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 has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
r, g, b, n = map(int, input().split())
cnt = 0
for i in range(0, n + 1, r):
for j in range(0, n - i + 1, g):
if (n - i - j) % b == 0:
cnt += 1
print(cnt)
``` | instruction | 0 | 61,310 | 16 | 122,620 |
Yes | output | 1 | 61,310 | 16 | 122,621 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
r, g, b, n = map(int, input().split())
l = [r, g, b]
l.sort()
N1 = n // l[2]
N2 = n // l[1]
N3 = n // l[0]
cnt = 0
for i in range(N1+1):
for j in range(N2+1):
for k in range(N3+1):
if i*l[2] + j*l[1]+ k*l[0]==n:
cnt += 1
print(cnt)
``` | instruction | 0 | 61,311 | 16 | 122,622 |
No | output | 1 | 61,311 | 16 | 122,623 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
# div2019B - RGB Boxes
r, g, b, n = list(map(int, input().rstrip().split()))
x = n // min(r, g, b) + 1
cnt = 0
for i in range(x):
for j in range(x):
if (n - (i * r + j * g)) >= 0 and (n - (i * r + j * g)) % b == 0:
cnt += 1
print(cnt)
``` | instruction | 0 | 61,312 | 16 | 122,624 |
No | output | 1 | 61,312 | 16 | 122,625 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
r,g,b,n=map(int,input().split())
ans=0
ir=0
ig=0
ib=0
li=[]
li.append(r)
li.append(g)
li.append(b)
li.sort(reverse=True)
r=li[0]
g=li[1]
b=li[2]
while n>=ir*r:
if r == 1:
while n>=ig*g:
if g==1:
i=ig=n
if (n - (ir * r + ig * g)) / b >= 0:
if (n-(ir*r+ig*g))%b==0:
ans=ans+n
else:
i = ig = n
if (n - (ir * r + ig * g)) / b >= 0:
if (n - (ir * r + ig * g)) % b == 0:
ans = ans + 1
ig = ig + 1
ir = n
ig=0
ans=ans*n
else:
while n >= ig * g:
if (n - (ir * r + ig * g)) / b >= 0:
if (n - (ir * r + ig * g)) % b == 0:
ans = ans + 1
ig = ig + 1
ir = ir + 1
ig = 0
print(ans)
``` | instruction | 0 | 61,313 | 16 | 122,626 |
No | output | 1 | 61,313 | 16 | 122,627 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
R, G, B, N = map(int, input().split())
rmax = N // R
gmax = N // G
cnt = 0
for r in range(rmax + 1):
for g in range(gmax + 1):
rest = N - R * r - G * g
if rest >= 0 and rest % B == 0:
cnt += 1
print(cnt)
``` | instruction | 0 | 61,314 | 16 | 122,628 |
No | output | 1 | 61,314 | 16 | 122,629 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,344 | 16 | 122,688 |
"Correct Solution:
```
A,B=map(int,input().split())
if A%3 > 0 and B%3 > 0 and (A+B)%3 > 0:
print('Impossible')
else:
print('Possible')
``` | output | 1 | 61,344 | 16 | 122,689 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,345 | 16 | 122,690 |
"Correct Solution:
```
A,B=map(int,input().split())
print(["Impossible","Possible"][A%3==0 or B%3==0 or (A+B)%3==0])
``` | output | 1 | 61,345 | 16 | 122,691 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,346 | 16 | 122,692 |
"Correct Solution:
```
a, b = map(int, input().split())
print(["Impossible", "Possible"][a % 3 == 0 or b % 3 == 0 or (a + b) % 3 == 0])
``` | output | 1 | 61,346 | 16 | 122,693 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,347 | 16 | 122,694 |
"Correct Solution:
```
A,B=map(int,input().split())
print('Possible' if (A%3==0 or B%3==0 or (A+B)%3==0) else 'Impossible')
``` | output | 1 | 61,347 | 16 | 122,695 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,348 | 16 | 122,696 |
"Correct Solution:
```
X,Y=map(int,input().split())
if X%3==0 or Y%3==0 or (X+Y)%3==0:
print("Possible")
else:
print("Impossible")
``` | output | 1 | 61,348 | 16 | 122,697 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,349 | 16 | 122,698 |
"Correct Solution:
```
a,b=map(int,input().split())
print("Possible" if a*b*(a+b)%3==0 else "Impossible")
``` | output | 1 | 61,349 | 16 | 122,699 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,350 | 16 | 122,700 |
"Correct Solution:
```
n, m = list(map(int, input().split()))
print('Impossible' if n%3 and m%3 and (n+m)%3 else 'Possible')
``` | output | 1 | 61,350 | 16 | 122,701 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible | instruction | 0 | 61,351 | 16 | 122,702 |
"Correct Solution:
```
a,b = map(int,input().split())
if a%3 == b%3 == 1 or a%3 == b%3 == 2:
print('Impossible')
else:
print('Possible')
``` | output | 1 | 61,351 | 16 | 122,703 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
A,B=map(int,input().split())
print("Impossible" if (A+B)%3!=0 and A%3!=0 and B%3!=0 else "Possible")
``` | instruction | 0 | 61,352 | 16 | 122,704 |
Yes | output | 1 | 61,352 | 16 | 122,705 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
a,b=map(int,input().split())
print('Impossible' if all([a%3,b%3,(a+b)%3]) else 'Possible')
``` | instruction | 0 | 61,353 | 16 | 122,706 |
Yes | output | 1 | 61,353 | 16 | 122,707 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
A, B = map(int, input().split())
print(["Possible", "Impossible"][not(A % 3 == 0 or B % 3 == 0 or (A + B) % 3 == 0)])
``` | instruction | 0 | 61,354 | 16 | 122,708 |
Yes | output | 1 | 61,354 | 16 | 122,709 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
a,b=map(int,input().split());print(("P","Imp")[a*b%3==1]+"ossible")
``` | instruction | 0 | 61,355 | 16 | 122,710 |
Yes | output | 1 | 61,355 | 16 | 122,711 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
p=sum(map(int,input().split()));print("Impossible"if p%3else"Possible")
``` | instruction | 0 | 61,356 | 16 | 122,712 |
No | output | 1 | 61,356 | 16 | 122,713 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
A, B= map(int, input().split())
print(["Impossible", "Possible"][(A+B)%3 == 0])
``` | instruction | 0 | 61,357 | 16 | 122,714 |
No | output | 1 | 61,357 | 16 | 122,715 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
a, b = map(int, input().split())
answer = a + b
if answer % 3 == 0:
print('Possible')
else:
print('Impossible')
``` | instruction | 0 | 61,358 | 16 | 122,716 |
No | output | 1 | 61,358 | 16 | 122,717 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke is giving cookies to his three goats.
He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).
Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.
Constraints
* 1 \leq A,B \leq 100
* Both A and B are integers.
Input
Input is given from Standard Input in the following format:
A B
Output
If it is possible to give cookies so that each of the three goats can have the same number of cookies, print `Possible`; otherwise, print `Impossible`.
Examples
Input
4 5
Output
Possible
Input
1 1
Output
Impossible
Submitted Solution:
```
N = int(input())
l = list(map(int,input().split()))
sum_s= 0
sum_a = 0
diff = 100*100
for a in range(len(l)-1):
sum_s = sum(l[:a+1])
sum_a = sum(l[a+1:])
if diff > abs(sum_s - sum_a):
diff = abs(sum_s - sum_a)
print(diff)
``` | instruction | 0 | 61,359 | 16 | 122,718 |
No | output | 1 | 61,359 | 16 | 122,719 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,109 | 16 | 124,218 |
"Correct Solution:
```
h,w=map(int,input().split())
a1=[[*input()] for _ in range(h)];a2=[i for i,j in enumerate(zip(*a1)) if j.count('.')==h]
[print(*[k for l,k in enumerate(j) if l not in a2],sep='') for j in [i for i in a1 if i.count('.')<w]]
``` | output | 1 | 62,109 | 16 | 124,219 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,110 | 16 | 124,220 |
"Correct Solution:
```
H,W=map(int,input().split())
a=[input() for i in range(H)]
for i in range(2):
a=filter(lambda x:"#"in x,a)
a=list(zip(*[list(_) for _ in a]))
print("\n".join(["".join(i) for i in a]))
``` | output | 1 | 62,110 | 16 | 124,221 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,111 | 16 | 124,222 |
"Correct Solution:
```
H, W = map(int, input().split())
a = [input() for _ in range(H)]
for i in range(H):
if a[i].count('#') > 0:
s = ''
for j in range(W):
if [A[j] for A in a].count('#') > 0:
s += a[i][j]
print(s)
``` | output | 1 | 62,111 | 16 | 124,223 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,112 | 16 | 124,224 |
"Correct Solution:
```
h,w=map(int,input().split())
a=[]
for i in range(h):
j=list(input())
if '#' in j:
a.append(j)
aa=zip(*[i for i in zip(*a) if '#' in i])
for i in aa:
print(''.join(i))
``` | output | 1 | 62,112 | 16 | 124,225 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,113 | 16 | 124,226 |
"Correct Solution:
```
H, W = map(int, input().split())
a = [input() for _ in range(H)]
for i in range(H):
if a[i] != "." * W:
s = ""
for j in range(W):
if [X[j] for X in a].count("#")>0:
s += a[i][j]
print(s)
``` | output | 1 | 62,113 | 16 | 124,227 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,114 | 16 | 124,228 |
"Correct Solution:
```
H, W = map(int, input().split())
a = [input() for _ in range(H)]
ans = [ch for ch in a if "#" in ch]
ans = [ch for ch in zip(*ans) if "#" in ch]
ans = [ch for ch in zip(*ans)]
for i in range(len(ans)):
print(''.join(ans[i]))
``` | output | 1 | 62,114 | 16 | 124,229 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,115 | 16 | 124,230 |
"Correct Solution:
```
H, W = map(int, input().split())
A = [input() for _ in range(H)]
A = list(filter(lambda a: any(x == "#" for x in a), A))
A = list(filter(lambda a: any(x == "#" for x in a), zip(*A)))
for a in zip(*A):
print("".join(a))
``` | output | 1 | 62,115 | 16 | 124,231 |
Provide a correct Python 3 solution for this coding contest problem.
There is a grid of squares with H horizontal rows and W vertical columns. The square at the i-th row from the top and the j-th column from the left is represented as (i, j). Each square is black or white. The color of the square is given as an H-by-W matrix (a_{i, j}). If a_{i, j} is `.`, the square (i, j) is white; if a_{i, j} is `#`, the square (i, j) is black.
Snuke is compressing this grid. He will do so by repeatedly performing the following operation while there is a row or column that consists only of white squares:
* Operation: choose any one row or column that consists only of white squares, remove it and delete the space between the rows or columns.
It can be shown that the final state of the grid is uniquely determined regardless of what row or column is chosen in each operation. Find the final state of the grid.
Constraints
* 1 \leq H, W \leq 100
* a_{i, j} is `.` or `#`.
* There is at least one black square in the whole grid.
Input
Input is given from Standard Input in the following format:
H W
a_{1, 1}...a_{1, W}
:
a_{H, 1}...a_{H, W}
Output
Print the final state of the grid in the same format as input (without the numbers of rows and columns); see the samples for clarity.
Examples
Input
4 4
##.#
....
##.#
.#.#
Output
###
###
.##
Input
4 4
.#
....
.#
.#.#
Output
.##
Input
3 3
..
.#.
..#
Output
..
.#.
..#
Input
4 5
.....
.....
..#..
.....
Output
Input
7 6
......
....#.
.#....
..#...
..#...
......
.#..#.
Output
..#
..
.#.
.#.
.# | instruction | 0 | 62,116 | 16 | 124,232 |
"Correct Solution:
```
H, W = map(int, input().split())
a = []
for _ in range(H):
i = list(input())
if '#' in i:
a.append(i)
ans = zip(*[i for i in zip(*a) if '#' in i])
for s in ans:
print(*s, sep='')
``` | output | 1 | 62,116 | 16 | 124,233 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,950 | 16 | 125,900 |
"Correct Solution:
```
def main():
s=set()
for digit in range(16):
for i in range(1,1000):
c=i*10**digit+int('9'*digit or 0)
if c<10**15:
s.add(c)
c=sorted(s)
for i,n in enumerate(c):
sn=n/sum(map(int,str(n)))
for m in c[i+1:i+50]:
sm=m/sum(map(int,str(m)))
if sm<sn:
s.remove(n)
break
print(*sorted(s)[:int(input())],sep='\n')
main()
``` | output | 1 | 62,950 | 16 | 125,901 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,951 | 16 | 125,902 |
"Correct Solution:
```
def s(n):
ret=0
for i in range(15):
ret+=(n%10**(i+1))//10**i
return ret
k=int(input())
ans=set()
for i in reversed(range(14)):
m=float('inf')
for j in reversed(range(1,1000)):
n=int(str(j)+'9'*i)
if n/s(n)<=m :
ans.add(n)
m=n/s(n)
ans=sorted(list(ans))
for a in ans[:k]:
print(a)
``` | output | 1 | 62,951 | 16 | 125,903 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,952 | 16 | 125,904 |
"Correct Solution:
```
from collections import deque
k = int(input())
digsum = lambda x: sum(list(map(int, list(str(x)))))
dignorm = lambda x: x/digsum(x)
n = 1
order = 1
while k > 0:
print(n)
k -= 1
if dignorm(n+10**(order-1)) > dignorm(n+10**order):
order += 1
n += 10**(order-1)
``` | output | 1 | 62,952 | 16 | 125,905 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,953 | 16 | 125,906 |
"Correct Solution:
```
K=int(input())
def NS(N):
NS=0
while(N>0):
NS+=N%10
N//=10
return NS
answer,diff=0,1
for i in range(K):
answer+=diff
print(answer)
if diff<(answer+diff)/NS(answer+diff):
diff*=10
``` | output | 1 | 62,953 | 16 | 125,907 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,954 | 16 | 125,908 |
"Correct Solution:
```
#!/usr/bin/env python3
def main():
K = int(input())
l = []
for i in range(1, 1000):
l.append(i)
for k in range(1, 13):
n0 = 10 ** k
for i in range(100, 1000):
l.append(i * n0 + n0 - 1)
r = []
for n in l:
sn = 0
d = n
while 0 < d:
d, m = int(d / 10), d % 10
sn += m
r.append(n / sn)
min_r = r[-1]
for i in range(len(r) - 2, -1, -1):
if min_r < r[i]:
r.pop(i)
l.pop(i)
else:
min_r = r[i]
for i in range(K):
print(l[i])
if __name__ == '__main__':
main()
``` | output | 1 | 62,954 | 16 | 125,909 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,955 | 16 | 125,910 |
"Correct Solution:
```
k = int(input())
# if k < 10:
# print(k)
# exit()
def s(n):
return sum(list(map(int, str(n))))
seeds = [i for i in range(1, 10)]
for i in range(15):
for j in range(10):
for m in range(10):
for y in range(10):
seeds.append(int(str(m + j*10 + y*100) + str(9)*i))
# print(seeds)
seeds = [i for i in seeds if i!=0]
l = []
for i in seeds:
l.append([i, s(i), i/s(i)])
# for i in range(1, 10**6):
# l.append([i, s(i), i/s(i)])
l.sort(key=lambda x:x[2])
# for i in range(len(l)):
# print(l[i])
max = 0
ans = []
for i in range(len(l)):
if l[i][0] > max:
max = l[i][0]
ans.append(l[i][0])
# print(l[i][0], end=" ")
for i in range(k):
print(ans[i])
# max = 0
# for i in range(len(l)):
# if l[i][0] > max:
# max = l[i][0]
# print(l[i][0]+1, end=" ")
# print()
``` | output | 1 | 62,955 | 16 | 125,911 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,956 | 16 | 125,912 |
"Correct Solution:
```
K = int(input())
a = 1
b = 0
def snk(n):
s = 0
for i in str(n):
s += int(i)
return(n/s)
count = 0
while True:
print(a)
count += 1
if snk(a + 10 ** b) > snk(a + 10 ** (b + 1)):
b += 1
a += 10 ** b
if count == K:
break
``` | output | 1 | 62,956 | 16 | 125,913 |
Provide a correct Python 3 solution for this coding contest problem.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19 | instruction | 0 | 62,957 | 16 | 125,914 |
"Correct Solution:
```
def sunuke_sum(arg):
sum_digit = 0
for char in arg:
sum_digit += int(char)
return sum_digit
input_num = int(input())
sunuke_dict = {}
min_sunuke_div = 10 ** 20
for d in reversed(range(1, 16)):
for n in reversed(range(10, 1000)):
i = n * (10 ** d) + (10 ** d - 1)
sunuke_div = i / sunuke_sum(str(i))
sunuke_dict[i] = sunuke_div
for i in reversed(range(1, 110)):
sunuke_div = i / sunuke_sum(str(i))
sunuke_dict[i] = sunuke_div
sunuke_sorted = sorted(sunuke_dict.items())
sunuke_list = []
for value, div_value in reversed(sunuke_sorted):
if min_sunuke_div >= div_value:
sunuke_list.append(value)
min_sunuke_div = div_value
sunuke_list.reverse()
for i in range(0, input_num):
print(str(sunuke_list[i]))
``` | output | 1 | 62,957 | 16 | 125,915 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
K = int(input())
i=1
addNum = 1
ans = []
while(K!=0):
print(i)
K-=1
S1 = 0
S2 = 0
for j in list(str(i+addNum)):
S1 += int(j)
for j in list(str(i+addNum+addNum)):
S2 += int(j)
if (i+addNum)/S1 > (i+addNum+addNum)/S2:
addNum *= 10
i += addNum
``` | instruction | 0 | 62,958 | 16 | 125,916 |
Yes | output | 1 | 62,958 | 16 | 125,917 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
def R(x):
return x / sum(map(int, str(x)))
K = int(input())
D = 0
l = 0
for i in range(K):
D += 10**l
print(D)
if 10**l < R(D+10**l):
l += 1
``` | instruction | 0 | 62,959 | 16 | 125,918 |
Yes | output | 1 | 62,959 | 16 | 125,919 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
res = []
for digit in range(1,16):
if digit<=3:
for i in range(2,11):
res.append(10**(digit-1)*i-1)
elif 4<=digit<=12:
for i in range(11,(digit-2)*10):
res.append(i*10**(digit-2)-1)
for i in range(digit-2,11):
res.append(i*10**(digit-1)-1)
elif digit==15:
for i in range(101,110):
res.append(i*10**(digit-3)-1)
for i in range(11,101):
res.append(i*10**(digit-2)-1)
else:
for i in range(11,101):
res.append(i*10**(digit-2)-1)
for i in range(int(input())):
print(res[i])
``` | instruction | 0 | 62,960 | 16 | 125,920 |
Yes | output | 1 | 62,960 | 16 | 125,921 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
def digit_sum(number):
ans = 0
for n in str(number):
ans += int(n)
return ans
def obj_func(number):
return number/digit_sum(number)
K = int(input())
num_list = []
d = 1
n = 1
for i in range(K):
num_list.append(n)
if obj_func(n + 10**(d-1)) > obj_func(n + 10**d):
d += 1
n += 10**(d-1)
print(*num_list, sep='\n')
``` | instruction | 0 | 62,961 | 16 | 125,922 |
Yes | output | 1 | 62,961 | 16 | 125,923 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
#!/mnt/c/Users/moiki/bash/env/bin/python
# N,M = map(int, input().split())
def S(n):
ans = 0
while n != 0:
ans += n % 10
n //= 10
return ans
snum = [0]
for i in range(1, 100000):
snum.append( i/S(i))
# print("{i:4d} : ".format(i=i), S(i))
# print("{i:4d} S(i): {S}: i/S(i): {Si}".format(i=i, S=S(i), Si=i/S(i) ))
for i in range(1, 100000):
if snum[i] == min(snum[i:]):
print("{i:4d} S(i): {S}: i/S(i): {Si}".format(i=i, S=S(i), Si=i/S(i) ))
``` | instruction | 0 | 62,962 | 16 | 125,924 |
No | output | 1 | 62,962 | 16 | 125,925 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
k = int(input())
ans = []
k_i = k // 9
k_j = k % 9
for i in range(k_i):
if i == 0:
for j in range(9):
ans.append(j+1)
else:
for j in range(9):
ans.append((10**i)*(j+2) - 1)
for i in range(k_j):
ans.append((10**(k_i))*(i+2) - 1)
for i in range(len(ans)):
print(ans[i])
``` | instruction | 0 | 62,963 | 16 | 125,926 |
No | output | 1 | 62,963 | 16 | 125,927 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
k = int(input())
for i in range(1,k+1):
top_number = i % 9
if top_number == 0:
top_number = ''
number_of_nine = int(i/9)
number = str(top_number)+'9'*number_of_nine
if i >= 136:
print(pow(10,15))
else:
print(number)
``` | instruction | 0 | 62,964 | 16 | 125,928 |
No | output | 1 | 62,964 | 16 | 125,929 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.
We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.
Given an integer K, list the K smallest Snuke numbers.
Constraints
* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.
Input
Input is given from Standard Input in the following format:
K
Output
Print K lines. The i-th line should contain the i-th smallest Snuke number.
Example
Input
10
Output
1
2
3
4
5
6
7
8
9
19
Submitted Solution:
```
n = int(input())
for i in range(n):
print(str((i % 9) + 1) + '9' * (i // 9))
``` | instruction | 0 | 62,965 | 16 | 125,930 |
No | output | 1 | 62,965 | 16 | 125,931 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N, a = (a_1, a_2, ..., a_N). Each a_i is a positive integer.
Snuke's objective is to permute the element in a so that the following condition is satisfied:
* For each 1 ≤ i ≤ N - 1, the product of a_i and a_{i + 1} is a multiple of 4.
Determine whether Snuke can achieve his objective.
Constraints
* 2 ≤ N ≤ 10^5
* a_i is an integer.
* 1 ≤ a_i ≤ 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
If Snuke can achieve his objective, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 10 100
Output
Yes
Input
4
1 2 3 4
Output
No
Input
3
1 4 1
Output
Yes
Input
2
1 1
Output
No
Input
6
2 7 1 8 2 8
Output
Yes | instruction | 0 | 62,982 | 16 | 125,964 |
"Correct Solution:
```
n = int(input())
n1 = 0
n2 = 0
n4 = 0
for a in map(int,input().split()):
if a%4 == 0:
n4 += 1
elif a%2 == 0:
n2 += 1
else:
n1 += 1
if n1 <= n4:
print('Yes')
elif n1 == n4+1 and n2 == 0:
print('Yes')
else:
print('No')
``` | output | 1 | 62,982 | 16 | 125,965 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N, a = (a_1, a_2, ..., a_N). Each a_i is a positive integer.
Snuke's objective is to permute the element in a so that the following condition is satisfied:
* For each 1 ≤ i ≤ N - 1, the product of a_i and a_{i + 1} is a multiple of 4.
Determine whether Snuke can achieve his objective.
Constraints
* 2 ≤ N ≤ 10^5
* a_i is an integer.
* 1 ≤ a_i ≤ 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
If Snuke can achieve his objective, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 10 100
Output
Yes
Input
4
1 2 3 4
Output
No
Input
3
1 4 1
Output
Yes
Input
2
1 1
Output
No
Input
6
2 7 1 8 2 8
Output
Yes | instruction | 0 | 62,983 | 16 | 125,966 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
ans = 0
for a in A:
if a % 4 == 0:
ans += 1
elif a % 2 != 0:
ans -= 1
if N % 2 != 0:
ans += 1
print('Yes' if ans >= 0 else 'No')
``` | output | 1 | 62,983 | 16 | 125,967 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N, a = (a_1, a_2, ..., a_N). Each a_i is a positive integer.
Snuke's objective is to permute the element in a so that the following condition is satisfied:
* For each 1 ≤ i ≤ N - 1, the product of a_i and a_{i + 1} is a multiple of 4.
Determine whether Snuke can achieve his objective.
Constraints
* 2 ≤ N ≤ 10^5
* a_i is an integer.
* 1 ≤ a_i ≤ 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
If Snuke can achieve his objective, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 10 100
Output
Yes
Input
4
1 2 3 4
Output
No
Input
3
1 4 1
Output
Yes
Input
2
1 1
Output
No
Input
6
2 7 1 8 2 8
Output
Yes | instruction | 0 | 62,984 | 16 | 125,968 |
"Correct Solution:
```
n = int(input())
a = list(map(int,input().split()))
c4 = 0
c2 = 0
for ai in a:
if ai%4 == 0:
c4 += 1
elif ai%2 == 0:
c2 += 1
if (c2 > 0 and c4 >= n-c4-c2) or (c2 == 0 and c4 >= n-c4-c2-1):
print('Yes')
else:
print('No')
``` | output | 1 | 62,984 | 16 | 125,969 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N, a = (a_1, a_2, ..., a_N). Each a_i is a positive integer.
Snuke's objective is to permute the element in a so that the following condition is satisfied:
* For each 1 ≤ i ≤ N - 1, the product of a_i and a_{i + 1} is a multiple of 4.
Determine whether Snuke can achieve his objective.
Constraints
* 2 ≤ N ≤ 10^5
* a_i is an integer.
* 1 ≤ a_i ≤ 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
If Snuke can achieve his objective, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 10 100
Output
Yes
Input
4
1 2 3 4
Output
No
Input
3
1 4 1
Output
Yes
Input
2
1 1
Output
No
Input
6
2 7 1 8 2 8
Output
Yes | instruction | 0 | 62,985 | 16 | 125,970 |
"Correct Solution:
```
N=int(input())
*A,=map(int,input().split())
i1=len([i for i in A if i%2!=0])
i4=len([i for i in A if i%4==0])
i2=min(1,N-i1-i4)
# print(i1,i2,i4)
print('Yes' if (i1+i2-1)<=i4 else 'No')
``` | output | 1 | 62,985 | 16 | 125,971 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N, a = (a_1, a_2, ..., a_N). Each a_i is a positive integer.
Snuke's objective is to permute the element in a so that the following condition is satisfied:
* For each 1 ≤ i ≤ N - 1, the product of a_i and a_{i + 1} is a multiple of 4.
Determine whether Snuke can achieve his objective.
Constraints
* 2 ≤ N ≤ 10^5
* a_i is an integer.
* 1 ≤ a_i ≤ 10^9
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
If Snuke can achieve his objective, print `Yes`; otherwise, print `No`.
Examples
Input
3
1 10 100
Output
Yes
Input
4
1 2 3 4
Output
No
Input
3
1 4 1
Output
Yes
Input
2
1 1
Output
No
Input
6
2 7 1 8 2 8
Output
Yes | instruction | 0 | 62,986 | 16 | 125,972 |
"Correct Solution:
```
a=int(input())
an=[int(i) for i in input().split()]
count=0
for i in an:
if i%2==0:
count+=1
if i%4==0:
count+=1
if a%2==1:
a-=1
if count>=a:
print("Yes")
else:
print("No")
``` | output | 1 | 62,986 | 16 | 125,973 |
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