message stringlengths 2 44.5k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
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. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extremely large, compute the answer modulo 10^9+7.
Constraints
* 1≦N≦10^{18}
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the possible pairs of integers u and v, modulo 10^9+7.
Examples
Input
3
Output
5
Input
1422
Output
52277
Input
1000000000000000000
Output
787014179
Submitted Solution:
```
N= int(input())
def b(N):
if N < 2:
res = N
else:
if N % 2 == 0:
res = b(N//2)
else:
res = b( (N-1)//2 ) + b( (N+1)//2 )
return res
def a(N):
if N > 0:
res = a(N-1)
else:
res = 0
return res + b(N+1)
print(a(N))
``` | instruction | 0 | 60,541 | 5 | 121,082 |
No | output | 1 | 60,541 | 5 | 121,083 |
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. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extremely large, compute the answer modulo 10^9+7.
Constraints
* 1≦N≦10^{18}
Input
The input is given from Standard Input in the following format:
N
Output
Print the number of the possible pairs of integers u and v, modulo 10^9+7.
Examples
Input
3
Output
5
Input
1422
Output
52277
Input
1000000000000000000
Output
787014179
Submitted Solution:
```
N = int(input())
ans = 0
for i in range(N):
tmp = 1
b = 1
while b <= i:
if i & b > 0:
tmp <<= 1
b <<= 1
tmp >>= 1
ans = (ans + tmp) % 10000000007
print(ans)
``` | instruction | 0 | 60,542 | 5 | 121,084 |
No | output | 1 | 60,542 | 5 | 121,085 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,620 | 5 | 121,240 |
"Correct Solution:
```
#!usr/bin/env python3
from collections import defaultdict,deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS():return [list(x) for x in sys.stdin.readline().split()]
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
#1_A
"""
import math
n = int(input())
m = n
ans = []
i = 2
k = math.sqrt(n)
while i <= k:
if n%i == 0:
n = n//i
ans.append(i)
i -= 1
if n == 1:
break
i += 1
if len(ans) == 0 or n != 1:
ans.append(n)
print(m,end = ": ")
for i in range(len(ans)-1):
print(ans[i], end = " ")
print(ans[-1])
"""
#1_B
"""
m,n = map(int, input().split())
b = bin(n)[2:]
num = [m]
for i in range(len(b)-1):
num.append(num[-1]**2%1000000007)
ans = 1
for i in range(len(b)):
ans *= num[i] if b[len(b)-1-i] == "1" else 1
ans %= 1000000007
print(ans)
"""
#1_C
"""
import math
l = int(input())
a = list(map(int, input().split()))
dict = {}
for n in a:
ans = []
i = 2
k = math.sqrt(n)
dic = {}
while i <= k:
if n%i == 0:
n = n//i
ans.append(i)
i -= 1
if n == 1:
break
i += 1
if len(ans) == 0 or n != 1:
ans.append(n)
for i in ans:
if i in dic:
dic[i] += 1
else:
dic[i] = 1
for i in dic.keys():
if i in dict:
dict[i] = max(dict[i], dic[i])
else:
dict[i] = dic[i]
sum = 1
for x,y in dict.items():
sum *= x**y
print(sum)
"""
#1_D
"""
import math
n = int(input())
m = n
ans = []
i = 2
k = math.sqrt(n)
dic = {}
while i <= k:
if n%i == 0:
n = n//i
ans.append(i)
i -= 1
if n == 1:
break
i += 1
if len(ans) == 0 or n != 1:
ans.append(n)
ans = list(set(ans))
sum = m
for i in ans:
sum *= (1-1/i)
print(int(sum))
"""
#1_E
"""
def gcd(a,b):
if a==0:
return b
return gcd(b%a,a)
a,b = LI()
g = gcd(a,b)
a//=g
b//=g
if b == 1:
print(0,1)
quit()
if b < 4:
f = b-1
else:
p = []
x = 2
m = b
while x**2 <= b:
if not m%x:
p.append(x)
while not m%x:
m//=x
x += 1
if m != 1:p.append(m)
f = b
for i in p:
f *= (1-1/i)
f = int(f)
x_ = pow(a,f-1,b)
y_ = (1-a*x_)//b
ans = [x_,y_,abs(x_)+abs(y_)]
for i in range(-10000,10000):
s = -b*i+x_
t = a*i+y_
m = abs(s)+abs(t)
if m < ans[2]:
ans = [s,t,m]
elif m == ans[2] and s <= t:
ans = [s,t,m]
print(ans[0],ans[1])
"""
#2
#2-A
a,b = LI()
print(a+b)
``` | output | 1 | 60,620 | 5 | 121,241 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,621 | 5 | 121,242 |
"Correct Solution:
```
print(sum(list(map(int,input().split()))))
``` | output | 1 | 60,621 | 5 | 121,243 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,622 | 5 | 121,244 |
"Correct Solution:
```
a, b=input().split(' ')
print(int(a)+int(b))
``` | output | 1 | 60,622 | 5 | 121,245 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,623 | 5 | 121,246 |
"Correct Solution:
```
s = input().split()
print(int(s[0]) + int(s[1]))
``` | output | 1 | 60,623 | 5 | 121,247 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,624 | 5 | 121,248 |
"Correct Solution:
```
a = input().split()
print(int(a[0]) + int(a[1]))
``` | output | 1 | 60,624 | 5 | 121,249 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,625 | 5 | 121,250 |
"Correct Solution:
```
import sys,bisect,math
A,B = map(int,sys.stdin.readline().split())
print(A+B)
``` | output | 1 | 60,625 | 5 | 121,251 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,626 | 5 | 121,252 |
"Correct Solution:
```
A,B=map(int,input().split())
print(A+B)
``` | output | 1 | 60,626 | 5 | 121,253 |
Provide a correct Python 3 solution for this coding contest problem.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13 | instruction | 0 | 60,627 | 5 | 121,254 |
"Correct Solution:
```
#!/usr/bin/env python
# -*- coding: utf-8 -*-
#
# FileName: addition_of_big_integers
# CreatedDate: 2020-07-26 14:23:13 +0900
# LastModified: 2020-07-26 14:23:35 +0900
#
import os
import sys
# import numpy as np
# import pandas as pd
def main():
a, b = map(int, input().split())
print(a+b)
if __name__ == "__main__":
main()
``` | output | 1 | 60,627 | 5 | 121,255 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
A,B=[int(i) for i in input().split(" ")]
print(A+B)
``` | instruction | 0 | 60,628 | 5 | 121,256 |
Yes | output | 1 | 60,628 | 5 | 121,257 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
b, c = map(int, input().split())
print(b+c)
``` | instruction | 0 | 60,629 | 5 | 121,258 |
Yes | output | 1 | 60,629 | 5 | 121,259 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
a,b = map(int,input().split())
print(a + b)
``` | instruction | 0 | 60,630 | 5 | 121,260 |
Yes | output | 1 | 60,630 | 5 | 121,261 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
#import pysnooper
#import os,re,sys,operator,math,heapq,string
from collections import Counter,deque
#from operator import itemgetter
#from itertools import accumulate,combinations,groupby,combinations_with_replacement,permutations
from sys import stdin,setrecursionlimit
#from copy import deepcopy
setrecursionlimit(10**6)
input=stdin.readline
a,b=map(int,input().split())
print(a+b)
``` | instruction | 0 | 60,631 | 5 | 121,262 |
Yes | output | 1 | 60,631 | 5 | 121,263 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
from decimal import Decimal
print(sum([Decimal(i) for i in input().split()]))
``` | instruction | 0 | 60,632 | 5 | 121,264 |
No | output | 1 | 60,632 | 5 | 121,265 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
a,b = map(int,input.split())
print(a + b)
``` | instruction | 0 | 60,633 | 5 | 121,266 |
No | output | 1 | 60,633 | 5 | 121,267 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
a,b=map(int, input().split())
print(a-b)
``` | instruction | 0 | 60,634 | 5 | 121,268 |
No | output | 1 | 60,634 | 5 | 121,269 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Addition of Big Integers
Given two integers $A$ and $B$, compute the sum, $A + B$.
Input
Two integers $A$ and $B$ separated by a space character are given in a line.
Output
Print the sum in a line.
Constraints
* $-1 \times 10^{100000} \leq A, B \leq 10^{100000}$
Sample Input 1
5 8
Sample Output 1
13
Sample Input 2
100 25
Sample Output 2
125
Sample Input 3
-1 1
Sample Output 3
0
Sample Input 4
12 -3
Sample Output 4
9
Example
Input
5 8
Output
13
Submitted Solution:
```
sum([int(i) for i in input().split()])
``` | instruction | 0 | 60,635 | 5 | 121,270 |
No | output | 1 | 60,635 | 5 | 121,271 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
def log4(n):
k = 0
while n>3: n//=4; k+=1
return k
def manual_test(n):
a = 0 ; s = []
forbidden = set()
while len(s)<n:
a = a+1
while a in forbidden: a+=1
b = a+1
while b in forbidden or a^b in forbidden or a^b<b: b+=1
s.append((a,b,a^b))
forbidden.add(a)
forbidden.add(b)
forbidden.add(a^b)
for i, x in enumerate(s):
print('{:3d} {}'.format(i+1, x, ))
y = abc(i+1)
assert x==y, y
exit(0)
return
# 2 (4, 8, 12)
# 3 (5, 10, 15)
# 4 (6, 11, 13)
# 5 (7, 9, 14)
def f(x, y):
if y==0: return 0
q, r = divmod(x, y)
return [0,2,3,1][q]*y + f(r, y//4)
def abc(n):
if n==1:
a, b = 1, 2
else:
m = n*3-2
x = 4**log4(m)
d = (m-x)//3
a, b = x+d, 2*x+f(d, x//4)
return (a,b,a^b)
#manual_test(10**3)
import sys
ints = (int(s) for s in sys.stdin.read().split())
ntc = next(ints)
ans = []
for tc in range(1, 1+ntc):
n = next(ints)
n, r = divmod(n+2, 3)
ans.append(abc(n)[r])
print('\n'.join(map(str, ans)))
``` | instruction | 0 | 60,809 | 5 | 121,618 |
Yes | output | 1 | 60,809 | 5 | 121,619 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
import sys
input = sys.stdin.readline
Q = int(input())
Query = [int(input()) for _ in range(Q)]
for N in Query:
N -= 1
seq = N//3
where = N%3
T = 0
for l in range(100):
a = 4**l
if T + a > seq:
start = (seq - T) + a
break
T += a
if where == 0:
print(start)
else:
b = start - a
b_str = bin(b)[2:]
b_str = "0"*(a.bit_length()-1 - len(b_str)) + b_str
L = len(b_str)//2
p_str = ""
for l in range(L):
tmp = b_str[2*l:2*l+2]
if tmp == "00":
p_str += "00"
elif tmp == "01":
p_str += "10"
elif tmp == "10":
p_str += "11"
else:
p_str += "01"
second = int("10"+p_str, 2)
if where == 1:
print(second)
else:
print(start^second)
``` | instruction | 0 | 60,810 | 5 | 121,620 |
Yes | output | 1 | 60,810 | 5 | 121,621 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
import os
import sys
mapper = {"00": "00", "01": "10", "10": "11", "11": "01"}
def f(n):
n1 = (n - 1) // 3
if n1 >= 1466015503701:
x = 1466015503701
i = 21
else:
x = 0
i = 0
while n1 >= x + 4 ** i:
x += 4 ** i
i += 1
t1 = 4 ** i + n1 - x
t2 = int(
"10" + "".join(mapper[bin(t1)[3:][2 * j : 2 * (j + 1)]] for j in range(i)), 2
)
idx = n - n1 * 3 - 1
if idx == 0:
return t1
elif idx == 1:
return t2
elif idx == 2:
return t1 ^ t2
else:
raise Exception("bug")
def pp(input):
T = int(input())
print("\n".join(map(str, (f(int(input())) for _ in range(T)))))
if "paalto" in os.getcwd() and "pydevconsole" in sys.argv[0]:
from string_source import string_source
pp(
string_source(
"""9
1
2
3
4
5
6
7
8
9"""
)
)
else:
input = sys.stdin.buffer.readline
pp(input)
assert f(999999999990000) == 1046445486432677
def x():
for i in range(100000):
f(999999999990000 + i)
# %timeit -n 1 x()
``` | instruction | 0 | 60,811 | 5 | 121,622 |
Yes | output | 1 | 60,811 | 5 | 121,623 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
import io
import os
from collections import Counter, defaultdict, deque
DEBUG = False
def solve(N):
if DEBUG:
ans = []
S = set()
M = 100
for a in range(1, M):
if a not in S:
for b in range(1, 10 ** 100):
if b not in S:
c = a ^ b
if (
a != b
and b != c
and a != c
and a not in S
and b not in S
and c not in S
):
S.add(a)
S.add(b)
S.add(c)
ans.append(a)
ans.append(b)
ans.append(c)
if True:
print(
bin(a)[2:].rjust(30),
bin(b)[2:].rjust(30),
bin(c)[2:].rjust(30),
"\t",
a,
b,
c,
)
break
if N <= 3:
return N
else:
# A is grouped into powers of 4 plus an offset
p = 1
tripletIndex = (N - 1) // 3
offset = tripletIndex
while offset >= p:
offset -= p
p *= 4
a = p + offset
# B is a search and replace of A
aBin = bin(a)[2:]
if len(aBin) % 2:
aBin = "0" + aBin
mapping = {"01": "10", "11": "01", "10": "11", "00": "00"}
bBin = []
for i in range(0, len(aBin), 2):
bBin.append(mapping[aBin[i : i + 2]])
b = int("".join(bBin), base=2)
# C is just xor of A and B
c = a ^ b
ret = [a, b, c][(N - 1) % 3]
if DEBUG:
assert ans[N - 1] == ret
return ret
if DEBUG:
for i in range(1, 100):
solve(i)
if __name__ == "__main__":
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
T = int(input())
for t in range(T):
(N,) = [int(x) for x in input().split()]
ans = solve(N,)
print(ans)
``` | instruction | 0 | 60,812 | 5 | 121,624 |
Yes | output | 1 | 60,812 | 5 | 121,625 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
from math import log
t = int(input())
ans = []
fft = [0, 1, 2, 3, 4, 8, 12, 5, 10, 15, 6, 11, 13, 7, 9, 14]
for i in range(t):
n = int(input())
nb = []
lg = int(log(n, 16))
nb = [0] * (lg + 1)
for i in range(lg, -1, -1):
lg2 = n // (16 ** i)
nb[i] = lg2
n -= lg2 * (16 ** i)
a = 0
for i in range(len(nb)):
a += fft[nb[i]] * (16 ** (i))
ans.append(a)
for x in ans:
print(x)
``` | instruction | 0 | 60,813 | 5 | 121,626 |
No | output | 1 | 60,813 | 5 | 121,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
#!/bin/env python3
import sys
N = int(sys.stdin.readline())
indices = [int(sys.stdin.readline()) for _ in range(N)]
top = max(indices)
s = []
a = 1
while len(s) < top:
while a in s:
a += 1
b = a * 2
while (b in s) or (a ^ b in s):
b += 1
c = a ^ b
s += [a,b,c]
for x in indices:
print(s[x-1])
``` | instruction | 0 | 60,814 | 5 | 121,628 |
No | output | 1 | 60,814 | 5 | 121,629 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
t = int(input())
while t:
t -= 1
n = int(input())
k = (n + 2) // 3
# print(k)
if k == 1:
q = 1
else:
q = k + 2
m = (n - 1) % 3
print(q * (m + 1))
``` | instruction | 0 | 60,815 | 5 | 121,630 |
No | output | 1 | 60,815 | 5 | 121,631 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Consider the infinite sequence s of positive integers, created by repeating the following steps:
1. Find the lexicographically smallest triple of positive integers (a, b, c) such that
* a ⊕ b ⊕ c = 0, where ⊕ denotes the [bitwise XOR operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
* a, b, c are not in s.
Here triple of integers (a_1, b_1, c_1) is considered to be lexicographically smaller than triple (a_2, b_2, c_2) if sequence [a_1, b_1, c_1] is lexicographically smaller than sequence [a_2, b_2, c_2].
2. Append a, b, c to s in this order.
3. Go back to the first step.
You have integer n. Find the n-th element of s.
You have to answer t independent test cases.
A sequence a is lexicographically smaller than a sequence b if in the first position where a and b differ, the sequence a has a smaller element than the corresponding element in b.
Input
The first line contains a single integer t (1 ≤ t ≤ 10^5) — the number of test cases.
Each of the next t lines contains a single integer n (1≤ n ≤ 10^{16}) — the position of the element you want to know.
Output
In each of the t lines, output the answer to the corresponding test case.
Example
Input
9
1
2
3
4
5
6
7
8
9
Output
1
2
3
4
8
12
5
10
15
Note
The first elements of s are 1, 2, 3, 4, 8, 12, 5, 10, 15, ...
Submitted Solution:
```
import sys
input = sys.stdin.readline
yo = input()
if(yo[-1]=='\n'):
yo=yo[:-1]
t=int(yo)
for i in range(t):
yo = input()
if(yo[-1]=='\n'):
yo=yo[:-1]
n=int(yo)-1
ct = n//9
rem = n%9
arr=[]
val = 8*(2**(4*ct))
for i in range(4):
arr.append(val)
val//=2
# print("yo",end=" ")
if(rem==0):
print(arr[3])
elif(rem==1):
print(arr[2])
elif(rem==2):
print(arr[2]+arr[3])
elif(rem==3):
print(arr[1])
elif(rem==4):
print(arr[0])
elif(rem==5):
print(arr[1]+arr[0])
elif(rem==6):
print(arr[1]+arr[3])
elif(rem==7):
print(arr[0]+arr[2])
elif(rem==8):
print(sum(arr))
``` | instruction | 0 | 60,816 | 5 | 121,632 |
No | output | 1 | 60,816 | 5 | 121,633 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've got an array, consisting of n integers: a1, a2, ..., an. Your task is to quickly run the queries of two types:
1. Assign value x to all elements from l to r inclusive. After such query the values of the elements of array al, al + 1, ..., ar become equal to x.
2. Calculate and print sum <image>, where k doesn't exceed 5. As the value of the sum can be rather large, you should print it modulo 1000000007 (109 + 7).
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 105), showing, how many numbers are in the array and the number of queries, correspondingly. The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 109) — the initial values of the array elements.
Then m queries follow, one per line:
1. The assign query has the following format: "<image>", (1 ≤ l ≤ r ≤ n; 0 ≤ x ≤ 109).
2. The query to calculate the sum has the following format: "<image>", (1 ≤ l ≤ r ≤ n; 0 ≤ k ≤ 5).
All numbers in the input are integers.
Output
For each query to calculate the sum print an integer — the required sum modulo 1000000007 (109 + 7).
Examples
Input
4 5
5 10 2 1
? 1 2 1
= 2 2 0
? 2 4 3
= 1 4 1
? 1 4 5
Output
25
43
1300
Input
3 1
1000000000 1000000000 1000000000
? 1 3 0
Output
999999986
Submitted Solution:
```
n, m = map(int, input().split())
mas = list(map(int, input().split()))
for i in range(m):
a, b, c, d = map(str, input().split())
b = int(b)
c = int(c)
d = int(d)
if a == "=":
for i in range(b, c + 1):
mas[i - 1] = d
else:
k = 0
for i in range(b, c + 1):
k += (mas[i - 1] * (i - b + 1) ** d)%1000000007
print(k)
``` | instruction | 0 | 60,985 | 5 | 121,970 |
No | output | 1 | 60,985 | 5 | 121,971 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've got an array, consisting of n integers: a1, a2, ..., an. Your task is to quickly run the queries of two types:
1. Assign value x to all elements from l to r inclusive. After such query the values of the elements of array al, al + 1, ..., ar become equal to x.
2. Calculate and print sum <image>, where k doesn't exceed 5. As the value of the sum can be rather large, you should print it modulo 1000000007 (109 + 7).
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 105), showing, how many numbers are in the array and the number of queries, correspondingly. The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 109) — the initial values of the array elements.
Then m queries follow, one per line:
1. The assign query has the following format: "<image>", (1 ≤ l ≤ r ≤ n; 0 ≤ x ≤ 109).
2. The query to calculate the sum has the following format: "<image>", (1 ≤ l ≤ r ≤ n; 0 ≤ k ≤ 5).
All numbers in the input are integers.
Output
For each query to calculate the sum print an integer — the required sum modulo 1000000007 (109 + 7).
Examples
Input
4 5
5 10 2 1
? 1 2 1
= 2 2 0
? 2 4 3
= 1 4 1
? 1 4 5
Output
25
43
1300
Input
3 1
1000000000 1000000000 1000000000
? 1 3 0
Output
999999986
Submitted Solution:
```
n, m = map(int, input().split())
mas = list(map(int, input().split()))
for i in range(m):
a, b, c, d = map(str, input().split())
b = int(b)
c = int(c)
d = int(d)
if a == "=":
for i in range(b, c + 1):
mas[i - 1] = d
else:
k = 0
for i in range(b, c + 1):
k += mas[i - 1] * (i - b + 1) ** d
print(k)
``` | instruction | 0 | 60,986 | 5 | 121,972 |
No | output | 1 | 60,986 | 5 | 121,973 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You've got an array, consisting of n integers: a1, a2, ..., an. Your task is to quickly run the queries of two types:
1. Assign value x to all elements from l to r inclusive. After such query the values of the elements of array al, al + 1, ..., ar become equal to x.
2. Calculate and print sum <image>, where k doesn't exceed 5. As the value of the sum can be rather large, you should print it modulo 1000000007 (109 + 7).
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 105), showing, how many numbers are in the array and the number of queries, correspondingly. The second line contains n integers: a1, a2, ..., an (0 ≤ ai ≤ 109) — the initial values of the array elements.
Then m queries follow, one per line:
1. The assign query has the following format: "<image>", (1 ≤ l ≤ r ≤ n; 0 ≤ x ≤ 109).
2. The query to calculate the sum has the following format: "<image>", (1 ≤ l ≤ r ≤ n; 0 ≤ k ≤ 5).
All numbers in the input are integers.
Output
For each query to calculate the sum print an integer — the required sum modulo 1000000007 (109 + 7).
Examples
Input
4 5
5 10 2 1
? 1 2 1
= 2 2 0
? 2 4 3
= 1 4 1
? 1 4 5
Output
25
43
1300
Input
3 1
1000000000 1000000000 1000000000
? 1 3 0
Output
999999986
Submitted Solution:
```
n, m = map(int, input().split())
mas = list(map(int, input().split()))
vv = []
for i in range(m):
a, b, c, d = map(str, input().split())
b = int(b)
c = int(c)
d = int(d)
if a == "=":
for i in range(b, c + 1):
mas[i - 1] = d
print(mas)
elif a == "?":
k = 0
for i in range(b, c + 1):
k += mas[i - 1] * (i - b + 1) ** d
print(mas)
vv.append(k % 1000000007)
for i in range(len(vv)):
print(vv[i])
``` | instruction | 0 | 60,987 | 5 | 121,974 |
No | output | 1 | 60,987 | 5 | 121,975 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Sereja has a sequence that consists of n positive integers, a1, a2, ..., an.
First Sereja took a piece of squared paper and wrote all distinct non-empty non-decreasing subsequences of sequence a. Then for each sequence written on the squared paper, Sereja wrote on a piece of lines paper all sequences that do not exceed it.
A sequence of positive integers x = x1, x2, ..., xr doesn't exceed a sequence of positive integers y = y1, y2, ..., yr, if the following inequation holds: x1 ≤ y1, x2 ≤ y2, ..., xr ≤ yr.
Now Sereja wonders, how many sequences are written on the lines piece of paper. Help Sereja, find the required quantity modulo 1000000007 (109 + 7).
Input
The first line contains integer n (1 ≤ n ≤ 105). The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 106).
Output
In the single line print the answer to the problem modulo 1000000007 (109 + 7).
Examples
Input
1
42
Output
42
Input
3
1 2 2
Output
13
Input
5
1 2 3 4 5
Output
719
Submitted Solution:
```
class FenwickTree(object):
"""Interface for Binary-Indexed Tree, which stores
cumulative frequency tables. Note that original data
is not preserved in this data structure.
Construction takes O(n lg n) time;
Item access takes O(lg n) time;
Item update takes O(lg n) time."""
def __init__(self):
self.tree = [0]
def __len__(self):
return len(self.tree) - 1
def __getitem__(self, key):
"""
Example: In list [1,2,3,4], FT[3] returns 6.
:param key: 1-based index
:return: cumulative sum up to key-th item
"""
psum = 0
while key > 0:
psum += self.tree[key]
key -= (key & -key)
return psum
def add(self, key, value):
"""
Example: FT.add(3,5) modifies list [1,2,3,4] to [1,2,8,4]
:param key: 1-based index
:param value: value to be modified to
:return: None
"""
while key <= len(self):
self.tree[key] += value
key += (key & -key)
def append(self, value):
"""
Example: FT.append(5) turns list [1,2,3,4] to [1,2,3,4,5]
:param value: value to be appended
:return: None
"""
ln = len(self)
large = self[ln]
small = self[(ln + 1) - ((ln + 1) & -(ln + 1))]
self.tree.append(large - small + value)
# Above imported from Common Algorithms library.
n = int(input())
a = sorted(map(int, input().split()))
q = [0] * (a[-1] + 1)
FT = FenwickTree()
for x in q:
FT.append(x)
for x in a:
v = FT[x] * x + x
FT.add(x, v - q[x])
q[x] = v
print(FT[a[-1]])
``` | instruction | 0 | 60,988 | 5 | 121,976 |
No | output | 1 | 60,988 | 5 | 121,977 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Sereja has a sequence that consists of n positive integers, a1, a2, ..., an.
First Sereja took a piece of squared paper and wrote all distinct non-empty non-decreasing subsequences of sequence a. Then for each sequence written on the squared paper, Sereja wrote on a piece of lines paper all sequences that do not exceed it.
A sequence of positive integers x = x1, x2, ..., xr doesn't exceed a sequence of positive integers y = y1, y2, ..., yr, if the following inequation holds: x1 ≤ y1, x2 ≤ y2, ..., xr ≤ yr.
Now Sereja wonders, how many sequences are written on the lines piece of paper. Help Sereja, find the required quantity modulo 1000000007 (109 + 7).
Input
The first line contains integer n (1 ≤ n ≤ 105). The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 106).
Output
In the single line print the answer to the problem modulo 1000000007 (109 + 7).
Examples
Input
1
42
Output
42
Input
3
1 2 2
Output
13
Input
5
1 2 3 4 5
Output
719
Submitted Solution:
```
class BinaryIndexedTree(object):
def __init__(self, list_a):
self.list_a = [0] * len(list_a)
self.list_c = [0] * len(list_a)
self.length = len(list_a)
for i in range(self.length):
self.update(i, list_a[i])
def lowbit(self, i):
return i & -i
def update(self, pos, val):
self.list_a[pos] = self.list_a[pos] + val
while pos < len(self.list_a):
self.list_c[pos] = self.list_c[pos] + val
pos = pos + self.lowbit(pos + 1)
def query(self, pos):
sum = 0
while pos >= 0:
sum = sum + self.list_c[pos]
pos = pos - self.lowbit(pos + 1)
return sum
if __name__ == '__main__':
n = int(input())
a = list(map(int, input().split()))
tree = BinaryIndexedTree([0] * 100001)
for i in range(n):
s = tree.query(a[i]) * a[i] + a[i]
delta = tree.query(a[i]) - tree.query(a[i] - 1)
tree.update(a[i], s - delta)
print(tree.query(100000))
``` | instruction | 0 | 60,989 | 5 | 121,978 |
No | output | 1 | 60,989 | 5 | 121,979 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Sereja has a sequence that consists of n positive integers, a1, a2, ..., an.
First Sereja took a piece of squared paper and wrote all distinct non-empty non-decreasing subsequences of sequence a. Then for each sequence written on the squared paper, Sereja wrote on a piece of lines paper all sequences that do not exceed it.
A sequence of positive integers x = x1, x2, ..., xr doesn't exceed a sequence of positive integers y = y1, y2, ..., yr, if the following inequation holds: x1 ≤ y1, x2 ≤ y2, ..., xr ≤ yr.
Now Sereja wonders, how many sequences are written on the lines piece of paper. Help Sereja, find the required quantity modulo 1000000007 (109 + 7).
Input
The first line contains integer n (1 ≤ n ≤ 105). The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 106).
Output
In the single line print the answer to the problem modulo 1000000007 (109 + 7).
Examples
Input
1
42
Output
42
Input
3
1 2 2
Output
13
Input
5
1 2 3 4 5
Output
719
Submitted Solution:
```
n = input()
s = input()
a = list(map(int, s.strip().split()))
d = [0]*len(a)
sumn = 0
for i in reversed(range(len(a))):
cnt = a[i]
seen = set()
for j in reversed(range(i + 1, len(a))):
if a[j] >= a[i]:
if a[j] not in seen:
cnt += d[j] * a[i]
seen.add(a[j])
else:
cnt += a[j]
d[i] = cnt
sumn += cnt
print(sumn)
``` | instruction | 0 | 60,990 | 5 | 121,980 |
No | output | 1 | 60,990 | 5 | 121,981 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Sereja has a sequence that consists of n positive integers, a1, a2, ..., an.
First Sereja took a piece of squared paper and wrote all distinct non-empty non-decreasing subsequences of sequence a. Then for each sequence written on the squared paper, Sereja wrote on a piece of lines paper all sequences that do not exceed it.
A sequence of positive integers x = x1, x2, ..., xr doesn't exceed a sequence of positive integers y = y1, y2, ..., yr, if the following inequation holds: x1 ≤ y1, x2 ≤ y2, ..., xr ≤ yr.
Now Sereja wonders, how many sequences are written on the lines piece of paper. Help Sereja, find the required quantity modulo 1000000007 (109 + 7).
Input
The first line contains integer n (1 ≤ n ≤ 105). The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 106).
Output
In the single line print the answer to the problem modulo 1000000007 (109 + 7).
Examples
Input
1
42
Output
42
Input
3
1 2 2
Output
13
Input
5
1 2 3 4 5
Output
719
Submitted Solution:
```
n = input()
s = input()
a = list(map(int, s.strip().split()))
d = [0]*len(a)
sumn = 0
for i in reversed(range(len(a))):
cnt = a[i]
seen = set()
for j in reversed(range(i + 1, len(a))):
if a[j] >= a[i]:
if a[j] not in seen:
cnt += d[j] * a[i]
seen.add(a[j])
else:
cnt += a[j]
d[i] = cnt
sumn += cnt
print(sumn % 1000000007)
``` | instruction | 0 | 60,991 | 5 | 121,982 |
No | output | 1 | 60,991 | 5 | 121,983 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer sequence of length N: A_1,A_2,...,A_N. Let us perform Q operations in order. The i-th operation is described by two integers X_i and Y_i. In this operation, we will choose one of the following two actions and perform it:
* Swap the values of A_{X_i} and A_{Y_i}
* Do nothing
There are 2^Q ways to perform these operations. Find the sum of the inversion numbers of the final sequences for all of these ways to perform operations, modulo 10^9+7.
Here, the inversion number of a sequence P_1,P_2,...,P_M is the number of pairs of integers (i,j) such that 1\leq i < j\leq M and P_i > P_j.
Constraints
* 1 \leq N \leq 3000
* 0 \leq Q \leq 3000
* 0 \leq A_i \leq 10^9(1\leq i\leq N)
* 1 \leq X_i,Y_i \leq N(1\leq i\leq Q)
* X_i\neq Y_i(1\leq i\leq Q)
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N Q
A_1
:
A_N
X_1 Y_1
:
X_Q Y_Q
Output
Print the sum of the inversion numbers of the final sequences, modulo 10^9+7.
Examples
Input
3 2
1
2
3
1 2
1 3
Output
6
Input
5 3
3
2
3
1
4
1 5
2 3
4 2
Output
36
Input
9 5
3
1
4
1
5
9
2
6
5
3 5
8 9
7 9
3 2
3 8
Output
425 | instruction | 0 | 61,315 | 5 | 122,630 |
"Correct Solution:
```
import sys
n, q = list(map(int, input().split()))
MOD = 10 ** 9 + 7
INV2 = (MOD + 1) // 2
lines = sys.stdin.readlines()
aaa = list(map(int, lines[:n]))
mat = [[0] * n for _ in [0] * n]
for i in range(n):
for j in range(n):
mat[i][j] = int(aaa[i] < aaa[j])
# print(*mat, sep='\n')
for line in lines[n:]:
x, y = map(int, line.split())
x -= 1
y -= 1
mat[x][y] = mat[y][x] = (mat[x][y] + mat[y][x]) * INV2 % MOD
for i in range(n):
if i == x or i == y:
continue
mat[x][i] = mat[y][i] = (mat[x][i] + mat[y][i]) * INV2 % MOD
mat[i][x] = mat[i][y] = (mat[i][x] + mat[i][y]) * INV2 % MOD
# print(x, y)
# print(*mat, sep='\n')
ans = sum(sum(row[:i]) for i, row in enumerate(mat)) % MOD
ans = (ans << q) % MOD
print(ans)
``` | output | 1 | 61,315 | 5 | 122,631 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer sequence of length N: A_1,A_2,...,A_N. Let us perform Q operations in order. The i-th operation is described by two integers X_i and Y_i. In this operation, we will choose one of the following two actions and perform it:
* Swap the values of A_{X_i} and A_{Y_i}
* Do nothing
There are 2^Q ways to perform these operations. Find the sum of the inversion numbers of the final sequences for all of these ways to perform operations, modulo 10^9+7.
Here, the inversion number of a sequence P_1,P_2,...,P_M is the number of pairs of integers (i,j) such that 1\leq i < j\leq M and P_i > P_j.
Constraints
* 1 \leq N \leq 3000
* 0 \leq Q \leq 3000
* 0 \leq A_i \leq 10^9(1\leq i\leq N)
* 1 \leq X_i,Y_i \leq N(1\leq i\leq Q)
* X_i\neq Y_i(1\leq i\leq Q)
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N Q
A_1
:
A_N
X_1 Y_1
:
X_Q Y_Q
Output
Print the sum of the inversion numbers of the final sequences, modulo 10^9+7.
Examples
Input
3 2
1
2
3
1 2
1 3
Output
6
Input
5 3
3
2
3
1
4
1 5
2 3
4 2
Output
36
Input
9 5
3
1
4
1
5
9
2
6
5
3 5
8 9
7 9
3 2
3 8
Output
425 | instruction | 0 | 61,316 | 5 | 122,632 |
"Correct Solution:
```
import sys
readline = sys.stdin.readline
MOD = 10**9+7
N, Q = map(int, readline().split())
A = [int(readline()) for _ in range(N)]
dp = [[0]*N for _ in range(N)]
tinv = pow(2, MOD-2, MOD)
for i in range(N):
for j in range(N):
if A[i] > A[j]:
dp[i][j] = 1
for q in range(Q):
x, y = map(int, readline().split())
x -= 1
y -= 1
dxy = dp[x][y]
dyx = dp[y][x]
ix = [None]*N
iy = [None]*N
xi = [None]*N
yi = [None]*N
for i in range(N):
r1 = (dp[i][x] + dp[i][y])*tinv%MOD
ix[i] = r1
iy[i] = r1
r2 = (dp[x][i] + dp[y][i])*tinv%MOD
xi[i] = r2
yi[i] = r2
for i in range(N):
dp[x][i] = xi[i]
dp[y][i] = yi[i]
dp[i][x] = ix[i]
dp[i][y] = iy[i]
dp[x][y] = (dxy + dyx)*tinv%MOD
dp[y][x] = dp[x][y]
dp[x][x] = 0
dp[y][y] = 0
res = 0
for i in range(N):
for j in range(i+1, N):
res = (res+dp[i][j])%MOD
print(res*pow(2, Q, MOD)%MOD)
``` | output | 1 | 61,316 | 5 | 122,633 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N: A_1,A_2,...,A_N. Let us perform Q operations in order. The i-th operation is described by two integers X_i and Y_i. In this operation, we will choose one of the following two actions and perform it:
* Swap the values of A_{X_i} and A_{Y_i}
* Do nothing
There are 2^Q ways to perform these operations. Find the sum of the inversion numbers of the final sequences for all of these ways to perform operations, modulo 10^9+7.
Here, the inversion number of a sequence P_1,P_2,...,P_M is the number of pairs of integers (i,j) such that 1\leq i < j\leq M and P_i > P_j.
Constraints
* 1 \leq N \leq 3000
* 0 \leq Q \leq 3000
* 0 \leq A_i \leq 10^9(1\leq i\leq N)
* 1 \leq X_i,Y_i \leq N(1\leq i\leq Q)
* X_i\neq Y_i(1\leq i\leq Q)
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N Q
A_1
:
A_N
X_1 Y_1
:
X_Q Y_Q
Output
Print the sum of the inversion numbers of the final sequences, modulo 10^9+7.
Examples
Input
3 2
1
2
3
1 2
1 3
Output
6
Input
5 3
3
2
3
1
4
1 5
2 3
4 2
Output
36
Input
9 5
3
1
4
1
5
9
2
6
5
3 5
8 9
7 9
3 2
3 8
Output
425
Submitted Solution:
```
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
"""
・逆再生
・各時点に対して、「(Ai,Aj)がjが右になって終わる確率」を計算していく
"""
import numpy as np
MOD = 10**9 + 7
N,Q = map(int,readline().split())
data = list(map(int,read().split()))
A = np.array(data[:N])
it = iter(data[N:])
XY = list(zip(it,it))
dp = np.triu(np.ones((N,N),np.int64),1)
for x,y in XY[::-1]:
x -= 1; y -= 1
p=dp[x,y]; q=dp[y,x]; r=p+q
if r&1:
r += MOD
r //= 2
if r>=MOD:
r -= MOD
temp = dp[x]
temp += dp[y]
temp[temp&1==1] += MOD; temp//=2; temp[temp>=MOD] -= MOD; dp[y] = temp
temp = dp[:,x]
temp += dp[:,y]
temp[temp&1==1] += MOD; temp//=2; temp[temp>=MOD] -= MOD; dp[:,y] = temp
dp[x,y]=r; dp[y,x]=r; dp[x,x]=0; dp[y,y]=0
select = A[:,None]>A[None,:]
answer = (dp*select).sum()*pow(2,Q,MOD)%MOD
print(answer)
``` | instruction | 0 | 61,317 | 5 | 122,634 |
No | output | 1 | 61,317 | 5 | 122,635 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N: A_1,A_2,...,A_N. Let us perform Q operations in order. The i-th operation is described by two integers X_i and Y_i. In this operation, we will choose one of the following two actions and perform it:
* Swap the values of A_{X_i} and A_{Y_i}
* Do nothing
There are 2^Q ways to perform these operations. Find the sum of the inversion numbers of the final sequences for all of these ways to perform operations, modulo 10^9+7.
Here, the inversion number of a sequence P_1,P_2,...,P_M is the number of pairs of integers (i,j) such that 1\leq i < j\leq M and P_i > P_j.
Constraints
* 1 \leq N \leq 3000
* 0 \leq Q \leq 3000
* 0 \leq A_i \leq 10^9(1\leq i\leq N)
* 1 \leq X_i,Y_i \leq N(1\leq i\leq Q)
* X_i\neq Y_i(1\leq i\leq Q)
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N Q
A_1
:
A_N
X_1 Y_1
:
X_Q Y_Q
Output
Print the sum of the inversion numbers of the final sequences, modulo 10^9+7.
Examples
Input
3 2
1
2
3
1 2
1 3
Output
6
Input
5 3
3
2
3
1
4
1 5
2 3
4 2
Output
36
Input
9 5
3
1
4
1
5
9
2
6
5
3 5
8 9
7 9
3 2
3 8
Output
425
Submitted Solution:
```
N = 3005
MOD = 1000 * 1000 * 1000 + 7
n , m = map(int, input().split())
a = [int(input()) for i in range(n)]
qu = [map(int, input().split()) for i in range(m)]
p2 = [1]
for i in range(N) :
p2.append(p2[i] * 2 % MOD)
f = [[0 for i in range(n)] for j in range(n)]
for i in range(n) :
for j in range(n) :
f[i][j] = 1 if a[i] > a[j] else 0
rev2 = (MOD + 1) // 2
for use in range(m) :
x, y = qu[use]
x = x - 1
y = y - 1
for z in range(n) :
if (z != x and z != y) :
sumzx = (f[z][x] + f[z][y]) * rev2 % MOD
sumxz = (f[x][z] + f[y][z]) * rev2 % MOD
f[z][x] = f[z][y] = sumzx
f[x][z] = f[y][z] = sumxz
sumxy = (f[x][y] + f[y][x]) * rev2 % MOD
f[x][y] = f[y][x] = sumxy % MOD
ans = 0
for i in range(n) :
for j in range(i) :
ans = (ans + f[j][i]) % MOD
print(ans * p2[m] % MOD)
``` | instruction | 0 | 61,318 | 5 | 122,636 |
No | output | 1 | 61,318 | 5 | 122,637 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N: A_1,A_2,...,A_N. Let us perform Q operations in order. The i-th operation is described by two integers X_i and Y_i. In this operation, we will choose one of the following two actions and perform it:
* Swap the values of A_{X_i} and A_{Y_i}
* Do nothing
There are 2^Q ways to perform these operations. Find the sum of the inversion numbers of the final sequences for all of these ways to perform operations, modulo 10^9+7.
Here, the inversion number of a sequence P_1,P_2,...,P_M is the number of pairs of integers (i,j) such that 1\leq i < j\leq M and P_i > P_j.
Constraints
* 1 \leq N \leq 3000
* 0 \leq Q \leq 3000
* 0 \leq A_i \leq 10^9(1\leq i\leq N)
* 1 \leq X_i,Y_i \leq N(1\leq i\leq Q)
* X_i\neq Y_i(1\leq i\leq Q)
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N Q
A_1
:
A_N
X_1 Y_1
:
X_Q Y_Q
Output
Print the sum of the inversion numbers of the final sequences, modulo 10^9+7.
Examples
Input
3 2
1
2
3
1 2
1 3
Output
6
Input
5 3
3
2
3
1
4
1 5
2 3
4 2
Output
36
Input
9 5
3
1
4
1
5
9
2
6
5
3 5
8 9
7 9
3 2
3 8
Output
425
Submitted Solution:
```
import sys
n, q = list(map(int, input().split()))
MOD = 10 ** 9 + 7
INV2 = (MOD + 1) // 2
lines = sys.stdin.readlines()
aaa = list(map(int, lines[:n]))
mat = [[0] * n for _ in [0] * n]
for i in range(n):
for j in range(n):
mat[i][j] = int(aaa[i] < aaa[j])
# print(*mat, sep='\n')
for line in lines[n:]:
x, y = map(int, line.split())
x -= 1
y -= 1
mat[x][y] = mat[y][x] = (mat[x][y] + mat[y][x]) * INV2 % MOD
for i in range(n):
if i == x or i == y:
continue
mat[x][i] = mat[y][i] = (mat[x][i] + mat[y][i]) * INV2 % MOD
mat[i][x] = mat[i][y] = (mat[i][x] + mat[i][y]) * INV2 % MOD
# print(x, y)
# print(*mat, sep='\n')
ans = sum(sum(row[:i]) for i, row in enumerate(mat)) % MOD
ans = (ans << q) % MOD
print(ans)
``` | instruction | 0 | 61,319 | 5 | 122,638 |
No | output | 1 | 61,319 | 5 | 122,639 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N: A_1,A_2,...,A_N. Let us perform Q operations in order. The i-th operation is described by two integers X_i and Y_i. In this operation, we will choose one of the following two actions and perform it:
* Swap the values of A_{X_i} and A_{Y_i}
* Do nothing
There are 2^Q ways to perform these operations. Find the sum of the inversion numbers of the final sequences for all of these ways to perform operations, modulo 10^9+7.
Here, the inversion number of a sequence P_1,P_2,...,P_M is the number of pairs of integers (i,j) such that 1\leq i < j\leq M and P_i > P_j.
Constraints
* 1 \leq N \leq 3000
* 0 \leq Q \leq 3000
* 0 \leq A_i \leq 10^9(1\leq i\leq N)
* 1 \leq X_i,Y_i \leq N(1\leq i\leq Q)
* X_i\neq Y_i(1\leq i\leq Q)
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N Q
A_1
:
A_N
X_1 Y_1
:
X_Q Y_Q
Output
Print the sum of the inversion numbers of the final sequences, modulo 10^9+7.
Examples
Input
3 2
1
2
3
1 2
1 3
Output
6
Input
5 3
3
2
3
1
4
1 5
2 3
4 2
Output
36
Input
9 5
3
1
4
1
5
9
2
6
5
3 5
8 9
7 9
3 2
3 8
Output
425
Submitted Solution:
```
def selection(elems, low, high):
num_swap = 0
ns_l = 0
ns_r = 0
if(low < high):
pos, num_swap = partition(elems,low, high)
ns_l = selection(elems, low, pos-1)
ns_r = selection(elems, pos+1, high)
return num_swap + ns_l + ns_r
def partition(elems, low, high):
pivot = elems[low]
num_swap = 0
lower_end = low
i = low+1
while(i <= high):
if(elems[i] < pivot):
tmp = elems[lower_end]
elems[lower_end] = elems[i]
elems[i] = tmp
#if(i != higher_start):
num_swap += 1
lower_end += 1
i += 1
elems[lower_end] = pivot
return lower_end, num_swap
def swap_list(dl, idx1, idx2):
tmp = dl[idx1]
dl[idx1] = dl[idx2]
dl[idx2] = tmp
def dec2binary(dec):
q = dec//2
r = dec % 2
binary_list = [r]
while(q != 0):
r = q % 2
q = q // 2
binary_list.append(r)
return binary_list # get the reserved binary_list
def main():
N, Q =[int(each) for each in input().split()]
dl = []
operation = []
for i in range(N):
dl.append(int(input().strip()))
for i in range(Q):
operation.append([int(each) for each in input().split()])
print('dl ', dl)
total_num = 0
for i in range(2**Q):
valid_opr = dec2binary(i)
swap_dl = []
for m in range(N):
swap_dl.append(dl[m])
for j in range(len(operation)):
idx1 = operation[j][0] - 1
idx2 = operation[j][1] - 1
if(j < len(valid_opr) and valid_opr[j] == 1):
swap_list(swap_dl, idx1, idx2)
elif(j >= len(valid_opr)):
break
tmp_num = selection(swap_dl, 0, len(swap_dl)-1)
#print('for {} , the inversion num {}'.format(swap_dl , tmp_num))
total_num += tmp_num
print(total_num)
return total_num
if __name__ == '__main__':
main()
``` | instruction | 0 | 61,320 | 5 | 122,640 |
No | output | 1 | 61,320 | 5 | 122,641 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi and Aoki love calculating things, so they will play with numbers now.
First, they came up with one positive integer each. Takahashi came up with X, and Aoki came up with Y. Then, they will enjoy themselves by repeating the following operation K times:
* Compute the bitwise AND of the number currently kept by Takahashi and the number currently kept by Aoki. Let Z be the result.
* Then, add Z to both of the numbers kept by Takahashi and Aoki.
However, it turns out that even for the two math maniacs this is just too much work. Could you find the number that would be kept by Takahashi and the one that would be kept by Aoki eventually?
Note that input and output are done in binary. Especially, X and Y are given as strings S and T of length N and M consisting of `0` and `1`, respectively, whose initial characters are guaranteed to be `1`.
Constraints
* 1 ≤ K ≤ 10^6
* 1 ≤ N,M ≤ 10^6
* The initial characters of S and T are `1`.
Input
Input is given from Standard Input in the following format:
N M K
S
T
Output
In the first line, print the number that would be kept by Takahashi eventually; in the second line, print the number that would be kept by Aoki eventually. Those numbers should be represented in binary and printed as strings consisting of `0` and `1` that begin with `1`.
Examples
Input
2 3 3
11
101
Output
10000
10010
Input
5 8 3
10101
10101001
Output
100000
10110100
Input
10 10 10
1100110011
1011001101
Output
10000100000010001000
10000100000000100010
Submitted Solution:
```
import sys
from functools import reduce
n, m, k = map(int, input().split(" "))
x = int(input(), 2)
y = int(input(), 2)
b2i = (lambda n: reduce((lambda x, y: (x << 1) | y), map(int, list(n))))
for _ in range(k):
z = x & y
x, y = x + z, y + z
print(bin(x)[2:])
print(bin(y)[2:])
``` | instruction | 0 | 61,325 | 5 | 122,650 |
No | output | 1 | 61,325 | 5 | 122,651 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,328 | 5 | 122,656 |
"Correct Solution:
```
import collections
n,k=map(int,input().split())
c=list(map(int,input().split()))
l=collections.Counter(c)
s=l.most_common()
p=[]
if len(s)<=k:
print(0)
else:
d=0
for a,b in s[:k]:
d+=b
print(n-d)
``` | output | 1 | 61,328 | 5 | 122,657 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,329 | 5 | 122,658 |
"Correct Solution:
```
import collections,sys
def LI(): return list(map(int,sys.stdin.readline().rstrip().split()))
N,K = LI()
A = collections.Counter(LI())
count_A = sorted([v for v in A.values()])
remainder = max(0,len(A)-K)
print(sum(count_A[:remainder]))
``` | output | 1 | 61,329 | 5 | 122,659 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,330 | 5 | 122,660 |
"Correct Solution:
```
import collections
n,k = map(int,input().split())
a = list(map(int,input().split()))
l = collections.Counter(a)
l = list(l.values())
l.sort(reverse = True)
print(sum(l[k:]))
``` | output | 1 | 61,330 | 5 | 122,661 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,331 | 5 | 122,662 |
"Correct Solution:
```
eN, K = map(int, input().split())
d = {}
for a in input().split():
a = int(a)
d[a] = d.get(a, 0) + 1
if len(d) <= K:
print(0)
else:
aa = list(sorted(d, key=lambda a: d[a]))
print(sum(d[a] for a in aa[:len(aa)-K]))
``` | output | 1 | 61,331 | 5 | 122,663 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,332 | 5 | 122,664 |
"Correct Solution:
```
n,k=map(int,input().split())
d=[0 for i in range(200001)]
for i in map(int,input().split()):
d[i]+=1
d=sorted(d)
ans=0
for i in range(200001-k):
ans+=d[i]
print(ans)
``` | output | 1 | 61,332 | 5 | 122,665 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,333 | 5 | 122,666 |
"Correct Solution:
```
from collections import Counter
n,k = map(int,input().split())
L = list( map(int,input().split()))
l = len(L)
L = Counter(L)
L = sorted(list(L.most_common(k)))
ans = 0
for i in range(len(L)):
ans += L[i][1]
print(l - ans)
``` | output | 1 | 61,333 | 5 | 122,667 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,334 | 5 | 122,668 |
"Correct Solution:
```
n,k=map(int,input().split())
a=list(map(int,input().split()))
l=[0 for i in range(n)]
for i in range(n):
l[a[i]-1]+=1
l.sort()
ans=0
for i in range(n-k):
ans+=l[i]
print(ans)
``` | output | 1 | 61,334 | 5 | 122,669 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3 | instruction | 0 | 61,335 | 5 | 122,670 |
"Correct Solution:
```
import collections
N, K = map(int, input().split())
A = list(map(int, input().split()))
C = collections.Counter(A)
if len(C) <= K:
print(0)
else:
ret = 0
for c in C.most_common()[K:]:
ret += c[1]
print(ret)
``` | output | 1 | 61,335 | 5 | 122,671 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3
Submitted Solution:
```
from collections import defaultdict
n, k, *a = map(int, open(0).read().split())
d = defaultdict(int)
for b in a:
d[b] += 1
v = sorted(d.values())[::-1]
c = 0
for i in range(min(k, len(v))):
c += v[i]
print(n - c)
``` | instruction | 0 | 61,336 | 5 | 122,672 |
Yes | output | 1 | 61,336 | 5 | 122,673 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has N balls. Initially, an integer A_i is written on the i-th ball.
He would like to rewrite the integer on some balls so that there are at most K different integers written on the N balls.
Find the minimum number of balls that Takahashi needs to rewrite the integers on them.
Constraints
* 1 \leq K \leq N \leq 200000
* 1 \leq A_i \leq N
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of balls that Takahashi needs to rewrite the integers on them.
Examples
Input
5 2
1 1 2 2 5
Output
1
Input
4 4
1 1 2 2
Output
0
Input
10 3
5 1 3 2 4 1 1 2 3 4
Output
3
Submitted Solution:
```
import collections
def inpl(): return [int(i) for i in input().split()]
N, K = inpl()
A = list(sorted(collections.Counter(inpl()).values()))
if len(A) <= K:
print(0)
else:
print(sum(A[:len(A)-K]))
``` | instruction | 0 | 61,337 | 5 | 122,674 |
Yes | output | 1 | 61,337 | 5 | 122,675 |
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