message stringlengths 2 59.7k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 37 108k | cluster float64 20 20 | __index_level_0__ int64 74 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, written without leading zeroes (for example, the number 04 is incorrect).
In one operation you can delete any digit of the given integer so that the result remains a positive integer without leading zeros.
Determine the minimum number of operations that you need to consistently apply to the given integer n to make from it the square of some positive integer or report that it is impossible.
An integer x is the square of some positive integer if and only if x=y^2 for some positive integer y.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^{9}). The number is given without leading zeroes.
Output
If it is impossible to make the square of some positive integer from n, print -1. In the other case, print the minimal number of operations required to do it.
Examples
Input
8314
Output
2
Input
625
Output
0
Input
333
Output
-1
Note
In the first example we should delete from 8314 the digits 3 and 4. After that 8314 become equals to 81, which is the square of the integer 9.
In the second example the given 625 is the square of the integer 25, so you should not delete anything.
In the third example it is impossible to make the square from 333, so the answer is -1.
Submitted Solution:
```
def solve():
n = int(input())
squares = set()
j = 0
while j * j <= 2 * 10 ** 9:
squares.add(j * j)
j += 1
m = float('inf')
for i in range(1, 2 ** len(str(n))):
b = bin(i)[2:]
x = '0' * (len(str(n)) - len(b)) + b
z = ''.join([str(n)[i] for i in range(len(str(n))) if int(x[i])])
if int(z) in squares:
j = 0
while j < len(z) - 1:
if z[j] == '0':
j += 1
else:
break
m = min(m, x.count('0') + j)
if m == float('inf'):
return -1
else:
return m
print(solve())
``` | instruction | 0 | 66,206 | 20 | 132,412 |
No | output | 1 | 66,206 | 20 | 132,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, written without leading zeroes (for example, the number 04 is incorrect).
In one operation you can delete any digit of the given integer so that the result remains a positive integer without leading zeros.
Determine the minimum number of operations that you need to consistently apply to the given integer n to make from it the square of some positive integer or report that it is impossible.
An integer x is the square of some positive integer if and only if x=y^2 for some positive integer y.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^{9}). The number is given without leading zeroes.
Output
If it is impossible to make the square of some positive integer from n, print -1. In the other case, print the minimal number of operations required to do it.
Examples
Input
8314
Output
2
Input
625
Output
0
Input
333
Output
-1
Note
In the first example we should delete from 8314 the digits 3 and 4. After that 8314 become equals to 81, which is the square of the integer 9.
In the second example the given 625 is the square of the integer 25, so you should not delete anything.
In the third example it is impossible to make the square from 333, so the answer is -1.
Submitted Solution:
```
x=int(input())
ans=10**10
def solve(x, moves):
global ans
if len(x)==0:
return
y=int(x)
y=int(y**0.5)
if y*y==int(x):
ans=min(ans, moves)
return
for i in range(len(x)):
solve(x[:i]+x[i+1:], moves+1)
solve(str(x), 0)
if ans==10**10:
print(-1)
else:
print(ans)
``` | instruction | 0 | 66,207 | 20 | 132,414 |
No | output | 1 | 66,207 | 20 | 132,415 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, written without leading zeroes (for example, the number 04 is incorrect).
In one operation you can delete any digit of the given integer so that the result remains a positive integer without leading zeros.
Determine the minimum number of operations that you need to consistently apply to the given integer n to make from it the square of some positive integer or report that it is impossible.
An integer x is the square of some positive integer if and only if x=y^2 for some positive integer y.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^{9}). The number is given without leading zeroes.
Output
If it is impossible to make the square of some positive integer from n, print -1. In the other case, print the minimal number of operations required to do it.
Examples
Input
8314
Output
2
Input
625
Output
0
Input
333
Output
-1
Note
In the first example we should delete from 8314 the digits 3 and 4. After that 8314 become equals to 81, which is the square of the integer 9.
In the second example the given 625 is the square of the integer 25, so you should not delete anything.
In the third example it is impossible to make the square from 333, so the answer is -1.
Submitted Solution:
```
INF = float('inf')
def isSqrt(s):
if len(s) > 1 and s[0] == '0':
return False
n = int(s)
m = 0
while m * m <= n:
if m * m == n:
return True
m += 1
return False
s = list(input())
n = len(s)
ret = INF
for mask in range((1 << n) - 1):
t = s[::]
for i in range(n):
if (mask >> i) & 1 == 1:
t[i] = ''
if isSqrt(''.join(t)):
ret = min(ret, bin(mask).count('1'))
print(ret if ret != INF else -1)
``` | instruction | 0 | 66,208 | 20 | 132,416 |
No | output | 1 | 66,208 | 20 | 132,417 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, written without leading zeroes (for example, the number 04 is incorrect).
In one operation you can delete any digit of the given integer so that the result remains a positive integer without leading zeros.
Determine the minimum number of operations that you need to consistently apply to the given integer n to make from it the square of some positive integer or report that it is impossible.
An integer x is the square of some positive integer if and only if x=y^2 for some positive integer y.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^{9}). The number is given without leading zeroes.
Output
If it is impossible to make the square of some positive integer from n, print -1. In the other case, print the minimal number of operations required to do it.
Examples
Input
8314
Output
2
Input
625
Output
0
Input
333
Output
-1
Note
In the first example we should delete from 8314 the digits 3 and 4. After that 8314 become equals to 81, which is the square of the integer 9.
In the second example the given 625 is the square of the integer 25, so you should not delete anything.
In the third example it is impossible to make the square from 333, so the answer is -1.
Submitted Solution:
```
# your code goes here
n = input()
i = 1
m = -1
while i**2 <= int(n):
#print(i)
t = True
s = str(i**2)
k = n.find(s[0])
p = '1'
if k > 0:
p = n[k-1]
ind = 0
#print(k)
while k != -1 and ind + 1 < len(s) and k < len(n):
ind += 1
#print('ыыыыыы',n[k+1:])
if n[k+1:].find(s[ind]) == -1:
k = -1
else:
k += n[k+1:].find(s[ind]) + 1
#print(k)
#print(s, k)
if k == -1:
t = False
if ind == len(s) - 1 and t and p != '0':
m = i**2
#print(' ', m)
i += 1
#print(m)
if n.count(str(m)) == 0 and len(str(m)) == 1:
print(-1)
else:
print(len(n) - len(str(m)))
``` | instruction | 0 | 66,209 | 20 | 132,418 |
No | output | 1 | 66,209 | 20 | 132,419 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter. | instruction | 0 | 66,804 | 20 | 133,608 |
Tags: math, number theory
Correct Solution:
```
def crivo(numero):
numeros = [True] * (numero + 1)
raiz = int(pow(numero, 1/2))
for j in (i for i in range(2, raiz + 1) if numeros[i]):
for k in range(j * j, numero + 1, j):
numeros[k] = False
return [i for i in range(2, numero + 1) if numeros[i]]
def resolucao(numero):
numPerguntado = []
for i in crivo(numero):
numPerguntado.append(i)
atual = i*i
while atual <= numero:
numPerguntado.append(atual)
atual *= i
return numPerguntado
# --------------------> MAIN <----------------------------
numero = int(input())
sequencia = resolucao(numero)
print(len(sequencia))
print(' '.join(str(numero) for numero in sequencia))
'''
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
'''
``` | output | 1 | 66,804 | 20 | 133,609 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter. | instruction | 0 | 66,805 | 20 | 133,610 |
Tags: math, number theory
Correct Solution:
```
primes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997]
n = int(input())
x = int(n**0.5)
i = 0
a = []
for i in primes:
if i > n:
break
j = 1
while i*j <= n:
a.append(i*j)
j *= i
print(len(a))
for i in a:
print(i, end=' ')
``` | output | 1 | 66,805 | 20 | 133,611 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter. | instruction | 0 | 66,806 | 20 | 133,612 |
Tags: math, number theory
Correct Solution:
```
n = int(input())
a = list(range(n+1))
a[1] = 0
lst = []
i = 2
while i <= n:
if a[i] != 0:
lst.append(a[i])
for j in range(i, n+1, i):
a[j] = 0
i += 1
for i in range(len(lst)):
x = lst[i]
m = x
while m*x <= n:
lst.append(m*x)
m *= x
print(len(lst))
print(" ".join(map(str, lst)))
``` | output | 1 | 66,806 | 20 | 133,613 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter.
Submitted Solution:
```
n = int(input())
def sieve():
out = []
aux = (n + 1) * [True]
aux[0] = False
aux[1] = False
p = 2
while p * p <= n:
if aux[p]:
for i in range(p * p, n + 1, p):
aux[i] = False
p += 1
for p in range(n + 1):
if aux[p]:
i = p
while i <= n:
out.append(i)
i *= p
return out
out = sieve()
print(len(out))
print(' '.join([str(x) for x in out]))
``` | instruction | 0 | 66,808 | 20 | 133,616 |
Yes | output | 1 | 66,808 | 20 | 133,617 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter.
Submitted Solution:
```
import copy
n=int(input())
l=list()
a=list()
def findprime(N):
i=2
count=0
while(i*i<=N):
if i*i==N:
count=count+1
elif N%i==0:
count=count+2
i=i+1
if count==0 and N!=1:
l.append(N)
for j in range(2,n+1):
findprime(j)
a=copy.copy(l)
for i in l:
k=2
while(i**k<=n):
a.append(i**k)
k=k+1
print(len(a))
print(*a)
``` | instruction | 0 | 66,809 | 20 | 133,618 |
Yes | output | 1 | 66,809 | 20 | 133,619 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter.
Submitted Solution:
```
n = int(input())
ans = []
used = [False] * (n + 1)
for p in range(2, n + 1):
q = p
while q <= n:
if not used[q]:
used[q] = True
ans.append(q)
q *= p
for i in range(p, n + 1, p):
used[i] = True
print(len(ans), '\n', ' '.join(map(str, ans)))
``` | instruction | 0 | 66,811 | 20 | 133,622 |
Yes | output | 1 | 66,811 | 20 | 133,623 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter.
Submitted Solution:
```
# Codeforces A. Game
# Created by Abdulrahman Elsayed on 16/01/2021
def is_prime(n):
for i in range(2, n):
if ((n % i) == 0):
return 0
break
return 1
def is_square(n):
n2 = (n)**(1 / 2)
if ((int(n2 + 0.5)**2) == n):
return 1
return 0
r = int(input())
if (r == 1):
print(0)
else:
q = []
for n in range(2, r + 1):
t2 = t3 = t5 = t7 = -1
if ((is_prime(n)) or (is_square(n))):
q.append(n)
else:
t2 = n / 2
t3 = n / 3
t5 = n / 5
t7 = n / 7
if ((t2 in q) or (t3 in q) or (t5 in q) or (t7 in q)):
continue
else:
if ((n % 2) == 0):
q.append(int(t))
elif ((n % 3) == 0):
q.append(int(t))
elif ((n % 5) == 0):
q.append(int(t))
elif ((n % 7) == 0):
q.append(int(t))
print(len(q))
for i in q:
print(i, end=' ')
``` | instruction | 0 | 66,812 | 20 | 133,624 |
No | output | 1 | 66,812 | 20 | 133,625 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter.
Submitted Solution:
```
def main():
n = int(input())
dct = {}
for i in range(2, n + 1):
lst = checker(i)
for j in lst:
if j in dct:
if lst[j] > dct[j]:
dct[j] = lst[j]
else:
dct[j] = lst[j]
res = ""
for i in dct:
for j in range(dct[i]):
res+= " " + str(i ** (j + 1))
return res[1:]
def checker(n):
res = {}
while n > 1:
for i in range(2, int(n) + 1):
if n % i == 0:
if i in res:
res[i] += 1
else:
res[i] = 1
n = n / i
break
return res
print(main())
``` | instruction | 0 | 66,813 | 20 | 133,626 |
No | output | 1 | 66,813 | 20 | 133,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter.
Submitted Solution:
```
n = int(input())
k = n - n//2 +1
a = list()
v=0
i=2
while v!=k:
if k-v==1:
a.append(i)
break
a.append(i)
a.append(i+2)
i+=1
v+=2
print (len(a))
print(' '.join(map(str,a)))
``` | instruction | 0 | 66,814 | 20 | 133,628 |
No | output | 1 | 66,814 | 20 | 133,629 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vasya and Petya are playing a simple game. Vasya thought of number x between 1 and n, and Petya tries to guess the number.
Petya can ask questions like: "Is the unknown number divisible by number y?".
The game is played by the following rules: first Petya asks all the questions that interest him (also, he can ask no questions), and then Vasya responds to each question with a 'yes' or a 'no'. After receiving all the answers Petya should determine the number that Vasya thought of.
Unfortunately, Petya is not familiar with the number theory. Help him find the minimum number of questions he should ask to make a guaranteed guess of Vasya's number, and the numbers yi, he should ask the questions about.
Input
A single line contains number n (1 ≤ n ≤ 103).
Output
Print the length of the sequence of questions k (0 ≤ k ≤ n), followed by k numbers — the questions yi (1 ≤ yi ≤ n).
If there are several correct sequences of questions of the minimum length, you are allowed to print any of them.
Examples
Input
4
Output
3
2 4 3
Input
6
Output
4
2 4 3 5
Note
The sequence from the answer to the first sample test is actually correct.
If the unknown number is not divisible by one of the sequence numbers, it is equal to 1.
If the unknown number is divisible by 4, it is 4.
If the unknown number is divisible by 3, then the unknown number is 3.
Otherwise, it is equal to 2. Therefore, the sequence of questions allows you to guess the unknown number. It can be shown that there is no correct sequence of questions of length 2 or shorter.
Submitted Solution:
```
n = int(input())
if n == 4:
print(3)
print(2, 4, 5)
else:
print(4)
print(2, 4, 3, 5)
# a = list()
# ii = list()
# s = set()
# for i in range(2, n + 1):
# q = i
# while q > 1:
# if i % q == 0:
# s.add(q)
# q -= 1
# print(len(s))
# print(*s)
``` | instruction | 0 | 66,815 | 20 | 133,630 |
No | output | 1 | 66,815 | 20 | 133,631 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,140 | 20 | 134,280 |
"Correct Solution:
```
while True:
try:
nums = list(map(int, list(input())))
except:
break
while len(nums) > 1:
tmp = []
for i in range(len(nums)-1):
tmp.append(int(str(nums[i] + nums[i+1])[-1]))
nums = [] + tmp
print(nums[0])
``` | output | 1 | 67,140 | 20 | 134,281 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,141 | 20 | 134,282 |
"Correct Solution:
```
# addtion_resultに計算結果を一時保存して1ループ終了ごとにlineをaddtion_resultに置き換えて次のループに行くことでfor文で実装可能になる
while True:
try:
line = [int(x) for x in list(input())]
except EOFError:
break
addition_result =[]
while len(line) > 1:
for i in range(len(line)-1):
addition_result.append( (line[i] + line[i+1])%10 )
line = addition_result[:]
addition_result = []
print(line[0])
``` | output | 1 | 67,141 | 20 | 134,283 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,142 | 20 | 134,284 |
"Correct Solution:
```
def calc(inp):
if len(inp) == 1:
return inp
out = ""
for i in range(len(inp) - 1):
out = out + str(int(inp[i]) + int(inp[i + 1]))[-1]
return calc(out)
while True:
try:
s = input()
print(calc(s))
except:
break
``` | output | 1 | 67,142 | 20 | 134,285 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,143 | 20 | 134,286 |
"Correct Solution:
```
import sys
for e in sys.stdin:
e=list(map(int,e.strip()))
while len(e)>1:e=[(e[i]+e[i+1])%10 for i in range(len(e)-1)]
print(*e)
``` | output | 1 | 67,143 | 20 | 134,287 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,144 | 20 | 134,288 |
"Correct Solution:
```
import sys
for l in sys.stdin:print(sum(int(a)*b for a,b in zip(l,[1,9,6,4,6,6,4,6,9,1]))%10)
``` | output | 1 | 67,144 | 20 | 134,289 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,145 | 20 | 134,290 |
"Correct Solution:
```
import sys
for line in sys.stdin.readlines():
l = [int(i) for i in line.replace('\n','')]
while len(l) >1:
m = []
for i in range(len(l)-1):
m.append((l[i]+l[i+1])%10)
l = list(m)
print(l[0])
``` | output | 1 | 67,145 | 20 | 134,291 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,146 | 20 | 134,292 |
"Correct Solution:
```
def get_input():
while True:
try:
yield ''.join(input())
except EOFError:
break
N = list(get_input())
for l in range(len(N)):
S = N[l]
table = [[0 for i in range(10)] for j in range(10)]
for i in range(len(S)):
table[0][i] = int(S[i])
for i in range(1,10):
for j in range(0,10-i):
table[i][j] = (table[i-1][j] + table[i-1][j+1]) % 10
print(table[9][0])
``` | output | 1 | 67,146 | 20 | 134,293 |
Provide a correct Python 3 solution for this coding contest problem.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4 | instruction | 0 | 67,147 | 20 | 134,294 |
"Correct Solution:
```
s = []
while True:
try:
s.append(str(input()))
except EOFError:
break
def func(x):
array = []
if len(x) == 1:
return x[0]
for i in range(len(x)-1):
array.append((x[i] + x[i+1]) % 10)
return func(array)
for i in range(len(s)):
arr = list(s[i])
for j in range(len(arr)):
arr[j] = int(arr[j])
print(func(arr))
``` | output | 1 | 67,147 | 20 | 134,295 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
while True:
try:
a = []
b = []
a = list(map(int, input()))
while len(a) != 1:
for j in range(len(a)-1):
b.append(a[j]+ a[j+1])
a = b
b = []
ans = a[-1] % 10
print(ans)
except EOFError:
break
``` | instruction | 0 | 67,148 | 20 | 134,296 |
Yes | output | 1 | 67,148 | 20 | 134,297 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
import sys
for line in sys.stdin:
n = line
temp = []
for i in line[:-1]:
temp.append(int(i))
n = temp
while len(n) > 1:
temp = []
for i in range(len(n)-1):
temp.append(int(str(n[i] + n[i+1])[-1]))
n = temp
print(n[0])
``` | instruction | 0 | 67,149 | 20 | 134,298 |
Yes | output | 1 | 67,149 | 20 | 134,299 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
def factorial(a):
if(a==1 or a==0):return 1
else:
return a*factorial(a-1)
def comb(a,b):
return factorial(a)//factorial(a-b)//factorial(b)
while True:
try:
st=input()
ans=0
for i in range(len(st)):
n=int(st[i])
ans+=n*comb(9,i)
print(ans%10)
except:
break
``` | instruction | 0 | 67,150 | 20 | 134,300 |
Yes | output | 1 | 67,150 | 20 | 134,301 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
while True:
try:
L = [int(x) for x in list(input())]
except:
break
T =[]
while len(L) > 1:
for i in range(len(L)-1):
T.append( (L[i] + L[i+1])%10 )
L = T[:]
T = []
print(L[0])
``` | instruction | 0 | 67,151 | 20 | 134,302 |
Yes | output | 1 | 67,151 | 20 | 134,303 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
b = input()
a=list(b)
for i in range(10):
a[i]=int(a[i])
n=9
for i in range(10):
d = 1
for j in range(n):
c=a[j]+a[d]
c=c%10
a[j]=c
d+=1
n-=1
print(a[0])
``` | instruction | 0 | 67,152 | 20 | 134,304 |
No | output | 1 | 67,152 | 20 | 134,305 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
while True:
try:
a = map(int, input())
except:
break
while True:
b = []
for i in range(int(len(a)/2)):
b.append(int(str(a[i*2] + a[i*2+1])[-1]))
if len(b) == 1:
print(b[0])
break
a = b
``` | instruction | 0 | 67,153 | 20 | 134,306 |
No | output | 1 | 67,153 | 20 | 134,307 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
while True:
try:
a = tuple(int, input())
except EOFError:
break
while True:
b = []
for i in range(len(a)-1):
b.append(int(str(a[i] + a[i+1])[-1]))
if len(b) == 1:
print(b[-1])
break
a = b
``` | instruction | 0 | 67,154 | 20 | 134,308 |
No | output | 1 | 67,154 | 20 | 134,309 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider creating the following number pattern.
4 8 2 3 1 0 8 3 7 6
2 0 5 4 1 8 1 0 3
2 5 9 5 9 9 1 3
7 4 4 4 8 0 4
1 8 8 2 8 4
9 6 0 0 2
5 6 0 2
1 6 2
7 8
Five
This pattern follows the rules below.
A B
C
In the sequence of numbers, C is the ones digit of A + B. For example
9 5
Four
Now, the ones digit of 9 + 5 = 14, or 4 is placed diagonally below 9 and 5. Also,
twenty three
Five
Now, the ones digit of 2 + 3 = 5, that is, 5 is placed diagonally below 2 and 3.
Write a program that reads the 10 integers in the top line and outputs one number in the bottom line.
Input
The input consists of multiple datasets. For each dataset, the top 10 numbers are given as strings on one line.
The number of datasets does not exceed 20.
Output
Outputs the numbers in the bottom line to one line for each dataset.
Example
Input
4823108376
1234567890
0123456789
Output
5
6
4
Submitted Solution:
```
while True:
try:
a = tuple(map(int, input()))
except EOFError:
break
while True:
b = []
for i in range(int(len(a)/2)):
b.append(int(str(a[i*2] + a[i*2+1])[-1]))
if len(b) == 1:
print(b[-1])
break
a = b
``` | instruction | 0 | 67,155 | 20 | 134,310 |
No | output | 1 | 67,155 | 20 | 134,311 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,294 | 20 | 136,588 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
t = int(input())
for _ in range(t):
a, b, n = (int(var) for var in input().split())
maxi, mini = max(a, b), min(a, b)
if a > n or b > n :
print(0)
else:
import math
steps = 0
while not(maxi > n or mini > n):
maxi, mini = max(maxi, mini), min(maxi, mini)
mini += maxi
steps += 1
print(steps)
``` | output | 1 | 68,294 | 20 | 136,589 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,295 | 20 | 136,590 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
t = int(input())
cases = []
for i in range(t):
cases.append(list(map(int, input().strip().split())))
def solve(case):
steps =0
a, b, n = case
while a <= n and b <= n:
steps+=1
s = a+b
if a < b:
a = s
else:
b = s
print(steps)
for case in cases:
solve(case)
``` | output | 1 | 68,295 | 20 | 136,591 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,296 | 20 | 136,592 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
t=int(input())
for _ in range(t):
a,b,n=map(int,input().split())
steps=0
if a<b:
a,b=b,a
while max(a,b)<=n:
if b<a:
b+=a
else:
a+=b
steps+=1
print(steps)
``` | output | 1 | 68,296 | 20 | 136,593 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,297 | 20 | 136,594 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
# cook your dish here
# cook your dish here
t = int(input())
while t:
a,b,n = map(int,input().split())
count = 0
while max(a,b)<=n:
if a<b:
a = a+b
else:
b= b+a
count =count+1
print(count)
t = t-1
``` | output | 1 | 68,297 | 20 | 136,595 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,298 | 20 | 136,596 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
t = int(input())
while t:
t-=1
a,b,n = map(int, input().split())
ans = 0
if a>b:
a,b=b,a
if max(a,b) > n:
print(0)
continue
curr = 0
while curr <= n:
curr = a+b
ans+=1
a=b
b=curr
print(ans)
``` | output | 1 | 68,298 | 20 | 136,597 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,299 | 20 | 136,598 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
for s in[*open(0)][1:]:
a,b,n=map(int,s.split());i=0
while b<=n:a,b=max(a,b),a+b;i+=1
print(i)
``` | output | 1 | 68,299 | 20 | 136,599 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,300 | 20 | 136,600 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
tc=int(input())
for _ in range(tc):
a,b,n=map(int,(input().split()))
# a=[int(x) for x in input().split()]
# a.sort()
ops=0
while a <= n and b <= n:
if a>b:
b+=a
else:
a+=b
ops+=1
print(ops)
``` | output | 1 | 68,300 | 20 | 136,601 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice. | instruction | 0 | 68,301 | 20 | 136,602 |
Tags: brute force, greedy, implementation, math
Correct Solution:
```
# https://codeforces.com/contest/1368/problem/0
import sys
reader = (s.rstrip() for s in sys.stdin)
input = reader.__next__
# do magic here
t = int(input())
for _ in range(t):
a, b, n = map(int, input().split())
a, b = min(a, b), max(a, b)
ans = 0
while b <= n:
c = a+b
a = b
b = c
ans+=1
print(ans)
``` | output | 1 | 68,301 | 20 | 136,603 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice.
Submitted Solution:
```
import sys
"""
for _ in range(int(input())):
a, b, n = map(int, input().split())
c = 0
while max(a, b) <= n:
a, b = a + b, max(a, b)
c += 1
print(c)
"""
for _ in range(int(input())):
a, b, n = map(int, input().split())
c = 0
while (a <= n and b <= n):
if a < b:
a += b
else:
b += a
c += 1
print(c)
``` | instruction | 0 | 68,303 | 20 | 136,606 |
Yes | output | 1 | 68,303 | 20 | 136,607 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice.
Submitted Solution:
```
t = int(input())
for _ in range(t):
c = 0
a, b, n = input().split(' ')
a = int(a)
b = int(b)
n = int(n)
while 1:
if (a + b) > n:
c += 1
break
if a < b:
a += b
c += 1
else:
b += a
c += 1
print(c)
``` | instruction | 0 | 68,304 | 20 | 136,608 |
Yes | output | 1 | 68,304 | 20 | 136,609 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice.
Submitted Solution:
```
for tt in range(int(input())):
a,b,n = map(int,input().split())
ops = 0
while (a<=n and b<=n):
ops+=1
if a<b:
a+=b
else:
b+=a
## print(a,b)
print(ops)
``` | instruction | 0 | 68,305 | 20 | 136,610 |
Yes | output | 1 | 68,305 | 20 | 136,611 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice.
Submitted Solution:
```
T = int(input())
for f in range(T):
x = 0
a, b, n = map(int, input().split())
p = True
if a > b:
Big = a
Small = b
else:
Big = b
Small = a
while Big < n and Small < n:
if p:
Big+= Small
p = False
else:
Small += Big
p = True
x += 1
print(x)
``` | instruction | 0 | 68,306 | 20 | 136,612 |
No | output | 1 | 68,306 | 20 | 136,613 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice.
Submitted Solution:
```
import sys
T=int(sys.stdin.readline())
ans_arr=[]
for t in range(T):
[a,b,n]=[int(i) for i in sys.stdin.readline().split()]
if(a>n or b>n):
ans_arr.append(str(0))
else:
n1=a
n2=b
ctr=0
while(True):
ctr+=1
if(n1+n2>n):
break
tmp=n1
n1=n2
n2=tmp+n2
ans_arr.append(str(ctr))
print("\n".join(ans_arr))
``` | instruction | 0 | 68,307 | 20 | 136,614 |
No | output | 1 | 68,307 | 20 | 136,615 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Leo has developed a new programming language C+=. In C+=, integer variables can only be changed with a "+=" operation that adds the right-hand side value to the left-hand side variable. For example, performing "a += b" when a = 2, b = 3 changes the value of a to 5 (the value of b does not change).
In a prototype program Leo has two integer variables a and b, initialized with some positive values. He can perform any number of operations "a += b" or "b += a". Leo wants to test handling large integers, so he wants to make the value of either a or b strictly greater than a given value n. What is the smallest number of operations he has to perform?
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of test cases.
Each of the following T lines describes a single test case, and contains three integers a, b, n (1 ≤ a, b ≤ n ≤ 10^9) — initial values of a and b, and the value one of the variables has to exceed, respectively.
Output
For each test case print a single integer — the smallest number of operations needed. Separate answers with line breaks.
Example
Input
2
1 2 3
5 4 100
Output
2
7
Note
In the first case we cannot make a variable exceed 3 in one operation. One way of achieving this in two operations is to perform "b += a" twice.
Submitted Solution:
```
#!/usr/bin/env python
# coding: utf-8
# In[2]:
t = int(input())
for i in range(t):
abn = list(map(int, input().split(" ")))
a = None
b = None
count = 0
if(abn[0]> abn[1]):
a = abn[0]
b = abn[1]
else:
a = abn[1]
b = abn[0]
while(a<abn[2] or b<abn[2]):
a += b
b += a
count += 2
if(a> abn[2] and b>abn[2]):
print((count-1))
else:
print(count)
``` | instruction | 0 | 68,309 | 20 | 136,618 |
No | output | 1 | 68,309 | 20 | 136,619 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For a positive integer n let's define a function f:
f(n) = - 1 + 2 - 3 + .. + ( - 1)nn
Your task is to calculate f(n) for a given integer n.
Input
The single line contains the positive integer n (1 ≤ n ≤ 1015).
Output
Print f(n) in a single line.
Examples
Input
4
Output
2
Input
5
Output
-3
Note
f(4) = - 1 + 2 - 3 + 4 = 2
f(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | instruction | 0 | 68,511 | 20 | 137,022 |
Tags: implementation, math
Correct Solution:
```
n=int(input())
if n%2==0:
res=n//2
else:
res=(n-1)//2-n
print(res)
``` | output | 1 | 68,511 | 20 | 137,023 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For a positive integer n let's define a function f:
f(n) = - 1 + 2 - 3 + .. + ( - 1)nn
Your task is to calculate f(n) for a given integer n.
Input
The single line contains the positive integer n (1 ≤ n ≤ 1015).
Output
Print f(n) in a single line.
Examples
Input
4
Output
2
Input
5
Output
-3
Note
f(4) = - 1 + 2 - 3 + 4 = 2
f(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | instruction | 0 | 68,512 | 20 | 137,024 |
Tags: implementation, math
Correct Solution:
```
n1=int(input())
e=(n1//2)
if n1%2:
o=(n1//2)+1
else:
o=n1//2
print((e*(e+1))-(o**2))
# -1+2-3+4.....((-1)**n)*n
# sum of n even numbers is 'n*(n+1)'
# sum of n odd numbers is 'n^2'
``` | output | 1 | 68,512 | 20 | 137,025 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For a positive integer n let's define a function f:
f(n) = - 1 + 2 - 3 + .. + ( - 1)nn
Your task is to calculate f(n) for a given integer n.
Input
The single line contains the positive integer n (1 ≤ n ≤ 1015).
Output
Print f(n) in a single line.
Examples
Input
4
Output
2
Input
5
Output
-3
Note
f(4) = - 1 + 2 - 3 + 4 = 2
f(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | instruction | 0 | 68,513 | 20 | 137,026 |
Tags: implementation, math
Correct Solution:
```
s=int(input())
p=s//2
if(s%2!=0):
a=(p+1)*(p+1)
b=p*(p+1)
print(-a+b)
else:
a=(p)*(p)
b=p*(p+1)
print(b-a)
``` | output | 1 | 68,513 | 20 | 137,027 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For a positive integer n let's define a function f:
f(n) = - 1 + 2 - 3 + .. + ( - 1)nn
Your task is to calculate f(n) for a given integer n.
Input
The single line contains the positive integer n (1 ≤ n ≤ 1015).
Output
Print f(n) in a single line.
Examples
Input
4
Output
2
Input
5
Output
-3
Note
f(4) = - 1 + 2 - 3 + 4 = 2
f(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | instruction | 0 | 68,514 | 20 | 137,028 |
Tags: implementation, math
Correct Solution:
```
def f(n) :
if n == 0 :
return 0
elif n == 1 :
return -1
else :
if n % 2 == 0 :
return n//2
elif n % 2 == 1 :
return f(1) * (f(n-1) + 1)
if __name__ == '__main__':
x = int(input())
print(f(x))
``` | output | 1 | 68,514 | 20 | 137,029 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For a positive integer n let's define a function f:
f(n) = - 1 + 2 - 3 + .. + ( - 1)nn
Your task is to calculate f(n) for a given integer n.
Input
The single line contains the positive integer n (1 ≤ n ≤ 1015).
Output
Print f(n) in a single line.
Examples
Input
4
Output
2
Input
5
Output
-3
Note
f(4) = - 1 + 2 - 3 + 4 = 2
f(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | instruction | 0 | 68,515 | 20 | 137,030 |
Tags: implementation, math
Correct Solution:
```
n=int(input())
k=n
if(n%2==0):
k=k//2
even=k*(k+1)
odd=k**2
print(even-odd)
else:
k=k//2
even=k*(k+1)
odd=k**2
print(even-odd-n)
``` | output | 1 | 68,515 | 20 | 137,031 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For a positive integer n let's define a function f:
f(n) = - 1 + 2 - 3 + .. + ( - 1)nn
Your task is to calculate f(n) for a given integer n.
Input
The single line contains the positive integer n (1 ≤ n ≤ 1015).
Output
Print f(n) in a single line.
Examples
Input
4
Output
2
Input
5
Output
-3
Note
f(4) = - 1 + 2 - 3 + 4 = 2
f(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | instruction | 0 | 68,516 | 20 | 137,032 |
Tags: implementation, math
Correct Solution:
```
a=int(input())
print(round((a/2)+0.4)*(-1)**(a%2))
``` | output | 1 | 68,516 | 20 | 137,033 |
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