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 a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,088 | 22 | 138,176 |
Tags: constructive algorithms, math
Correct Solution:
```
for t in range(int(input())):
n=int(input())
if((n//2)%2==1):
print("NO")
else:
l=[]
i=2
j=0
while(i<=n):
l.append(i)
i+=2
j+=2
i=1
while(i<j-1):
... | output | 1 | 69,088 | 22 | 138,177 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,089 | 22 | 138,178 |
Tags: constructive algorithms, math
Correct Solution:
```
for t in range(int(input())):
n= int(input())
if n%4==0:
print("YES")
a=2
b=1
while a<=n:
print(a,end=' ');
a+=2
while b<n-1:
print(b,end=' ');
b+=2
print( 3*n//2 -1)
else:
print("NO")
``` | output | 1 | 69,089 | 22 | 138,179 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,090 | 22 | 138,180 |
Tags: constructive algorithms, math
Correct Solution:
```
from sys import stdin,stdout
for testcases in range(int(stdin.readline())):
n=int(stdin.readline())
if (n*(n+1))//2 %2==0:
arr=[]
for i in range(n//2):
arr.append(2*(i+1))
sumarr=sum(arr)
summ=0
for... | output | 1 | 69,090 | 22 | 138,181 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,091 | 22 | 138,182 |
Tags: constructive algorithms, math
Correct Solution:
```
n = int(input())
for i in range(n):
a = int(input())
if a %4==0:
print("YES")
fh = [int(i) for i in range(1, a + 1) if i % 2 == 0]
sh = [int(i) for i in range(a) if i % 2 != 0]
sh[-1]= sh[-1] + int(a / 2)
print(*f... | output | 1 | 69,091 | 22 | 138,183 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,092 | 22 | 138,184 |
Tags: constructive algorithms, math
Correct Solution:
```
for t in range(int(input())):
n = int(input())
if (n // 2) % 2 == 1:
print("NO")
else:
print("YES")
a = []
j = 2
s1 = 0
for i in range(n // 2):
a.append(j)
j += 2
s1 ... | output | 1 | 69,092 | 22 | 138,185 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,093 | 22 | 138,186 |
Tags: constructive algorithms, math
Correct Solution:
```
def solve(n):
list=[]
if int(n/2)%2!=0:
print('NO')
else:
print('YES')
for i in range(1,int(n/2)+1):
list.append(2*i)
for i in range(0,int(n/2)-1):
list.append(1+(i*2))
k=int(n/2)*(int(n... | output | 1 | 69,093 | 22 | 138,187 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,094 | 22 | 138,188 |
Tags: constructive algorithms, math
Correct Solution:
```
# ===============================================================================================
# importing some useful libraries.
from __future__ import division, print_function
from fractions import Fraction
import sys
import os
from io import BytesIO, IOBas... | output | 1 | 69,094 | 22 | 138,189 |
Provide tags and a correct Python 2 solution for this coding contest problem.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (divisible by 2);
* the second n/2 elements of... | instruction | 0 | 69,095 | 22 | 138,190 |
Tags: constructive algorithms, math
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
#from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
def in_num():
return int(raw_input())
def in_arr():
return map(int,raw_input().s... | output | 1 | 69,095 | 22 | 138,191 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,096 | 22 | 138,192 |
Yes | output | 1 | 69,096 | 22 | 138,193 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,097 | 22 | 138,194 |
Yes | output | 1 | 69,097 | 22 | 138,195 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,098 | 22 | 138,196 |
Yes | output | 1 | 69,098 | 22 | 138,197 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,099 | 22 | 138,198 |
Yes | output | 1 | 69,099 | 22 | 138,199 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,100 | 22 | 138,200 |
No | output | 1 | 69,100 | 22 | 138,201 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,101 | 22 | 138,202 |
No | output | 1 | 69,101 | 22 | 138,203 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,102 | 22 | 138,204 |
No | output | 1 | 69,102 | 22 | 138,205 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a positive integer n, it is guaranteed that n is even (i.e. divisible by 2).
You want to construct the array a of length n such that:
* The first n/2 elements of a are even (d... | instruction | 0 | 69,103 | 22 | 138,206 |
No | output | 1 | 69,103 | 22 | 138,207 |
Provide tags and a correct Python 3 solution for this coding contest problem.
To confuse the opponents, the Galactic Empire represents fractions in an unusual format. The fractions are represented as two sets of integers. The product of numbers from the first set gives the fraction numerator, the product of numbers fr... | instruction | 0 | 69,227 | 22 | 138,454 |
Tags: implementation, math, number theory, sortings
Correct Solution:
```
from collections import defaultdict
import bisect
from itertools import accumulate
import os
import sys
import math
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
sel... | output | 1 | 69,227 | 22 | 138,455 |
Provide tags and a correct Python 3 solution for this coding contest problem.
To confuse the opponents, the Galactic Empire represents fractions in an unusual format. The fractions are represented as two sets of integers. The product of numbers from the first set gives the fraction numerator, the product of numbers fr... | instruction | 0 | 69,228 | 22 | 138,456 |
Tags: implementation, math, number theory, sortings
Correct Solution:
```
# Legends Always Come Up with Solution
# Author: Manvir Singh
import os
from io import BytesIO, IOBase
import sys
from collections import Counter
from math import sqrt, pi, ceil, log, inf, gcd, floor
def main():
n, m = map(int, input().spli... | output | 1 | 69,228 | 22 | 138,457 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
To confuse the opponents, the Galactic Empire represents fractions in an unusual format. The fractions are represented as two sets of integers. The product of numbers from the first set gives th... | instruction | 0 | 69,229 | 22 | 138,458 |
No | output | 1 | 69,229 | 22 | 138,459 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
To confuse the opponents, the Galactic Empire represents fractions in an unusual format. The fractions are represented as two sets of integers. The product of numbers from the first set gives th... | instruction | 0 | 69,230 | 22 | 138,460 |
No | output | 1 | 69,230 | 22 | 138,461 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
To confuse the opponents, the Galactic Empire represents fractions in an unusual format. The fractions are represented as two sets of integers. The product of numbers from the first set gives th... | instruction | 0 | 69,231 | 22 | 138,462 |
No | output | 1 | 69,231 | 22 | 138,463 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
To confuse the opponents, the Galactic Empire represents fractions in an unusual format. The fractions are represented as two sets of integers. The product of numbers from the first set gives th... | instruction | 0 | 69,232 | 22 | 138,464 |
No | output | 1 | 69,232 | 22 | 138,465 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've got an n × m matrix. The matrix consists of integers. In one move, you can apply a single transformation to the matrix: choose an arbitrary element of the matrix and increase it by 1. Each element can be increased an arbitrary number ... | instruction | 0 | 69,253 | 22 | 138,506 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
# Problem: B. Prime Matrix
# Contest: Codeforces - Codeforces Round #166 (Div. 2)
# URL: https://codeforces.com/contest/271/problem/B
# Memory Limit: 256 MB
# Time Limit: 2000 ms
# Powered by CP Editor (https://github.com/cpeditor/cpeditor)
im... | output | 1 | 69,253 | 22 | 138,507 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You've got an n × m matrix. The matrix consists of integers. In one move, you can apply a single transformation to the matrix: choose an arbitrary element of the matrix and increase it by 1. Each element can be increased an arbitrary number ... | instruction | 0 | 69,256 | 22 | 138,512 |
Tags: binary search, brute force, math, number theory
Correct Solution:
```
def _min(x, y):
if x < y:
return x
if y <= x:
return y
n = 100100
prime = [True for i in range(n+1)]
prime[0], prime[1] = False, False
p = 2
while (p * p <= n):
if (prime[p] == True):
for i in range(p * p, n+1, p):
prim... | output | 1 | 69,256 | 22 | 138,513 |
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 | 69,556 | 22 | 139,112 |
Tags: constructive algorithms, math
Correct Solution:
```
n = int(input())
a = [1]
b = [0]
for i in range(n):
c = a.copy()
a.append(0)
for i in range(len(a) - 1, 0, -1):
a[i] = a[i - 1]
if i < len(b):
a[i] += b[i]
a[i] %= 2
a[0] = b[0]
b = c.copy()
print(len(a) -... | output | 1 | 69,556 | 22 | 139,113 |
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 | 69,557 | 22 | 139,114 |
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 | 69,557 | 22 | 139,115 |
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 | 69,558 | 22 | 139,116 |
Tags: constructive algorithms, math
Correct Solution:
```
class polynomial:
def __init__(self, data):
self.data = data
def __lshift__(self, x):
return polynomial([0] * x + self.data)
def __len__(self):
return len(self.data)
def __sub__(self, other):
newData... | output | 1 | 69,558 | 22 | 139,117 |
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 | 69,559 | 22 | 139,118 |
Tags: constructive algorithms, math
Correct Solution:
```
n = int(input())
c = [0,1]
p = [1]
for i in range(1, n):
nc = [0] + c
rev=False
for j in range(len(p)):
nc[j] -= p[j]
if abs(nc[j]) > 1:
rev = True
if rev:
for j in range(len(p)):
nc[j] += 2*p[j]
... | output | 1 | 69,559 | 22 | 139,119 |
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 | 69,560 | 22 | 139,120 |
Tags: constructive algorithms, math
Correct Solution:
```
import sys
#f = open('input', 'r')
f = sys.stdin
n = f.readline()
n = int(n)
t = [[0], [1]]
for j in range(n):
cur = [0] + t[-1]
for i, x in enumerate(t[-2]):
cur[i] += x
if min(cur) < -1 or max(cur) > 1:
cur = [0] + t[-1]
for i, x in enumer... | output | 1 | 69,560 | 22 | 139,121 |
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 | 69,561 | 22 | 139,122 |
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 | 69,561 | 22 | 139,123 |
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 | 69,562 | 22 | 139,124 |
Tags: constructive algorithms, math
Correct Solution:
```
B = [1, 0] # 1x + 0
R = [1] # 0x + 1
A = list(B)
n = int(input())
for i in range(1, n):
A += [0]
# print('A =', A)
# print('R =', R)
# print('B =', B)
for j in range(-1, -len(R)-1, -1):
A[len(A)+j] += R[len(R)+j]
if A[len(A)+j] == 2:
A[len(A)+... | output | 1 | 69,562 | 22 | 139,125 |
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 | 69,563 | 22 | 139,126 |
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 | 69,563 | 22 | 139,127 |
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 | 69,564 | 22 | 139,128 |
Yes | output | 1 | 69,564 | 22 | 139,129 |
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 | 69,565 | 22 | 139,130 |
Yes | output | 1 | 69,565 | 22 | 139,131 |
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 | 69,566 | 22 | 139,132 |
No | output | 1 | 69,566 | 22 | 139,133 |
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 | 69,567 | 22 | 139,134 |
No | output | 1 | 69,567 | 22 | 139,135 |
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 | 69,568 | 22 | 139,136 |
No | output | 1 | 69,568 | 22 | 139,137 |
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 | 69,569 | 22 | 139,138 |
No | output | 1 | 69,569 | 22 | 139,139 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call a positive integer x a k-beautiful integer if and only if it is possible to split the multiset of its digits in the decimal representation into two subsets such that the difference betwe... | instruction | 0 | 69,570 | 22 | 139,140 |
No | output | 1 | 69,570 | 22 | 139,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call a positive integer x a k-beautiful integer if and only if it is possible to split the multiset of its digits in the decimal representation into two subsets such that the difference betwe... | instruction | 0 | 69,571 | 22 | 139,142 |
No | output | 1 | 69,571 | 22 | 139,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call a positive integer x a k-beautiful integer if and only if it is possible to split the multiset of its digits in the decimal representation into two subsets such that the difference betwe... | instruction | 0 | 69,572 | 22 | 139,144 |
No | output | 1 | 69,572 | 22 | 139,145 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,613 | 22 | 139,226 |
"Correct Solution:
```
MOD = 10**9 + 7
class mint:
def __init__(self, i):
self.i = i
def __add__(self, m):
t = self.i + (m.i if isinstance(m, mint) else m)
if t > MOD:
t -= MOD
return mint(t)
def __radd__(self, m):
t = self.i + (m.i if isinstance(m, mint) ... | output | 1 | 69,613 | 22 | 139,227 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,614 | 22 | 139,228 |
"Correct Solution:
```
L,R = map(int,input().split())
mod = 10**9+7
m = 64 +1
fac = [1]*m
ninv = [1]*m
finv = [1]*m
for i in range(2,m):
fac[i] = fac[i-1]*i%mod
ninv[i] = (-(mod//i)*ninv[mod%i])%mod
finv[i] = finv[i-1]*ninv[i]%mod
def comb(n,k):
return (fac[n]*finv[k]%mod)*finv[n-k]%mod
def f(N):
... | output | 1 | 69,614 | 22 | 139,229 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,615 | 22 | 139,230 |
"Correct Solution:
```
L,R = map(int,input().split())
dp = []
for i in range(62):
nowA = []
for i in range(2):
nowB = []
for i in range(2):
nowC = []
for i in range(2):
nowC.append(0)
nowB.append(nowC)
nowA.append(nowB)
... | output | 1 | 69,615 | 22 | 139,231 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,616 | 22 | 139,232 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(10**9)
from functools import lru_cache
mod=1000000007
@lru_cache()
def calc(l,r):
if l>r:
return 0
if r==0:
return 1
b_l,b_r=l.bit_length(),r.bit_length()
if b_l==b_r:
return calc(l-(1<<(b_l-1)),r-(1<<(b_r-1)))
if r==(1... | output | 1 | 69,616 | 22 | 139,233 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,617 | 22 | 139,234 |
"Correct Solution:
```
L,R = map(int,input().split())
mod = 10**9+7
m = 64 +1
fac = [1]*m
ninv = [1]*m
finv = [1]*m
for i in range(2,m):
fac[i] = fac[i-1]*i%mod
ninv[i] = (-(mod//i)*ninv[mod%i])%mod
finv[i] = finv[i-1]*ninv[i]%mod
def comb(n,k):
return (fac[n]*finv[k]%mod)*finv[n-k]%mod
def f(L,R):
... | output | 1 | 69,617 | 22 | 139,235 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,618 | 22 | 139,236 |
"Correct Solution:
```
mod = 10**9+7
def count(L, R):
res = 0
for j in range(70):
res = (res + subcount(j, L, R)) % mod
return res
def subcount(j, L, R):
if j >= L.bit_length():
return 0
dp = [[0]*4 for _ in range(70)]
cnt = 0
if R.bit_length() != j+1:
cnt += 1... | output | 1 | 69,618 | 22 | 139,237 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,619 | 22 | 139,238 |
"Correct Solution:
```
from functools import lru_cache
import sys
sys.setrecursionlimit(1000000)
P = 10**9+7
@lru_cache(maxsize=None)
def subcalc(l, r):
if l < 0 or r < 0:
print("ERROR")
print("l, r =", l, r)
print(1//0)
if l > r: return 0
if r == 0: return 1
aa, bb = l.bit_lengt... | output | 1 | 69,619 | 22 | 139,239 |
Provide a correct Python 3 solution for this coding contest problem.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
What is \mbox{ XOR }?
The XOR of integers A and B, A \mb... | instruction | 0 | 69,620 | 22 | 139,240 |
"Correct Solution:
```
mod = 10 ** 9 + 7
memo = {}
def solve(L, R):
if (L, R) in memo:
return memo[(L, R)]
if L > R:
res = 0
elif L == 1:
res = 1 + solve(2, R)
else:
res = (
solve(L // 2, (R - 1) // 2) +
solve((L + 1) // 2, R // 2) +
... | output | 1 | 69,620 | 22 | 139,241 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are integers L and R. Find the number, modulo 10^9 + 7, of pairs of integers (x, y) (L \leq x \leq y \leq R) such that the remainder when y is divided by x is equal to y \mbox{ XOR } x.
W... | instruction | 0 | 69,621 | 22 | 139,242 |
Yes | output | 1 | 69,621 | 22 | 139,243 |
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