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.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and reverse specified elements by a list of the following operation:
* reverse($b, e$): reverse the order of $a_b, a_{b+1}, ..., a_{e-1}$
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b < e \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; e_1$
$b_2 \; e_2$
:
$b_{q} \; b_{q}$
In the first line, $n$ (the number of elements in $A$) is given. In the second line, $a_i$ (each element in $A$) are given. In the third line, the number of queries $q$ is given and each query is given by two integers $b_i \; e_i$ in the following $q$ lines.
Output
Print all elements of $A$ in a line after performing the given operations. Put a single space character between adjacency elements and a newline at the end of the last element.
Example
Input
8
1 2 3 4 5 6 7 8
2
1 6
3 8
Output
1 6 5 8 7 2 3 4
Submitted Solution:
```
n = int(input())
*a, = map(int, input().split())
q = int(input())
while q:
q -= 1
l, r = map(int, input().split())
a[l:r] = a[l:r][::-1]
print(*a)
``` | instruction | 0 | 33,314 | 5 | 66,628 |
Yes | output | 1 | 33,314 | 5 | 66,629 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and reverse specified elements by a list of the following operation:
* reverse($b, e$): reverse the order of $a_b, a_{b+1}, ..., a_{e-1}$
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b < e \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; e_1$
$b_2 \; e_2$
:
$b_{q} \; b_{q}$
In the first line, $n$ (the number of elements in $A$) is given. In the second line, $a_i$ (each element in $A$) are given. In the third line, the number of queries $q$ is given and each query is given by two integers $b_i \; e_i$ in the following $q$ lines.
Output
Print all elements of $A$ in a line after performing the given operations. Put a single space character between adjacency elements and a newline at the end of the last element.
Example
Input
8
1 2 3 4 5 6 7 8
2
1 6
3 8
Output
1 6 5 8 7 2 3 4
Submitted Solution:
```
from sys import stdin
n = int(stdin.readline())
l = list(stdin.readline().split())
q = int(stdin.readline())
for i in range(q):
inp_l = list(map(int,stdin.readline().split()))
j = inp_l[0]
k = inp_l[1] - 1
while True:
if j >= k:
break
l[j],l[k] = l[k],l[j]
k -= 1
j += 1
print(' '.join(l))
``` | instruction | 0 | 33,315 | 5 | 66,630 |
Yes | output | 1 | 33,315 | 5 | 66,631 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and reverse specified elements by a list of the following operation:
* reverse($b, e$): reverse the order of $a_b, a_{b+1}, ..., a_{e-1}$
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b < e \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; e_1$
$b_2 \; e_2$
:
$b_{q} \; b_{q}$
In the first line, $n$ (the number of elements in $A$) is given. In the second line, $a_i$ (each element in $A$) are given. In the third line, the number of queries $q$ is given and each query is given by two integers $b_i \; e_i$ in the following $q$ lines.
Output
Print all elements of $A$ in a line after performing the given operations. Put a single space character between adjacency elements and a newline at the end of the last element.
Example
Input
8
1 2 3 4 5 6 7 8
2
1 6
3 8
Output
1 6 5 8 7 2 3 4
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
m = int(input())
for _ in range(m):
b,c = map(int,input().split())
a[b:c] = reversed(a[b:c])
print (' '.join(map(str,a)))
``` | instruction | 0 | 33,316 | 5 | 66,632 |
Yes | output | 1 | 33,316 | 5 | 66,633 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and reverse specified elements by a list of the following operation:
* reverse($b, e$): reverse the order of $a_b, a_{b+1}, ..., a_{e-1}$
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b < e \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; e_1$
$b_2 \; e_2$
:
$b_{q} \; b_{q}$
In the first line, $n$ (the number of elements in $A$) is given. In the second line, $a_i$ (each element in $A$) are given. In the third line, the number of queries $q$ is given and each query is given by two integers $b_i \; e_i$ in the following $q$ lines.
Output
Print all elements of $A$ in a line after performing the given operations. Put a single space character between adjacency elements and a newline at the end of the last element.
Example
Input
8
1 2 3 4 5 6 7 8
2
1 6
3 8
Output
1 6 5 8 7 2 3 4
Submitted Solution:
```
def run():
n = int(input())
li = input().split()
assert(len(li) == n)
q = int(input())
for _ in range(q):
b, e = [int(x) for x in input().split()]
li = li[:b] + li[e-1:b-1:-1] + li[e:]
print(" ".join(li))
if __name__ == '__main__':
run()
``` | instruction | 0 | 33,317 | 5 | 66,634 |
No | output | 1 | 33,317 | 5 | 66,635 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and reverse specified elements by a list of the following operation:
* reverse($b, e$): reverse the order of $a_b, a_{b+1}, ..., a_{e-1}$
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b < e \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; e_1$
$b_2 \; e_2$
:
$b_{q} \; b_{q}$
In the first line, $n$ (the number of elements in $A$) is given. In the second line, $a_i$ (each element in $A$) are given. In the third line, the number of queries $q$ is given and each query is given by two integers $b_i \; e_i$ in the following $q$ lines.
Output
Print all elements of $A$ in a line after performing the given operations. Put a single space character between adjacency elements and a newline at the end of the last element.
Example
Input
8
1 2 3 4 5 6 7 8
2
1 6
3 8
Output
1 6 5 8 7 2 3 4
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split(' ')))
q = int(input())
for i in range(q):
b, e = list(map(int, input().split(' ')))
a[b:e] = a[e-1:b-1:-1]
print(' '.join(list(map(str, a))))
``` | instruction | 0 | 33,318 | 5 | 66,636 |
No | output | 1 | 33,318 | 5 | 66,637 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
t = int(input())
for T in range(t):
x = input()
y = input()
x = "".join(reversed(x))
y = "".join(reversed(y))
y = y.index('1')
x = x[y:].index('1')
print(x)
``` | instruction | 0 | 33,427 | 5 | 66,854 |
Yes | output | 1 | 33,427 | 5 | 66,855 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
def trailing_zeros(str_val):
res = 0
for ch in reversed(str_val):
if ch == '0':
res += 1
else:
break
return res
def solve(x, y):
if len(x) == 0 or len(y) == 0:
return 0
if x[-1] == '1' and y[-1] == '1':
return 0
elif x[-1] == '1' and y[-1] == '0':
return solve(x[:-1], y[:-1])
else:
trailing_zeros_x = trailing_zeros(x)
trailing_zeros_y = trailing_zeros(y)
if trailing_zeros_x >= trailing_zeros_y:
return trailing_zeros_x - trailing_zeros_y
else:
return solve(x[:-trailing_zeros_y], y[:-trailing_zeros_y])
T = int(input())
for i in range(T):
x = input()
y = input()
print(solve(x, y))
``` | instruction | 0 | 33,428 | 5 | 66,856 |
Yes | output | 1 | 33,428 | 5 | 66,857 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
# kartikay26
from math import *
from collections import *
from itertools import *
from functools import *
from random import *
def getl(t=int): return [t(x) for x in input().split()]
def get(t=int): return t(input())
alphabet = [chr(x) for x in range(ord('a'), ord('z')+1)]
alnum = lambda x: ord(x) - ord('a')
def main():
for i in range(get()):
test()
def test():
x = input()
y = input()
y1, y2 = 0, 0
for i in range(len(y)):
if y[len(y)-i-1] == '1':
y1 = i
break
for i in range(y1, len(x)):
if x[len(x)-i-1] == '1':
y2 = i
break
print(y2-y1)
if __name__ == "__main__":
main()
``` | instruction | 0 | 33,429 | 5 | 66,858 |
Yes | output | 1 | 33,429 | 5 | 66,859 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
from sys import stdin
input = stdin.readline
t = int(input())
for _ in range(t):
x = input().rstrip()
y = input().rstrip()
for i in range(len(y)-1, -1, -1):
if y[i] == "1":
a = i
break
c = 0
for i in range(len(x) - (len(y) - a), -1, -1):
if x[i] == "1":
break
c += 1
print(c)
``` | instruction | 0 | 33,430 | 5 | 66,860 |
Yes | output | 1 | 33,430 | 5 | 66,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
# 1202A.py
for _ in range(int(input())):
x = input()
y = input()
ans = 0
count = 0
p = len(x)
for i in range(p):
if x[i] == '0' and i!=p-1:
count+=1
elif x[i] == '0' and i == p-1:
count+=1
ans = max(ans,count)
else:
ans = max(ans,count)
count = 0
q = len(y)
n = min(p,q)
common = 0
i = 0
while i<n:
if x[p-i-1] == y[q-i-1] and x[p-i-1] == '0':
common+=1
i+=1
if ans-common<0:
print(0)
continue
print(ans-common)
``` | instruction | 0 | 33,431 | 5 | 66,862 |
No | output | 1 | 33,431 | 5 | 66,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
import sys
##input = sys.stdin.readline
n = int(sys.stdin.readline())
for _ in range(n):
xBin = input()
yBin = input()
x = int(xBin, base=2)
y = int(yBin, base=2)
minStr = '2'
k = 0
for k in range(23):
s = x + y*(2**k)
sBin = str(bin(s))
sBin = sBin[::-1]
## print(k, sBin, x, y, s)
if minStr > sBin:
minStr = sBin
minK = k
print(minK)
``` | instruction | 0 | 33,432 | 5 | 66,864 |
No | output | 1 | 33,432 | 5 | 66,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
def f(x,y,k):
fy = y+"0"*k
z = int(x,2)+int(fy,2)
z = str(bin(z))[2:]
return z[::-1]
T = int(input())
for _ in range(T):
x = input()
y = input()
A = []
for k in range(1000):
A.append([f(x,y,k),k])
A.sort()
print(A[0][1])
``` | instruction | 0 | 33,433 | 5 | 66,866 |
No | output | 1 | 33,433 | 5 | 66,867 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two binary strings x and y, which are binary representations of some two integers (let's denote these integers as f(x) and f(y)). You can choose any integer k ≥ 0, calculate the expression s_k = f(x) + f(y) ⋅ 2^k and write the binary representation of s_k in reverse order (let's denote it as rev_k). For example, let x = 1010 and y = 11; you've chosen k = 1 and, since 2^1 = 10_2, so s_k = 1010_2 + 11_2 ⋅ 10_2 = 10000_2 and rev_k = 00001.
For given x and y, you need to choose such k that rev_k is lexicographically minimal (read notes if you don't know what does "lexicographically" means).
It's guaranteed that, with given constraints, k exists and is finite.
Input
The first line contains a single integer T (1 ≤ T ≤ 100) — the number of queries.
Next 2T lines contain a description of queries: two lines per query. The first line contains one binary string x, consisting of no more than 10^5 characters. Each character is either 0 or 1.
The second line contains one binary string y, consisting of no more than 10^5 characters. Each character is either 0 or 1.
It's guaranteed, that 1 ≤ f(y) ≤ f(x) (where f(x) is the integer represented by x, and f(y) is the integer represented by y), both representations don't have any leading zeroes, the total length of x over all queries doesn't exceed 10^5, and the total length of y over all queries doesn't exceed 10^5.
Output
Print T integers (one per query). For each query print such k that rev_k is lexicographically minimal.
Example
Input
4
1010
11
10001
110
1
1
1010101010101
11110000
Output
1
3
0
0
Note
The first query was described in the legend.
In the second query, it's optimal to choose k = 3. The 2^3 = 1000_2 so s_3 = 10001_2 + 110_2 ⋅ 1000_2 = 10001 + 110000 = 1000001 and rev_3 = 1000001. For example, if k = 0, then s_0 = 10111 and rev_0 = 11101, but rev_3 = 1000001 is lexicographically smaller than rev_0 = 11101.
In the third query s_0 = 10 and rev_0 = 01. For example, s_2 = 101 and rev_2 = 101. And 01 is lexicographically smaller than 101.
The quote from Wikipedia: "To determine which of two strings of characters comes when arranging in lexicographical order, their first letters are compared. If they differ, then the string whose first letter comes earlier in the alphabet comes before the other string. If the first letters are the same, then the second letters are compared, and so on. If a position is reached where one string has no more letters to compare while the other does, then the first (shorter) string is deemed to come first in alphabetical order."
Submitted Solution:
```
import sys
ulaz = [x.rstrip() for x in sys.stdin.readlines()]
for i in range(int(ulaz[0])):
x = ulaz[i*2+1]
y = ulaz[i*2+2]
rj = []
for z in range(0, 1000):
a = bin(int(x,2) + int(y,2) * 2**z)
a = a[:1:-1]
rj.append(str(a))
print(rj.index(sorted(rj)[0]))
``` | instruction | 0 | 33,434 | 5 | 66,868 |
No | output | 1 | 33,434 | 5 | 66,869 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
n = int(input())
a = [int(x) for x in input().split()]
c = int(input())
b = [[int(x) for x in input().split()] for i in range(0, c)]
f = [[0 for j in range(0, n - i)] for i in range(0, n)]
for i in range(0, n):
f[0][i] = a[i]
for i in range(1, n):
for j in range(0, n - i):
f[i][j] = f[i - 1][j] ^ f[i - 1][j + 1]
for i in range(1, n):
for j in range(0, n - i):
f[i][j] = max(max(f[i][j],f[i - 1][j]),f[i - 1][j + 1])
for i in range(0, c):
print (f[b[i][1] - b[i][0]][b[i][0] - 1])
``` | instruction | 0 | 33,994 | 5 | 67,988 |
Yes | output | 1 | 33,994 | 5 | 67,989 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
def solution(n, As, q, query):
ap = [[0 for j in range(0, n - i)] for i in range(0, n)]
for i in range(0, n):
ap[0][i] = As[i]
for i in range(1, n):
for j in range(0, n - i):
ap[i][j] = ap[i - 1][j] ^ ap[i - 1][j + 1]
for i in range(1, n):
for j in range(0, n - i):
ap[i][j] = max(max(ap[i][j],ap[i - 1][j]),ap[i - 1][j + 1])
for i in range(0, q):
print (ap[query[i][1] - query[i][0]][query[i][0] - 1])
n = int(input())
As = [int(a) for a in input().split()]
q = int(input())
query = [[int(a) for a in input().split()] for i in range(0, q)]
solution(n, As, q, query)
``` | instruction | 0 | 33,995 | 5 | 67,990 |
Yes | output | 1 | 33,995 | 5 | 67,991 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
n=int(input()); lista=[[-1 for i in range(n+1)]for j in range(n+1)]; lista[0] = list(map(int,input().split()));q=int(input())
for i in range(1,n):
for j in range(n-i):
lista[i][j] = lista[i-1][j]^lista[i-1][j+1]
for i in range(1,n):
for j in range(n-i):
lista[i][j] = max(lista[i-1][j],lista[i-1][j+1], lista[i][j])
for i in range(q):
val= input().split()
print(lista[int(val[1])-int(val[0])][int(val[0])-1])
``` | instruction | 0 | 33,996 | 5 | 67,992 |
Yes | output | 1 | 33,996 | 5 | 67,993 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
number = int(input())
enter = list(map(int, input().split()))
xors = [[0 for x in range(number+1)] for y in range(number+1)]
for i in range(number):
xors[0][i] = enter[i]
for i in range(1, number):
for j in range(0, number - i + 1):
xors[i][j] = xors[i - 1][j + 1] ^ xors[i - 1][j]
for i in range(1, number):
for j in range(0, number - i):
xors[i][j] = max(xors[i][j], xors[i - 1][j], xors[i - 1][j + 1])
q = int(input())
for i in range(q):
l, r = list(map(int, input().split()))
l -= 1
print(xors[r - l - 1][l])
``` | instruction | 0 | 33,997 | 5 | 67,994 |
Yes | output | 1 | 33,997 | 5 | 67,995 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
pa=[0]
a=[]
dp={}
def xorp(l,r):
key=str(l)+":"+str(r)
if key in dp:
return dp[key]
if l==r:
return a[l]
mx=max(pa[r]^pa[l-1], xorp(l+1, r), xorp(l, r-1))
dp[key]=mx
return mx
n=int(input())
a=[0]+[int(x) for x in input().split()]
for i in range(1, n+1):
pa.append(pa[i-1]^a[i])
q=int(input())
while q:
l,r = input().split()
l=int(l)
r=int(r)
print(xorp(l,r))
q-=1
``` | instruction | 0 | 33,998 | 5 | 67,996 |
No | output | 1 | 33,998 | 5 | 67,997 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
import sys
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def main():
n = int(input())
A = list(map(int, input().split()))
dp = [[0]*(n+1) for i in range(n+1)]
for i in range(n):
dp[i][i+1] = A[i]
for d in range(2, n+1):
for i in range(n+1-d):
j = i + d
for k in range(i+1, j):
dp[i][j] = max(dp[i][j], max(dp[i][k], dp[k][j], dp[i][k]^dp[k][j]))
q = int(input())
for i in range(q):
l, r = map(int, input().split())
l, r = l-1, r-1
print(dp[l][r+1])
``` | instruction | 0 | 33,999 | 5 | 67,998 |
No | output | 1 | 33,999 | 5 | 67,999 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
def f(array):
newArray = []
for i in range(len(array) - 1):
currentNum = array[i]
nextNum = array[i +1]
newArray.append(currentNum ^ nextNum)
return newArray
def getMax(array, a ,b):
maxNum = array[a]
for i in range(a + 1, b + 1):
if( array[i] > maxNum):
maxNum = array[i]
return maxNum
arrayLenght = int(input())
textArray = input().split(' ')
array = []
for i in textArray:
array.append(int(i))
processed = [array]
while len(array) > 1:
print(array)
array = f(array)
processed.append(array)
print(array)
queriesNum = int(input())
for i in range(queriesNum):
query = input().split(' ')
queryA = int(query[0])
queryB = int(query[1])
querySize = queryB - queryA + 1
maxNum = getMax(processed[0], queryA - 1 , queryB - 1)
for i in range(1, querySize):
actualMax = getMax(processed[i], queryA - 1, queryB - i - 1)
if(actualMax > maxNum):
maxNum = actualMax
print(maxNum)
``` | instruction | 0 | 34,000 | 5 | 68,000 |
No | output | 1 | 34,000 | 5 | 68,001 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
For an array b of length m we define the function f as
f(b) = \begin{cases} b[1] & if m = 1 \\\ f(b[1] ⊕ b[2],b[2] ⊕ b[3],...,b[m-1] ⊕ b[m]) & otherwise, \end{cases}
where ⊕ is [bitwise exclusive OR](https://en.wikipedia.org/wiki/Bitwise_operation#XOR).
For example, f(1,2,4,8)=f(1⊕2,2⊕4,4⊕8)=f(3,6,12)=f(3⊕6,6⊕12)=f(5,10)=f(5⊕10)=f(15)=15
You are given an array a and a few queries. Each query is represented as two integers l and r. The answer is the maximum value of f on all continuous subsegments of the array a_l, a_{l+1}, …, a_r.
Input
The first line contains a single integer n (1 ≤ n ≤ 5000) — the length of a.
The second line contains n integers a_1, a_2, ..., a_n (0 ≤ a_i ≤ 2^{30}-1) — the elements of the array.
The third line contains a single integer q (1 ≤ q ≤ 100 000) — the number of queries.
Each of the next q lines contains a query represented as two integers l, r (1 ≤ l ≤ r ≤ n).
Output
Print q lines — the answers for the queries.
Examples
Input
3
8 4 1
2
2 3
1 2
Output
5
12
Input
6
1 2 4 8 16 32
4
1 6
2 5
3 4
1 2
Output
60
30
12
3
Note
In first sample in both queries the maximum value of the function is reached on the subsegment that is equal to the whole segment.
In second sample, optimal segment for first query are [3,6], for second query — [2,5], for third — [3,4], for fourth — [1,2].
Submitted Solution:
```
import sys
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
def main():
n = int(input())
A = list(map(int, input().split()))
dp = [[0]*(n+1) for i in range(n+1)]
for i in range(n):
dp[i][i+1] = A[i]
for d in range(2, n+1):
for i in range(n+1-d):
j = i + d
for k in range(i+1, j):
dp[i][j] = max(dp[i][j], max(dp[i][k], dp[k][j], dp[i][k]^dp[k][j]))
q = int(input())
for i in range(q):
l, r = map(int, input().split())
l, r = l-1, r-1
print(dp[l][r+1])
if __name__ == '__main__':
main()
``` | instruction | 0 | 34,001 | 5 | 68,002 |
No | output | 1 | 34,001 | 5 | 68,003 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,002 | 5 | 68,004 |
"Correct Solution:
```
n = int(input())
a = [int(i) for i in input().split()]
s = sum(a)
ans = 0
for i in range(n-1):
s-=a[i]
ans+=s*a[i]
print(ans%(10**9+7))
``` | output | 1 | 34,002 | 5 | 68,005 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,003 | 5 | 68,006 |
"Correct Solution:
```
m = 10**9 + 7
n = input()
a = list(map(int,input().split()))
ans = 0
s = sum(a)
for i in a:
s -= i
ans += s*i
ans = ans%m
print(ans)
``` | output | 1 | 34,003 | 5 | 68,007 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,004 | 5 | 68,008 |
"Correct Solution:
```
N=int(input())
A=list(map(int,input().split()))
s=sum(A)
res=0
for i in range(N-1):
s-=A[i]
res+=A[i]*s
print(res%(10**9+7))
``` | output | 1 | 34,004 | 5 | 68,009 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,005 | 5 | 68,010 |
"Correct Solution:
```
n = int(input())
a = list(map(int,input().split()))
s = sum(a)
ans = 0
for i in a:
s -= i
ans += i*s
print(ans%(10**9+7))
``` | output | 1 | 34,005 | 5 | 68,011 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,006 | 5 | 68,012 |
"Correct Solution:
```
n=int(input())
aa=list(map(int,input().split()))
su=sum(aa)
new=[n**2 for n in aa]
sa=sum(new)
x=10**9+7
print((su**2-sa)//2%x)
sa
``` | output | 1 | 34,006 | 5 | 68,013 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,007 | 5 | 68,014 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
d=[0]*n
for i in range(n):
d[i]=a[i]**2
print(((sum(a)**2-sum(d))//2)%(10**9+7))
``` | output | 1 | 34,007 | 5 | 68,015 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,008 | 5 | 68,016 |
"Correct Solution:
```
n=int(input())
*a,=map(int,input().split())
b=[x**2 for x in a]
mod=10**9+7
print(((sum(a)**2-sum(b))//2)%mod)
``` | output | 1 | 34,008 | 5 | 68,017 |
Provide a correct Python 3 solution for this coding contest problem.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829 | instruction | 0 | 34,009 | 5 | 68,018 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
x=sum(a)
y=sum(a[i]**2 for i in range(n))
z=(x*x-y)//2
print(z%1000000007)
``` | output | 1 | 34,009 | 5 | 68,019 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
s=sum(a)
ans=0
for i in range(n-1):
s-=a[i]
ans+=s*a[i]
print(ans%(10**9+7))
``` | instruction | 0 | 34,010 | 5 | 68,020 |
Yes | output | 1 | 34,010 | 5 | 68,021 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
sa=sum(a)
s=0
for i in range(n-1):
sa-=a[i]
s+=a[i]*sa
ans=s%(10**9+7)
print(ans)
``` | instruction | 0 | 34,011 | 5 | 68,022 |
Yes | output | 1 | 34,011 | 5 | 68,023 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
ans=0
s=sum(a)
for i in range(n-1):
ans+=a[i]*(s-a[i])
s-=a[i]
print(ans%1000000007)
``` | instruction | 0 | 34,012 | 5 | 68,024 |
Yes | output | 1 | 34,012 | 5 | 68,025 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
N=int(input())
A=[int(r) for r in input().split()]
ans=0
x=0
mod=10**9+7
for i in range(N):
ans=(ans+A[i]*x)%mod
x=(x+A[i])%mod
print(ans)
``` | instruction | 0 | 34,013 | 5 | 68,026 |
Yes | output | 1 | 34,013 | 5 | 68,027 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
n=int(input())
a=input()
a=[int(n) for n in a.split()]
c=0
for i in range(n):
c+=a[i]*sum(a[i+1:])
c=c%(10**9+7)
print(c)
``` | instruction | 0 | 34,014 | 5 | 68,028 |
No | output | 1 | 34,014 | 5 | 68,029 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
N=int(input())
A=list(map(int,input().split(' ')))
Asum=0
for i in range(N):
for j in range(i):
Asum+=A[i]*A[j]
Asum%=10**9+7
print(Asum)
``` | instruction | 0 | 34,015 | 5 | 68,030 |
No | output | 1 | 34,015 | 5 | 68,031 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
n = int(input(''))
adl = input('')
a = list(map(int,adl.split(' ')))
number = 0
mod = 7+1000000000
amari = 0
for i in range(n):
for e in range(n-i-1):
j = i+e+1
if i != j:
number = number + (a[i] * a[j])
amari = number % mod
print(amari)
``` | instruction | 0 | 34,016 | 5 | 68,032 |
No | output | 1 | 34,016 | 5 | 68,033 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are N integers A_1,\ldots,A_N.
Find the sum of A_i \times A_j over all pairs (i,j) such that 1\leq i < j \leq N, modulo (10^9+7).
Constraints
* 2 \leq N \leq 2\times 10^5
* 0 \leq A_i \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 \ldots A_N
Output
Print \sum_{i=1}^{N-1}\sum_{j=i+1}^{N} A_i A_j, modulo (10^9+7).
Examples
Input
3
1 2 3
Output
11
Input
4
141421356 17320508 22360679 244949
Output
437235829
Submitted Solution:
```
#!/usr/bin/env python3
import sys
sys.setrecursionlimit(10**7)
import bisect
import heapq
import itertools
import math
from collections import Counter, defaultdict, deque
from copy import deepcopy
from decimal import Decimal
from math import gcd
from operator import add, itemgetter, mul, xor
def cmb(n,r,mod):
bunshi=1
bunbo=1
for i in range(r):
bunbo = bunbo*(i+1)%mod
bunshi = bunshi*(n-i)%mod
return (bunshi*pow(bunbo,mod-2,mod))%mod
mod = 10**9+7
def I(): return int(input())
def LI(): return list(map(int,input().split()))
def MI(): return map(int,input().split())
def LLI(n): return [list(map(int, input().split())) for _ in range(n)]
#bisect.bisect_left(list,key)はlistのなかでkey未満の数字がいくつあるかを返す
#つまりlist[i] < x となる i の個数
#bisect.bisect_right(list, key)はlistのなかでkey以下の数字がいくつあるかを返す
#つまりlist[i] <= x となる i の個数
#これを応用することで
#len(list) - bisect.bisect_left(list,key)はlistのなかでkey以上の数字がいくつあるかを返す
#len(list) - bisect.bisect_right(list,key)はlistのなかでkeyより大きい数字がいくつあるかを返す
#これらを使うときはあらかじめlistをソートしておくこと！
n = I()
a = LI()
s = sum(a)
ans = 0
for j in range(len(a)):
ans += (a[j]%mod)*((s - a[j])%mod)
ans = ans%mod
print(ans//2)
``` | instruction | 0 | 34,017 | 5 | 68,034 |
No | output | 1 | 34,017 | 5 | 68,035 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,112 | 5 | 68,224 |
"Correct Solution:
```
N=int(input())
e=0
A=list(map(int,input().split()))
for i in range(N):
if A[i]%2==0:
e+=1
ans=3**N - 2**e
print(ans)
``` | output | 1 | 34,112 | 5 | 68,225 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,113 | 5 | 68,226 |
"Correct Solution:
```
N=int(input())
A=list(map(int,input().split()))
bad=1
for a in A:
if a%2==0:
bad*=2
print(3**N-bad)
``` | output | 1 | 34,113 | 5 | 68,227 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,114 | 5 | 68,228 |
"Correct Solution:
```
print(3**int(input())-2**(sum(~l&1 for l in map(int,input().split()))))
``` | output | 1 | 34,114 | 5 | 68,229 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,115 | 5 | 68,230 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
even=0
for i in range(n):
if a[i]%2 == 0:
even += 1
print(3**n - 2**even)
``` | output | 1 | 34,115 | 5 | 68,231 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,116 | 5 | 68,232 |
"Correct Solution:
```
n = int(input())
a = [int(i) for i in input().split()]
num = 0
for i in a:
if i%2==0: num+=1
print(3**n-2**num)
``` | output | 1 | 34,116 | 5 | 68,233 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,117 | 5 | 68,234 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
c = 1
for x in A:
c *= 1 if x%2 else 2
print(3**N-c)
``` | output | 1 | 34,117 | 5 | 68,235 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,118 | 5 | 68,236 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
hiku = 1
for i in a:
if i % 2 == 0:
hiku *= 2
print(3 ** n - hiku)
``` | output | 1 | 34,118 | 5 | 68,237 |
Provide a correct Python 3 solution for this coding contest problem.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921 | instruction | 0 | 34,119 | 5 | 68,238 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
ans = 1
for i in range(N):
if A[i] % 2 == 0:
ans *= 2
print(3**N-ans)
``` | output | 1 | 34,119 | 5 | 68,239 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921
Submitted Solution:
```
N = int(input())
c = 1
for i in map(int, input().split()):
if i % 2 == 0:
c *= 2
print(3 ** N - c)
``` | instruction | 0 | 34,120 | 5 | 68,240 |
Yes | output | 1 | 34,120 | 5 | 68,241 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921
Submitted Solution:
```
n = int(input())
a = sum(list(map(lambda x:1-int(x)%2,input().split())))
print(3**n-2**a)
``` | instruction | 0 | 34,121 | 5 | 68,242 |
Yes | output | 1 | 34,121 | 5 | 68,243 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
b=[True if i%2==0 else False for i in a].count(True)
print(3**n-2**b)
``` | instruction | 0 | 34,122 | 5 | 68,244 |
Yes | output | 1 | 34,122 | 5 | 68,245 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
ans = 3**n
res = 1
for x in a:
if x%2:res*=1
else:res*=2
print(ans-res)
``` | instruction | 0 | 34,123 | 5 | 68,246 |
Yes | output | 1 | 34,123 | 5 | 68,247 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will say that two integer sequences of length N, x_1, x_2, ..., x_N and y_1, y_2, ..., y_N, are similar when |x_i - y_i| \leq 1 holds for all i (1 \leq i \leq N).
In particular, any integer sequence is similar to itself.
You are given an integer N and an integer sequence of length N, A_1, A_2, ..., A_N.
How many integer sequences b_1, b_2, ..., b_N are there such that b_1, b_2, ..., b_N is similar to A and the product of all elements, b_1 b_2 ... b_N, is even?
Constraints
* 1 \leq N \leq 10
* 1 \leq A_i \leq 100
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the number of integer sequences that satisfy the condition.
Examples
Input
2
2 3
Output
7
Input
3
3 3 3
Output
26
Input
1
100
Output
1
Input
10
90 52 56 71 44 8 13 30 57 84
Output
58921
Submitted Solution:
```
#!/usr/bin/env python3
import sys
def solve(n, ls_a):
numOne = ls_a.count(1)
numEven = len([a for a in ls_a if a % 2 == 0])
all = (2 ** numOne) * (3 ** (n - numOne))
odd = 2 ** numEven
print(all - odd)
def readQuestion():
ws = sys.stdin.readline().strip().split()
n = int(ws[0])
ws = sys.stdin.readline().strip().split()
ls_a = list(map(int, ws))
return (n, ls_a,)
def main():
solve(*readQuestion())
# Uncomment before submission
main()
``` | instruction | 0 | 34,124 | 5 | 68,248 |
No | output | 1 | 34,124 | 5 | 68,249 |
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