message stringlengths 2 44.5k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers A_1, A_2, ..., A_N.
There are \frac{N(N-1)}{2} ways to choose two of them and form a pair. If we compute the product of each of those pairs and sort the results in ascending ... | instruction | 0 | 13,932 | 5 | 27,864 |
Yes | output | 1 | 13,932 | 5 | 27,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers A_1, A_2, ..., A_N.
There are \frac{N(N-1)}{2} ways to choose two of them and form a pair. If we compute the product of each of those pairs and sort the results in ascending ... | instruction | 0 | 13,933 | 5 | 27,866 |
No | output | 1 | 13,933 | 5 | 27,867 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers A_1, A_2, ..., A_N.
There are \frac{N(N-1)}{2} ways to choose two of them and form a pair. If we compute the product of each of those pairs and sort the results in ascending ... | instruction | 0 | 13,934 | 5 | 27,868 |
No | output | 1 | 13,934 | 5 | 27,869 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers A_1, A_2, ..., A_N.
There are \frac{N(N-1)}{2} ways to choose two of them and form a pair. If we compute the product of each of those pairs and sort the results in ascending ... | instruction | 0 | 13,935 | 5 | 27,870 |
No | output | 1 | 13,935 | 5 | 27,871 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N integers A_1, A_2, ..., A_N.
There are \frac{N(N-1)}{2} ways to choose two of them and form a pair. If we compute the product of each of those pairs and sort the results in ascending ... | instruction | 0 | 13,936 | 5 | 27,872 |
No | output | 1 | 13,936 | 5 | 27,873 |
Provide a correct Python 3 solution for this coding contest problem.
Problem statement
Cards with ranks of $ 2 $ and $ 8 $ are powerful in card game millionaires. Therefore, we call an integer consisting of only the numbers $ 2 $ and $ 8 $ in $ 10 $ decimal notation a good integer. The best integers are listed from t... | instruction | 0 | 14,102 | 5 | 28,204 |
"Correct Solution:
```
import bisect
import sys
sys.setrecursionlimit(10000)
a=[]
def f(a,bin,n):
if bin>n:return
if bin:a+=[bin]
f(a,bin*10+2,n)
f(a,bin*10+8,n)
def g(n,p):
m=-1<<20
x=bisect.bisect_left(a,n)
if x!=len(a) and a[x]==n:m=1
if a[p]**2>n:return m
if n%a[p]==0:m=g(n//a[p... | output | 1 | 14,102 | 5 | 28,205 |
Provide a correct Python 3 solution for this coding contest problem.
Problem statement
Cards with ranks of $ 2 $ and $ 8 $ are powerful in card game millionaires. Therefore, we call an integer consisting of only the numbers $ 2 $ and $ 8 $ in $ 10 $ decimal notation a good integer. The best integers are listed from t... | instruction | 0 | 14,103 | 5 | 28,206 |
"Correct Solution:
```
import bisect
import sys
sys.setrecursionlimit(10000)
a=[]
def f(a,bin,n):
if bin>n:return
if bin:a+=[bin]
f(a,bin*10+2,n)
f(a,bin*10+8,n)
def g(n,p):
m=-1<<20
x=bisect.bisect_left(a,n)
if x!=len(a) and a[x]==n:m=1
if a[p]**2>n:return m
if n%a[p]==0:m=g(n//a[p... | output | 1 | 14,103 | 5 | 28,207 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Problem statement
Cards with ranks of $ 2 $ and $ 8 $ are powerful in card game millionaires. Therefore, we call an integer consisting of only the numbers $ 2 $ and $ 8 $ in $ 10 $ decimal nota... | instruction | 0 | 14,104 | 5 | 28,208 |
No | output | 1 | 14,104 | 5 | 28,209 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Problem statement
Cards with ranks of $ 2 $ and $ 8 $ are powerful in card game millionaires. Therefore, we call an integer consisting of only the numbers $ 2 $ and $ 8 $ in $ 10 $ decimal nota... | instruction | 0 | 14,105 | 5 | 28,210 |
No | output | 1 | 14,105 | 5 | 28,211 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Problem statement
Cards with ranks of $ 2 $ and $ 8 $ are powerful in card game millionaires. Therefore, we call an integer consisting of only the numbers $ 2 $ and $ 8 $ in $ 10 $ decimal nota... | instruction | 0 | 14,106 | 5 | 28,212 |
No | output | 1 | 14,106 | 5 | 28,213 |
Provide a correct Python 3 solution for this coding contest problem.
Problem
If you bring an empty bottle of $ a $ milk, you can exchange it for a new bottle of $ b $ milk.
How many bottles of milk can Mr. Kawabayashi, who initially has a bottle of $ x $ milk, drink? Output the remainder after dividing by $ 100000000... | instruction | 0 | 14,108 | 5 | 28,216 |
"Correct Solution:
```
a, b, x = map(int, input().split())
print((x+max(0, x-b)//(a-b)*b)%1000000007)
``` | output | 1 | 14,108 | 5 | 28,217 |
Provide a correct Python 3 solution for this coding contest problem.
Problem
If you bring an empty bottle of $ a $ milk, you can exchange it for a new bottle of $ b $ milk.
How many bottles of milk can Mr. Kawabayashi, who initially has a bottle of $ x $ milk, drink? Output the remainder after dividing by $ 100000000... | instruction | 0 | 14,109 | 5 | 28,218 |
"Correct Solution:
```
def inpl(): return list(map(int, input().split()))
MOD = 10**9 + 7
a, b, x = inpl()
if x < a:
print(x%MOD)
else:
e = (x-b)//(a-b)
print((x + e*b)%MOD)
``` | output | 1 | 14,109 | 5 | 28,219 |
Provide a correct Python 3 solution for this coding contest problem.
Problem
If you bring an empty bottle of $ a $ milk, you can exchange it for a new bottle of $ b $ milk.
How many bottles of milk can Mr. Kawabayashi, who initially has a bottle of $ x $ milk, drink? Output the remainder after dividing by $ 100000000... | instruction | 0 | 14,110 | 5 | 28,220 |
"Correct Solution:
```
a,b,x = [int(i) for i in input().split()]
d = a - b
n = max(0,(x - b)) // d
ans = x + n * b
print(ans % 1000000007)
``` | output | 1 | 14,110 | 5 | 28,221 |
Provide a correct Python 3 solution for this coding contest problem.
Problem
If you bring an empty bottle of $ a $ milk, you can exchange it for a new bottle of $ b $ milk.
How many bottles of milk can Mr. Kawabayashi, who initially has a bottle of $ x $ milk, drink? Output the remainder after dividing by $ 100000000... | instruction | 0 | 14,111 | 5 | 28,222 |
"Correct Solution:
```
a, b, x = [int(k) for k in input().split()]
if x >= a:
d = ((x-b) // (a-b))* b + x
else:
d = x
print(d%1000000007)
``` | output | 1 | 14,111 | 5 | 28,223 |
Provide a correct Python 3 solution for this coding contest problem.
Problem
If you bring an empty bottle of $ a $ milk, you can exchange it for a new bottle of $ b $ milk.
How many bottles of milk can Mr. Kawabayashi, who initially has a bottle of $ x $ milk, drink? Output the remainder after dividing by $ 100000000... | instruction | 0 | 14,112 | 5 | 28,224 |
"Correct Solution:
```
#!/usr/bin/env python3
a, b, x = map(int, input().split())
print((x + max(x - b, 0) // (a - b) * b) % 1000000007)
``` | output | 1 | 14,112 | 5 | 28,225 |
Provide a correct Python 3 solution for this coding contest problem.
Problem
If you bring an empty bottle of $ a $ milk, you can exchange it for a new bottle of $ b $ milk.
How many bottles of milk can Mr. Kawabayashi, who initially has a bottle of $ x $ milk, drink? Output the remainder after dividing by $ 100000000... | instruction | 0 | 14,113 | 5 | 28,226 |
"Correct Solution:
```
#! /usr/bin/env python3
a, b, x = map(int, input().split())
MOD = int(1e9+7)
if x < a:
res = x % MOD
else:
k = (x-b) // (a-b)
res = (x + b*k)
res %= MOD
print(res)
``` | output | 1 | 14,113 | 5 | 28,227 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,130 | 5 | 28,260 |
"Correct Solution:
```
class Node:
def __init__(self, value):
self.value = value
self.next = None
class List:
def __init__(self):
self.head = None
self.tail = None
def insert(self, v):
node = Node(v)
if self.tail is None:
self.head = node
... | output | 1 | 14,130 | 5 | 28,261 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,131 | 5 | 28,262 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
from collections import deque
N,Q = map(int,input().split())
L = [deque([]) for _ in range(N)]
for _ in range(Q):
q = list(map(int,input().split()))
if q[0] == 0:
L[q[1]].append(q[2])
elif q[0] == 1:
if L[q[1]]:
pri... | output | 1 | 14,131 | 5 | 28,263 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,132 | 5 | 28,264 |
"Correct Solution:
```
import collections
class Splice():
def __init__(self, num_lists):
self.lists = [collections.deque() for i in range(0, num_lists, 1)]
def insert(self, t, x):
self.lists[t].append(x)
return self
def dump(self, t):
print(' '.join(map(str, self.lists[t]... | output | 1 | 14,132 | 5 | 28,265 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,133 | 5 | 28,266 |
"Correct Solution:
```
import sys
from collections import deque,defaultdict
A = defaultdict(deque)
sys.stdin.readline().split()
ans =[]
for query in sys.stdin:
if query[0] == "0":
t,x = query[2:].split()
A[t].append(x)
elif query[0] == "1":
ans.append(" ".join(A[query[2:-1]]) + "\n")
... | output | 1 | 14,133 | 5 | 28,267 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,134 | 5 | 28,268 |
"Correct Solution:
```
def solve():
from collections import deque
from sys import stdin
f_i = stdin
n, q = map(int, f_i.readline().split())
L = [deque() for i in range(n)]
ans = []
for op in (line.split() for line in f_i):
op_type = op[0]
if op_type == '0':
... | output | 1 | 14,134 | 5 | 28,269 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,135 | 5 | 28,270 |
"Correct Solution:
```
from collections import deque
import sys
n, q = map(int, input().split())
# Q = [[] for _ in range(n)]
Q = [deque() for _ in range(n)]
ans = []
for query in (line.split() for line in sys.stdin):
s = int(query[1])
if query[0] == '0':
t = int(query[2])
Q[s].append(t)
e... | output | 1 | 14,135 | 5 | 28,271 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,136 | 5 | 28,272 |
"Correct Solution:
```
import sys
from collections import deque
sys.setrecursionlimit(10**9)
n,q = map(int, input().split())
l = [deque() for _ in range(n)]
for _ in range(q):
query = input().split()
if query[0] == "0": # insert
idx = int(query[1])
l[idx].append(query[2])
elif query[0] == "1": # dump
idx = i... | output | 1 | 14,136 | 5 | 28,273 |
Provide a correct Python 3 solution for this coding contest problem.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_t$.
* splice($s$, $t$): Transfer elements of $L_s$ to th... | instruction | 0 | 14,137 | 5 | 28,274 |
"Correct Solution:
```
from collections import deque
n, q = [int(x) for x in input().split()]
L = [ deque() for _ in range(n) ]
for _ in range(q):
c, t, x = [int(x) for x in (input()+" 0").split()][:3]
if c == 0:
L[t].append(x)
elif c == 1:
print( " ".join(map(str,L[t])))
else:
... | output | 1 | 14,137 | 5 | 28,275 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,138 | 5 | 28,276 |
Yes | output | 1 | 14,138 | 5 | 28,277 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,139 | 5 | 28,278 |
Yes | output | 1 | 14,139 | 5 | 28,279 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,140 | 5 | 28,280 |
Yes | output | 1 | 14,140 | 5 | 28,281 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,141 | 5 | 28,282 |
Yes | output | 1 | 14,141 | 5 | 28,283 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,142 | 5 | 28,284 |
No | output | 1 | 14,142 | 5 | 28,285 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,143 | 5 | 28,286 |
No | output | 1 | 14,143 | 5 | 28,287 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,144 | 5 | 28,288 |
No | output | 1 | 14,144 | 5 | 28,289 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For $n$ lists $L_i$ $(i = 0, 1, ..., n-1)$, perform a sequence of the following operations.
* insert($t$, $x$): Insert an integer $x$ at the end of $L_t$.
* dump($t$): Print all elements in $L_... | instruction | 0 | 14,145 | 5 | 28,290 |
No | output | 1 | 14,145 | 5 | 28,291 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem.
There is an unknown integer x (1≤ x≤ n). You want to find x.
At first, you have a set of integers \{1, 2, …, n\}. You can perform the following operations no mo... | instruction | 0 | 14,361 | 5 | 28,722 |
No | output | 1 | 14,361 | 5 | 28,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem.
There is an unknown integer x (1≤ x≤ n). You want to find x.
At first, you have a set of integers \{1, 2, …, n\}. You can perform the following operations no mo... | instruction | 0 | 14,362 | 5 | 28,724 |
No | output | 1 | 14,362 | 5 | 28,725 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem.
There is an unknown integer x (1≤ x≤ n). You want to find x.
At first, you have a set of integers \{1, 2, …, n\}. You can perform the following operations no mo... | instruction | 0 | 14,363 | 5 | 28,726 |
No | output | 1 | 14,363 | 5 | 28,727 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem.
There is an unknown integer x (1≤ x≤ n). You want to find x.
At first, you have a set of integers \{1, 2, …, n\}. You can perform the following operations no mo... | instruction | 0 | 14,364 | 5 | 28,728 |
No | output | 1 | 14,364 | 5 | 28,729 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,568 | 5 | 29,136 |
Yes | output | 1 | 14,568 | 5 | 29,137 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,569 | 5 | 29,138 |
Yes | output | 1 | 14,569 | 5 | 29,139 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,570 | 5 | 29,140 |
Yes | output | 1 | 14,570 | 5 | 29,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,571 | 5 | 29,142 |
Yes | output | 1 | 14,571 | 5 | 29,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,572 | 5 | 29,144 |
No | output | 1 | 14,572 | 5 | 29,145 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,573 | 5 | 29,146 |
No | output | 1 | 14,573 | 5 | 29,147 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,574 | 5 | 29,148 |
No | output | 1 | 14,574 | 5 | 29,149 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
<image>
Input
The input contains a single floating-point number x with exactly 6 decimal places (0 < x < 5).
Output
Output two integers separated by a single space. Each integer should be be... | instruction | 0 | 14,575 | 5 | 29,150 |
No | output | 1 | 14,575 | 5 | 29,151 |
Provide a correct Python 3 solution for this coding contest problem.
Given is an integer N. Find the minimum possible positive integer k such that (1+2+\cdots+k) is a multiple of N. It can be proved that such a positive integer k always exists.
Constraints
* 1 \leq N \leq 10^{15}
* All values in input are integers.
... | instruction | 0 | 14,758 | 5 | 29,516 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
import sys
# sys.setrecursionlimit(10**6)
# readline = sys.stdin.buffer.readline
readline = sys.stdin.readline
INF = 1 << 50
def read_int():
return int(readline())
def read_int_n():
return list(map(int, readline().split()))
def read_float():
return flo... | output | 1 | 14,758 | 5 | 29,517 |
Provide a correct Python 3 solution for this coding contest problem.
Given is an integer N. Find the minimum possible positive integer k such that (1+2+\cdots+k) is a multiple of N. It can be proved that such a positive integer k always exists.
Constraints
* 1 \leq N \leq 10^{15}
* All values in input are integers.
... | instruction | 0 | 14,761 | 5 | 29,522 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
n = int(input()) * 2
D = []
for i in range(2, int(n**0.5) + 1):
d = 1
while n%i == 0:
n //= i
d *= i
if d != 1:
D.append(d)
if n == 1:
break
if n != 1:
D.append(n)
# print(D)
# 拡張Euclidの互除法。ap + bq = gcd(... | output | 1 | 14,761 | 5 | 29,523 |
Provide a correct Python 3 solution for this coding contest problem.
Given is an integer N. Find the minimum possible positive integer k such that (1+2+\cdots+k) is a multiple of N. It can be proved that such a positive integer k always exists.
Constraints
* 1 \leq N \leq 10^{15}
* All values in input are integers.
... | instruction | 0 | 14,762 | 5 | 29,524 |
"Correct Solution:
```
from itertools import product
def main():
n = int(input())
n_copy = n
if n == 1:
print(1)
exit()
if n % 2 == 0:
ans = 2 * n - 1
n *= 2
else:
ans = n - 1
factors = []
for p in range(2, n):
if p * p > n:
if ... | output | 1 | 14,762 | 5 | 29,525 |
Provide a correct Python 3 solution for this coding contest problem.
Given is an integer N. Find the minimum possible positive integer k such that (1+2+\cdots+k) is a multiple of N. It can be proved that such a positive integer k always exists.
Constraints
* 1 \leq N \leq 10^{15}
* All values in input are integers.
... | instruction | 0 | 14,763 | 5 | 29,526 |
"Correct Solution:
```
import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))
write = lambda x: sys.stdout.write(x+"\n")
n = int(input())
def factor(n, m=None):
# mを与えると、高々その素因数まで見て、残りは分解せずにそのまま出力する
arr = {}
temp = n
M = int(-(-n**0.5//1))+1
if m is not N... | output | 1 | 14,763 | 5 | 29,527 |
Provide a correct Python 3 solution for this coding contest problem.
Given is an integer N. Find the minimum possible positive integer k such that (1+2+\cdots+k) is a multiple of N. It can be proved that such a positive integer k always exists.
Constraints
* 1 \leq N \leq 10^{15}
* All values in input are integers.
... | instruction | 0 | 14,765 | 5 | 29,530 |
"Correct Solution:
```
def euclid(x, y):
c0, c1 = x, y
a0, a1 = 1, 0
b0, b1 = 0, 1
while c1 != 0:
m = c0 % c1
q = c0 // c1
c0, c1 = c1, m
a0, a1 = a1, (a0 - q * a1)
b0, b1 = b1, (b0 - q * b1)
return a0, b0
n=int(input())
n=n*2
soinsu=[]
num=n
for i i... | output | 1 | 14,765 | 5 | 29,531 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is an integer N. Find the minimum possible positive integer k such that (1+2+\cdots+k) is a multiple of N. It can be proved that such a positive integer k always exists.
Constraints
* 1 ... | instruction | 0 | 14,766 | 5 | 29,532 |
Yes | output | 1 | 14,766 | 5 | 29,533 |
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