message stringlengths 2 57.2k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 61 108k | cluster float64 22 22 | __index_level_0__ int64 122 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisible by b. It is possible, that you have to make 0... | instruction | 0 | 34,423 | 22 | 68,846 |
Tags: math
Correct Solution:
```
t = int(input())
for i in range(t):
a,b = map(int,input().split())
if a%b == 0:
print(0)
else:
m = a // b
print((b*(m+1)) - a)
``` | output | 1 | 34,423 | 22 | 68,847 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisible by b. It is possible, that you have to make 0... | instruction | 0 | 34,424 | 22 | 68,848 |
Tags: math
Correct Solution:
```
t=int(input())
for i in range(0,t):
y=input().split()
a=int(y[0])
b=int(y[1])
m=a%b
if m==0:
print(m)
else:
print(b-m)
``` | output | 1 | 34,424 | 22 | 68,849 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisible by b. It is possible, that you have to make 0... | instruction | 0 | 34,425 | 22 | 68,850 |
Tags: math
Correct Solution:
```
def incrementation(a,b):
if a % b == 0:
return 0
else:
r = a % b
return b-r
testCases = int(input())
for i in range(testCases):
a,b = map(int,input().split())
print(incrementation(a,b))
``` | output | 1 | 34,425 | 22 | 68,851 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisible by b. It is possible, that you have to make 0... | instruction | 0 | 34,426 | 22 | 68,852 |
Tags: math
Correct Solution:
```
t=int(input())
while t>0:
t-=1
a,b=map(int,input().split())
c=a//b
d=a%b
if d==0:
print(0)
else:
print((c+1)*b-a)
``` | output | 1 | 34,426 | 22 | 68,853 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisible by b. It is possible, that you have to make 0... | instruction | 0 | 34,427 | 22 | 68,854 |
Tags: math
Correct Solution:
```
for i in range(int(input())):
a,b = map(int,input().split())
if a%b == 0 :
print(0)
else:
print(b - a % b)
``` | output | 1 | 34,427 | 22 | 68,855 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisible by b. It is possible, that you have to make 0... | instruction | 0 | 34,428 | 22 | 68,856 |
Tags: math
Correct Solution:
```
n = int(input())
steps = []
for i in range(n):
a, b = map(int, input().split())
if a%b != 0:
step = (((a//b)+1)*b)-a
steps.append(step)
else:
steps.append(0)
for i in steps: print(i)
``` | output | 1 | 34,428 | 22 | 68,857 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisible by b. It is possible, that you have to make 0... | instruction | 0 | 34,429 | 22 | 68,858 |
Tags: math
Correct Solution:
```
for t in range(int(input())):
a,b=map(int,input().split())
if a<=b:
print(b-a)
else:
if a%b==0:
print(0)
else:
v=a//b+1
print(b*v-a)
``` | output | 1 | 34,429 | 22 | 68,859 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,430 | 22 | 68,860 |
Yes | output | 1 | 34,430 | 22 | 68,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,431 | 22 | 68,862 |
Yes | output | 1 | 34,431 | 22 | 68,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,432 | 22 | 68,864 |
Yes | output | 1 | 34,432 | 22 | 68,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,433 | 22 | 68,866 |
Yes | output | 1 | 34,433 | 22 | 68,867 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,434 | 22 | 68,868 |
No | output | 1 | 34,434 | 22 | 68,869 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,435 | 22 | 68,870 |
No | output | 1 | 34,435 | 22 | 68,871 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,436 | 22 | 68,872 |
No | output | 1 | 34,436 | 22 | 68,873 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b. In one move you can increase a by 1 (replace a with a+1). Your task is to find the minimum number of moves you need to do in order to make a divisibl... | instruction | 0 | 34,437 | 22 | 68,874 |
No | output | 1 | 34,437 | 22 | 68,875 |
Provide tags and a correct Python 3 solution for this coding contest problem.
JATC's math teacher always gives the class some interesting math problems so that they don't get bored. Today the problem is as follows. Given an integer n, you can perform the following operations zero or more times:
* mul x: multiplies ... | instruction | 0 | 35,156 | 22 | 70,312 |
Tags: greedy, math, number theory
Correct Solution:
```
import math
def list_primes_upto(upto :int):
uptop1 = upto+1
uptom1 = upto-1
pcl = [True for x in range(uptop1)]
lprimes = []
if upto >= 2: lprimes.append(2)
if upto >= 3: lprimes.append(3)
i = 5
while i < uptom1:
ix2 = i*... | output | 1 | 35,156 | 22 | 70,313 |
Provide tags and a correct Python 3 solution for this coding contest problem.
JATC's math teacher always gives the class some interesting math problems so that they don't get bored. Today the problem is as follows. Given an integer n, you can perform the following operations zero or more times:
* mul x: multiplies ... | instruction | 0 | 35,158 | 22 | 70,316 |
Tags: greedy, math, number theory
Correct Solution:
```
import math
def primeFactors(n):
if n%2==0:
dict1[2]=0
while n % 2 == 0:
dict1[2]+=1
n = n // 2
for i in range(3,int(math.sqrt(n))+1,2):
if n%i==0:
dict1[i]=0
while n % i== 0:
dict1[i]... | output | 1 | 35,158 | 22 | 70,317 |
Provide tags and a correct Python 3 solution for this coding contest problem.
JATC's math teacher always gives the class some interesting math problems so that they don't get bored. Today the problem is as follows. Given an integer n, you can perform the following operations zero or more times:
* mul x: multiplies ... | instruction | 0 | 35,159 | 22 | 70,318 |
Tags: greedy, math, number theory
Correct Solution:
```
# Python program to print prime factors
import math
def primeFactors(n):
# Print the number of two's that divide n
dic = {}
while n % 2 == 0:
if 2 in dic:
dic[2] += 1
else:
dic[2] = 1
n = n / 2
... | output | 1 | 35,159 | 22 | 70,319 |
Provide tags and a correct Python 3 solution for this coding contest problem.
JATC's math teacher always gives the class some interesting math problems so that they don't get bored. Today the problem is as follows. Given an integer n, you can perform the following operations zero or more times:
* mul x: multiplies ... | instruction | 0 | 35,161 | 22 | 70,322 |
Tags: greedy, math, number theory
Correct Solution:
```
def main():
buf = input()
n = int(buf)
op_count = 0
factor = prime_factorization(n)
c_max = 1
first_c = None
all_same = True
min_number = 1
for f, c in factor.items():
if c > c_max:
c_max = c
if firs... | output | 1 | 35,161 | 22 | 70,323 |
Provide tags and a correct Python 3 solution for this coding contest problem.
JATC's math teacher always gives the class some interesting math problems so that they don't get bored. Today the problem is as follows. Given an integer n, you can perform the following operations zero or more times:
* mul x: multiplies ... | instruction | 0 | 35,162 | 22 | 70,324 |
Tags: greedy, math, number theory
Correct Solution:
```
def factorize(n):
fct = [] # prime factor
b, e = 2, 0 # base, exponent
while b * b <= n:
while n % b == 0:
n = n // b
e = e + 1
if e > 0:
fct.append((b, e))
b, e = b + 1, 0
if n > 1:
... | output | 1 | 35,162 | 22 | 70,325 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
If an integer a is divisible by another integer b, then b is called the divisor of a.
For example: 12 has positive 6 divisors. They are 1, 2, 3, 4, 6 and 12.
Letβs define a function D(n) β num... | instruction | 0 | 35,608 | 22 | 71,216 |
No | output | 1 | 35,608 | 22 | 71,217 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
If an integer a is divisible by another integer b, then b is called the divisor of a.
For example: 12 has positive 6 divisors. They are 1, 2, 3, 4, 6 and 12.
Letβs define a function D(n) β num... | instruction | 0 | 35,609 | 22 | 71,218 |
No | output | 1 | 35,609 | 22 | 71,219 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
If an integer a is divisible by another integer b, then b is called the divisor of a.
For example: 12 has positive 6 divisors. They are 1, 2, 3, 4, 6 and 12.
Letβs define a function D(n) β num... | instruction | 0 | 35,610 | 22 | 71,220 |
No | output | 1 | 35,610 | 22 | 71,221 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
If an integer a is divisible by another integer b, then b is called the divisor of a.
For example: 12 has positive 6 divisors. They are 1, 2, 3, 4, 6 and 12.
Letβs define a function D(n) β num... | instruction | 0 | 35,611 | 22 | 71,222 |
No | output | 1 | 35,611 | 22 | 71,223 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he plea... | instruction | 0 | 35,646 | 22 | 71,292 |
Tags: greedy, math, number theory
Correct Solution:
```
def prime_t(t):
i=2
while i**2<=t:
if t%i==0:
return 0
i+=1
return 1
def prime_list(tt):
p_list=[]
for i in range(2,tt+1):
if prime_t(i):
p_list.append(i)
return p_list
chk=prime_list(318)
... | output | 1 | 35,646 | 22 | 71,293 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he plea... | instruction | 0 | 35,647 | 22 | 71,294 |
Tags: greedy, math, number theory
Correct Solution:
```
from collections import Counter
newn = int(input())
unfs = list(map(int, input().split()))
s = []
n = 0
p = [2, 3]
for i in range(1, 55):
p.append(6*i - 1)
p.append(6*i + 1)
if newn == 1 and unfs[0] == 1:
print(1)
else:
for i in unfs:
... | output | 1 | 35,647 | 22 | 71,295 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he plea... | instruction | 0 | 35,648 | 22 | 71,296 |
Tags: greedy, math, number theory
Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
b=[0]*100001
c=[]
for i in a:
b[i]+=1
for i in range(2,100001):
sum=0
for j in range(i,100001,i):
sum+=b[j]
c.append(sum)
print(max(max(c),1))
``` | output | 1 | 35,648 | 22 | 71,297 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he plea... | instruction | 0 | 35,649 | 22 | 71,298 |
Tags: greedy, math, number theory
Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
ans = 1
count = [0] * 100001
for i in a:
count[i] += 1
for i in range(2, 100001):
s = 0
for j in range(i, 100001, i):
s += count[j]
ans = max(ans, s)
print(ans)
``` | output | 1 | 35,649 | 22 | 71,299 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he plea... | instruction | 0 | 35,650 | 22 | 71,300 |
Tags: greedy, math, number theory
Correct Solution:
```
n=int(input())
d={}
l=list(map(int,input().split()))
for i in range(n):
x=int(l[i]**0.5)+1
for j in range(2,x):
if l[i]%j==0:
d[j]=d.get(j,0)+1
while l[i]%j==0:
l[i]//=j
if l[i]>1:
d[l[i]]=d.get(l[i],0)+1... | output | 1 | 35,650 | 22 | 71,301 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he plea... | instruction | 0 | 35,651 | 22 | 71,302 |
Tags: greedy, math, number theory
Correct Solution:
```
n = int(input())
s = map(int, input().split())
pf = [[] for _ in range(10 ** 5 + 1)]
for i in range(2, 10 ** 5 + 1):
if len(pf[i]) > 0:
continue
for j in range(i, 10 ** 5 + 1, i):
pf[j].append(i)
f = [0] * (10 ** 5 + 1)
for x in s:
f... | output | 1 | 35,651 | 22 | 71,303 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Recently Billy studied the concept of a digital r... | instruction | 0 | 36,047 | 22 | 72,094 |
Tags: number theory
Correct Solution:
```
n = int(input())
c = [0] * 9
ans = 0
for i in range(1, n + 1):
ans -= n // i
c[i % 9] += 1
for i in range(9):
for j in range(9):
ans += c[i] * c[j] * c[i * j % 9]
print(ans)
``` | output | 1 | 36,047 | 22 | 72,095 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Recently Billy studied the concept of a digital r... | instruction | 0 | 36,048 | 22 | 72,096 |
Tags: number theory
Correct Solution:
```
n, ans, a = int(input()), 0, [0] * 10
for i in range(1, n + 1):
ans -= int(n/i)
a[i % 9] += 1
for i in range(9):
for j in range(9):
ans += a[i] * a[j] * a[(i * j) % 9]
print(ans)
``` | output | 1 | 36,048 | 22 | 72,097 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Recently Billy studied the concept of a digital r... | instruction | 0 | 36,049 | 22 | 72,098 |
Tags: number theory
Correct Solution:
```
def main():
ans = 0
a = [0] * 10
n = int(input())
for i in range (1, 9):
a[i] = n // 9 + int(n % 9 >= i)
a[9] = n // 9
for i in range(1, 10):
for j in range(1, 10):
k = i * j % 9
if k == 0:
k ... | output | 1 | 36,049 | 22 | 72,099 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Recently Billy studied the concept of a digital r... | instruction | 0 | 36,050 | 22 | 72,100 |
Tags: number theory
Correct Solution:
```
__author__ = 'Darren'
# d(x) = (x-1) % 9 + 1
def solve():
n = int(input())
# count[i]: the number of x's in [1,n] such that d(x) = i
count = [0] * 10
for i in range((n-1) % 9 + 2):
count[i] = (n + 8) // 9
for i in range((n-1) % 9 + 2, 10):
... | output | 1 | 36,050 | 22 | 72,101 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Recently Billy studied the concept of a digital r... | instruction | 0 | 36,051 | 22 | 72,102 |
Tags: number theory
Correct Solution:
```
__author__ = 'Darren'
# d(x) = (x-1) % 9 + 1
def solve():
n = int(input())
# count[i]: the number of x's in [1,n] such that d(x) = i
count = [0] * 10
for i in range((n-1) % 9 + 2):
count[i] = (n + 8) // 9
for i in range((n-1) % 9 + 2, 1... | output | 1 | 36,051 | 22 | 72,103 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Recently Billy studied the concept of a digital r... | instruction | 0 | 36,052 | 22 | 72,104 |
Tags: number theory
Correct Solution:
```
def digital_root(x: int) -> int:
if x <= 9:
return x
tot = 0
while x:
tot += x % 10
x //= 10
return digital_root(tot)
n = int(input())
counts = [0]*10
d = [0]*(n+1)
for i in range(1,n+1):
d[i] = digital_root(i)
counts[d[i]] +... | output | 1 | 36,052 | 22 | 72,105 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Recently Billy studied the concept of a digital r... | instruction | 0 | 36,053 | 22 | 72,106 |
Tags: number theory
Correct Solution:
```
def main():
ans = 0
a = [0] * 10
n = int(input())
for i in range (0, 9):
a[i] = n // 9 + int(n % 9 >= i)
a[0] -= 1
for i in range(0, 9):
for j in range(0, 9):
k = i * j % 9
ans += a[i] * a[j] * a[k]
... | output | 1 | 36,053 | 22 | 72,107 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Not long ago Billy came across such a problem, where there were given three natural numbers A, B and C from the range [1, N], and it was asked to check whether the equation AB = C is correct. Re... | instruction | 0 | 36,056 | 22 | 72,112 |
Yes | output | 1 | 36,056 | 22 | 72,113 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,410 | 22 | 72,820 |
Tags: brute force, implementation, math
Correct Solution:
```
p, q = map(int,input().split())
n = int(input())
l = list(map(int, input().split()))
for i in l:
if q == 0 or i > p // q:
print('NO')
exit()
p -= i * q
p, q = q, p
print('YES' if q == 0 else 'NO')
``` | output | 1 | 36,410 | 22 | 72,821 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,411 | 22 | 72,822 |
Tags: brute force, implementation, math
Correct Solution:
```
p,q=list(map(int,input().split()))
n=int(input())
ara= list(map(int,input().split()))
b=0
a=1
l=0
for i in ara[::-1]:
l=a
a=(i*a)+b
b=l
#print(a*q,b*p)
if a*q==b*p:
print("YES")
else:
print("NO")
``` | output | 1 | 36,411 | 22 | 72,823 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,412 | 22 | 72,824 |
Tags: brute force, implementation, math
Correct Solution:
```
from decimal import *
getcontext().prec = 75
p = input().split()
n = int(input())
c = input().split()
a='0'
for i in range(n-1,0,-1):
a=str(Decimal(a)+Decimal(c[i]))
a=str(Decimal('1')/Decimal(str(a)))
a=str(Decimal(a)+Decimal(c[0]))
b=str(De... | output | 1 | 36,412 | 22 | 72,825 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,413 | 22 | 72,826 |
Tags: brute force, implementation, math
Correct Solution:
```
p,q=tuple(map(int,input().split()))
n1=input().split()
n=int(n1[0])
a=list(map(int,input().split()))
x=1
y=a[n-1]
for i in range (n-2,-1,-1):
x1=a[i]*y+x
x=y
y=x1
if p*x==q*y:
print('YES')
else:
print('NO')
``` | output | 1 | 36,413 | 22 | 72,827 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,414 | 22 | 72,828 |
Tags: brute force, implementation, math
Correct Solution:
```
P,Q=map(int,input().split())
n=int(input())
a = [int(i) for i in input().split()]
p=[]
q=[]
p.append(a[0])
q.append(1)
if (n==1):
if(p[0]*Q==q[0]*P):
print("YES")
else:
print("NO")
else:
p.append(a[1]*a[0]+1)
q.append(a[1])
... | output | 1 | 36,414 | 22 | 72,829 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,415 | 22 | 72,830 |
Tags: brute force, implementation, math
Correct Solution:
```
from fractions import Fraction
pq = Fraction(*map(int, input().split()))
input()
a = list(map(int, input().split()))
a.reverse()
f = Fraction(a[0], 1)
for i in a[1:]:
f = i + Fraction(1, f)
if pq == f:
print("YES")
else:
print("NO")
``` | output | 1 | 36,415 | 22 | 72,831 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,416 | 22 | 72,832 |
Tags: brute force, implementation, math
Correct Solution:
```
p, q = map(int, input().split())
n = int(input())
A = list(map(int, input().split()))
for i in range(n):
p, q = q, p - A[i] * q
if p != 0 and q == 0:
print('YES')
else:
print('NO')
# Made By Mostafa_Khaled
``` | output | 1 | 36,416 | 22 | 72,833 |
Provide tags and a correct Python 3 solution for this coding contest problem.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height n. Check if they are equal.
Input
The first l... | instruction | 0 | 36,417 | 22 | 72,834 |
Tags: brute force, implementation, math
Correct Solution:
```
def gcd(a,b):
if(b==0):
return a
return gcd(b,a%b)
p,q=map(int,input().split())
N=int(input())
A=list(map(int,input().split()))
znam=1
chisl=A[N-1]
for i in range (N-1,0,-1):
chisl,znam=znam,chisl
#print(chisl,znam)
chisl += znam... | output | 1 | 36,417 | 22 | 72,835 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height ... | instruction | 0 | 36,418 | 22 | 72,836 |
Yes | output | 1 | 36,418 | 22 | 72,837 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A continued fraction of height n is a fraction of form <image>. You are given two rational numbers, one is represented as <image> and the other one is represented as a finite fraction of height ... | instruction | 0 | 36,419 | 22 | 72,838 |
Yes | output | 1 | 36,419 | 22 | 72,839 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Stepan has a very big positive integer.
Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. ... | instruction | 0 | 36,569 | 22 | 73,138 |
Tags: *special, math, number theory
Correct Solution:
```
s = input()
m = int(input())
pw = [0] * (len(s) + 1)
pw[0] = 1
for i in range(1, len(s) + 1):
pw[i] = pw[i - 1] * 10 % m
cur = 0
for i in range(len(s)):
cur *= 10
cur += ord(s[i]) - ord('0')
cur %= m
ans = cur
for i in range(1, len(s)):
cur *= 10
cur %= m... | output | 1 | 36,569 | 22 | 73,139 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Stepan has a very big positive integer.
Let's consider all cyclic shifts of Stepan's integer (if we look at his integer like at a string) which are also integers (i.e. they do not have leading zeros). Let's call such shifts as good shifts. ... | instruction | 0 | 36,570 | 22 | 73,140 |
Tags: *special, math, number theory
Correct Solution:
```
s=input()
m=int(input())
N=int(s)
MIN=N%m
L=len(s)-1
temp1=N
temp2=0
big=pow(10,L,m)
for i in range(0,len(s)-1):
temp2*=10
temp2+=int(s[i])
temp2%=m
temp1-=big*int(s[i])
temp1*=10
temp1%=m
temp=temp1+temp2
#print(temp1,temp2)
... | output | 1 | 36,570 | 22 | 73,141 |
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