message stringlengths 2 48.6k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 318 108k | cluster float64 8 8 | __index_level_0__ int64 636 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0 | instruction | 0 | 78,066 | 8 | 156,132 |
"Correct Solution:
```
S=input()
c0=S.count('1')
c1=S.count('0')
print(2*min(c0,c1))
``` | output | 1 | 78,066 | 8 | 156,133 |
Provide a correct Python 3 solution for this coding contest problem.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0 | instruction | 0 | 78,067 | 8 | 156,134 |
"Correct Solution:
```
s = input()
print(2*(min(s.count("0"),s.count("1"))))
``` | output | 1 | 78,067 | 8 | 156,135 |
Provide a correct Python 3 solution for this coding contest problem.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0 | instruction | 0 | 78,068 | 8 | 156,136 |
"Correct Solution:
```
s = input()
a = [s.count(c) for c in '01']
print(min(a) * 2)
``` | output | 1 | 78,068 | 8 | 156,137 |
Provide a correct Python 3 solution for this coding contest problem.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0 | instruction | 0 | 78,069 | 8 | 156,138 |
"Correct Solution:
```
S = input()
print(2 * min(S.count('0'), S.count('1')))
``` | output | 1 | 78,069 | 8 | 156,139 |
Provide a correct Python 3 solution for this coding contest problem.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0 | instruction | 0 | 78,070 | 8 | 156,140 |
"Correct Solution:
```
b=input()
A=b.count("1")
B=b.count("0")
print(min(2*A,2*B))
``` | output | 1 | 78,070 | 8 | 156,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
s = input()
x = min(s.count('0'), s.count('1'))
print(x * 2)
``` | instruction | 0 | 78,071 | 8 | 156,142 |
Yes | output | 1 | 78,071 | 8 | 156,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
s = input()
z = s.count('0')
print(min(z, len(s)-z)*2)
``` | instruction | 0 | 78,072 | 8 | 156,144 |
Yes | output | 1 | 78,072 | 8 | 156,145 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
s=list(input())
print(2*min(s.count('0'),s.count('1')))
``` | instruction | 0 | 78,073 | 8 | 156,146 |
Yes | output | 1 | 78,073 | 8 | 156,147 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
s=input();f=s.count;print(2*min(f("1"),f("0")))
``` | instruction | 0 | 78,074 | 8 | 156,148 |
Yes | output | 1 | 78,074 | 8 | 156,149 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
S = input()
stack = []
cnt = 0
for s in S:
if s == S[0]:
stack.append(s)
elif s == '0' and s != stack[-1]:
stack.pop()
cnt += 2
elif s == '1' and s != stack[-1]:
stack.pop()
cnt += 2
else:
stack.append(s)
print(cnt)
``` | instruction | 0 | 78,075 | 8 | 156,150 |
No | output | 1 | 78,075 | 8 | 156,151 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
S = input()
N = len(S)
while True:
fn = len(S)
S = S.replace('01', '').replace('10','')
if fn == len(S):
break
print(N - len(S))
``` | instruction | 0 | 78,076 | 8 | 156,152 |
No | output | 1 | 78,076 | 8 | 156,153 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
class Unification:
def __init__(self, cube: list):
self.cube = cube
def calc(self):
ans = 0
i = 0
while i < len(self.cube) - 1:
if self.cube[i] != '-' and self.cube[i] != self.cube[i + 1]:
ans += 2
self.erase(i)
self.erase(i + 1)
i += 1
print(ans)
def erase(self, i: int):
drop_cube = i - 2
if drop_cube < 0:
self.cube[i] = '-'
else:
self.cube[i] = self.cube[drop_cube]
S = list(input())
S.reverse()
cube = Unification(S)
cube.calc()
``` | instruction | 0 | 78,077 | 8 | 156,154 |
No | output | 1 | 78,077 | 8 | 156,155 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N cubes stacked vertically on a desk.
You are given a string S of length N. The color of the i-th cube from the bottom is red if the i-th character in S is `0`, and blue if that character is `1`.
You can perform the following operation any number of times: choose a red cube and a blue cube that are adjacent, and remove them. Here, the cubes that were stacked on the removed cubes will fall down onto the object below them.
At most how many cubes can be removed?
Constraints
* 1 \leq N \leq 10^5
* |S| = N
* Each character in S is `0` or `1`.
Input
Input is given from Standard Input in the following format:
S
Output
Print the maximum number of cubes that can be removed.
Examples
Input
0011
Output
4
Input
11011010001011
Output
12
Input
0
Output
0
Submitted Solution:
```
s = list(input())
print(min(s.count("1"),s.count("0")*2))
``` | instruction | 0 | 78,078 | 8 | 156,156 |
No | output | 1 | 78,078 | 8 | 156,157 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,127 | 8 | 156,254 |
"Correct Solution:
```
import itertools, math, collections, sys
input = sys.stdin.readline
H, W, K = [int(_) for _ in input().split()]
A = [list(input()) for _ in range(H)]
for i, j in itertools.product(range(H), range(W)):
if A[i][j] == 'S':
break
Q = collections.deque([[i, j, 0]])
sH = set()
sW = set()
while Q:
h, w, dist = Q.popleft()
sH.add(h)
sW.add(w)
if dist < K:
for nh, nw in [[h - 1, w], [h + 1, w], [h, w - 1], [h, w + 1]]:
if 0 <= nh < H and 0 <= nw < W and A[nh][nw] == '.':
A[nh][nw] = '#'
Q += [[nh, nw, dist + 1]]
print(1 + min([
math.ceil(_ / K)
for _ in (min(sH), H - 1 - max(sH), min(sW), W - 1 - max(sW))
]))
``` | output | 1 | 78,127 | 8 | 156,255 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,128 | 8 | 156,256 |
"Correct Solution:
```
from collections import defaultdict, deque, Counter
from heapq import heappush, heappop, heapify
import math
import bisect
import random
from itertools import permutations, accumulate, combinations, product
import sys
from pprint import pprint
from copy import deepcopy
import string
from bisect import bisect_left, bisect_right
from math import factorial, ceil, floor
from operator import mul
from functools import reduce
from pprint import pprint
sys.setrecursionlimit(2147483647)
INF = 10 ** 15
def LI(): return list(map(int, sys.stdin.buffer.readline().split()))
def I(): return int(sys.stdin.buffer.readline())
def LS(): return sys.stdin.buffer.readline().rstrip().decode('utf-8').split()
def S(): return sys.stdin.buffer.readline().rstrip().decode('utf-8')
def IR(n): return [I() for i in range(n)]
def LIR(n): return [LI() for i in range(n)]
def SR(n): return [S() for i in range(n)]
def LSR(n): return [LS() for i in range(n)]
def SRL(n): return [list(S()) for i in range(n)]
def MSRL(n): return [[int(j) for j in list(S())] for i in range(n)]
mod = 1000000007
h, w, k = LI()
A = SRL(h)
flg = 0
for a in range(h):
for b in range(w):
if A[a][b] == 'S':
sy, sx = a, b
A[sy][sx] = 0
flg = 1
break
if flg:
break
q = deque([(sy, sx)])
L = []
min_dist = min(sy, h - sy - 1, sx, w - sx - 1)
while q:
y, x = q.popleft()
for i, j in ((1, 0), (-1, 0), (0, 1), (0, -1)):
nx, ny = x + i, y + j
if 0 <= nx < w and 0 <= ny < h and A[ny][nx] == '.':
A[ny][nx] = A[y][x] + 1
min_dist = min(min_dist, min(ny, h - 1 - ny, nx, w - 1 - nx))
if A[ny][nx] < k:
q += [(ny, nx)]
print(1 - (- min_dist // k))
``` | output | 1 | 78,128 | 8 | 156,257 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,129 | 8 | 156,258 |
"Correct Solution:
```
from collections import deque
H, W, K = map(int, input().split())
A = [[0 for _ in range(W)] for _ in range(H)]
for i in range(H):
A_i_x = input()
for j in range(W):
A[i][j] = A_i_x[j]
if A_i_x[j] == 'S':
start_h = i
start_w = j
dist_from_exit = [[0 for _ in range(W)] for _ in range(H)]
for i in range(H):
for j in range(W):
dist_from_exit[i][j] = min(i, j, H - 1 - i, W - 1 - j)
queue = deque()
queue.append([start_h, start_w])
visited = [[-1 for _ in range(W)] for _ in range(H)]
visited[start_h][start_w] = 0
dx = [1, 0, -1, 0]
dy = [0, 1, 0, -1]
dist_left_cand = [dist_from_exit[start_h][start_w]]
while queue:
h, w = queue.pop()
for i in range(4):
if 0 <= h + dy[i] <= H-1 and 0 <= w + dx[i] <= W-1:
if visited[h + dy[i]][w + dx[i]] == -1 and A[h + dy[i]][w + dx[i]] == '.' and visited[h][w] < K:
queue.appendleft([h + dy[i], w + dx[i]])
visited[h + dy[i]][w + dx[i]] = visited[h][w] + 1
dist_left_cand.append(dist_from_exit[h + dy[i]][w + dx[i]])
dist_left_min = min(dist_left_cand)
print((dist_left_min - 1) // K + 1 + 1)
``` | output | 1 | 78,129 | 8 | 156,259 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,130 | 8 | 156,260 |
"Correct Solution:
```
def examA():
A, B, C = LI()
S = A+B+C
cur = 0
for i in range(32):
if A%2==1 or B%2==1 or C%2==1:
break
A = (S-A)//2
B = (S-B)//2
C = (S-C)//2
cur +=1
if cur==32:
ans = -1
else:
ans = cur
print(ans)
return
def examB():
N, M = LI()
cur = [0]*N
for i in range(M):
a, b = LI()
cur[a-1] +=1
cur[b-1] +=1
ans = "YES"
for j in cur:
if j%2==1:
ans = "NO"
break
print(ans)
return
def clear_maze(h,w,s,maze):
# debug_print(maze)
distance = [[inf for _ in range(w)] for _ in range(h)]
def bfs():
queue = []
queue.insert(0, s)
distance[s[0]][s[1]] = 0
while len(queue):
y, x = queue.pop()
for i in range(0, 4):
nx, ny = x + [1, 0, -1, 0][i], y + [0, 1, 0, -1][i]
if (0<= nx <w and 0<= ny <h and maze[ny][nx] != '#' and distance[ny][nx] == inf):
queue.insert(0, (ny, nx))
distance[ny][nx] = distance[y][x] + 1
return distance
return bfs()
def examC():
H, W, K = LI()
A = [SI() for _ in range(H)]
sx = W-1; sy = H-1
for i in range(H):
for j in range(W):
if A[i][j]=="S":
sy = i; sx = j
break
if sy!=H-1 or sx!=W-1:
break
D = clear_maze(H,W,[sy,sx],A)
# print(D)
ans = inf
for i in range(H):
for j in range(W):
if D[i][j]>K:
continue
cur = min((i+K-1)//K,(j+K-1)//K,(H+K-i-2)//K,(W+K-j-2)//K)
ans = min(ans,cur+1)
print(ans)
return
import sys,copy,bisect,itertools,heapq,math
from heapq import heappop,heappush,heapify
from collections import Counter,defaultdict,deque
def I(): return int(sys.stdin.readline())
def LI(): return list(map(int,sys.stdin.readline().split()))
def LSI(): return list(map(str,sys.stdin.readline().split()))
def LS(): return sys.stdin.readline().split()
def SI(): return sys.stdin.readline().strip()
global mod,inf
mod = 10**9 + 7
inf = 10**18
if __name__ == '__main__':
examC()
``` | output | 1 | 78,130 | 8 | 156,261 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,131 | 8 | 156,262 |
"Correct Solution:
```
import sys
from collections import deque
input = sys.stdin.readline
inf = 10**8
DX = (-1, 0, 1, 0, -1, -1, 1, 1)
DY = (0, 1, 0, -1, -1, 1, -1, 1)
DX = DX[:4]
DY = DY[:4]
H, W, K = map(int, input().split())
grid = [input().rstrip() for _ in range(H)]
dist = [[inf]*W for _ in range(H)]
node = deque()
for i in range(H):
for j in range(W):
if grid[i][j] == "S":
node.append((i, j))
dist[i][j] = 0
# まず一回普通にBFS
memo = []
while node:
x, y = node.popleft()
memo.append((x, y))
d = dist[x][y]
if d >= K:
continue
for dx, dy in zip(DX, DY):
nx = x + dx
ny = y + dy
if nx < 0 or ny < 0 or nx >= H or ny >= W:
continue
if grid[nx][ny] == "#":
continue
if dist[nx][ny] > d + 1:
dist[nx][ny] = d + 1
node.append((nx, ny))
ans = inf
for x, y in memo:
d = min(x, y, H - x - 1, W - y - 1)
ans = min(ans, 1 + (d + K - 1) // K)
print(ans)
``` | output | 1 | 78,131 | 8 | 156,263 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,132 | 8 | 156,264 |
"Correct Solution:
```
from collections import deque
h,w,k = map(int,input().split())
a = []
for i in range(h):
b = input()
tmp = []
for j in range(w):
tmp.append(b[j])
if b[j] == "S":
sx = i
sy = j
a.append(tmp)
ma = [[0]*w for i in range(h)]
def dfs(x,y,z):
if ma[x][y] == 1:
return
if z>k:
return
ma[x][y] = 1
if x > 0 and a[x-1][y]== ".":
que.append([x-1,y,z+1])
if y > 0 and a[x][y-1]== ".":
que.append([x,y-1,z+1])
if x <h-1 and a[x+1][y]==".":
que.append([x+1,y,z+1])
if y <w-1 and a[x][y+1]==".":
que.append([x,y+1,z+1])
que = deque([[sx,sy,0]])
while que:
x,y,z = que.popleft()
dfs(x,y,z)
ans = float("inf")
for i in range(h):
for j in range(w):
if ma[i][j] == 1:
ans = min(ans,1+(h-i-1)//k+ (1 if (h-i-1)%k else 0),1+(w-j-1)//k+ (1 if (w-j-1)%k else 0),
1+(i)//k+ (1 if (i)%k else 0),1+(j)//k+ (1 if (j)%k else 0))
print(ans)
``` | output | 1 | 78,132 | 8 | 156,265 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,133 | 8 | 156,266 |
"Correct Solution:
```
from collections import deque
H,W,K=map(int,input().split())
A=[list(input())for _ in range(H)]
y,x=(0,0)
for i, a in enumerate(A):
if"S"in a:y,x=(i,a.index("S"))
d=1e9
Q=deque([(0,y,x)])
while Q:
c,i,j=Q.popleft()
d=min(d,i,j,H-i-1,W-j-1)
if d<1:break
if c>=K:continue
for ni,nj in((i+1,j),(i,j+1),(i-1,j),(i,j-1)):
if 0<=ni<H and 0<=nj<W and A[ni][nj]==".":
A[ni][nj]="#"
Q.append((c+1,ni,nj))
print(-(-d//K)+1)
``` | output | 1 | 78,133 | 8 | 156,267 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2 | instruction | 0 | 78,134 | 8 | 156,268 |
"Correct Solution:
```
h, w, k = [ int(v) for v in input().split() ]
field = [ list(input()) for i in range(h) ]
adjust_list = ((0,1),(0,-1),(1,0),(-1,0))
for i in range(h):
for j in range(w):
if field[i][j] == "S":
s = (i,j)
def nearest(y, x):
return min(y,h-1-y,x,w-1-x)
def bfs():
global field, adjust_list, s
search_list = [s]
for _ in range(k):
new_search_list = []
for i in search_list:
for j in adjust_list:
if 0 <= i[0]+j[0] < h and 0 <= i[1]+j[1] < w:
if field[i[0]+j[0]][i[1]+j[1]] == ".":
field[i[0]+j[0]][i[1]+j[1]] = "S"
new_search_list.append((i[0]+j[0],i[1]+j[1]))
search_list = new_search_list
return
bfs()
print(1 + ( min([ nearest(i,j) for j in range(w) for i in range(h) if field[i][j] == "S" ]) + k - 1 ) // k)
``` | output | 1 | 78,134 | 8 | 156,269 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
import itertools, math, collections, sys
input = sys.stdin.readline
H, W, K = [int(_) for _ in input().split()]
A = [input() for _ in range(H)]
for h in range(H):
if 'S' in A[h]:
w = A[h].index('S')
break
visited = [[False] * W for _ in range(H)]
ans = min([h, H - 1 - h, w, W - 1 - w])
res = K - 1
Q = collections.deque([[h - 1, w, res], [h + 1, w, res], [h, w - 1, res],
[h, w + 1, res]])
while Q:
h, w, res = Q.popleft()
if 0 <= h < H and 0 <= w < W and A[h][w] == '.' and not visited[h][w]:
visited[h][w] = True
ans = min([ans, h, H - 1 - h, w, W - 1 - w])
if res:
res -= 1
Q += [[h - 1, w, res], [h + 1, w, res], [h, w - 1, res],
[h, w + 1, res]]
print(1 + math.ceil(ans / K))
``` | instruction | 0 | 78,135 | 8 | 156,270 |
Yes | output | 1 | 78,135 | 8 | 156,271 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
from collections import deque
H,W,K = map(int,input().split())
src = [input() for i in range(H)]
sx = sy = None
for i,row in enumerate(src):
if 'S' in row:
sy = i
sx = row.index('S')
dxy = [(0,1),(1,0),(0,-1),(-1,0)]
visited = [[0]*W for i in range(H)]
visited[sy][sx] = 1
q = deque([(0,sx,sy)])
mindist = H+W
while q:
d,x,y = q.popleft()
if d > K: break
dist = min(x, W-x-1, y, H-y-1)
mindist = min(dist, mindist)
for dx,dy in dxy:
nx,ny = x+dx,y+dy
if not 0 <= nx < W: continue
if not 0 <= ny < H: continue
if src[ny][nx] == '#': continue
if visited[ny][nx]: continue
q.append((d+1,nx,ny))
visited[ny][nx] = 1
ans = -(-mindist//K) + 1
print(ans)
``` | instruction | 0 | 78,136 | 8 | 156,272 |
Yes | output | 1 | 78,136 | 8 | 156,273 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
from collections import deque
H,W,K=map(int,input().split())
A=[list(input())for _ in range(H)]
for i,a in enumerate(A):
if"S"in a:y,x=(i,a.index("S"))
d=1e9
Q=deque([(1,y,x)])
while Q:
c,i,j=Q.popleft()
d=min(d,i,j,H-i-1,W-j-1)
if c>K:continue
for h,w in((i+1,j),(i,j+1),(i-1,j),(i,j-1)):
if 0<=h<H and 0<=w<W and A[h][w]==".":
A[h][w]=""
Q+=[(c+1,h,w)]
print(1-(-d//K))
``` | instruction | 0 | 78,137 | 8 | 156,274 |
Yes | output | 1 | 78,137 | 8 | 156,275 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
h,w,k=map(int,input().split())
maze=[]
for i in range(h):
maze.append(input())
for j in range(w):
if maze[i][j]=="S":x,y=i,j
ans=float("INF")
l=[[float("INF")]*w for i in range(h)]
l[x][y]=0
from collections import deque
dq=deque([(x,y)])
#pop/append/(append,pop)_left/in/len/count/[]/index/rotate()(右へnずらす)
p={(x,y)}
while len(dq):
nx,ny=dq.popleft()
for a,s in [(0,1),(0,-1),(1,0),(-1,0)]:
if 0<=a+nx<h and 0<=ny+s<w and l[a+nx][s+ny]==float("INf")and maze[a+nx][s+ny]==".":
l[a+nx][ny+s]=l[nx][ny]+1
if l[a+nx][ny+s]<=k:p.add((a+nx,s+ny))
if l[a+nx][ny+s]<k:dq.append((a+nx,s+ny))
ans=float("INf")
for x,y in p:
ans=min(ans,(min(x,y,h-1-x,w-1-y)+k-1)//k+1)
print(ans)
``` | instruction | 0 | 78,138 | 8 | 156,276 |
Yes | output | 1 | 78,138 | 8 | 156,277 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
from collections import deque
H, W, K = map(int, input().split())
A = [input() for h in range(H)]
for h in range(H):
for w in range(W):
if A[h][w] == 'S':
sx, sy = h, w
INF = 1000
dist = [[INF for w in range(W)] for h in range(H)]
dist[sx][sy] = 0
dxy = [[1, 0], [0, 1], [-1, 0], [0, -1]]
start = []
d = deque([[sx, sy]])
while d:
x, y = d.popleft()
for dx, dy in dxy:
xx = x + dx; yy = y + dy
if 0<=xx<H and 0<=yy<W and dist[xx][yy]==INF:
if A[xx][yy] == '.':
dist[xx][yy] = dist[x][y] + 1
d.append([xx, yy])
if dist[xx][yy] <= K:
start.append([xx, yy])
ans = min(-(-(H-1-sx)//K)+1, -(-sx//K)+1, -(-(W-1-sy)//K)+1, -(-sy//K)+1)
for x, y in start:
ans = min(ans, -(-(W-1 - y)//K) + 1) # 右
ans = min(ans, -(-y//K) + 1) # 左
ans = min(ans, -(-(H-1 - x)//K) + 1) # 下
ans = min(ans, -(-x//K) + 1) # 上
print(ans)
``` | instruction | 0 | 78,139 | 8 | 156,278 |
No | output | 1 | 78,139 | 8 | 156,279 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
mod = 10**9 + 7
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def main():
h,w,k = LI()
a = []
st = None
for i in range(h):
s = S()
if 'S' in s:
st = [i, s.index('S')]
a.append([c=='#' for c in s])
def ns(k):
i,j,t = k
r = []
if i < h-1:
if a[i+1][j]:
r.append((i+1,j,t+1))
else:
r.append((i+1,j,t))
if j < w-1:
if a[i][j+1]:
r.append((i,j+1,t+1))
else:
r.append((i,j+1,t))
if i > 0:
if a[i-1][j]:
r.append((i-1,j,t+1))
else:
r.append((i-1,j,t))
if j > 0:
if a[i][j-1]:
r.append((i,j-1,t+1))
else:
r.append((i,j-1,t))
return r
def search(s):
d = collections.defaultdict(lambda: inf)
d[s] = 0
q = []
heapq.heappush(q, (0, s))
v = collections.defaultdict(bool)
while len(q):
k, u = heapq.heappop(q)
if v[u]:
continue
v[u] = True
for nu in ns(u):
if v[nu] or nu[2] > h+w:
continue
if v[(nu[0],nu[1],nu[2]-2)]:
continue
vd = k + 1
if d[nu] > vd:
d[nu] = vd
heapq.heappush(q, (vd, nu))
return d
d = search(tuple(st+[0]))
r = inf
for g,v in d.items():
if 0 < g[0] < h-1 and 0 < g[1] < w-1:
continue
t = (v+k-1) // k + (g[2]+k-1) // k
if t < r:
r = t
return r
print(main())
``` | instruction | 0 | 78,140 | 8 | 156,280 |
No | output | 1 | 78,140 | 8 | 156,281 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
from collections import deque
import math
#入力
h,w,k=map(int,input().split())
a=[input() for i in range(h)]
#Sの位置の捜索
for i in range(h):
for j in range(w):
if a[i][j]=='S':
sy,sx=i,j
#各種パラメータの初期設定
d=deque([[sy,sx]])
dist=[]
inf=-1
m=1000
for i in range(h):
dist.append([inf]*w)
dist[sy][sx]=0
#一回目の魔法で移動できる範囲を幅優先探索
while len(d)!=0:
b=d.popleft()
p,q=b[0],b[1]
for i in [[1,0],[0,-1],[-1,0],[0,1]]:
by,bx=b[0]+i[0],b[1]+i[1]
if bx>=0 and bx<w and by>=0 and by<h and a[by][bx]!='#' and dist[by][bx]==-1 and dist[p][q]<k:
#訪問先が配列内かつ壁でなく未訪問、訪問元の距離がk以下のとき訪問
d.append([by,bx])
dist[by][bx]=dist[p][q]+1
#一回目で移動できる各地点からの魔法の使用回数を計算
for i in range(h):
for j in range(w):
if dist[i][j]!=-1:
m=min(m,math.ceil(i/k),math.ceil(w-i-1/k),math.ceil(j/k),math.ceil(w-j-1/k))
print(m+1)
``` | instruction | 0 | 78,141 | 8 | 156,282 |
No | output | 1 | 78,141 | 8 | 156,283 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi is locked within a building.
This building consists of H×W rooms, arranged in H rows and W columns. We will denote the room at the i-th row and j-th column as (i,j). The state of this room is represented by a character A_{i,j}. If A_{i,j}= `#`, the room is locked and cannot be entered; if A_{i,j}= `.`, the room is not locked and can be freely entered. Takahashi is currently at the room where A_{i,j}= `S`, which can also be freely entered.
Each room in the 1-st row, 1-st column, H-th row or W-th column, has an exit. Each of the other rooms (i,j) is connected to four rooms: (i-1,j), (i+1,j), (i,j-1) and (i,j+1).
Takahashi will use his magic to get out of the building. In one cast, he can do the following:
* Move to an adjacent room at most K times, possibly zero. Here, locked rooms cannot be entered.
* Then, select and unlock at most K locked rooms, possibly zero. Those rooms will remain unlocked from then on.
His objective is to reach a room with an exit. Find the minimum necessary number of casts to do so.
It is guaranteed that Takahashi is initially at a room without an exit.
Constraints
* 3 ≤ H ≤ 800
* 3 ≤ W ≤ 800
* 1 ≤ K ≤ H×W
* Each A_{i,j} is `#` , `.` or `S`.
* There uniquely exists (i,j) such that A_{i,j}= `S`, and it satisfies 2 ≤ i ≤ H-1 and 2 ≤ j ≤ W-1.
Input
Input is given from Standard Input in the following format:
H W K
A_{1,1}A_{1,2}...A_{1,W}
:
A_{H,1}A_{H,2}...A_{H,W}
Output
Print the minimum necessary number of casts.
Examples
Input
3 3 3
#.#
#S.
###
Output
1
Input
3 3 3
.#
S.
Output
1
Input
3 3 3
S#
Output
2
Input
7 7 2
...##
S###
.#.##
.###
Output
2
Submitted Solution:
```
from collections import deque
h,w,k = map(int,input().split())
A = []
ans = 10**10
for i in range(h):
A.append(input())
for j in range(w):
if A[-1][j] == 'S':
start = (i,j)
d = [[10**10]*w for _ in range(h)]
d[start[0]][start[1]] = 0
que = deque([start])
dx = [0,-1,0,1]
dy = [-1,0,1,0]
while que:
px,py = que.popleft()
ans = min(ans, 2 + (min(px,py,w-px-1,h-py-1)-1)//k)
for i in range(4):
nx = px + dx[i]
ny = py + dy[i]
if 0 <= nx < w and 0 <= ny < h and A[nx][ny] == '.' and d[nx][ny] == 10**10:
d[nx][ny] = d[px][py] + 1
if d[nx][ny] <= k:
que.append((nx,ny))
print(ans)
``` | instruction | 0 | 78,142 | 8 | 156,284 |
No | output | 1 | 78,142 | 8 | 156,285 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,207 | 8 | 156,414 |
"Correct Solution:
```
while 1:
n=int(input())
if n==0:break
a=[tuple(map(int,reversed(input().split()))) for _ in range(n)]
a.sort()
w=0
for x,y in a:
w+=y
if x<w:print('No');break
else:print('Yes')
``` | output | 1 | 78,207 | 8 | 156,415 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,208 | 8 | 156,416 |
"Correct Solution:
```
while 1:
N = int(input())
if N == 0:
break
P = [list(map(int, input().split())) for i in range(N)]
P.sort(key=lambda x: (-x[1], x[0]))
su = sum(w for w, s in P)
for w, s in P:
if s < su:
print("No")
break
su -= w
else:
print("Yes")
``` | output | 1 | 78,208 | 8 | 156,417 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,209 | 8 | 156,418 |
"Correct Solution:
```
while True:
n = int(input())
if n == 0:
break
z = sorted([tuple(map(int, input().split())) for _ in range(n)], key=lambda x: x[1])
cnt = total = 0
for a, b in z:
total += a
if total > b:
break
cnt += 1
print("Yes" if cnt == n else "No")
``` | output | 1 | 78,209 | 8 | 156,419 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,210 | 8 | 156,420 |
"Correct Solution:
```
while True:
n = int(input())
if n == 0:
break
lst = sorted([list(map(int, input().split())) for _ in range(n)], key=lambda x:x[-1])
acc = 0
for w, b in lst:
acc += w
if acc > b:
print("No")
break
else:
print("Yes")
``` | output | 1 | 78,210 | 8 | 156,421 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,211 | 8 | 156,422 |
"Correct Solution:
```
# AOJ 1052: Old Bridges
# Python3 2018.7.7 bal4u
while True:
n = int(input())
if n == 0: break
tbl = [list(map(int, input().split())) for i in range(n)]
tbl.sort(key=lambda x:(x[1],x[0]))
s, f = 0, True
for v, w in tbl:
s += v
if s > w:
f = False
break
print("Yes" if f else "No")
``` | output | 1 | 78,211 | 8 | 156,423 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,212 | 8 | 156,424 |
"Correct Solution:
```
while True:
n = int(input())
if n == 0:
break
bridges = []
for _ in range(n):
t, b = map(int, input().split())
bridges.append((t, b))
bridges.sort(key = lambda x: x[1])
flag = True
sumt = 0
for t, b in bridges:
sumt += t
if sumt > b:
flag = False
break
if flag:
print('Yes')
else:
print('No')
``` | output | 1 | 78,212 | 8 | 156,425 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,213 | 8 | 156,426 |
"Correct Solution:
```
while True:
n = int(input())
if n == 0:
break
z = sorted([tuple(map(int, input().split())) for _ in range(n)], key=lambda x: x[1])
total = 0
for a, b in z:
total += a
if total > b:
print("No")
break
else:
print("Yes")
``` | output | 1 | 78,213 | 8 | 156,427 |
Provide a correct Python 3 solution for this coding contest problem.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No | instruction | 0 | 78,214 | 8 | 156,428 |
"Correct Solution:
```
from sys import exit
from functools import reduce
from operator import add
def f(): return [int(i) for i in input().split()]
while True:
flag = False
n = int(input())
if not(n):
exit()
islands = []
for i in range(n):
islands.append(f())
islands.sort(key=lambda x:x[1])
weight = 0
for j in range(n):
weight += islands[j][0]
if weight > islands[j][1]:
flag = True
print("No")
break
if not(flag):
print("Yes")
``` | output | 1 | 78,214 | 8 | 156,429 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No
Submitted Solution:
```
while True:
n = int(input())
if n == 0:
break
z = sorted([tuple(map(int, input().split())) for _ in range(n)], key=lambda x: x[1])
cnt = total = 0
for a, b in z:
total += a
if total > b:
cnt = 1
break
print("No" if cnt else "Yes")
``` | instruction | 0 | 78,215 | 8 | 156,430 |
Yes | output | 1 | 78,215 | 8 | 156,431 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No
Submitted Solution:
```
def sky(x):
return x[1]
while True:
n = int(input())
if n == 0:
break
arr = [[] for i in range(n)]
sumh = 0
for i in range(n):
arr[i] = list(map(int, input().split()))
arr.sort(key=sky)
res = True
for e in arr:
sumh += e[0]
if sumh > e[1]:
res = False
break
if res:
print("Yes")
else:
print("No")
``` | instruction | 0 | 78,216 | 8 | 156,432 |
Yes | output | 1 | 78,216 | 8 | 156,433 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No
Submitted Solution:
```
def sky(x):
return x[1]
while True:
n = int(input())
if n == 0:
break
arr = [[] for i in range(n)]
sumh = 0
for i in range(n):
arr[i] = list(map(int, input().split()))
sumh += arr[i][0]
arr.sort(key=sky, reverse=True)
print(arr)
res = True
for e in arr:
if sumh > e[1]:
res = False
break
sumh -= e[0]
if res:
print("Yes")
else:
print("No")
``` | instruction | 0 | 78,217 | 8 | 156,434 |
No | output | 1 | 78,217 | 8 | 156,435 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No
Submitted Solution:
```
while True:
count_shima=input()
if count_shima==0: break
A = [list(map(int,raw_input().split())) for i in xrange(count_shima)]
A.sort()
weight=0
frg=0
for takara,turi in A:
weight +=takara
if turi < weight:
print "NO"
frg=1
break
if frg==0:
print "YES"
``` | instruction | 0 | 78,218 | 8 | 156,436 |
No | output | 1 | 78,218 | 8 | 156,437 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No
Submitted Solution:
```
while True:
n = int(input())
if n == 0:
break
z = sorted([tuple(map(int, input().split())) for _ in range(n)], key=lambda x: x[1])
cnt = total = 0
for a, b in z:
total += a
if total > b:
cnt = 1
break
print("Yes" if cnt else "No")
``` | instruction | 0 | 78,219 | 8 | 156,438 |
No | output | 1 | 78,219 | 8 | 156,439 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Long long ago, there was a thief. Looking for treasures, he was running about all over the world. One day, he heard a rumor that there were islands that had large amount of treasures, so he decided to head for there.
Finally he found n islands that had treasures and one island that had nothing. Most of islands had seashore and he can land only on an island which had nothing. He walked around the island and found that there was an old bridge between this island and each of all other n islands.
He tries to visit all islands one by one and pick all the treasures up. Since he is afraid to be stolen, he visits with bringing all treasures that he has picked up. He is a strong man and can bring all the treasures at a time, but the old bridges will break if he cross it with taking certain or more amount of treasures.
Please write a program that judges if he can collect all the treasures and can be back to the island where he land on by properly selecting an order of his visit.
Constraints
* 1 ≤ n ≤ 25
Input
Input consists of several datasets.
The first line of each dataset contains an integer n. Next n lines represents information of the islands. Each line has two integers, which means the amount of treasures of the island and the maximal amount that he can take when he crosses the bridge to the islands, respectively.
The end of input is represented by a case with n = 0.
Output
For each dataset, if he can collect all the treasures and can be back, print "Yes" Otherwise print "No"
Example
Input
3
2 3
3 6
1 2
3
2 3
3 5
1 2
0
Output
Yes
No
Submitted Solution:
```
__author__ = 'admin'
while True:
count_shima=input()
if count_shima==0: break
A = [list(map(int,raw_input().split())) for i in xrange(count_shima)]
A.sort()
weight=0
frg=0
for takara,turi in A:
weight +=takara
if turi < weight:
print "NO"
frg=1
break
if frg==0:
print "YES"
``` | instruction | 0 | 78,220 | 8 | 156,440 |
No | output | 1 | 78,220 | 8 | 156,441 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from 1 to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains 3 steps, and the second contains 4 steps, she will pronounce the numbers 1, 2, 3, 1, 2, 3, 4.
You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Input
The first line contains n (1 ≤ n ≤ 1000) — the total number of numbers pronounced by Tanya.
The second line contains integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with x steps, she will pronounce the numbers 1, 2, ..., x in that order.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Output
In the first line, output t — the number of stairways that Tanya climbed. In the second line, output t numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.
Examples
Input
7
1 2 3 1 2 3 4
Output
2
3 4
Input
4
1 1 1 1
Output
4
1 1 1 1
Input
5
1 2 3 4 5
Output
1
5
Input
5
1 2 1 2 1
Output
3
2 2 1 | instruction | 0 | 78,275 | 8 | 156,550 |
Tags: implementation
Correct Solution:
```
"""
Riyad
mriyad94@gmail.com
"""
n = int(input())
arr = list(map(int, input().split()))
ans = 1
ans_arr = list()
for i in range(0, n-1):
if arr[i] >= arr[i + 1]:
ans_arr.append(arr[i])
ans = ans + 1
ans_arr.append(arr[n-1])
print(ans)
print(*ans_arr)
``` | output | 1 | 78,275 | 8 | 156,551 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from 1 to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains 3 steps, and the second contains 4 steps, she will pronounce the numbers 1, 2, 3, 1, 2, 3, 4.
You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Input
The first line contains n (1 ≤ n ≤ 1000) — the total number of numbers pronounced by Tanya.
The second line contains integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with x steps, she will pronounce the numbers 1, 2, ..., x in that order.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Output
In the first line, output t — the number of stairways that Tanya climbed. In the second line, output t numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.
Examples
Input
7
1 2 3 1 2 3 4
Output
2
3 4
Input
4
1 1 1 1
Output
4
1 1 1 1
Input
5
1 2 3 4 5
Output
1
5
Input
5
1 2 1 2 1
Output
3
2 2 1 | instruction | 0 | 78,276 | 8 | 156,552 |
Tags: implementation
Correct Solution:
```
n = int(input())
seq = [x for x in input().split()]
print(seq.count("1"))
ans = []
for i in range(1, n):
if seq[i] == "1":
ans.append(seq[i-1])
ans.append(seq[-1])
print(' '.join(ans))
``` | output | 1 | 78,276 | 8 | 156,553 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from 1 to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains 3 steps, and the second contains 4 steps, she will pronounce the numbers 1, 2, 3, 1, 2, 3, 4.
You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Input
The first line contains n (1 ≤ n ≤ 1000) — the total number of numbers pronounced by Tanya.
The second line contains integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with x steps, she will pronounce the numbers 1, 2, ..., x in that order.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Output
In the first line, output t — the number of stairways that Tanya climbed. In the second line, output t numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.
Examples
Input
7
1 2 3 1 2 3 4
Output
2
3 4
Input
4
1 1 1 1
Output
4
1 1 1 1
Input
5
1 2 3 4 5
Output
1
5
Input
5
1 2 1 2 1
Output
3
2 2 1 | instruction | 0 | 78,277 | 8 | 156,554 |
Tags: implementation
Correct Solution:
```
'''input
5
1 2 1 2 1
'''
n = int(input())
l = [int(i) for i in input().split(" ")] + [0]
ans = 0
m = []
for i in range(n):
if l[i] != l[i + 1] - 1:
ans += 1
m.append(l[i])
print(ans)
print(*m)
``` | output | 1 | 78,277 | 8 | 156,555 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from 1 to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains 3 steps, and the second contains 4 steps, she will pronounce the numbers 1, 2, 3, 1, 2, 3, 4.
You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Input
The first line contains n (1 ≤ n ≤ 1000) — the total number of numbers pronounced by Tanya.
The second line contains integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with x steps, she will pronounce the numbers 1, 2, ..., x in that order.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Output
In the first line, output t — the number of stairways that Tanya climbed. In the second line, output t numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.
Examples
Input
7
1 2 3 1 2 3 4
Output
2
3 4
Input
4
1 1 1 1
Output
4
1 1 1 1
Input
5
1 2 3 4 5
Output
1
5
Input
5
1 2 1 2 1
Output
3
2 2 1 | instruction | 0 | 78,278 | 8 | 156,556 |
Tags: implementation
Correct Solution:
```
n=int(input())
s=list(map(int,input().split()))
l=[]
for i in range(1,n):
if s[i] == 1:
l.append(s[i-1])
l.append(s[-1])
print(s.count(1))
print(*l)
``` | output | 1 | 78,278 | 8 | 156,557 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from 1 to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains 3 steps, and the second contains 4 steps, she will pronounce the numbers 1, 2, 3, 1, 2, 3, 4.
You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Input
The first line contains n (1 ≤ n ≤ 1000) — the total number of numbers pronounced by Tanya.
The second line contains integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with x steps, she will pronounce the numbers 1, 2, ..., x in that order.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Output
In the first line, output t — the number of stairways that Tanya climbed. In the second line, output t numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.
Examples
Input
7
1 2 3 1 2 3 4
Output
2
3 4
Input
4
1 1 1 1
Output
4
1 1 1 1
Input
5
1 2 3 4 5
Output
1
5
Input
5
1 2 1 2 1
Output
3
2 2 1 | instruction | 0 | 78,279 | 8 | 156,558 |
Tags: implementation
Correct Solution:
```
#Codeforce 1005A
num=int(input())
list1=[v for v in input().split()]
stair=1
ans=""
for i in range(num-1):
if list1[i+1]=="1":
stair+=1
ans+=(list1[i]+" ")
else:
pass
ans+=list1[num-1]
print(stair)
print(ans)
``` | output | 1 | 78,279 | 8 | 156,559 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from 1 to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains 3 steps, and the second contains 4 steps, she will pronounce the numbers 1, 2, 3, 1, 2, 3, 4.
You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Input
The first line contains n (1 ≤ n ≤ 1000) — the total number of numbers pronounced by Tanya.
The second line contains integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with x steps, she will pronounce the numbers 1, 2, ..., x in that order.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Output
In the first line, output t — the number of stairways that Tanya climbed. In the second line, output t numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.
Examples
Input
7
1 2 3 1 2 3 4
Output
2
3 4
Input
4
1 1 1 1
Output
4
1 1 1 1
Input
5
1 2 3 4 5
Output
1
5
Input
5
1 2 1 2 1
Output
3
2 2 1 | instruction | 0 | 78,280 | 8 | 156,560 |
Tags: implementation
Correct Solution:
```
def Print(s):
print(len(s))
for i in s:
print(i,end=' ')
n = int(input())
a = list(map(int,input().split()))
s = []
for i in range(1,len(a)):
if a[i] == 1:
s.append(a[i-1])
s.append(a[len(a)-1])
Print(s)
``` | output | 1 | 78,280 | 8 | 156,561 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Little girl Tanya climbs the stairs inside a multi-storey building. Every time Tanya climbs a stairway, she starts counting steps from 1 to the number of steps in this stairway. She speaks every number aloud. For example, if she climbs two stairways, the first of which contains 3 steps, and the second contains 4 steps, she will pronounce the numbers 1, 2, 3, 1, 2, 3, 4.
You are given all the numbers pronounced by Tanya. How many stairways did she climb? Also, output the number of steps in each stairway.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Input
The first line contains n (1 ≤ n ≤ 1000) — the total number of numbers pronounced by Tanya.
The second line contains integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — all the numbers Tanya pronounced while climbing the stairs, in order from the first to the last pronounced number. Passing a stairway with x steps, she will pronounce the numbers 1, 2, ..., x in that order.
The given sequence will be a valid sequence that Tanya could have pronounced when climbing one or more stairways.
Output
In the first line, output t — the number of stairways that Tanya climbed. In the second line, output t numbers — the number of steps in each stairway she climbed. Write the numbers in the correct order of passage of the stairways.
Examples
Input
7
1 2 3 1 2 3 4
Output
2
3 4
Input
4
1 1 1 1
Output
4
1 1 1 1
Input
5
1 2 3 4 5
Output
1
5
Input
5
1 2 1 2 1
Output
3
2 2 1 | instruction | 0 | 78,281 | 8 | 156,562 |
Tags: implementation
Correct Solution:
```
n = int(input())
array = list(map(int, input().split()))
array.append(1)
out = []
em = 0
for e in array:
if e <= em:
out.append(str(em))
em = e
print(len(out))
print(' '.join(out))
``` | output | 1 | 78,281 | 8 | 156,563 |
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