message stringlengths 2 16.2k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 575 109k | cluster float64 16 16 | __index_level_0__ int64 1.15k 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
#41 A - Shrinking
import collections
s = list(input())
cnt = collections.Counter(s)
valcnt = list(cnt.values())
M = max(valcnt)
# 出現回数が最多の文字リスト
mkeys = [i for i,v in cnt.items() if v == M]
# 文字がすべて違うとき
if len(mkeys) == len(s):
print((len(s)+2-1)//2)
else:
ans = len(s)
for key in mkeys:
m = 0
cnt = 0
# 最多の文字の区間の最大値がその文字の最小値
for S in s:
if S == key:
m = max(m,cnt)
cnt = 0
else:
cnt += 1
m = max(m,cnt)
ans = min(ans,m)
ans = min(ans,(len(s)+2-1)//2)
print(ans)
``` | instruction | 0 | 31,651 | 16 | 63,302 |
No | output | 1 | 31,651 | 16 | 63,303 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
from math import ceil
from collections import defaultdict
S=input()
N=len(S)
D=defaultdict(int)
idx=defaultdict(int)
for i in range(N):
s=S[i]
nowd=D[s] #左にいくつあるか
if i-idx[s]>nowd:
D[s]=i-idx[s]
idx[s]=(i+1)
#print(D,idx)
ans=float("INF")
for k,v in D.items():
sub=0
i=idx[k]
if v>=N-i:
sub=v
else:
res=N-i
sub=v
sub+=ceil((N-i-v)/2)
#print(sub,v,i)
ans=min(ans, sub)
print(ans)
``` | instruction | 0 | 31,652 | 16 | 63,304 |
No | output | 1 | 31,652 | 16 | 63,305 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke can change a string t of length N into a string t' of length N - 1 under the following rule:
* For each i (1 ≤ i ≤ N - 1), the i-th character of t' must be either the i-th or (i + 1)-th character of t.
There is a string s consisting of lowercase English letters. Snuke's objective is to apply the above operation to s repeatedly so that all the characters in s are the same. Find the minimum necessary number of operations.
Constraints
* 1 ≤ |s| ≤ 100
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum necessary number of operations to achieve the objective.
Examples
Input
serval
Output
3
Input
jackal
Output
2
Input
zzz
Output
0
Input
whbrjpjyhsrywlqjxdbrbaomnw
Output
8
Submitted Solution:
```
# 2019/08/09
from collections import Counter
s=list(input())
n=len(s)
S=set(s)
if len(s)==len(S):
print(n//2)
exit()
if s.count(s[0])==len(s):
print(0)
exit()
c=Counter(s)
res=float('inf')
max_v=c.most_common(1)[0][1]
for k,v in c.most_common():
if v<max_v:break
r=0
l=0
cnt=0
while l<=r<n:
if s[r]==k:
cnt=max(r-l-1,cnt)
l=r
r+=1
if n==r:cnt=max(r-l-1,cnt)
if cnt==0:continue
res=min(res,cnt)
if res==float('inf'):
print(0)
else:print(res)
``` | instruction | 0 | 31,653 | 16 | 63,306 |
No | output | 1 | 31,653 | 16 | 63,307 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,654 | 16 | 63,308 |
"Correct Solution:
```
i,o,t,j,l,s,z=map(int,input().split())
res=0
if i>0 and j>0 and l>0 and i%2+j%2+l%2>=2:
res+=3
i-=1
j-=1
l-=1
res+=(i//2)*2
res+=o
res+=(j//2)*2
res+=(l//2)*2
print(res)
``` | output | 1 | 31,654 | 16 | 63,309 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,655 | 16 | 63,310 |
"Correct Solution:
```
i,o,t,j,l,s,z = map(int,input().split())
a = 0
b = 0
if i > 0 and j > 0 and l > 0:
a += 3
for k in [i-1,j-1,l-1]:
if k % 2 == 1:
a += k-1
else:
a += k
for k in [i,j,l]:
if k % 2 == 1:
b += k-1
else:
b += k
print(o + max(a,b))
``` | output | 1 | 31,655 | 16 | 63,311 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,656 | 16 | 63,312 |
"Correct Solution:
```
a = [int(x) for x in input().split()]
ans = 2*(a[0]//2 + a[3]//2 + a[4]//2) + 3*(1 & a[0] & a[3] & a[4])
if a[0] and a[3] and a[4]:
ans = max(ans, 2*((a[0]-1)//2 + (a[3]-1)//2 + (a[4]-1)//2) + 3)
print(int(ans + a[1]))
``` | output | 1 | 31,656 | 16 | 63,313 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,657 | 16 | 63,314 |
"Correct Solution:
```
a_i, a_o, a_t, a_j, a_l, a_s, a_z = map(int, input().split())
tri_use = min(a_j, a_l, a_i)
p1 = tri_use * 3
j_ex = a_j - tri_use
l_ex = a_l - tri_use
i_ex = a_i - tri_use
p2 = j_ex//2 * 2 + l_ex//2 * 2 + i_ex//2 * 2
extra = j_ex%2 + l_ex%2 + i_ex%2
p3 = 0
if tri_use >= 1:
if extra == 2:
p3 = 1
elif extra == 3:
p3 = 3
print(p1 + p2 + p3 + a_o)
``` | output | 1 | 31,657 | 16 | 63,315 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,658 | 16 | 63,316 |
"Correct Solution:
```
a,b,c,d,e,f,g=map(int,input().split())
check=[a%2,d%2,e%2]
if check.count(1)==3 or check.count(1)==0:
print(a+b+d+e)
elif check.count(1)==1:
print(a+b+d+e-1)
else:
if a*d*e>0:
print(a+b+d+e-1)
else:
print(a+b+d+e-2)
``` | output | 1 | 31,658 | 16 | 63,317 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,659 | 16 | 63,318 |
"Correct Solution:
```
a = list(map(int, input().split()))
b = a[:]
c = a[:]
def aa(a):
total = a[1]
i6 = min(a[0],a[3],a[4])
a[0] -= i6
a[3] -= i6
a[4] -= i6
total += i6 * 3
total += a[0]//2*2
total += a[3]//2 *2
total += a[4]//2 *2
return total
def bb(a):
total = a[1]
if a[0] > 0 and a[3]%2 == a[4]%2 == 1:
a[0] -= 1
a[3] -= 1
a[4] -= 1
total += 3
total += a[0]//2 * 2
total += a[3]//2 * 2
total += a[4]//2 * 2
return total
def cc(a):
total = a[1]
if (a[0]%2 == a[3]%2 == 1 and a[4]>0) or (a[0]%2 == a[4]%2 == 1 and a[3]>0) or(a[4]%2 == a[3]%2 == 1 and a[0]>0):
total += 3
a[0] -= 1
a[3] -= 1
a[4] -= 1
total += a[0]//2 * 2
total += a[3]//2 * 2
total += a[4]//2 * 2
if a[0]%2 == a[3]%2 == a[4]%2 == 1:
a[0] -= 1
a[3] -= 1
a[4] -= 1
total += 3
return total
print(max(aa(a),bb(b), cc(c)))
``` | output | 1 | 31,659 | 16 | 63,319 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,660 | 16 | 63,320 |
"Correct Solution:
```
i,o,t,j,l,s,z = map(int,input().split())
if i > 0 and j > 0 and l > 0:
print(max(o + i//2*2 + j//2*2 + l//2*2,o + (i-1)//2*2 + (j-1)//2*2 + (l-1)//2*2 + 3))
else:
print(o + i//2*2 + j//2*2 + l//2*2)
``` | output | 1 | 31,660 | 16 | 63,321 |
Provide a correct Python 3 solution for this coding contest problem.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0 | instruction | 0 | 31,661 | 16 | 63,322 |
"Correct Solution:
```
i,o,t,j,l,s,z=map(int,input().split())
a=(i//2+j//2+l//2)*2
print([a,max(a,((i-1)//2+(j-1)//2+(l-1)//2)*2+3)][not(not(i and j and l))]+o)
``` | output | 1 | 31,661 | 16 | 63,323 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10 ** 7)
I,O,T,J,L,S,Z = map(int,input().split())
# T,S,Z は無関係
# I,O,J,Lに注目
# Oは足すだけ
# I,J,Lが問題
# II, JIL, JJ, LL
x = (I//2 + J//2 + L//2) * 2
if I>0 and J>0 and L>0:
x = max(x,((I-1)//2 + (J-1)//2 + (L-1)//2) * 2 + 3)
x += O
print(x)
``` | instruction | 0 | 31,662 | 16 | 63,324 |
Yes | output | 1 | 31,662 | 16 | 63,325 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
i,o,t,j,l,s,z=map(int,input().split())
ans=0
#oは加えるしか使い道がないので加算。
ans+=o
#j,lは2つずつ使って2を作るかi,j,lを1つずつ使って3を作るか
#最適戦略は3種の偶奇について、2種類以上が偶数個になるまで3を作ること(最大試行1回)。
#その後、各種2N個ずつ消費していけば、無駄になる個数を最小化できる。
if i>0 and j>0 and l>0:
evn=0
if j%2==0:
evn+=1
if l%2==0:
evn+=1
if i%2==0:
evn+=1
#奇数個の種類が多いのならば1度だけ3を作る。
if evn<2:
ans+=3
i-=1
j-=1
l-=1
#あとは全て2つずつ組み合わせていくのが最適。
ans+=(i//2)*2
ans+=(j//2)*2
ans+=(l//2)*2
#その他のピースでは長方形は作れない。
print(ans)
``` | instruction | 0 | 31,663 | 16 | 63,326 |
Yes | output | 1 | 31,663 | 16 | 63,327 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
A=list(map(int,input().split()))
print(A[1]+(A[0]//2+A[3]//2+A[4]//2)*2 if 0 in (A[0],A[3],A[4]) or A[0]%2+A[3]%2+A[4]%2<2 else A[1]+((A[0]-1)//2+(A[3]-1)//2+(A[4]-1)//2)*2+3)
``` | instruction | 0 | 31,664 | 16 | 63,328 |
Yes | output | 1 | 31,664 | 16 | 63,329 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
a_i,a_o,a_t,a_j,a_l,a_s,a_z=map(int,input().split())
ans1=a_o
if min(a_i,a_j,a_l)==0:
ans2=2*(a_i//2+a_j//2+a_l//2)
else:
ans2=max(2*(a_i//2+a_j//2+a_l//2),3+2*((a_i-1)//2+(a_j-1)//2+(a_l-1)//2))
print(ans1+ans2)
``` | instruction | 0 | 31,665 | 16 | 63,330 |
Yes | output | 1 | 31,665 | 16 | 63,331 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
import math
a = list(map(int, input().split()))
ans = 0
i = 2 * math.floor(0.5 * a[0])
if a[5] or a[2] or a[6]:
pass
else:
if a[3] == a[4]:
ans = ans + a[3] * 2
ans = ans + i + a[1]
print(ans)
``` | instruction | 0 | 31,666 | 16 | 63,332 |
No | output | 1 | 31,666 | 16 | 63,333 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
A = [int(i) for i in input().split()]
B = [A[1],A[0],A[3],A[4]]
ans = 0
ans += B[0]
if min(B[1:]) == 0:
for b in B[1:]:
if b%2 == 0:
ans += 2
elif not sum([i%2 for i in B[1:]])%3:
ans += sum(B[1:])
else:
ans += sum(B[1:])-1
print(ans)
``` | instruction | 0 | 31,667 | 16 | 63,334 |
No | output | 1 | 31,667 | 16 | 63,335 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
I, O, T, J, L, S, Z = list(map(int, input().split()))
a = O
a += (I >> 1) << 1
a += (J >> 1) << 1
a += (L >> 1) << 1
if I & 1 and J & 1 and L & 1:
a += 3
print(a)
``` | instruction | 0 | 31,668 | 16 | 63,336 |
No | output | 1 | 31,668 | 16 | 63,337 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A tetromino is a figure formed by joining four squares edge to edge. We will refer to the following seven kinds of tetromino as I-, O-, T-, J-, L-, S- and Z-tetrominos, respectively:
a60bcb8e9e8f22e3af51049eda063392.png
Snuke has many tetrominos. The number of I-, O-, T-, J-, L-, S- and Z-tetrominos in his possession are a_I, a_O, a_T, a_J, a_L, a_S and a_Z, respectively. Snuke will join K of his tetrominos to form a rectangle that is two squares tall and 2K squares wide. Here, the following rules must be followed:
* When placing each tetromino, rotation is allowed, but reflection is not.
* Each square in the rectangle must be covered by exactly one tetromino.
* No part of each tetromino may be outside the rectangle.
Snuke wants to form as large a rectangle as possible. Find the maximum possible value of K.
Constraints
* 0≤a_I,a_O,a_T,a_J,a_L,a_S,a_Z≤10^9
* a_I+a_O+a_T+a_J+a_L+a_S+a_Z≥1
Input
The input is given from Standard Input in the following format:
a_I a_O a_T a_J a_L a_S a_Z
Output
Print the maximum possible value of K. If no rectangle can be formed, print `0`.
Examples
Input
2 1 1 0 0 0 0
Output
3
Input
0 0 10 0 0 0 0
Output
0
Submitted Solution:
```
aI, aO, aT, aJ, aL, aS, aZ = map(int, input().split())
if aL%2 and aJ%2:
print(int((aI-1)/2)*2+aO+int(aJ/2)*2+int(aL/2)*2+3)
else:
print(int(aI/2)*2+aO+int(aJ/2)*2+int(aL/2)*2)
``` | instruction | 0 | 31,669 | 16 | 63,338 |
No | output | 1 | 31,669 | 16 | 63,339 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,351 | 16 | 64,702 |
"Correct Solution:
```
l = ['R', 'Y', 'G', 'B']
h, w, d = map(int, input().split())
res = [[None] * 1000 for _ in range(1000)]
for i in range(1000):
if (i // d) % 2 == 0:
for j in range(1000):
res[i][j] = l[(j // d + 2) % 4]
else:
for j in range(1000):
res[i][j] = l[j // d % 4]
ans = [[None] * w for _ in range(h)]
for i in range(h):
for j in range(w):
ans[i][j] = res[i + j][h - i - 1 + j]
for row in ans:
print(''.join(row))
``` | output | 1 | 32,351 | 16 | 64,703 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,352 | 16 | 64,704 |
"Correct Solution:
```
H, W, d = map(int, input().split())
ret = [['RGBY'[(i + j) // d % 2 + (i - j) // d % 2 * 2] for j in range(W)] for i in range(H)]
for a in ret:
print(''.join(a))
``` | output | 1 | 32,352 | 16 | 64,705 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,353 | 16 | 64,706 |
"Correct Solution:
```
H, W, d = map(int, input().split())
C = ["R", "Y", "G", "B"]
if d%2==1:
for i in range(H):
out = ""
for j in range(W):
out += C[(i+j)%4]
print(out)
elif d%4 == 2:
for i in range(H):
out = ""
for j in range(W):
out += C[i%2*2+(i//2+j//2)%2]
print(out)
else:
for i in range(H):
out = ""
for j in range(W):
out += C[(i+j)//d%2*2+(i-j)//d%2]
print(out)
``` | output | 1 | 32,353 | 16 | 64,707 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,354 | 16 | 64,708 |
"Correct Solution:
```
import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))
write = lambda x: sys.stdout.write(x+"\n")
h,w,d = list(map(int, input().split()))
v = [[0]*(h+w) for _ in range(h+w)]
dd = {(0,0): "R", (0,1): "Y", (1,0): "G", (1,1): "B"}
for i in range(h+w):
for j in range(h+w):
v[i][j] = dd[(i//d)%2, (j//d)%2]
ans = [[0]*w for _ in range(h)]
for i in range(h):
for j in range(w):
ans[i][j] = v[i+j][i-j+w]
for i in range(h):
write("".join(ans[i]))
``` | output | 1 | 32,354 | 16 | 64,709 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,355 | 16 | 64,710 |
"Correct Solution:
```
import sys
H,W,d=map(int,input().split())
if d%2==1:
l=W//4+1
reg=list("RYGB"*l)
for j in range(H):
a=reg.pop(0)
reg+=a
print("".join(map(str,reg))[:W])
else:
for i in range(H):
c="RYGB"
ans = []
for j in range(W):
b1 = ((i-j) // d) % 2
b2 = ((i+j) // d) % 2
ans+= c[b1 * 2 + b2]
print("".join(ans))
``` | output | 1 | 32,355 | 16 | 64,711 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,356 | 16 | 64,712 |
"Correct Solution:
```
n, m, d = map(int, input().strip().split())
c = "RYGB"
if d % 2 == 1:
for i in range(n):
print("".join([c[(i + j) % 2] for j in range(m)]))
else:
for i in range(n):
result = []
for j in range(m):
b1 = ((i + j) // d) % 2
b2 = ((i - j) // d) % 2
result += c[b1 * 2 + b2]
print("".join(result))
``` | output | 1 | 32,356 | 16 | 64,713 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,357 | 16 | 64,714 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
def main():
H, W, d = map(int, input().split())
color = ("R", "Y", "G", "B")
d2 = d * 2
for i in range(H):
tmp = ""
for j in range(W):
tmp += color[2 * (((i+j) % d2) < d) + (((i-j) % d2) < d)]
print(tmp)
if __name__ == "__main__":
main()
``` | output | 1 | 32,357 | 16 | 64,715 |
Provide a correct Python 3 solution for this coding contest problem.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB | instruction | 0 | 32,358 | 16 | 64,716 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
import heapq
import math
import sys
tmp = input()
H, W, d = [int(a) for a in tmp.split()]
def decide_color(i, j, d2):
x = i + j
y = i - j
if y < 0:
y += (d2 * 2) * max(H, W)
kinds = [a % (d2*2) < d2 for a in [x, y]]
ids = [0 if k else 1 for k in kinds]
#return '/'+str(x)+str(y)+'/'
return [['R', 'Y'], ['G', 'B']][ids[0]][ids[1]]
def decide_color2(i, j):
return ['R', 'Y'][(i+j) % 2]
if d % 2 == 1:
for i in range(H):
print(''.join([decide_color2(i, j) for j in range(W)]))
else:
for i in range(H):
print(''.join([decide_color(i, j, d) for j in range(W)]))
``` | output | 1 | 32,358 | 16 | 64,717 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB
Submitted Solution:
```
H,W,D=map(int,input().split())
if D&1:
S='RY'*(W+1)
for i in range(H):
print(S[i&1:W+(i&1)])
exit()
x=D>>1
M=max(H,W)<<2
Q=[[0]*(M+1) for j in range(M+1)]
S='RYGB'
for i in range(M+1):
for j in range(M+1):
Q[i][j]=((j//x)&1)+((i//(x*2))&1)*2
P=[[0]*W for i in range(H)]
M>>=1
for i in range(H):
for j in range(W):
P[i][j]=S[Q[M+i+j][M+((j-i)>>1)]]
for i in range(H):
print(*P[i],sep='')
``` | instruction | 0 | 32,361 | 16 | 64,722 |
Yes | output | 1 | 32,361 | 16 | 64,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB
Submitted Solution:
```
mod = 1000000007
eps = 10**-9
def main():
import sys
input = sys.stdin.readline
H, W, d = map(int, input().split())
N = 1500
grid = [[""] * N for _ in range(N)]
if d & 1:
ans = [[""] * W for _ in range(H)]
for h in range(H):
for w in range(W):
if (h+w) & 1:
ans[h][w] = "R"
else:
ans[h][w] = "B"
for h in range(H):
print("".join(ans[h]))
exit()
grid = [[""] * N for _ in range(N)]
e = (d-2) // 2
for h in range(N):
if h * d >= N:
break
for w in range(N):
if w * d >= N:
break
if (h+w) & 1:
c = "R"
else:
c = "B"
for hh in range(h*d - e, h*d + e + 1):
for ww in range(w*d - e, w*d + e + 1):
if 0 <= hh < N and 0 <= ww < N and abs(h*d-hh) + abs(w*d-ww) <= e:
grid[hh][ww] = c
for h in range(N):
if h * d + d//2 >= N:
break
for w in range(N):
if w * d + d//2 >= N:
break
if (h+w) & 1:
c = "Y"
else:
c = "G"
for hh in range(h*d + d//2 - e, h*d + d//2 + e + 1):
for ww in range(w*d + d//2 - e, w*d + d//2 + e + 1):
if 0 <= hh < N and 0 <= ww < N and abs(h*d + d//2 - hh) + abs(w*d + d//2 - ww) <= e:
grid[hh][ww] = c
for h in range(1, N):
for w in range(N):
if grid[h][w] == "":
grid[h][w] = grid[h-1][w]
for h in range(501, 500+H+1):
print("".join(grid[h][501:500+W+1]))
if __name__ == '__main__':
main()
``` | instruction | 0 | 32,362 | 16 | 64,724 |
Yes | output | 1 | 32,362 | 16 | 64,725 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB
Submitted Solution:
```
import sys
H,W,d=map(int,input().split())
if d%2==1:
l=W//4+1
reg=list("RYGB"*l)
for j in range(H):
a=reg.pop(0)
reg+=a
print("".join(map(str,reg))[:W])
else:
for i in range(H):
ans = []
for j in range(W):
b1 = ((i+j) // d) % 2
b2 = ((i-j) // d) % 2
result += c[b1 * 2 + b2]
print("".join(result))
``` | instruction | 0 | 32,364 | 16 | 64,728 |
No | output | 1 | 32,364 | 16 | 64,729 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB
Submitted Solution:
```
h,w,d = map(int,input().split())
if d%2:
for i in range(h):
for j in range(w):
if (i+j)%2:
print("R",end="")
else:
print("G",end="")
print()
else:
cell = [["A" for i in range(2*d)] for j in range(2*d)]
for i in range(d):
for j in range(d):
if (i+j)%2 == (d//2-1)%2:
if abs(i-j) <= d//2-1 and d//2-1 <= i+j <= d+1:
cell[i][j] = "R"
elif j and cell[i][j-1] == "R":
cell[i][j] = "R"
for i in range(2*d):
for j in range(2*d):
if cell[(i-d)%(2*d)][(j-d)%(2*d)] == "R":
cell[i][j] = "R"
elif cell[(i-d//2)%(2*d)][(j-d//2)%(2*d)] == "R" or cell[(i+d//2)%(2*d)][(j+d//2)%(2*d)] == "R" :
cell[i][j] = "G"
elif cell[(i-d)%(2*d)][j] == "R" or cell[i][(j-d)%(2*d)] == "R":
cell[i][j] = "B"
elif cell[i][j] == "A":
cell[i][j] = "Y"
ans = [["A" for i in range(w)] for j in range(h)]
for i in range(h):
for j in range(w):
x = cell[i%(2*d)][j%(2*d)]
ans[i][j] = x
print(*ans[i],sep="")
``` | instruction | 0 | 32,365 | 16 | 64,730 |
No | output | 1 | 32,365 | 16 | 64,731 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a grid with H rows and W columns of squares. We will represent the square at the i-th row from the top and j-th column from the left as (i,\ j). Also, we will define the distance between the squares (i_1,\ j_1) and (i_2,\ j_2) as |i_1 - i_2| + |j_1 - j_2|.
Snuke is painting each square in red, yellow, green or blue. Here, for a given positive integer d, he wants to satisfy the following condition:
* No two squares with distance exactly d have the same color.
Find a way to paint the squares satisfying the condition. It can be shown that a solution always exists.
Constraints
* 2 ≤ H, W ≤ 500
* 1 ≤ d ≤ H + W - 2
Input
Input is given from Standard Input in the following format:
H W d
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Output
Print a way to paint the squares satisfying the condition, in the following format. If the square (i,\ j) is painted in red, yellow, green or blue, c_{ij} should be `R`, `Y`, `G` or `B`, respectively.
c_{11}c_{12}...c_{1W}
:
c_{H1}c_{H2}...c_{HW}
Examples
Input
2 2 1
Output
RY
GR
Input
2 3 2
Output
RYB
RGB
Submitted Solution:
```
import sys
H,W,d=map(int,input().split())
if d%2==1:
l=W//4+1
reg=list("RYGB"*l)
for j in range(H):
a=reg.pop(0)
reg+=a
print("".join(map(str,reg))[:W])
else:
l=W//8+1
reg=list("RRYYGGBB"*l)
for j in range(H):
a=reg.pop(0)
reg+=a
a=reg.pop(0)
reg+=a
a=reg.pop(0)
reg+=a
print("".join(map(str,reg))[:W])
``` | instruction | 0 | 32,366 | 16 | 64,732 |
No | output | 1 | 32,366 | 16 | 64,733 |
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 2N: A_1, A_2, ..., A_{2N}. Each A_i is either -1 or an integer between 1 and 2N (inclusive). Any integer other than -1 appears at most once in {A_i}.
For each i such that A_i = -1, Snuke replaces A_i with an integer between 1 and 2N (inclusive), so that {A_i} will be a permutation of 1, 2, ..., 2N. Then, he finds a sequence of length N, B_1, B_2, ..., B_N, as B_i = min(A_{2i-1}, A_{2i}).
Find the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 300
* A_i = -1 or 1 \leq A_i \leq 2N.
* If A_i \neq -1, A_j \neq -1, then A_i \neq A_j. (i \neq j)
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_{2N}
Output
Print the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7.
Examples
Input
3
1 -1 -1 3 6 -1
Output
5
Input
4
7 1 8 3 5 2 6 4
Output
1
Input
10
7 -1 -1 -1 -1 -1 -1 6 14 12 13 -1 15 -1 -1 -1 -1 20 -1 -1
Output
9540576
Input
20
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 6 -1 -1 -1 -1 -1 7 -1 -1 -1 -1 -1 -1 -1 -1 -1 34 -1 -1 -1 -1 31 -1 -1 -1 -1 -1 -1 -1 -1
Output
374984201
Submitted Solution:
```
n = int(input())
a = [int(i) for i in input().split()]
b = []
d = []
for i in range(len(a)):
b.append(a[2i]-a[2i+1])
c = [i for i in a.split() if i != '-1']
c = list(set(range(1,len(a)+1) ^ set(c))
for i in range(len(b)):
if b[i]-1 == a[2*i]:
d.append([i for i in c if i < a[2*i]] + [a[2*i]])
elif b[i]+a[2*i] == -1:
d.append([i for i in c if i < a[2*i+1]] + [a[2*i]+1])
elif b[i] == 0:
d.append([i for i in c if i != max(c)])
f = 1
for i in d:
f *= len(i)
for i in range(len(c)):
if [e for i in d for e in i].count(c[i]) >= 2:
g = 1
for j in d:
g *= len(j)-j.count(c[i])
f -= g
print(f)
``` | instruction | 0 | 33,181 | 16 | 66,362 |
No | output | 1 | 33,181 | 16 | 66,363 |
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 2N: A_1, A_2, ..., A_{2N}. Each A_i is either -1 or an integer between 1 and 2N (inclusive). Any integer other than -1 appears at most once in {A_i}.
For each i such that A_i = -1, Snuke replaces A_i with an integer between 1 and 2N (inclusive), so that {A_i} will be a permutation of 1, 2, ..., 2N. Then, he finds a sequence of length N, B_1, B_2, ..., B_N, as B_i = min(A_{2i-1}, A_{2i}).
Find the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7.
Constraints
* 1 \leq N \leq 300
* A_i = -1 or 1 \leq A_i \leq 2N.
* If A_i \neq -1, A_j \neq -1, then A_i \neq A_j. (i \neq j)
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_{2N}
Output
Print the number of different sequences that B_1, B_2, ..., B_N can be, modulo 10^9 + 7.
Examples
Input
3
1 -1 -1 3 6 -1
Output
5
Input
4
7 1 8 3 5 2 6 4
Output
1
Input
10
7 -1 -1 -1 -1 -1 -1 6 14 12 13 -1 15 -1 -1 -1 -1 20 -1 -1
Output
9540576
Input
20
-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 6 -1 -1 -1 -1 -1 7 -1 -1 -1 -1 -1 -1 -1 -1 -1 34 -1 -1 -1 -1 31 -1 -1 -1 -1 -1 -1 -1 -1
Output
374984201
Submitted Solution:
```
n = int(input())
a = [int(i) for i in input().split()]
b = []
d = []
for i in range(len(a)):
b.append(a[2*i]-a[2*i+1])
c = [i for i in a.split() if i != '-1']
c = list(set(range(1,len(a)+1) ^ set(c)))
for i in range(len(b)):
if b[i]-1 == a[2*i]:
d.append([i for i in c if i < a[2*i]] + [a[2*i]])
elif b[i]+a[2*i] == -1:
d.append([i for i in c if i < a[2*i+1]] + [a[2*i]+1])
elif b[i] == 0:
d.append([i for i in c if i != max(c)])
f = 1
for i in d:
f *= len(i)
for i in range(len(c)):
if [e for i in d for e in i].count(c[i]) >= 2:
g = 1
for j in d:
g *= len(j)-j.count(c[i])
f -= g
print(f)
``` | instruction | 0 | 33,182 | 16 | 66,364 |
No | output | 1 | 33,182 | 16 | 66,365 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N non-negative integers written on the blackboard: A_1, ..., A_N.
Snuke can perform the following two operations at most K times in total in any order:
* Operation A: Replace each integer X on the blackboard with X divided by 2, rounded down to the nearest integer.
* Operation B: Replace each integer X on the blackboard with X minus 1. This operation cannot be performed if one or more 0s are written on the blackboard.
Find the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007.
Constraints
* 1 \leq N \leq 200
* 1 \leq A_i \leq 10^{18}
* 1 \leq K \leq 10^{18}
* A_i and K are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007.
Examples
Input
2 2
5 7
Output
6
Input
3 4
10 13 22
Output
20
Input
1 100
10
Output
11
Input
10 123456789012345678
228344079825412349 478465001534875275 398048921164061989 329102208281783917 779698519704384319 617456682030809556 561259383338846380 254083246422083141 458181156833851984 502254767369499613
Output
164286011
Submitted Solution:
```
#!/usr/bin/env python3
M = 10 ** 9 + 7
def solve(n, k, a):
a_min = min(a)
a_max = max(a)
r = 0
i = 0
p = 1
for i in range(k + 1):
q_min, q_max = a_min // p, a_max // p
if q_min == q_max:
if q_min == 0:
r += 1
r %= M
break
else:
r += min(q_min - q_min // 2, k - i + 1)
r %= M
else:
b = [v % p for v in a]
b.sort()
h_max = k - i
r += min(q_min, k - i) + 1
r %= M
lb = b[0]
for j in range(1, n):
if lb != b[j]:
bj = b[j]
c = 0
h = 0
q = p // 2
f = False
while 0 < q:
if (bj // q) % 2 == 1:
c += q
h += 1
if (lb // q) % 2 != 1:
f = True
break
elif h == h_max:
break
q //= 2
if c <= a_min:
if f:
r += min((a_min - c) // p, k - (i + h)) + 1
r %= M
if (a_max - c) // p == 0:
return r
lb = bj
else:
continue
else:
break
if q_min == 1 and q_max == 2:
break
p *= 2
return r
def main():
n, k = input().split()
n = int(n)
k = int(k)
a = list(map(int, input().split()))
print(solve(n, k, a))
if __name__ == '__main__':
main()
``` | instruction | 0 | 33,199 | 16 | 66,398 |
No | output | 1 | 33,199 | 16 | 66,399 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N non-negative integers written on the blackboard: A_1, ..., A_N.
Snuke can perform the following two operations at most K times in total in any order:
* Operation A: Replace each integer X on the blackboard with X divided by 2, rounded down to the nearest integer.
* Operation B: Replace each integer X on the blackboard with X minus 1. This operation cannot be performed if one or more 0s are written on the blackboard.
Find the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007.
Constraints
* 1 \leq N \leq 200
* 1 \leq A_i \leq 10^{18}
* 1 \leq K \leq 10^{18}
* A_i and K are integers.
Input
Input is given from Standard Input in the following format:
N K
A_1 A_2 ... A_N
Output
Print the number of the different possible combinations of integers written on the blackboard after Snuke performs the operations, modulo 1,000,000,007.
Examples
Input
2 2
5 7
Output
6
Input
3 4
10 13 22
Output
20
Input
1 100
10
Output
11
Input
10 123456789012345678
228344079825412349 478465001534875275 398048921164061989 329102208281783917 779698519704384319 617456682030809556 561259383338846380 254083246422083141 458181156833851984 502254767369499613
Output
164286011
Submitted Solution:
```
# -*- coding: utf-8 -*-
def fun_A(L):
A = list(map(int, [x / 2 for x in L]))
return A
def fun_B(L):
A = [x - 1 for x in L]
return A
def fun_seq(K, func_list):
if len(func_list[-1]) >= K:
return
length = len(func_list[-1])
temp = 2 ** length
for i in func_list[-temp:]:
func_list.append(i + 'A')
func_list.append(i + 'B')
fun_seq(K, func_list)
if __name__ == '__main__':
N, K = map(int, input().split())
A = list(map(int, input().split()))
func_list = ['A', 'B']
fun_seq(K, func_list)
#print(len(func_list), func_list)
count = 0
for i in func_list:
for j in i:
if j == 'A':
A = fun_A(A)
if j == 'B' and 0 not in A:
A = fun_B(A)
else:
continue
count += 1
print(count % 1000000007)
``` | instruction | 0 | 33,200 | 16 | 66,400 |
No | output | 1 | 33,200 | 16 | 66,401 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,201 | 16 | 66,402 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
for i in range(1,n):
a[i]+=a[i-1]
ABS=10**15
for i in range(n-1):
ABS=min(abs(a[-1]-2*a[i]),ABS)
print(ABS)
``` | output | 1 | 33,201 | 16 | 66,403 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,202 | 16 | 66,404 |
"Correct Solution:
```
n=int(input())
l=list(map(int,input().split()))
sum_l=sum(l)
X=0
ans=10**10
for i in range(n-1):
X+=l[i]
ans=min(ans,abs(sum_l-2*X))
print(ans)
``` | output | 1 | 33,202 | 16 | 66,405 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,203 | 16 | 66,406 |
"Correct Solution:
```
from itertools import*;*a,s=list(accumulate(map(int,open(0).read().split()[1:])));print(min(abs(s-x*2)for x in a))
``` | output | 1 | 33,203 | 16 | 66,407 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,204 | 16 | 66,408 |
"Correct Solution:
```
n = int(input())
a = list(map(int,input().split()))
ans,box= 0,[]
sum = sum(a)
for i in range(n-1):
ans += a[i]
sum -= a[i]
box.append(abs(ans-sum))
print(min(box))
``` | output | 1 | 33,204 | 16 | 66,409 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,205 | 16 | 66,410 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
total=sum(a)
ans=[]
x=0
for i in range(n-1):
x+=a[i]
y=total-x
ans.append(abs(x-y))
print(min(ans))
``` | output | 1 | 33,205 | 16 | 66,411 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,206 | 16 | 66,412 |
"Correct Solution:
```
n,*a=map(int,open(0).read().split())
s=[0]
ans=10**20
for i in range(len(a)):
s+=[a[i]+s[-1]]
for i in range(1,len(s)-1):
ans=min(ans,abs(s[-1]-2*s[i]))
print(ans)
``` | output | 1 | 33,206 | 16 | 66,413 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,207 | 16 | 66,414 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
m=sum(a)
x=0
l=[]
for i in a[:-1]:
x+=i
l+=[abs(2*x-m)]
print(min(l))
``` | output | 1 | 33,207 | 16 | 66,415 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20 | instruction | 0 | 33,208 | 16 | 66,416 |
"Correct Solution:
```
n = int(input())
a = list(map(int,input().split()))
S = sum(a)
d = [0]*n
for i in range(1,n): d[i] += d[i-1]+a[i-1]
ans = [abs(S-2*d[i]) for i in range(1,n)]
print(min(ans))
``` | output | 1 | 33,208 | 16 | 66,417 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20
Submitted Solution:
```
n,*a=map(int,open(0).read().split())
ans=10**100
b=sum(a)
c=0
for i in a[:-1]:
c+=i
b-=i
ans=min(ans,abs(b-c))
print(ans)
``` | instruction | 0 | 33,209 | 16 | 66,418 |
Yes | output | 1 | 33,209 | 16 | 66,419 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split()))
x = 0
y = sum(a)
ans = 10**10
for i in range(n-1):
x += a[i]
y -= a[i]
ans = min(abs(x-y), ans)
print(ans)
``` | instruction | 0 | 33,210 | 16 | 66,420 |
Yes | output | 1 | 33,210 | 16 | 66,421 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20
Submitted Solution:
```
_,*a=map(int,open(0).read().split());s,t=sum(a),0;l=[]
for i in a:t+=i;l+=[abs(s-t*2)]
print(min(l[:-1]))
``` | instruction | 0 | 33,211 | 16 | 66,422 |
Yes | output | 1 | 33,211 | 16 | 66,423 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20
Submitted Solution:
```
N=int(input())
an=list(map(int,input().split()))
s=sum(an)
b = an[0]
l=[]
a = abs(s-2*b)
for i in range(1,N-1):
b = b + an[i]
a=min(a,abs(s-2*b))
print(a)
``` | instruction | 0 | 33,212 | 16 | 66,424 |
Yes | output | 1 | 33,212 | 16 | 66,425 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20
Submitted Solution:
```
if(__name__ == "__main__"):
N = int(input())
a = [int(i) for i in input().split()]
#print(a,b)
#print(maxlist)
distmin = 900000
for i in range(1,N):
sunuke = a[:i]
arai = a[i:]
dist = abs(sum(sunuke) - sum(arai))
if(distmin > dist):
distmin = dist
print(distmin)
``` | instruction | 0 | 33,213 | 16 | 66,426 |
No | output | 1 | 33,213 | 16 | 66,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke and Raccoon have a heap of N cards. The i-th card from the top has the integer a_i written on it.
They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.
Let the sum of the integers on Snuke's cards and Raccoon's cards be x and y, respectively. They would like to minimize |x-y|. Find the minimum possible value of |x-y|.
Constraints
* 2 \leq N \leq 2 \times 10^5
* -10^{9} \leq a_i \leq 10^{9}
* a_i is an integer.
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_{N}
Output
Print the answer.
Examples
Input
6
1 2 3 4 5 6
Output
1
Input
2
10 -10
Output
20
Submitted Solution:
```
nums = [int(x) for x in input().split()]
N = nums[0],nums[1]
A = [int(x) for x in input().split()]
X = sum(A)
MIN = 10**8
for i in range(N):
s = A[0:i]
MIN = (MIN,abs(X - 2*sum(s)))
print(MIN)
``` | instruction | 0 | 33,214 | 16 | 66,428 |
No | output | 1 | 33,214 | 16 | 66,429 |
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