message stringlengths 2 57.2k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 61 108k | cluster float64 22 22 | __index_level_0__ int64 122 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
It is known that even numbers greater than or equal to 4 can be represented by the sum of two prime numbers. This is called the Goldbach's conjecture, and computer calculations have confirmed th... | instruction | 0 | 51,223 | 22 | 102,446 |
No | output | 1 | 51,223 | 22 | 102,447 |
Provide tags and a correct Python 2 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,497 | 22 | 102,994 |
Tags: data structures, math, number theory
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
from fractions import gcd
raw_input = stdin.readline
pr = stdout.write
mod=10**9+7
def ni():
return int(raw_input())
def li(... | output | 1 | 51,497 | 22 | 102,995 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,498 | 22 | 102,996 |
Tags: data structures, math, number theory
Correct Solution:
```
import math
def lcm(a,b):
return a*b//(math.gcd(a,b))
n=int(input())
a=list(map(int,input().split()))
b=a[:]
for i in range(n-2,-1,-1):
b[i]=math.gcd(b[i+1],b[i])
for i in range(n-1):
b[i+1]=lcm(a[i],b[i+1])
ans=0
for i in range(1,n):
an... | output | 1 | 51,498 | 22 | 102,997 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,499 | 22 | 102,998 |
Tags: data structures, math, number theory
Correct Solution:
```
n = int(input())
arr = list(map(int, input().split()))
def gcd(a, b):
if b == 0:
return a
return gcd(b, a % b)
arr.insert(0, 0)
pre = [0] * (n+1)
suf = [0] * (n+1)
pre[1] = arr[1]
suf[n] = arr[n]
for i in range(2, n + 1):
pre[i] = ... | output | 1 | 51,499 | 22 | 102,999 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,500 | 22 | 103,000 |
Tags: data structures, math, number theory
Correct Solution:
```
import math
def LCM(a, b):
return (a * b)//math.gcd(a, b)
n = int(input())
arr = list(map(int, input().split()))
suffix_arr = [1] * n
suffix_arr[-1] = arr[n-1]
for i in range(n-2, -1, -1):
suffix_arr[i] = math.gcd(arr[i], suffix_arr[i+1])
... | output | 1 | 51,500 | 22 | 103,001 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,501 | 22 | 103,002 |
Tags: data structures, math, number theory
Correct Solution:
```
from collections import Counter,defaultdict,deque
from math import gcd
import sys
input=sys.stdin.readline
#sys.setrecursionlimit(2**30)
def lcm(a,b):
return a*b//gcd(a,b)
def solve():
n = int(input())
arr = [int(x) for x in input().split()]
... | output | 1 | 51,501 | 22 | 103,003 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,502 | 22 | 103,004 |
Tags: data structures, math, number theory
Correct Solution:
```
from math import gcd
n=int(input())
l=list(map(int,input().split()))
g=[1]*(n+1)
g[n]=l[n-1]
for i in range(n-1,-1,-1):
g[i]=gcd(g[i+1],l[i])
# print(g)
ans=(g[1]*l[0])//gcd(l[0],g[1])
for i in range(n-1):
ans=gcd(ans,(l[i]*g[i+1])//(gcd(l[i],g[i+... | output | 1 | 51,502 | 22 | 103,005 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,503 | 22 | 103,006 |
Tags: data structures, math, number theory
Correct Solution:
```
n = int(input())
arr = [int(x) for x in input().split()]
import math
if n==2:
arr.sort()
if (arr[1]%arr[0]!=0):
x = (arr[1]*arr[0])//math.gcd(arr[1],arr[0])
print(x)
exit()
gcc = []
gcc.append(arr[n-1])
gcc.append(math.gcd... | output | 1 | 51,503 | 22 | 103,007 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,504 | 22 | 103,008 |
Tags: data structures, math, number theory
Correct Solution:
```
# HEY STALKER
import math
n = int(input())
l = list(map(int, input().split()))
dp = [0 for ti in range(n+1)]
ans = 0
dp[n] = l[n-1]
for i in range(n-1, 0, -1):
dp[i] = math.gcd(l[i-1], dp[i+1])
ans = math.gcd(ans, l[i-1]*dp[i+1]//dp[i])
print(ans)... | output | 1 | 51,504 | 22 | 103,009 |
Provide tags and a correct Python 3 solution for this coding contest problem.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive integer x, such that all integers in s are divisible ... | instruction | 0 | 51,505 | 22 | 103,010 |
Tags: data structures, math, number theory
Correct Solution:
```
import math
from collections import defaultdict,Counter
# Function to calculate all the prime
# factors and count of every prime factor
def f(n):
count = 0;
d=defaultdict(int)
# count the number of
# times 2 divides
while ((n... | output | 1 | 51,505 | 22 | 103,011 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,506 | 22 | 103,012 |
Yes | output | 1 | 51,506 | 22 | 103,013 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,507 | 22 | 103,014 |
Yes | output | 1 | 51,507 | 22 | 103,015 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,508 | 22 | 103,016 |
Yes | output | 1 | 51,508 | 22 | 103,017 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,509 | 22 | 103,018 |
Yes | output | 1 | 51,509 | 22 | 103,019 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,510 | 22 | 103,020 |
No | output | 1 | 51,510 | 22 | 103,021 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,511 | 22 | 103,022 |
No | output | 1 | 51,511 | 22 | 103,023 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,512 | 22 | 103,024 |
No | output | 1 | 51,512 | 22 | 103,025 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For the multiset of positive integers s=\\{s_1,s_2,...,s_k\}, define the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of s as follow:
* \gcd(s) is the maximum positive intege... | instruction | 0 | 51,513 | 22 | 103,026 |
No | output | 1 | 51,513 | 22 | 103,027 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,590 | 22 | 103,180 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
def t_prime(lst):
primes, st = [0] * int(1e6), set()
for i in range(2, int(1e6)):
if not primes[i]:
st.add(i * i)
primes[i * i::i] = [1] * len(primes[i * i::i])
a = list()
for elem in lst:
... | output | 1 | 51,590 | 22 | 103,181 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,591 | 22 | 103,182 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
input()
l=1000002
c=[1,1]+[0]*l
for i in range(2,l):
if 1-c[i]:
for j in range(i*i,l,i):c[j]=1
for i in input().split():
i=int(i)
r=int(i**0.5)
print("YNEOS"[c[r]or r*r!=i::2])
``` | output | 1 | 51,591 | 22 | 103,183 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,592 | 22 | 103,184 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
import math
n=int(input())
X=input()
X=X.split(" ")
N=[]
for i in range(1000001):
N.append("NO")
N[1]="YES"
for i in range(2,1000001):
if N[i]=="NO":
for j in range(2*i,1000001,i):
N[j]="YES"
for i in range(0,n):
x=int(X[i])
y=int(... | output | 1 | 51,592 | 22 | 103,185 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,593 | 22 | 103,186 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
import math
input()
L = list(map(int, input().split(" ")))
def is_prime(n):
if n == 1: return False
if n == 2: return True
k = 2
while k * k <= n:
if n % k == 0:
return False
k += 1
return ... | output | 1 | 51,593 | 22 | 103,187 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,594 | 22 | 103,188 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
# https://blog.dotcpp.com/a/69737
def oula(r):
prime = [0 for i in range(r+1)]
common = []
for i in range(2, r+1):
if prime[i] == 0:
common.append(i)
for j in common:
if i*j > r:
... | output | 1 | 51,594 | 22 | 103,189 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,595 | 22 | 103,190 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
def is_prime(x):
l = [True] * (int(x)+1)
l[0] = l[1] = False
for p in range(2,int(x)):
if l[p] == True:
for _ in range(p*2, int(x),p):
l[_] = False
return l[1:]
tkpl = is_prime(1000000)
n... | output | 1 | 51,595 | 22 | 103,191 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,596 | 22 | 103,192 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
def cal_primeflag():
primeflag=[0]*1000000
primeflag[0]=primeflag[1]=1;
for i in range(1000000):
if (primeflag[i]==0):
for j in range(i*i,1000000,i):
primeflag[j]=1
return primeflag
n=in... | output | 1 | 51,596 | 22 | 103,193 |
Provide tags and a correct Python 3 solution for this coding contest problem.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive divisors.
You are given an array of n positive i... | instruction | 0 | 51,597 | 22 | 103,194 |
Tags: binary search, implementation, math, number theory
Correct Solution:
```
#!/usr/bin/env python
# coding=utf-8
import math
t_list = [1]*1000001
t_list[0] = 0
t_list[1] = 0
for i in range(2, 1000):
if t_list[i] == 0:
continue
j = i*i
while j <= 1000000:
t_list[j] = 0
j += i
inp... | output | 1 | 51,597 | 22 | 103,195 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,598 | 22 | 103,196 |
Yes | output | 1 | 51,598 | 22 | 103,197 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,599 | 22 | 103,198 |
Yes | output | 1 | 51,599 | 22 | 103,199 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,600 | 22 | 103,200 |
Yes | output | 1 | 51,600 | 22 | 103,201 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,601 | 22 | 103,202 |
Yes | output | 1 | 51,601 | 22 | 103,203 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,602 | 22 | 103,204 |
No | output | 1 | 51,602 | 22 | 103,205 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,603 | 22 | 103,206 |
No | output | 1 | 51,603 | 22 | 103,207 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,604 | 22 | 103,208 |
No | output | 1 | 51,604 | 22 | 103,209 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer t Т-prime, if t has exactly three distinct positive di... | instruction | 0 | 51,605 | 22 | 103,210 |
No | output | 1 | 51,605 | 22 | 103,211 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's assume that
* v(n) is the largest prime number, that does not exceed n;
* u(n) is the smallest prime number strictly greater than n.
Find <image>.
Input
The first line contains integer t (1 ≤ t ≤ 500) — the number of testsc... | instruction | 0 | 51,671 | 22 | 103,342 |
Tags: math, number theory
Correct Solution:
```
T = int( input() )
MAX = 33000
bePrime = [0] * MAX;
primNum = []
for j in range(2, MAX):
if bePrime[j] == 0:
primNum.append( j )
i = j
while i < MAX:
bePrime[i] = 1
i = i + j
def isPrime( a ):
for j in primNum:
... | output | 1 | 51,671 | 22 | 103,343 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's assume that
* v(n) is the largest prime number, that does not exceed n;
* u(n) is the smallest prime number strictly greater than n.
Find <image>.
Input
The first line contains integer t (1 ≤ t ≤ 500) — the number of testsc... | instruction | 0 | 51,672 | 22 | 103,344 |
Tags: math, number theory
Correct Solution:
```
def prime(n):
m = int(n ** 0.5) + 1
t = [1] * (n + 1)
for i in range(3, m):
if t[i]: t[i * i :: 2 * i] = [0] * ((n - i * i) // (2 * i) + 1)
return [2] + [i for i in range(3, n + 1, 2) if t[i]]
def gcd(a, b):
c = a % b
return gcd(b, c) if c... | output | 1 | 51,672 | 22 | 103,345 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's assume that
* v(n) is the largest prime number, that does not exceed n;
* u(n) is the smallest prime number strictly greater than n.
Find <image>.
Input
The first line contains integer t (1 ≤ t ≤ 500) — the number of testsc... | instruction | 0 | 51,673 | 22 | 103,346 |
Tags: math, number theory
Correct Solution:
```
T = int( input() )
#for every prime x
#(b-a)/ab
#1/a-1/b
MAX = 33000
bePrime = [0] * MAX;
primNum = []
for j in range(2, MAX):
if bePrime[j] == 0:
primNum.append( j )
i = j
while i < MAX:
bePrime[i] = 1
i = i + j
d... | output | 1 | 51,673 | 22 | 103,347 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,202 | 22 | 104,404 |
Tags: greedy, math, number theory
Correct Solution:
```
l, r = (int(x) for x in input().split())
answer = []
answer.append("YES")
for i in range(l, r + 1, 2):
pair = str(i) + " " + str(i + 1)
answer.append(pair)
print(*answer, sep='\n')
``` | output | 1 | 52,202 | 22 | 104,405 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,203 | 22 | 104,406 |
Tags: greedy, math, number theory
Correct Solution:
```
l,r = map(int,input().split())
print("YES")
for i in range(l,r+1,2):
print("{} {}".format(i,i+1))
``` | output | 1 | 52,203 | 22 | 104,407 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,204 | 22 | 104,408 |
Tags: greedy, math, number theory
Correct Solution:
```
p,s=map(int,input().split())
print('YES')
for i in range(p,s+1,2):
print(i,i+1)
``` | output | 1 | 52,204 | 22 | 104,409 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,205 | 22 | 104,410 |
Tags: greedy, math, number theory
Correct Solution:
```
#!/usr/bin/env python3
import sys
def rint():
return map(int, sys.stdin.readline().split())
#lines = stdin.readlines()
l, r = rint()
print("YES")
for i in range((r-l+1)//2):
print(l+2*i, l+2*i+1)
``` | output | 1 | 52,205 | 22 | 104,411 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,206 | 22 | 104,412 |
Tags: greedy, math, number theory
Correct Solution:
```
# ip=list(map(int,sys.stdin.readline().strip().split()))
import sys
a,b=list(map(int,sys.stdin.readline().strip().split()))
print("YES")
for i in range(a,b+1,2):
print(i,i+1)
``` | output | 1 | 52,206 | 22 | 104,413 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,207 | 22 | 104,414 |
Tags: greedy, math, number theory
Correct Solution:
```
a, b = [int(x) for x in input().split()]
print('YES')
for i in range(int((b-a+1)/2)):
x = a + i * 2
y = a + i * 2 + 1
print(f'{x} {y}')
``` | output | 1 | 52,207 | 22 | 104,415 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,208 | 22 | 104,416 |
Tags: greedy, math, number theory
Correct Solution:
```
a,b = map(int,input().split())
if (a-b+1)%2==0:
print('YES')
for i in range(a,b+1,2):
print(i,i+1)
else:
print('No')
``` | output | 1 | 52,208 | 22 | 104,417 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a way that for each pair (i, j) the greatest comm... | instruction | 0 | 52,209 | 22 | 104,418 |
Tags: greedy, math, number theory
Correct Solution:
```
r,l=[int(i) for i in input().split()]
print("YES")
for i in range(r,l,2):
print(i,i+1)
``` | output | 1 | 52,209 | 22 | 104,419 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,210 | 22 | 104,420 |
Yes | output | 1 | 52,210 | 22 | 104,421 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,211 | 22 | 104,422 |
Yes | output | 1 | 52,211 | 22 | 104,423 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,212 | 22 | 104,424 |
Yes | output | 1 | 52,212 | 22 | 104,425 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,213 | 22 | 104,426 |
Yes | output | 1 | 52,213 | 22 | 104,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a set of all integers from l to r inclusive, l < r, (r - l + 1) ≤ 3 ⋅ 10^5 and (r - l) is always odd.
You want to split these numbers into exactly (r - l + 1)/(2) pairs in such a ... | instruction | 0 | 52,214 | 22 | 104,428 |
No | output | 1 | 52,214 | 22 | 104,429 |
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