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.
Ivan has number b. He is sorting through the numbers a from 1 to 10^{18}, and for every a writes ([a, b])/(a) on blackboard. Here [a, b] stands for least common multiple of a and b. Ivan is very lazy, that's why this task bored him soo... | instruction | 0 | 90,953 | 22 | 181,906 |
Tags: math, number theory
Correct Solution:
```
b=int(input())
import math
def cd(n) :
cnt = 0
for i in range(1, (int)(math.sqrt(n)) + 1) :
if (n % i == 0) :
# If divisors are equal,
# count only one
if (n / i == i) :
cnt = cnt + 1... | output | 1 | 90,953 | 22 | 181,907 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has number b. He is sorting through the numbers a from 1 to 10^{18}, and for every a writes ([a, b])/(a) on blackboard. Here [a, b] stands for least common multiple of a and b. Ivan is very lazy, that's why this task bored him soo... | instruction | 0 | 90,954 | 22 | 181,908 |
Tags: math, number theory
Correct Solution:
```
def prime(b):
i = 1
if b == 1:
return 1
count = 0
while i * i <= b:
if b % i == 0:
if i * i != b:
count += 2
else:
count += 1
i += 1
return count
b = int(input())
print(pri... | output | 1 | 90,954 | 22 | 181,909 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ivan has number b. He is sorting through the numbers a from 1 to 10^{18}, and for every a writes ([a, b])/(a) on blackboard. Here [a, b] stands for least common multiple of a and b. Ivan is very lazy, that's why this task bored him soo... | instruction | 0 | 90,957 | 22 | 181,914 |
Tags: math, number theory
Correct Solution:
```
def divisors(n):
divisior = 0
for i in range(1,int(n**0.5)+1):
if n%i==0:
if n/i==i:
divisior+=1
else:
divisior+=2
return divisior
print (divisors(int(input())))
``` | output | 1 | 90,957 | 22 | 181,915 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,382 | 22 | 182,764 |
Tags: constructive algorithms, math
Correct Solution:
```
from random import getrandbits as R
rb=lambda:R(1)
def modu(p,q):
if len(q)==1:
return [0]
p=p[:]
for d in range(len(p)-1,len(q)-2,-1):
#print(d)
a = p.pop()
b = q[-1]
B = [-k*a/b for k in q[:-1]]
#pr... | output | 1 | 91,382 | 22 | 182,765 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,383 | 22 | 182,766 |
Tags: constructive algorithms, math
Correct Solution:
```
a_coeffs = [1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, -1, ... | output | 1 | 91,383 | 22 | 182,767 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,384 | 22 | 182,768 |
Tags: constructive algorithms, math
Correct Solution:
```
"""
NTC here
"""
import sys
inp= sys.stdin.readline
input = lambda : inp().strip()
flush= sys.stdout.flush
# import threading
# sys.setrecursionlimit(10**6)
# threading.stack_size(2**25)
def iin(): return int(input())
def lin(): return list(map(int, input().spl... | output | 1 | 91,384 | 22 | 182,769 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,385 | 22 | 182,770 |
Tags: constructive algorithms, math
Correct Solution:
```
def divisors(M):
d=[]
i=1
while M>=i**2:
if M%i==0:
d.append(i)
if i**2!=M:
d.append(M//i)
i=i+1
return d
def popcount(x):
x = x - ((x >> 1) & 0x55555555)
x = (x & 0x33333333) + ((... | output | 1 | 91,385 | 22 | 182,771 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,386 | 22 | 182,772 |
Tags: constructive algorithms, math
Correct Solution:
```
import sys
n = int(sys.stdin.readline().split()[0])
class Polynomial:
def __init__(self, coef):
first_nonzero = False
index = len(coef) - 1
while not first_nonzero:
if not coef[index] == 0:
first_nonzero... | output | 1 | 91,386 | 22 | 182,773 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,387 | 22 | 182,774 |
Tags: constructive algorithms, math
Correct Solution:
```
n = int(input())
a = [1]
b = []
for _ in range(n):
c = [0]+a[:]
d = a[:]
for i,u in enumerate(b): c[i]+=u
a = [u%2 for u in c]
b = [u%2 for u in d]
print(len(a)-1)
print(*a)
print(len(b)-1)
print(*b)
``` | output | 1 | 91,387 | 22 | 182,775 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,388 | 22 | 182,776 |
Tags: constructive algorithms, math
Correct Solution:
```
# python3
# utf-8
n = int(input())
A = [1]
B = []
for _ in range(n):
new_A = [0] + A[:]
new_B = A[:]
for i, b in enumerate(B):
new_A[i] += b
A = [a % 2 for a in new_A]
B = [b % 2 for b in new_B]
print(len(A) - 1)
print(*A)
print(len(... | output | 1 | 91,388 | 22 | 182,777 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipedia.org/wiki/Polynomial_long_division). Here, <... | instruction | 0 | 91,389 | 22 | 182,778 |
Tags: constructive algorithms, math
Correct Solution:
```
n = int(input())
a, b = [1], [0]
for i in range(n):
new_b = a[:]
a1 = a[:]
a2 = a[:]
a1.append(0)
a2.append(0)
for i in range(-1, -len(b) - 1, -1):
a1[i] += b[i]
for i in range(-1, -len(b) - 1, -1):
a2[i] -= b[i]
if max([abs(kek) for kek in a1]) < ... | output | 1 | 91,389 | 22 | 182,779 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,390 | 22 | 182,780 |
Yes | output | 1 | 91,390 | 22 | 182,781 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,391 | 22 | 182,782 |
Yes | output | 1 | 91,391 | 22 | 182,783 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,392 | 22 | 182,784 |
Yes | output | 1 | 91,392 | 22 | 182,785 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,393 | 22 | 182,786 |
Yes | output | 1 | 91,393 | 22 | 182,787 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,394 | 22 | 182,788 |
No | output | 1 | 91,394 | 22 | 182,789 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,395 | 22 | 182,790 |
No | output | 1 | 91,395 | 22 | 182,791 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,396 | 22 | 182,792 |
No | output | 1 | 91,396 | 22 | 182,793 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Suppose you have two polynomials <image> and <image>. Then polynomial <image> can be uniquely represented in the following way:
<image>
This can be done using [long division](https://en.wikipe... | instruction | 0 | 91,397 | 22 | 182,794 |
No | output | 1 | 91,397 | 22 | 182,795 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array consisting of n integers a_1, a_2, ..., a_n, and a positive integer m. It is guaranteed that m is a divisor of n.
In a single move, you can choose any position i between 1 and n and increase a_i by 1.
Let's calculate... | instruction | 0 | 91,431 | 22 | 182,862 |
Tags: data structures, greedy, implementation
Correct Solution:
```
from collections import defaultdict
n,m = map(int,input().split())
k = n//m
l = list(map(int,input().split()))
s = sum(l)
#mod_list = []
occ = defaultdict(list)
for i,a in enumerate(l):
rem = a%m
occ[rem].append(i)
#mod_list.append(rem)
j... | output | 1 | 91,431 | 22 | 182,863 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array consisting of n integers a_1, a_2, ..., a_n, and a positive integer m. It is guaranteed that m is a divisor of n.
In a single move, you can choose any position i between 1 and n and increase a_i by 1.
Let's calculate... | instruction | 0 | 91,436 | 22 | 182,872 |
Tags: data structures, greedy, implementation
Correct Solution:
```
n, m = map(int, input().split())
a = list(map(int, input().split()))
s = [[] for _ in range(m)]
for i in range(n):
s[a[i] % m].append(i)
f = []
c = 0
for _ in range(2):
for i in range(m):
while len(s[i]) > n // m:
f.appen... | output | 1 | 91,436 | 22 | 182,873 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There is a square matrix n × n, consisting of non-negative integer numbers. You should find such a way on it that
* starts in the upper left cell of the matrix;
* each following cell is to the right or down from the current cell;
*... | instruction | 0 | 92,055 | 22 | 184,110 |
Tags: dp, math
Correct Solution:
```
#2B - The least round way
n = int(input())
m = []
for i in range(n):
m.append(list(map(int, input().split())))
#Empty nxn matrix for the divisors of 2
div2 = [[0 for i in range(n)] for ii in range(n)]
#Empty nxn matrix for the divisors of 5
div5 = [[0 for i in range(n)] for ii i... | output | 1 | 92,055 | 22 | 184,111 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,267 | 22 | 184,534 |
Tags: dp, greedy, math
Correct Solution:
```
a=int(input())
b=int(input())
if(a>=b):
if((a-b)%2==1):
print(-1)
exit(0)
f=b
s=(a-b)//2
t=s
if((f^s)==f+s):
print(t,end=" ")
print(f+s)
exit(0)
if((f^t)==f+t):
print(s,end=" ")
print(f+t)... | output | 1 | 92,267 | 22 | 184,535 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,268 | 22 | 184,536 |
Tags: dp, greedy, math
Correct Solution:
```
A = int(input())
B = int(input())
x = (A - B)//2
y = x ^ B
if x + y == A and x ^ y == B:
print(x,y)
else:
print(-1)
``` | output | 1 | 92,268 | 22 | 184,537 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,269 | 22 | 184,538 |
Tags: dp, greedy, math
Correct Solution:
```
A = int(input())
B = int(input())
if A < B:
print(-1)
else:
v = A - B
if v%2 :
print(-1)
else:
v //=2
if B&v:
print(-1)
else:
print(f'{v} {v+B}')
``` | output | 1 | 92,269 | 22 | 184,539 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,270 | 22 | 184,540 |
Tags: dp, greedy, math
Correct Solution:
```
a, b = int(input()), int(input())
x, y = (a - b) >> 1, (a - b) // 2 + b
if a < b or (a + b) & 1 or x & (a - x) != x:
print("-1")
else: print(x, y)
``` | output | 1 | 92,270 | 22 | 184,541 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,271 | 22 | 184,542 |
Tags: dp, greedy, math
Correct Solution:
```
_a = int(input())
_b = int(input())
A = bin(_a)[2:]
B = bin(_b)[2:]
if len(A) < len(B):
A,B = B,A
B = "0"*(len(A) - len(B)) + B
X = ""
Y = ""
need_carry = False
for a,b in zip(A,B):
if a + b == "11":
X += "0"
Y += "1"
elif a + b == "10":
if need_carry:
... | output | 1 | 92,271 | 22 | 184,543 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,272 | 22 | 184,544 |
Tags: dp, greedy, math
Correct Solution:
```
#Code by Sounak, IIESTS
#------------------------------warmup----------------------------
import os
import sys
import math
from io import BytesIO, IOBase
from fractions import Fraction
from collections import defaultdict
BUFSIZE = 8192
class FastIO(IOBase):
newli... | output | 1 | 92,272 | 22 | 184,545 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,273 | 22 | 184,546 |
Tags: dp, greedy, math
Correct Solution:
```
A, B = int(input()), int(input())
if A < B:
print(-1)
X = (A - B) // 2
Y = X + B
if X + Y != A or X^Y != B:
print(-1)
else:
print(X, Y)
``` | output | 1 | 92,273 | 22 | 184,547 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary notation of operands. In other words, a binary dig... | instruction | 0 | 92,274 | 22 | 184,548 |
Tags: dp, greedy, math
Correct Solution:
```
A, B = int(input()), int(input())
#print(*[(A - B) // 2, (A + B) // 2] if A >= B and (A - B) % 2 == 0 else -1)
if A >= B and (A - B) % 2 == 0:
print((A - B) // 2, (A + B) // 2)
else:
print(-1)
``` | output | 1 | 92,274 | 22 | 184,549 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary not... | instruction | 0 | 92,278 | 22 | 184,556 |
Yes | output | 1 | 92,278 | 22 | 184,557 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary not... | instruction | 0 | 92,279 | 22 | 184,558 |
No | output | 1 | 92,279 | 22 | 184,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary not... | instruction | 0 | 92,280 | 22 | 184,560 |
No | output | 1 | 92,280 | 22 | 184,561 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bitwise exclusive OR (or bitwise addition modulo two) is a binary operation which is equivalent to applying logical exclusive OR to every pair of bits located on the same positions in binary not... | instruction | 0 | 92,282 | 22 | 184,564 |
No | output | 1 | 92,282 | 22 | 184,565 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,694 | 22 | 185,388 |
Tags: math, number theory
Correct Solution:
```
for j in range(int(input())):
(x,y) = [int(e) for e in input().split()]
if x-y == 1:
print("NO")
else:
print("YES")
``` | output | 1 | 92,694 | 22 | 185,389 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,695 | 22 | 185,390 |
Tags: math, number theory
Correct Solution:
```
for _ in " "*int(input()):a,b=map(int,input().split());print("YES" if a-b!=1 else "NO")
``` | output | 1 | 92,695 | 22 | 185,391 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,696 | 22 | 185,392 |
Tags: math, number theory
Correct Solution:
```
for i in range(int(input())):
m = list(map(int,input().split()))
if m[0]-m[1] == 1:
print("NO")
else:
print("YES")
``` | output | 1 | 92,696 | 22 | 185,393 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,697 | 22 | 185,394 |
Tags: math, number theory
Correct Solution:
```
def f():
n = int(input())
for _ in range(n):
a,b = map(int, input().split())
print("YES" if a-b > 1 else "NO")
f()
``` | output | 1 | 92,697 | 22 | 185,395 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,698 | 22 | 185,396 |
Tags: math, number theory
Correct Solution:
```
t = int(input())
for j in range(1, t + 1):
x = list(map(int, input().split()))
c = x[0] - x[1]
if c == 1:
print('NO')
else:
print('YES')
``` | output | 1 | 92,698 | 22 | 185,397 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,699 | 22 | 185,398 |
Tags: math, number theory
Correct Solution:
```
for _ in range(int(input())):
x, y = [int(x) for x in input().split()]
print(["No", "Yes"][x-y>1])
``` | output | 1 | 92,699 | 22 | 185,399 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,700 | 22 | 185,400 |
Tags: math, number theory
Correct Solution:
```
de = [2,3,5,7,11]
for i in range(int(input())):
a,b = map(int,input().split())
c = a-b
if c%2 == 1 and c>1:
c-=3
print('YES' if c%2 == 0 else 'NO')
``` | output | 1 | 92,700 | 22 | 185,401 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that a prime number is a positive integer that has ... | instruction | 0 | 92,701 | 22 | 185,402 |
Tags: math, number theory
Correct Solution:
```
t = int(input())
for _ in range(t):
a, b = [int(i) for i in input().split()]
if a - 2 >= b:
print("YES")
else:
print("NO")
``` | output | 1 | 92,701 | 22 | 185,403 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,702 | 22 | 185,404 |
Yes | output | 1 | 92,702 | 22 | 185,405 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,703 | 22 | 185,406 |
Yes | output | 1 | 92,703 | 22 | 185,407 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,704 | 22 | 185,408 |
Yes | output | 1 | 92,704 | 22 | 185,409 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,705 | 22 | 185,410 |
Yes | output | 1 | 92,705 | 22 | 185,411 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,706 | 22 | 185,412 |
No | output | 1 | 92,706 | 22 | 185,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,707 | 22 | 185,414 |
No | output | 1 | 92,707 | 22 | 185,415 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,708 | 22 | 185,416 |
No | output | 1 | 92,708 | 22 | 185,417 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers x and y (it is guaranteed that x > y). You may choose any prime integer p and subtract it any number of times from x. Is it possible to make x equal to y?
Recall that... | instruction | 0 | 92,709 | 22 | 185,418 |
No | output | 1 | 92,709 | 22 | 185,419 |
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