message stringlengths 2 44.5k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little X has n distinct integers: p1, p2, ..., pn. He wants to divide all of them into two sets A and B. The following two conditions must be satisfied:
* If number x belongs to set A, then number a - x must also belong to set A.
* If number x belongs to set B, then number b - x must also belong to set B.
Help Little X divide the numbers into two sets or determine that it's impossible.
Input
The first line contains three space-separated integers n, a, b (1 ≤ n ≤ 105; 1 ≤ a, b ≤ 109). The next line contains n space-separated distinct integers p1, p2, ..., pn (1 ≤ pi ≤ 109).
Output
If there is a way to divide the numbers into two sets, then print "YES" in the first line. Then print n integers: b1, b2, ..., bn (bi equals either 0, or 1), describing the division. If bi equals to 0, then pi belongs to set A, otherwise it belongs to set B.
If it's impossible, print "NO" (without the quotes).
Examples
Input
4 5 9
2 3 4 5
Output
YES
0 0 1 1
Input
3 3 4
1 2 4
Output
NO
Note
It's OK if all the numbers are in the same set, and the other one is empty.
Submitted Solution:
```
import sys
input = sys.stdin.readline
I = lambda : list(map(int,input().split()))
n,a,b=I()
l=I()
st=set(l)
an=[0]*n;ban=[1]*n
pos=1
for i in range(n):
pp=1
if (a-l[i]) in st:
ban[i]=0
pp=0
if (b-l[i]) in st:
an[i]=1
pp=0
if pp:
pos=0;break
if pos:
dic={}
for i in range(n):
dic[l[i]]=i
jk=0
for i in range(n):
if an[i]==0 and an[dic[a-l[i]]]!=0:
jk=1;break
print("YES")
if jk:
print(*ban)
else:
print(*an)
else:
print("NO")
``` | instruction | 0 | 6,191 | 5 | 12,382 |
No | output | 1 | 6,191 | 5 | 12,383 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,429 | 5 | 12,858 |
"Correct Solution:
```
N, A, B = map(int, input().split())
M = min(A, B)
m = max(0, (A + B) - N)
print(M, m)
``` | output | 1 | 6,429 | 5 | 12,859 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,430 | 5 | 12,860 |
"Correct Solution:
```
n,a,b=map(int,input().split());t=min(a,b);print(t,max(max(a,b)-n+t,0))
``` | output | 1 | 6,430 | 5 | 12,861 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,431 | 5 | 12,862 |
"Correct Solution:
```
n, a, b = map(int, input().split())
print(min(a, b), max((min(a, b) - (n - max(a, b)), 0)))
``` | output | 1 | 6,431 | 5 | 12,863 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,432 | 5 | 12,864 |
"Correct Solution:
```
N, A, B = map(int, input().split(" "))
print(min(A, B), max(0, A + B - N))
``` | output | 1 | 6,432 | 5 | 12,865 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,433 | 5 | 12,866 |
"Correct Solution:
```
n,a,b = map(int,input().split())
ma = min(a,b)
mi = max(ma - (n - max(a,b)), 0)
print(ma,mi)
``` | output | 1 | 6,433 | 5 | 12,867 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,434 | 5 | 12,868 |
"Correct Solution:
```
N, A, B = map(int, input().split())
print(min(A, B), (A + B - N if A + B > N else 0))
``` | output | 1 | 6,434 | 5 | 12,869 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,435 | 5 | 12,870 |
"Correct Solution:
```
n, a, b = map(int, input().split())
M = min(a, b)
m = max(0, a+b-n)
print(M, m)
``` | output | 1 | 6,435 | 5 | 12,871 |
Provide a correct Python 3 solution for this coding contest problem.
We conducted a survey on newspaper subscriptions. More specifically, we asked each of the N respondents the following two questions:
* Question 1: Are you subscribing to Newspaper X?
* Question 2: Are you subscribing to Newspaper Y?
As the result, A respondents answered "yes" to Question 1, and B respondents answered "yes" to Question 2.
What are the maximum possible number and the minimum possible number of respondents subscribing to both newspapers X and Y?
Write a program to answer this question.
Constraints
* 1 \leq N \leq 100
* 0 \leq A \leq N
* 0 \leq B \leq N
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N A B
Output
Print the maximum possible number and the minimum possible number of respondents subscribing to both newspapers, in this order, with a space in between.
Examples
Input
10 3 5
Output
3 0
Input
10 7 5
Output
5 2
Input
100 100 100
Output
100 100 | instruction | 0 | 6,436 | 5 | 12,872 |
"Correct Solution:
```
N, A, B = map(int, input().split())
print(min(A, B), max(B-(N-A), 0))
``` | output | 1 | 6,436 | 5 | 12,873 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,461 | 5 | 12,922 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
S=sum(b)-sum(a)
if S<0:print("No")
else:
cnt=0
for i in range(n):
cnt+=max((b[i]-a[i]+1)//2,0)
if cnt<=S:print('Yes')
else:print("No")
``` | output | 1 | 6,461 | 5 | 12,923 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,462 | 5 | 12,924 |
"Correct Solution:
```
n=int(input())
a=[int(j) for j in input().split()]
b=[int(j) for j in input().split()]
tmp=0
if tmp<0:
print("No")
exit()
for i,j in zip(a,b):
if i>j:
tmp+=j-i
elif i<j:
tmp+=(j-i)//2
if tmp>=0:
print("Yes")
else:
print("No")
``` | output | 1 | 6,462 | 5 | 12,925 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,463 | 5 | 12,926 |
"Correct Solution:
```
N = int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
plus=0;minus=0;co=0
for i in range(N):
c=a[i]-b[i]
if c < 0:
minus-=c
if c%2==1:
co+=1
elif c > 0:
plus+=c
print("Yes" if minus >= plus*2+co else "No")
``` | output | 1 | 6,463 | 5 | 12,927 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,464 | 5 | 12,928 |
"Correct Solution:
```
N=int(input())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
A_sum=0
for i in range(N):
if A[i]>B[i]:
A_sum+=A[i]-B[i]
elif A[i]<B[i]:
A_sum-=(B[i]-A[i])//2
if A_sum<=0:
print("Yes")
else:
print("No")
``` | output | 1 | 6,464 | 5 | 12,929 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,465 | 5 | 12,930 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
count=0
for i in range(n):
if a[i]<=b[i]:
s=(b[i]-a[i])//2
count+=s
else:
s=a[i]-b[i]
count-=s
if count>=0:
print("Yes")
else:
print("No")
``` | output | 1 | 6,465 | 5 | 12,931 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,466 | 5 | 12,932 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
cnt=sum(b)-sum(a)
for i,j in zip(a,b):
if i<j:cnt-=(j-i+1)//2
print(['No','Yes'][cnt>=0])
``` | output | 1 | 6,466 | 5 | 12,933 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,467 | 5 | 12,934 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
plus_2 = 0
minus = 0
for a, b in zip(A, B):
if a < b:
plus_2 += (b-a)//2
else:
minus += a-b
if plus_2 >= minus:
print('Yes')
else:
print('No')
``` | output | 1 | 6,467 | 5 | 12,935 |
Provide a correct Python 3 solution for this coding contest problem.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No | instruction | 0 | 6,468 | 5 | 12,936 |
"Correct Solution:
```
n, *p = map(int, open(0).read().split())
s = sum(j - i - max(0, i - j) - max(0, j - i)%2 for i, j in zip(p, p[n:]))
print("Yes" if s >= 0 == s%2 else "No")
``` | output | 1 | 6,468 | 5 | 12,937 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
tot = 0
for i in range(0, n):
if a[i] < b[i]:
tot += (b[i] - a[i]) // 2
else:
tot -= a[i] - b[i]
print ("Yes" if tot >= 0 else "No")
``` | instruction | 0 | 6,469 | 5 | 12,938 |
Yes | output | 1 | 6,469 | 5 | 12,939 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
n=int(input())
*A,=map(int,input().split())
*B,=map(int,input().split())
print("Yes" if sum(B)-sum(A) >= sum(max((a+b)%2,a-b) for a,b in zip(A,B)) else "No")
``` | instruction | 0 | 6,470 | 5 | 12,940 |
Yes | output | 1 | 6,470 | 5 | 12,941 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
b=list(map(int,input().split()))
p=0
for i in range(n):
if a[i]<b[i]:
p+=(b[i]-a[i])//2
elif b[i]<a[i]:
p-=(a[i]-b[i])
if p>=0:
print('Yes')
else:
print('No')
``` | instruction | 0 | 6,471 | 5 | 12,942 |
Yes | output | 1 | 6,471 | 5 | 12,943 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
n = int(input())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
c = 0
for a,b in zip(A,B):
c += min((b-a)//2, b-a)
print('Yes' if c>=0 else 'No')
``` | instruction | 0 | 6,472 | 5 | 12,944 |
Yes | output | 1 | 6,472 | 5 | 12,945 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
N = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
n = sum(b) - sum(a)
c = 0
for i in range(N):
if a[i] > b[i]:
c += a[i] - b[i]
elif a[i] < b[i]:
c += (b[i] - a[i] + 2 - 1) // 2
print('Yes' if n >= 0 and c <= n else 'No')
``` | instruction | 0 | 6,473 | 5 | 12,946 |
No | output | 1 | 6,473 | 5 | 12,947 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
n = int(input())
A = list(map(int,input().split()))
B = list(map(int,input().split()))
x = sum(B) - sum(A)
cnt1 = 0
cnt2 = 0
for i in range(n):
if A[i] > B[i]:
cnt1 += (A[i] - B[i])
else:
cnt2 += (B[i] - A[i])//2
if min(cnt1, cnt2) <= x:
print('Yes')
else:
print('No')
``` | instruction | 0 | 6,474 | 5 | 12,948 |
No | output | 1 | 6,474 | 5 | 12,949 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
N = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
biggerA, biggerB = 0, 0
for i in range(N):
if A[i] > B[i]:
biggerA += A[i] - B[i]
elif A[i] < B[i]:
biggerB += B[i] - A[i]
if biggerA * 2 <= biggerB:
print('Yes')
else:
print('No')
``` | instruction | 0 | 6,475 | 5 | 12,950 |
No | output | 1 | 6,475 | 5 | 12,951 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integer sequences of length N: a_1,a_2,..,a_N and b_1,b_2,..,b_N. Determine if we can repeat the following operation zero or more times so that the sequences a and b become equal.
Operation: Choose two integers i and j (possibly the same) between 1 and N (inclusive), then perform the following two actions simultaneously:
* Add 2 to a_i.
* Add 1 to b_j.
Constraints
* 1 ≤ N ≤ 10 000
* 0 ≤ a_i,b_i ≤ 10^9 (1 ≤ i ≤ N)
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 .. a_N
b_1 b_2 .. b_N
Output
If we can repeat the operation zero or more times so that the sequences a and b become equal, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 2 3
5 2 2
Output
Yes
Input
5
3 1 4 1 5
2 7 1 8 2
Output
No
Input
5
2 7 1 8 2
3 1 4 1 5
Output
No
Submitted Solution:
```
N = int(input())
a = list(map(int,input().split()))
b = list(map(int,input().split()))
flag = "Yes"
for i in range(N):
A_max = max(a)
B_max = max(b)
if A_max > B_max:
flag = "No"
else:
del a[a.index(A_max)]
del b[b.index(B_max)]
print(flag)
``` | instruction | 0 | 6,476 | 5 | 12,952 |
No | output | 1 | 6,476 | 5 | 12,953 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
2 2 2 1
0 0 0
Output
24 | instruction | 0 | 6,537 | 5 | 13,074 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 10**9+7
dd = [(-1,0),(0,1),(1,0),(0,-1)]
ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)]
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def main():
a,b,c,n = LI()
aa = [LI() for _ in range(n)]
r = (a*b+b*c+c*a) * 2
for d,e,f in aa:
r += 6
if d == 0:
r -= 2
if e == 0:
r -= 2
if f == 0:
r -= 2
if d == a-1:
r -= 2
if e == b-1:
r -= 2
if f == c-1:
r -= 2
def k(a,b):
return sum(map(lambda x: abs(a[x]-b[x]), range(3)))
for i in range(n):
ai = aa[i]
for j in range(i+1,n):
if k(ai, aa[j]) == 1:
r -= 2
return r
print(main())
``` | output | 1 | 6,537 | 5 | 13,075 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
2 2 2 1
0 0 0
Output
24 | instruction | 0 | 6,538 | 5 | 13,076 |
"Correct Solution:
```
a,b,c,n=map(int,input().split())
x=[0]*n;y=[0]*n;z=[0]*n;s=0
for i in range(n):
x[i],y[i],z[i]=map(int,input().split())
s+=(x[i]==a-1)+(y[i]==b-1)+(z[i]==c-1)+(x[i]==0)+(y[i]==0)+(z[i]==0)
for i in range(n):
for j in range(i+1,n):s+=((abs(x[i]-x[j])+abs(y[i]-y[j])+abs(z[i]-z[j]))==1)
print(2*((a*b+b*c+c*a)+3*n-s))
``` | output | 1 | 6,538 | 5 | 13,077 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
2 2 2 1
0 0 0
Output
24 | instruction | 0 | 6,539 | 5 | 13,078 |
"Correct Solution:
```
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS():return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = I()
return l
def LIR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = LI()
return l
def SR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = S()
return l
def LSR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = LS()
return l
sys.setrecursionlimit(1000000)
mod = 1000000007
#A
def A():
s = S()
n = len(s)
d = [-1 for i in range(n)]
k = 0
m = 0
for i in range(n):
if s[i] == "[":
k += 1
elif s[i] == "]":
k -= 1
elif s[i] == "-":
d[i] = k
else:
m += 1
depth = max(d)
f = defaultdict(int)
for i in range(m):
a,b = input().split()
f[a] = int(b)
for i in range(1,depth+1)[::-1]:
j = 0
while j < len(s):
if d[j] == i:
if f[s[j-1]] == 0:
if f[s[j+1]] == 0:
print("No")
quit()
else:
w = s[j+1]
else:
if f[s[j+1]] != 0:
print("No")
quit()
else:
w = s[j-1]
f[w] -= 1
d = d[:j-2]+[None]+d[j+3:]
s = s[:j-2]+[w]+s[j+3:]
j -= 2
j += 1
if f[s[0]] == 0:
print("Yes")
else:
print("No")
return
#B
def B():
n,k = LI()
s = S()
t = S()
q = deque()
ans = 0
for i in range(n):
if s[i] == "B" and t[i] == "W":
if q:
x = q.popleft()
if i-x >= k:
ans += 1
while q:
q.popleft()
q.append(i)
if q:
ans += 1
for i in range(n):
if s[i] == "W" and t[i] == "B":
if q:
x = q.popleft()
if i-x >= k:
ans += 1
while q:
q.popleft()
q.append(i)
if q:
ans += 1
print(ans)
return
#C
def C():
n = I()
s = SR(n)
t = S()
return
#D
def D():
return
#E
def E():
def surface(x,y,z):
return ((x == 0)|(x == a-1))+((y == 0)|(y == b-1))+((z == 0)|(z == c-1))+k
d = [(1,0,0),(-1,0,0),(0,1,0),(0,-1,0),(0,0,1),(0,0,-1)]
a,b,c,n = LI()
s = [0 for i in range(7)]
k = (a==1)+(b==1)+(c==1)
if k == 0:
s[1] = 2*(max(0,a-2)*max(0,b-2)+max(0,c-2)*max(0,b-2)+max(0,a-2)*max(0,c-2))
s[2] = 4*(max(0,a-2)+max(0,b-2)+max(0,c-2))
s[3] = 8
elif k == 1:
s[2] = max(0,a-2)*max(0,b-2)+max(0,c-2)*max(0,b-2)+max(0,a-2)*max(0,c-2)
s[3] = 2*(max(0,a-2)+max(0,b-2)+max(0,c-2))
s[4] = 4
elif k == 2:
s[4] = max(0,a-2)+max(0,b-2)+max(0,c-2)
s[5] = 2
else:
s[6] = 1
f = defaultdict(int)
for i in range(n):
x,y,z = LI()
s[surface(x,y,z)] -= 1
f[(x,y,z)] = -1
for dx,dy,dz in d:
if f[(x+dx,y+dy,z+dz)] != -1:
f[(x+dx,y+dy,z+dz)] += 1
ans = 0
for i,j in f.items():
if j != -1:
x,y,z = i
if 0 <= x < a and 0 <= y < b and 0 <= z < c:
ans += j+surface(x,y,z)
s[surface(x,y,z)] -= 1
for i in range(1,7):
ans += i*s[i]
print(ans)
return
#F
def F():
return
#G
def G():
return
#H
def H():
return
#I
def I_():
return
#J
def J():
return
#Solve
if __name__ == "__main__":
E()
``` | output | 1 | 6,539 | 5 | 13,079 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,556 | 5 | 13,112 |
"Correct Solution:
```
a, b, c = map(int, input().split())
ans = 'Yes' if a < b and b < c else 'No'
print(ans)
``` | output | 1 | 6,556 | 5 | 13,113 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,557 | 5 | 13,114 |
"Correct Solution:
```
a,b,c = map(int, input().strip().split(' '))
print('Yes' if a < b < c else 'No')
``` | output | 1 | 6,557 | 5 | 13,115 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,558 | 5 | 13,116 |
"Correct Solution:
```
A,B,C = map(int,input().split())
if A < B and B < C:
print("Yes")
else:
print("No")
``` | output | 1 | 6,558 | 5 | 13,117 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,559 | 5 | 13,118 |
"Correct Solution:
```
a,b,c,=map(int,input().split())
if a < b and b < c :
print("Yes")
else:
print("No")
``` | output | 1 | 6,559 | 5 | 13,119 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,560 | 5 | 13,120 |
"Correct Solution:
```
a, b, c = map(int, input().split(' '))
print('Yes') if a<b<c else print('No')
``` | output | 1 | 6,560 | 5 | 13,121 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,561 | 5 | 13,122 |
"Correct Solution:
```
i = input()
a,b,c = map(int,i.split())
if a < b < c:
print('Yes')
else:
print('No')
``` | output | 1 | 6,561 | 5 | 13,123 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,562 | 5 | 13,124 |
"Correct Solution:
```
l =input()
a, b, c = map(int, l.split())
if a<b<c:
print("Yes")
else:
print("No")
``` | output | 1 | 6,562 | 5 | 13,125 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No | instruction | 0 | 6,563 | 5 | 13,126 |
"Correct Solution:
```
a, b, c = map(int, input().split())
if ((a<b) & (b<c)):
print('Yes')
else:
print('No')
``` | output | 1 | 6,563 | 5 | 13,127 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
a, b, c = [int(_) for _ in input().split()]
print('Yes' if a < b < c else 'No')
``` | instruction | 0 | 6,564 | 5 | 13,128 |
Yes | output | 1 | 6,564 | 5 | 13,129 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
l=input()
a,b,c = map(int, l.split())
if (a < b < c):
print("Yes")
else:
print("No")
``` | instruction | 0 | 6,565 | 5 | 13,130 |
Yes | output | 1 | 6,565 | 5 | 13,131 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
a, b,c = list(map(int, input().split()))
if a<b<c:
print("Yes")
else:
print('No')
``` | instruction | 0 | 6,566 | 5 | 13,132 |
Yes | output | 1 | 6,566 | 5 | 13,133 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
N = list(map(int, input().split(' ')))
if N[0] < N[1] < N[2]:
print('Yes')
else:
print('No')
``` | instruction | 0 | 6,567 | 5 | 13,134 |
Yes | output | 1 | 6,567 | 5 | 13,135 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
a = int(input())
b = int(input())
c = int(input())
if a < b < c:
print("Yes")
elif a > b > c:
print("No")
``` | instruction | 0 | 6,568 | 5 | 13,136 |
No | output | 1 | 6,568 | 5 | 13,137 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
# -*- coding: UTF-8 -*-
a, b, c = map(int, raw_input().split())
if a<b<c:
print "Yes"
else:
print "No"
``` | instruction | 0 | 6,569 | 5 | 13,138 |
No | output | 1 | 6,569 | 5 | 13,139 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
array = input().split()
if int(array[0]) > int(array[1]) and int(array[1]) > int(array[2]):
print("Yes")
else:
print("No")
``` | instruction | 0 | 6,570 | 5 | 13,140 |
No | output | 1 | 6,570 | 5 | 13,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads three integers a, b and c, and prints "Yes" if a < b < c, otherwise "No".
Constraints
* 0 ≤ a, b, c ≤ 100
Input
Three integers a, b and c separated by a single space are given in a line.
Output
Print "Yes" or "No" in a line.
Examples
Input
1 3 8
Output
Yes
Input
3 8 1
Output
No
Submitted Solution:
```
# coding: utf-8
data = input()
data = list(map(int,data.split(" ")))
if data[0] < data[1]:
if data[1] < data[2]:
print("Yes")
else:
print("No")
``` | instruction | 0 | 6,571 | 5 | 13,142 |
No | output | 1 | 6,571 | 5 | 13,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between problems C1 and C2 is that all values in input of problem C1 are distinct (this condition may be false for problem C2).
You are given a sequence a consisting of n integers.
You are making a sequence of moves. During each move you must take either the leftmost element of the sequence or the rightmost element of the sequence, write it down and remove it from the sequence. Your task is to write down a strictly increasing sequence, and among all such sequences you should take the longest (the length of the sequence is the number of elements in it).
For example, for the sequence [1, 2, 4, 3, 2] the answer is 4 (you take 1 and the sequence becomes [2, 4, 3, 2], then you take the rightmost element 2 and the sequence becomes [2, 4, 3], then you take 3 and the sequence becomes [2, 4] and then you take 4 and the sequence becomes [2], the obtained increasing sequence is [1, 2, 3, 4]).
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 2 ⋅ 10^5), where a_i is the i-th element of a.
Output
In the first line of the output print k — the maximum number of elements in a strictly increasing sequence you can obtain.
In the second line print a string s of length k, where the j-th character of this string s_j should be 'L' if you take the leftmost element during the j-th move and 'R' otherwise. If there are multiple answers, you can print any.
Examples
Input
5
1 2 4 3 2
Output
4
LRRR
Input
7
1 3 5 6 5 4 2
Output
6
LRLRRR
Input
3
2 2 2
Output
1
R
Input
4
1 2 4 3
Output
4
LLRR
Note
The first example is described in the problem statement.
Submitted Solution:
```
n = int(input())
num = list(map(int,input().split()))
c = -1
t=''
l=0
r=n-1
tl=''
tr=''
while(l<=r):
maxA = max(num[l],num[r],c)
if maxA == c:
break
highVlaue = max(num[l],num[r])
next = max(min(num[l],num[r]),c)
# print('NEXt:',next,'C:',c,'l',l,'r',r)
if num[l]==num[r] and l!=r:
c1=c
c2 =c
tl = t
tr = t
for i in range(l,r):
if num[i]>c1:
tl+='L'
c1=num[i]
else:
break
for i in range(r,l,-1):
if num[i]>c2:
tr+='R'
c2=num[i]
else:break
break
if next == c:
if num[l] == highVlaue:
t+='L'
l+=1
else:
t+='R'
r-=1
c = highVlaue
else:
if num[l] == next:
t+='L'
l+=1
c=next
else:
t+='R'
c = next
r-=1
arr = [[len(t),t],[len(tl),tl],[len(tr),tr]]
arr.sort()
print(arr[-1][0])
print(arr[-1][1])
``` | instruction | 0 | 6,636 | 5 | 13,272 |
Yes | output | 1 | 6,636 | 5 | 13,273 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between problems C1 and C2 is that all values in input of problem C1 are distinct (this condition may be false for problem C2).
You are given a sequence a consisting of n integers.
You are making a sequence of moves. During each move you must take either the leftmost element of the sequence or the rightmost element of the sequence, write it down and remove it from the sequence. Your task is to write down a strictly increasing sequence, and among all such sequences you should take the longest (the length of the sequence is the number of elements in it).
For example, for the sequence [1, 2, 4, 3, 2] the answer is 4 (you take 1 and the sequence becomes [2, 4, 3, 2], then you take the rightmost element 2 and the sequence becomes [2, 4, 3], then you take 3 and the sequence becomes [2, 4] and then you take 4 and the sequence becomes [2], the obtained increasing sequence is [1, 2, 3, 4]).
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 2 ⋅ 10^5), where a_i is the i-th element of a.
Output
In the first line of the output print k — the maximum number of elements in a strictly increasing sequence you can obtain.
In the second line print a string s of length k, where the j-th character of this string s_j should be 'L' if you take the leftmost element during the j-th move and 'R' otherwise. If there are multiple answers, you can print any.
Examples
Input
5
1 2 4 3 2
Output
4
LRRR
Input
7
1 3 5 6 5 4 2
Output
6
LRLRRR
Input
3
2 2 2
Output
1
R
Input
4
1 2 4 3
Output
4
LLRR
Note
The first example is described in the problem statement.
Submitted Solution:
```
def solve(p, q, r):
ans = ""
current = r
i = p
j = q
while True:
if j < i:
break
if current < num[i] < num[j] or num[j] <= current < num[i]:
ans += "L"
current = num[i]
i += 1
continue
if current < num[j] < num[i] or num[i] <= current < num[j]:
ans += "R"
current = num[j]
j -= 1
continue
if current < num[i] == num[j]:
ans1 = solve(i, j - 1, num[i])
ans2 = solve(i + 1, j, num[i])
if len(ans1) > len(ans2):
ans += "R" + ans1
else:
ans += "L" + ans2
break
return ans
n = int(input())
num = [*map(int, input().split())]
ans = solve(0, n - 1, -1)
print(len(ans))
print(ans)
``` | instruction | 0 | 6,638 | 5 | 13,276 |
Yes | output | 1 | 6,638 | 5 | 13,277 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between problems C1 and C2 is that all values in input of problem C1 are distinct (this condition may be false for problem C2).
You are given a sequence a consisting of n integers.
You are making a sequence of moves. During each move you must take either the leftmost element of the sequence or the rightmost element of the sequence, write it down and remove it from the sequence. Your task is to write down a strictly increasing sequence, and among all such sequences you should take the longest (the length of the sequence is the number of elements in it).
For example, for the sequence [1, 2, 4, 3, 2] the answer is 4 (you take 1 and the sequence becomes [2, 4, 3, 2], then you take the rightmost element 2 and the sequence becomes [2, 4, 3], then you take 3 and the sequence becomes [2, 4] and then you take 4 and the sequence becomes [2], the obtained increasing sequence is [1, 2, 3, 4]).
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 2 ⋅ 10^5), where a_i is the i-th element of a.
Output
In the first line of the output print k — the maximum number of elements in a strictly increasing sequence you can obtain.
In the second line print a string s of length k, where the j-th character of this string s_j should be 'L' if you take the leftmost element during the j-th move and 'R' otherwise. If there are multiple answers, you can print any.
Examples
Input
5
1 2 4 3 2
Output
4
LRRR
Input
7
1 3 5 6 5 4 2
Output
6
LRLRRR
Input
3
2 2 2
Output
1
R
Input
4
1 2 4 3
Output
4
LLRR
Note
The first example is described in the problem statement.
Submitted Solution:
```
n=int(input())
l=list(map(int,input().split()))
inn=0
ex=n-1
pr=0
su=0
ll=""
lol=0
while inn<=ex:
#print(l[inn],l[ex])
if(inn==ex):
if(l[inn]>pr):
ll+="L"
su+=1
break
if(l[inn]<=pr and l[ex]<=pr):
break
if(l[inn]>pr and l[ex]>pr and l[inn]==l[ex]):
lol=1
j=inn
k=ex
s1=""
cou1=0
s2=""
cou2=0
pr1=pr
pr2=pr
while (j<ex and l[j]>pr1):
pr1=l[j]
cou1+=1
s1+="L"
j+=1
while (k>inn and l[k]>pr2):
pr2=l[k]
cou2+=1
s2+="R"
k-=1
break
if(l[inn]>pr and l[ex]<=pr):
su+=1
ll+=("L")
pr=l[inn]
inn+=1
elif(l[inn]<=pr and l[ex]>pr):
su+=1
ll+=("R")
pr=l[ex]
ex-=1
elif(l[inn]>pr and l[ex]>pr):
if(l[inn]>l[ex]):
su+=1
pr=l[ex]
ex-=1
ll+=("R")
elif(l[inn]<l[ex]):
su+=1
pr=l[inn]
ll+=("L")
inn+=1
if(lol==1):
if(cou1>=cou2):
su+=cou1
ll+=s1
else:
su+=cou2
ll+=s2
print(su)
print(ll)
``` | instruction | 0 | 6,639 | 5 | 13,278 |
Yes | output | 1 | 6,639 | 5 | 13,279 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between problems C1 and C2 is that all values in input of problem C1 are distinct (this condition may be false for problem C2).
You are given a sequence a consisting of n integers.
You are making a sequence of moves. During each move you must take either the leftmost element of the sequence or the rightmost element of the sequence, write it down and remove it from the sequence. Your task is to write down a strictly increasing sequence, and among all such sequences you should take the longest (the length of the sequence is the number of elements in it).
For example, for the sequence [1, 2, 4, 3, 2] the answer is 4 (you take 1 and the sequence becomes [2, 4, 3, 2], then you take the rightmost element 2 and the sequence becomes [2, 4, 3], then you take 3 and the sequence becomes [2, 4] and then you take 4 and the sequence becomes [2], the obtained increasing sequence is [1, 2, 3, 4]).
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 2 ⋅ 10^5), where a_i is the i-th element of a.
Output
In the first line of the output print k — the maximum number of elements in a strictly increasing sequence you can obtain.
In the second line print a string s of length k, where the j-th character of this string s_j should be 'L' if you take the leftmost element during the j-th move and 'R' otherwise. If there are multiple answers, you can print any.
Examples
Input
5
1 2 4 3 2
Output
4
LRRR
Input
7
1 3 5 6 5 4 2
Output
6
LRLRRR
Input
3
2 2 2
Output
1
R
Input
4
1 2 4 3
Output
4
LLRR
Note
The first example is described in the problem statement.
Submitted Solution:
```
n = int(input())
arr = list(map(int, input().split()))
lb = 0
rb = n - 1
last = -1
ans = []
while lb < rb:
if arr[lb] < arr[rb]:
last = arr[lb]
ans.append('L')
lb += 1
elif arr[rb] < arr[lb]:
last = arr[rb]
ans.append('R')
rb -= 1
else:
break
if lb == rb:
ans.append('R')
elif arr[lb] == arr[rb]:
szleft = 0
while arr[lb + szleft] < arr[lb + szleft + 1]:
szleft += 1
szright = 0
while arr[rb - szright] < arr[rb - szright - 1]:
szright += 1
if szleft > szright:
ans.extend(['L'] * (szleft + 1))
else:
ans.extend(['R'] * (szright + 1))
print(len(ans))
print(''.join(ans))
``` | instruction | 0 | 6,640 | 5 | 13,280 |
No | output | 1 | 6,640 | 5 | 13,281 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The only difference between problems C1 and C2 is that all values in input of problem C1 are distinct (this condition may be false for problem C2).
You are given a sequence a consisting of n integers.
You are making a sequence of moves. During each move you must take either the leftmost element of the sequence or the rightmost element of the sequence, write it down and remove it from the sequence. Your task is to write down a strictly increasing sequence, and among all such sequences you should take the longest (the length of the sequence is the number of elements in it).
For example, for the sequence [1, 2, 4, 3, 2] the answer is 4 (you take 1 and the sequence becomes [2, 4, 3, 2], then you take the rightmost element 2 and the sequence becomes [2, 4, 3], then you take 3 and the sequence becomes [2, 4] and then you take 4 and the sequence becomes [2], the obtained increasing sequence is [1, 2, 3, 4]).
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in a.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 2 ⋅ 10^5), where a_i is the i-th element of a.
Output
In the first line of the output print k — the maximum number of elements in a strictly increasing sequence you can obtain.
In the second line print a string s of length k, where the j-th character of this string s_j should be 'L' if you take the leftmost element during the j-th move and 'R' otherwise. If there are multiple answers, you can print any.
Examples
Input
5
1 2 4 3 2
Output
4
LRRR
Input
7
1 3 5 6 5 4 2
Output
6
LRLRRR
Input
3
2 2 2
Output
1
R
Input
4
1 2 4 3
Output
4
LLRR
Note
The first example is described in the problem statement.
Submitted Solution:
```
def f(a, lastNum):
lenA = len(a)
r = []
if lenA == 1:
if a[0] > lastNum:
r = ['L']
else:
if a[0] > lastNum:
r1 = f(a[1:], a[0])
r1.insert(0, 'L')
else:
r1 = []
if a[lenA-1] > lastNum:
r2 = f(a[:lenA-1], a[lenA-1])
r2.insert(0, 'L')
else:
r2 = []
if len(r1) > len(r2):
r = r1
elif len(r2) > len(r1):
r = r2
elif len(r1) > 0:
r = r1
return r
n = int(input())
aInput = list(map(int, input().split()))
res = f(aInput, -1)
print(len(res))
print(*res, sep = '')
``` | instruction | 0 | 6,643 | 5 | 13,286 |
No | output | 1 | 6,643 | 5 | 13,287 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given an array a of length n, find another array, b, of length n such that:
* for each i (1 ≤ i ≤ n) MEX(\\{b_1, b_2, …, b_i\})=a_i.
The MEX of a set of integers is the smallest non-negative integer that doesn't belong to this set.
If such array doesn't exist, determine this.
Input
The first line contains an integer n (1 ≤ n ≤ 10^5) — the length of the array a.
The second line contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ i) — the elements of the array a. It's guaranteed that a_i ≤ a_{i+1} for 1≤ i < n.
Output
If there's no such array, print a single line containing -1.
Otherwise, print a single line containing n integers b_1, b_2, …, b_n (0 ≤ b_i ≤ 10^6)
If there are multiple answers, print any.
Examples
Input
3
1 2 3
Output
0 1 2
Input
4
0 0 0 2
Output
1 3 4 0
Input
3
1 1 3
Output
0 2 1
Note
In the second test case, other answers like [1,1,1,0], for example, are valid.
Submitted Solution:
```
from collections import deque
n = int(input())
INF=float('inf')
rr = lambda: input()
rri = lambda: int(input())
rrm = lambda: list(map(int, input().split()))
def solve(N, A):
free = deque()
ans = [-1] * N
low = 0
for i, x in enumerate(A):
free.append([i, x])
while low < x:
if not free: return
j, y = free.pop()
if low != y: #success
ans[j] = low
low += 1
else: return
while free:
ans[free.pop()[0]] = 10**6
return ans
arr= rrm()
ans = solve(n,arr)
if ans is None:
print -1
else:
print(" ".join(map(str, ans)))
# from awice
``` | instruction | 0 | 6,755 | 5 | 13,510 |
Yes | output | 1 | 6,755 | 5 | 13,511 |
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