text stringlengths 198 433k | conversation_id int64 0 109k |
|---|---|
Provide a correct Python 3 solution for this coding contest problem.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
"Correct Solution:
```
A=[0]*9
for i in range(3):
A[i*3:i*3+3]=input().split()
for i in range(int(input())):
b=input()
for j in range(9):
if A[j]==b:
A[j]="0"
s="012345678036147258048246"
a=f=0
for i in range(24):
a+=int(A[int(s[i])])
if i%3==2:
if a==0:
f+=1
a=0
if f>0:
print("Yes")
else:
print("No")
```
| 5,600 |
Provide a correct Python 3 solution for this coding contest problem.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
"Correct Solution:
```
A = []
for _ in range(3):
for e in list(map(int, input().split())):
A.append(e)
N = int(input())
for _ in range(N):
n = int(input())
if n in A:
A[A.index(n)] = 0
patterns = [
[0, 1, 2],
[3, 4, 5],
[6, 7, 8],
[0, 3, 6],
[1, 4, 7],
[2, 5, 8],
[0, 4, 8],
[2, 4, 6]
]
for pattern in patterns:
if not any([A[e] for e in pattern]):
print('Yes')
exit()
print('No')
```
| 5,601 |
Provide a correct Python 3 solution for this coding contest problem.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
"Correct Solution:
```
a = []
for i in range(3):
a += list(map(int, input().split()))
bg = [False]*9
n = int(input())
for i in range(n):
b = int(input())
if b in a:
bg[a.index(b)] = True
num = [[0,1,2],[3,4,5],[6,7,8],[0,3,6],[1,4,7],[2,5,8],[0,4,8],[2,4,6]]
for x, y, z in num:
if bg[x] and bg[y] and bg[z]:
print('Yes')
exit()
print('No')
```
| 5,602 |
Provide a correct Python 3 solution for this coding contest problem.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
"Correct Solution:
```
B=[]
for _ in range(3):B+=list(map(int,input().split()))
S=set(int(input()) for _ in range(int(input())))
for i,b in enumerate(B):
if b in S:B[i]=0
if B[0]+B[1]+B[2]==0 or B[3]+B[4]+B[5]==0 or B[6]+B[7]+B[8]==0 or B[0]+B[3]+B[6]==0 or B[1]+B[4]+B[7]==0 or B[2]+B[5]+B[8]==0 or B[0]+B[4]+B[8]==0 or B[2]+B[4]+B[6]==0:
print('Yes')
else:print('No')
```
| 5,603 |
Provide a correct Python 3 solution for this coding contest problem.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
"Correct Solution:
```
*inputs, = map(int, open(0).read().split())
A = inputs[:9]
B = inputs[9:]
C = [0] * 9
for b in B:
if b in A:
C[A.index(b)] = 1
if any([
all(C[:3]), all(C[3:6]), all(C[6:]),
all(C[::3]), all(C[1::3]), all(C[2::3]),
all([C[0], C[4], C[8]]), all([C[2], C[4], C[6]])
]):
print('Yes')
else:
print('No')
```
| 5,604 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
A=[]
for i in [0]*3:
A+=list(map(int,input().split()))
N=int(input())
B=[0]*9
for i in range(N):
i=int(input())
if i in A:
B[A.index(i)]=1
res=0
for i in range(3):
res+=B[3*i]*B[3*i+1]*B[3*i+2]
res+=B[i]*B[i+3]*B[i+6]
res+=B[0]*B[4]*B[8]+B[2]*B[4]*B[6]
print(['No','Yes'][res>0])
```
Yes
| 5,605 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
f=lambda a:any(all(b)for b in a)|all(a[i][i]for i in(0,1,2))
*t,=map(int,open(0).read().split())
a=t[:9]
s=eval('[0]*3,'*3)
for b in t[10:]:
if b in a:
i=a.index(b)
s[i//3][i%3]=1
print('NYoe s'[f(s)|f([t[::-1]for t in zip(*s)])::2])
```
Yes
| 5,606 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
import sys
A=[]
for a in range(3):
l=[int(i) for i in input().split()]
A.extend(l)
f=[0]*9
for i in range(int(input())):
b=int(input())
if b in A:
f[A.index(b)]=1
#print(f)
p=[[0,1,2],[3,4,5],[6,7,8],[0,3,6],[1,4,7],[2,5,8],[0,4,8],[2,4,6]]
for i in p:
if all(f[x]==1 for x in i):
print("Yes")
sys.exit()
print("No")
```
Yes
| 5,607 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
a=[list(map(int,input().split())) for _ in range(3)]
f=[[0]*3 for _ in range(3)]
for _ in range(int(input())):
x=int(input())
for i in range(3):
for j in range(3):
if x==a[i][j]:
f[i][j]=1
ans=0
for i in range(3):
if all(f[i][j] for j in range(3)) or all(f[j][i] for j in range(3)):
ans=1
if f[0][0]==f[1][1]==f[2][2]==1 or f[0][2]==f[1][1]==f[2][0]==1:
ans=1
print("Yes" if ans else "No")
```
Yes
| 5,608 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
A = [[0,0,0],[0,0,0],[0,0,0]]
for i in range(3):
A[i][0],A[i][1],A[i][2] = map(int, input().split())
N = int(input())
L = list()
Al = [i for x in A for i in x]
have = []
for _ in range(N):
a = int(input())
if a in Al:
have.append(a)
if len(have)>=4:
print("Yes")
else:
print("No")
```
No
| 5,609 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
import itertools
# ここを参考にした
# https://note.nkmk.me/python-list-index/
# def my_index(l, x, default=False):
# if x in l:
# return l.index(x)
# else:
# return default
Bingo_index=[]
master =[]
# 二次元リスト
Row = 3
List=[[int(j) for j in input().split()] for i in range(Row)]
# 二次元リストを一次元リストに
dim_List=list(itertools.chain.from_iterable(List))
# print(dim_List)
# ビンゴ表作成終わり
n = int(input())
# print(n)
Num=[int(input()) for i in range(n)]
# print(Num)
# print(set(dim_List) & set(Num))
# 入力処理ここまで
Common = list(set(dim_List) & set(Num))
# print(Common)
# https://teratail.com/questions/156336
# リストに要素をコピーする方法↑
for a in Common:
# if(my_index(dim_List,a) == False):
# print('No')
Bingo_index.append(dim_List.index(a))
#
# print('Bingo_indexは')
# print(Bingo_index)
# print(sorted(Bingo_index))
if len(Bingo_index) == 0:
print('No')
exit()
# Bingo_indexにビンゴしてるdim_Listの要素のインデックスが入ってる
answer1 = len(list(set([0, 1, 2])&set(Bingo_index)))
answer2 = len(list(set([3, 4, 5])&set(Bingo_index)))
answer3 = len(list(set([6, 7, 8])&set(Bingo_index)))
answer4 = len(list(set([0, 4, 8])&set(Bingo_index)))
answer5 = len(list(set([0, 3, 6])&set(Bingo_index)))
answer6 = len(list(set([1, 4, 7])&set(Bingo_index)))
answer7 = len(list(set([2, 5, 8])&set(Bingo_index)))
# Bingo_indexの中身にとanswer1~7の組み合わせがあるかどうか調べる
# 全部のアンサーとandをとってどれかの長さが3の奴があればyes出力や
master.append(answer1)
master.append(answer2)
master.append(answer3)
master.append(answer4)
master.append(answer5)
master.append(answer6)
master.append(answer7)
# print(master)
# print(master.count('3'))
for e in master:
if e ==3:
print('Yes')
exit()
```
No
| 5,610 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
A=[list(map(int,input().split())) for i in range(3)]
N=int(input())
b=[]
for i in range(N):
b.append(int(input()))
for i in range(3):
for j in range(3):
for x in range(N):
if A[i][j]==b[x]:
A[i][j]=0
for i in range(3):
if A[i][0]==0 and A[i][1]==0 and A[i][2]==0:
print("Yes")
break
for i in range(3):
if A[0][i]==0 and A[1][i]==0 and A[2][i]==0:
print("Yes")
break
if A[0][0] == 0 and A[1][1] == 0 and A[2][2] == 0:
print("Yes")
break
if A[0][2] == 0 and A[1][1] == 0 and A[2][0] == 0:
print("Yes")
break
print("No")
```
No
| 5,611 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.
The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.
Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.
Constraints
* All values in input are integers.
* 1 \leq A_{i, j} \leq 100
* A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))
* 1 \leq N \leq 10
* 1 \leq b_i \leq 100
* b_i \neq b_j (i \neq j)
Input
Input is given from Standard Input in the following format:
A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N
Output
If we will have a bingo, print `Yes`; otherwise, print `No`.
Examples
Input
84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30
Output
Yes
Input
41 7 46
26 89 2
78 92 8
5
6
45
16
57
17
Output
No
Input
60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34
Output
Yes
Submitted Solution:
```
a=[list(map(int,input().split())) for _ in range(3)]
n=int(input())
b=[int(input()) for _ in range(n)]
maze=[["*" for i in range(3)] for _ in range(3)]
for i in range(n):
for j in range(3):
for k in range(3):
if b[i]==a[j][k]:
maze[j][k]="#"
for i in range(3):
f=1
for j in range(3):
if maze[i][j]!="#":
f=0
break
if f:
print("Yes")
exit()
for i in range(3):
fa=1
if maze[i][i]!="#":
fa=0
break
if fa:
print("Yes")
exit()
for i in range(3):
fe=1
if maze[i][2-i]!="#":
fe=0
break
if fe:
print("Yes")
exit()
print("No")
```
No
| 5,612 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
n = int(input())
a = []
for i in range(1,n+1):
s, p = input().split()
a.append((s, -1*int(p), i))
a.sort()
for i in a:
print(i[2])
```
| 5,613 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
n = int(input())
l =[]
for i in range(n):
s,p = input().split()
p = int(p)
l.append([s,-p,i+1])
l.sort()
for k in range(n):
print(l[k][2])
```
| 5,614 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
n=int(input())
data=[tuple(input().split()+[i+1]) for i in range(n)]
data.sort(key=lambda tup:(tup[0],-int(tup[1])))
for i in data:
print(i[2])
```
| 5,615 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
n = int(input())
l = []
for i in range(1,n+1):
s,p = input().split()
l.append((s,-int(p),i))
l.sort()
for x in l:
print(x[2])
```
| 5,616 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
n = int(input())
r = []
for i in range(n):
c, s = input().split()
r.append((c, -int(s), i+1))
r = sorted(r)
for x in r:
print(x[2])
```
| 5,617 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
for*_,a in sorted([input().split()+[i]for i in range(int(input()))],key=lambda x:(x[0],-int(x[1]))):print(a+1)
```
| 5,618 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
n=int(input())
sp=[]
for i in range(n):
s,p=map(str,input().split())
sp.append([s,-int(p),i+1])
sp.sort()
for ans in sp:
print(ans[-1])
```
| 5,619 |
Provide a correct Python 3 solution for this coding contest problem.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
"Correct Solution:
```
N = int(input())
SP = []
for i in range(N):
S,P = input().split()
P = int(P)
SP.append((S,-P,i+1))
SP.sort()
for a,b,c in SP:
print(c)
```
| 5,620 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
n = int(input())
sp = [input().split() + [i] for i in range(n)]
sp.sort(key = lambda x: (x[0],-int(x[1])))
for _,_,i in sp:
print(i + 1)
```
Yes
| 5,621 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
n = int(input())
d = [input().split() + [i] for i in range(1,n+1)]
d.sort(key=lambda x: (x[0],-int(x[1])))
for i in d:
print(i[2])
```
Yes
| 5,622 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
N = int(input())
L = []
for i in range(N):
s,p = input().split()
L.append([s, 100-int(p), i+1])
L.sort()
for j in L:
print(j[2])
```
Yes
| 5,623 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
n=int(input())
A=[]
for i in range(1,n+1):
S,P=input().split()
A.append((S,-int(P),i))
B=sorted(A)
for f in range(n):
print(B[f][2])
```
Yes
| 5,624 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
n = int(input())
guide = [[i+1, list(int(x) if x.isdigit() else x for x in input().split())] for i in range(n)]
print(guide) ##
guide = sorted(guide, key = lambda x:(x[1][0],-x[1][1]))
for i in range(n):
print(guide[i][0])
```
No
| 5,625 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
n = int(input())
c = list()
num = 0
for i in range(1,n+1):
a,p = [x for x in input().split()]
c.append([a,p,i])
e = list()
c = sorted(c,key=lambda x:(x[0],x[1]))
for i in range(1,len(c)):
if(i == 1 and c[0][0] == c[1][0]):
e.append(c[0][2])
elif(i == 1 and c[0][0] != c[1][0]):
print(c[0][2])
e = list()
if(c[i-1][0] == c[i][0]):
e.append(c[i][2])
else:
for j in reversed(range(0,len(e))):
print(e[j])
e = list()
e.append(c[i][2])
for j in reversed(range(0,len(e))):
print(e[j])
```
No
| 5,626 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
n = int(input())
stack = [['zzzzzzzzzzz', -1]]
for i in range(n):
s, p = input().split()
p = int(p)
stack.append([s, p])
cnt = {0}
for i in range(len(stack)-1):
x = 0
for j in range(1,len(stack)):
if j in cnt:
continue
else:
if stack[x][0] >= stack[j][0] and stack[x][1] < stack[j][1]:
x = j
cnt.add(x)
print(x)
```
No
| 5,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have decided to write a book introducing good restaurants. There are N restaurants that you want to introduce: Restaurant 1, Restaurant 2, ..., Restaurant N. Restaurant i is in city S_i, and your assessment score of that restaurant on a 100-point scale is P_i. No two restaurants have the same score.
You want to introduce the restaurants in the following order:
* The restaurants are arranged in lexicographical order of the names of their cities.
* If there are multiple restaurants in the same city, they are arranged in descending order of score.
Print the identification numbers of the restaurants in the order they are introduced in the book.
Constraints
* 1 ≤ N ≤ 100
* S is a string of length between 1 and 10 (inclusive) consisting of lowercase English letters.
* 0 ≤ P_i ≤ 100
* P_i is an integer.
* P_i ≠ P_j (1 ≤ i < j ≤ N)
Input
Input is given from Standard Input in the following format:
N
S_1 P_1
:
S_N P_N
Output
Print N lines. The i-th line (1 ≤ i ≤ N) should contain the identification number of the restaurant that is introduced i-th in the book.
Examples
Input
6
khabarovsk 20
moscow 10
kazan 50
kazan 35
moscow 60
khabarovsk 40
Output
3
4
6
1
5
2
Input
10
yakutsk 10
yakutsk 20
yakutsk 30
yakutsk 40
yakutsk 50
yakutsk 60
yakutsk 70
yakutsk 80
yakutsk 90
yakutsk 100
Output
10
9
8
7
6
5
4
3
2
1
Submitted Solution:
```
import pandas as pd
import numpy as np
N = input()
N = int(N)
a_np = np.ones((N,1))
a_pd = pd.DataFrame(a_np,columns=['A'])
a_pd['B']=None
a_pd['C']=None
for i in range(0,N):
S, P = map(str, input().split())
P = int(P)
a_pd.loc[i,:] = [i,S,P]
#print(i,S,P)
b_pd = a_pd.sort_values(['B','C'],ascending=[True, False])
b_pd = b_pd.reset_index()
print(b_pd)
c = b_pd.loc[:,'A']
for j in range(0,N):
print(int(c[j]+1))
```
No
| 5,628 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
dp = [[0 for _ in range(n+1)] for _ in range(n+1)]
#dp[l][r]: 左l個右r個取ったところからの前-後max
for i in range(n):
dp[i][n-1-i] = a[i]
for x in range(n-2, -1, -1):
for y in range(x+1):
l, r = y, x-y
dp[l][r] = max(-dp[l+1][r] + a[l], -dp[l][r+1] + a[-(r+1)])
print(dp[0][0])
```
| 5,629 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
N = int(input())
*A, = map(int, input().split())
dp = [[0] * (N+1) for _ in range(N+1)]
for n in range(1, N+1):
for i in range(N-n+1):
j = i + n
if (N - n) % 2 == 0: # first player
dp[i][j] = max(dp[i+1][j] + A[i], dp[i][j-1] + A[j-1])
else: # second player
dp[i][j] = min(dp[i+1][j] - A[i], dp[i][j-1] - A[j-1])
print(dp[0][N])
```
| 5,630 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
n=int(input())
a=[int(i) for i in input().split()]
dp=[[0]*(n+1) for i in range(n+1)]
for w in range(1,n+1):
#for w in range(1,3,1):
# print(dp[1])
for l in range(n-w+1):
r=l+w
dpl=-dp[l+1][r]+a[l]
dpr=-dp[l][r-1]+a[r-1]
dp[l][r]=max(dpl,dpr)
#print()
#for i in dp:
# print(i)
print(dp[0][n])
```
| 5,631 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
def fun(i,j):
# print(i,j)
if i>j or i>=n or j<0:
return 0
elif i==j:
dp[i][j]=arr[i]
return dp[i][j]
else:
if dp[i][j]==0:
dp[i][j]=max(arr[i]+min(fun(i+1,j-1),fun(i+2,j)),arr[j]+min(fun(i+1,j-1),fun(i,j-2)))
return dp[i][j]
n=int(input())
dp=[0]*n
for i in range(n):
dp[i]=[0]*n
arr=list(map(int,input().split()))
for i in range(n-1,-1,-1):
for j in range(i,n,1):
if i==j:
dp[i][j]=arr[i]
else:
dp[i][j]=max(arr[i]-dp[i+1][j],arr[j]-dp[i][j-1])
# print(dp[i])
print(dp[0][n-1])
# print(2*fun(0,n-1)-sum(arr))
```
| 5,632 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
dp={}
n=int(input())
nums=list(map(int,input().split()))
#print(dp)
#print(recursive(0,n-1))
dp=[[0]*(n+1) for _ in range(n+1)]
for i in range(n-1,-1,-1):
for j in range(i,n,1):
dp[i][j]=max(nums[i]-dp[i+1][j],nums[j]-dp[i][j-1])
print(dp[0][n-1])
```
| 5,633 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
N=int(input())
a=[int(i) for i in input().split()]
dp=[[0]*(N+1) for i in range(N+1)]
for d in range(1,N+1):
for i in range(N+1-d):
if (N-d)%2==0:
dp[i][i+d]=max(dp[i+1][i+d]+a[i],dp[i][i+d-1]+a[i+d-1])
if (N-d)%2==1:
dp[i][i+d]=min(dp[i+1][i+d],dp[i][i+d-1])
print(2*dp[0][N]-sum(a))
```
| 5,634 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
dp = [[0] * (n-t+1) for t in range(1, n+1)]
dp[0] = a
for t in range(1, n):
for i in range(n-t):
dp[t][i] = max(-dp[t-1][i+1] + a[i], -dp[t-1][i] + a[i+t])
print(dp[n-1][0])
```
| 5,635 |
Provide a correct Python 3 solution for this coding contest problem.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
"Correct Solution:
```
n = int(input())
*A, = map(int, input().split())
DP = [[0 for j in range(n+1)] for i in range(n+1)]
for l in range(1, n+1):
for i in range(n-l+1):
DP[i][i+l] = max(A[i]-DP[i+1][i+l], A[i+l-1]-DP[i][i+l-1])
print(DP[0][n])
```
| 5,636 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
N = int(input())
a = list(map(int, input().split()))
dp = [[0]*N for _ in range(N)]
if N%2 == 0:
for i in range(N):
dp[0][i] = -a[i]
else:
for i in range(N):
dp[0][i] = a[i]
for i in range(1, N):
for j in range(N-i):
if (N-i)%2 == 1:
dp[i][j] = max(dp[i-1][j]+a[i+j], dp[i-1][j+1]+a[j])
else:
dp[i][j] = min(dp[i-1][j]-a[i+j], dp[i-1][j+1]-a[j])
print(dp[-1][0])
```
Yes
| 5,637 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
n = int(input())
A = list(map(int, input().split()))
dp = [[0]*(n+1) for i in range(n+1)]
for d in range(1, n+1):
for i in range(n+1-d):
j = i+d
if (n-d)%2 == 0:
dp[i][j] = max(dp[i+1][j]+A[i], dp[i][j-1]+A[j-1])
else:
dp[i][j] = min(dp[i+1][j]-A[i], dp[i][j-1]-A[j-1])
print(dp[0][n])
```
Yes
| 5,638 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
#EDPC L メモ化再帰じゃTLEで通らないのでやり直し
N=int(input())
a=list(map(int,input().split()))
#dp[l][r]:=区間[l,r]が残っている時の(直後の人の最終的な得点-そうじゃない方の最終的な得点）
dp=[[-1]*N for _ in range(N)]
for k in range(N):
dp[k][k]=a[k]
for r in range(1,N):
for l in reversed(range(r)):
dp[l][r]=max(a[l]-dp[l+1][r],a[r]-dp[l][r-1])
print(dp[0][N-1])
```
Yes
| 5,639 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
N = int(input())
A = list(map(int, input().split()))
dp = [[0] * (N + 1) for _ in range(N + 1)]
for d in range(1, N + 1):
for i in range(N - d + 1):
j = i + d
if (N-d) % 2 == 1:
dp[i][j] = min(dp[i+1][j]-A[i], dp[i][j-1]-A[j-1])
else:
dp[i][j] = max(dp[i+1][j]+A[i], dp[i][j-1]+A[j-1])
ans = dp[0][N]
print(ans)
```
Yes
| 5,640 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
import sys
sys.setrecursionlimit(2147483647)
INF=float("inf")
MOD=10**9+7
input=lambda :sys.stdin.readline().rstrip()
def resolve():
n=int(input())
A=list(map(int,input().split()))
dp=[[None]*(n+1) for _ in range(n+1)]
def dfs(l,r)->NoneType:
if(dp[l][r] is not None): return
if(l==r):
dp[l][r]=0
return
# 1個先の値を確定させておく
dfs(l+1,r)
dfs(l,r-1)
turn=(n-(r-l))%2
if(turn==0): dp[l][r]=max(dp[l+1][r]+A[l],dp[l][r-1]+A[r-1])
else: dp[l][r]=min(dp[l+1][r]-A[l],dp[l][r-1]-A[r-1])
dfs(0,n)
print(dp[0][n])
resolve()
```
No
| 5,641 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
def main(N,a):
return 2
```
No
| 5,642 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
import sys
# input処理を高速化する
input = sys.stdin.readline
def chmax(a, b):
if a >= b:
return a
return b
def chmin(a, b):
if a <= b:
return a
return b
def main():
N = int(input())
a = list(map(int, input().split()))
# aiからajのX−Yの最大値
# [左端,右端)=[l,r)からの遷移
# 左をとる[l+1,r)、右をとる[l,r−1)の2通り
dp = [[0] * (N+2) for _ in range(N+2)]
dp[N+1][N+1] = 4999999995
for len in range(1, N + 1):
for i in range(N + 1 - len):
j = i + len
if (N - len) % 2 == 0:
dp[i][j] = chmax(dp[i + 1][j] + a[i], dp[i][j - 1] + a[j - 1])
else:
dp[i][j] = chmin(dp[i + 1][j] - a[i], dp[i][j - 1] - a[j - 1])
print(dp[0][N])
main()
```
No
| 5,643 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro and Jiro will play the following game against each other.
Initially, they are given a sequence a = (a_1, a_2, \ldots, a_N). Until a becomes empty, the two players perform the following operation alternately, starting from Taro:
* Remove the element at the beginning or the end of a. The player earns x points, where x is the removed element.
Let X and Y be Taro's and Jiro's total score at the end of the game, respectively. Taro tries to maximize X - Y, while Jiro tries to minimize X - Y.
Assuming that the two players play optimally, find the resulting value of X - Y.
Constraints
* All values in input are integers.
* 1 \leq N \leq 3000
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_N
Output
Print the resulting value of X - Y, assuming that the two players play optimally.
Examples
Input
4
10 80 90 30
Output
10
Input
3
10 100 10
Output
-80
Input
1
10
Output
10
Input
10
1000000000 1 1000000000 1 1000000000 1 1000000000 1 1000000000 1
Output
4999999995
Input
6
4 2 9 7 1 5
Output
2
Submitted Solution:
```
import sys
input = sys.stdin.readline
N = int(input())
A = [int(i) for i in input().split()]
dp = [[0] * (N+1) for i in range(N+1)]
def func():
for s in range(1, N+1):
for l in range(N-s+1):
r = l + s
if (N - s) % 2 == 0:
dp[l][r] = max(dp[l+1][r]+A[l], dp[l][r-1]+A[r-1])
else:
dp[l][r] = min(dp[l+1][r]-A[l], dp[l][r-1]-A[r-1])
func()
print(dp[0][N])
```
No
| 5,644 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
import math
n,k=map(int,input().split());input();print(math.ceil((n-1)/(k-1)))
```
| 5,645 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
n, k = map(int, input().split())
print((n-1)//(k-1)+1 if (n-1)%(k-1) else (n-1)//(k-1))
```
| 5,646 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
N,K = map(int,input().split())
answer = (N-2)//(K-1)+1
print(answer)
```
| 5,647 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
N, K, *a = map(int, open(0).read().split())
print((N - 2) // (K - 1) + 1)
```
| 5,648 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
print(eval('0--~-'+input().replace(' ','//~-')))
```
| 5,649 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
n,k=map(int,input().split())
print((n-1)//(k-1)+((n-1)%(k-1)!=0))
```
| 5,650 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
import math
N,K = map(int, input().split())
ans = math.ceil((N-1) / (K-1))
print(ans)
```
| 5,651 |
Provide a correct Python 3 solution for this coding contest problem.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
"Correct Solution:
```
n,k=map(int,input().split())
i=1
cnt=0
while i<n:
i+=k-1
cnt+=1
print(cnt)
```
| 5,652 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
N, K = [int(s) for s in input().split()]
print(1 -(-(N-K)//(K-1)))
```
Yes
| 5,653 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
n,k=map(int,input().split());print((n+k-3)//~-k)
```
Yes
| 5,654 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
N, K = map(int, input().split())
A = [int(x) for x in input().split()]
print((N+K-3)//(K-1))
```
Yes
| 5,655 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
n, k = map(int, input().split())
d = k - 1
print((n + d - 2) // d)
```
Yes
| 5,656 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
from math import ceil
N, K = map(int, input().split())
A = list(map(int, input().split()))
if N == K:
print(1)
if K == 2:
print(N-1)
else:
ans = ceil(N/(K-1))
print(ans)
```
No
| 5,657 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
N, K = map(int, input().split())
A = [int(x) for x in input().split()]
minIndex = A.index(min(A))
cnt1 = (minIndex+1)//(K-1)
cnt2 = (len(A)-minIndex)//(K-1)
print(cnt1 + cnt2)
```
No
| 5,658 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
def getN():
return int(input())
def getNM():
return map(int, input().split())
def getList():
return list(map(int, input().split()))
def getArray(intn):
return [int(input()) for i in range(intn)]
def input():
return sys.stdin.readline().rstrip()
from collections import defaultdict, deque, Counter
from sys import exit
import heapq
import math
import fractions
import copy
from itertools import permutations
from operator import mul
from functools import reduce
from bisect import bisect_left, bisect_right
import sys
sys.setrecursionlimit(1000000000)
mod = 10 ** 9 + 7
from itertools import permutations
from math import factorial, hypot
N, K = getNM()
A = getList()
mi = min(A)
miindex = []
for i in range(N):
if A[i] == mi:
miindex.append(i)
ans = 1000000
for i in miindex:
rang = K - 1
opt1 = (i + rang - 1) // rang
opt2 = ((N - i - 1) + rang - 1) // rang
ans = min(ans, opt1 + opt2)
print(ans)
```
No
| 5,659 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a sequence of length N: A_1, A_2, ..., A_N. Initially, this sequence is a permutation of 1, 2, ..., N.
On this sequence, Snuke can perform the following operation:
* Choose K consecutive elements in the sequence. Then, replace the value of each chosen element with the minimum value among the chosen elements.
Snuke would like to make all the elements in this sequence equal by repeating the operation above some number of times. Find the minimum number of operations required. It can be proved that, Under the constraints of this problem, this objective is always achievable.
Constraints
* 2 \leq K \leq N \leq 100000
* A_1, A_2, ..., A_N is a permutation of 1, 2, ..., N.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the minimum number of operations required.
Examples
Input
4 3
2 3 1 4
Output
2
Input
3 3
1 2 3
Output
1
Input
8 3
7 3 1 8 4 6 2 5
Output
4
Submitted Solution:
```
info = list(map(int, input().split(' ')))
array = list(map(int, input().split(' ')))
print(info[0]//(info[1]-1))
```
No
| 5,660 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
n = int(input());
print(48 - n);
```
| 5,661 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
m = int(input())
ans = 48 - m
print(ans)
```
| 5,662 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
#84A
m = int(input())
print(48-m)
```
| 5,663 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
nancy = int(input())
print (24-nancy+24)
```
| 5,664 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
M = int(input())
x = 24 - M + 24
print(x)
```
| 5,665 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
n = int(input())
print(24+24-n)
```
| 5,666 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
a = int(input())
print((24-a)+24)
```
| 5,667 |
Provide a correct Python 3 solution for this coding contest problem.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
"Correct Solution:
```
M = int(input())
print(24 * 2 - M)
```
| 5,668 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
x = int(input())
print(24 - x + 24)
```
Yes
| 5,669 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
M = int(input()) # 5
print(24-M+24)
```
Yes
| 5,670 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
print(str(48-int(input())))
```
Yes
| 5,671 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
print(24 + (24-int(input())))
```
Yes
| 5,672 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
a,b=map(int,input().split())
s=input()
if s[:a].isdigit() and s[a:b]=='-' and s[b:].isdigit():
print("True")
else:
print("No")
```
No
| 5,673 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
m = input()
n = 48 - m
print(n)
```
No
| 5,674 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
def year(M):
num = open('M.txt', r)
return int(48 - int(num))
```
No
| 5,675 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
How many hours do we have until New Year at M o'clock (24-hour notation) on 30th, December?
Constraints
* 1≤M≤23
* M is an integer.
Input
Input is given from Standard Input in the following format:
M
Output
If we have x hours until New Year at M o'clock on 30th, December, print x.
Examples
Input
21
Output
27
Input
12
Output
36
Submitted Solution:
```
#coding: utf-8
print(24 - M + 24)
```
No
| 5,676 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
F, *M, L = list(input())
print(F + str(len(M)) + L)
```
| 5,677 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
s = input()
a = len(s)
print(s[0]+str(a-2)+s[a-1])
```
| 5,678 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
S=input()
print(S[:1]+str(len(S)-2)+S[-1:])
```
| 5,679 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
s = input()
print(s[0] + str((len(s)) - 2) + s[-1])
```
| 5,680 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
a,*b,c = input()
print(a + str(len(b)) + c, end="")
```
| 5,681 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
s=input();print(s[0]+str(len(s[1:-1]))+s[-1])
```
| 5,682 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
s=list(input())
y=str(len(s)-2)
print(s[0]+y+s[-1])
```
| 5,683 |
Provide a correct Python 3 solution for this coding contest problem.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
"Correct Solution:
```
l=list(input())
print(l[0]+str(len(l)-2)+l[-1])
```
| 5,684 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
S=input()
l=len(S)-2
A=S[0]
B=S[-1]
print(A+str(l)+B)
```
Yes
| 5,685 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
S=input()
a=str(len(S)-2)
print(S[:1]+a+S[-1:])
```
Yes
| 5,686 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
s=input()
n=int(len(s))
print(s[0]+str(n-2)+s[n-1])
```
Yes
| 5,687 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
a = input()
print(f"{a[0]}{len(a[1:-1])}{a[-1]}")
```
Yes
| 5,688 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
s = input()
N = len(s)
print(s[0] + len(N - 2) + s[N - 1])
```
No
| 5,689 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
temp = input()
l = len(temp)
print(temp[0]+str(l)+temp[l-1])
```
No
| 5,690 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
S = input()
l = S.__len__()
print('%s%s%s' % [S[0], l-2, S[l-1]]
```
No
| 5,691 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The word `internationalization` is sometimes abbreviated to `i18n`. This comes from the fact that there are 18 letters between the first `i` and the last `n`.
You are given a string s of length at least 3 consisting of lowercase English letters. Abbreviate s in the same way.
Constraints
* 3 ≤ |s| ≤ 100 (|s| denotes the length of s.)
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the abbreviation of s.
Examples
Input
internationalization
Output
i18n
Input
smiles
Output
s4s
Input
xyz
Output
x1z
Submitted Solution:
```
s=input()
print(s[0])
print(str(len(s)-2))
print(s[-1])
```
No
| 5,692 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are developing a robot that processes strings. When the robot is given a string t consisting of lowercase English letters, it processes the string by following the procedure below:
1. Let i be the smallest index such that t_i = t_{i + 1}. If such an index does not exist, terminate the procedure.
2. If t_i is `z`, remove t_i and t_{i + 1} from t. Otherwise, let c be the next letter of t_i in the English alphabet, and replace t_i and t_{i + 1} together with c, reducing the length of t by 1.
3. Go back to step 1.
For example, when the robot is given the string `axxxxza`, it will be processed as follows: `axxxxza` → `ayxxza` → `ayyza` → `azza` → `aa` → `b`.
You are given a string s consisting of lowercase English letters. Answer Q queries. The i-th query is as follows:
* Assume that the robot is given a substring of s that runs from the l_i-th character and up to the r_i-th character (inclusive). Will the string be empty after processing?
Constraints
* 1 ≤ |s| ≤ 5 × 10^5
* s consists of lowercase English letters.
* 1 ≤ Q ≤ 10^5
* 1 ≤ l_i ≤ r_i ≤ |s|
Input
The input is given from Standard Input in the following format:
s
Q
l_1 r_1
l_2 r_2
:
l_Q r_Q
Output
Print Q lines. The i-th line should contain the answer to the i-th query: `Yes` or `No`.
Examples
Input
axxxxza
2
1 7
2 6
Output
No
Yes
Input
aabcdefghijklmnopqrstuvwxyz
1
1 27
Output
Yes
Input
yzyyyzyzyyyz
8
1 6
7 12
1 12
6 11
1 1
1 3
4 9
3 8
Output
Yes
Yes
Yes
Yes
No
No
No
No
Submitted Solution:
```
#MOD = 10**9 + 7
from math import log2
s = input().strip()
#print(s,len(s))
L = len(s)
Q = int(input().strip())
ORD = ord('a')
nextC = [27*[L+1] for _ in range(L+2)]
nextC[L-1][ord(s[-1])-ORD] = L
for i in range(L-2,-1,-1):
char = ord(s[i]) - ORD
nextC[i][char] = i+1
#if i == 0: print('###',nextC[i])
for c in range(char+1,27):
nextC[i][c] = min(nextC[nextC[i][c-1]][c-1], nextC[nextC[i][26]][c])
#if i == 0: print('###',nextC[i])
if char != 0:
nextC[i][0] = nextC[nextC[i][26]][0]
for c in range(1,char):
nextC[i][c] = min(nextC[nextC[i][c-1]][c-1], nextC[nextC[i][26]][c])
#for i in range(L+2):
# print(nextC[i])
numPowers = int(log2(L))
nextPow = [(L+2)*[L+1] for _ in range(numPowers+1)]
for i in range(L+2):
nextPow[0][i] = nextC[i][26]
for power in range(1,numPowers+1):
for i in range(L):
nextPow[power][i] = nextPow[power-1][nextPow[power-1][i]]
#for i in range(L+2): print(nextC[i])
#print(nextPow, L)
for q in range(Q):
l,r = [int(_) for _ in input().split()]
l -= 1
#print(l,r, s[l:r])
p = 0
n = nextPow[0][l]
while n < r:
p += 1
n = nextPow[p][l]
if n == r:
print("Yes")
elif p == 0:
print("No")
else:
n = nextPow[p-1][l]
while n < r:
n = nextC[n][26]
if n == r:
print("Yes")
else:
print("No")
```
No
| 5,693 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are developing a robot that processes strings. When the robot is given a string t consisting of lowercase English letters, it processes the string by following the procedure below:
1. Let i be the smallest index such that t_i = t_{i + 1}. If such an index does not exist, terminate the procedure.
2. If t_i is `z`, remove t_i and t_{i + 1} from t. Otherwise, let c be the next letter of t_i in the English alphabet, and replace t_i and t_{i + 1} together with c, reducing the length of t by 1.
3. Go back to step 1.
For example, when the robot is given the string `axxxxza`, it will be processed as follows: `axxxxza` → `ayxxza` → `ayyza` → `azza` → `aa` → `b`.
You are given a string s consisting of lowercase English letters. Answer Q queries. The i-th query is as follows:
* Assume that the robot is given a substring of s that runs from the l_i-th character and up to the r_i-th character (inclusive). Will the string be empty after processing?
Constraints
* 1 ≤ |s| ≤ 5 × 10^5
* s consists of lowercase English letters.
* 1 ≤ Q ≤ 10^5
* 1 ≤ l_i ≤ r_i ≤ |s|
Input
The input is given from Standard Input in the following format:
s
Q
l_1 r_1
l_2 r_2
:
l_Q r_Q
Output
Print Q lines. The i-th line should contain the answer to the i-th query: `Yes` or `No`.
Examples
Input
axxxxza
2
1 7
2 6
Output
No
Yes
Input
aabcdefghijklmnopqrstuvwxyz
1
1 27
Output
Yes
Input
yzyyyzyzyyyz
8
1 6
7 12
1 12
6 11
1 1
1 3
4 9
3 8
Output
Yes
Yes
Yes
Yes
No
No
No
No
Submitted Solution:
```
def solve_loop(s):
count = 0
while len(s) > 1 and count < 100:
s = solve(s)
count += 1
return s
def solve(s):
for i in range(0, len(s)-1):
if s[i] == s[i+1]:
if s[i] == 'z':
s = s.replace(s[i:i+2], '')
else:
next_chr = chr(ord(s[i])+1)
s = s.replace(s[i:i+2], next_chr)
return s
return s
s = input()
q = int(input())
start = []
end = []
for i in range(0, q):
_input = input()
start.append(int(_input.split(' ')[0]))
end.append(int(_input.split(' ')[1]))
for i in range(0, q):
test_st = s[start[i]-1:end[i]]
opt_str = solve_loop(test_st)
if len(opt_str) == 0:
print('YES')
else:
print('NO')
```
No
| 5,694 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are developing a robot that processes strings. When the robot is given a string t consisting of lowercase English letters, it processes the string by following the procedure below:
1. Let i be the smallest index such that t_i = t_{i + 1}. If such an index does not exist, terminate the procedure.
2. If t_i is `z`, remove t_i and t_{i + 1} from t. Otherwise, let c be the next letter of t_i in the English alphabet, and replace t_i and t_{i + 1} together with c, reducing the length of t by 1.
3. Go back to step 1.
For example, when the robot is given the string `axxxxza`, it will be processed as follows: `axxxxza` → `ayxxza` → `ayyza` → `azza` → `aa` → `b`.
You are given a string s consisting of lowercase English letters. Answer Q queries. The i-th query is as follows:
* Assume that the robot is given a substring of s that runs from the l_i-th character and up to the r_i-th character (inclusive). Will the string be empty after processing?
Constraints
* 1 ≤ |s| ≤ 5 × 10^5
* s consists of lowercase English letters.
* 1 ≤ Q ≤ 10^5
* 1 ≤ l_i ≤ r_i ≤ |s|
Input
The input is given from Standard Input in the following format:
s
Q
l_1 r_1
l_2 r_2
:
l_Q r_Q
Output
Print Q lines. The i-th line should contain the answer to the i-th query: `Yes` or `No`.
Examples
Input
axxxxza
2
1 7
2 6
Output
No
Yes
Input
aabcdefghijklmnopqrstuvwxyz
1
1 27
Output
Yes
Input
yzyyyzyzyyyz
8
1 6
7 12
1 12
6 11
1 1
1 3
4 9
3 8
Output
Yes
Yes
Yes
Yes
No
No
No
No
Submitted Solution:
```
import sys
def func(s):
i = 0
found = False
for i, c in enumerate(s):
if i < len(s) - 1 and c == s[i+1]:
found = True
break
if found:
a = s[i]
s = s[:i] + s[i+2:]
if a != "z":
s = s[:i] + chr(ord(a) + 1) + s[i:]
return s
return "-"
if __name__ == "__main__":
input = sys.stdin.readlines()
string = input[0]
n = int(input[1])
for i in range(2, 2 + n):
lr = input[i]
l, r = lr.split(" ")
s = string[int(l)-1:int(r)]
result = func(s)
while result != "-":
if result == "":
print("Yes")
break
result = func(result)
else:
print("No")
```
No
| 5,695 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are developing a robot that processes strings. When the robot is given a string t consisting of lowercase English letters, it processes the string by following the procedure below:
1. Let i be the smallest index such that t_i = t_{i + 1}. If such an index does not exist, terminate the procedure.
2. If t_i is `z`, remove t_i and t_{i + 1} from t. Otherwise, let c be the next letter of t_i in the English alphabet, and replace t_i and t_{i + 1} together with c, reducing the length of t by 1.
3. Go back to step 1.
For example, when the robot is given the string `axxxxza`, it will be processed as follows: `axxxxza` → `ayxxza` → `ayyza` → `azza` → `aa` → `b`.
You are given a string s consisting of lowercase English letters. Answer Q queries. The i-th query is as follows:
* Assume that the robot is given a substring of s that runs from the l_i-th character and up to the r_i-th character (inclusive). Will the string be empty after processing?
Constraints
* 1 ≤ |s| ≤ 5 × 10^5
* s consists of lowercase English letters.
* 1 ≤ Q ≤ 10^5
* 1 ≤ l_i ≤ r_i ≤ |s|
Input
The input is given from Standard Input in the following format:
s
Q
l_1 r_1
l_2 r_2
:
l_Q r_Q
Output
Print Q lines. The i-th line should contain the answer to the i-th query: `Yes` or `No`.
Examples
Input
axxxxza
2
1 7
2 6
Output
No
Yes
Input
aabcdefghijklmnopqrstuvwxyz
1
1 27
Output
Yes
Input
yzyyyzyzyyyz
8
1 6
7 12
1 12
6 11
1 1
1 3
4 9
3 8
Output
Yes
Yes
Yes
Yes
No
No
No
No
Submitted Solution:
```
def solve_loop(s):
count = 0
while len(s) > 1 and count < 10000000:
s = solve(s)
count += 1
return s
def solve(s):
for i in range(0, len(s)-1):
if s[i] == s[i+1]:
if s[i] == 'z':
s = s.replace(s[i:i+2], '')
else:
next_chr = chr(ord(s[i])+1)
s = s.replace(s[i:i+2], next_chr)
return s
return s
s = input()
q = int(input())
start = []
end = []
for i in range(0, q):
_input = input()
start.append(int(_input.split(' ')[0]))
end.append(int(_input.split(' ')[1]))
for i in range(0, q):
test_st = s[start[i]-1:end[i]]
opt_str = solve_loop(test_st)
if len(opt_str) == 0:
print('YES')
else:
print('NO')
```
No
| 5,696 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer the deer recently bought three paint cans. The color of the one he bought two days ago is a, the color of the one he bought yesterday is b, and the color of the one he bought today is c. Here, the color of each paint can is represented by an integer between 1 and 100, inclusive.
Since he is forgetful, he might have bought more than one paint can in the same color. Count the number of different kinds of colors of these paint cans and tell him.
Constraints
* 1≦a,b,c≦100
Input
The input is given from Standard Input in the following format:
a b c
Output
Print the number of different kinds of colors of the paint cans.
Examples
Input
3 1 4
Output
3
Input
3 3 33
Output
2
"Correct Solution:
```
color = set(input().split())
print(len(color))
```
| 5,697 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer the deer recently bought three paint cans. The color of the one he bought two days ago is a, the color of the one he bought yesterday is b, and the color of the one he bought today is c. Here, the color of each paint can is represented by an integer between 1 and 100, inclusive.
Since he is forgetful, he might have bought more than one paint can in the same color. Count the number of different kinds of colors of these paint cans and tell him.
Constraints
* 1≦a,b,c≦100
Input
The input is given from Standard Input in the following format:
a b c
Output
Print the number of different kinds of colors of the paint cans.
Examples
Input
3 1 4
Output
3
Input
3 3 33
Output
2
"Correct Solution:
```
L = set(map(int, input().split()))
print(len(L))
```
| 5,698 |
Provide a correct Python 3 solution for this coding contest problem.
AtCoDeer the deer recently bought three paint cans. The color of the one he bought two days ago is a, the color of the one he bought yesterday is b, and the color of the one he bought today is c. Here, the color of each paint can is represented by an integer between 1 and 100, inclusive.
Since he is forgetful, he might have bought more than one paint can in the same color. Count the number of different kinds of colors of these paint cans and tell him.
Constraints
* 1≦a,b,c≦100
Input
The input is given from Standard Input in the following format:
a b c
Output
Print the number of different kinds of colors of the paint cans.
Examples
Input
3 1 4
Output
3
Input
3 3 33
Output
2
"Correct Solution:
```
s = {x for x in input().split()}
print(len(s))
```
| 5,699 |
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