message stringlengths 2 57.2k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 61 108k | cluster float64 22 22 | __index_level_0__ int64 122 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integer numbers x and y. An array F is called an y-factorization of x iff the following conditions are met:
* There are y elements in F, and all of them are integer... | instruction | 0 | 19,074 | 22 | 38,148 |
No | output | 1 | 19,074 | 22 | 38,149 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of ... | instruction | 0 | 19,805 | 22 | 39,610 |
Tags: constructive algorithms, math
Correct Solution:
```
n=int(input())
for i in range (2,n+1):
print(i,end=' ')
print(1)
# Made By Mostafa_Khaled
``` | output | 1 | 19,805 | 22 | 39,611 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of ... | instruction | 0 | 19,806 | 22 | 39,612 |
Tags: constructive algorithms, math
Correct Solution:
```
n=int(input())
for i in range (2,n+1):
print(i,end=' ')
print(1)
``` | output | 1 | 19,806 | 22 | 39,613 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of ... | instruction | 0 | 19,807 | 22 | 39,614 |
Tags: constructive algorithms, math
Correct Solution:
```
print(*range(2, int(input())+1), end=' ')
print(1)
``` | output | 1 | 19,807 | 22 | 39,615 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of ... | instruction | 0 | 19,808 | 22 | 39,616 |
Tags: constructive algorithms, math
Correct Solution:
```
n, ans, be = int(input()), [], 1
if n & 1:
ans.append(1)
be += 1
for i in range(be, n + 1, 2):
ans.extend([i + 1, i])
print(*ans)
``` | output | 1 | 19,808 | 22 | 39,617 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of ... | instruction | 0 | 19,809 | 22 | 39,618 |
Tags: constructive algorithms, math
Correct Solution:
```
n = int(input())
a = [i+2-i%2*2 for i in range(2*(n//2))]
if n % 2 == 1:
a = [1] + list(map(lambda x: x+1, a))
print(" ".join(map(str, a)))
``` | output | 1 | 19,809 | 22 | 39,619 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of ... | instruction | 0 | 19,811 | 22 | 39,622 |
Tags: constructive algorithms, math
Correct Solution:
```
#!/usr/bin/env python3
# Consecutive numbers have gcd 1
n = int(input())
answer = [n] + list(range(1,n))
print(" ".join(["%d" % d for d in answer]))
``` | output | 1 | 19,811 | 22 | 39,623 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya bought the collected works of a well-known Berland poet Petya in n volumes. The volumes are numbered from 1 to n. He thinks that it does not do to arrange the book simply according to their order. Vasya wants to minimize the number of ... | instruction | 0 | 19,812 | 22 | 39,624 |
Tags: constructive algorithms, math
Correct Solution:
```
print(" ".join([str(x) for x in range(2,int(input())+1)]+["1"]))
``` | output | 1 | 19,812 | 22 | 39,625 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,194 | 22 | 40,388 |
"Correct Solution:
```
while True:
a, b = map(int, input().split())
if a == 0 and b == 0:
break
if a < b:
a, b = b, a
X = a
Y = b
i = 0
while True:
X %= Y
X, Y = Y, X
i += 1
if Y == 0:
break
print(X,i)... | output | 1 | 20,194 | 22 | 40,389 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,195 | 22 | 40,390 |
"Correct Solution:
```
while True:
X,Y=map(int,input().split())
if X==0 and Y==0:
break
n=0
while True:
if Y==0:
break
elif X<=Y:
X,Y=Y,X
X%=Y
X,Y=Y,X
n+=1
print(X,n)
``` | output | 1 | 20,195 | 22 | 40,391 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,196 | 22 | 40,392 |
"Correct Solution:
```
while True:
x, y = [int(x) for x in input().split()]
if x == 0 and y == 0:
break
c = 0
if y > x:
x,y = y, x
while True:
c += 1
x = x % y
x,y = y,x
if y == 0:
break
print(x,c)
``` | output | 1 | 20,196 | 22 | 40,393 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,197 | 22 | 40,394 |
"Correct Solution:
```
while True:
n,m = map(int,input().split())
if n==0 and m==0:
break
step = 0
if n >= m:
X = n
Y = m
while True:
X = X % Y
X,Y = Y,X
step +=1
if Y == 0:
ans = X
break
... | output | 1 | 20,197 | 22 | 40,395 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,198 | 22 | 40,396 |
"Correct Solution:
```
while True:
a,b = [int(i) for i in input().split()]
if a == 0 and b == 0:
break
if a < b:
a,b = b,a
cnt = 0
while b > 0:
a, b = b, a % b
cnt += 1
print(a, cnt)
``` | output | 1 | 20,198 | 22 | 40,397 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,199 | 22 | 40,398 |
"Correct Solution:
```
while True:
a,b=map(int,input().split())
if a==0 and b==0:
break
c=0
if a<b:
a,b=b,a
while b!=0:
c+=1
d=a%b
a=b
b=d
print(a,c)
``` | output | 1 | 20,199 | 22 | 40,399 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,200 | 22 | 40,400 |
"Correct Solution:
```
def gozyo(x,y):
w = 0
while True:
if y == 0:
return x,w
x = x % y
z = x
x = y
y = z
w += 1
while True:
a,b = map(int,input().split())
if a == 0 and b == 0:
break
if a < b:
c = a
a = b
... | output | 1 | 20,200 | 22 | 40,401 |
Provide a correct Python 3 solution for this coding contest problem.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. One of the algorithms to find the greatest common divisor ... | instruction | 0 | 20,201 | 22 | 40,402 |
"Correct Solution:
```
while True:
x,y = map(int, input().split())
if x==0 and y==0:
break
elif x<y:
X=y
Y=x
else:
X=x
Y=y
i = 0
while True:
a = X%Y
X = a
Z = Y
Y = X
X = Z
i += 1
if a==0:
break
print(X, i)
``` | output | 1 | 20,201 | 22 | 40,403 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. On... | instruction | 0 | 20,202 | 22 | 40,404 |
Yes | output | 1 | 20,202 | 22 | 40,405 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. On... | instruction | 0 | 20,203 | 22 | 40,406 |
Yes | output | 1 | 20,203 | 22 | 40,407 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. On... | instruction | 0 | 20,204 | 22 | 40,408 |
Yes | output | 1 | 20,204 | 22 | 40,409 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. On... | instruction | 0 | 20,205 | 22 | 40,410 |
Yes | output | 1 | 20,205 | 22 | 40,411 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. On... | instruction | 0 | 20,206 | 22 | 40,412 |
No | output | 1 | 20,206 | 22 | 40,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The greatest common divisor is an indispensable element in mathematics handled on a computer. Using the greatest common divisor can make a big difference in the efficiency of the calculation. On... | instruction | 0 | 20,207 | 22 | 40,414 |
No | output | 1 | 20,207 | 22 | 40,415 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,564 | 22 | 41,128 |
Tags: number theory
Correct Solution:
```
n = int(input())
if n == 1:
print(1)
elif n == 2:
print(2)
elif n == 3:
print(6)
elif n%2 == 1:
print(n*(n-1)*(n-2))
else:
if n%3 == 0:
print((n-1)*(n-2)*(n-3))
else:
print(n*(n-1)*(n-3))
``` | output | 1 | 20,564 | 22 | 41,129 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,565 | 22 | 41,130 |
Tags: number theory
Correct Solution:
```
n=int(input())
if n>2:
if n%2:
print((n)*(n-1)*(n-2))
elif n%3:
print((n)*(n-1)*(n-3))
else:
print((n-1)*(n-2)*(n-3))
else:
print(n)
``` | output | 1 | 20,565 | 22 | 41,131 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,566 | 22 | 41,132 |
Tags: number theory
Correct Solution:
```
n=int(input())
if(n<3):
print(n)
else:
if(n%2==0):
if(n%3==0):
print((n-1)*(n-3)*(n-2))
else:
print(n*(n-1)*(n-3))
else:
print(n*(n-1)*(n-2))
``` | output | 1 | 20,566 | 22 | 41,133 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,567 | 22 | 41,134 |
Tags: number theory
Correct Solution:
```
def gcd(x,y):
while y!=0: x,y=y,x%y
return x
def lcm(x,y):
_lcm=(x*y/gcd(x,y))
if int(_lcm)==_lcm: return int(_lcm)
else: return 0
def BiggestLCM(n):
_b=False
k=n-1
LCM=n*k
U=LCM
i=n-2
while gcd(LCM,i)!=1 and i>0:
if lcm(LCM,i)>U: U=lcm(LCM,i)
i-=1
a=1
if i>0:... | output | 1 | 20,567 | 22 | 41,135 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,568 | 22 | 41,136 |
Tags: number theory
Correct Solution:
```
n=int(input())
if n<=2:
print(n)
elif n%6==0:
print((n-1)*(n-2)*(n-3))
elif n%2==0:
print((n)*(n-1)*(n-3))
else:
print((n)*(n-1)*(n-2))
``` | output | 1 | 20,568 | 22 | 41,137 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,569 | 22 | 41,138 |
Tags: number theory
Correct Solution:
```
n = int(input())
if(n==1):
print(1)
elif(n==2):
print(2)
else:
if(n%2!=0):
print(n*(n-1)*(n-2))
elif(n%6==0):
print((n-1)*(n-2)*(n-3))
else:
print((n)*(n-1)*(n-3))
``` | output | 1 | 20,569 | 22 | 41,139 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,570 | 22 | 41,140 |
Tags: number theory
Correct Solution:
```
"""
pppppppppppppppppppp
ppppp ppppppppppppppppppp
ppppppp ppppppppppppppppppppp
pppppppp pppppppppppppppppppppp
pppppppppppppppppppppppppppppppp
... | output | 1 | 20,570 | 22 | 41,141 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don'... | instruction | 0 | 20,571 | 22 | 41,142 |
Tags: number theory
Correct Solution:
```
from math import *
n, ans = int(input()), 0
if n < 3:
ans = n
elif n % 2:
ans = n * (n - 1) * (n - 2)
else:
a = 0
if gcd(n, n - 3) == 1:
a = n * (n - 1) * (n - 3)
n -= 1
ans = max(n * (n - 1) * (n - 2), a)
print(ans)
``` | output | 1 | 20,571 | 22 | 41,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,572 | 22 | 41,144 |
Yes | output | 1 | 20,572 | 22 | 41,145 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,573 | 22 | 41,146 |
Yes | output | 1 | 20,573 | 22 | 41,147 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,574 | 22 | 41,148 |
Yes | output | 1 | 20,574 | 22 | 41,149 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,575 | 22 | 41,150 |
Yes | output | 1 | 20,575 | 22 | 41,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,576 | 22 | 41,152 |
No | output | 1 | 20,576 | 22 | 41,153 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,577 | 22 | 41,154 |
No | output | 1 | 20,577 | 22 | 41,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,578 | 22 | 41,156 |
No | output | 1 | 20,578 | 22 | 41,157 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so... | instruction | 0 | 20,579 | 22 | 41,158 |
No | output | 1 | 20,579 | 22 | 41,159 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,812 | 22 | 41,624 |
Tags: math, number theory
Correct Solution:
```
mod=1e9+7
def primeFactors(n):
factores=[]
if n%2==0:
exp=0
while n%2 ==0:
exp+=1
n//=2
factores.append((2,exp))
i=3
while(i*i<=n):
if(n%i==0):
exp=0
while n%i ==0:
... | output | 1 | 20,812 | 22 | 41,625 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,813 | 22 | 41,626 |
Tags: math, number theory
Correct Solution:
```
phi = [0 for i in range(100100)]
phi[1] = 1
for i in range(2, 100050):
if (phi[i] == 0):
for j in range(i, 100051, i):
if (phi[j] == 0):
phi[j]=j
phi[j] = phi[j]//i*(i-1)
def Fenjie(n):
k = {}
if (n == 1):
... | output | 1 | 20,813 | 22 | 41,627 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,814 | 22 | 41,628 |
Tags: math, number theory
Correct Solution:
```
import math
def phi(n):
res = n
for i in range(2, int(math.sqrt(n)) + 1):
if(n % i == 0):
while(n % i == 0):
n /= i
res -= res/i
if(n > 1):
res -= int(res / n)
return res
n, k = map(int, input().split... | output | 1 | 20,814 | 22 | 41,629 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,815 | 22 | 41,630 |
Tags: math, number theory
Correct Solution:
```
import math
def phi(n):
res = n
for i in range(2, int(math.sqrt(n)) + 1):
if(n % i == 0):
while n % i == 0:
n /= i
res -= res/i
if(n>1):
res -= int(res/n)
return int(res)
def F(n, k):
k = int((k ... | output | 1 | 20,815 | 22 | 41,631 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,816 | 22 | 41,632 |
Tags: math, number theory
Correct Solution:
```
MOD = 1000000007
def phi(n):
res = n
for i in range(2,int(n**(0.5)+1)):
if n % i == 0:
while n % i == 0:
n = n//i
res -= res//i
if n > 1:
res -= res//n
return res
n,k = map(int,input().split())
k = (... | output | 1 | 20,816 | 22 | 41,633 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,817 | 22 | 41,634 |
Tags: math, number theory
Correct Solution:
```
import math
def f_k_n(n,k):
k = int((k+1)/2)
while n>1 and k:
n = phi_improved(n)
k -= 1
return n
def phi(n):
p = 1
for i in range(2,n):
if gcd(i,n) == 1:
p += 1
return p
def phi_improved(n):
prime_fact = find_p... | output | 1 | 20,817 | 22 | 41,635 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,818 | 22 | 41,636 |
Tags: math, number theory
Correct Solution:
```
mod=1e9+7 # la respuesta te piden que se de modulo este numero
def primeFactors(n): #Algoritmo para la descomposicion de n en factores primos
factores=[]
if n%2==0: # todo numero de la forma 2k tiene a 2 en su descomposicion en primos por lo que al ser bastante ... | output | 1 | 20,818 | 22 | 41,637 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy... | instruction | 0 | 20,819 | 22 | 41,638 |
Tags: math, number theory
Correct Solution:
```
import math
def f_k_n(n,k):
k = int((k+1)/2)
while n>1 and k:
n = phi_improved(n)
k -= 1
return n
def phi_improved(n):
prime_fact = find_prime_factors(n)
result = n
for p in prime_fact:
result *= 1 - (1/p)
return int(result)... | output | 1 | 20,819 | 22 | 41,639 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ord... | instruction | 0 | 20,820 | 22 | 41,640 |
Yes | output | 1 | 20,820 | 22 | 41,641 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ord... | instruction | 0 | 20,821 | 22 | 41,642 |
Yes | output | 1 | 20,821 | 22 | 41,643 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ord... | instruction | 0 | 20,822 | 22 | 41,644 |
Yes | output | 1 | 20,822 | 22 | 41,645 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ord... | instruction | 0 | 20,823 | 22 | 41,646 |
No | output | 1 | 20,823 | 22 | 41,647 |
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