text stringlengths 198 433k | conversation_id int64 0 109k |
|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haiku. It is a sequence of words, each consisting of lowercase letters 'a' to 'z', and must satisfy the following condition:
> (The Condition for a Short Phrase)
> The sequence of words can be divided into five sections such that the total number of the letters in the word(s) of the first section is five, that of the second is seven, and those of the rest are five, seven, and seven, respectively.
The following is an example of a Short Phrase.
>
> do the best
> and enjoy today
> at acm icpc
>
In this example, the sequence of the nine words can be divided into five sections (1) "do" and "the", (2) "best" and "and", (3) "enjoy", (4) "today" and "at", and (5) "acm" and "icpc" such that they have 5, 7, 5, 7, and 7 letters in this order, respectively. This surely satisfies the condition of a Short Phrase.
Now, Short Phrase Parnassus published by your company has received a lot of contributions. By an unfortunate accident, however, some irrelevant texts seem to be added at beginnings and ends of contributed Short Phrases. Your mission is to write a program that finds the Short Phrase from a sequence of words that may have an irrelevant prefix and/or a suffix.
Input
The input consists of multiple datasets, each in the following format.
> n
> w1
> ...
> wn
>
Here, n is the number of words, which is a positive integer not exceeding 40; wi is the i-th word, consisting solely of lowercase letters from 'a' to 'z'. The length of each word is between 1 and 10, inclusive. You can assume that every dataset includes a Short Phrase.
The end of the input is indicated by a line with a single zero.
Output
For each dataset, output a single line containing i where the first word of the Short Phrase is wi. When multiple Short Phrases occur in the dataset, you should output the first one.
Sample Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output for the Sample Input
1
2
6
Example
Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output
1
2
6
Submitted Solution:
```
s = [5,7,5,7,7]
def solve(n):
num = [len(input()) for _ in range(n)]
for i in range(n):
c = 0
k = 0
for j in range(i,n):
c+= num[j]
if c==s[k]:
k+=1
c = 0
if k == 5:
print(i+1)
return
if c > s[k]:
break
while 1:
n = int(input())
if n == 0:
break
solve(n)
```
Yes
| 86,500 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haiku. It is a sequence of words, each consisting of lowercase letters 'a' to 'z', and must satisfy the following condition:
> (The Condition for a Short Phrase)
> The sequence of words can be divided into five sections such that the total number of the letters in the word(s) of the first section is five, that of the second is seven, and those of the rest are five, seven, and seven, respectively.
The following is an example of a Short Phrase.
>
> do the best
> and enjoy today
> at acm icpc
>
In this example, the sequence of the nine words can be divided into five sections (1) "do" and "the", (2) "best" and "and", (3) "enjoy", (4) "today" and "at", and (5) "acm" and "icpc" such that they have 5, 7, 5, 7, and 7 letters in this order, respectively. This surely satisfies the condition of a Short Phrase.
Now, Short Phrase Parnassus published by your company has received a lot of contributions. By an unfortunate accident, however, some irrelevant texts seem to be added at beginnings and ends of contributed Short Phrases. Your mission is to write a program that finds the Short Phrase from a sequence of words that may have an irrelevant prefix and/or a suffix.
Input
The input consists of multiple datasets, each in the following format.
> n
> w1
> ...
> wn
>
Here, n is the number of words, which is a positive integer not exceeding 40; wi is the i-th word, consisting solely of lowercase letters from 'a' to 'z'. The length of each word is between 1 and 10, inclusive. You can assume that every dataset includes a Short Phrase.
The end of the input is indicated by a line with a single zero.
Output
For each dataset, output a single line containing i where the first word of the Short Phrase is wi. When multiple Short Phrases occur in the dataset, you should output the first one.
Sample Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output for the Sample Input
1
2
6
Example
Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output
1
2
6
Submitted Solution:
```
def check(word):
l = 0
step = 0
for w in word:
l += len(w)
if step == 0 or step == 2:
if l == 5:
step += 1
l = 0
elif l > 5:
return False
elif step == 1 or step == 3:
if l == 7:
step += 1
l = 0
elif l > 7:
return False
elif step == 4:
if l == 7:
return True
return False
while 1:
n = int(input())
if n == 0:
break
word = []
for _ in range(n):
word.append(input())
cnt = 0
while word != []:
cnt += 1
if check(word):
break
word.pop(0)
print(cnt)
```
Yes
| 86,501 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haiku. It is a sequence of words, each consisting of lowercase letters 'a' to 'z', and must satisfy the following condition:
> (The Condition for a Short Phrase)
> The sequence of words can be divided into five sections such that the total number of the letters in the word(s) of the first section is five, that of the second is seven, and those of the rest are five, seven, and seven, respectively.
The following is an example of a Short Phrase.
>
> do the best
> and enjoy today
> at acm icpc
>
In this example, the sequence of the nine words can be divided into five sections (1) "do" and "the", (2) "best" and "and", (3) "enjoy", (4) "today" and "at", and (5) "acm" and "icpc" such that they have 5, 7, 5, 7, and 7 letters in this order, respectively. This surely satisfies the condition of a Short Phrase.
Now, Short Phrase Parnassus published by your company has received a lot of contributions. By an unfortunate accident, however, some irrelevant texts seem to be added at beginnings and ends of contributed Short Phrases. Your mission is to write a program that finds the Short Phrase from a sequence of words that may have an irrelevant prefix and/or a suffix.
Input
The input consists of multiple datasets, each in the following format.
> n
> w1
> ...
> wn
>
Here, n is the number of words, which is a positive integer not exceeding 40; wi is the i-th word, consisting solely of lowercase letters from 'a' to 'z'. The length of each word is between 1 and 10, inclusive. You can assume that every dataset includes a Short Phrase.
The end of the input is indicated by a line with a single zero.
Output
For each dataset, output a single line containing i where the first word of the Short Phrase is wi. When multiple Short Phrases occur in the dataset, you should output the first one.
Sample Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output for the Sample Input
1
2
6
Example
Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output
1
2
6
Submitted Solution:
```
tanka = (5, 7, 5, 7, 7, 0)
words = list()
n = int()
def rec(step, itr, word):
if step == 5:
return True
if word == 0:
return rec(step + 1, itr, tanka[step + 1])
elif word < 0:
return False
return rec(step, itr + 1, word - words[itr])
while True:
n = int(input())
if n == 0:
break
words = [len(str(input())) for i in range(n)]
for i in range(n):
if rec(0, i, tanka[0]):
print(i + 1)
break
```
Yes
| 86,502 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haiku. It is a sequence of words, each consisting of lowercase letters 'a' to 'z', and must satisfy the following condition:
> (The Condition for a Short Phrase)
> The sequence of words can be divided into five sections such that the total number of the letters in the word(s) of the first section is five, that of the second is seven, and those of the rest are five, seven, and seven, respectively.
The following is an example of a Short Phrase.
>
> do the best
> and enjoy today
> at acm icpc
>
In this example, the sequence of the nine words can be divided into five sections (1) "do" and "the", (2) "best" and "and", (3) "enjoy", (4) "today" and "at", and (5) "acm" and "icpc" such that they have 5, 7, 5, 7, and 7 letters in this order, respectively. This surely satisfies the condition of a Short Phrase.
Now, Short Phrase Parnassus published by your company has received a lot of contributions. By an unfortunate accident, however, some irrelevant texts seem to be added at beginnings and ends of contributed Short Phrases. Your mission is to write a program that finds the Short Phrase from a sequence of words that may have an irrelevant prefix and/or a suffix.
Input
The input consists of multiple datasets, each in the following format.
> n
> w1
> ...
> wn
>
Here, n is the number of words, which is a positive integer not exceeding 40; wi is the i-th word, consisting solely of lowercase letters from 'a' to 'z'. The length of each word is between 1 and 10, inclusive. You can assume that every dataset includes a Short Phrase.
The end of the input is indicated by a line with a single zero.
Output
For each dataset, output a single line containing i where the first word of the Short Phrase is wi. When multiple Short Phrases occur in the dataset, you should output the first one.
Sample Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output for the Sample Input
1
2
6
Example
Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output
1
2
6
Submitted Solution:
```
while True :
n = int(input())
if(n == 0) :
break
else :
A = [5, 7, 5, 7, 7]
ans = 0
w = [len(input()) for i in range(n)]
for i in range(n) :
k = 0
s = 0
for j in range(i, n) :
s += w[j]
if(s == A[k]) :
s = 0
k += 1
if(k == 5) :
ans = i + 1
break
elif(s > A[k]) :
break
if(ans != 0) :
break
print(ans)
```
Yes
| 86,503 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haiku. It is a sequence of words, each consisting of lowercase letters 'a' to 'z', and must satisfy the following condition:
> (The Condition for a Short Phrase)
> The sequence of words can be divided into five sections such that the total number of the letters in the word(s) of the first section is five, that of the second is seven, and those of the rest are five, seven, and seven, respectively.
The following is an example of a Short Phrase.
>
> do the best
> and enjoy today
> at acm icpc
>
In this example, the sequence of the nine words can be divided into five sections (1) "do" and "the", (2) "best" and "and", (3) "enjoy", (4) "today" and "at", and (5) "acm" and "icpc" such that they have 5, 7, 5, 7, and 7 letters in this order, respectively. This surely satisfies the condition of a Short Phrase.
Now, Short Phrase Parnassus published by your company has received a lot of contributions. By an unfortunate accident, however, some irrelevant texts seem to be added at beginnings and ends of contributed Short Phrases. Your mission is to write a program that finds the Short Phrase from a sequence of words that may have an irrelevant prefix and/or a suffix.
Input
The input consists of multiple datasets, each in the following format.
> n
> w1
> ...
> wn
>
Here, n is the number of words, which is a positive integer not exceeding 40; wi is the i-th word, consisting solely of lowercase letters from 'a' to 'z'. The length of each word is between 1 and 10, inclusive. You can assume that every dataset includes a Short Phrase.
The end of the input is indicated by a line with a single zero.
Output
For each dataset, output a single line containing i where the first word of the Short Phrase is wi. When multiple Short Phrases occur in the dataset, you should output the first one.
Sample Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output for the Sample Input
1
2
6
Example
Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output
1
2
6
Submitted Solution:
```
def main():
while True:
n = int(input().strip())
if n == 0:
break
phrases = []
for _ in range(n):
word = input().strip()
phrases.append(word)
PHRASE_LEN = [5,7,5,7,7]
found_flag = False
for i in range(n):
acc_len = 0
phrase_idx = 0
for j in range(i, n):
acc_len += len(phrases[j])
if acc_len == PHRASE_LEN[phrase_idx]:
if phrase_idx == (len(PHRASE_LEN)-1):
found_flag = True
break
acc_len = 0
phrase_idx += 1
elif acc_len > PHRASE_LEN[phrase_idx]:
break
if found_flag:
print(i+1)
break
if __name__ == "__main__":
main()
~
~
~
```
No
| 86,504 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haiku. It is a sequence of words, each consisting of lowercase letters 'a' to 'z', and must satisfy the following condition:
> (The Condition for a Short Phrase)
> The sequence of words can be divided into five sections such that the total number of the letters in the word(s) of the first section is five, that of the second is seven, and those of the rest are five, seven, and seven, respectively.
The following is an example of a Short Phrase.
>
> do the best
> and enjoy today
> at acm icpc
>
In this example, the sequence of the nine words can be divided into five sections (1) "do" and "the", (2) "best" and "and", (3) "enjoy", (4) "today" and "at", and (5) "acm" and "icpc" such that they have 5, 7, 5, 7, and 7 letters in this order, respectively. This surely satisfies the condition of a Short Phrase.
Now, Short Phrase Parnassus published by your company has received a lot of contributions. By an unfortunate accident, however, some irrelevant texts seem to be added at beginnings and ends of contributed Short Phrases. Your mission is to write a program that finds the Short Phrase from a sequence of words that may have an irrelevant prefix and/or a suffix.
Input
The input consists of multiple datasets, each in the following format.
> n
> w1
> ...
> wn
>
Here, n is the number of words, which is a positive integer not exceeding 40; wi is the i-th word, consisting solely of lowercase letters from 'a' to 'z'. The length of each word is between 1 and 10, inclusive. You can assume that every dataset includes a Short Phrase.
The end of the input is indicated by a line with a single zero.
Output
For each dataset, output a single line containing i where the first word of the Short Phrase is wi. When multiple Short Phrases occur in the dataset, you should output the first one.
Sample Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output for the Sample Input
1
2
6
Example
Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output
1
2
6
Submitted Solution:
```
while True:
n = int(input())#文字列の量
if n == 0:
break
w = list()#文字用
for i in range(0, n):#入力
w.append(input())
for j in range(1, n+1):#始めの文字の場所
ck = 0
co = 0
p = 0
t = ""
for k in range(j-1,50):#５７５７７チェック用
#print(k)
if co == 0 or co == 2:#５の場所
if ck < 5:#五以下
#print("<")
ck = ck + len(w[k+p])#文字増やす
elif ck == 5:#ピッタリになったら
#print("==")
co = co + 1#次に移る
ck = 0
p = p-1
else:#オーバーしたら
#print(">")
break
else:
if ck < 7:
#print("<7")
ck = ck+len(w[k+p])
#print(" " ,ck)
elif ck == 7:
#print("==7")
co = co+1
ck = 0
p = p-1
if co == 5:
t = "fin"
break
else:
#print(">7")
break
print(j)
if t == "fin":
break
#print("over")
```
No
| 86,505 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Short Phrase
A Short Phrase (aka. Tanku) is a fixed verse, inspired by Japanese poetry Tanka and Haiku. It is a sequence of words, each consisting of lowercase letters 'a' to 'z', and must satisfy the following condition:
> (The Condition for a Short Phrase)
> The sequence of words can be divided into five sections such that the total number of the letters in the word(s) of the first section is five, that of the second is seven, and those of the rest are five, seven, and seven, respectively.
The following is an example of a Short Phrase.
>
> do the best
> and enjoy today
> at acm icpc
>
In this example, the sequence of the nine words can be divided into five sections (1) "do" and "the", (2) "best" and "and", (3) "enjoy", (4) "today" and "at", and (5) "acm" and "icpc" such that they have 5, 7, 5, 7, and 7 letters in this order, respectively. This surely satisfies the condition of a Short Phrase.
Now, Short Phrase Parnassus published by your company has received a lot of contributions. By an unfortunate accident, however, some irrelevant texts seem to be added at beginnings and ends of contributed Short Phrases. Your mission is to write a program that finds the Short Phrase from a sequence of words that may have an irrelevant prefix and/or a suffix.
Input
The input consists of multiple datasets, each in the following format.
> n
> w1
> ...
> wn
>
Here, n is the number of words, which is a positive integer not exceeding 40; wi is the i-th word, consisting solely of lowercase letters from 'a' to 'z'. The length of each word is between 1 and 10, inclusive. You can assume that every dataset includes a Short Phrase.
The end of the input is indicated by a line with a single zero.
Output
For each dataset, output a single line containing i where the first word of the Short Phrase is wi. When multiple Short Phrases occur in the dataset, you should output the first one.
Sample Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output for the Sample Input
1
2
6
Example
Input
9
do
the
best
and
enjoy
today
at
acm
icpc
14
oh
yes
by
far
it
is
wow
so
bad
to
me
you
know
hey
15
abcde
fghijkl
mnopq
rstuvwx
yzz
abcde
fghijkl
mnopq
rstuvwx
yz
abcde
fghijkl
mnopq
rstuvwx
yz
0
Output
1
2
6
Submitted Solution:
```
while True :
n = int(input())
if(n == 0) :
break
else :
A = [5, 7, 5, 7, 7]
ans = 0
w = [len(input()) for i in range(n)]
for i in range(n) :
k = 0
s = 0
for j in range(i, n) :
s += w[j]
if(s == A[k]) :
s = 0
k += 1
if(k == 5) :
ans = i + 1
break
elif(s > A[k]) :
break
if(ans != 0) :
break
print(ans)
```
No
| 86,506 |
Provide a correct Python 3 solution for this coding contest problem.
I have n tickets for a train with a rabbit. Each ticket is numbered from 0 to n − 1, and you can use the k ticket to go to p⋅ak + q⋅bk station.
Rabbit wants to go to the all-you-can-eat carrot shop at the station m station ahead of the current station, but wants to walk as short as possible. The stations are lined up at regular intervals. When using, how many stations can a rabbit walk to reach the store?
Input
1 ≤ n, m, a, b, p, q ≤ 1 000 000 000 000 (integer)
Output
Output the number of rabbits that can reach the store on foot at the minimum number of stations in one line.
Examples
Input
6 200 2 3 4 5
Output
1
Input
6 1 2 3 4 5
Output
1
"Correct Solution:
```
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def solve():
N, M, A, B, P, Q = map(int, readline().split())
ans = M
if A == B == 1:
v = P+Q
k = min(N, M // v)
ans = min(ans, M - k*v)
if k+1 <= N:
ans = min(ans, (k+1)*v - M)
else:
k = 0
V = []
va = 1; vb = 1
while k < N:
v = P*va + Q*vb
V.append(v)
if v > M:
break
va *= A; vb *= B
k += 1
def make(S):
s = {0}
for v in S:
t = set(s)
for e in s:
t.add(e + v)
s = t
return sorted(s)
L = len(V)
S0 = make(V[:L//2]); S1 = make(V[L//2:])
t = len(S1)-1
for s0 in S0:
while t > 0 and s0 + S1[t] > M:
t -= 1
if s0 + S1[t] <= M:
ans = min(ans, M - s0 - S1[t])
t = len(S1)-1
for s0 in S0:
while t > 0 and s0 + S1[t-1] >= M:
t -= 1
if s0 + S1[t] >= M:
ans = min(ans, s0 + S1[t] - M)
write("%d\n" % ans)
solve()
```
| 86,507 |
Provide a correct Python 3 solution for this coding contest problem.
I have n tickets for a train with a rabbit. Each ticket is numbered from 0 to n − 1, and you can use the k ticket to go to p⋅ak + q⋅bk station.
Rabbit wants to go to the all-you-can-eat carrot shop at the station m station ahead of the current station, but wants to walk as short as possible. The stations are lined up at regular intervals. When using, how many stations can a rabbit walk to reach the store?
Input
1 ≤ n, m, a, b, p, q ≤ 1 000 000 000 000 (integer)
Output
Output the number of rabbits that can reach the store on foot at the minimum number of stations in one line.
Examples
Input
6 200 2 3 4 5
Output
1
Input
6 1 2 3 4 5
Output
1
"Correct Solution:
```
def solve():
n,m,a,b,p,q = map(int,input().split())
if a==1 and b==1:
if (p+q)*n <= m:
return m - (p+q)*n
else:
k = m//(p+q)
return min(m-k*(p+q),(k+1)*(p+q)-m)
else:
ans = m
for i in range(min(n-1,40),-1,-1):
f = p*(a**i) + q*(b**i)
if m < f:
ans = min(ans, f-m)
else:
m -= f
ans = min(ans,m)
return ans
def main():
print(solve())
if __name__ == '__main__':
main()
```
| 86,508 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
def solve(n):
ans = 0
mp = {}
while (n >= 10):
s = str(n)
next = -1
for i in range(1, len(s)):
next = max(next, int(s[0:i])*int(s[i:]))
if next in mp:
ans = -1
break
mp[next] = True
n = next
ans += 1
return ans
def main():
q = int(input())
for i in range(q):
n = int(input())
print(solve(n))
main()
```
| 86,509 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
from math import log10
for i in range(int(input())):
n = int(input())
j = 0
while n >= 10:
n = max((n // (10**k)) * (n % (10**k)) for k in range(1, int(log10(n)) + 1))
j += 1
print(j)
```
| 86,510 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
#!/usr/bin/env python3
q = int(input())
for _ in range(q):
n = input()
for k in range(len(n)**2):
if len(n) == 1:
print(k)
break
n = str(max(int(n[:i]) * int(n[i:]) for i in range(1, len(n))))
```
| 86,511 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
# your code goes here
#times volume24 2424
Q=int(input())
for i in range(Q):
N=str(input())
c=0
while len(N)>1 and c<15:
M=0
for j in range(1,len(N)):
# print(N[:j])
l=int(N[:j])
r=int(N[j:])
l*=r
if M<l:
M=l
# print(M)
N=str(M)
c+=1
# print(N)
if c>=15:
d=[int(N)]
while len(N)>1 and c>=0 and c<50:
M=0
# print(d)
for j in range(1,len(N)):
# print(N[:j])
l=int(N[:j])
r=int(N[j:])
l*=r
if M<l:
M=l
# print(M)
k=0
while k<len(d) and M>d[k]:
k+=1
# print(k)
if k>=len(d):
k=-1
elif M==d[k]:
c=-1
d.insert(k,M)
N=str(M)
c+=1
# print(k)
print(c)
```
| 86,512 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
"かけざん"
"最大のものを取得して、一桁になるまでに操作を行う回数を答える"
def kakezan(n):
ret = 0
str_n = str(n)
digit_amount = len(str_n)
for i in range(digit_amount-1):
# print(str_n[:i+1])
# print(str_n[i+1:])
# print("")
ret = max(ret, int(str_n[:i+1])*int(str_n[i+1:]))
return ret
Q = int(input()) # 入力される整数の個数
N = [int(input()) for i in range(Q)]
for n in N:
cnt = 0
while n >= 10:
n = kakezan((n))
cnt += 1
print(cnt)
```
| 86,513 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
def calc(n):
if n>=10 and n<100:
return (n//10)*(n%10)
elif n>=100 and n<1000:
r1=(n//10)*(n%10)
r2=(n//100)*(n%100)
return max(r1,r2)
elif n>=1000 and n<10000:
r1=(n//10)*(n%10)
r2=(n//100)*(n%100)
r3=(n//1000)*(n%1000)
return max(r1,r2,r3)
elif n>=10000 and n<100000:
r1=(n//10)*(n%10)
r2=(n//100)*(n%100)
r3=(n//1000)*(n%1000)
r4=(n//10000)*(n%10000)
return max(r1,r2,r3,r4)
elif n>=100000 and n<1000000:
r1=(n//10)*(n%10)
r2=(n//100)*(n%100)
r3=(n//1000)*(n%1000)
r4=(n//10000)*(n%10000)
r5=(n//100000)*(n%100000)
return max(r1,r2,r3,r4,r5)
else:
r1=(n//10)*(n%10)
r2=(n//100)*(n%100)
r3=(n//1000)*(n%1000)
r4=(n//10000)*(n%10000)
r5=(n//100000)*(n%100000)
r6=(n//1000000)*(n%1000000)
return max(r1,r2,r3,r4,r5,r6)
n=int(input())
for i in range(n):
cnt=0
a=int(input())
while a>=10:
a=calc(a)
cnt+=1
print(cnt)
```
| 86,514 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
#!/usr/bin/env python3
from collections import defaultdict,deque
from heapq import heappush, heappop
from bisect import bisect_left, bisect_right
import sys, random, itertools, math
sys.setrecursionlimit(10**5)
input = sys.stdin.readline
sqrt = math.sqrt
def LI(): return list(map(int, input().split()))
def LF(): return list(map(float, input().split()))
def LI_(): return list(map(lambda x: int(x)-1, input().split()))
def II(): return int(input())
def IF(): return float(input())
def LS(): return list(map(list, input().split()))
def S(): return list(input().rstrip())
def IR(n): return [II() for _ in range(n)]
def LIR(n): return [LI() for _ in range(n)]
def FR(n): return [IF() for _ in range(n)]
def LFR(n): return [LI() for _ in range(n)]
def LIR_(n): return [LI_() for _ in range(n)]
def SR(n): return [S() for _ in range(n)]
def LSR(n): return [LS() for _ in range(n)]
mod = 1000000007
inf = float('INF')
#A
def A():
while 1:
n = II()
ans = 0
if n == 0:
break
i = 1
while i < n / 2:
tmp = 0
l = i
while tmp < n:
tmp += l
l += 1
if tmp == n:
ans += 1
i += 1
print(ans)
return
#B
def B():
def f(x):
tmp = 0
for i in range(len(x)-1):
x1 = int(x[:i+1])
x2 = int(x[i+1:])
tmp = max(tmp, x1 * x2)
return tmp
q = II()
for i in range(q):
ans = 0
n = II()
while n > 9:
ans += 1
n = f(str(n))
print(ans)
return
#C
def C():
return
#D
def D():
return
#E
def E():
R, C, K = LI()
n = II()
rc = LIR_(n)
fldr = [0 for _ in range(R)]
fldc = [0 for _ in range(C)]
for r, c in rc:
fldr[r] += 1
fldc[c] += 1
fldcs = fldc[::1]
fldcs.sort()
fldrs = fldr[::1]
fldrs.sort()
ans = 0
dr = defaultdict(int)
dc = defaultdict(int)
for k in range(R):
dr[fldr[k]] += 1
for k in range(C):
dc[fldc[k]] += 1
for k in range(K+1):
ans += dr[K - k] * dc[k]
for r, c in rc:
a = fldr[r] + fldc[c]
if a == K:
ans -= 1
elif a == K + 1:
ans += 1
print(ans)
return
#F
def F():
n, m = LI()
uvl = LIR_(m)
dist = [[inf] * n for _ in range(n)]
dist0 = defaultdict(int)
full = []
d = 0
for u, v, l in uvl:
if u == 0:
dist0[v] = l + 1
full.append(v)
d += 1
elif v == 0:
dist0[u] = l + 1
d += 1
full.append(u)
else:
l += 1
dist[u][v] = l
dist[v][u] = l
for i in range(n):
dist[i][i] = 0
for k in range(n):
for i in range(n):
for j in range(n):
dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j])
fulls = itertools.combinations(range(d), 2)
ans = inf
for a, b in fulls:
a, b = full[a], full[b]
tmp = dist0[a] + dist0[b] + dist[a][b]
ans = min(ans, tmp)
print(-1 if ans == inf else ans)
return
#G
def G():
s = S()
s = s[::-1]
M_count = s.count("M")
M_lis = [0] * M_count
M_count //= 2
tmp = 0
k = 0
for i in range(len(s)):
if s[i] == "+":
tmp += 1
elif s[i] == "-":
tmp -= 1
else:
M_lis[k] = tmp
k += 1
M_lis.sort()
print(-sum(M_lis[:M_count]) + sum(M_lis[M_count:]))
return
#H
def H():
def f(t):
return a * t + b * math.sin(c * t * math.pi)
a, b, c = LI()
ok = 99 // a + 1
ng = 0
while 1:
t = (ok + ng) / 2
ft = f(t)
if abs(ft - 100) <= 10 ** (-6):
print(t)
return
if ft > 100:
ok = t
if ft < 100:
ng = t
return
#Solve
if __name__ == '__main__':
B()
```
| 86,515 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
"Correct Solution:
```
from functools import reduce
g=lambda x,y:x*y
cv=lambda s:str(max([reduce(g,list(map(int,[s[:i],s[i:]]))) for i in range(1,len(s))]))
for _ in range(int(input())):
c=0
n=input()
s=set()
while 1:
if len(n)==1:break
if n in s:
c=-1
break
s.add(n)
n=cv(n)
c+=1
print(c)
```
| 86,516 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
def split(x):
assert(isinstance(x, int))
sx = str(x)
l = len(sx)
candidates = []
for idx in range(1, l):
first = sx[idx:]
candidates.append(int(sx[:idx]) * int(sx[idx:]))
if len(candidates) == 0:
return None
else:
return max(candidates)
def problem1():
Q = input()
answers = []
for _ in range(int(Q)):
N = int(input())
x = N
cnt = 0
while True:
next_x = split(x)
if next_x is None:
break
elif x == next_x:
cnt = -1
break
else:
cnt += 1
x = next_x
answers.append(str(cnt))
print('\n'.join(answers))
if __name__ == '__main__':
problem1()
```
Yes
| 86,517 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
def solve(dic, cnt, n):
if n < 10:
return cnt
if n in dic:
return -1
dic[n] = True
s = str(n)
max_score = 0
for i in range(1, len(s)):
a, b = int(s[:i]), int(s[i:])
max_score = max(max_score, a * b)
return solve(dic, cnt + 1, max_score)
q = int(input())
for _ in range(q):
dic = dict()
print(solve(dic, 0, int(input())))
```
Yes
| 86,518 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
def solve(N, cnt):
if len(str(N)) == 1:
return cnt
sN = str(N)
maxNum = 0
for i in range(1, len(sN)):
left = int(sN[0:i])
right = int(sN[i:])
maxNum = max(left * right, maxNum)
ret = solve(maxNum, cnt + 1)
return ret
Q = int(input())
for i in range(Q):
N = int(input())
ans = solve(N, 0)
print(ans)
```
Yes
| 86,519 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
import sys
from collections import defaultdict, Counter, deque
from itertools import accumulate, permutations, combinations
from operator import itemgetter
from bisect import bisect_left, bisect_right, bisect
from heapq import heappop, heappush
from fractions import gcd
from math import ceil, floor, sqrt, cos, sin, pi
from copy import deepcopy
def main():
Q = int(input())
for _ in range(Q):
n = input()
count = 0
while len(n) > 1:
if count == 1000000:
count = -1
break
tmp = 0
for i in range(1,len(n)):
tmp = max(tmp, int(n[:i])*int(n[i:]))
count += 1
n = str(tmp)
print(count)
if __name__ == '__main__':
main()
```
Yes
| 86,520 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
from math import log10
for i in range(int(input())):
n = int(input())
j = 0
while n >= 10:
n = max((n / (10**k)) * (n % (10**k))
for k in range(1, int(log10(n)) + 1))
j += 1
print(j)
```
No
| 86,521 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
for i in range(int(input())):
n = int(input())
j = 0
while n >= 10:
L = [(n // (10**k)) * (n % (10**k))
for k in range(1, int(log10(n)) + 1)]
n = max(L)
j += 1
print(j)
```
No
| 86,522 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
# your code goes here
#times volume24 2424
Q=int(input())
for i in range(Q):
N=str(input())
c=0
while len(N)>1 and c<15:
M=0
for j in range(1,len(N)):
# print(N[:j])
l=int(N[:j])
r=int(N[j:])
l*=r
if M<l:
M=l
# print(M)
N=str(M)
c+=1
# print(N)
if c>=15:
d=[int(N)]
while len(N)>1 and c>=0 and c<50:
M=0
for j in range(1,len(N)):
# print(N[:j])
l=int(N[:j])
r=int(N[j:])
l*=r
if M<l:
M=l
# print(M)
k=0
while k<len(d) and M<d[k]:
k+=1
# print(d)
if k>=len(d):
k=-1
elif M==d[k]:
c=-1
d.insert(k,M)
N=str(N)
# print(N)
print(c)
```
No
| 86,523 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is an elementary school student who has just learned multiplication. Somehow, he likes multiplication, so when he sees numbers, he wants to multiply. He seems to like to do the following for integers greater than or equal to 0. (Processing flow)
* Procedure 1. If a certain integer n greater than or equal to 0 is a single digit in decimal notation, the process ends there. Otherwise go to step 2
* Step 2. When an integer n of 10 or more is displayed in decimal, it is possible to break it into two numbers by inserting a break between some digits (for example, 2012-> 20, 12). For possible cutting methods like this, multiply the two obtained numbers and set the largest one as the next n, and return to step 1. (For details, see "Supplementary information on step 2" below.)
Taro seems to like this process, but I can't predict how many times step 2 should be repeated, and I think it may have to be done infinitely. So I asked Taro's older brother and college student how many times this step 2 should be done for an integer n greater than or equal to 0.
Your job is to give Q integers greater than or equal to 0 N1 .. NQ, so find out how many steps 2 will be performed on each integer before the end of the process. If you need an infinite number of steps, output -1.
Supplement on step 2
You should also take into account those that have a 0 at the beginning of the digit as a result of the isolation.
For example, when n = 1024, 1 * 024, 10 * 24, and 102 * 4 are calculated as 24,240,408, respectively, so 408 is selected and this is the next n.
Constraints
> 1 ≤ Q ≤ 100
> 0 ≤ Ni ≤ 106
>
Input
> Q
> N1
> N2
> ...
> NQ
>
* Q represents the number of integers greater than or equal to 0 given
* Ni is an integer greater than or equal to 0 that Taro is interested in, and represents the i-th one.
Output
Output Q integers separated by line breaks
> R1
> R2
> ..
> RQ
>
* Ri represents the number of times step 2 is executed before the processing is completed for Ni.
* Ri is -1 if step 2 needs to be performed infinitely for Ni
Examples
Input
3
9
99
123
Output
0
2
3
Input
2
999999
1000000
Output
12
1
Submitted Solution:
```
for _ in range(int(input())):
n=int(input())
a=0;b=[]
while n//10:
a+=1
b+=[n]+b
x=1;s=m=0
while n:
s+=x*(n%10)
n//=10
x*=10
m=max(s*n,m)
n=m
if b[-1]==n:print(-1);break
else:print(a)
```
No
| 86,524 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
while 1:
n=int(input())
if n==0:break
a=0
s=input().split()
for i in range(0,len(s)-1,2):
s[i]+=s[i+1]
if(('lu' in s[i] and 'ru' in s[i])or('ld' in s[i] and 'rd' in s[i])):a+=1
print(a)
```
| 86,525 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
while True:
n = int(input())
if n==0:
break
f = list(input().split())
cnt = 0
rf = 0
lf = 0
foot = 0
for i in range(n):
if lf==0 and f[i]=="lu":
lf = 1
elif rf==0 and f[i]=="ru":
rf = 1
if foot==0 and lf==1 and rf==1:
cnt += 1
foot = 1
if lf==1 and f[i]=="ld":
lf = 0
elif rf==1 and f[i]=="rd":
rf = 0
if foot==1 and lf==0 and rf==0:
cnt += 1
foot = 0
print(cnt)
```
| 86,526 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**3
eps = 1.0 / 10**10
mod = 10**9+7
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():
rr = []
while True:
n = I()
if n == 0:
break
a = LS()
r = 0
for i in range(len(a)//2):
if a[i*2][1] == a[i*2+1][1]:
r += 1
rr.append(r)
return '\n'.join(map(str, rr))
print(main())
```
| 86,527 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
def main():
while True:
n = int(input())
if n == 0:
exit()
f = [s for s in input().split()]
pm = 'd'
cnt = 0
for m in f:
if m[1] == pm:
cnt += 1
pm = m[1]
print(cnt)
if __name__ == '__main__':
main()
```
| 86,528 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
DOWN = 0
UP = 1
MOVE_LIST = ["lu","ru","ld","rd"]
def get_input():
input_data = int(input())
return input_data
def get_data_list():
data_list = input().split()
return data_list
class Manager:
def __init__(self, move_num, record_list):
self.move_num = move_num
self.record_list = record_list
self.count = 0
self.right_status = DOWN
self.left_status = DOWN
self.kazu_status = DOWN
def watach_move(self):
for move in self.record_list:
if move == "lu":
self.left_status = UP
elif move == "ru":
self.right_status = UP
elif move == "ld":
self.left_status = DOWN
else:
self.right_status = DOWN
self.counter()
def counter(self):
if self.left_status == self.right_status != self.kazu_status:
self.kazu_status = self.left_status
self.count += 1
if __name__ == "__main__":
while True:
move_num = get_input()
if move_num == 0:
break
record_list = get_data_list()
manager = Manager(move_num, record_list)
manager.watach_move()
print(manager.count)
```
| 86,529 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
def ll(char, f):
if char == "l":
return not f
return f
def rr(char, f):
if char == "r":
return not f
return f
while True:
N = int(input())
if N == 0:
break
F = list(input().split())
c = 0
lFalg = False
rFalg = False
before = F[0]
lFalg = ll(F[0][0], lFalg)
rFalg = rr(F[0][0], rFalg)
for i in range(1, len(F)):
if not lFalg == rFalg:
if not before[0] == F[i][0]:
c += 1
lFalg = ll(F[i][0], lFalg)
rFalg = rr(F[i][0], rFalg)
before = F[i]
print(int(c))
```
| 86,530 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
while(True):
n = input()
if n == '0': break
line = input()
qs = line.split(" ")
up = 0
down = 0
cnt = 0
for q in qs:
if q == "lu" or q == "ru" :
up += 1
down = 0
else:
down += 1
up = 0
if up==2 or down == 2:
cnt += 1
print(cnt)
```
| 86,531 |
Provide a correct Python 3 solution for this coding contest problem.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
"Correct Solution:
```
def solve(n):
ops = input().split()
states = [0 for i in range(n + 1)]
ans = 0
for i in range(n):
if ops[i] == "lu": states[i + 1] = states[i] + 1
elif ops[i] == "ru": states[i + 1] = states[i] + 2
elif ops[i] == "ld": states[i + 1] = states[i] - 1
else: states[i + 1] = states[i] - 2
if i >= 1 and (states[i - 1],states[i + 1]) in [(0,3),(3,0)]:
ans += 1
print(ans)
while True:
n = int(input())
if n == 0: break
solve(n)
```
| 86,532 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
Submitted Solution:
```
def main():
N = int(input())
answer = []
while N != 0:
cmd = [i for i in input().split()]
ans = 0
g_flag = True
p = ["ld", "rd"]
for c in cmd:
if c[0] == "l":
p[0] = c
else:
p[1] = c
if g_flag and p[0] == "lu" and p[1] == "ru":
g_flag = False
ans += 1
if not g_flag and p[0] == "ld" and p[1] == "rd":
g_flag = True
ans += 1
answer.append(ans)
N = int(input())
print(*answer,sep="\n")
if __name__ == '__main__':
main()
```
Yes
| 86,533 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
Submitted Solution:
```
ansli=[]
while 1:
n=input()
if n=="0":
break
a=input().split()
up=0
down=1
lu=0
ru=0
ld=0
rd=0
count=0
for i in a:
if i=="ru":
ru=1
rd=0
elif i=="lu":
lu=1
ld=0
elif i=="rd":
rd=1
ru=0
elif i=="ld":
ld=1
lu=0
if ru==1 and lu==1 and down==1:
count+=1
down=0
up=1
elif rd==1 and ld==1 and up==1:
count+=1
down=1
up=0
ansli.append(count)
#print(count)
for i in ansli:
print(i)
```
Yes
| 86,534 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
Submitted Solution:
```
while True:
n = int(input())
if n == 0:
break
step = list(input().split())
l = r = 0
ne = 1
cnt = 0
for mov in step:
if mov == "lu":
l = 1
elif mov == "ru":
r = 1
elif mov == "ld":
l = 0
else:
r = 0
if l == r == ne:
cnt += 1
ne = (ne + 1) % 2
print(cnt)
```
Yes
| 86,535 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
Submitted Solution:
```
Set = [("lu", "ru"), ("ru","lu"), ("ld","rd"), ("rd","ld")]
while True :
n = int(input())
if(n == 0) :
break
else :
F = list(map(str, input().split()))
cnt = 0
while(len(F) > 1) :
if((F[0], F[1]) in Set) :
cnt += 1
del F[0 : 2]
else :
del F[0]
print(cnt)
```
Yes
| 86,536 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Step up and down
Kazuki, commonly known as Kerr, who attends JAG University, was invited by your friend this summer to participate in the ICPC (International Collegiate Potchari Contest). ICPC is a sports contest and requires a high degree of athletic ability. However, Mr. Kerr was always in front of the computer, and he was so lacking in exercise that he was tired even if he moved a little. Therefore, Kerr decided to start an easy-to-start exercise, "stepping up and down," as the first step to achieve good results with ICPC.
As the name suggests, stepping up and down is a simple exercise that simply repeats going up and down between the step and the floor. However, in stepping up and down, the effect cannot be obtained unless the feet are raised and lowered correctly. Correct ascent and descent is the movement of the foot that satisfies either of the following two types.
* From the state where both feet are on the floor, the left foot and the right foot are raised on the stepping stone, and both feet are on the stepping stone. Either the left foot or the right foot may be raised first.
* From the state where both feet are on the platform, the left foot and the right foot are lowered to the floor, and both feet are on the floor. Either the left foot or the right foot may be lowered first.
As can be seen from the above, raising and lowering only one leg continuously from the state of being on the floor or stepping stone does not result in correct raising and lowering. In the stepping up / down movement, when any of the above correct up / down movements is satisfied, it is counted as one time, and the larger the count number, the more effective the effect can be obtained. Note that even if you don't go back and forth between the floor and the platform, it counts as one only one way.
You want your teammate, Kerr, to be as strong as possible. So you decided to write a program and check if Kerr was skipping the step up and down. Since the information of the foot that Kerr moved by going up and down the platform is given, find the number of times that he went up and down correctly. However, it is assumed that both feet are on the floor before going up and down the platform.
Input
The input consists of multiple data sets, and the number of data sets contained in one input is 150 or less. The format of each data set is as follows.
> $ n $
> $ f_1 $ $ f_2 $ ... $ f_n $
In the first line, the integer $ n $ ($ 1 \ le n \ le 100 $) representing the number of times the foot is moved is given. In the second line, $ f_i $, which is a character string representing the movement of the foot, is given in chronological order by $ n $, separated by spaces. $ f_i $ is one of the following four types of character strings.
* "lu": Raise your left foot to the platform.
* "ru": Raise your right foot to the platform.
* "ld": Lower your left foot to the floor.
* "rd": Lower your right foot to the floor.
It can be assumed that no action is input that lowers the foot on the floor or raises the foot on the platform.
The line where $ n $ is 0 indicates the end of input. Do not process this data.
Output
For each dataset, output the number of correct steps up and down in one line. Note that if you do not output a line break at the end of each line, or if you output unnecessary characters, it will be judged as an incorrect answer.
Sample Input
Four
lu ru ld rd
Four
lu ld lu ru
1
lu
Ten
ru lu ld rd ru rd ru lu lu rd ld
0
Output for Sample Input
2
1
0
Four
Example
Input
4
lu ru ld rd
4
lu ld lu ru
1
lu
10
ru lu ld rd ru rd ru lu rd ld
0
Output
2
1
0
4
Submitted Solution:
```
def main():
while True:
n = int(input())
if n == 0:
exit()
f = [s for input().split()]
pm = 'd'
cnt = 0
for m in f:
if m[1] == pm:
cnt += 1
pm = m[1]
print(cnt)
if __name__ == '__main__':
main()
```
No
| 86,537 |
Provide a correct Python 3 solution for this coding contest problem.
problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $.
It should be noted that such a pair always exists.
Example
Input
5
1 2 4 7 10
Output
2 10
"Correct Solution:
```
def solve():
n = int(input())
li = [int(_) for _ in input().split()]
for i in range(n):
for j in range(i+1, n):
if abs(li[i]-li[j]) % (n-1) == 0:
print(str(li[i]) + " " + str(li[j]))
return
solve()
```
| 86,538 |
Provide a correct Python 3 solution for this coding contest problem.
problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $.
It should be noted that such a pair always exists.
Example
Input
5
1 2 4 7 10
Output
2 10
"Correct Solution:
```
N = int(input())
a = [int(x) for x in input().split()]
x, y = -1, -1
for i in range(N) :
for j in range(N) :
if i != j and abs(a[i] - a[j]) % (N - 1) == 0 :
x, y = i, j
print(a[x], a[y])
```
| 86,539 |
Provide a correct Python 3 solution for this coding contest problem.
problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $.
It should be noted that such a pair always exists.
Example
Input
5
1 2 4 7 10
Output
2 10
"Correct Solution:
```
import itertools
n = int(input())
num = list(map(int, input().split()))
for comb in itertools.combinations(num, 2):
diff = abs(comb[0] - comb[1])
if diff % (n-1) == 0:
print(comb[0], comb[1])
break
```
| 86,540 |
Provide a correct Python 3 solution for this coding contest problem.
problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $.
It should be noted that such a pair always exists.
Example
Input
5
1 2 4 7 10
Output
2 10
"Correct Solution:
```
n=int(input())
num=list(map(int,input().split()))
num.sort()
flag=0
for i in range(n):
if flag==1:break
for j in range(1,n-i):
if flag==1:break
elif (num[i+j]-num[i])%(n-1)==0:
print(num[i],num[i+j])
flag=1
```
| 86,541 |
Provide a correct Python 3 solution for this coding contest problem.
problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $.
It should be noted that such a pair always exists.
Example
Input
5
1 2 4 7 10
Output
2 10
"Correct Solution:
```
import itertools
N = int(input())
num = list(map(int, input().split()))
a = itertools.combinations(num, 2)
for i, j in a:
if abs(i - j) % (N-1) == 0:
print(i , j)
break
```
| 86,542 |
Provide a correct Python 3 solution for this coding contest problem.
problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $.
It should be noted that such a pair always exists.
Example
Input
5
1 2 4 7 10
Output
2 10
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
a.sort()
for i in a:
for j in a:
if abs(i-j)%(n-1) == 0 and i != j:
print(i, j)
quit()
```
| 86,543 |
Provide a correct Python 3 solution for this coding contest problem.
problem
Given $ N $ different natural numbers $ a_i $. I decided to make a pair by choosing a different natural number from the given natural numbers. Output one pair that can be created with a value difference that is a multiple of $ N -1 $.
It should be noted that such a pair always exists.
Example
Input
5
1 2 4 7 10
Output
2 10
"Correct Solution:
```
def main():
n = int(input())
a = list(map(int,input().split()))
for i in a:
for j in a:
if(i != j and abs(i-j) % (n-1) == 0):
print(i,j)
return 0
main()
```
| 86,544 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
times = 0
for i in range(N):
minj = i
for j in range(i, N):
if A[j] < A[minj]:
minj = j
if minj != i:
A[i], A[minj] = A[minj], A[i]
times += 1
print(" ".join(map(str, A)))
print(times)
```
| 86,545 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
i=input
N=int(i())
A=list(map(int,i().split()))
r=range
c=0
for i in r(N):
m=i
for j in r(i,N):
if A[j] < A[m]:m=j
if i!=m:A[i],A[m]=A[m],A[i];c+=1
print(*A)
print(c)
```
| 86,546 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
N = int(input())
A = [int(x) for x in input().split(" ")]
swap_count=0
for i in range(N):
minj = i
for j in range(i, N):
if A[j] < A[minj]:
minj = j
if i != minj:
A[i], A[minj] = A[minj], A[i]
swap_count += 1
print(*A)
print(swap_count)
```
| 86,547 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
c=0
n=int(input())
l=list(map(int, input().split()))
for i in range(n-1):
m=i
for j in range(i,n):
if l[j] < l[m]:
m=j
if i != m:
t=l[i]
l[i]=l[m]
l[m]=t
c+=1
print(*l)
print(c)
```
| 86,548 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
minv = A[0]
sw = 0
for i in range(N):
minv = min(A[i:])
mini = A[i:].index(minv) + i
if A[i] > minv:
temp = A[i]
A[i] = minv
A[mini] = temp
sw += 1
print(*A)
print(sw)
```
| 86,549 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
n, a, c = int(input()), list(map(int, input().split())), 0
for i in range(n):
minj = i
for j in range(i, n):
if a[j] < a[minj]:
minj = j
if minj != i:
a[i], a[minj], c = a[minj], a[i], c + 1
print(*a)
print(c)
```
| 86,550 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
count = 0
for i in range(n):
mini = i
for j in range(i, n):
if a[j] < a[mini]:
mini = j
if i != mini:
a[i], a[mini] = a[mini], a[i]
count += 1
print(*a)
print(count)
```
| 86,551 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
"Correct Solution:
```
n = int(input())
a = [int(i) for i in input().split()]
cnt = 0
for i in range(n):
m = i
for j in range(i + 1, n):
if a[j] < a[m]:
m = j
if not m == i:
a[m], a[i] = a[i], a[m]
cnt += 1
print(' '.join(map(str, a)))
print(cnt)
```
| 86,552 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
N=int(input())
A=[int(i) for i in input().split()]
count=0
for i in range(N):
min=i
for j in range(i,N):
if A[j] < A[min]:
min=j
if i<min:
count+=1
A[i],A[min]=A[min],A[i]
for k in range(N):print(A[k],end=' \n'[k+1==N])
print(count)
```
Yes
| 86,553 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
N = int(input())
a = list(map(int, input().split()))
count = 0
for i in range(N):
minj = i
for j in range(i, N):
if a[j] < a[minj]:
minj = j
if a[i] != a[minj]:
a[minj], a[i] = a[i], a[minj]
count += 1
print(*a)
print(count)
```
Yes
| 86,554 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split()))
c=0
for i in range(n):
m=i
for j in range(i,n):
if a[m]>a[j]:m=j
if i!=m:a[m],a[i]=a[i],a[m];c+=1
print(*a)
print(c)
```
Yes
| 86,555 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
N=int(input())
A=list(map(int,input().split()))
count=0
for i in range(N):
minj = i
for j in range(i,N):
if A[j] < A[minj]:
minj=j
if i!=minj:
count+=1
R=A[i]
A[i]=A[minj]
A[minj]=R
Z=[str(a) for a in A]
Z=" ".join(Z)
print(Z)
print(count)
```
Yes
| 86,556 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
n = int(input())
a = list(map(int,input()))
c = 0
min = 9
for i in range(0,n):
minj = i
for j in range(i+1,n):
if a[j] < a[minj]:
minj = j
if(i != minj):
a[i],a[minj] = a[minj],a[i]
c += 1
print(*a)
print(c)
```
No
| 86,557 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
# -*- coding: utf-8 -*-
N = int(input())
A = list(map(int, input().split()))
count = 0
for i in range(N):
minj = i
for j in range(i, N):
if A[j] < A[minj]:
minj = j
A[i], A[minj] = A[minj], A[i]
count += 1
for i in range(N):
if i == N - 1:
print("{0}".format(A[i]))
else:
print("{0} ".format(A[i]), end="")
print(count)
```
No
| 86,558 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
N = int(input())
A = list(map(int, input().split()))
count = 0
for i in range(0, N-1):
minj = i
for j in range(i, N-1):
if (A[j] < A[minj]):
minj = j
A[i], A[minj] = A[minj], A[i]
count += 1
print(*A)
print(count)
```
No
| 86,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program of the Selection Sort algorithm which sorts a sequence A in ascending order. The algorithm should be based on the following pseudocode:
SelectionSort(A)
1 for i = 0 to A.length-1
2 mini = i
3 for j = i to A.length-1
4 if A[j] < A[mini]
5 mini = j
6 swap A[i] and A[mini]
Note that, indices for array elements are based on 0-origin.
Your program should also print the number of swap operations defined in line 6 of the pseudocode in the case where i ≠ mini.
Constraints
1 ≤ N ≤ 100
Input
The first line of the input includes an integer N, the number of elements in the sequence.
In the second line, N elements of the sequence are given separated by space characters.
Output
The output consists of 2 lines.
In the first line, please print the sorted sequence. Two contiguous elements of the sequence should be separated by a space character.
In the second line, please print the number of swap operations.
Examples
Input
6
5 6 4 2 1 3
Output
1 2 3 4 5 6
4
Input
6
5 2 4 6 1 3
Output
1 2 3 4 5 6
3
Submitted Solution:
```
N = int(input())
A = [int(e) for e in input().split()]
def selection_sort(A, N):
steps = 0
for i in range(0, N):
minj = i
for j in range(i, N):
if A[minj] > A[j]:
minj = j
steps += 1
A[minj], A[i] = A[i], A[minj]
print(A)
print(steps)
return A
selection_sort(A, N)
```
No
| 86,560 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
all = [suit + ' ' + str(rank) for suit in 'SHCD' for rank in range(1, 14)]
for _ in range(int(input())):
all.remove(input())
for card in all:
print(card)
```
| 86,561 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
cards = []
for suit in ['S', 'H', 'C', 'D']:
for i in range(13):
cards.append(' '.join([suit, str(i + 1)]))
N = int(input())
for _ in range(N):
cards.remove(input())
for card in cards:
print(card)
```
| 86,562 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
n = int(input())
a = [input() for i in range(n)]
for x in 'SHCD':
for y in range(1, 14):
z = '{} {}'.format(x, y)
if z not in a:
print(z)
```
| 86,563 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
num = int(input())
cards = [ (design, rank) for design in ['S','H','C','D'] for rank in range(1,14) ]
for i in range(num):
design, rank = input().split()
cards.remove((design, int(rank)))
for (design, rank) in cards:
print(design, rank)
```
| 86,564 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
c=[s+' '+str(i)for s in'SHCD'for i in range(1,14)]
for _ in[0]*int(input()):c.remove(input())
if c:print(*c,sep='\n')
```
| 86,565 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
P = []
for X in "SHCD":
for i in range(1, 13+1):
P.append("{} {}".format(X, i))
n = int(input())
for _ in range(n):
c = input()
P.remove(c)
for c in P:
print(c)
```
| 86,566 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
cards = []
for i in ['S','H','C','D']:
for j in range(1, 14):
cards.append(i + " " + str(j))
N = int(input())
for i in range(N):
cards.remove(input())
for i in range(len(cards)):
print (cards[i])
```
| 86,567 |
Provide a correct Python 3 solution for this coding contest problem.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
"Correct Solution:
```
N = int(input())
cards = []
for i in range(N):
s,r = input().split()
cards.append((s,int(r)))
for s,r in [(s,r) for s in 'SHCD' for r in range(1,14) if (s,r) not in cards]:
print(s, r)
```
| 86,568 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
cards = [
"{0} {1}".format(s, r)
for s in ('S', 'H', 'C', 'D')
for r in range(1, 13 + 1)
]
count = int(input())
for n in range(count):
card = input()
cards.remove(card)
for n in cards:
print(n)
```
Yes
| 86,569 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
cards = [(e, str(n)) for e in "SHCD" for n in range(1, 13+1)]
n = int(input())
for _ in range(n):
card = tuple(input().split())
cards.remove(card)
for card in cards:
print(*card)
```
Yes
| 86,570 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
a = ['S','H','C','D']
b =[]
for i in range(4):
for j in range(1,14):
b.append(str(a[i])+' '+str(j))
n = int(input())
for i in range(n):
c = input()
b.remove(c)
for i in range(len(b)):
print(b[i])
```
Yes
| 86,571 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
n = int(input())
s = "SHCD"
cards = [[0] * 13 for i in range(4)]
for i in range(n):
a, b = input().split()
cards[s.find(a)][int(b)-1] = 1
for i in range(4):
for j in range(13):
if cards[i][j] == 0:
print(s[i], j+1)
```
Yes
| 86,572 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
ans = []
for i in range(4):
for j in range(13):
ans.append("SHCD"[i] + " " + str(j + 1))
n = int(input())
for i in range(n):
a = input()
ans.remove(a)
print("\n".join(ans))
```
No
| 86,573 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
#!/usr/bin/python
n = int(input())
card = [[0 for i in range(13)] for i in range(4)]
print(len(card[0]))
for i in range(n):
a,b = (i for i in input().split())
b = int(b)-1
if a == 'S':
card[0][b] = 1
elif a == 'H':
card[1][b] = 1
elif a == 'C':
card[2][b] = 1
elif a == 'D':
card[3][b] = 1
for i in range(4):
for j in range(13):
if card[i][j] == 0:
if i == 0:
print('S ', end = '')
elif i == 1:
print('H ', end = '')
elif i == 2:
print('C ', end = '')
elif i == 3:
print('D ', end = '')
print(str(j + 1))
```
No
| 86,574 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
from collections import OrderedDict
cards = OrderedDict()
cards['S'] = set()
cards['H'] = set()
cards['D'] = set()
cards['C'] = set()
n = int(input())
for _ in range(n):
suit, num = input().split()
num = int(num)
cards[suit].add(num)
for suit, nums in cards.items():
for num in range(1,14):
if num not in nums:
print(suit, num)
```
No
| 86,575 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro is going to play a card game. However, now he has only n cards, even though there should be 52 cards (he has no Jokers).
The 52 cards include 13 ranks of each of the four suits: spade, heart, club and diamond.
Note
解説
Input
In the first line, the number of cards n (n ≤ 52) is given.
In the following n lines, data of the n cards are given. Each card is given by a pair of a character and an integer which represent its suit and rank respectively. A suit is represented by 'S', 'H', 'C' and 'D' for spades, hearts, clubs and diamonds respectively. A rank is represented by an integer from 1 to 13.
Output
Print the missing cards. The same as the input format, each card should be printed with a character and an integer separated by a space character in a line. Arrange the missing cards in the following priorities:
* Print cards of spades, hearts, clubs and diamonds in this order.
* If the suits are equal, print cards with lower ranks first.
Example
Input
47
S 10
S 11
S 12
S 13
H 1
H 2
S 6
S 7
S 8
S 9
H 6
H 8
H 9
H 10
H 11
H 4
H 5
S 2
S 3
S 4
S 5
H 12
H 13
C 1
C 2
D 1
D 2
D 3
D 4
D 5
D 6
D 7
C 3
C 4
C 5
C 6
C 7
C 8
C 9
C 10
C 11
C 13
D 9
D 10
D 11
D 12
D 13
Output
S 1
H 3
H 7
C 12
D 8
Submitted Solution:
```
for i in range(52):
for j in range(1,5):
for k in range(1,14):
cardlist[i] = [j, k]
luckcard = []
num = int(input())
for i in range(num):
card[i] = [int(x) for x in input().split() if x.isdigit()]
count = 1
while True:
if card[i] == cardlist[count]:
break
else:
luckcard.append(card[i])
count += 1
luckcard.replace("S","0").replace("H","1").replace("C","2").replace("D","3")
luckcard.sort()
for i in range(52-n):
luckcard[i][0].replace("0","S").replace("1","H").replace("2","C").replace("3","D")
print("{0} {1}".format(luckcard[0],luckcard[1]))
```
No
| 86,576 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
d=dict()
for i in a:
if(i in d):
d[i]+=1
else:
d[i]=1
maxi=0
for i in d:
maxi=max(maxi,d[i])
print(maxi)
```
| 86,577 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
num=int(input())
arr=input().split()
dicti={}
for k in range (0,len(arr)):
l=int(arr[k])
if l in dicti.keys():
dicti[l]+=1
else:
dicti[l]=1
max_val=0
for key in dicti.keys():
max_val=max(max_val,dicti[key])
print(max_val)
```
| 86,578 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
# print("Input n")
n = int(input())
times = [0 for i in range(101)]
# print("Input all the coins")
a = [int(x) for x in input().split()]
for x in a:
times[x] += 1
print(max(times))
```
| 86,579 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
n=int(input())
l=list(map(int,input().split()))
c1=1
for i in range(n):
c=1
for j in range(i+1,n):
if l[i]==l[j]:
c=c+1
if c>c1:
c1=c
print(c1)
```
| 86,580 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
from math import*
from fractions import gcd
import sys
from audioop import reverse
def main():
n=int(input())
x=input()
x=x.split(' ')
a=[]
i=1
while(i<=102):
a.append(0)
i+=1
for c in x:
a[int(c)]+=1;
ans=-10000000
for c in a:
if(c>ans):
ans=c
print(ans)
if __name__ == '__main__':main()
```
| 86,581 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
from collections import Counter
count = int(input())
a = [int(x) for x in input().split()]
c = Counter(a)
maximum = max(c.values())
print(maximum)
```
| 86,582 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
#In the name of GOD!
n = int(input())
a = list(map(int, input().split()))
num = [0] * 110
mx = 0
for i in a:
num[i] += 1
mx = max(mx, num[i])
print(mx)
```
| 86,583 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Tags: implementation
Correct Solution:
```
input()
l = list(map(int, input().split()))
print(max([l.count(now) for now in l]))
```
| 86,584 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
from collections import Counter
print(Counter((input()[0:0] + input()).split() ).most_common()[0][1])
```
Yes
| 86,585 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
n = int(input())
coins = [int(x) for x in input().split()]
coins = sorted(coins)
count = 1
m_count = 1
for i in range(n-1):
if coins[i] == coins[i+1]:
count += 1
else:
count = 1
if count > m_count:
m_count = count
print(m_count)
```
Yes
| 86,586 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
n=int(input())
arr=[int(i) for i in input().split()]
x=list(map(lambda x:arr.count(x),arr))
print(max(x))
```
Yes
| 86,587 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
first_line = input()
second_line = input()
n = int(first_line)
coins = second_line.split()
min_used = 1
for i in range(0, n):
count = 1
current = coins[i]
for j in range(i+1, n):
if coins[j] == current:
count += 1
if count > min_used:
min_used = count
print(min_used)
```
Yes
| 86,588 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
n= int(input())
a = str(input())
copy=int(0)
for i in range(0,n):
for x in range(i+1,n):
if a[i] == a[x]:
copy=copy+1
if copy != 0:
print((copy+1)//2)
else:
print(1)
```
No
| 86,589 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
#http://codeforces.com/contest/1003/problem/0
n=int(input())
c=list(map(int,input().split()))
A=list(set(c))
if len(A)==1 or len(A)==len(c):
ans=1
else:
ans=2
print(ans)
```
No
| 86,590 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
n= int(input())
a = str(input())
copy=int(0)
for i in range(0,n):
for x in range(i+1,n):
if a[i] == a[x]:
copy=copy+1
print((copy+1)//2)
```
No
| 86,591 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Polycarp has n coins, the value of the i-th coin is a_i. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array a = [1, 2, 4, 3, 3, 2], he can distribute the coins into two pockets as follows: [1, 2, 3], [2, 3, 4].
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 100) — the number of coins.
The second line of the input contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100) — values of coins.
Output
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Examples
Input
6
1 2 4 3 3 2
Output
2
Input
1
100
Output
1
Submitted Solution:
```
num = int(input())
l = list(map(int,input().split()))
flag = 0
for i in range(num-1) :
for j in range(i,num) :
if l[i] == l[j] :
flag = 1
break
if flag == 1 :
break
if flag == 1 :
print("2")
else :
print("1")
```
No
| 86,592 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a chessboard of size n × n. It is filled with numbers from 1 to n^2 in the following way: the first ⌈ (n^2)/(2) ⌉ numbers from 1 to ⌈ (n^2)/(2) ⌉ are written in the cells with even sum of coordinates from left to right from top to bottom. The rest n^2 - ⌈ (n^2)/(2) ⌉ numbers from ⌈ (n^2)/(2) ⌉ + 1 to n^2 are written in the cells with odd sum of coordinates from left to right from top to bottom. The operation ⌈x/y⌉ means division x by y rounded up.
For example, the left board on the following picture is the chessboard which is given for n=4 and the right board is the chessboard which is given for n=5.
<image>
You are given q queries. The i-th query is described as a pair x_i, y_i. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n.
Input
The first line contains two integers n and q (1 ≤ n ≤ 10^9, 1 ≤ q ≤ 10^5) — the size of the board and the number of queries.
The next q lines contain two integers each. The i-th line contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ n) — description of the i-th query.
Output
For each query from 1 to q print the answer to this query. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n. Queries are numbered from 1 to q in order of the input.
Examples
Input
4 5
1 1
4 4
4 3
3 2
2 4
Output
1
8
16
13
4
Input
5 4
2 1
4 2
3 3
3 4
Output
16
9
7
20
Note
Answers to the queries from examples are on the board in the picture from the problem statement.
Tags: implementation, math
Correct Solution:
```
def editor():
import sys
sys.stdin=open("input.txt",'r')
sys.stdout=open("output.txt",'w')
def solve():
n,q=map(int,input().split())
till= (n**2+1)//2
if n%2==0:
half=n//2
for _ in range(q):
x,y=map(int,input().split())
if (x+y)%2==0:
print((x-1)*half + (y+1)//2)
else:
print(till+(x-1)*half + (y+1)//2)
else:
oh=n//2
eh=(n+1)//2
for _ in range(q):
x,y=map(int,input().split())
if (x+y)%2==0:
if(x%2==1):print((x//2)*n + (y+1)//2)
else: print((x//2)*n - (n-y)//2)
else:
if(x%2==1):print(till + (x//2)*n + (y+1)//2)
else: print(till+ (x//2)*n - (n-y)//2)
if __name__ == "__main__":
# editor()
tc=1
# tc=int(input())
for t in range(tc):
solve()
```
| 86,593 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a chessboard of size n × n. It is filled with numbers from 1 to n^2 in the following way: the first ⌈ (n^2)/(2) ⌉ numbers from 1 to ⌈ (n^2)/(2) ⌉ are written in the cells with even sum of coordinates from left to right from top to bottom. The rest n^2 - ⌈ (n^2)/(2) ⌉ numbers from ⌈ (n^2)/(2) ⌉ + 1 to n^2 are written in the cells with odd sum of coordinates from left to right from top to bottom. The operation ⌈x/y⌉ means division x by y rounded up.
For example, the left board on the following picture is the chessboard which is given for n=4 and the right board is the chessboard which is given for n=5.
<image>
You are given q queries. The i-th query is described as a pair x_i, y_i. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n.
Input
The first line contains two integers n and q (1 ≤ n ≤ 10^9, 1 ≤ q ≤ 10^5) — the size of the board and the number of queries.
The next q lines contain two integers each. The i-th line contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ n) — description of the i-th query.
Output
For each query from 1 to q print the answer to this query. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n. Queries are numbered from 1 to q in order of the input.
Examples
Input
4 5
1 1
4 4
4 3
3 2
2 4
Output
1
8
16
13
4
Input
5 4
2 1
4 2
3 3
3 4
Output
16
9
7
20
Note
Answers to the queries from examples are on the board in the picture from the problem statement.
Tags: implementation, math
Correct Solution:
```
'''
n=eval(input())
print(n)
for i in range(n):
len=int(input())
s=input()
flag=True
for j in range(len):
d=abs(ord(s[j])-ord(s[len-1-j]))
if not(abs(d)==0 or abs(d)==2):
flag=False
break
if flag:
print('YES')
else :
print('NO')
'''
import sys
n,q=map(int,sys.stdin.readline().split())
for line in sys.stdin:
x,y=map(int,line.split())
ans=1+((x-1)*n+y-1)//2
if (x+y)%2:
ans+=n*n//2+(n%2)
print(int(ans))
```
| 86,594 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a chessboard of size n × n. It is filled with numbers from 1 to n^2 in the following way: the first ⌈ (n^2)/(2) ⌉ numbers from 1 to ⌈ (n^2)/(2) ⌉ are written in the cells with even sum of coordinates from left to right from top to bottom. The rest n^2 - ⌈ (n^2)/(2) ⌉ numbers from ⌈ (n^2)/(2) ⌉ + 1 to n^2 are written in the cells with odd sum of coordinates from left to right from top to bottom. The operation ⌈x/y⌉ means division x by y rounded up.
For example, the left board on the following picture is the chessboard which is given for n=4 and the right board is the chessboard which is given for n=5.
<image>
You are given q queries. The i-th query is described as a pair x_i, y_i. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n.
Input
The first line contains two integers n and q (1 ≤ n ≤ 10^9, 1 ≤ q ≤ 10^5) — the size of the board and the number of queries.
The next q lines contain two integers each. The i-th line contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ n) — description of the i-th query.
Output
For each query from 1 to q print the answer to this query. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n. Queries are numbered from 1 to q in order of the input.
Examples
Input
4 5
1 1
4 4
4 3
3 2
2 4
Output
1
8
16
13
4
Input
5 4
2 1
4 2
3 3
3 4
Output
16
9
7
20
Note
Answers to the queries from examples are on the board in the picture from the problem statement.
Tags: implementation, math
Correct Solution:
```
import sys
n,q=map(int,sys.stdin.readline().split())
for _ in range(q):
x,y=map(int,sys.stdin.readline().split())
print( ((x-1)*n+y+1+(x+y)%2*n*n)//2 )
```
| 86,595 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a chessboard of size n × n. It is filled with numbers from 1 to n^2 in the following way: the first ⌈ (n^2)/(2) ⌉ numbers from 1 to ⌈ (n^2)/(2) ⌉ are written in the cells with even sum of coordinates from left to right from top to bottom. The rest n^2 - ⌈ (n^2)/(2) ⌉ numbers from ⌈ (n^2)/(2) ⌉ + 1 to n^2 are written in the cells with odd sum of coordinates from left to right from top to bottom. The operation ⌈x/y⌉ means division x by y rounded up.
For example, the left board on the following picture is the chessboard which is given for n=4 and the right board is the chessboard which is given for n=5.
<image>
You are given q queries. The i-th query is described as a pair x_i, y_i. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n.
Input
The first line contains two integers n and q (1 ≤ n ≤ 10^9, 1 ≤ q ≤ 10^5) — the size of the board and the number of queries.
The next q lines contain two integers each. The i-th line contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ n) — description of the i-th query.
Output
For each query from 1 to q print the answer to this query. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n. Queries are numbered from 1 to q in order of the input.
Examples
Input
4 5
1 1
4 4
4 3
3 2
2 4
Output
1
8
16
13
4
Input
5 4
2 1
4 2
3 3
3 4
Output
16
9
7
20
Note
Answers to the queries from examples are on the board in the picture from the problem statement.
Tags: implementation, math
Correct Solution:
```
import sys
res = sys.stdin.readline().split()
n, query = int(res[0]), int(res[1])
for i in range(0, query):
result = sys.stdin.readline().split()
rows, columns = int(result[0]), int(result[1])
posicion = ((rows - 1) * n + columns)
ans = (posicion + 1) // 2
if (rows + columns) % 2 == 1:
ans += (n * n + 1) // 2
sys.stdout.write(str(ans) + "\n")
```
| 86,596 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a chessboard of size n × n. It is filled with numbers from 1 to n^2 in the following way: the first ⌈ (n^2)/(2) ⌉ numbers from 1 to ⌈ (n^2)/(2) ⌉ are written in the cells with even sum of coordinates from left to right from top to bottom. The rest n^2 - ⌈ (n^2)/(2) ⌉ numbers from ⌈ (n^2)/(2) ⌉ + 1 to n^2 are written in the cells with odd sum of coordinates from left to right from top to bottom. The operation ⌈x/y⌉ means division x by y rounded up.
For example, the left board on the following picture is the chessboard which is given for n=4 and the right board is the chessboard which is given for n=5.
<image>
You are given q queries. The i-th query is described as a pair x_i, y_i. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n.
Input
The first line contains two integers n and q (1 ≤ n ≤ 10^9, 1 ≤ q ≤ 10^5) — the size of the board and the number of queries.
The next q lines contain two integers each. The i-th line contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ n) — description of the i-th query.
Output
For each query from 1 to q print the answer to this query. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n. Queries are numbered from 1 to q in order of the input.
Examples
Input
4 5
1 1
4 4
4 3
3 2
2 4
Output
1
8
16
13
4
Input
5 4
2 1
4 2
3 3
3 4
Output
16
9
7
20
Note
Answers to the queries from examples are on the board in the picture from the problem statement.
Tags: implementation, math
Correct Solution:
```
import math
import sys
input = sys.stdin.readline
def solve(n, x, y):
r = (n * (x - 1) + (y - 1)) // 2 + 1 + int((x + y) % 2 == 1) * ((n ** 2) // 2 + int(n % 2 == 1))
return r
n, q = [int(s) for s in input().split(' ')]
for query in range(q):
x, y = [int(s) for s in input().split(' ')]
print(solve(n, x, y))
```
| 86,597 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a chessboard of size n × n. It is filled with numbers from 1 to n^2 in the following way: the first ⌈ (n^2)/(2) ⌉ numbers from 1 to ⌈ (n^2)/(2) ⌉ are written in the cells with even sum of coordinates from left to right from top to bottom. The rest n^2 - ⌈ (n^2)/(2) ⌉ numbers from ⌈ (n^2)/(2) ⌉ + 1 to n^2 are written in the cells with odd sum of coordinates from left to right from top to bottom. The operation ⌈x/y⌉ means division x by y rounded up.
For example, the left board on the following picture is the chessboard which is given for n=4 and the right board is the chessboard which is given for n=5.
<image>
You are given q queries. The i-th query is described as a pair x_i, y_i. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n.
Input
The first line contains two integers n and q (1 ≤ n ≤ 10^9, 1 ≤ q ≤ 10^5) — the size of the board and the number of queries.
The next q lines contain two integers each. The i-th line contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ n) — description of the i-th query.
Output
For each query from 1 to q print the answer to this query. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n. Queries are numbered from 1 to q in order of the input.
Examples
Input
4 5
1 1
4 4
4 3
3 2
2 4
Output
1
8
16
13
4
Input
5 4
2 1
4 2
3 3
3 4
Output
16
9
7
20
Note
Answers to the queries from examples are on the board in the picture from the problem statement.
Tags: implementation, math
Correct Solution:
```
import math
import sys
inputlist=sys.stdin.readlines()
n,q=list(map(int,inputlist[0].split(' ')))
for i in range(q):
x,y=list(map(int,inputlist[i+1].split(' ')))
if((x+y)%2==0):
print(((x-1)*n+y+1)//2)
else:
initial_sum=(n*n+1)//2
print(initial_sum+((x-1)*n+y+1)//2)
```
| 86,598 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given a chessboard of size n × n. It is filled with numbers from 1 to n^2 in the following way: the first ⌈ (n^2)/(2) ⌉ numbers from 1 to ⌈ (n^2)/(2) ⌉ are written in the cells with even sum of coordinates from left to right from top to bottom. The rest n^2 - ⌈ (n^2)/(2) ⌉ numbers from ⌈ (n^2)/(2) ⌉ + 1 to n^2 are written in the cells with odd sum of coordinates from left to right from top to bottom. The operation ⌈x/y⌉ means division x by y rounded up.
For example, the left board on the following picture is the chessboard which is given for n=4 and the right board is the chessboard which is given for n=5.
<image>
You are given q queries. The i-th query is described as a pair x_i, y_i. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n.
Input
The first line contains two integers n and q (1 ≤ n ≤ 10^9, 1 ≤ q ≤ 10^5) — the size of the board and the number of queries.
The next q lines contain two integers each. The i-th line contains two integers x_i, y_i (1 ≤ x_i, y_i ≤ n) — description of the i-th query.
Output
For each query from 1 to q print the answer to this query. The answer to the i-th query is the number written in the cell x_i, y_i (x_i is the row, y_i is the column). Rows and columns are numbered from 1 to n. Queries are numbered from 1 to q in order of the input.
Examples
Input
4 5
1 1
4 4
4 3
3 2
2 4
Output
1
8
16
13
4
Input
5 4
2 1
4 2
3 3
3 4
Output
16
9
7
20
Note
Answers to the queries from examples are on the board in the picture from the problem statement.
Tags: implementation, math
Correct Solution:
```
import sys
from array import array # noqa: F401
def readline(): return sys.stdin.buffer.readline().decode('utf-8')
n, q = map(int, readline().split())
ans = [0]*q
for i in range(q):
y, x = map(int, readline().split())
z = ((y-1) >> 1) * n + ((x + 1) >> 1)
if (x + y) & 1:
z += (n**2 + 1) >> 1
if (y & 1) == 0:
z += n >> 1
elif (y & 1) == 0:
z += (n + 1) >> 1
ans[i] = z
sys.stdout.buffer.write(('\n'.join(map(str, ans))).encode('utf-8'))
```
| 86,599 |
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