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 an integer N that has exactly four digits in base ten. How many times does `2` occur in the base-ten representation of N?
Constraints
* 1000 \leq N \leq 9999
Input
Input is given from Standard Input in the following format:
N
Output
Print the answer.
Examples
Input
1222
Output
3
Input
3456
Output
0
Input
9592
Output
1
Submitted Solution:
```
S = list(input())
print(S.count("2"))
``` | instruction | 0 | 27,213 | 5 | 54,426 |
Yes | output | 1 | 27,213 | 5 | 54,427 |
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 N that has exactly four digits in base ten. How many times does `2` occur in the base-ten representation of N?
Constraints
* 1000 \leq N \leq 9999
Input
Input is given from Standard Input in the following format:
N
Output
Print the answer.
Examples
Input
1222
Output
3
Input
3456
Output
0
Input
9592
Output
1
Submitted Solution:
```
print(str(input()).count("1"))
``` | instruction | 0 | 27,214 | 5 | 54,428 |
No | output | 1 | 27,214 | 5 | 54,429 |
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 N that has exactly four digits in base ten. How many times does `2` occur in the base-ten representation of N?
Constraints
* 1000 \leq N \leq 9999
Input
Input is given from Standard Input in the following format:
N
Output
Print the answer.
Examples
Input
1222
Output
3
Input
3456
Output
0
Input
9592
Output
1
Submitted Solution:
```
print(input().count(2))
``` | instruction | 0 | 27,215 | 5 | 54,430 |
No | output | 1 | 27,215 | 5 | 54,431 |
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 N that has exactly four digits in base ten. How many times does `2` occur in the base-ten representation of N?
Constraints
* 1000 \leq N \leq 9999
Input
Input is given from Standard Input in the following format:
N
Output
Print the answer.
Examples
Input
1222
Output
3
Input
3456
Output
0
Input
9592
Output
1
Submitted Solution:
```
n,p= map(int,input().split())
res=1
if n==1:
res=p
else:
for i in range(2,int(p**(1/n))+1):
x=i**n
if x>p:
break
if p%x==0:
res=i
print(res)
``` | instruction | 0 | 27,216 | 5 | 54,432 |
No | output | 1 | 27,216 | 5 | 54,433 |
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 N that has exactly four digits in base ten. How many times does `2` occur in the base-ten representation of N?
Constraints
* 1000 \leq N \leq 9999
Input
Input is given from Standard Input in the following format:
N
Output
Print the answer.
Examples
Input
1222
Output
3
Input
3456
Output
0
Input
9592
Output
1
Submitted Solution:
```
N = int(input())
print(N.count("2"))
``` | instruction | 0 | 27,217 | 5 | 54,434 |
No | output | 1 | 27,217 | 5 | 54,435 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,369 | 5 | 54,738 |
"Correct Solution:
```
import copy
n = int(input())
A = list(map(int, input().split()))
q = int(input())
for i in range(q):
B = copy.copy(A)
queryi = list(map(int, input().split()))
b = queryi[0]
m = queryi[1]
e = queryi[2]
for k in range(e-b):
pos = b+((k+e-m) % (e-b))
B[pos] = A[b+k]
A = copy.copy(B)
B = list(map(str, B))
print(" ".join(B))
``` | output | 1 | 27,369 | 5 | 54,739 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,370 | 5 | 54,740 |
"Correct Solution:
```
input()
nums = list(map(int, input().split(' ')))
n = int(input())
for _ in range(n):
f, m, l = list(map(int, input().split(' ')))
sb = list(nums[f:l])
r = (l-m)
sb = sb[len(sb)-r:] + sb[:len(sb)-r]
nums = nums[:f] + sb + nums[l:]
print(' '.join(map(str, nums)))
``` | output | 1 | 27,370 | 5 | 54,741 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,371 | 5 | 54,742 |
"Correct Solution:
```
import copy
n = int(input())
num = list(map(int, input().split()))
tmp = copy.deepcopy(num)
q = int(input())
for _ in range(q):
b, m, e = map(int, input().split())
for i in range(e - b):
pos = b + (i + e - m) % (e - b)
tmp[pos] = num[i + b]
num = copy.deepcopy(tmp)
print(' '.join(str(n) for n in num))
``` | output | 1 | 27,371 | 5 | 54,743 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,372 | 5 | 54,744 |
"Correct Solution:
```
from collections import deque
n = int(input())
a = list(map(int, input().split()))
q = int(input())
cnt = 0
while q:
q -= 1
l, m, r = map(int, input().split())
tmp = deque(a[l:r])
tmp.rotate(r - m)
a[l:r] = tmp
print(*a)
``` | output | 1 | 27,372 | 5 | 54,745 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,373 | 5 | 54,746 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
q = int(input())
for i in range(q):
b, m, e = list(map(int, input().split()))
a = a[:b]+a[m:e]+a[b:m]+a[e:]
print(" ".join(map(str, a)))
``` | output | 1 | 27,373 | 5 | 54,747 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,374 | 5 | 54,748 |
"Correct Solution:
```
from collections import deque
n = int(input())
a = list(map(int, input().split()))
q = int(input())
for i in range(q):
b, m, e = map(int, input().split())
s = a[b:e]
a = a[:b] + s[m - b:] + s[:m - b] + a[e:]
print(*a)
``` | output | 1 | 27,374 | 5 | 54,749 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,375 | 5 | 54,750 |
"Correct Solution:
```
if __name__ == "__main__":
num_a = int(input())
a = list(map(lambda x: int(x), input().split()))
num_query = int(input())
for _ in range(num_query):
begin, margin, end = map(lambda x: int(x), input().split())
diff = end - margin
modulo = end - begin
a_sliced = a[begin: end]
a_sliced = [a_sliced[(idx + len(a_sliced) - diff) % modulo] for idx in range(len(a_sliced))]
a[begin: end] = a_sliced
print(" ".join([str(elem) for elem in a]))
``` | output | 1 | 27,375 | 5 | 54,751 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of integers $A = \\{a_0, a_1, ..., a_{n-1}\\}$ and rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11 | instruction | 0 | 27,376 | 5 | 54,752 |
"Correct Solution:
```
n=input()
l=list(map(int,input().split()))
n=int(input())
for i in range(n):
b,m,e=map(int,input().split())
l1=l[b:e]
l1=l1[m-e:]+l1[:m-e]
l[b:e]=l1
l=map(str,l)
print(' '.join(map(str,l)))
``` | output | 1 | 27,376 | 5 | 54,753 |
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 rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11
Submitted Solution:
```
# http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ITP2_4_B&lang=jp
# Rotate
from collections import deque
import sys
input = sys.stdin.readline
def main():
n1 = int(input())
l1 = list(map(int,input().split()))
l2 = []
for i in range(int(input())):
(b,m,e) = map(int,input().split())
for k in range(b):
l2.append(l1[k])
for k in range(m,e):
l2.append (l1[k])
for k in range(b,m):
l2.append(l1[k])
for k in range(e,len(l1)):
l2.append(l1[k])
l1 = l2
l2 = []
print (" ".join(map(str,l1)))
if __name__ == '__main__':
main()
``` | instruction | 0 | 27,377 | 5 | 54,754 |
Yes | output | 1 | 27,377 | 5 | 54,755 |
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 rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11
Submitted Solution:
```
def rotate(A,b,m,e):
B=A[b:e]
for k in range(e-b):
A[b+((k+e-m)%(e-b))]=B[k]
return A
n=int(input())
A=list(map(int,input().split()))
q=int(input())
for i in range(q):
query=list(map(int,input().split()))
A=rotate(A,query[0],query[1],query[2])
print(' '.join(map(str,A)))
``` | instruction | 0 | 27,378 | 5 | 54,756 |
Yes | output | 1 | 27,378 | 5 | 54,757 |
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 rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11
Submitted Solution:
```
def main():
n = int(input())
org = [int(a) for a in input().split(" ")]
q = int(input())
for _ in range(q):
b, m, e = map(int, input().split(" "))
dummy = org[:]
for k in range(e - b):
first = b + k
second = b + ((k + (e - m))%(e - b))
dummy[second] = org[first]
org = dummy[:]
print(*dummy)
main()
``` | instruction | 0 | 27,379 | 5 | 54,758 |
Yes | output | 1 | 27,379 | 5 | 54,759 |
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 rotate specified elements by a list of the following operation:
* rotate($b, m, e$): For each integer $k$ ($0 \leq k < (e - b)$), move element $b + k$ to the place of element $b + ((k + (e - m)) \mod (e - b))$.
Constraints
* $1 \leq n \leq 1,000$
* $-1,000,000,000 \leq a_i \leq 1,000,000,000$
* $1 \leq q \leq 1,000$
* $0 \leq b_i \leq m_i < e_i \leq n$
Input
The input is given in the following format.
$n$
$a_0 \; a_1 \; ...,\; a_{n-1}$
$q$
$b_1 \; m_1 \; e_1$
$b_2 \; m_2 \; e_2$
:
$b_{q} \; m_{q} \; e_{q}$
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 three integers $b_i \; m_i \; e_i$ 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
11
1 2 3 4 5 6 7 8 9 10 11
1
2 6 9
Output
1 2 7 8 9 3 4 5 6 10 11
Submitted Solution:
```
_ = input()
A = [int(a) for a in input().split()]
for _ in range(int(input())):
b, m, e = map(int, input().split())
t = [0]*(e-b)
for i in range(e-b):
j = (i + (e-m)) % (e - b)
t[j] = A[b+i]
A = A[:b] + t + A[e:]
print(*A, sep=' ')
``` | instruction | 0 | 27,380 | 5 | 54,760 |
Yes | output | 1 | 27,380 | 5 | 54,761 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Unfortunately, Vasya can only sum pairs of integers (a, b), such that for any decimal place at least one number has digit 0 in this place. For example, Vasya can sum numbers 505 and 50, but he cannot sum 1 and 4.
Vasya has a set of k distinct non-negative integers d1, d2, ..., dk.
Vasya wants to choose some integers from this set so that he could sum any two chosen numbers. What maximal number of integers can he choose in the required manner?
Input
The first input line contains integer k (1 ≤ k ≤ 100) — the number of integers.
The second line contains k distinct space-separated integers d1, d2, ..., dk (0 ≤ di ≤ 100).
Output
In the first line print a single integer n the maximum number of the chosen integers. In the second line print n distinct non-negative integers — the required integers.
If there are multiple solutions, print any of them. You can print the numbers in any order.
Examples
Input
4
100 10 1 0
Output
4
0 1 10 100
Input
3
2 70 3
Output
2
2 70
Submitted Solution:
```
###################################################################
# ."-,.__
# `. `. ,
# .--' .._,'"-' `.
# . .' `'
# `. / ,'
# ` '--. ,-"'
# `"` | \
# -. \, |
# `--Y.' ___.
# \ L._, \
# _., `. < <\ _
# ,' ' `, `. | \ ( `
# ../, `. ` | .\`. \ \_
# ,' ,.. . _.,' ||\l ) '".
# , ,' \ ,'.-.`-._,' | . _._`.
# ,' / \ \ `' ' `--/ | \ / / ..\
# .' / \ . |\__ - _ ,'` ` / / `.`.
# | ' .. `-...-" | `-' / / . `.
# | / |L__ | | / / `. `.
# , / . . | | / / ` `
# / / ,. ,`._ `-_ | | _ ,-' / ` \
# / . \"`_/. `-_ \_,. ,' +-' `-' _, ..,-. \`.
# . ' .-f ,' ` '. \__.---' _ .' ' \ \
# ' / `.' l .' / \.. ,_|/ `. ,'` L`
# |' _.-""` `. \ _,' ` \ `.___`.'"`-. , | | | \
# || ,' `. `. ' _,...._ ` | `/ ' | ' .|
# || ,' `. ;.,.---' ,' `. `.. `-' .-' /_ .' ;_ ||
# || ' V / / ` | ` ,' ,' '. ! `. ||
# ||/ _,-------7 ' . | `-' l / `||
# . | ,' .- ,' || | .-. `. .' ||
# `' ,' `".' | | `. '. -.' `'
# / ,' | |,' \-.._,.'/'
# . / . . \ .''
# .`. | `. / :_,'.'
# \ `...\ _ ,'-. .' /_.-'
# `-.__ `, `' . _.>----''. _ __ /
# .' /"' | "' '_
# /_|.-'\ ,". '.'`__'-( \
# / ,"'"\,' `/ `-.|"
###################################################################
from sys import stdin, stdout
from math import floor, gcd, fabs, factorial, fmod, sqrt, inf, log, trunc
from collections import defaultdict as dd, deque
from heapq import merge, heapify, heappop, heappush, nsmallest
from bisect import bisect_left as bl, bisect_right as br, bisect
mod = pow(10, 9) + 7
mod2 = 998244353
def inp(): return stdin.readline().strip()
def iinp(): return int(inp())
def out(var, end="\n"): stdout.write(str(var)+"\n")
def outa(*var, end="\n"): stdout.write(' '.join(map(str, var)) + end)
def lmp(): return list(mp())
def mp(): return map(int, inp().split())
def smp(): return map(str, inp().split())
def l1d(n, val=0): return [val for i in range(n)]
def l2d(n, m, val=0): return [l1d(m, val) for j in range(n)]
def remadd(x, y): return 1 if x%y else 0
def ceil(a,b): return (a+b-1)//b
def isprime(x):
if x<=1: return False
if x in (2, 3): return True
if x%2 == 0: return False
for i in range(3, int(sqrt(x))+1, 2):
if x%i == 0: return False
return True
n = iinp()
arr = inp().split()
f1, f2, f3 = False, False, False
ansl = []
for i in arr:
if i in ['0', '100']: ansl.append(i)
elif not f1 and i[-1]=='0':
ansl.append(i)
if len(i)>1: f1=True
elif not f2 and len(i)==1:
ansl.append(i)
f2 = True
else:
f3=True
x = i
if f3 and not f1 and not f2:
ansl.append(x)
print(len(ansl))
print(*ansl)
``` | instruction | 0 | 27,769 | 5 | 55,538 |
Yes | output | 1 | 27,769 | 5 | 55,539 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Unfortunately, Vasya can only sum pairs of integers (a, b), such that for any decimal place at least one number has digit 0 in this place. For example, Vasya can sum numbers 505 and 50, but he cannot sum 1 and 4.
Vasya has a set of k distinct non-negative integers d1, d2, ..., dk.
Vasya wants to choose some integers from this set so that he could sum any two chosen numbers. What maximal number of integers can he choose in the required manner?
Input
The first input line contains integer k (1 ≤ k ≤ 100) — the number of integers.
The second line contains k distinct space-separated integers d1, d2, ..., dk (0 ≤ di ≤ 100).
Output
In the first line print a single integer n the maximum number of the chosen integers. In the second line print n distinct non-negative integers — the required integers.
If there are multiple solutions, print any of them. You can print the numbers in any order.
Examples
Input
4
100 10 1 0
Output
4
0 1 10 100
Input
3
2 70 3
Output
2
2 70
Submitted Solution:
```
from collections import defaultdict
n = int(input())
arr = [int(x) for x in input().split()]
ans = []
d = defaultdict(bool)
for i in arr:
if(i == 0):
ans.append(i)
elif(i % 100 == 0 and not d[100]):
d[100] = True
ans.append(i)
elif(i % 10 == 0 and not d[10]):
d[10] = True
ans.append(i)
if(d[10]):
for i in arr:
if('0' not in str(i) and len(str(i)) == 1):
ans.append(i)
break
else:
for i in arr:
if('0' not in str(i)):
ans.append(i)
break
print(len(ans))
print(*ans)
``` | instruction | 0 | 27,770 | 5 | 55,540 |
Yes | output | 1 | 27,770 | 5 | 55,541 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Unfortunately, Vasya can only sum pairs of integers (a, b), such that for any decimal place at least one number has digit 0 in this place. For example, Vasya can sum numbers 505 and 50, but he cannot sum 1 and 4.
Vasya has a set of k distinct non-negative integers d1, d2, ..., dk.
Vasya wants to choose some integers from this set so that he could sum any two chosen numbers. What maximal number of integers can he choose in the required manner?
Input
The first input line contains integer k (1 ≤ k ≤ 100) — the number of integers.
The second line contains k distinct space-separated integers d1, d2, ..., dk (0 ≤ di ≤ 100).
Output
In the first line print a single integer n the maximum number of the chosen integers. In the second line print n distinct non-negative integers — the required integers.
If there are multiple solutions, print any of them. You can print the numbers in any order.
Examples
Input
4
100 10 1 0
Output
4
0 1 10 100
Input
3
2 70 3
Output
2
2 70
Submitted Solution:
```
n = int(input())
v = list(map(int, input().split()))
cnt = [0]*101
ans = list()
v.sort()
f10 = 0
f100 = 0
for x in v:
if x == 0 or x == 100:
ans.append(x)
elif x < 10:
if f10 == 0:
ans.append(x)
f10 = 1
elif x % 10 == 0:
if f100 == 0:
ans.append(x)
f100 = 1
if f10 + f100 == 0:
for i in range(1, 100):
if i in v:
ans.append(i)
break
print(len(ans))
for i in ans:
print (i, end=' ')
``` | instruction | 0 | 27,771 | 5 | 55,542 |
Yes | output | 1 | 27,771 | 5 | 55,543 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Unfortunately, Vasya can only sum pairs of integers (a, b), such that for any decimal place at least one number has digit 0 in this place. For example, Vasya can sum numbers 505 and 50, but he cannot sum 1 and 4.
Vasya has a set of k distinct non-negative integers d1, d2, ..., dk.
Vasya wants to choose some integers from this set so that he could sum any two chosen numbers. What maximal number of integers can he choose in the required manner?
Input
The first input line contains integer k (1 ≤ k ≤ 100) — the number of integers.
The second line contains k distinct space-separated integers d1, d2, ..., dk (0 ≤ di ≤ 100).
Output
In the first line print a single integer n the maximum number of the chosen integers. In the second line print n distinct non-negative integers — the required integers.
If there are multiple solutions, print any of them. You can print the numbers in any order.
Examples
Input
4
100 10 1 0
Output
4
0 1 10 100
Input
3
2 70 3
Output
2
2 70
Submitted Solution:
```
#import math
#n, m = input().split()
#n = int (n)
#m = int (m)
#n, m, k , l= input().split()
#n = int (n)
#m = int (m)
#k = int (k)
#l = int(l)
n = int(input())
#m = int(input())
#s = input()
##t = input()
#a = list(map(char, input().split()))
#a.append('.')
#print(l)
a = list(map(int, input().split()))
#c = sorted(c)
#x1, y1, x2, y2 =map(int,input().split())
#n = int(input())
#f = []
#t = [0]*n
#f = [(int(s1[0]),s1[1]), (int(s2[0]),s2[1]), (int(s3[0]), s3[1])]
#f1 = sorted(t, key = lambda tup: tup[0])
c = 0
s = set()
f = -1
b = True
for i in range(n):
if (a[i] == 100 or a[i] == 0):
s.add(a[i])
c += 1
elif (a[i] >= 10 and b):
s.add(a[i])
c += 1
b = False
elif (a[i] < 10 and f == -1):
f = i
s.add(a[i])
c += 1
if (c == 0):
c = 1
s.add(a[i])
print(c)
for b in s:
print (b, end = " ")
``` | instruction | 0 | 27,774 | 5 | 55,548 |
No | output | 1 | 27,774 | 5 | 55,549 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Unfortunately, Vasya can only sum pairs of integers (a, b), such that for any decimal place at least one number has digit 0 in this place. For example, Vasya can sum numbers 505 and 50, but he cannot sum 1 and 4.
Vasya has a set of k distinct non-negative integers d1, d2, ..., dk.
Vasya wants to choose some integers from this set so that he could sum any two chosen numbers. What maximal number of integers can he choose in the required manner?
Input
The first input line contains integer k (1 ≤ k ≤ 100) — the number of integers.
The second line contains k distinct space-separated integers d1, d2, ..., dk (0 ≤ di ≤ 100).
Output
In the first line print a single integer n the maximum number of the chosen integers. In the second line print n distinct non-negative integers — the required integers.
If there are multiple solutions, print any of them. You can print the numbers in any order.
Examples
Input
4
100 10 1 0
Output
4
0 1 10 100
Input
3
2 70 3
Output
2
2 70
Submitted Solution:
```
#import math
#n, m = input().split()
#n = int (n)
#m = int (m)
#n, m, k , l= input().split()
#n = int (n)
#m = int (m)
#k = int (k)
#l = int(l)
n = int(input())
#m = int(input())
#s = input()
##t = input()
#a = list(map(char, input().split()))
#a.append('.')
#print(l)
a = list(map(int, input().split()))
#c = sorted(c)
#x1, y1, x2, y2 =map(int,input().split())
#n = int(input())
#f = []
#t = [0]*n
#f = [(int(s1[0]),s1[1]), (int(s2[0]),s2[1]), (int(s3[0]), s3[1])]
#f1 = sorted(t, key = lambda tup: tup[0])
c = 0
s = set()
f = -1
b = True
for i in range(n):
if (a[i] == 100 or a[i] == 0):
s.add(a[i])
c += 1
elif (a[i] >= 10 == 0 and b):
s.add(a[i])
c += 1
b = False
elif (a[i] < 10 and f == -1):
f = i
s.add(a[i])
c += 1
if (c == 0):
c = 1
s.add(a[i])
print(c)
for b in s:
print (b, end = " ")
``` | instruction | 0 | 27,775 | 5 | 55,550 |
No | output | 1 | 27,775 | 5 | 55,551 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n positive integers a1, a2, ..., an.
For every ai you need to find a positive integer ki such that the decimal notation of 2ki contains the decimal notation of ai as a substring among its last min(100, length(2ki)) digits. Here length(m) is the length of the decimal notation of m.
Note that you don't have to minimize ki. The decimal notations in this problem do not contain leading zeros.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 000) — the number of integers ai.
Each of the next n lines contains a positive integer ai (1 ≤ ai < 1011).
Output
Print n lines. The i-th of them should contain a positive integer ki such that the last min(100, length(2ki)) digits of 2ki contain the decimal notation of ai as a substring. Integers ki must satisfy 1 ≤ ki ≤ 1050.
It can be shown that the answer always exists under the given constraints. If there are multiple answers, print any of them.
Examples
Input
2
8
2
Output
3
1
Input
2
3
4857
Output
5
20
Submitted Solution:
```
def F(x):
if x == 0: return 0
return F(x // 10) + 1
def mul(x, num):
return pow(2, x, 10 ** num)
ml = 1000000
def solveS(x):
ln = F(x * ml)
f = 1 << ln
s = (x * ml + f - 1) // f * f
while s % 5 == 0: s += f
return s
def solveNK(s, n, r, q):
for i in range(0, 6):
# print(r + i * q, q, mul(r + i * q, n), s)
if mul(r + i * q, n) == s:
return r + i * q
def solveK(s):
# print(s)
n = F(s)
last = s % 10
for i in range(1, 5):
if mul(i, 1) == last:
r = i
q = 4
for j in range(2, n + 1):
r = solveNK(s % (10 ** j), j, r, q)
# print(r)
q = q * 5
return r
def solve(x):
return solveK(solveS(x))
N = int(input())
ans = ''
for i in range(0, N):
x = int(input())
gg = solve(x)
# print(mul(gg, 100))
ans += '%d\n' % solve(x)
print(ans)
``` | instruction | 0 | 27,991 | 5 | 55,982 |
Yes | output | 1 | 27,991 | 5 | 55,983 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n positive integers a1, a2, ..., an.
For every ai you need to find a positive integer ki such that the decimal notation of 2ki contains the decimal notation of ai as a substring among its last min(100, length(2ki)) digits. Here length(m) is the length of the decimal notation of m.
Note that you don't have to minimize ki. The decimal notations in this problem do not contain leading zeros.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 000) — the number of integers ai.
Each of the next n lines contains a positive integer ai (1 ≤ ai < 1011).
Output
Print n lines. The i-th of them should contain a positive integer ki such that the last min(100, length(2ki)) digits of 2ki contain the decimal notation of ai as a substring. Integers ki must satisfy 1 ≤ ki ≤ 1050.
It can be shown that the answer always exists under the given constraints. If there are multiple answers, print any of them.
Examples
Input
2
8
2
Output
3
1
Input
2
3
4857
Output
5
20
Submitted Solution:
```
def dlog(x, n):
bigMod = 5 ** n
ans = [None, 0, 1, 3, 2][x % 5]
val = 2 ** ans % bigMod
mod, phi = 5, 4
phiVal = 2 ** phi % bigMod
for i in range(2, n + 1):
nextMod = mod * 5
while val % nextMod != x % nextMod:
val = val * phiVal % bigMod
ans += phi
phi *= 5
phiVal = (phiVal *
phiVal % bigMod *
phiVal % bigMod *
phiVal % bigMod *
phiVal % bigMod)
mod = nextMod
return ans
def main():
inp = input()
n = len(inp)
a = int(inp)
for m in range(n + 1):
l = a * 10 ** m
x, mod = l, 2 ** (n + m)
if x % mod != 0:
x += mod - x % mod
if x % 5 == 0:
x += mod
if x < l + 10 ** m:
assert x % mod == 0 and x % 5 != 0
x = x // mod
mod = 5 ** (n + m)
print(n + m + dlog(x % mod, n + m))
return
assert False
if __name__ == '__main__':
cnt = int(input())
for i in range(cnt):
main()
``` | instruction | 0 | 27,992 | 5 | 55,984 |
Yes | output | 1 | 27,992 | 5 | 55,985 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n positive integers a1, a2, ..., an.
For every ai you need to find a positive integer ki such that the decimal notation of 2ki contains the decimal notation of ai as a substring among its last min(100, length(2ki)) digits. Here length(m) is the length of the decimal notation of m.
Note that you don't have to minimize ki. The decimal notations in this problem do not contain leading zeros.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 000) — the number of integers ai.
Each of the next n lines contains a positive integer ai (1 ≤ ai < 1011).
Output
Print n lines. The i-th of them should contain a positive integer ki such that the last min(100, length(2ki)) digits of 2ki contain the decimal notation of ai as a substring. Integers ki must satisfy 1 ≤ ki ≤ 1050.
It can be shown that the answer always exists under the given constraints. If there are multiple answers, print any of them.
Examples
Input
2
8
2
Output
3
1
Input
2
3
4857
Output
5
20
Submitted Solution:
```
import sys
import math
from decimal import *
line = lambda: list(int(x) for x in input().split())
def pow(n, k, p):
if k == 0:
return 1 % p
if k % 2 == 1:
return pow(n, k - 1, p) * n % p
t = pow(n, k / 2, p)
return t * t % p;
test = int(input())
for i in range(0, test):
x = int(input())
x = x * 10 ** 6
x += (2 ** 17 - x % 2 ** 17) % 2 ** 17
if x % 5 == 0:
x += 2 ** 17;
res = 0
for i in range(1, 17 + 1):
while pow(2, res, 5 ** i) != x % 5 ** i:
if i == 1:
res += 1
else:
res += 4 * 5 ** (i - 2)
res += 4 * 5 ** 16
print(res)
``` | instruction | 0 | 27,993 | 5 | 55,986 |
Yes | output | 1 | 27,993 | 5 | 55,987 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n positive integers a1, a2, ..., an.
For every ai you need to find a positive integer ki such that the decimal notation of 2ki contains the decimal notation of ai as a substring among its last min(100, length(2ki)) digits. Here length(m) is the length of the decimal notation of m.
Note that you don't have to minimize ki. The decimal notations in this problem do not contain leading zeros.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 000) — the number of integers ai.
Each of the next n lines contains a positive integer ai (1 ≤ ai < 1011).
Output
Print n lines. The i-th of them should contain a positive integer ki such that the last min(100, length(2ki)) digits of 2ki contain the decimal notation of ai as a substring. Integers ki must satisfy 1 ≤ ki ≤ 1050.
It can be shown that the answer always exists under the given constraints. If there are multiple answers, print any of them.
Examples
Input
2
8
2
Output
3
1
Input
2
3
4857
Output
5
20
Submitted Solution:
```
def dlog(x, n):
bigMod = 5 ** n
ans = [None, 0, 1, 3, 2][x % 5]
val = 2 ** ans % bigMod
mod, phi = 5, 4
phiVal = 2 ** phi % bigMod
for i in range(2, n + 1):
nextMod = mod * 5
while val % nextMod != x % nextMod:
val = val * phiVal % bigMod
ans += phi
phi *= 5
phiVal = (phiVal *
phiVal % bigMod *
phiVal % bigMod *
phiVal % bigMod *
phiVal % bigMod)
mod = nextMod
return ans
def main():
inp = input()
n = len(inp)
a = int(inp)
for m in range(n + 1):
l = a * 10 ** m
x, mod = l, 2 ** (n + m)
if x % mod != 0:
x += mod - x % mod
if x % 5 == 0:
x += mod
if x < l + 10 ** m:
x = x // mod
mod = 5 ** (n + m)
print(n + m + dlog(x % mod, n + m))
return
if __name__ == "__main__":
cnt = int(input())
for i in range(cnt):
main()
``` | instruction | 0 | 27,994 | 5 | 55,988 |
Yes | output | 1 | 27,994 | 5 | 55,989 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n positive integers a1, a2, ..., an.
For every ai you need to find a positive integer ki such that the decimal notation of 2ki contains the decimal notation of ai as a substring among its last min(100, length(2ki)) digits. Here length(m) is the length of the decimal notation of m.
Note that you don't have to minimize ki. The decimal notations in this problem do not contain leading zeros.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 000) — the number of integers ai.
Each of the next n lines contains a positive integer ai (1 ≤ ai < 1011).
Output
Print n lines. The i-th of them should contain a positive integer ki such that the last min(100, length(2ki)) digits of 2ki contain the decimal notation of ai as a substring. Integers ki must satisfy 1 ≤ ki ≤ 1050.
It can be shown that the answer always exists under the given constraints. If there are multiple answers, print any of them.
Examples
Input
2
8
2
Output
3
1
Input
2
3
4857
Output
5
20
Submitted Solution:
```
a = int(input())
res = []
for i in range(a):
b = input()
res.append(b)
for c in res:
for i in range(100000000000):
if c in str(2 ** i):
print(i)
break
``` | instruction | 0 | 27,995 | 5 | 55,990 |
No | output | 1 | 27,995 | 5 | 55,991 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n positive integers a1, a2, ..., an.
For every ai you need to find a positive integer ki such that the decimal notation of 2ki contains the decimal notation of ai as a substring among its last min(100, length(2ki)) digits. Here length(m) is the length of the decimal notation of m.
Note that you don't have to minimize ki. The decimal notations in this problem do not contain leading zeros.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 000) — the number of integers ai.
Each of the next n lines contains a positive integer ai (1 ≤ ai < 1011).
Output
Print n lines. The i-th of them should contain a positive integer ki such that the last min(100, length(2ki)) digits of 2ki contain the decimal notation of ai as a substring. Integers ki must satisfy 1 ≤ ki ≤ 1050.
It can be shown that the answer always exists under the given constraints. If there are multiple answers, print any of them.
Examples
Input
2
8
2
Output
3
1
Input
2
3
4857
Output
5
20
Submitted Solution:
```
#from math import *
from sys import *
from random import *
from time import *
#from decimal import *
#getcontext().prec = 100
#in_ = open("input.txt","r")
#out_ = open("output.txt","w")
mod = 10 ** 100
n = int(input())
a = []
for i in range(n):
a += input().split()
ans = [-1] * n
cnt = 0
k = randint(57434443456, 324435434354)
kk = pow(2, k, mod)
tt = clock()
while cnt < n:
kek = str(kk)
for i in range(n):
if ans[i] == -1 and kek.find(a[i]) != -1:
ans[i] = k
cnt += 1
k += 1
kk = 2 * kk % mod
if k & 0xFF and clock() - tt > 1.7:
break;
for i in range(n):
#assert ans[i] != -1
if(ans[i] == -1):
ans[i] = randint(21345541234,35445653434432)
print(ans[i])
``` | instruction | 0 | 27,996 | 5 | 55,992 |
No | output | 1 | 27,996 | 5 | 55,993 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n positive integers a1, a2, ..., an.
For every ai you need to find a positive integer ki such that the decimal notation of 2ki contains the decimal notation of ai as a substring among its last min(100, length(2ki)) digits. Here length(m) is the length of the decimal notation of m.
Note that you don't have to minimize ki. The decimal notations in this problem do not contain leading zeros.
Input
The first line contains a single integer n (1 ≤ n ≤ 2 000) — the number of integers ai.
Each of the next n lines contains a positive integer ai (1 ≤ ai < 1011).
Output
Print n lines. The i-th of them should contain a positive integer ki such that the last min(100, length(2ki)) digits of 2ki contain the decimal notation of ai as a substring. Integers ki must satisfy 1 ≤ ki ≤ 1050.
It can be shown that the answer always exists under the given constraints. If there are multiple answers, print any of them.
Examples
Input
2
8
2
Output
3
1
Input
2
3
4857
Output
5
20
Submitted Solution:
```
import sys
import math
from decimal import *
line = lambda: list(int(x) for x in input().split())
def pow(n, k, p):
if k == 0:
return 1 % p
if k % 2 == 1:
return pow(n, k - 1, p) * n % p
t = pow(n, k / 2, p)
return t * t % p;
test = int(input())
for i in range(0, test):
x = int(input())
x = x * 10 ** 5
x += (2 ** 16 - x % 2 ** 16) % 2 ** 16
if x % 5 == 0:
x += 2 ** 16;
res = 0
for i in range(1, 16 + 1):
while pow(2, res, 5 ** i) != x % 5 ** i:
if i == 1:
res += 1
else:
res += 4 * 5 ** (i - 2)
res += 4 * 5 ** 15
print(res)
``` | instruction | 0 | 27,997 | 5 | 55,994 |
No | output | 1 | 27,997 | 5 | 55,995 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,032 | 5 | 56,064 |
"Correct Solution:
```
n, s = map(int, input().split())
a = list(map(int, input().split()))
dp = [[k + 1] + [0] * s for k in range(n + 1)] #dp[i][j] : 左からi個使ってぴったりj
for i in range(1, n + 1):
for j in range(1, s + 1):
if j - a[i - 1] < 0:
dp[i][j] = dp[i - 1][j] % 998244353
else:
dp[i][j] = (dp[i - 1][j] + dp[i - 1][j - a[i - 1]]) % 998244353
ans = 0
for i in range(1, n + 1):
ans += dp[i][s]
ans %= 998244353
print(ans)
``` | output | 1 | 28,032 | 5 | 56,065 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,033 | 5 | 56,066 |
"Correct Solution:
```
n,s = map(int, input().split())
a = list(map(int, input().split()))
mod = 998244353
dp = [[0] * (s+1) for i in range(n+1)]
for i in range(n):
dp[i][0] = 1
for i in range(n):
for j in range(s+1):
dp[i+1][j] += dp[i][j]
dp[i+1][j] %= mod
if j >= a[i]:
dp[i+1][j] += dp[i][j-a[i]]
dp[i+1][j] %= mod
ans = list()
for i in dp:
ans.append(i[-1])
ans = ans[1:]
print(sum(ans)%mod)
``` | output | 1 | 28,033 | 5 | 56,067 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,034 | 5 | 56,068 |
"Correct Solution:
```
M = 998244353
N, S = map(int, input().split())
ans = 0
prev = [0]*S
for i, a in enumerate(map(int, input().split()), 1):
if a > S:
continue
prev[0] = i
ans += prev[S-a]*(N-i+1)
for j, s in enumerate(prev[:S-a], a):
prev[j] += s
print(ans%M)
``` | output | 1 | 28,034 | 5 | 56,069 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,035 | 5 | 56,070 |
"Correct Solution:
```
# coding: utf-8
import sys
sr = lambda: sys.stdin.readline().rstrip()
ir = lambda: int(sr())
lr = lambda: list(map(int, sr().split()))
N, S = lr()
A = lr()
MOD = 998244353
dp = [0] * (S+1)
answer = 0
for a in A:
dp[0] += 1
for x in range(S, a-1, -1):
dp[x] += dp[x-a]
answer += dp[-1]
answer %= MOD
print(answer%MOD)
``` | output | 1 | 28,035 | 5 | 56,071 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,036 | 5 | 56,072 |
"Correct Solution:
```
def main():
mod = 998244353
n, s = map(int, input().split())
a = list(map(int, input().split()))
dp = [0] * (s + 1)
for i, x in enumerate(a):
if x >= s:
if x == s:
dp[s] += (i + 1) * (n - i)
dp[s] %= mod
continue
dp[s] += dp[s-x] * (n - i)
dp[s] %= mod
for j in range(s-x-1, 0, -1):
dp[j+x] += dp[j]
dp[j+x] %= mod
dp[x] += i + 1
dp[x] %= mod
print(dp[s])
main()
``` | output | 1 | 28,036 | 5 | 56,073 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,037 | 5 | 56,074 |
"Correct Solution:
```
def solve():
MOD = 998244353
N, S = map(int, input().split())
As = list(map(int, input().split()))
dp1 = [0] * (S+1)
dp2S = 0
for A in As:
dp2S += dp1[S]
if S-A >= 0:
dp2S += dp1[S-A]
if S-A == 0:
dp2S += 1
dp2S %= MOD
for sm in reversed(range(A+1, S+1)):
dp1[sm] += dp1[sm-A]
dp1[sm] %= MOD
if S-A >= 0:
dp1[A] += dp1[0] + 1
dp1[A] %= MOD
dp1[0] += 1
print(dp2S)
solve()
``` | output | 1 | 28,037 | 5 | 56,075 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,038 | 5 | 56,076 |
"Correct Solution:
```
def main():
n, s = map(int, input().split())
a = list(map(int, input().split()))
mod = 998244353
dp = [[0]*3001 for _ in [0]*n]
dp[0][a[0]] = 1
for j, i in enumerate(a[1:]):
dp[j+1][i] += (j+2)
for k in range(3001-i):
dp[j+1][i+k] = (dp[j+1][i+k]+dp[j][k]) % mod
for k in range(3001):
dp[j+1][k] = (dp[j+1][k]+dp[j][k]) % mod
print(sum([dp[i][s] for i in range(n)]) % mod)
main()
``` | output | 1 | 28,038 | 5 | 56,077 |
Provide a correct Python 3 solution for this coding contest problem.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152 | instruction | 0 | 28,039 | 5 | 56,078 |
"Correct Solution:
```
#!/usr/bin/env python3
n,s = map(int,input().split())
a = list(map(int,input().split()))
dp = [[0]*(3001) for _ in range(3001)]
# dp[i][j] は i 番目までを使った時に、どれだけの組み合わせがあり、かける必要があるか？
ans = 0
mod = 998244353
for i in range(n):
dp[i][a[i]] = i+1
if a[i] == s:
ans += (i+1)*(n-i) %mod
for i in range(0,n):
for j in range(s+1):
if j > a[i]:
dp[i][j] += dp[i-1][j] + dp[i-1][j-a[i]]
dp[i][j] %= mod
if j == s:
ans += dp[i-1][j-a[i]] * (n-i)
ans %= mod
#print(ans,i,j)
else:
dp[i][j] += dp[i-1][j]
dp[i][j] %= mod
print(ans%mod)
``` | output | 1 | 28,039 | 5 | 56,079 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
def main():
MOD = 998244353
N, S = map(int, input().split())
*A, = map(int, input().split())
dp = [0] * (S + 1)
ans = 0
for x in A:
dp[0] += 1
for j in range(S, x - 1, -1):
dp[j] = (dp[j] + dp[j - x]) % MOD
ans = (ans + dp[S]) % MOD
print(ans)
if __name__ == '__main__':
main()
``` | instruction | 0 | 28,040 | 5 | 56,080 |
Yes | output | 1 | 28,040 | 5 | 56,081 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
from heapq import *
import sys
from collections import *
from itertools import *
from decimal import *
import copy
from bisect import *
import math
sys.setrecursionlimit(4100000)
def gcd(a,b):
if(a%b==0):return(b)
return (gcd(b,a%b))
input=lambda :sys.stdin.readline().rstrip()
N,S=map(int,input().split())
A=list(map(int,input().split()))
mod=998244353
dp=[0 for n in range(3001)]
c=0
for n in range(N):
a=A[n]
for s in range(0,S+1)[::-1]:
if s+a<=S:
dp[s+a]+=dp[s]
dp[s+a]%=mod
dp[a]+=n+1
dp[a]%=mod
c+=dp[S]
c%=mod
#print(dp[S])
print(c)
``` | instruction | 0 | 28,041 | 5 | 56,082 |
Yes | output | 1 | 28,041 | 5 | 56,083 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
n, s = map(int, input().split())
*A, = map(int, input().split())
p = 998244353
DP = [[0 for j in range(s + 1)] for i in range(n + 1)]
for i in range(1, n + 1):
for j in range(s + 1):
DP[i][j] += DP[i - 1][j]
if j >= A[i - 1]:
DP[i][j] += DP[i - 1][j - A[i - 1]]
if j == A[i - 1] or j == 0:
DP[i][j] += 1
DP[i][j] %= p
ans = 0
for i in range(1, n + 1):
ans += DP[i][s]
ans %= p
print(ans)
``` | instruction | 0 | 28,042 | 5 | 56,084 |
Yes | output | 1 | 28,042 | 5 | 56,085 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
n,s,*a=map(int,open(0).read().split())
ans=0
mod=998244353
dp=[0]*(s+1)
for i in range(n):
dp[0]+=1
if a[i]>s:
continue
ans+=dp[s-a[i]]*(n-i)
ans%=mod
for j in range(s,a[i]-1,-1):
dp[j]+=dp[j-a[i]]
dp[j]%=mod
print(ans)
``` | instruction | 0 | 28,043 | 5 | 56,086 |
Yes | output | 1 | 28,043 | 5 | 56,087 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
#!python3
import numpy as np
# input
N, S = list(map(int, input().split()))
A = list(map(int, input().split()))
MOD = 998244353
def add_elements(w, i):
a = A[i]
w[a:] += w[:-a]
if a <= S:
w[a] += i + 1
w %= MOD
def main():
w = np.zeros(S + 1, dtype=int)
ans = 0
for i in range(N):
add_elements(w, i)
ans = (ans + w[S]) % MOD
print(i, w)
print(ans)
if __name__ == "__main__":
main()
``` | instruction | 0 | 28,044 | 5 | 56,088 |
No | output | 1 | 28,044 | 5 | 56,089 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
import sys
def main():
input = sys.stdin.readline
N,S = map(int, input().split())
A = list(map(int, input().split()))
dp0 = [[Mint() for _ in range(S+1)] for _ in range(N+1)]
dp1 = [[Mint() for _ in range(S+1)] for _ in range(N+1)]
dp2 = [[Mint() for _ in range(S+1)] for _ in range(N+1)]
dp0[0][0] += 1
for i in range(N):
a = A[i]
dp0i = dp0[i]
dp1i = dp1[i]
dp2i = dp2[i]
dp0n = dp0[i+1]
dp1n = dp1[i+1]
dp2n = dp2[i+1]
for j in range(S+1):
dp0ij = dp0i[j]
dp1ij = dp1i[j]
dp0n[j] += dp0ij
dp1n[j] += dp1ij
dp2n[j] += dp2i[j]
if j+a > S: continue
to1 = dp0ij * (i+1) + dp1ij
dp1n[j+a] += to1
dp2n[j+a] += to1 * (N-i)
print(dp2[N][S])
MOD = 998244353
class Mint:
def __init__(self, value=0):
self.value = value % MOD
if self.value < 0: self.value += MOD
@staticmethod
def get_value(x): return x.value if isinstance(x, Mint) else x
def inverse(self):
a, b = self.value, MOD
u, v = 1, 0
while b:
t = a // b
b, a = a - t * b, b
v, u = u - t * v, v
if u < 0: u += MOD
return u
def __repr__(self): return str(self.value)
def __eq__(self, other): return self.value == other.value
def __neg__(self): return Mint(-self.value)
def __hash__(self): return hash(self.value)
def __bool__(self): return self.value != 0
def __iadd__(self, other):
self.value += Mint.get_value(other)
if self.value >= MOD: self.value -= MOD
return self
def __add__(self, other):
new_obj = Mint(self.value)
new_obj += other
return new_obj
__radd__ = __add__
def __isub__(self, other):
self.value -= Mint.get_value(other)
if self.value < 0: self.value += MOD
return self
def __sub__(self, other):
new_obj = Mint(self.value)
new_obj -= other
return new_obj
def __rsub__(self, other):
new_obj = Mint(Mint.get_value(other))
new_obj -= self
return new_obj
def __imul__(self, other):
self.value = self.value * Mint.get_value(other) % MOD
return self
def __mul__(self, other):
new_obj = Mint(self.value)
new_obj *= other
return new_obj
__rmul__ = __mul__
def __ifloordiv__(self, other):
other = other if isinstance(other, Mint) else Mint(other)
self *= other.inverse()
return self
def __floordiv__(self, other):
new_obj = Mint(self.value)
new_obj //= other
return new_obj
def __rfloordiv__(self, other):
new_obj = Mint(Mint.get_value(other))
new_obj //= self
return new_obj
if __name__ == '__main__':
main()
``` | instruction | 0 | 28,045 | 5 | 56,090 |
No | output | 1 | 28,045 | 5 | 56,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
N, S = map(int, input().split())
data = list(map(int, input().split()))
MOD = 998244353
# dp = [[0]*(3000+1) for _ in range(N)]
# ans = 0
# for i, num in enumerate(data):
# dp[i][num] = 1
# for j in range(i):
# for k in range(S-num, 0, -1):
# if dp[j][k] >= 1:
# dp[j][k+num] += dp[j][k]
# if k == num:
# dp[j][num] += 1
# for j in range(i+1):
# ans += dp[j][S]
# ans %= MOD
# print(ans)
ans = 0
dp = [[] for _ in range(21)]
dp[0] = [0]
for i, num in enumerate(data):
for j in range(S-num, -1, -1):
for item in dp[j]:
dp[j+num] += [item+(1<<i)]
for item in dp[S]:
for i in range(N+1):
if item < (1<<i):
a = N - i + 1
break
for i in range(N):
if item & (1<<i) != 0:
b = i + 1
break
ans = (a*b+ans)%MOD
print(ans)
``` | instruction | 0 | 28,046 | 5 | 56,092 |
No | output | 1 | 28,046 | 5 | 56,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given are a sequence of N integers A_1, A_2, \ldots, A_N and a positive integer S.
For a pair of integers (L, R) such that 1\leq L \leq R \leq N, let us define f(L, R) as follows:
* f(L, R) is the number of sequences of integers (x_1, x_2, \ldots , x_k) such that L \leq x_1 < x_2 < \cdots < x_k \leq R and A_{x_1}+A_{x_2}+\cdots +A_{x_k} = S.
Find the sum of f(L, R) over all pairs of integers (L, R) such that 1\leq L \leq R\leq N. Since this sum can be enormous, print it modulo 998244353.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq S \leq 3000
* 1 \leq A_i \leq 3000
Input
Input is given from Standard Input in the following format:
N S
A_1 A_2 ... A_N
Output
Print the sum of f(L, R), modulo 998244353.
Examples
Input
3 4
2 2 4
Output
5
Input
5 8
9 9 9 9 9
Output
0
Input
10 10
3 1 4 1 5 9 2 6 5 3
Output
152
Submitted Solution:
```
a
``` | instruction | 0 | 28,047 | 5 | 56,094 |
No | output | 1 | 28,047 | 5 | 56,095 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences S and T of length N and M, respectively, both consisting of integers between 1 and 10^5 (inclusive).
In how many pairs of a subsequence of S and a subsequence of T do the two subsequences are the same in content?
Here the subsequence of A is a sequence obtained by removing zero or more elements from A and concatenating the remaining elements without changing the order.
For both S and T, we distinguish two subsequences if the sets of the indices of the removed elements are different, even if the subsequences are the same in content.
Since the answer can be tremendous, print the number modulo 10^9+7.
Constraints
* 1 \leq N, M \leq 2 \times 10^3
* The length of S is N.
* The length of T is M.
* 1 \leq S_i, T_i \leq 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N M
S_1 S_2 ... S_{N-1} S_{N}
T_1 T_2 ... T_{M-1} T_{M}
Output
Print the number of pairs of a subsequence of S and a subsequence of T such that the subsequences are the same in content, modulo 10^9+7.
Examples
Input
2 2
1 3
3 1
Output
3
Input
2 2
1 1
1 1
Output
6
Input
4 4
3 4 5 6
3 4 5 6
Output
16
Input
10 9
9 6 5 7 5 9 8 5 6 7
8 6 8 5 5 7 9 9 7
Output
191
Input
20 20
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Output
846527861
Submitted Solution:
```
n, m = map(int, input().split())
s = list(map(int, input().split()))
t = list(map(int, input().split()))
dp = [0 for i in range(m)]
mod = 10 ** 9 + 7
for si in s:
memo = [0]
for i, ti in enumerate(t):
memo.append((memo[-1] + dp[i]) % mod)
for i, ti in enumerate(t):
if si == ti:
dp[i] += memo[i] + 1
dp[i] %= mod
ans = 1
for dpi in dp:
ans += dpi
ans %= mod
print(ans)
``` | instruction | 0 | 28,072 | 5 | 56,144 |
Yes | output | 1 | 28,072 | 5 | 56,145 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences S and T of length N and M, respectively, both consisting of integers between 1 and 10^5 (inclusive).
In how many pairs of a subsequence of S and a subsequence of T do the two subsequences are the same in content?
Here the subsequence of A is a sequence obtained by removing zero or more elements from A and concatenating the remaining elements without changing the order.
For both S and T, we distinguish two subsequences if the sets of the indices of the removed elements are different, even if the subsequences are the same in content.
Since the answer can be tremendous, print the number modulo 10^9+7.
Constraints
* 1 \leq N, M \leq 2 \times 10^3
* The length of S is N.
* The length of T is M.
* 1 \leq S_i, T_i \leq 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N M
S_1 S_2 ... S_{N-1} S_{N}
T_1 T_2 ... T_{M-1} T_{M}
Output
Print the number of pairs of a subsequence of S and a subsequence of T such that the subsequences are the same in content, modulo 10^9+7.
Examples
Input
2 2
1 3
3 1
Output
3
Input
2 2
1 1
1 1
Output
6
Input
4 4
3 4 5 6
3 4 5 6
Output
16
Input
10 9
9 6 5 7 5 9 8 5 6 7
8 6 8 5 5 7 9 9 7
Output
191
Input
20 20
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Output
846527861
Submitted Solution:
```
MOD = 10**9+7
N, M=map(int,input().split())
S=list(map(int,input().split()))
T=list(map(int,input().split()))
dp=[[1]*(M+1) for i in range(N+1)]
S_index=[[] for i in range(10**5+1)]
for i in range(N):
S_index[S[i]].append(i)
if len(S_index[S[i]])>=2:
ikkomae=S_index[S[i]][-2]
for j in range(M+1):
dp[i-1][j]=(dp[i-1][j]+dp[ikkomae-1][j])%MOD
for j in range(M):
dp[i][j]=dp[i][j-1]
if len(S_index[T[j]])>=1:
dp[i][j]=(dp[i][j]+dp[S_index[T[j]][-1]-1][j-1])%MOD
print(dp[N-1][M-1])
``` | instruction | 0 | 28,073 | 5 | 56,146 |
Yes | output | 1 | 28,073 | 5 | 56,147 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences S and T of length N and M, respectively, both consisting of integers between 1 and 10^5 (inclusive).
In how many pairs of a subsequence of S and a subsequence of T do the two subsequences are the same in content?
Here the subsequence of A is a sequence obtained by removing zero or more elements from A and concatenating the remaining elements without changing the order.
For both S and T, we distinguish two subsequences if the sets of the indices of the removed elements are different, even if the subsequences are the same in content.
Since the answer can be tremendous, print the number modulo 10^9+7.
Constraints
* 1 \leq N, M \leq 2 \times 10^3
* The length of S is N.
* The length of T is M.
* 1 \leq S_i, T_i \leq 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N M
S_1 S_2 ... S_{N-1} S_{N}
T_1 T_2 ... T_{M-1} T_{M}
Output
Print the number of pairs of a subsequence of S and a subsequence of T such that the subsequences are the same in content, modulo 10^9+7.
Examples
Input
2 2
1 3
3 1
Output
3
Input
2 2
1 1
1 1
Output
6
Input
4 4
3 4 5 6
3 4 5 6
Output
16
Input
10 9
9 6 5 7 5 9 8 5 6 7
8 6 8 5 5 7 9 9 7
Output
191
Input
20 20
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Output
846527861
Submitted Solution:
```
n, m = map(int, input().split())
s = list(map(int, input().split()))
t = list(map(int, input().split()))
M = 10**9+7
dp = [[1]*(m+1) for _ in range(n+1)]
for i in range(n):
for j in range(m):
if s[i] == t[j]:
dp[i+1][j+1] = dp[i+1][j] + dp[i][j+1]
else:
dp[i+1][j+1] = dp[i+1][j] + dp[i][j+1] - dp[i][j]
dp[i+1][j+1] %= M
#print(dp)
print(dp[-1][-1]%M)
``` | instruction | 0 | 28,074 | 5 | 56,148 |
Yes | output | 1 | 28,074 | 5 | 56,149 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences S and T of length N and M, respectively, both consisting of integers between 1 and 10^5 (inclusive).
In how many pairs of a subsequence of S and a subsequence of T do the two subsequences are the same in content?
Here the subsequence of A is a sequence obtained by removing zero or more elements from A and concatenating the remaining elements without changing the order.
For both S and T, we distinguish two subsequences if the sets of the indices of the removed elements are different, even if the subsequences are the same in content.
Since the answer can be tremendous, print the number modulo 10^9+7.
Constraints
* 1 \leq N, M \leq 2 \times 10^3
* The length of S is N.
* The length of T is M.
* 1 \leq S_i, T_i \leq 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N M
S_1 S_2 ... S_{N-1} S_{N}
T_1 T_2 ... T_{M-1} T_{M}
Output
Print the number of pairs of a subsequence of S and a subsequence of T such that the subsequences are the same in content, modulo 10^9+7.
Examples
Input
2 2
1 3
3 1
Output
3
Input
2 2
1 1
1 1
Output
6
Input
4 4
3 4 5 6
3 4 5 6
Output
16
Input
10 9
9 6 5 7 5 9 8 5 6 7
8 6 8 5 5 7 9 9 7
Output
191
Input
20 20
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Output
846527861
Submitted Solution:
```
mod = 10**9+7
N, M = map(int, input().split())
S = list(map(int, input().split()))
T = list(map(int, input().split()))
dp = [[0]*(M+1) for _ in range(N+1)]
dp[0][0] = 1
Sum = [[1]*(M+1) for _ in range(N+1)]
for i in range(1, N+1):
for j in range(1, M+1):
if S[i-1] == T[j-1]:
dp[i][j] = Sum[i-1][j-1]%mod
else:
dp[i][j] = 0
Sum[i][j] = (Sum[i-1][j]+Sum[i][j-1]-Sum[i-1][j-1]+dp[i][j])%mod
print(Sum[N][M]%mod)
``` | instruction | 0 | 28,075 | 5 | 56,150 |
Yes | output | 1 | 28,075 | 5 | 56,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences S and T of length N and M, respectively, both consisting of integers between 1 and 10^5 (inclusive).
In how many pairs of a subsequence of S and a subsequence of T do the two subsequences are the same in content?
Here the subsequence of A is a sequence obtained by removing zero or more elements from A and concatenating the remaining elements without changing the order.
For both S and T, we distinguish two subsequences if the sets of the indices of the removed elements are different, even if the subsequences are the same in content.
Since the answer can be tremendous, print the number modulo 10^9+7.
Constraints
* 1 \leq N, M \leq 2 \times 10^3
* The length of S is N.
* The length of T is M.
* 1 \leq S_i, T_i \leq 10^5
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N M
S_1 S_2 ... S_{N-1} S_{N}
T_1 T_2 ... T_{M-1} T_{M}
Output
Print the number of pairs of a subsequence of S and a subsequence of T such that the subsequences are the same in content, modulo 10^9+7.
Examples
Input
2 2
1 3
3 1
Output
3
Input
2 2
1 1
1 1
Output
6
Input
4 4
3 4 5 6
3 4 5 6
Output
16
Input
10 9
9 6 5 7 5 9 8 5 6 7
8 6 8 5 5 7 9 9 7
Output
191
Input
20 20
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
Output
846527861
Submitted Solution:
```
N , M = map(int,input().split())
S = list(map(int,input().split()))
T = list(map(int,input().split()))
sm = [[0] * (M+1) for _ in range(N+1)]
for i in range(1,N+1) :
for j in range(1,M+1) :
sm[i][j] = sm[i-1][j] + sm[i][j-1]
if S[i-1] == T[j-1] :
sm[i][j] += 1
else :
sm[i][j] -= sm[i-1][j-1]
ans = (sm[-1][-1] + 1) % (10**9 + 7)
print(ans)
``` | instruction | 0 | 28,076 | 5 | 56,152 |
No | output | 1 | 28,076 | 5 | 56,153 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.