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Provide a correct Python 3 solution for this coding contest problem. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\leq C,D\leq 10^9 * All values in input are integers. Inp...
instruction
0
82,397
22
164,794
"Correct Solution: ``` from fractions import gcd a,b,c,d = map(int,input().split()) k = c*d//gcd(c,d) def f(x): return x - x//c - x//d + x//k print(f(b)-f(a-1)) ```
output
1
82,397
22
164,795
Provide a correct Python 3 solution for this coding contest problem. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\leq C,D\leq 10^9 * All values in input are integers. Inp...
instruction
0
82,398
22
164,796
"Correct Solution: ``` A,B,C,D = map(int, input().split()) from fractions import gcd cd = C*D//gcd(D,C) f = lambda x: B//x - ((A-1)//x) print(B - A + 1 - (f(C) + f(D) - f(cd))) ```
output
1
82,398
22
164,797
Provide a correct Python 3 solution for this coding contest problem. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\leq C,D\leq 10^9 * All values in input are integers. Inp...
instruction
0
82,399
22
164,798
"Correct Solution: ``` a,b,c,d=map(int,input().split()) a-=1 from fractions import* bb=b-b//c-b//d+b//(c*d//gcd(c,d)) aa=a-a//c-a//d+a//(c*d//gcd(c,d)) print(bb-aa) ```
output
1
82,399
22
164,799
Provide a correct Python 3 solution for this coding contest problem. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\leq C,D\leq 10^9 * All values in input are integers. Inp...
instruction
0
82,400
22
164,800
"Correct Solution: ``` import fractions A, B, C, D = map(int, input().split()) E = C*D//fractions.gcd(C, D) X = B//C - (A-1)//C Y = B//D - (A-1)//D Z = B//E - (A-1)//E print(B-A+1-X-Y+Z) ```
output
1
82,400
22
164,801
Provide a correct Python 3 solution for this coding contest problem. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\leq C,D\leq 10^9 * All values in input are integers. Inp...
instruction
0
82,401
22
164,802
"Correct Solution: ``` import math a,b,c,d=map(int,input().split()) mc = b//c-(a-1)//c md = b//d-(a-1)//d cd = (c*d)//math.gcd(c,d) mcd = b//cd - (a-1)//cd print(b-a+1 - mc-md+mcd) ```
output
1
82,401
22
164,803
Provide a correct Python 3 solution for this coding contest problem. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\leq C,D\leq 10^9 * All values in input are integers. Inp...
instruction
0
82,402
22
164,804
"Correct Solution: ``` import fractions as f a,b,c,d=map(int,input().split()) a-=1 print(b-a-b//c+a//c-b//d+a//d+b//c*f.gcd(c,d)//d-a//c*f.gcd(c,d)//d) ```
output
1
82,402
22
164,805
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\l...
instruction
0
82,403
22
164,806
Yes
output
1
82,403
22
164,807
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\l...
instruction
0
82,404
22
164,808
Yes
output
1
82,404
22
164,809
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\l...
instruction
0
82,405
22
164,810
Yes
output
1
82,405
22
164,811
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\l...
instruction
0
82,406
22
164,812
Yes
output
1
82,406
22
164,813
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given four integers A, B, C, and D. Find the number of integers between A and B (inclusive) that can be evenly divided by neither C nor D. Constraints * 1\leq A\leq B\leq 10^{18} * 1\l...
instruction
0
82,408
22
164,816
No
output
1
82,408
22
164,817
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,427
22
164,854
"Correct Solution: ``` n = int(input()) match = [105, 135, 165, 189, 195] ans = 0 for i in match: if n >= i: ans += 1 print(ans) ```
output
1
82,427
22
164,855
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,428
22
164,856
"Correct Solution: ``` n=int(input()) a=[135,189,105,165,195] ans=0 for i in a: if i<=n: ans+=1 print(ans) ```
output
1
82,428
22
164,857
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,429
22
164,858
"Correct Solution: ``` s=[105, 135, 165, 189, 195] ans=0;n=int(input()) for f in s: if n>=f:ans+=1 print(ans) ```
output
1
82,429
22
164,859
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,430
22
164,860
"Correct Solution: ``` print([[i%j for j in range(1,i)].count(0) for i in range(1,int(input())+1,2)].count(7)) ```
output
1
82,430
22
164,861
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,431
22
164,862
"Correct Solution: ``` n=int(input()) ans=0 for i in range(1,n+1,2): s=[i%j for j in range(1,i+1)] if s.count(0)==8: ans+=1 print(ans) ```
output
1
82,431
22
164,863
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,432
22
164,864
"Correct Solution: ``` N=int(input()) ans = 0 for i in range(1,N+1,2): tmp = 0 for j in range(1,i+1): if i%j == 0: tmp += 1 if tmp == 8: ans +=1 print(ans) ```
output
1
82,432
22
164,865
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,433
22
164,866
"Correct Solution: ``` d=[105,3*5*9,3*5*11,3*5*5*5,27*7,15*13] n=int(input()) ans=0 for i in range(len(d)): if d[i]<=n: ans+=1 print(ans) ```
output
1
82,433
22
164,867
Provide a correct Python 3 solution for this coding contest problem. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusive)? Constraints * N is an integer between 1 and 200 (i...
instruction
0
82,434
22
164,868
"Correct Solution: ``` n=int(input()) c=0 for i in range(1,n+1,2): count=0 for j in range(1,i+1): if i%j==0: count+=1 if count==8: c+=1 print(c) ```
output
1
82,434
22
164,869
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,435
22
164,870
Yes
output
1
82,435
22
164,871
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,436
22
164,872
Yes
output
1
82,436
22
164,873
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,437
22
164,874
Yes
output
1
82,437
22
164,875
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,438
22
164,876
Yes
output
1
82,438
22
164,877
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,439
22
164,878
No
output
1
82,439
22
164,879
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,440
22
164,880
No
output
1
82,440
22
164,881
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,441
22
164,882
No
output
1
82,441
22
164,883
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The number 105 is quite special - it is odd but still it has eight divisors. Now, your task is this: how many odd numbers with exactly eight positive divisors are there between 1 and N (inclusiv...
instruction
0
82,442
22
164,884
No
output
1
82,442
22
164,885
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,496
22
164,992
"Correct Solution: ``` # -*- coding: utf-8 -*- """ """ import sys from sys import stdin from bisect import bisect_right input = stdin.readline def create_prime_list(limit): """ ??Β¨??????????????????????????Β§limit?????Β§????Β΄???Β°?????????????Β±??????? https://ja.wikipedia.org/wiki/%E3%82%A8%E3%83%A9%E3%83%88%E3%...
output
1
82,496
22
164,993
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,497
22
164,994
"Correct Solution: ``` primes = [0, 0] + [1]*9999 for i in range(2, 100): for j in range(i*i, 10001, i): primes[j] = 0 while True: n = int(input()) if n == 0: break for i in range(2, n+1)[::-1]: if primes[i-2] and primes[i]: print(i-2, i) break ```
output
1
82,497
22
164,995
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,498
22
164,996
"Correct Solution: ``` # -*- coding: utf-8 -*- """ """ import sys from sys import stdin from bisect import bisect_right input = stdin.readline def create_prime_list(limit): """ ??Β¨??????????????????????????Β§limit?????Β§????Β΄???Β°?????????????Β±??????? https://ja.wikipedia.org/wiki/%E3%82%A8%E3%83%A9%E3%83%88%E3%...
output
1
82,498
22
164,997
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,499
22
164,998
"Correct Solution: ``` import math isPrime = [True] * 10001 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 for i in range(2,10...
output
1
82,499
22
164,999
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,500
22
165,000
"Correct Solution: ``` def primes(n): tf = [True] * (n + 1) tf[0] = tf[1] = False for i in range(2, int(n ** (1 / 2)) + 1): if tf[i]: for j in range(i ** 2, n + 1, i): tf[j] = False return [i for i in range(n + 1) if tf[i]] def add_twin(prime_lst, twin_lst): prime_lst2 = prime_lst[1:] for...
output
1
82,500
22
165,001
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,501
22
165,002
"Correct Solution: ``` def isPrime(n): for i in range(2,int(n**.5+1)): if n%i==0: return False return True while 1: n=int(input()) if not n:break for i in range(n,1,-1): if isPrime(i) and isPrime(i-2): print(i-2,i) break ```
output
1
82,501
22
165,003
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,502
22
165,004
"Correct Solution: ``` import math MAX = 10000 def is_prime_number(num): for divisor in range(3, int(math.sqrt(num) + 1), 2): if num % divisor == 0: return False return True def create_prime_number_list(max): prime_number_list = list(range(0, max + 1)) prime_number_list[0] = F...
output
1
82,502
22
165,005
Provide a correct Python 3 solution for this coding contest problem. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are twin prime pairs. In this problem, we call the greater ...
instruction
0
82,503
22
165,006
"Correct Solution: ``` import math def prime(n): for k in range(2, int(math.sqrt(n)) + 1): if n % k == 0: return False else: return True while 1: n = int(input()) if n == 0: break if n % 2 == 0: n -= 1 for i in range(n, 3, -2): if prime(i...
output
1
82,503
22
165,007
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,504
22
165,008
Yes
output
1
82,504
22
165,009
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,505
22
165,010
Yes
output
1
82,505
22
165,011
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,506
22
165,012
Yes
output
1
82,506
22
165,013
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,507
22
165,014
Yes
output
1
82,507
22
165,015
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,508
22
165,016
No
output
1
82,508
22
165,017
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,509
22
165,018
No
output
1
82,509
22
165,019
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,510
22
165,020
No
output
1
82,510
22
165,021
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Prime numbers are widely applied for cryptographic and communication technology. A twin prime is a prime number that differs from another prime number by 2. For example, (5, 7) and (11, 13) are ...
instruction
0
82,511
22
165,022
No
output
1
82,511
22
165,023
Provide tags and a correct Python 3 solution for this coding contest problem. Try guessing the statement from this picture: <image> You are given a non-negative integer d. You have to find two non-negative real numbers a and b such that a + b = d and a β‹… b = d. Input The first line contains t (1 ≀ t ≀ 10^3) β€” the...
instruction
0
82,596
22
165,192
Tags: binary search, math Correct Solution: ``` from math import (sqrt) t = int(input()) for i in range(t): d = int(input()) delta = d*d-4*d if(delta>=0): delta = sqrt(delta) a = (d+delta)/2 b = (d-delta)/2 print("Y",a,b) else: print("N") ```
output
1
82,596
22
165,193
Provide tags and a correct Python 3 solution for this coding contest problem. Try guessing the statement from this picture: <image> You are given a non-negative integer d. You have to find two non-negative real numbers a and b such that a + b = d and a β‹… b = d. Input The first line contains t (1 ≀ t ≀ 10^3) β€” the...
instruction
0
82,597
22
165,194
Tags: binary search, math Correct Solution: ``` t = int(input()) for i in range(t): d = int(input()) D = d * d - 4 * d if d == 0: print('Y', 0.0, 0.0) elif d < 4: print('N') else: a = (d + D ** 0.5) / 2 b = (d - D ** 0.5) / 2 print('Y', a, b) ```
output
1
82,597
22
165,195
Provide tags and a correct Python 3 solution for this coding contest problem. Try guessing the statement from this picture: <image> You are given a non-negative integer d. You have to find two non-negative real numbers a and b such that a + b = d and a β‹… b = d. Input The first line contains t (1 ≀ t ≀ 10^3) β€” the...
instruction
0
82,598
22
165,196
Tags: binary search, math Correct Solution: ``` from math import sqrt as s for _ in" "*int(input()):n=int(input());print(*("Y ",(n+s(n**2-(4*n)))/2,n-(n+s(n**2-(4*n)))/2)if n**2-(4*n)>=0else"N") ```
output
1
82,598
22
165,197
Provide tags and a correct Python 3 solution for this coding contest problem. Try guessing the statement from this picture: <image> You are given a non-negative integer d. You have to find two non-negative real numbers a and b such that a + b = d and a β‹… b = d. Input The first line contains t (1 ≀ t ≀ 10^3) β€” the...
instruction
0
82,599
22
165,198
Tags: binary search, math Correct Solution: ``` def fun(): test=int(input()) for i in range(test): d=int(input()) if( 0< d< 4): print("N") else: a= (d + (d*d- 4*d)**0.5)/2 b= d-a print("Y {} {}".format(a,b)) fun() ```
output
1
82,599
22
165,199
Provide tags and a correct Python 3 solution for this coding contest problem. Try guessing the statement from this picture: <image> You are given a non-negative integer d. You have to find two non-negative real numbers a and b such that a + b = d and a β‹… b = d. Input The first line contains t (1 ≀ t ≀ 10^3) β€” the...
instruction
0
82,600
22
165,200
Tags: binary search, math Correct Solution: ``` n = int(input()) for i in range(0,n): d = int(input()) if d>0 and d<4: print('N') else: a, b = (d + (d*(d-4))**0.5)/2 , (d - (d*(d-4))**0.5)/2 print('Y',a,b) ```
output
1
82,600
22
165,201
Provide tags and a correct Python 3 solution for this coding contest problem. Try guessing the statement from this picture: <image> You are given a non-negative integer d. You have to find two non-negative real numbers a and b such that a + b = d and a β‹… b = d. Input The first line contains t (1 ≀ t ≀ 10^3) β€” the...
instruction
0
82,601
22
165,202
Tags: binary search, math Correct Solution: ``` for test in range(int(input())): d = int(input()) delta = d**2 - 4*d if delta < 0: print('N') else: x = max((-d+delta**0.5)/-2,(-d-delta**0.5)/-2) if delta == 0: x = max(abs(x),d/2) print('Y','%.9f %.9f' %(x,d-x)...
output
1
82,601
22
165,203
Provide tags and a correct Python 3 solution for this coding contest problem. Try guessing the statement from this picture: <image> You are given a non-negative integer d. You have to find two non-negative real numbers a and b such that a + b = d and a β‹… b = d. Input The first line contains t (1 ≀ t ≀ 10^3) β€” the...
instruction
0
82,602
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Tags: binary search, math Correct Solution: ``` import math t=int(input()) while(t): d=int(input()) if(d*d < 4*d): print('N') else: a=(d+math.sqrt(d*d - 4.0*d))/2.0 b=d-a print('Y',end=' ') print(a, b) t-=1 ```
output
1
82,602
22
165,205