message stringlengths 2 44.5k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N.
For two positive integers A and B, we will define F(A,B) as the larger of the following: the number of digits in the decimal notation of A, and the number of digits in the decimal notation of B.
For example, F(3,11) = 2 since 3 has one digit and 11 has two digits.
Find the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Constraints
* 1 \leq N \leq 10^{10}
* N is an integer.
Input
The input is given from Standard Input in the following format:
N
Output
Print the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Examples
Input
10000
Output
3
Input
1000003
Output
7
Input
9876543210
Output
6
Submitted Solution:
```
N = int(input())
ans = float("inf")
for i in range(1,int(N**(1/2)//1)+1):
if N%i == 0:
ans = min(ans,len(str(N//i)))
print(ans)
``` | instruction | 0 | 19,259 | 5 | 38,518 |
Yes | output | 1 | 19,259 | 5 | 38,519 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N.
For two positive integers A and B, we will define F(A,B) as the larger of the following: the number of digits in the decimal notation of A, and the number of digits in the decimal notation of B.
For example, F(3,11) = 2 since 3 has one digit and 11 has two digits.
Find the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Constraints
* 1 \leq N \leq 10^{10}
* N is an integer.
Input
The input is given from Standard Input in the following format:
N
Output
Print the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Examples
Input
10000
Output
3
Input
1000003
Output
7
Input
9876543210
Output
6
Submitted Solution:
```
N=int(input())
ans=len(str(N))
for a in range(2,int(N**0.5)+1):
if N%a==0:
b=N//a
ans=min(ans,len(str(b)))
print(ans)
``` | instruction | 0 | 19,260 | 5 | 38,520 |
Yes | output | 1 | 19,260 | 5 | 38,521 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N.
For two positive integers A and B, we will define F(A,B) as the larger of the following: the number of digits in the decimal notation of A, and the number of digits in the decimal notation of B.
For example, F(3,11) = 2 since 3 has one digit and 11 has two digits.
Find the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Constraints
* 1 \leq N \leq 10^{10}
* N is an integer.
Input
The input is given from Standard Input in the following format:
N
Output
Print the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Examples
Input
10000
Output
3
Input
1000003
Output
7
Input
9876543210
Output
6
Submitted Solution:
```
n = int(input())
a = int(n ** 0.5)
while a>0:
if n%a == 0:
print(len(str(n//a)))
break
a -= 1
``` | instruction | 0 | 19,261 | 5 | 38,522 |
Yes | output | 1 | 19,261 | 5 | 38,523 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N.
For two positive integers A and B, we will define F(A,B) as the larger of the following: the number of digits in the decimal notation of A, and the number of digits in the decimal notation of B.
For example, F(3,11) = 2 since 3 has one digit and 11 has two digits.
Find the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Constraints
* 1 \leq N \leq 10^{10}
* N is an integer.
Input
The input is given from Standard Input in the following format:
N
Output
Print the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Examples
Input
10000
Output
3
Input
1000003
Output
7
Input
9876543210
Output
6
Submitted Solution:
```
import math
#入力
N = int(input())
minF = 100 #Fの最小値
#A = 1のとき
F = int(math.log10(N)) +1
if F < minF:
minF = F
for A in range(2,int(math.sqrt(N))):
#AがBの約数でなかったら飛ばす
if N % A == 0:
B = N / A
#F = culculate_F(A,B)
F = int(math.log10(B)) + 1
#Fがこれまでで最小ならminFを更新
if F < minF:
minF = F
print(minF)
``` | instruction | 0 | 19,262 | 5 | 38,524 |
No | output | 1 | 19,262 | 5 | 38,525 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N.
For two positive integers A and B, we will define F(A,B) as the larger of the following: the number of digits in the decimal notation of A, and the number of digits in the decimal notation of B.
For example, F(3,11) = 2 since 3 has one digit and 11 has two digits.
Find the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Constraints
* 1 \leq N \leq 10^{10}
* N is an integer.
Input
The input is given from Standard Input in the following format:
N
Output
Print the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Examples
Input
10000
Output
3
Input
1000003
Output
7
Input
9876543210
Output
6
Submitted Solution:
```
n = int(input())
def f(a, b):
x = max(a, b)
return len(str(x))
results = []
for i in range(1, (n // 2) + 1):
if n % i == 0:
a = i
b = int(n / i)
result = f(a, b)
results.append(result)
print(min(results))
``` | instruction | 0 | 19,263 | 5 | 38,526 |
No | output | 1 | 19,263 | 5 | 38,527 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N.
For two positive integers A and B, we will define F(A,B) as the larger of the following: the number of digits in the decimal notation of A, and the number of digits in the decimal notation of B.
For example, F(3,11) = 2 since 3 has one digit and 11 has two digits.
Find the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Constraints
* 1 \leq N \leq 10^{10}
* N is an integer.
Input
The input is given from Standard Input in the following format:
N
Output
Print the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Examples
Input
10000
Output
3
Input
1000003
Output
7
Input
9876543210
Output
6
Submitted Solution:
```
import math
n=int(input())
a=int(math.sqrt(n))
ans=len(str(n))
for i in range(1,a+1):
if n%i==0:
cand=len(str(max(i,n/i)))
if ans>cand:
ans=cand
print(ans)
``` | instruction | 0 | 19,264 | 5 | 38,528 |
No | output | 1 | 19,264 | 5 | 38,529 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer N.
For two positive integers A and B, we will define F(A,B) as the larger of the following: the number of digits in the decimal notation of A, and the number of digits in the decimal notation of B.
For example, F(3,11) = 2 since 3 has one digit and 11 has two digits.
Find the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Constraints
* 1 \leq N \leq 10^{10}
* N is an integer.
Input
The input is given from Standard Input in the following format:
N
Output
Print the minimum value of F(A,B) as (A,B) ranges over all pairs of positive integers such that N = A \times B.
Examples
Input
10000
Output
3
Input
1000003
Output
7
Input
9876543210
Output
6
Submitted Solution:
```
import math
n = int(input())
a = math.sqrt(n)
if n % a == 0.0:
b = int(math.log10(a)) + 1
print(b)
else:
a = int(a)
while n % a != 0:
a = a -1
b = int(math.log10(a)) + 1
print(b)
``` | instruction | 0 | 19,265 | 5 | 38,530 |
No | output | 1 | 19,265 | 5 | 38,531 |
Provide a correct Python 3 solution for this coding contest problem.
problem
AOR Ika made a set $ S = \\ {a_1, ..., a_N \\} $ and a map $ f: S → S $. $ f (a_i) = b_i $. For any element $ x $ in the set $ S $, all maps $ g, h: S → S $ satisfying $ g (f (x)) = h (f (x)) $ are $ g (x). ) = Determine if h (x) $ is satisfied, and if not, configure one counterexample.
Example
Input
5
1 2 3 4 5
3 4 2 5 1
Output
Yes | instruction | 0 | 19,388 | 5 | 38,776 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
from collections import Counter
def inpl(): return list(map(int, input().split()))
N = int(input())
A = inpl()
Ai = range(N)
Ad = {a:i for i, a in enumerate(A)}
F = inpl()
C = [0]*N
for f in F:
C[Ad[f]] += 1
if not 0 in C:
print("Yes")
else:
print("No")
print(*list(map(str, A)))
lack = C.index(0)
ans = A[:lack] + [A[lack-1]] + A[lack+1:]
print(*ans)
``` | output | 1 | 19,388 | 5 | 38,777 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
While Patrick was gone shopping, Spongebob decided to play a little trick on his friend. The naughty Sponge browsed through Patrick's personal stuff and found a sequence a1, a2, ..., am of length m, consisting of integers from 1 to n, not necessarily distinct. Then he picked some sequence f1, f2, ..., fn of length n and for each number ai got number bi = fai. To finish the prank he erased the initial sequence ai.
It's hard to express how sad Patrick was when he returned home from shopping! We will just say that Spongebob immediately got really sorry about what he has done and he is now trying to restore the original sequence. Help him do this or determine that this is impossible.
Input
The first line of the input contains two integers n and m (1 ≤ n, m ≤ 100 000) — the lengths of sequences fi and bi respectively.
The second line contains n integers, determining sequence f1, f2, ..., fn (1 ≤ fi ≤ n).
The last line contains m integers, determining sequence b1, b2, ..., bm (1 ≤ bi ≤ n).
Output
Print "Possible" if there is exactly one sequence ai, such that bi = fai for all i from 1 to m. Then print m integers a1, a2, ..., am.
If there are multiple suitable sequences ai, print "Ambiguity".
If Spongebob has made a mistake in his calculations and no suitable sequence ai exists, print "Impossible".
Examples
Input
3 3
3 2 1
1 2 3
Output
Possible
3 2 1
Input
3 3
1 1 1
1 1 1
Output
Ambiguity
Input
3 3
1 2 1
3 3 3
Output
Impossible
Note
In the first sample 3 is replaced by 1 and vice versa, while 2 never changes. The answer exists and is unique.
In the second sample all numbers are replaced by 1, so it is impossible to unambiguously restore the original sequence.
In the third sample fi ≠ 3 for all i, so no sequence ai transforms into such bi and we can say for sure that Spongebob has made a mistake.
Submitted Solution:
```
from collections import defaultdict as ddict
n, m = map(int, input().split())
f = list(map(int, input().split()))
b = list(map(int, input().split()))
idf = ddict(list)
for i in range(n):
idf[f[i]].append(i)
ans = [0] * m
flag_amb = False
for i in range(m):
if len(idf[b[i]]) == 0:
print("Impossible")
exit()
if len(idf[b[i]]) > 1:
flag_amb = True
ans[i] = idf[b[i]][0] + 1
if flag_amb:
print("Ambiguity")
else:
print("Possible")
print(" ".join(map(str, ans)))
``` | instruction | 0 | 19,847 | 5 | 39,694 |
Yes | output | 1 | 19,847 | 5 | 39,695 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
While Patrick was gone shopping, Spongebob decided to play a little trick on his friend. The naughty Sponge browsed through Patrick's personal stuff and found a sequence a1, a2, ..., am of length m, consisting of integers from 1 to n, not necessarily distinct. Then he picked some sequence f1, f2, ..., fn of length n and for each number ai got number bi = fai. To finish the prank he erased the initial sequence ai.
It's hard to express how sad Patrick was when he returned home from shopping! We will just say that Spongebob immediately got really sorry about what he has done and he is now trying to restore the original sequence. Help him do this or determine that this is impossible.
Input
The first line of the input contains two integers n and m (1 ≤ n, m ≤ 100 000) — the lengths of sequences fi and bi respectively.
The second line contains n integers, determining sequence f1, f2, ..., fn (1 ≤ fi ≤ n).
The last line contains m integers, determining sequence b1, b2, ..., bm (1 ≤ bi ≤ n).
Output
Print "Possible" if there is exactly one sequence ai, such that bi = fai for all i from 1 to m. Then print m integers a1, a2, ..., am.
If there are multiple suitable sequences ai, print "Ambiguity".
If Spongebob has made a mistake in his calculations and no suitable sequence ai exists, print "Impossible".
Examples
Input
3 3
3 2 1
1 2 3
Output
Possible
3 2 1
Input
3 3
1 1 1
1 1 1
Output
Ambiguity
Input
3 3
1 2 1
3 3 3
Output
Impossible
Note
In the first sample 3 is replaced by 1 and vice versa, while 2 never changes. The answer exists and is unique.
In the second sample all numbers are replaced by 1, so it is impossible to unambiguously restore the original sequence.
In the third sample fi ≠ 3 for all i, so no sequence ai transforms into such bi and we can say for sure that Spongebob has made a mistake.
Submitted Solution:
```
s1=input().split()
n=int(s1[0])
m=int(s1[1])
d=input().split()
f=[]
q=set()
w=set()
for i in range(n):
f.append(d[i])
q.add(d[i])
s=input().split()
for i in range(m):
w.add(s[i])
d.sort()
s.sort()
k=0
j=0
r=len(q)
t=len(w)
for i in range(m-1):
if m>1:
if s[i]==s[i+1]:
k+=1
if m==1:
k=1
for i in range(m):
if d[i]==s[i]:
j+=1
if j==m and k!=0 and r==t:
print("Ambiguity")
elif j==m and k==0 and r==t:
print("Possible")
for i in range(n):
print(f[i],end=' ')
else:
print("Impossible")
``` | instruction | 0 | 19,852 | 5 | 39,704 |
No | output | 1 | 19,852 | 5 | 39,705 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
While Patrick was gone shopping, Spongebob decided to play a little trick on his friend. The naughty Sponge browsed through Patrick's personal stuff and found a sequence a1, a2, ..., am of length m, consisting of integers from 1 to n, not necessarily distinct. Then he picked some sequence f1, f2, ..., fn of length n and for each number ai got number bi = fai. To finish the prank he erased the initial sequence ai.
It's hard to express how sad Patrick was when he returned home from shopping! We will just say that Spongebob immediately got really sorry about what he has done and he is now trying to restore the original sequence. Help him do this or determine that this is impossible.
Input
The first line of the input contains two integers n and m (1 ≤ n, m ≤ 100 000) — the lengths of sequences fi and bi respectively.
The second line contains n integers, determining sequence f1, f2, ..., fn (1 ≤ fi ≤ n).
The last line contains m integers, determining sequence b1, b2, ..., bm (1 ≤ bi ≤ n).
Output
Print "Possible" if there is exactly one sequence ai, such that bi = fai for all i from 1 to m. Then print m integers a1, a2, ..., am.
If there are multiple suitable sequences ai, print "Ambiguity".
If Spongebob has made a mistake in his calculations and no suitable sequence ai exists, print "Impossible".
Examples
Input
3 3
3 2 1
1 2 3
Output
Possible
3 2 1
Input
3 3
1 1 1
1 1 1
Output
Ambiguity
Input
3 3
1 2 1
3 3 3
Output
Impossible
Note
In the first sample 3 is replaced by 1 and vice versa, while 2 never changes. The answer exists and is unique.
In the second sample all numbers are replaced by 1, so it is impossible to unambiguously restore the original sequence.
In the third sample fi ≠ 3 for all i, so no sequence ai transforms into such bi and we can say for sure that Spongebob has made a mistake.
Submitted Solution:
```
n,m = map(int, input().split())
f = list(map(int, input().split()))
b = list(map(int, input().split()))
a = []
c = [-1]*(n+1)
for i in range(n):
if c[f[i]] != -1:c[f[i]] = -2
else: c[f[i]] = i+1
for i in range(m):
if c[b[i]] == -2:print('Ambiguity'); exit()
if c[b[i]] == -1: print('Impossible'); exit()
a.append(str(c[b[i]]))
print('Possible');print(' '.join(a))
``` | instruction | 0 | 19,854 | 5 | 39,708 |
No | output | 1 | 19,854 | 5 | 39,709 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,034 | 5 | 40,068 |
"Correct Solution:
```
n = int(input())
lis = list(map(int, input().split()))
maxL = max(lis)+1
t = [0] * maxL
lis.sort()
for k in lis:
t[k] += 1
if t[k] == 1:
for p in range(k * 2, maxL, k):
t[p] += 2
print(t.count(1))
``` | output | 1 | 20,034 | 5 | 40,069 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,035 | 5 | 40,070 |
"Correct Solution:
```
def main():
N=int(input())
D=[0]*(10**6+1)
A=sorted(map(int,input().split()))
m=max(A)+1
for a in A:
if D[a]==0:
D[a]=1
for i in range(2*a,m,a):
D[i]=-1
else:
D[a]=-1
print(D.count(1))
main()
``` | output | 1 | 20,035 | 5 | 40,071 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,036 | 5 | 40,072 |
"Correct Solution:
```
n = int(input())
a = [int(x) for x in input().split()]
mx = max(a)
mark = [0 for _ in range(mx+1)]
for i in range(n):
for x in range(a[i], mx+1, a[i]):
mark[x] += 1
ans = 0
for i in range(n):
if mark[a[i]] == 1:
ans += 1
print(ans)
``` | output | 1 | 20,036 | 5 | 40,073 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,037 | 5 | 40,074 |
"Correct Solution:
```
n = int(input())
A = list(map(int, input().split()))
dp = [0] * (10**6+1)
for a in A:
dp[a] += 1
for i in range(1, len(dp)):
if dp[i]:
for j in range(i+i, len(dp), i):
dp[j] = 0
print(dp.count(1))
``` | output | 1 | 20,037 | 5 | 40,075 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,038 | 5 | 40,076 |
"Correct Solution:
```
M=10**6+1
_,*l=map(int,open(0).read().split())
a=[0]*M
for i in l:
if a[i]<1:
for j in range(i*2,M,i):
a[j]=2
a[i]+=1
print(a.count(1))
``` | output | 1 | 20,038 | 5 | 40,077 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,039 | 5 | 40,078 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
x = max(a)
dp = [0] * (x+1)
for ai in a:
i = 1
while i * ai <= x:
dp[i * ai] += 1
i += 1
ans = 0
for ai in a:
if dp[ai] <= 1:
ans += 1
print(ans)
``` | output | 1 | 20,039 | 5 | 40,079 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,040 | 5 | 40,080 |
"Correct Solution:
```
N=int(input())
A=list(map(int,input().split()))
dp=[0]*(10**6+1)
ans=0
for i in A:
if dp[i]==0:
for j in range(i,10**6+1,i):
dp[j]+=1
else:
dp[i]+=1
for i in A:
if dp[i]==1:
ans+=1
print(ans)
``` | output | 1 | 20,040 | 5 | 40,081 |
Provide a correct Python 3 solution for this coding contest problem.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5 | instruction | 0 | 20,041 | 5 | 40,082 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
A.sort()
B = [0] * (A[-1] + 2)
c = 0
for a in A:
if B[a] != 0:
B[a] = 2
for i in range(a, A[-1] + 1, a):
B[i] += 1
for a in A:
if B[a] == 1:
c += 1
print(c)
``` | output | 1 | 20,041 | 5 | 40,083 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
n = int(input())
A = list(map(int,input().split()))
A.sort()
mx = A[n-1]
dp = [0]*(mx+1)
for a in A:
for j in range(a,mx+1,a):
dp[j]+=1
sum = 0
for i in A:
if dp[i]==1:
sum+=1
print(sum)
``` | instruction | 0 | 20,042 | 5 | 40,084 |
Yes | output | 1 | 20,042 | 5 | 40,085 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
n = int(input())
a = sorted(list(map(int, input().split())))
MA = (max(a) + 1)
ans = [0] * MA
for i in range(n):
for j in range(a[i],MA,a[i]):
ans[j] += 1
print(sum(ans[i]==1 for i in a))
``` | instruction | 0 | 20,043 | 5 | 40,086 |
Yes | output | 1 | 20,043 | 5 | 40,087 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
n=int(input())
*l,=map(int, input().split())
solv=0
max=max(l) +1
count=[0 for i in range(max)]
for i in l:
for j in range(i,max,i):
count[j] += 1
for k in l:
if count[k] == 1:
solv += 1
print(solv)
``` | instruction | 0 | 20,044 | 5 | 40,088 |
Yes | output | 1 | 20,044 | 5 | 40,089 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
#!/usr/bin/env python3
n, *a = map(int, open(0).read().split())
a.sort()
m = a[-1]
s = [0]*(m+1)
ans = 0
for i in a:
if s[i] <= 1:
for j in range(i, m+1, i):
s[j] += 1
for k in a:
if s[k] == 1:
ans += 1
print(ans)
``` | instruction | 0 | 20,045 | 5 | 40,090 |
Yes | output | 1 | 20,045 | 5 | 40,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
import sys,queue,math,copy,itertools,bisect,collections,heapq
def main():
LI = lambda : [int(x) for x in sys.stdin.readline().split()]
NI = lambda : int(sys.stdin.readline())
N = NI()
y = [0] * (10**6 + 1)
A = []
for x in sys.stdin.readline().split():
x = int(x)
A.append(x)
y[x] += 1
ans = 0
for i in range(N):
x = A[i]
if x > 1:
if y[1] : continue
if y[x] > 1: continue
f = 1
for j in range(2,int(math.sqrt(x))+1):
if y[j] or y[x//j]:
if i % j == 0:
f = 0
break
ans += f
print(ans)
if __name__ == '__main__':
main()
``` | instruction | 0 | 20,046 | 5 | 40,092 |
No | output | 1 | 20,046 | 5 | 40,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
N=int(input())
A=list(map(int, input().split()))
A.sort()
ans=0
B=[1]*N
#print(A)
for i in range(N):
flg=True
if B[i] == 1:
for j in range(1,N-i):
if A[j+i]%A[i]==0:
B[j+i]=0
if A[i]==A[j+i]:
B[i]=0
#print(B)
print(sum(B))
``` | instruction | 0 | 20,047 | 5 | 40,094 |
No | output | 1 | 20,047 | 5 | 40,095 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
import sys
sys.setrecursionlimit(10 ** 8)
input = sys.stdin.readline
def main():
N = int(input())
A = [int(x) for x in input().split()]
A.sort()
B = [0] * (max(A) + 1)
ans = 0
for i, a in enumerate(A):
if B[a] == 1:
continue
for aa in range(a, max(A) + 1, a):
B[aa] = 1
if i != len(A) - 1 and A[i] == A[i + 1]:
continue
ans += 1
print(ans)
if __name__ == '__main__':
main()
``` | instruction | 0 | 20,048 | 5 | 40,096 |
No | output | 1 | 20,048 | 5 | 40,097 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Given is a number sequence A of length N.
Find the number of integers i \left(1 \leq i \leq N\right) with the following property:
* For every integer j \left(1 \leq j \leq N\right) such that i \neq j , A_j does not divide A_i.
Constraints
* All values in input are integers.
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^6
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \cdots A_N
Output
Print the answer.
Examples
Input
5
24 11 8 3 16
Output
3
Input
4
5 5 5 5
Output
0
Input
10
33 18 45 28 8 19 89 86 2 4
Output
5
Submitted Solution:
```
n = int(input())
nums = list(map(int,input().split()))
nums.sort()
ans = 0
cnt = {}
flag = [0]*1000000
for i in range(1,len(nums)):
if nums[i] == nums[i-1]:
flag[nums[i]] = 1
if flag[nums[0]] == 0:
ans +=1
for i in range(1,len(nums)):
if flag[nums[i]] == 0:
ans += 1
if nums[i] != nums[i-1]:
n = nums[i]
while n <1000000:
flag[n] = 1
n = n+ nums[i]
print(ans)
``` | instruction | 0 | 20,049 | 5 | 40,098 |
No | output | 1 | 20,049 | 5 | 40,099 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,050 | 5 | 40,100 |
"Correct Solution:
```
n = input()
arr = map(int, input().split())
for a in arr:
if a % 2 == 0:
if a % 3 and a % 5:
print("DENIED")
break
else:
print("APPROVED")
``` | output | 1 | 20,050 | 5 | 40,101 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,051 | 5 | 40,102 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
for e in a:
if e%2 == 0 and (e%3 != 0 and e%5 != 0):
print("DENIED")
exit()
print("APPROVED")
``` | output | 1 | 20,051 | 5 | 40,103 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,052 | 5 | 40,104 |
"Correct Solution:
```
n = int(input())
for i in map(int,input().split()):
if i % 2 == 0:
if i % 3 != 0 and i % 5 != 0:
print('DENIED')
exit()
print('APPROVED')
``` | output | 1 | 20,052 | 5 | 40,105 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,053 | 5 | 40,106 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
if all([a%3 == 0 or a%5 == 0 for a in A if a%2 == 0]):
print("APPROVED")
else:
print("DENIED")
``` | output | 1 | 20,053 | 5 | 40,107 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,054 | 5 | 40,108 |
"Correct Solution:
```
n=int(input())
a=input().split(" ")
s="APPROVED"
for i in range(n):
t = int(a[i])
if t%2==0:
if t%3 != 0 and t%5!=0:
s="DENIED"
print(s)
``` | output | 1 | 20,054 | 5 | 40,109 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,055 | 5 | 40,110 |
"Correct Solution:
```
N = int(input())
*A, = map(int, input().split())
print("APPROVED" if all(map(lambda x:x%3==0 or x%5==0, filter(lambda x:x%2==0, A))) else "DENIED")
``` | output | 1 | 20,055 | 5 | 40,111 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,056 | 5 | 40,112 |
"Correct Solution:
```
n=int(input())
a=list(map(int, input().split()))
for x in a:
if x%2==0:
if not(x%3==0 or x%5==0):
print('DENIED')
exit()
print('APPROVED')
``` | output | 1 | 20,056 | 5 | 40,113 |
Provide a correct Python 3 solution for this coding contest problem.
You are an immigration officer in the Kingdom of AtCoder. The document carried by an immigrant has some number of integers written on it, and you need to check whether they meet certain criteria.
According to the regulation, the immigrant should be allowed entry to the kingdom if and only if the following condition is satisfied:
* All even numbers written on the document are divisible by 3 or 5.
If the immigrant should be allowed entry according to the regulation, output `APPROVED`; otherwise, print `DENIED`.
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq A_i \leq 1000
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 \dots A_N
Output
If the immigrant should be allowed entry according to the regulation, print `APPROVED`; otherwise, print `DENIED`.
Examples
Input
5
6 7 9 10 31
Output
APPROVED
Input
3
28 27 24
Output
DENIED | instruction | 0 | 20,057 | 5 | 40,114 |
"Correct Solution:
```
input()
A=list(map(int,input().split()))
print("APPROVED" if all(a&1 or a%3==0 or a%5==0 for a in A) else "DENIED")
``` | output | 1 | 20,057 | 5 | 40,115 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,066 | 5 | 40,132 |
"Correct Solution:
```
n = int(input())
l = n // 100
r = n % 100
yymm = 1 <= r <= 12
mmyy = 1 <= l <= 12
if yymm:
print('AMBIGUOUS' if mmyy else 'YYMM')
else:
print('MMYY' if mmyy else 'NA')
``` | output | 1 | 20,066 | 5 | 40,133 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,067 | 5 | 40,134 |
"Correct Solution:
```
S=input();A=S[:2];B=S[2:];x=1*(sorted([A,'01','12'])[1]==A);y=2*(sorted([B,'01','12'])[1]==B);print(['NA','MMYY','YYMM','AMBIGUOUS'][x+y])
``` | output | 1 | 20,067 | 5 | 40,135 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,068 | 5 | 40,136 |
"Correct Solution:
```
s = int(input())
a = s//100
b = s%100
if 0<a<13 and 0<b<13:
print('AMBIGUOUS')
elif 0<a<13:
print('MMYY')
elif 0<b<13:
print('YYMM')
else:
print('NA')
``` | output | 1 | 20,068 | 5 | 40,137 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,069 | 5 | 40,138 |
"Correct Solution:
```
s = input().strip()
a = int(s[0:2])
b = int(s[2:])
if 1<=a<=12 and 1<=b<=12:
print("AMBIGUOUS")
elif 1<=a<=12:
print("MMYY")
elif 1<=b<=12:
print("YYMM")
else:
print("NA")
``` | output | 1 | 20,069 | 5 | 40,139 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,070 | 5 | 40,140 |
"Correct Solution:
```
S=input()
A=int(S[:2])
B=int(S[2:])
if 1<=A<=12 and 1<=B<=12:
print('AMBIGUOUS')
elif 1<=A<=12:
print('MMYY')
elif 1<=B<=12:
print('YYMM')
else:
print('NA')
``` | output | 1 | 20,070 | 5 | 40,141 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,071 | 5 | 40,142 |
"Correct Solution:
```
s = input()
my,ym = 0<int(s[:2])<13,0<int(s[2:])<13
if my and ym:
print('AMBIGUOUS')
elif my:
print('MMYY')
elif ym:
print("YYMM")
else:
print("NA")
``` | output | 1 | 20,071 | 5 | 40,143 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,072 | 5 | 40,144 |
"Correct Solution:
```
a = input()
if 0<int(a[:2])<=12:
if 0<int(a[2:])<=12:
print("AMBIGUOUS")
else:
print("MMYY")
else:
if 0<int(a[2:])<=12:
print("YYMM")
else:
print("NA")
``` | output | 1 | 20,072 | 5 | 40,145 |
Provide a correct Python 3 solution for this coding contest problem.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA | instruction | 0 | 20,073 | 5 | 40,146 |
"Correct Solution:
```
s = input()
a = 0 < int(s[:2]) < 13
b = 0 < int(s[2:]) < 13
if a and b:
print("AMBIGUOUS")
elif a:
print("MMYY")
elif b:
print("YYMM")
else:
print("NA")
``` | output | 1 | 20,073 | 5 | 40,147 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
S=input()
a=1<=int(S[:2])<=12
b=1<=int(S[-2:])<=12
if a & b: print('AMBIGUOUS')
elif a: print('MMYY')
elif b: print('YYMM')
else: print('NA')
``` | instruction | 0 | 20,074 | 5 | 40,148 |
Yes | output | 1 | 20,074 | 5 | 40,149 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
S=input()
s1=int(S[0:2])
s2=int(S[2:5])
if 1<=s1<=12:
print("AMBIGUOUS" if 1<=s2<=12 else "MMYY")
else:
print("YYMM" if 1<=s2<=12 else "NA")
``` | instruction | 0 | 20,075 | 5 | 40,150 |
Yes | output | 1 | 20,075 | 5 | 40,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
s = input()
if 1 <= int(s[0:2]) < 13:
if 1 <= int(s[2:4]) < 13:
print("AMBIGUOUS")
else:
print("MMYY")
else:
if 1 <= int(s[2:4]) < 13:
print("YYMM")
else:
print("NA")
``` | instruction | 0 | 20,076 | 5 | 40,152 |
Yes | output | 1 | 20,076 | 5 | 40,153 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
s=int(input())
a=s//100
b=s%100
if 0<a<13 and 0<b<13:
print("AMBIGUOUS")
elif 0<a<13:
print("MMYY")
elif 0<b<13:
print("YYMM")
else:
print("NA")
``` | instruction | 0 | 20,077 | 5 | 40,154 |
Yes | output | 1 | 20,077 | 5 | 40,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
S = input()
first_two = int(S[:2])
last_two = int(S[-2:])
if first_two == 0 or first_two > 12:
if last_two == 0:
print('NA')
elif last_two <= 12:
print('YYMM')
else:
print('NA')
elif first_two <= 12:
if last_two == 0:
print('NA')
elif last_two <= 12:
print('AMBIGUOUS')
else:
print('MMYY')
``` | instruction | 0 | 20,078 | 5 | 40,156 |
No | output | 1 | 20,078 | 5 | 40,157 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
s=input()
fs=int(s[:2])
ls=int(s[2:])
if 1<=fs<=12 and ls>=13:
print('MMYY')
elif 1<=fs<=12 and 1<=ls<=12:
print('AMBIGUOUS')
elif fs>=13 and 1<=ls<=12:
print('YYMM')
else:
print('NO')
``` | instruction | 0 | 20,079 | 5 | 40,158 |
No | output | 1 | 20,079 | 5 | 40,159 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
data = input()
first = data[:2]
second = data[2:]
if int(first)>12 and int(second)<13 and int(second)>0:
print("YYMM")
elif int(first)>12 and (int(second)>12 or int(second)==0):
print("NA")
elif int(first)<13 and int(second)<13 and int(first)>0 and int(second)>0:
print("AMBIGUOUS")
elif int(first)<13 and int(first)>0 and int(second)>12:
print("MMYY")
else:
print("NA")
``` | instruction | 0 | 20,080 | 5 | 40,160 |
No | output | 1 | 20,080 | 5 | 40,161 |
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