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.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ord... | instruction | 0 | 20,824 | 22 | 41,648 |
No | output | 1 | 20,824 | 22 | 41,649 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ord... | instruction | 0 | 20,825 | 22 | 41,650 |
No | output | 1 | 20,825 | 22 | 41,651 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ord... | instruction | 0 | 20,826 | 22 | 41,652 |
No | output | 1 | 20,826 | 22 | 41,653 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Ralph has a magic field which is divided into n × m blocks. That is to say, there are n rows and m columns on the field. Ralph can put an integer in each block. However, the magic field doesn't always work properly. It works only if the prod... | instruction | 0 | 20,876 | 22 | 41,752 |
Tags: combinatorics, constructive algorithms, math, number theory
Correct Solution:
```
a, b, c = [int(i) for i in input().split(' ')]
def exp_mod_prime(x, p):
x = x % (p-1)
a = 2
bonus = 1
while x > 1:
if x % 2 == 1:
bonus = (bonus * a) % p
a = (a * a) % p
x = x // ... | output | 1 | 20,876 | 22 | 41,753 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,898 | 22 | 41,796 |
Tags: math
Correct Solution:
```
n = eval(input(""))
n = n / 2 + 1
print("%d"%(n))
``` | output | 1 | 20,898 | 22 | 41,797 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,899 | 22 | 41,798 |
Tags: math
Correct Solution:
```
n = int(input())
ans = int(n/2) + 1
print(ans)
``` | output | 1 | 20,899 | 22 | 41,799 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,900 | 22 | 41,800 |
Tags: math
Correct Solution:
```
from math import *
from collections import *
def inp(): return map(int,input().split())
def inp_arr(): return list(map(int,input().split()))
n = int(input())
print(n//2+1)
``` | output | 1 | 20,900 | 22 | 41,801 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,901 | 22 | 41,802 |
Tags: math
Correct Solution:
```
from math import ceil
print(int(int(input())/2)+1)
``` | output | 1 | 20,901 | 22 | 41,803 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,902 | 22 | 41,804 |
Tags: math
Correct Solution:
```
n=int(input())
print(int(n//2+1))
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=0
``` | output | 1 | 20,902 | 22 | 41,805 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,903 | 22 | 41,806 |
Tags: math
Correct Solution:
```
print(int(int(input())/2+1))
``` | output | 1 | 20,903 | 22 | 41,807 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,904 | 22 | 41,808 |
Tags: math
Correct Solution:
```
q = int(input())
a = q//2
print(a+1)
``` | output | 1 | 20,904 | 22 | 41,809 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't spli... | instruction | 0 | 20,905 | 22 | 41,810 |
Tags: math
Correct Solution:
```
n = int(input())
low, high = 1, n
while low < high - 1:
mid = (low + high) // 2
if n // mid > 1:
low = mid
else:
high = mid
print(high)
``` | output | 1 | 20,905 | 22 | 41,811 |
Provide tags and a correct Python 3 solution for this coding contest problem.
In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks.
More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(gcd(a,b)), (b)/(gcd(a,b)) can form sides of a t... | instruction | 0 | 21,391 | 22 | 42,782 |
Tags: binary search, math, number theory, two pointers
Correct Solution:
```
import math
import io
import os
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
#sieve
prime = [True for i in range(10**6+1)]
p = 2
while p ** 2 <= 10**6:
if prime[p]:
for i in range(p**2, 10**6+1, p):
... | output | 1 | 21,391 | 22 | 42,783 |
Provide tags and a correct Python 3 solution for this coding contest problem.
In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks.
More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(gcd(a,b)), (b)/(gcd(a,b)) can form sides of a t... | instruction | 0 | 21,393 | 22 | 42,786 |
Tags: binary search, math, number theory, two pointers
Correct Solution:
```
# This code is contributed by Siddharth
import os, io
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
# setrecursionlimit(10**6)
# from sys import *
import random
from bisect import *
import math
from collections import *
impor... | output | 1 | 21,393 | 22 | 42,787 |
Provide tags and a correct Python 3 solution for this coding contest problem.
In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks.
More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(gcd(a,b)), (b)/(gcd(a,b)) can form sides of a t... | instruction | 0 | 21,394 | 22 | 42,788 |
Tags: binary search, math, number theory, two pointers
Correct Solution:
```
import os,io
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
n = 10**6+1
primes = [1]*n
primes[0],primes[1] = 0,0
v = int(n**0.5)+1
for i in range(2,v):
if primes[i]:
for j in range(i*i,n,i):
primes[j]=0
for... | output | 1 | 21,394 | 22 | 42,789 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks.
More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(... | instruction | 0 | 21,398 | 22 | 42,796 |
Yes | output | 1 | 21,398 | 22 | 42,797 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks.
More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(... | instruction | 0 | 21,403 | 22 | 42,806 |
No | output | 1 | 21,403 | 22 | 42,807 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
In number world, two different numbers are friends if they have a lot in common, but also each one has unique perks.
More precisely, two different numbers a and b are friends if gcd(a,b), (a)/(... | instruction | 0 | 21,404 | 22 | 42,808 |
No | output | 1 | 21,404 | 22 | 42,809 |
Provide tags and a correct Python 3 solution for this coding contest problem.
qd ucyhf yi q fhycu dkcruh mxeiu huluhiu yi q tyvvuhudj fhycu dkcruh. oekh jqia yi je vydt jxu djx ucyhf.
Input
jxu ydfkj sediyiji ev q iydwbu ydjuwuh d (1 ≤ d ≤ 11184) — jxu edu-rqiut ydtun ev jxu ucyhf je vydt.
Output
ekjfkj q iydwbu d... | instruction | 0 | 21,464 | 22 | 42,928 |
Tags: *special, brute force, implementation, number theory
Correct Solution:
```
def prime(x) :
if x == 2 : return 1
if ~ x & 1 : return 0
i = 3
while i * i <= x :
if x % i == 0 : return 0
i += 1
return 1
n = int(input())
cnt = 0
for i in range (2, int(1e9), 1) :
if not prime(i) ... | output | 1 | 21,464 | 22 | 42,929 |
Provide tags and a correct Python 3 solution for this coding contest problem.
qd ucyhf yi q fhycu dkcruh mxeiu huluhiu yi q tyvvuhudj fhycu dkcruh. oekh jqia yi je vydt jxu djx ucyhf.
Input
jxu ydfkj sediyiji ev q iydwbu ydjuwuh d (1 ≤ d ≤ 11184) — jxu edu-rqiut ydtun ev jxu ucyhf je vydt.
Output
ekjfkj q iydwbu d... | instruction | 0 | 21,467 | 22 | 42,934 |
Tags: *special, brute force, implementation, number theory
Correct Solution:
```
N = 1000000
def rev(z):
res = 0
while z:
res *= 10
res += z % 10
z //= 10
return res
def revv(z):
res = rev(z)
if res != z: return res
def rwh_primes_x(n):
sieve = [True] * n
for i in range(3,int(n**0.... | output | 1 | 21,467 | 22 | 42,935 |
Provide tags and a correct Python 3 solution for this coding contest problem.
qd ucyhf yi q fhycu dkcruh mxeiu huluhiu yi q tyvvuhudj fhycu dkcruh. oekh jqia yi je vydt jxu djx ucyhf.
Input
jxu ydfkj sediyiji ev q iydwbu ydjuwuh d (1 ≤ d ≤ 11184) — jxu edu-rqiut ydtun ev jxu ucyhf je vydt.
Output
ekjfkj q iydwbu d... | instruction | 0 | 21,468 | 22 | 42,936 |
Tags: *special, brute force, implementation, number theory
Correct Solution:
```
def primesieve(n):
primes=[2]
table=[0,0,1]+[1,0]*(n//2-1)
if len(table)==n:
table.append(1)
i=3
while i<=n:
if table[i]==1:
primes.append(i)
for k in range(i,n//i+1,2):
... | output | 1 | 21,468 | 22 | 42,937 |
Provide tags and a correct Python 3 solution for this coding contest problem.
qd ucyhf yi q fhycu dkcruh mxeiu huluhiu yi q tyvvuhudj fhycu dkcruh. oekh jqia yi je vydt jxu djx ucyhf.
Input
jxu ydfkj sediyiji ev q iydwbu ydjuwuh d (1 ≤ d ≤ 11184) — jxu edu-rqiut ydtun ev jxu ucyhf je vydt.
Output
ekjfkj q iydwbu d... | instruction | 0 | 21,469 | 22 | 42,938 |
Tags: *special, brute force, implementation, number theory
Correct Solution:
```
import sys
def solve():
d, = rv()
cur = 2
while d > 0:
if isprime(cur):
rev = int(str(cur)[::-1])
if rev != cur and isprime(rev):
d -= 1
if d > 0: cur+=1
print(cur)
... | output | 1 | 21,469 | 22 | 42,939 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., xk is called good if it satisfies the following... | instruction | 0 | 21,491 | 22 | 42,982 |
Tags: dp, number theory
Correct Solution:
```
#!/usr/bin/env python3
from sys import stdin
mem = [0 for i in range(int(1e5+1))]
def solve(tc):
n = int(stdin.readline().strip())
seq = list(map(int, stdin.readline().split()))
if n==1:
print(1)
return
ans = 0
for i in range(n):
... | output | 1 | 21,491 | 22 | 42,983 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., xk is called good if it satisfies the following... | instruction | 0 | 21,494 | 22 | 42,988 |
Tags: dp, number theory
Correct Solution:
```
n=int(input())
a=list(map(int, input().split(" ")))
if(a==[1]*n):
print(1)
else:
primes=[True for i in range(401)]
primes[0]=False
primes[1]=False
for k in range(1, 401):
if(primes[k]==True):
for pro in range(k*k, 401, k):
primes[pro]=False
mine=[]
for ... | output | 1 | 21,494 | 22 | 42,989 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let x be an array of integers x = [x_1, x_2, ..., x_n]. Let's define B(x) as a minimal size of a partition of x into subsegments such that all elements in each subsegment are equal. For example, B([3, 3, 6, 1, 6, 6, 6]) = 4 using next partit... | instruction | 0 | 22,099 | 22 | 44,198 |
Tags: dp, math, probabilities
Correct Solution:
```
from sys import stdin, stdout
p = 10**9+7
def bezout(x, y):
if x < 0:
t = bezout(-x, y)
t[0] = -t[0]
return t
if y < 0:
t = bezout(x, -y)
t[1] = -t[1]
return t
if x > y:
t = bezout(y, x)
tmp... | output | 1 | 22,099 | 22 | 44,199 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let x be an array of integers x = [x_1, x_2, ..., x_n]. Let's define B(x) as a minimal size of a partition of x into subsegments such that all elements in each subsegment are equal. For example, B([3, 3, 6, 1, 6, 6, 6]) = 4 using next partit... | instruction | 0 | 22,100 | 22 | 44,200 |
Tags: dp, math, probabilities
Correct Solution:
```
N = int(input())
mod = 10**9 + 7
L = list(map(int, input().split()))
R = list(map(int, input().split()))
def calb2(x):
ran = (R[x] - L[x] + 1) * (R[x+1] - L[x+1] + 1) % mod
return max(0, min(R[x], R[x+1]) - max(L[x], L[x+1]) + 1) * pow(ran, mod-2, mod) % mo... | output | 1 | 22,100 | 22 | 44,201 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let x be an array of integers x = [x_1, x_2, ..., x_n]. Let's define B(x) as a minimal size of a partition of x into subsegments such that all elements in each subsegment are equal. For example, B([3, 3, 6, 1, 6, 6, 6]) = 4 using next partit... | instruction | 0 | 22,101 | 22 | 44,202 |
Tags: dp, math, probabilities
Correct Solution:
```
mod = 10 ** 9 + 7
def pow_(x, y, p) :
res = 1
x = x % p
if x == 0:
return 0
while y > 0:
if (y & 1) == 1:
res = (res * x) % p
y = y >> 1
x = (x * x) % p
return res... | output | 1 | 22,101 | 22 | 44,203 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Let x be an array of integers x = [x_1, x_2, ..., x_n]. Let's define B(x) as a minimal size of a partition of x into subsegments such that all elements in each subsegment are equal. For example, B([3, 3, 6, 1, 6, 6, 6]) = 4 using next partit... | instruction | 0 | 22,102 | 22 | 44,204 |
Tags: dp, math, probabilities
Correct Solution:
```
import sys
def inv(n):
p = 10 ** 9 + 7
q = p-2
ans = 1
mult = n
while q > 0:
if q % 2 == 1:
q = q - 1
ans = (ans * mult) % p
else:
q = q // 2
mult = (mult * mult) % p
return ans
... | output | 1 | 22,102 | 22 | 44,205 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,134 | 22 | 46,268 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
from sys import stdin,stdout
nmbr = lambda: int(stdin.readline())
lst = lambda: list(map(int,stdin.readline().split()))
N=10**6+6
primes=[1]*N
p=2
while p*p<=N:
if primes[p]:
for j in range(p*p,N,p):
primes[j]=0
p+=1
prim... | output | 1 | 23,134 | 22 | 46,269 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,135 | 22 | 46,270 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
# Legends Always Come Up with Solution
# Author: Manvir Singh
import os
import sys
from io import BytesIO, IOBase
from bisect import *
def seieve_prime_factorisation(n):
p,i=[1]*(n+1),2
while i*i<=n:
if p[i]:
for j in r... | output | 1 | 23,135 | 22 | 46,271 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,136 | 22 | 46,272 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
def f(a, b):
t = [1] * (b + 1)
for i in range(3, int(b ** 0.5) + 1):
if t[i]:
t[i * i :: 2 * i] = [0] * ((b - i * i) // (2 * i) + 1)
return [i for i in range(3, b + 1, 2) if t[i] and i > a]
a, b, k = map(int, input(... | output | 1 | 23,136 | 22 | 46,273 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,137 | 22 | 46,274 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
def f(n):
m, l = int(n ** 0.5) + 1, n - 1
t = [1] * n
for i in range(3, m):
if t[i]: t[i * i :: 2 * i] = [0] * ((l - i * i) // (2 * i) + 1)
return [2] + [i for i in range(3, n, 2) if t[i]]
a, b, k = map(int, input().split())... | output | 1 | 23,137 | 22 | 46,275 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,138 | 22 | 46,276 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
a,b,k=map(int,input().split())
prime=[True]*(b+1)
p=[]
for i in range(2,b+1):
if prime[i]:
if i>=a:
p.append(i)
for j in range(i,b+1,i):
prime[j]=False
if len(p)<k:
print(-1)
else:
arr1=[p[i]-p[i-k] for i in range(k,len(p))... | output | 1 | 23,138 | 22 | 46,277 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,139 | 22 | 46,278 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
p=[1]*(1000005)
p[0]=0
p[1]=0
for i in range(2,1001):
if p[i]:
for j in range(2*i,1000005,i):
p[j]=0
for i in range(1,1000001):
p[i]+=p[i-1]
a,b,k=map(int,input().split())
if p[b]-p[a-1]<k:
exit(print(-1))
i=j=a
l=0
w... | output | 1 | 23,139 | 22 | 46,279 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,140 | 22 | 46,280 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
def f(a, b):
t = [1] * (b + 1)
for i in range(3, int(b ** 0.5) + 1):
if t[i]: t[i * i :: 2 * i] = [0] * ((b - i * i) // (2 * i) + 1)
return [i for i in range(3, b + 1, 2) if t[i] and i > a]
a, b, k = map(int, input().split... | output | 1 | 23,140 | 22 | 46,281 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Consider positive integers a, a + 1, ..., b (a ≤ b). Y... | instruction | 0 | 23,141 | 22 | 46,282 |
Tags: binary search, number theory, two pointers
Correct Solution:
```
import sys
from math import gcd,sqrt,ceil
from collections import defaultdict,Counter,deque
from bisect import bisect_left,bisect_right
import math
# input=sys.stdin.readline
# def print(x):
# sys.stdout.write(str(x)+"\n")
# sys.stdout=open("C... | output | 1 | 23,141 | 22 | 46,283 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,142 | 22 | 46,284 |
Yes | output | 1 | 23,142 | 22 | 46,285 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,143 | 22 | 46,286 |
Yes | output | 1 | 23,143 | 22 | 46,287 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,144 | 22 | 46,288 |
Yes | output | 1 | 23,144 | 22 | 46,289 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,145 | 22 | 46,290 |
Yes | output | 1 | 23,145 | 22 | 46,291 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,146 | 22 | 46,292 |
No | output | 1 | 23,146 | 22 | 46,293 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,147 | 22 | 46,294 |
No | output | 1 | 23,147 | 22 | 46,295 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,148 | 22 | 46,296 |
No | output | 1 | 23,148 | 22 | 46,297 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've decided to carry out a survey in the theory of prime numbers. Let us remind you that a prime number is a positive integer that has exactly two distinct positive integer divisors.
Conside... | instruction | 0 | 23,149 | 22 | 46,298 |
No | output | 1 | 23,149 | 22 | 46,299 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7).
The modulo operator a mod b stands for the rema... | instruction | 0 | 23,326 | 22 | 46,652 |
Tags: implementation, math, number theory
Correct Solution:
```
def sub(a, b):
if a - b < 0:
return a - b + MOD
else:
return a - b
MOD = 10 ** 9 + 7
n, m = [int(x) for x in input().split()]
ans = n * m % MOD
k = min(n, m)
d1 = 1
while d1 * d1 <= n:
if d1 <= k:
ans = sub(ans, (n /... | output | 1 | 23,326 | 22 | 46,653 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7).
The modulo operator a mod b stands for the rema... | instruction | 0 | 23,327 | 22 | 46,654 |
Tags: implementation, math, number theory
Correct Solution:
```
#### IMPORTANT LIBRARY ####
############################
### DO NOT USE import random --> 250ms to load the library
############################
### In case of extra libraries: https://github.com/cheran-senthil/PyRival
######################
####### ... | output | 1 | 23,327 | 22 | 46,655 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7).
The modulo operator a mod b stands for the rema... | instruction | 0 | 23,328 | 22 | 46,656 |
Tags: implementation, math, number theory
Correct Solution:
```
import math
n, m = map(int, input().split())
mod = pow(10, 9) + 7
ans = 0
if n < m:
ans = n * (m - n) % mod
m = n
ns = int(math.sqrt(n))
x = [0] * ns
f = 1
for i in range(ns):
if i + 1 > m:
f = 0
break
x[i] = n // (i + 1)
... | output | 1 | 23,328 | 22 | 46,657 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7).
The modulo operator a mod b stands for the rema... | instruction | 0 | 23,329 | 22 | 46,658 |
Tags: implementation, math, number theory
Correct Solution:
```
import math
MOD = int( 1e9 + 7 )
N, M = map( int, input().split() )
sn = int( math.sqrt( N ) )
ans = N * M % MOD
for i in range( 1, min( sn, M ) + 1, 1 ):
ans -= N // i * i
ans %= MOD
if N // ( sn + 1 ) > M:
exit( print( ans ) )
for f in range( N /... | output | 1 | 23,329 | 22 | 46,659 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7).
The modulo operator a mod b stands for the rema... | instruction | 0 | 23,330 | 22 | 46,660 |
Tags: implementation, math, number theory
Correct Solution:
```
from math import floor
def range_sum(low, up):
return (up * (up + 1)) // 2 - (low * (low + 1)) // 2
# for _ in range(int(input())):
mod = int(1e9 + 7)
n,m=map(int,input().split())
ans, sqrt_n = m*n, int(floor(n**0.5))
temp = 0
for i in range(1, sqr... | output | 1 | 23,330 | 22 | 46,661 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Calculate the value of the sum: n mod 1 + n mod 2 + n mod 3 + ... + n mod m. As the result can be very large, you should print the value modulo 109 + 7 (the remainder when divided by 109 + 7).
The modulo operator a mod b stands for the rema... | instruction | 0 | 23,331 | 22 | 46,662 |
Tags: implementation, math, number theory
Correct Solution:
```
from math import sqrt
def main(): #this is so hard to make pass lel
n, m = map(int, input().split())
ans, cur = 0, 2
if m >= n:
ans = n * (m - n)
m = n - 1
t = min(int(sqrt(n)) + 1, m)
while cur <= t:
ans += n % ... | output | 1 | 23,331 | 22 | 46,663 |
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