation, math, number theory Correct Solution: ``` import sys input = sys.stdin.buffer.readline n = int(input()) x = list(map(int, input().split())) mx = max(x) hf = [i for i in range(mx + 1)] p = 2 while p * p <= mx: if hf[p] == p: for m in ran...
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