text stringlengths 198 433k | conversation_id int64 0 109k |
|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves takoyaki - a ball-shaped snack.
With a takoyaki machine, he can make at most X pieces of takoyaki at a time, taking T minutes regardless of the number of pieces to make.
How long does it take to make N takoyaki?
Constraints
* 1 \leq N,X,T \leq 1000
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N X T
Output
Print an integer representing the minimum number of minutes needed to make N pieces of takoyaki.
Examples
Input
20 12 6
Output
12
Input
1000 1 1000
Output
1000000
Submitted Solution:
```
n,x,t = map(int,input().split())
if n % x == 0:
print(n / x * t)
else:
print(n / x * t + t)
```
No
| 92,400 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
a = int(input())
b = list(map(int,input().split()))
c = [0]*a
for i in b:
c[i-1] += 1
for i in c:
print(i)
```
| 92,401 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
n=int(input())
buka = [0]*n
for joushi in input().split():
buka[int(joushi)-1] += 1
print(*buka,sep='\n')
```
| 92,402 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
rank=[0]*n
for i in a:
rank[i-1]+=1
for i in rank:
print(i)
```
| 92,403 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
N = int(input())
B = [0] * N
for a in input().split():
B[int(a)-1] += 1
for b in B:
print(b)
```
| 92,404 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
N=int(input())
A=list(map(int,input().split()))
B=[0]*N
for i in A:
B[i-1]+=1
for i in B:
print(i)
```
| 92,405 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
N=int(input())
A=list(map(int,input().split()))
x=[0]*N
for i in A:
x[i-1]+=1
for j in x:
print(j)
```
| 92,406 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
n=int(input())
r=[0]*n
j=list(map(int, input().split()))
for i in j:
r[i-1]+=1
for i in r:
print(i)
```
| 92,407 |
Provide a correct Python 3 solution for this coding contest problem.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
"Correct Solution:
```
n=int(input())
j=[0]*n
*a,=map(int,input().split())
for i in a:
j[i-1]+=1
for i in range(n):
print(j[i])
```
| 92,408 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
n,*a=map(int,open(0).read().split())
l=[0 for i in range(n)]
for i in a:
l[i-1]+=1
print('\n'.join(map(str,l)))
```
Yes
| 92,409 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
n=int(input())
l=list(map(int,input().split()))
a=[0]*n
for i in l:
a[i-1]+=1
for i in a:
print(i)
```
Yes
| 92,410 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split()))
d = [0]*n
for i in a:
d[i-1] += 1
for i in d:
print(i)
```
Yes
| 92,411 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
N=int(input())
A=[int(v) for v in input().split()]
B = [0]*(N+1)
for a in A:
B[a]+=1
for b in B[1:]:
print(b)
```
Yes
| 92,412 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
N = int(input())
A = list(input().split())
B = [0 for i in range(N)]
for i in range (N-1):
for j in range (1,N+1):
if int(A[i])==j:
B[j-1]=B[j-1]+1
[print(i) for i in B]
```
No
| 92,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
I = [input() for i in range(2)]
N = int(I[0])
A = list(map(int,I[1].split()))
for i in range(N+1) :
c = A.count(i)
if i > 0 :
print(c)
```
No
| 92,414 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
N = int(input())
D = {i: [] for i in range(N)}
A = list(map(int, input().split()))
for i in range(N-1):
D[i].append(A[i]-1)
for i in range(N):
print(len(D[i]))
```
No
| 92,415 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A company has N members, who are assigned ID numbers 1, ..., N.
Every member, except the member numbered 1, has exactly one immediate boss with a smaller ID number.
When a person X is the immediate boss of a person Y, the person Y is said to be an immediate subordinate of the person X.
You are given the information that the immediate boss of the member numbered i is the member numbered A_i. For each member, find how many immediate subordinates it has.
Constraints
* 2 \leq N \leq 2 \times 10^5
* 1 \leq A_i < i
Input
Input is given from Standard Input in the following format:
N
A_2 ... A_N
Output
For each of the members numbered 1, 2, ..., N, print the number of immediate subordinates it has, in its own line.
Examples
Input
5
1 1 2 2
Output
2
2
0
0
0
Input
10
1 1 1 1 1 1 1 1 1
Output
9
0
0
0
0
0
0
0
0
0
Input
7
1 2 3 4 5 6
Output
1
1
1
1
1
1
0
Submitted Solution:
```
n=int(input())
p=list(map(int,input().split()))
li=[]
for i in range(1,n):
q=p.count(i)
li.append(q)
nl=li.split("\n")
print(nl)
```
No
| 92,416 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
s = input()
print(sum(1 for a, b in zip(s, reversed(s)) if a != b) // 2)
```
| 92,417 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
A=input()
c=0
B=A[::-1]
for i in range(len(A)):
if A[i]!=B[i]:
c+=1
print(c//2)
```
| 92,418 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
s=input()
l=len(s)
x=0
for i in range(l//2):
if s[i]!=s[l-i-1]:
x+=1
print(x)
```
| 92,419 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
s = input()
t = 0
for i in range(len(s)//2):
if s[i] != s[-(i+1)]:
t += 1
print(t)
```
| 92,420 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
S=input()
a=0
for i in range(len(S)//2):a+=S[i]!=S[-1-i]
print(a)
```
| 92,421 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
s=input()
n=len(s)
sm=0
for i in range(n//2):
sm+=(s[i]!=s[n-i-1])
print(sm)
```
| 92,422 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
S = input()
c = 0
for i in range(int(len(S)/2)):
if S[i] != S[-i-1]:
c += 1
print(c)
```
| 92,423 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
"Correct Solution:
```
s=input()
l=len(s)
ct=0
for i in range(l//2):
if s[i]!=s[l-1-i]:
ct+=1
print(ct)
```
| 92,424 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
s = input()
l = sum(x != y for x,y in zip(s,s[::-1]))
print((l+1)//2)
```
Yes
| 92,425 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
s=input();print(sum(a>b for a,b in zip(s,s[::-1])))
```
Yes
| 92,426 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
s=input()
l=len(s)
ans=0
for i in range(l//2):
if s[i]!=s[-(i+1)]:
ans+=1
print(ans)
```
Yes
| 92,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
S = input()
print(sum([S[i] != S[-i-1] for i in range(len(S)//2)]))
```
Yes
| 92,428 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
s = input()
p = len(s)
q = p-1
qq = q%2
ss = list(s)
r=0
if qq == 1:
for i in range(0,q+1/2):
if ss[i] != ss[q-i]:
ss[i] = ss[q-i]
r= r+1
elif qq == 0:
for i in range(0,q//2):
if ss[i] != ss[q-i]:
ss[i] = ss[q-i]
r = r+1
print(r)
```
No
| 92,429 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
s = input()
s2 = list(reversed(s))
ans = 0
for i in range(len(s)):
if s[i] != s2[i]:
ans += 1
if (len(s) % 2 == 0 and i == int(len(s) / 2)):
ans -= 1
print(ans)
```
No
| 92,430 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
s=input()
n=len(s)
sum=0
for i in range(n):
if s(i)!=s(n-i):
sum+=1
print(sum//2)
```
No
| 92,431 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi loves palindromes. Non-palindromic strings are unacceptable to him. Each time he hugs a string, he can change one of its characters to any character of his choice.
Given is a string S. Find the minimum number of hugs needed to make S palindromic.
Constraints
* S is a string consisting of lowercase English letters.
* The length of S is between 1 and 100 (inclusive).
Input
Input is given from Standard Input in the following format:
S
Output
Print the minimum number of hugs needed to make S palindromic.
Examples
Input
redcoder
Output
1
Input
vvvvvv
Output
0
Input
abcdabc
Output
2
Submitted Solution:
```
s = list(input())
l = len(s)
m = l//2
h = 0
count=0
if l%2!=0:
h = 1
for i in range(m):
if s[i]!=s[m+i+h]:
count+=1
print(count)
```
No
| 92,432 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
import bisect
N = int(input())
LIS = [-1 * int(input())]
for _ in range(N-1):
A = -1 * int(input())
if A >= LIS[-1]:
LIS.append(A)
else:
LIS[bisect.bisect_right(LIS, A)] = A
print(len(LIS))
```
| 92,433 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
from bisect import bisect as br
n=int(input())
x=[-1]*n
for _ in range(n):
a=int(input())
i=br(x,a-1)-1
x[i]=a
print(n-x.count(-1))
```
| 92,434 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
N = int(input())
A = [int(input()) for i in range(N)]
from bisect import *
h = []
for a in A:
x = bisect_right(h, -a)
if len(h) <= x:
h.append(-a)
else:
h[x] = -a
result = len(h)
print(result)
```
| 92,435 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
n=int(input())
a=[int(input())*(-1) for _ in range(n)]
inf=10**10
l=[inf]*n
import bisect
for i in range(n):
r=bisect.bisect_right(l,a[i])
l[r]=a[i]
cnt=0
for i in range(n):
if l[i]!=inf:
cnt+=1
else:
break
print(cnt)
```
| 92,436 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
N = int(input())
A = [int(input()) for i in range(N)]
from bisect import bisect
arr = []
for a in A:
i = bisect(arr, -a)
if i==len(arr):
arr.append(-a)
else:
arr[i] = -a
print(len(arr))
```
| 92,437 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
from bisect import bisect_right
N = int(input())
A = [int(input()) for i in range(N)]
A = [-a for a in A]
X = []
for a in A:
i = bisect_right(X, a)
if i == len(X):
X.append(a)
else:
X[i] = a
print(len(X))
```
| 92,438 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
from bisect import bisect_right
n = int(input())
color = [0] * (n+1)
for i in range(n):
a = int(input())
j = bisect_right(color, a)
color[j-1] = a+1
ans = 0
for t in color:
if t != 0:
ans += 1
print(ans)
```
| 92,439 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
"Correct Solution:
```
from bisect import bisect
n = int(input())
a = [int(input()) for _ in range(n)]
dp = [1 for _ in range(n+2)]
for i in range(n):
b = bisect(dp, -a[i])
dp[b] = -a[i]
ans = 1
while dp[ans] <= 0:
ans += 1
print(ans)
```
| 92,440 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
from bisect import bisect
N, *A = map(int, open(0).read().split())
INF = 10 ** 9 + 7
dp = [INF] * (N + 1)
for i in range(N):
dp[bisect(dp, -A[i])] = -A[i]
print(sum(dp[i] < INF for i in range(N)))
```
Yes
| 92,441 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
from collections import deque
import bisect
N = int(input())
A = deque()
for _ in range(N):
x = int(input())
i = bisect.bisect_left(A,x)
if i == 0:
A.appendleft(x)
else:
A[i-1] = x
print(len(A))
```
Yes
| 92,442 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
from bisect import bisect_right
N = int(input())
A = []
for i in range(N):
A.append(-int(input()))
INF = float('inf')
D = [INF] * N
for i in range(len(A)):
D[bisect_right(D, A[i])] = A[i]
print(N - D.count(INF))
```
Yes
| 92,443 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
from bisect import bisect_right
N = int(input())
S = [1]
for _ in range(N):
a = int(input())
a *= -1
i = bisect_right(S, a)
if i == len(S):
S.append(a)
else:
S[i] = a
print(len(S))
```
Yes
| 92,444 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
N = int(input())
A = []
for _ in range(N):
a = int(input())
A.append(a)
nums = A[:]
colors = []
from bisect import bisect_left, bisect_right, insort_right
cnt = 0
for n in nums:
idx = bisect_right(colors, n)
if idx == 0:
insort_right(colors, n)
else:
if idx == len(colors):
colors[idx-1] = max(n, colors[idx-1])
else:
colors[idx] = max(n, colors[idx])
#print(colors)
print(len(colors))
```
No
| 92,445 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
N = int(input())
A = []
for i in range(N):
A.append(int(input()))
count = 1
tmp = A[0]
for i in range(1,N):
if tmp >= A[i]:
count = count+1
tmp = A[i]
print(count)
```
No
| 92,446 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
# ABC134E - Sequence Decomposing
def lis(A: "Array[int]") -> int:
from bisect import bisect_left
# dp := length of LIS (dp table itself is not LIS)
dp = [A[0]]
for i in A[1:]:
if i >= dp[-1]:
dp.append(i)
else:
dp[bisect_left(dp, i)] = i
return len(dp)
def main():
N, *A = map(int, open(0))
ans = lis([-i for i in A]) # need the length of lds -> -i
print(ans)
if __name__ == "__main__":
main()
```
No
| 92,447 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence with N integers: A = \\{ A_1, A_2, \cdots, A_N \\}. For each of these N integers, we will choose a color and paint the integer with that color. Here the following condition must be satisfied:
* If A_i and A_j (i < j) are painted with the same color, A_i < A_j.
Find the minimum number of colors required to satisfy the condition.
Constraints
* 1 \leq N \leq 10^5
* 0 \leq A_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
A_1
:
A_N
Output
Print the minimum number of colors required to satisfy the condition.
Examples
Input
5
2
1
4
5
3
Output
2
Input
4
0
0
0
0
Output
4
Submitted Solution:
```
N = int(input())
A = [int(input()) for _ in range(N)]
B = [A[0]]
for i in range(1,N):
if A[i]<=B[-1]:
B.append(A[i])
elif A[i]>B[0]:
B[0] = A[i]
else:
l = 0
r = len(B)-1
while l+1<r:
c = (l+r)//2
if B[c]>=A[i]:
l = c
elif B[c]<A[i]:
r = c
if A[l]<A[i]:
A[l] = A[i]
else:
A[r] = A[i]
print(len(B))
```
No
| 92,448 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
print(["Heisei","TBD"][input()[5:7]>"04"])
```
| 92,449 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
s=input().replace("/","")
print("Heisei" if int(s)<=20190430 else "TBD")
```
| 92,450 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
S=str(input())
if int(S[5:7])<=4:
print('Heisei')
else:
print('TBD')
```
| 92,451 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
print('Heisei' if int(input()[5:7]) <= 4 else 'TBD')
```
| 92,452 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
a = input()
if a < '2019/05/01':
print('Heisei')
else:
print('TBD')
```
| 92,453 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
s = input()
print('Heisei' if '2019/04/30' >= s else 'TBD')
```
| 92,454 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
S = input()
print('TBD' if S > '2019/04/30' else 'Heisei')
```
| 92,455 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
"Correct Solution:
```
S=input()
if int(S[5]+S[6])>=5:
print('TBD')
else:
print('Heisei')
```
| 92,456 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
S=input()
if S[5:7]>'04':
print('TBD')
else:
print('Heisei')
```
Yes
| 92,457 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
a,b,c=map(int,input().split('/'))
print('Heisei'if b<5 else'TBD')
```
Yes
| 92,458 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
s=input()
print('Heisei' if s<='2019/04/30' else 'TBD')
```
Yes
| 92,459 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
date = input()
print('Heisei' if date<='2019/04/30' else 'TBD')
```
Yes
| 92,460 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
import datetime
x = input()
y = datetime.date(2019, 4, 30)
x_date = datetime.date(x.replace('/', ','))
if x_date <= y
print('Heisei')
else
print('TBD')
```
No
| 92,461 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
# Your code here!
ans = input().split("/")
for i in range(3):
ans[i] =int(ans[i])
if ans[0]==2019 and ans[1]>=5:
print("TDB")
else:
print("Heisei")
if ans[0]>2019:
print("TDB")
```
No
| 92,462 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
def main() -> None:
S = input()
Y, M, D = S.split("/")
if int(Y) >= 2019 and int(M) <= 4:
print("HEISEI")
else:
print("TBD")
if __name__ == '__main__':
main()
```
No
| 92,463 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a string S as input. This represents a valid date in the year 2019 in the `yyyy/mm/dd` format. (For example, April 30, 2019 is represented as `2019/04/30`.)
Write a program that prints `Heisei` if the date represented by S is not later than April 30, 2019, and prints `TBD` otherwise.
Constraints
* S is a string that represents a valid date in the year 2019 in the `yyyy/mm/dd` format.
Input
Input is given from Standard Input in the following format:
S
Output
Print `Heisei` if the date represented by S is not later than April 30, 2019, and print `TBD` otherwise.
Examples
Input
2019/04/30
Output
Heisei
Input
2019/11/01
Output
TBD
Submitted Solution:
```
s=input()
s = s.split("/")
if s[0] < 2019:
print("Heisei")
if s[0] == 2019 and s[0]<= 4:
print("Heisei")
else:
print("TBD")
```
No
| 92,464 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
import sys,time
sys.setrecursionlimit(10**7)
start_time = time.time()
N,M = map(int,input().split())
S = input()
src = [tuple(map(lambda x:int(x)-1,sys.stdin.readline().split())) for i in range(M)]
outdeg = [set() for i in range(2*N)]
for x,y in src:
if S[x] == S[y]:
#A0->A1, B0->B1
outdeg[x].add(y+N)
outdeg[y].add(x+N)
else:
#A1->B0, B1->A0
outdeg[x+N].add(y)
outdeg[y+N].add(x)
mem = [0] * (2*N)
def visit(v):
if time.time() - start_time > 1.8:
# gori~~~
print('No')
exit()
if mem[v] == 1:
print('Yes')
exit()
if mem[v] == 0:
mem[v] = 1
for to in outdeg[v]:
visit(to)
mem[v] = 2
for i in range(2*N):
visit(i)
print('No')
```
| 92,465 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
def examC():
N,M = LI()
S = SI()
V = [[] for _ in range(N)]
ok = [1]*N
acnt = [0]*N; bcnt = [0]*N
for _ in range(M):
a, b = LI()
V[a-1].append(b-1)
V[b-1].append(a-1)
if S[a-1]=="A":
acnt[b-1] +=1
else:
bcnt[b-1] +=1
if S[b-1]=="A":
acnt[a-1] +=1
else:
bcnt[a-1] +=1
NGque = deque()
for i in range(N):
if acnt[i]==0 or bcnt[i]==0:
ok[i]=0
NGque.append(i)
# print(ok,acnt,bcnt)
# print(NGque)
while(NGque):
cur = NGque.pop()
for i in V[cur]:
if ok[i]==1:
if S[cur] == "A":
acnt[i] -= 1
else:
bcnt[i] -= 1
if acnt[i] == 0 or bcnt[i] == 0:
ok[i] = 0
NGque.append(i)
if max(ok)==1:
ans = "Yes"
else:
ans = "No"
print(ans)
import sys,copy,bisect,itertools,math
from heapq import heappop,heappush,heapify
from collections import Counter,defaultdict,deque
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))
def LS(): return sys.stdin.readline().split()
def SI(): return sys.stdin.readline().strip()
mod = 10**9 + 7
inf = float('inf')
examC()
```
| 92,466 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
n, m = map(int, input().split())
s = input()
g = [[] for _ in range(n)]
for _ in range(m):
a, b = map(int, input().split())
g[a-1].append(b-1)
g[b-1].append(a-1)
count = [[0, 0] for _ in range(n)]
bad = []
for i in range(n):
for v in g[i]:
if s[v] == 'A':
count[i][0] += 1
else:
count[i][1] += 1
if count[i][0]*count[i][1] == 0:
bad.append(i)
visited = [False]*n
while bad:
v = bad.pop()
if visited[v]:
continue
visited[v] = True
for w in g[v]:
if not visited[w]:
if s[v] == 'A':
count[w][0] -= 1
else:
count[w][1] -= 1
if count[w][0]*count[w][1] == 0:
bad.append(w)
for i in range(n):
if count[i][0]*count[i][1] > 0:
print('Yes')
exit()
print('No')
```
| 92,467 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
from collections import deque
N, M = map(int, input().split())
S = input()
# 頂点iがラベルA・Bの頂点といくつ隣接しているか
connect_label = [[0, 0] for i in range(N)]
# 削除する予定の頂点を管理するキュー
queue = deque()
# 削除済みの頂点を管理する集合
deleted_set = set()
# 各頂点の連結情報
G = [[] for i in range(N)]
# 辺の情報を入力
for i in range(M):
a, b = map(int, input().split())
a, b = a-1, b-1
G[a].append(b)
G[b].append(a)
connect_label[a][1 - (S[b] == "A")] += 1
connect_label[b][1 - (S[a] == "A")] += 1
# AまたはBのみとしか連結してないものをキューに追加
for i in range(N):
if 0 in connect_label[i]:
queue.append(i)
# キューが空になるまで削除を繰り返す
while queue:
n = queue.pop()
# すでに削除していれば何もしない
if n in deleted_set:
continue
# 連結していた頂点について情報を書き換える
for v in G[n]:
connect_label[v][1 - (S[n] == "A")] -= 1
# 未削除で、AまたはBのみとしか連結しなくなったものはキューに追加
if (v not in deleted_set) and (0 in connect_label[v]):
queue.appendleft(v)
deleted_set.add(n)
# 全て削除していたらNo, そうでなければYes
print("Yes" if len(deleted_set) != N else "No")
```
| 92,468 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
import sys
input = sys.stdin.readline
N, M = map(int, input().split())
S = input().rstrip()
AB = []
AA = []
BB = []
for _ in range(M):
a, b = map(int, input().split())
if S[a-1] == "A" and S[b-1] == "B":
AB.append((a-1, b-1))
elif S[a-1] == "B" and S[b-1] == "A":
AB.append((b-1, a-1))
elif S[a-1] == "A":
AA.append((a-1, b-1))
else:
BB.append((a-1, b-1))
graph = [set() for _ in range(2*N)]
to_A = [False]*N
to_B = [False]*N
for a, b in AB:
graph[a].add(b)
graph[b+N].add(a+N)
to_B[a] = True
to_A[b] = True
for a, b in AA:
if to_B[a] or to_B[b]:
graph[b+N].add(a)
graph[a+N].add(b)
for a, b in BB:
if to_A[a] or to_A[b]:
graph[a].add(b+N)
graph[b].add(a+N)
Color = [-1]*(2*N)
loop = False
for n in range(2*N):
if Color[n] != -1:
continue
stack = [n]
Color[n] = n
while stack:
p = stack[-1]
update = False
for np in graph[p]:
if Color[np] == -1:
update = True
Color[np] = n
stack.append(np)
break
elif len(stack) > 1:
if np != stack[-2] and Color[np] == n:
loop = True
break
if not update:
stack.pop()
Color[p] = 10**14
if loop:
break
if loop:
break
print("Yes" if loop else "No")
```
| 92,469 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
"""
GC027 C
"""
n,m = map(int,input().split())
s = list(input())
ali = [0 for i in range(n)]
bli = [0 for i in range(n)]
from collections import defaultdict
graphAB = defaultdict(list)
for i in range(m):
u,v=map(int,input().split())
graphAB[u].append(v)
graphAB[v].append(u)
def incrementAB(node,adj):
if s[adj-1] == 'A':
ali[node-1]+=1
if s[adj-1] == 'B':
bli[node-1]+=1
def decrementAB(node,adj):
if s[adj-1] == 'A':
ali[node-1]-=1
if s[adj-1] == 'B':
bli[node-1]-=1
def adjAB(node):
if ali[node-1]!=0 and bli[node-1]!=0:
return(True)
else:
return(False)
graphvers = set(graphAB.keys())
visitset = set()
for i in range(1,n+1):
if not i in graphvers:
s[i-1] = 'C'
else:
for j in graphAB[i]:
incrementAB(i,j)
if not adjAB(i):
visitset.add(i)
while bool(visitset):
#print(graphAB)
#print(graphABopp)
#print(abli)
i = visitset.pop()
gen = (j for j in graphAB[i] if s[j-1]!='C')
for j in gen:
decrementAB(j,i)
if not adjAB(j):
visitset.add(j)
s[i-1] = 'C'
#print(graphAB)
#print(graphABopp)
sset= set(s)
sset.add('C')
sset.remove('C')
if bool(sset):
print('Yes')
else:
print('No')
```
| 92,470 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
N,M=map(int,input().split())
S="0"+input()
E=[[] for i in range(N+1)]
AOUT=[0]*(N+1)
BOUT=[0]*(N+1)
for i in range(M):
x,y=map(int,input().split())
E[x].append(y)
E[y].append(x)
if S[x]=="A":
AOUT[y]+=1
else:
BOUT[y]+=1
if S[y]=="A":
AOUT[x]+=1
else:
BOUT[x]+=1
from collections import deque
Q=deque()
USE=[0]*(N+1)
for i in range(N+1):
if AOUT[i]==0 or BOUT[i]==0:
Q.append(i)
USE[i]=1
while Q:
x=Q.pop()
for to in E[x]:
if USE[to]==0:
if S[x]=="A":
AOUT[to]-=1
else:
BOUT[to]-=1
if AOUT[to]==0 or BOUT[to]==0:
Q.append(to)
USE[to]=1
if 0 in USE:
print("Yes")
else:
print("No")
```
| 92,471 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
"Correct Solution:
```
from collections import deque
n, m = map(int, input().split())
s = input()
info = [list(map(int, input().split())) for i in range(m)]
graph = [[] for i in range(n)]
for i in range(m):
a, b = info[i]
a -= 1
b -= 1
graph[a].append(b)
graph[b].append(a)
v_num = [0] * n
for i in range(n):
if s[i] == "B":
v_num[i] = 1
q = deque([])
used = [False] * n
v_cnt = [[0, 0] for i in range(n)]
for i in range(n):
for j in graph[i]:
v_cnt[j][v_num[i]] += 1
for i in range(n):
if v_cnt[i][0] * v_cnt[i][1] == 0:
q.append(i)
used[i] = True
while q:
pos = q.pop()
for next_pos in graph[pos]:
if used[next_pos]:
continue
v_cnt[next_pos][v_num[pos]] -= 1
if v_cnt[next_pos][v_num[pos]] == 0:
q.append(next_pos)
used[next_pos] = True
for i in range(n):
if not used[i]:
print("Yes")
exit()
print("No")
```
| 92,472 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
"""
GC027 C
"""
n,m = map(int,input().split())
s = list(input())
edges = [tuple(map(int,input().split())) for i in range(m)]
ali = [0 for i in range(n)]
bli = [0 for i in range(n)]
def addEdge(graph,u,v):
graph[u].append(v)
from collections import defaultdict
graphAB = defaultdict(list)
def incrementAB(node,adj):
if s[adj-1] == 'A':
ali[node-1]+=1
if s[adj-1] == 'B':
bli[node-1]+=1
def decrementAB(node,adj):
if s[adj-1] == 'A':
ali[node-1]-=1
if s[adj-1] == 'B':
bli[node-1]-=1
for i,j in edges:
addEdge(graphAB,i,j)
addEdge(graphAB,j,i)
def adjAB(node):
if ali[node-1]!=0 and bli[node-1]!=0:
return(True)
else:
return(False)
graphvers = set(graphAB.keys())
visitset = set()
for i in range(1,n+1):
if not i in graphvers:
s[i-1] = 'C'
else:
for j in graphAB[i]:
incrementAB(i,j)
if not adjAB(i):
visitset.add(i)
while bool(visitset):
#print(graphAB)
#print(graphABopp)
#print(abli)
i = visitset.pop()
for j in graphAB[i]:
if s[j-1] != 'C':
decrementAB(j,i)
if not adjAB(j):
visitset.add(j)
s[i-1] = 'C'
#print(graphAB)
#print(graphABopp)
sset= set(s)
sset.add('C')
sset.remove('C')
if bool(sset):
print('Yes')
else:
print('No')
```
Yes
| 92,473 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
"""
GC027 C
"""
n,m = map(int,input().split())
s = bytearray(input(),'utf-8')
ali = [0 for i in range(n)]
bli = [0 for i in range(n)]
from collections import defaultdict
graphAB = defaultdict(list)
for i in range(m):
u,v=map(int,input().split())
graphAB[u].append(v)
graphAB[v].append(u)
def incrementAB(node,adj):
if s[adj-1] == 65:
ali[node-1]+=1
if s[adj-1] == 66:
bli[node-1]+=1
def decrementAB(node,adj):
if s[adj-1] == 65:
ali[node-1]-=1
if s[adj-1] == 66:
bli[node-1]-=1
graphvers = set(graphAB.keys())
visitset = set()
for i in range(1,n+1):
if not i in graphvers:
s[i-1] = 67
else:
for j in graphAB[i]:
incrementAB(i,j)
if not (ali[i-1] and bli[i-1]):
visitset.add(i)
while bool(visitset):
#print(graphAB)
#print(graphABopp)
#print(abli)
i = visitset.pop()
for j in filter(lambda x: s[x-1]!=67,graphAB[i]):
decrementAB(j,i)
if not (ali[j-1] and bli[j-1]):
visitset.add(j)
s[i-1] = 67
#print(graphAB)
#print(graphABopp)
sset= set(s)
sset.add(67)
sset.remove(67)
if bool(sset):
print('Yes')
else:
print('No')
```
Yes
| 92,474 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
import queue
import sys
input = sys.stdin.readline
def toab(s, ab, node):
toa, tob = False, False
for k in ab:
if k not in node:
continue
if s[k - 1] == 'A':
toa = True
if tob:
return True
elif s[k - 1] == 'B':
tob = True
if toa:
return True
return False
ab = {}
node = {}
N, M = map(int, input().split())
s = input()
for i in range(M):
a, b = map(int, input().split())
if a not in ab:
ab[a] = {}
ab[a][b] = True
if b not in ab:
ab[b] = {}
ab[b][a] = True
node[a] = True
node[b] = True
for i in range(N + 1):
if i not in node:
continue
q = queue.Queue()
q.put(i)
while not q.empty():
j = q.get()
if j in node and not toab(s, ab[j], node):
node.pop(j)
for k in ab[j]:
if k in node:
q.put(k)
if not node:
print('No')
else:
print('Yes')
```
Yes
| 92,475 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
# C
from collections import deque
N, M = map(int, input().split())
s = list(input())
s_ = []
for c in s:
s_.append(c)
# Graph
G = dict()
for i in range(1, N+1):
G[i] = dict()
for _ in range(M):
a, b = map(int, input().split())
G[a][b] = 1
G[b][a] = 1
# clean up
queue = deque()
go = True
As = [0]*N
Bs = [0]*N
for i in range(1, N+1):
if s[i-1] != "C":
a = 0
b = 0
for k in G[i].keys():
v = s_[k-1]
if v == "A":
a += 1
elif v == "B":
b += 1
As[i-1] = a
Bs[i-1] = b
if a*b == 0:
queue.append(i)
s[i-1] = "C"
while len(queue) > 0:
j = queue.popleft()
for i in G[j].keys():
if s[i-1] != "C":
if s_[j-1] == "A":
As[i-1] -= 1
else:
Bs[i-1] -= 1
if As[i-1] * Bs[i-1] == 0:
queue.append(i)
s[i-1] = "C"
if "A" in s and "B" in s:
print("Yes")
else:
print("No")
```
Yes
| 92,476 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
import sys
sys.setrecursionlimit(10**7)
N,M = map(int,input().split())
S = input()
src = [tuple(map(lambda x:int(x)-1,input().split())) for i in range(M)]
aa = [set() for i in range(N)]
bb = [set() for i in range(N)]
ab = [set() for i in range(N)]
ba = [set() for i in range(N)]
for x,y in src:
if S[x] != S[y]:
if S[x] == 'A':
ab[x].add(y)
ba[y].add(x)
else:
ba[x].add(y)
ab[y].add(x)
elif S[x] == 'A':
aa[x].add(y)
aa[y].add(x)
else:
bb[x].add(y)
bb[y].add(x)
skip = [False] * N
def remove(i):
if skip[i]: return
if S[i] == 'A':
if aa[i]: return
for b in ab[i]:
remove(b)
if i in ba[b]:
ba[b].remove(i)
ab[i] = set()
else:
if bb[i]: return
for a in ba[i]:
remove(a)
if i in ab[a]:
ab[a].remove(i)
ba[i] = set()
skip[i] = True
for i in range(N):
remove(i)
mem = [[None]*N for i in range(4)]
def rec(v, depth):
if mem[depth][v] is not None:
return mem[depth][v]
ret = False
if depth == 0:
for to in ab[v]:
if rec(to, depth+1):
ret = True
break
elif depth == 1:
for to in bb[v]:
if rec(to, depth+1):
ret = True
break
elif depth == 2:
for to in ba[v]:
if rec(to, depth+1):
ret = True
break
else:
for to in aa[v]:
if ab[to]:
ret = True
mem[depth][v] = ret
return ret
for i in range(N):
if rec(i, 0):
print('Yes')
exit()
print('No')
```
No
| 92,477 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
#####segfunc#####
def segfunc(x, y):
if x[0]>y[0]:
return y
elif x[0]<y[0]:
return x
elif x[1]>y[1]:
return y
else:
return x
#################
#####ide_ele#####
ide_ele = [float("inf"),-1]
#################
class SegTree:
"""
init(init_val, ide_ele): 配列init_valで初期化 O(N)
update(k, x): k番目の値をxに更新 O(logN)
query(l, r): 区間[l, r)をsegfuncしたものを返す O(logN)
"""
def __init__(self, init_val, segfunc, ide_ele):
"""
init_val: 配列の初期値
segfunc: 区間にしたい操作
ide_ele: 単位元
n: 要素数
num: n以上の最小の2のべき乗
tree: セグメント木(1-index)
"""
n = len(init_val)
self.segfunc = segfunc
self.ide_ele = ide_ele
self.num = 1 << (n - 1).bit_length()
self.tree = [ide_ele] * 2 * self.num
# 配列の値を葉にセット
for i in range(n):
self.tree[self.num + i] = init_val[i]
# 構築していく
for i in range(self.num - 1, 0, -1):
self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1])
def update(self, k, x):
"""
k番目の値をxに更新
k: index(0-index)
x: update value
"""
k += self.num
self.tree[k][0] += x
while k > 1:
self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1])
k >>= 1
def query(self, l, r):
"""
[l, r)のsegfuncしたものを得る
l: index(0-index)
r: index(0-index)
"""
res = self.ide_ele
l += self.num
r += self.num
while l < r:
if l & 1:
res = self.segfunc(res, self.tree[l])
l += 1
if r & 1:
res = self.segfunc(res, self.tree[r - 1])
l >>= 1
r >>= 1
return res
import sys
input=sys.stdin.readline
N,M=map(int,input().split())
s=input()
dic={"A":[[0,i] for i in range(N)],"B":[[0,i] for i in range(N)]}
edge=[[] for i in range(N)]
for i in range(M):
a,b=map(int,input().split())
a-=1;b-=1
edge[a].append(b)
edge[b].append(a)
dic[s[a]][b][0]+=1
dic[s[b]][a][0]+=1
dic={moji:SegTree(dic[moji],segfunc,ide_ele) for moji in dic}
ban=set([])
while True:
a,index=dic["A"].query(0,N)
b,index2=dic["B"].query(0,N)
if a==0:
ban.add(index)
dic["A"].update(index,float("inf"))
dic["B"].update(index,float("inf"))
for v in edge[index]:
dic[s[index]].update(v,-1)
elif b==0:
ban.add(index2)
dic["A"].update(index2,float("inf"))
dic["B"].update(index2,float("inf"))
for v in edge[index2]:
dic[s[index2]].update(v,-1)
else:
break
check=set([i for i in range(N)])
if ban==check:
print("No")
else:
print("Yes")
```
No
| 92,478 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
"""
GC027 C
"""
n,m = map(int,input().split())
s = list(input())
edges = [tuple(map(int,input().split())) for i in range(m)]
abli = [[0,0] for i in range(n)]
def addEdge(graph,u,v):
graph[u].add(v)
def deleteNode(graph,node):
graph.pop(node,None)
from collections import defaultdict
graphAB = defaultdict(set)
graphABopp = defaultdict(set)
def incrementAB(node,adj):
if s[adj-1] == 'A':
abli[node-1][0]+=1
if s[adj-1] == 'B':
abli[node-1][1]+=1
def decrementAB(node,adj):
if s[adj-1] == 'A':
abli[node-1][0]-=1
if s[adj-1] == 'B':
abli[node-1][1]-=1
edgeset = set()
for i,j in edges:
ii = min(i,j)
jj = max(i,j)
edgeset.add((ii,jj))
for i,j in edgeset:
addEdge(graphAB,i,j)
addEdge(graphABopp,j,i)
incrementAB(i,j)
if j!=i:
incrementAB(j,i)
def adjAB(node):
if abli[node-1][0]!=0 and abli[node-1][1]!=0:
return(True)
else:
return(False)
#def adjAB(node):
# Aflag = 'A' in map(lambda x:s[x-1],graphAB[node])
# Aflag = Aflag or 'A' in map(lambda x:s[x-1],graphABopp[node])
# Bflag = 'B' in map(lambda x:s[x-1],graphAB[node])
# Bflag = Bflag or 'B' in map(lambda x:s[x-1],graphABopp[node])
# if Aflag and Bflag:
# return(True)
# else:
# return(False)
visitset = set([i for i in set(graphAB.keys())|set(graphABopp.keys()) if not adjAB(i)])
#print(visitset)
while bool(visitset):
#print(graphAB)
#print(graphABopp)
#print(abli)
i = visitset.pop()
for j in graphAB[i]:
if not adjAB(j):
graphABopp[j].remove(i)
decrementAB(j,i)
else:
graphABopp[j].remove(i)
decrementAB(j,i)
if not adjAB(j):
visitset.add(j)
#print(visitset,'add')
for j in graphABopp[i]:
if not adjAB(j):
graphAB[j].remove(i)
decrementAB(j,i)
else:
graphAB[j].remove(i)
decrementAB(j,i)
if not adjAB(j):
visitset.add(j)
#print(visitset,'add')
graphAB.pop(i,None)
graphABopp.pop(i,None)
#print(graphAB)
#print(graphABopp)
if graphAB == {} and graphABopp == {}:
print('No')
else:
print('Yes')
```
No
| 92,479 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an undirected graph consisting of N vertices and M edges. The vertices are numbered 1 to N, and the edges are numbered 1 to M. In addition, each vertex has a label, `A` or `B`. The label of Vertex i is s_i. Edge i bidirectionally connects vertex a_i and b_i.
The phantom thief Nusook likes to choose some vertex as the startpoint and traverse an edge zero or more times. Today, he will make a string after traveling as above, by placing the labels of the visited vertices in the order visited, beginning from the startpoint.
For example, in a graph where Vertex 1 has the label `A` and Vertex 2 has the label `B`, if Nusook travels along the path 1 \rightarrow 2 \rightarrow 1 \rightarrow 2 \rightarrow 2, the resulting string is `ABABB`.
Determine if Nusook can make all strings consisting of `A` and `B`.
Constraints
* 2 \leq N \leq 2 \times 10^{5}
* 1 \leq M \leq 2 \times 10^{5}
* |s| = N
* s_i is `A` or `B`.
* 1 \leq a_i, b_i \leq N
* The given graph may NOT be simple or connected.
Input
Input is given from Standard Input in the following format:
N M
s
a_1 b_1
:
a_{M} b_{M}
Output
If Nusook can make all strings consisting of `A` and `B`, print `Yes`; otherwise, print `No`.
Examples
Input
2 3
AB
1 1
1 2
2 2
Output
Yes
Input
4 3
ABAB
1 2
2 3
3 1
Output
No
Input
13 23
ABAAAABBBBAAB
7 1
10 6
1 11
2 10
2 8
2 11
11 12
8 3
7 12
11 2
13 13
11 9
4 1
9 7
9 6
8 13
8 6
4 10
8 7
4 3
2 1
8 12
6 9
Output
Yes
Input
13 17
BBABBBAABABBA
7 1
7 9
11 12
3 9
11 9
2 1
11 5
12 11
10 8
1 11
1 8
7 7
9 10
8 8
8 12
6 2
13 11
Output
No
Submitted Solution:
```
from collections import deque
N,M=map(int,input().split())
s=input()
H=[[] for i in range(N)]
G=[[] for i in range(2*N)]
for i in range(M):
a,b=map(int,input().split())
a-=1
b-=1
H[a].append(b)
H[b].append(a)
if s[a]=="A":
if s[b]=="A":
G[a].append(N+b)
G[b].append(N+a)
else:
G[a+N].append(b+N)
G[b].append(a)
else:
if s[b]=="A":
G[a].append(b)
G[N+b].append(N+a)
else:
G[N+a].append(b)
G[N+b].append(a)
K=[0 for i in range(2*N)]
for i in range(2*N):
for p in G[i]:
K[p]+=1
q=deque(i for i in range(2*N) if K[i]==0)
res=[]
while q:
v1=q.popleft()
res.append(v1)
for v2 in G[v1]:
K[v2]-=1
if K[v2]==0:
q.append(v2)
if len(res)==2*N:
print("Yes")
else:
print("No")
```
No
| 92,480 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
N = int(input())
R = [list(map(int,input().split())) for n in range(N)]
B = [list(map(int,input().split())) for n in range(N)]
R.sort(key=lambda x:-x[1])
B.sort()
ans=0
for c,d in B:
for a,b in R:
if a<c and b<d:
ans+=1
R.remove([a,b])
break
print(ans)
```
| 92,481 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
n = int(input())
Red = [list(map(int,input().split())) for i in range(n)]
Blue = [list(map(int,input().split())) for i in range(n)]
Red.sort(key=lambda x:x[1], reverse=True)
Blue.sort()
cnt = 0
for b in Blue:
for r in Red:
if b[0] > r[0] and b[1] > r[1] :
cnt += 1
r[0] = 10**9
r[1] = 10**9
break
print(cnt)
```
| 92,482 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
N=int(input())
AB=sorted([list(map(int,input().split())) for _ in range(N)])
CD=sorted([list(map(int,input().split())) for _ in range(N)], key=lambda x:x[1])
cnt=0
for a,b in AB[::-1]:
for i,j in enumerate(CD):
c,d=j
if a<c and b<d:
cnt +=1
del CD[i]
break
print(cnt)
```
| 92,483 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
n = int(input())
red = []
for i in range(n):
red.append([int(j) for j in input().split()])
red.sort(key=lambda x : x[1], reverse=True)
blue = []
for i in range(n):
blue.append([int(j) for j in input().split()])
blue.sort()
count = 0
for b in blue:
for r in red:
if r[0] < b[0] and r[1] < b[1]:
count += 1
red.remove(r)
break
print(count)
```
| 92,484 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
N = int(input())
A = [list(map(int,input().split())) for l in range(N)]
B = [list(map(int,input().split())) for l in range(N)]
A.sort()
B.sort()
for i in range(N):
a = -5
b = -1
for j in range(len(A)):
if A[j][0]<B[i][0] and A[j][1]<B[i][1]:
if a<A[j][1]:
a = A[j][1]
b = j
if b!=-1:
del A[b]
print(N-len(A))
```
| 92,485 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
from operator import itemgetter
N = int(input())
A = [tuple(map(int,input().split())) for i in range(N)]
B = [tuple(map(int,input().split())) for i in range(N)]
A.sort()
B.sort()
num = 0
for i in range(N):
K = [A[k] for k in range(len(A)) if (A[k][0] <B[i][0]) and (A[k][1] < B[i][1])]
if K:
num += 1
t = sorted(K, key=itemgetter(1))[-1]
A.remove(t)
print(num)
```
| 92,486 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
N = int(input())
red = [list(map(int, input().split())) for i in range(N)]
blue = [list(map(int, input().split())) for i in range(N)]
a = [0] * N
for x,y in sorted(blue,key=lambda x: x[0]):
k = []
for i,[x2,y2] in enumerate(red):
if x2 < x and y2 < y and not a[i]:
k.append((x2,y2,i))
if len(k):
x,y,i=sorted(k,key=lambda x:-1*x[1])[0]
a[i] = 1
print(sum(a))
```
| 92,487 |
Provide a correct Python 3 solution for this coding contest problem.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
"Correct Solution:
```
N = int(input())
reds = sorted([tuple(map(int, input().split())) for _ in range(N)], reverse=True, key=lambda x: x[1])
blues = sorted([tuple(map(int, input().split())) for _ in range(N)])
# print(reds)
# print(blues)
ans = 0
for b in blues:
for r in reds:
if r[0] < b[0] and r[1] < b[1]:
ans += 1
reds.remove(r)
break
print(ans)
```
| 92,488 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
n = int(input())
s = [list(map(int, input().split())) for _ in range(n)]
t = [list(map(int, input().split()))+[1] for _ in range(n)]
ss = sorted(s, key=lambda x:x[1], reverse=True)
tt = sorted(t, key=lambda x:x[0])
cnt = 0
for i in range(n):
for j in range(n):
if ss[i][0] < tt[j][0] and ss[i][1] < tt[j][1] and tt[j][2] == 1:
cnt += 1
tt[j][2] -= 1
break
print(cnt)
```
Yes
| 92,489 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
N = int(input())
red = [list(map(int, input().split())) for i in range(N)]
blue = [list(map(int, input().split())) for i in range(N)]
red.sort(key=lambda x:x[1], reverse=True)
blue.sort()
c = 0
for bx, by in blue:
for i, (rx, ry) in enumerate(red):
if rx<bx and ry<by:
c += 1
red.pop(i)
break
print(c)
```
Yes
| 92,490 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
n=int(input())
ll = sorted([list(map(int, input().split())) for _ in range(n)], key=lambda x: -x[1])
mm=sorted([list(map(int,input().split())) for _ in range(n)])
count_num=0
for i,j in mm:
for k,h in ll:
if k<=i and h<=j:
count_num+=1
ll.remove([k,h])
break
print(count_num)
```
Yes
| 92,491 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
n = int(input())
reds = sorted([list(map(int,input().split())) for i in range(n)],key=lambda reds: -reds[1])
blues = sorted([list(map(int,input().split())) for i in range(n)])
res = 0
for c,d in blues:
for a,b in reds:
if a<c and b<d:
reds.remove([a,b])
res+=1
break
print(res)
```
Yes
| 92,492 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
N = int(input())
a = 0
x = []
y = []
for i in range(N):
s,t = map(int, input().split())
x.append([s*s+t*t,s,t])
for j in range(N):
u,v = map(int, input().split())
y.append([u*u+v*v,u,v])
x.reverse()
y.reverse()
for k in range(N):
for l in range(len(y)):
if x[k][1]<y[l][1] and x[k][2]<y[l][2]:
a += 1
y.pop(l)
break
print(a)
```
No
| 92,493 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
from itertools import permutations
N = int(input())
red = [list(map(int, input().split())) for _ in range(N)]
blue = [list(map(int, input().split())) for _ in range(N)]
def shuffle(l):
for i in permutations(l):
yield i
def judge(r, b):
cnt = 0
for i, j in zip(r, b):
if i[0] < j[0] and i[1] < j[1]:
cnt += 1
return cnt
print(max([judge(red, b) for b in shuffle(blue)]))
```
No
| 92,494 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
N=int(input())
red=sorted(list(map(int,input().split())) for i in range(N))
blue=sorted(list(map(int,input().split())) for i in range(N))
count=0
for i in red:
for n,j in enumerate(blue):
if i[0]<j[0] and i[1]<j[1]:
count+=1
del blue[n]
break
print(count)
```
No
| 92,495 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
On a two-dimensional plane, there are N red points and N blue points. The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).
A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.
At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.
Constraints
* All input values are integers.
* 1 \leq N \leq 100
* 0 \leq a_i, b_i, c_i, d_i < 2N
* a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.
* b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N
Output
Print the maximum number of friendly pairs.
Examples
Input
3
2 0
3 1
1 3
4 2
0 4
5 5
Output
2
Input
3
0 0
1 1
5 2
2 3
3 4
4 5
Output
2
Input
2
2 2
3 3
0 0
1 1
Output
0
Input
5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7
Output
5
Input
5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9
Output
4
Submitted Solution:
```
N = int(input())
r = []
for _ in range(N):
x,y = map(int, input().split())
r.append((-y,x))
b = []
for _ in range(N):
x,y = map(int, input().split())
b.append((y,x))
r.sort()
b.sort()
ans = 0
for my,x in r:
for j in range(len(b)):
if -my < b[j][0] and x < b[j][1]:
ans += 1
b.pop(j)
break
print(ans)
```
No
| 92,496 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three men, A, B and C, are eating sushi together. Initially, there are N pieces of sushi, numbered 1 through N. Here, N is a multiple of 3.
Each of the three has likes and dislikes in sushi. A's preference is represented by (a_1,\ ...,\ a_N), a permutation of integers from 1 to N. For each i (1 \leq i \leq N), A's i-th favorite sushi is Sushi a_i. Similarly, B's and C's preferences are represented by (b_1,\ ...,\ b_N) and (c_1,\ ...,\ c_N), permutations of integers from 1 to N.
The three repeats the following action until all pieces of sushi are consumed or a fight brakes out (described later):
* Each of the three A, B and C finds his most favorite piece of sushi among the remaining pieces. Let these pieces be Sushi x, y and z, respectively. If x, y and z are all different, A, B and C eats Sushi x, y and z, respectively. Otherwise, a fight brakes out.
You are given A's and B's preferences, (a_1,\ ...,\ a_N) and (b_1,\ ...,\ b_N). How many preferences of C, (c_1,\ ...,\ c_N), leads to all the pieces of sushi being consumed without a fight? Find the count modulo 10^9+7.
Constraints
* 3 \leq N \leq 399
* N is a multiple of 3.
* (a_1,\ ...,\ a_N) and (b_1,\ ...,\ b_N) are permutations of integers from 1 to N.
Input
Input is given from Standard Input in the following format:
N
a_1 ... a_N
b_1 ... b_N
Output
Print the number of the preferences of C that leads to all the pieces of sushi being consumed without a fight, modulo 10^9+7.
Examples
Input
3
1 2 3
2 3 1
Output
2
Input
3
1 2 3
1 2 3
Output
0
Input
6
1 2 3 4 5 6
2 1 4 3 6 5
Output
80
Input
6
1 2 3 4 5 6
6 5 4 3 2 1
Output
160
Input
9
4 5 6 7 8 9 1 2 3
7 8 9 1 2 3 4 5 6
Output
33600
Submitted Solution:
```
def solve(a, b, c):
if len(c) == 0:
return 1
else:
if a[0] == b[0]:
return 0
else:
c.remove(a[0])
b.remove(a[0])
a.remove(a[0])
c.remove(b[0])
a.remove(b[0])
b.remove(b[0])
ans = 0
for i in c:
ka = a.index(i)
kb = b.index(i)
kc = c.index(i)
ans += (len(c))*(len(c)+1)*solve(a[:ka]+a[ka+1:], b[:kb]+b[kb+1:], c[:kc]+c[kc+1:])
return ans
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
sol = solve(a, b, list(range(1, n+1)))
print(sol%1000000007)
```
No
| 92,497 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Three men, A, B and C, are eating sushi together. Initially, there are N pieces of sushi, numbered 1 through N. Here, N is a multiple of 3.
Each of the three has likes and dislikes in sushi. A's preference is represented by (a_1,\ ...,\ a_N), a permutation of integers from 1 to N. For each i (1 \leq i \leq N), A's i-th favorite sushi is Sushi a_i. Similarly, B's and C's preferences are represented by (b_1,\ ...,\ b_N) and (c_1,\ ...,\ c_N), permutations of integers from 1 to N.
The three repeats the following action until all pieces of sushi are consumed or a fight brakes out (described later):
* Each of the three A, B and C finds his most favorite piece of sushi among the remaining pieces. Let these pieces be Sushi x, y and z, respectively. If x, y and z are all different, A, B and C eats Sushi x, y and z, respectively. Otherwise, a fight brakes out.
You are given A's and B's preferences, (a_1,\ ...,\ a_N) and (b_1,\ ...,\ b_N). How many preferences of C, (c_1,\ ...,\ c_N), leads to all the pieces of sushi being consumed without a fight? Find the count modulo 10^9+7.
Constraints
* 3 \leq N \leq 399
* N is a multiple of 3.
* (a_1,\ ...,\ a_N) and (b_1,\ ...,\ b_N) are permutations of integers from 1 to N.
Input
Input is given from Standard Input in the following format:
N
a_1 ... a_N
b_1 ... b_N
Output
Print the number of the preferences of C that leads to all the pieces of sushi being consumed without a fight, modulo 10^9+7.
Examples
Input
3
1 2 3
2 3 1
Output
2
Input
3
1 2 3
1 2 3
Output
0
Input
6
1 2 3 4 5 6
2 1 4 3 6 5
Output
80
Input
6
1 2 3 4 5 6
6 5 4 3 2 1
Output
160
Input
9
4 5 6 7 8 9 1 2 3
7 8 9 1 2 3 4 5 6
Output
33600
Submitted Solution:
```
global dic
dic = {'':1}
def solve(a, b, c):
s = "".join(map(str, c))
if s in dic:
return dic[s]
else:
if len(c) == 0:
return 1
else:
if a[0] == b[0]:
dic[s] = 0
else:
c.remove(a[0])
b.remove(a[0])
a.remove(a[0])
c.remove(b[0])
a.remove(b[0])
b.remove(b[0])
ans = 0
for i in c:
ka = a.index(i)
kb = b.index(i)
kc = c.index(i)
ans += (len(c))*(len(c)+1)*solve(a[:ka]+a[ka+1:], b[:kb]+b[kb+1:], c[:kc]+c[kc+1:])
dic[s] = ans
return dic[s]
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
sol = solve(a, b, list(range(1, n+1)))
print(sol%1000000007)
```
No
| 92,498 |
Provide a correct Python 3 solution for this coding contest problem.
There is a tree with N vertices numbered 1 through N. The i-th of the N-1 edges connects vertices a_i and b_i.
Initially, each edge is painted blue. Takahashi will convert this blue tree into a red tree, by performing the following operation N-1 times:
* Select a simple path that consists of only blue edges, and remove one of those edges.
* Then, span a new red edge between the two endpoints of the selected path.
His objective is to obtain a tree that has a red edge connecting vertices c_i and d_i, for each i.
Determine whether this is achievable.
Constraints
* 2 ≤ N ≤ 10^5
* 1 ≤ a_i,b_i,c_i,d_i ≤ N
* a_i ≠ b_i
* c_i ≠ d_i
* Both input graphs are trees.
Input
Input is given from Standard Input in the following format:
N
a_1 b_1
:
a_{N-1} b_{N-1}
c_1 d_1
:
c_{N-1} d_{N-1}
Output
Print `YES` if the objective is achievable; print `NO` otherwise.
Examples
Input
3
1 2
2 3
1 3
3 2
Output
YES
Input
5
1 2
2 3
3 4
4 5
3 4
2 4
1 4
1 5
Output
YES
Input
6
1 2
3 5
4 6
1 6
5 1
5 3
1 4
2 6
4 3
5 6
Output
NO
"Correct Solution:
```
import queue
n,q=int(input()),queue.Queue()
s=[set() for i in range(n+1)]
for i in range(2*n-2):
u,v=map(int,input().split())
if v in s[u]:
q.put((u,v))
else:
s[u].add(v)
s[v].add(u)
f=[i for i in range(n+1)]
def find(x):
if f[x]==x:
return x
else:
f[x]=find(f[x])
return f[x]
while not q.empty():
u,v=map(find,q.get())
if u==v:
continue
if len(s[u])<len(s[v]):
u,v=v,u
s[u].remove(v)
s[v].remove(u)
for x in s[v]:
s[x].remove(v)
if u in s[x]:
q.put((u,x))
else:
s[u].add(x)
s[x].add(u)
s[v],f[v]=[],u
root=find(1)
for i in range(2,n+1):
if find(i)!=root:
print("NO")
break
else:
print("YES")
```
| 92,499 |
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