message stringlengths 2 16.2k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 575 109k | cluster float64 16 16 | __index_level_0__ int64 1.15k 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10 | instruction | 0 | 77,441 | 16 | 154,882 |
"Correct Solution:
```
import sys
read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
N = int(readline())
S = readline().rstrip().decode('utf-8')
def solve_partial(S):
INF = 10**18
"""
・Sは1から始まり、1で終わる
・Sは00を含まない
・したがって、Sは1,01に分解可能
・残る最小個数を調べるdp。これは、1, 101111,111101 の3種を数えることと同じ
・a, b0cccc, dddd0e として、「現在の1がどれであるか -> 最小個数」でdp
・個数はa,b,eのときに数える
"""
S = S.replace('01','2')
a,b,c,d,e = 1,1,INF,0,INF
for x in S[1:]:
ace = min(a,c,e)
if x == '1':
a2 = ace+1
c2 = c
d2 = ace if ace<d else d
e2 = INF
else:
a2 = ace+1
c2 = a
d2 = ace
e2 = d+1
a,c,d,e = a2,c2,d2,e2
return len(S)-min(a,c,e)
answer = 0
for x in S.split('00'):
x = x.strip('0')
if x:
answer += solve_partial(x)
print(answer)
``` | output | 1 | 77,441 | 16 | 154,883 |
Provide a correct Python 3 solution for this coding contest problem.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10 | instruction | 0 | 77,442 | 16 | 154,884 |
"Correct Solution:
```
import re
def update(d, k, v):
if k in d:
d[k] = max(d[k], v)
else:
d[k] = v
rep_zeros = re.compile('0{2,}')
n = input()
s = input().strip('0')
ans = 0
for ps in re.split(rep_zeros, s):
fs = ps.split('0')
lfs = len(fs)
if lfs == 1:
continue
ls = list(map(len, fs))
pl = {ls[0]: 0}
for cc in ls[1:]:
nl = {}
for pc, a in pl.items():
update(nl, cc, a)
if pc == 0:
continue
if cc == 1:
update(nl, 0, a + pc)
else:
update(nl, 0, a + cc)
update(nl, 1, a + cc - 1)
if cc > 1:
update(nl, cc - 1, a + pc)
pl = nl
ans += max(pl.values())
print(ans)
``` | output | 1 | 77,442 | 16 | 154,885 |
Provide a correct Python 3 solution for this coding contest problem.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10 | instruction | 0 | 77,443 | 16 | 154,886 |
"Correct Solution:
```
#!/usr/bin/python3
import re
from pprint import pprint
n = input()
s = input()
sb = re.sub(r'^0+', '', s)
sb = re.sub(r'0+$', '', sb)
sb = re.sub(r'00+', '-', sb)
#pprint('---- sb = %s' % (sb, ))
tlist = sb.split('-')
#pprint('---- tlist = %s' % (tlist, ))
counts_list = []
for t in tlist:
counts = []
tt = t.split('0')
for ttt in tt:
counts.append(len(ttt))
counts_list.append(counts)
#pprint('---- counts_list = %s' % (counts_list, ))
ans = 0
for counts in counts_list:
len_counts = len(counts)
sum_all = sum_decr = sum_one = sum_zero = 0
for i in range(len_counts - 1):
new_sum_all = new_sum_decr = new_sum_one = new_sum_zero = 0
# do nothing
new_sum_all = max(sum_all, sum_decr, sum_one, sum_zero)
# go to left all
new_sum_decr = max(new_sum_decr, sum_all + counts[i])
new_sum_decr = max(new_sum_decr, sum_decr + counts[i] - 1)
new_sum_decr = max(new_sum_decr, sum_one + 1)
# go to right all - 1
new_sum_one = max(new_sum_one, sum_all + counts[i+1] - 1)
if (counts[i] >= 2):
new_sum_one = max(new_sum_one, sum_decr + counts[i+1] - 1)
new_sum_one = max(new_sum_one, sum_one + counts[i+1] - 1)
# go to right all
new_sum_zero = max(new_sum_zero, sum_all + counts[i+1])
if (counts[i] >= 2):
new_sum_zero = max(new_sum_zero, sum_decr + counts[i+1])
new_sum_zero = max(new_sum_zero, sum_one + counts[i+1])
sum_all = new_sum_all
sum_decr = new_sum_decr
sum_one = new_sum_one
sum_zero = new_sum_zero
#pprint(' sum_all=%d sum_decr=%d sum_one=%d sum_zero=%d' %
# (sum_all, sum_decr, sum_one, sum_zero))
#pprint('---- incr = %d' % max(sum_all, sum_decr, sum_one, sum_zero))
ans += max(sum_all, sum_decr, sum_one, sum_zero)
print(ans)
``` | output | 1 | 77,443 | 16 | 154,887 |
Provide a correct Python 3 solution for this coding contest problem.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10 | instruction | 0 | 77,444 | 16 | 154,888 |
"Correct Solution:
```
#!/usr/bin/python3
import re
n = input()
s = input()
sb = re.sub(r'^0+', '', s)
sb = re.sub(r'0+$', '', sb)
sb = re.sub(r'00+', '-', sb)
tlist = sb.split('-')
counts_list = []
for t in tlist:
counts = []
tt = t.split('0')
for ttt in tt:
counts.append(len(ttt))
counts_list.append(counts)
ans = 0
for counts in counts_list:
len_counts = len(counts)
sum_all = sum_decr = sum_one = sum_zero = 0
for i in range(len_counts - 1):
new_sum_all = new_sum_decr = new_sum_one = new_sum_zero = 0
# do nothing
new_sum_all = max(sum_all, sum_decr, sum_one, sum_zero)
# go to left all
new_sum_decr = max(new_sum_decr, sum_all + counts[i])
new_sum_decr = max(new_sum_decr, sum_decr + counts[i] - 1)
new_sum_decr = max(new_sum_decr, sum_one + 1)
# go to right all - 1
new_sum_one = max(new_sum_one, sum_all + counts[i+1] - 1)
if (counts[i] >= 2):
new_sum_one = max(new_sum_one, sum_decr + counts[i+1] - 1)
new_sum_one = max(new_sum_one, sum_one + counts[i+1] - 1)
# go to right all
new_sum_zero = max(new_sum_zero, sum_all + counts[i+1])
if (counts[i] >= 2):
new_sum_zero = max(new_sum_zero, sum_decr + counts[i+1])
new_sum_zero = max(new_sum_zero, sum_one + counts[i+1])
sum_all = new_sum_all
sum_decr = new_sum_decr
sum_one = new_sum_one
sum_zero = new_sum_zero
ans += max(sum_all, sum_decr, sum_one, sum_zero)
print(ans)
``` | output | 1 | 77,444 | 16 | 154,889 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted Solution:
```
N = int(input())
s = input()
# 「連続する1の数」のリストに変換する
s = s[s.find('1'):] # 先頭の'0'を取り除く
while s.count('000'):
s = s.replace('000', '00')
cs = list(map(len, s.split('0')))
# dp[i]: i番目の「連続する1」への各処理（操作に使わない／左の１つだけ使う／右の１つを残して使う／全て使う）
# に対して、現時点での操作回数の最大値
dp = [[-float('inf')] * 4 for i in range(len(cs))]
dp[0][0] = 0
for i in range(1, len(cs)):
if cs[i] == 0:
dp[i][3] = max(dp[i - 1])
continue
# 使わない
dp[i][0] = max(dp[i - 1])
# 全て使う
dp[i][3] = max(dp[i - 1][0] + max(cs[i - 1], cs[i]), \
dp[i - 1][1] + max(cs[i - 1] - 1, cs[i]), \
dp[i - 1][2] + cs[i], \
dp[i - 1][3])
if cs[i] >= 2:
# 左の１つだけ使う
dp[i][1] = max(dp[i - 1][0] + cs[i - 1], \
dp[i - 1][1] + cs[i - 1] - 1, \
dp[i - 1][2] + 1, \
dp[i - 1][3])
# 右の１つを残して使う
dp[i][2] = max(dp[i - 1][0] + max(cs[i - 1], cs[i] - 1), \
dp[i - 1][1] + max(cs[i - 1] - 1, cs[i] - 1), \
dp[i - 1][2] + cs[i] - 1, \
dp[i - 1][3])
print(max(dp[-1]))
``` | instruction | 0 | 77,445 | 16 | 154,890 |
Yes | output | 1 | 77,445 | 16 | 154,891 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted Solution:
```
n = int(input())
s = input()
ss = []
cnt = 0
for c in s:
if c == '1':
cnt += 1
else:
if cnt > 0:
ss.append(cnt)
cnt = 0
ss.append(cnt)
if cnt > 0:
ss.append(cnt)
def solve(seq):
l = len(seq)
if not seq:
return 0
while seq[-1] == 0:
seq.pop()
#dp = [0]*(l+1)
dp = [[0]*3 for i in range(l+1)]
#print(seq)
for i in range(l):
# 0 -> 0, 1 -> 0, 2 -> 0
nxt = max(dp[i])
dp[i+1][0] = max(dp[i+1][0], nxt)
if i+1 < l:
if seq[i] >= 2:
# 0 -> 1
dp[i+1][1] = max(dp[i+1][1], dp[i][0] + seq[i])
if seq[i] >= 2 and seq[i+1] >= 2:
# 1 -> 1
dp[i+1][1] = max(dp[i+1][1], dp[i][1] + seq[i]-1)
# 2 -> 1
dp[i+1][1] = max(dp[i+1][1], dp[i][2] + 1)
# 1 -> 2
dp[i+1][2] = max(dp[i+1][2], dp[i][1] + max(seq[i], seq[i+1])-1)
# 2 -> 2
dp[i+1][2] = max(dp[i+1][2], dp[i][2] + seq[i+1]-1)
if seq[i+1] >= 2:
# 0 -> 2
dp[i+1][2] = max(dp[i+1][2], dp[i][0] + max(seq[i], seq[i+1]-1))
if i+2 <= l:
dp[i+2][0] = max(dp[i+2][0], dp[i][0] + max(seq[i], seq[i+1]))
if seq[i] >= 2:
dp[i+2][0] = max(dp[i+2][0], dp[i][1] + max(seq[i]-1, seq[i+1]))
dp[i+2][0] = max(dp[i+2][0], dp[i][2] + seq[i+1])
#print(dp[i])
#print(dp[l])
#print("-")
return max(max(e) for e in dp)
idx = 0
cur = []
ans = 0
while idx < len(ss):
if idx+1 < len(ss) and ss[idx] == ss[idx+1] == 0:
idx += 2
ans += solve(cur)
cur = []
elif not cur and ss[idx] == 0:
idx += 1
else:
if ss[idx]:
cur.append(ss[idx])
idx += 1
if cur:
ans += solve(cur)
print(ans)
``` | instruction | 0 | 77,446 | 16 | 154,892 |
Yes | output | 1 | 77,446 | 16 | 154,893 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted 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
import string
from bisect import bisect_left, bisect_right
from math import factorial, ceil, floor
from operator import mul
from functools import reduce
sys.setrecursionlimit(2147483647)
INF = 10 ** 13
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS(): return sys.stdin.readline().rstrip().split()
def S(): return sys.stdin.readline().rstrip()
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 = 10 ** 9 + 7
n = I()
s = list(S())
ans = 0
one_cnt = 0
z_cnt = 0
dp = []
flg = 0
for i in range(n):
if s[i] == "1":
one_cnt += 1
z_cnt = 0
if flg:
if dp:
ans += max(dp)
dp = []
flg = 0
if i == n - 1 or s[i + 1] == "0":
# 手付かず、左端だけ消した、右端だけ残す、全て消した。
if dp:
if one_cnt > 2:
ndp = [max(dp), max(dp[0] + pre, dp[1] + pre - 1, dp[2] + 1),
max(dp[0], dp[1], dp[2]) + one_cnt - 1,
max(dp[0], dp[1], dp[2]) + one_cnt]
elif one_cnt == 2:
ndp = [max(dp), max(dp[0] + pre, dp[1] + pre - 1, dp[2] + 1),
max(dp[0] + pre, dp[1] + pre - 1, dp[2] + 1),
max(dp[0], dp[1], dp[2]) + 2]
else:
ndp = [-INF, -INF, max(dp),
max(dp[0] + pre, dp[1] + pre - 1, dp[2] + 1)]
dp = ndp
else:
dp = [0, -INF, -INF, -INF]
pre = one_cnt
else:
z_cnt += 1
one_cnt = 0
if z_cnt >= 2:
flg = 1
if dp:
ans += max(dp)
print(ans)
``` | instruction | 0 | 77,447 | 16 | 154,894 |
Yes | output | 1 | 77,447 | 16 | 154,895 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted Solution:
```
import sys
readline = sys.stdin.readline
INF = 10**9+7
class Segtree:
def __init__(self, A, intv, initialize = True, segf = max):
self.N = len(A)
self.N0 = 2**(self.N-1).bit_length()
self.intv = intv
self.segf = segf
if initialize:
self.data = [intv]*self.N0 + A + [intv]*(self.N0 - self.N)
for i in range(self.N0-1, 0, -1):
self.data[i] = self.segf(self.data[2*i], self.data[2*i+1])
else:
self.data = [intv]*(2*self.N0)
def update(self, k, x):
k += self.N0
self.data[k] = x
while k > 0 :
k = k >> 1
self.data[k] = self.segf(self.data[2*k], self.data[2*k+1])
def query(self, l, r):
L, R = l+self.N0, r+self.N0
s = self.intv
while L < R:
if R & 1:
R -= 1
s = self.segf(s, self.data[R])
if L & 1:
s = self.segf(s, self.data[L])
L += 1
L >>= 1
R >>= 1
return s
def binsearch(self, l, r, check, reverse = False):
L, R = l+self.N0, r+self.N0
SL, SR = [], []
while L < R:
if R & 1:
R -= 1
SR.append(R)
if L & 1:
SL.append(L)
L += 1
L >>= 1
R >>= 1
if reverse:
for idx in (SR + SL[::-1]):
if check(self.data[idx]):
break
else:
return -1
while idx < self.N0:
if check(self.data[2*idx+1]):
idx = 2*idx + 1
else:
idx = 2*idx
return idx - self.N0
else:
pre = self.data[l+self.N0]
for idx in (SL + SR[::-1]):
if not check(self.segf(pre, self.data[idx])):
pre = self.segf(pre, self.data[idx])
else:
break
else:
return -1
while idx < self.N0:
if check(self.segf(pre, self.data[2*idx])):
idx = 2*idx
else:
pre = self.segf(pre, self.data[2*idx])
idx = 2*idx + 1
return idx - self.N0
N = int(readline())
S = [0]+list(map(int, readline().strip()))
leftone = [None]*(N+1)
left = None
for i in range(N+1):
if S[i] == 1:
if left is None:
left = i
leftone[i] = left
else:
left = None
T = Segtree([None]*(N+1), -INF, initialize = False)
dp = [0]*(N+1)
T.update(0, 0)
T.update(1, -1)
T.update(2, -2)
for i in range(3, N+1):
res = dp[i-1]
if S[i] == 1:
if S[i-1] == 0 and S[i-2] == 1:
left = leftone[i-2]
res = max(res, T.query(left-1, i-2)+i-2)
if leftone[i] > 2 and S[leftone[i]-1] == 0 and S[leftone[i]-2] == 1:
res = max(res, dp[leftone[i]-3] + i-leftone[i]+2-1)
dp[i] = res
T.update(i, dp[i]-i)
print(dp[-1])
``` | instruction | 0 | 77,448 | 16 | 154,896 |
Yes | output | 1 | 77,448 | 16 | 154,897 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted Solution:
```
n = int(input())
s = input()
ss = []
cnt = 0
for c in s:
if c == '1':
cnt += 1
else:
if cnt > 0:
ss.append(cnt)
cnt = 0
ss.append(cnt)
if cnt > 0:
ss.append(cnt)
def solve(seq):
l = len(seq)
if not seq:
return 0
while seq[-1] == 0:
seq.pop()
#dp = [0]*(l+1)
dp = [[0]*3 for i in range(l+1)]
for i in range(l):
# 0 -> 0, 1 -> 0, 2 -> 0
nxt = max(dp[i])
dp[i+1][0] = max(dp[i+1][0], nxt)
if i+1 < l:
if seq[i] >= 2:
# 0 -> 1
dp[i+1][1] = max(dp[i+1][1], dp[i][0] + seq[i])
if seq[i] >= 2 and seq[i+1] >= 2:
# 1 -> 1
dp[i+1][1] = max(dp[i+1][1], dp[i][1] + seq[i]-1)
# 2 -> 1
dp[i+1][1] = max(dp[i+1][1], dp[i][2] + 1)
# 1 -> 2
dp[i+1][2] = max(dp[i+1][2], dp[i][1] + max(seq[i], seq[i+1])-1)
# 2 -> 2
dp[i+1][2] = max(dp[i+1][2], dp[i][2] + seq[i+1]-1)
if seq[i+1] >= 2:
# 0 -> 2
dp[i+1][2] = max(dp[i+1][2], dp[i][0] + max(seq[i], seq[i+1]-1))
if i+2 <= l:
dp[i+2][0] = max(dp[i+2][0], dp[i][0] + max(seq[i], seq[i+1]))
dp[i+2][0] = max(dp[i+2][0], dp[i][1] + max(seq[i]-1, seq[i+1]))
return max(max(e) for e in dp)
idx = 0
cur = []
ans = 0
while idx < len(ss):
if idx+1 < len(ss) and ss[idx] == ss[idx+1] == 0:
idx += 2
ans += solve(cur)
cur = []
elif not cur and ss[idx] == 0:
idx += 1
else:
if ss[idx]:
cur.append(ss[idx])
idx += 1
if cur:
ans += solve(cur)
print(ans)
``` | instruction | 0 | 77,449 | 16 | 154,898 |
No | output | 1 | 77,449 | 16 | 154,899 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted Solution:
```
def get_score(q):
score = 0
l = len(q)
if l < 2:
return 0
if l % 2 == 0:
for i in range(0,l,2):
score += max(q[i], q[i+1])
else:
m = float('inf')
for i in range(0, l, 2):
m = min(m, q[i])
score = sum(q) - m - l//2
return score
n = int(input())
s = input()
parts = list(filter(lambda x:x, map(lambda x:x.strip('0'), s.split('00'))))
total = 0
for part in parts:
p = []
cnt = 0
for c in part:
if c == '1':
cnt += 1
else:
p.append(cnt)
cnt = 0
if cnt > 0:
p.append(cnt)
q = []
L = len(p)
for i in range(L):
if p[i] > 1:
if i>0 and q and q[-1] > 1:
if q[-1] == 1:
pass
else:
q[-1] -= 1
q.append(1)
q.append(p[i]-1)
total += 1
else:
q.append(p[i])
else:
q.append(p[i])
total += get_score(q)
# print(p,q)
print(total)
# ones = list(map(lambda x:len(x)-2, part.split('0')))
# print(part, ones)
# len_ = len(ones)
# if len_ <= 1:
# continue
# total += len_ - 1
# ones[0] += 1
# ones[-1] += 1
# print(part, sum(ones) - min(ones), ones)
# total += sum(ones) - min(ones)
# print(total)
``` | instruction | 0 | 77,450 | 16 | 154,900 |
No | output | 1 | 77,450 | 16 | 154,901 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted Solution:
```
N = int(input())
s = list(input())
count = 0
idx = 0
while True:
if N - 2 <= idx:
break
if s[idx:idx + 3] == ['1', '0', '1']:
countL = 1
for i in range(0, idx)[::-1]:
if s[i] == '0':
break
countL += 1
countR = 1
for i in range(idx + 3, N):
if s[i] == '0':
break
countR += 1
print(countL, countR)
if countR <= countL:
count += countL
s[idx + 2] = '0'
else:
count += countR
idx += countR
s[idx + 1] = '0'
idx += 1
print(count)
``` | instruction | 0 | 77,451 | 16 | 154,902 |
No | output | 1 | 77,451 | 16 | 154,903 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N cells are arranged in a row. Some of them may contain tokens. You are given a string s that consists of `0`s and `1`s. If the i-th character of s is `1`, the i-th cell (from left) contains a token. Otherwise, it doesn't contain a token.
Snuke wants to perform the following operation as many times as possible. In each operation, he chooses three consecutive cells. Let's call the cells X, Y, Z from left to right. In order for the operation to be valid, both X and Z must contain tokens and Y must not contain a token. Then, he removes these two tokens and puts a new token on Y.
How many operations can he perform if he performs operations in the optimal way?
Constraints
* 1 \leq N \leq 500,000
* |s| = N
* Each character in s is either `0` or `1`.
Input
Input is given from Standard Input in the following format:
N
s
Output
Print the answer.
Examples
Input
7
1010101
Output
2
Input
50
10101000010011011110001001111110000101010111100110
Output
10
Submitted Solution:
```
l = int(input())
s = input()
def BFS(start,l):
queue = [(0,start)]
seen = set()
index = 0
while index < len(queue):
x = 0
y = 1
z = 2
current = queue[index]
# Slide through the string for 101
while z < l:
p = current[1][:x] + "010" + current[1][z+1:]
if current[1][x] == "1" and current[1][y] == "0" and current[1][z] == "1" and p not in seen:
queue.append((current[0]+1,p))
z += 1
y += 1
x += 1
seen.add(current[1])
index += 1
queue = sorted(queue)
return queue[-1]
print(BFS(s,l)[0])
``` | instruction | 0 | 77,452 | 16 | 154,904 |
No | output | 1 | 77,452 | 16 | 154,905 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,079 | 16 | 156,158 |
"Correct Solution:
```
N,x=map(int,input().split())
A=list(map(int,input().split()))
A.sort()
ans=0
for i in range(N):
if x>=A[i]:
x-=A[i]
ans+=1
else:
break
if i==N-1 and x>0:
ans-=1
print(ans)
``` | output | 1 | 78,079 | 16 | 156,159 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,080 | 16 | 156,160 |
"Correct Solution:
```
n,x=map(int,input().split())
a=sorted([int(i)for i in input().split()])
res=0
if sum(a)==x:
res=n
else:
for i in range(n):
if sum(a[:i])<=x:res=i
print(res)
``` | output | 1 | 78,080 | 16 | 156,161 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,081 | 16 | 156,162 |
"Correct Solution:
```
N,X= map(int,input().split())
A = [int(a) for a in input().split()]
A.sort()
tmp = 0
ans = 0
for a in A:
tmp+=a
if tmp<=X:
ans+=1
if ans==N and tmp<X:
ans-=1
print(ans)
``` | output | 1 | 78,081 | 16 | 156,163 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,082 | 16 | 156,164 |
"Correct Solution:
```
n,x = [int(x) for x in input().split()]
a = list(map(int, input().split()))
sortA1 = sorted(a)
ans = 0
for i in range(n):
x-=sortA1[i]
if x >= 0:
ans+=1
print(ans - (x > 0))
``` | output | 1 | 78,082 | 16 | 156,165 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,083 | 16 | 156,166 |
"Correct Solution:
```
n, x = map(int, input().split())
a = sorted(list(map(int, input().split())))
i = 0
sum = 0
while x > sum and i < n:
sum += a[i]
i += 1
if sum == x:
print(i)
else:
print(i-1)
``` | output | 1 | 78,083 | 16 | 156,167 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,084 | 16 | 156,168 |
"Correct Solution:
```
N, X = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
ans = 0
for a in A:
if X >= a:
ans += 1
X -= a
if ans == N and X > 0:
ans -= 1
print(ans)
``` | output | 1 | 78,084 | 16 | 156,169 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,085 | 16 | 156,170 |
"Correct Solution:
```
n,x = map(int,input().split())
a = list(map(int,input().split()))
a.sort()
for i in range(1,n):
if sum(a[:i]) > x:
print(i-1)
exit()
if sum(a[:n]) == x:
print(n)
else:
print(n-1)
``` | output | 1 | 78,085 | 16 | 156,171 |
Provide a correct Python 3 solution for this coding contest problem.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0 | instruction | 0 | 78,086 | 16 | 156,172 |
"Correct Solution:
```
N,x,*A=map(int,open(0).read().split());A.sort();s=sum(A)
if s==x:print(N)
else:
W=[0]
for a in A[::-1]:W+=[W[-1]+a]
for i,w in enumerate(W[1:],1):
if w>=s-x:print(N-i);break
``` | output | 1 | 78,086 | 16 | 156,173 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
n,x=map(int,input().split())
a=list(map(int,input().split()))
a.sort()
ans,cnt=[0,0]
for i in range(n):
cnt+=a[i]
if cnt>x: break
ans+=1
if i==n-1 and cnt!=x: ans-=1
print(ans)
``` | instruction | 0 | 78,087 | 16 | 156,174 |
Yes | output | 1 | 78,087 | 16 | 156,175 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
n, x = map(int, input().split())
a = list(map(int, input().split()))
a.sort(); b = 0
for i in range(len(a)):
if x >= a[i]: x -= a[i]; b += 1
else: break
else:
if x > 0: b -= 1
print(b)
``` | instruction | 0 | 78,088 | 16 | 156,176 |
Yes | output | 1 | 78,088 | 16 | 156,177 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
n,x=map(int,input().split())
a=list(map(int,input().split()))
a=sorted(a)
ans=0
for i in range(n):
x=x-a[i]
if x>=0:
ans+=1
else:
break
if x>0:
ans=ans-1
print(ans)
``` | instruction | 0 | 78,089 | 16 | 156,178 |
Yes | output | 1 | 78,089 | 16 | 156,179 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
N, x, *A = map(int, open(0).read().split())
A.sort()
ans = 0
for a in A[:-1]:
if x - a >= 0:
x -= a
ans += 1
else:
break
if x == A[-1]:
ans += 1
print(ans)
``` | instruction | 0 | 78,090 | 16 | 156,180 |
Yes | output | 1 | 78,090 | 16 | 156,181 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
n, x = map(int, input().split())
A = list(map(int, input().split()))
A.sort(reverse=True)
ans = 0
for a in A:
if x - a >= 0:
x -= a
ans += 1
if 0 < x:
ans -= 1
print(max(ans, 0))
``` | instruction | 0 | 78,091 | 16 | 156,182 |
No | output | 1 | 78,091 | 16 | 156,183 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
n,x = map(int,input().split())
a_list = list(map(int,input().split()))
a_list.sort()
count = 0
for i in range(n):
if a_list[i] <= x:
count += 1
x = x-a_list[i]
else:
break
print(count)
``` | instruction | 0 | 78,092 | 16 | 156,184 |
No | output | 1 | 78,092 | 16 | 156,185 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
N, x = [int(i) for i in input().split()]
A = [int(i) for i in input().split()]
A.sort()
count = 0
for i in range(N):
count += A[i]
if count > x:
break
print(i + 1 if i >= N - 1 else i)
``` | instruction | 0 | 78,093 | 16 | 156,186 |
No | output | 1 | 78,093 | 16 | 156,187 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N children, numbered 1, 2, ..., N.
Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.
For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.
Constraints
* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9
Input
Input is given from Standard Input in the following format:
N x
a_1 a_2 ... a_N
Output
Print the maximum possible number of happy children.
Examples
Input
3 70
20 30 10
Output
2
Input
3 10
20 30 10
Output
1
Input
4 1111
1 10 100 1000
Output
4
Input
2 10
20 20
Output
0
Submitted Solution:
```
N,x = map(int,input().split())
# a=[int(input()) for i in range(4)]
a = list(map(int,input().split()))
count = 0
#昇順に並べ替える
sort_a = sorted(a)
for i in range(len(N)):
if x >= sort_a[i]:
count += 1
x -= sort_a[i]
break
print(count)
``` | instruction | 0 | 78,094 | 16 | 156,188 |
No | output | 1 | 78,094 | 16 | 156,189 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have a string s consisting of lowercase English letters. Snuke is partitioning s into some number of non-empty substrings. Let the subtrings obtained be s_1, s_2, ..., s_N from left to right. (Here, s = s_1 + s_2 + ... + s_N holds.) Snuke wants to satisfy the following condition:
* For each i (1 \leq i \leq N), it is possible to permute the characters in s_i and obtain a palindrome.
Find the minimum possible value of N when the partition satisfies the condition.
Constraints
* 1 \leq |s| \leq 2 \times 10^5
* s consists of lowercase English letters.
Input
Input is given from Standard Input in the following format:
s
Output
Print the minimum possible value of N when the partition satisfies the condition.
Examples
Input
aabxyyzz
Output
2
Input
byebye
Output
1
Input
abcdefghijklmnopqrstuvwxyz
Output
26
Input
abcabcxabcx
Output
3
Submitted Solution:
```
from itertools import accumulate
from operator import xor
s = tuple(map(lambda c: 1 << (ord(c)-ord('a')),input()))
L = len(s)
dp = dict()
dp[0] = 0
for v in accumulate(s, xor):
dp[v] = min(dp.get(v,L), min(dp.get(v ^ (1 << i), L) for i in range(26))+1)
print(dp[v] + (v == 0))
``` | instruction | 0 | 78,122 | 16 | 156,244 |
Yes | output | 1 | 78,122 | 16 | 156,245 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,159 | 16 | 156,318 |
"Correct Solution:
```
n,x = [int(i) for i in input().split()]
length = n
n=n-x
while True:
t=n//x
length+=2*t*x
a=n
n=x
x=a-t*x
if x==0:
length-=n
break
print(length)
``` | output | 1 | 78,159 | 16 | 156,319 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,160 | 16 | 156,320 |
"Correct Solution:
```
lst=list(map(int,input().split()))
#x n-x x x n-2x n-2x n-2x
n=lst[0]
x=lst[1]
#if x==n-x :
# s=
if n-x<=x:
a,b=x,n-x
else:
a,b= n-x,x
s=n
#i=0
while b!=0:
s+=a//b*2*b
c=a
a=b
b=c%b
print(s-a)
``` | output | 1 | 78,160 | 16 | 156,321 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,161 | 16 | 156,322 |
"Correct Solution:
```
N, X = map(int, input().split())
ans = N
N -= X
while X > 0:
N, X = max(N, X), min(N, X)
ans += N // X * X * 2
N, X = X, N % X
ans -= N
print(ans)
``` | output | 1 | 78,161 | 16 | 156,323 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,162 | 16 | 156,324 |
"Correct Solution:
```
import sys
sys.setrecursionlimit(100000)
from math import floor
n,x=map(int,input().split())
ans=0
def f(x,y):
if y%x==0:
return (y//x-1)*2*x+x
return 2*x*(y//x)+f(y%x,x)
print(n+f(min(x,n-x),max(x,n-x)))
``` | output | 1 | 78,162 | 16 | 156,325 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,163 | 16 | 156,326 |
"Correct Solution:
```
N,X = map(int,input().split())
ans = N
x=X
y=N-X
if x<y:x,y=y,x
while y!=0:
k = x//y
ans += y*k*2
x,y = y,x%y
ans -= x
print(ans)
``` | output | 1 | 78,163 | 16 | 156,327 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,164 | 16 | 156,328 |
"Correct Solution:
```
N,X = map(int,input().split())
ans = N
a,b = X,N-X
if a>b: a,b = b,a
while a:
d,m = divmod(b,a)
ans += d*a*2
a,b = m,a
if a>b: a,b = b,a
ans -= b
print(ans)
``` | output | 1 | 78,164 | 16 | 156,329 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,165 | 16 | 156,330 |
"Correct Solution:
```
def gcd(a,b):
while b:a,b=b,a%b
return a
n,x=map(int,input().split());print((n-gcd(n,x))*3)
``` | output | 1 | 78,165 | 16 | 156,331 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke is conducting an optical experiment using mirrors and his new invention, the rifle of Mysterious Light.
Three mirrors of length N are set so that they form an equilateral triangle. Let the vertices of the triangle be a, b and c.
Inside the triangle, the rifle is placed at the point p on segment ab such that ap = X. (The size of the rifle is negligible.) Now, the rifle is about to fire a ray of Mysterious Light in the direction of bc.
The ray of Mysterious Light will travel in a straight line, and will be reflected by mirrors, in the same ways as "ordinary" light. There is one major difference, though: it will be also reflected by its own trajectory as if it is a mirror! When the ray comes back to the rifle, the ray will be absorbed.
The following image shows the ray's trajectory where N = 5 and X = 2.
btriangle.png
It can be shown that the ray eventually comes back to the rifle and is absorbed, regardless of the values of N and X. Find the total length of the ray's trajectory.
Constraints
* 2≦N≦10^{12}
* 1≦X≦N-1
* N and X are integers.
Input
The input is given from Standard Input in the following format:
N X
Output
Print the total length of the ray's trajectory.
Example
Input
5 2
Output
12 | instruction | 0 | 78,166 | 16 | 156,332 |
"Correct Solution:
```
n,x = map(int,input().split())
import fractions
print(3 * (n-fractions.gcd(n,x)))
``` | output | 1 | 78,166 | 16 | 156,333 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,876 | 16 | 157,752 |
"Correct Solution:
```
n,k = map(int, input().split())
ans = []
for i in range(k):
d = int(input())
ans += map(int, input().split())
print(n-len(set(ans)))
``` | output | 1 | 78,876 | 16 | 157,753 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,877 | 16 | 157,754 |
"Correct Solution:
```
n, k = map(int, input().split())
a = set()
for i in range(k):
d = int(input())
a = a | set(map(int, input().split()))
print(n - len(a))
``` | output | 1 | 78,877 | 16 | 157,755 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,878 | 16 | 157,756 |
"Correct Solution:
```
N, K = map(int, input().split())
B =[]
for i in range(K):
input()
A = list(map(int,input().split()))
B = set(list(B)+A)
print(N-len(B))
``` | output | 1 | 78,878 | 16 | 157,757 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,879 | 16 | 157,758 |
"Correct Solution:
```
n,k = list(map(int,input().split()))
s=set()
for i in range(k):
int(input())
j=set(map(int,input().split()));s=s.union(j)
print(n-len(s))
``` | output | 1 | 78,879 | 16 | 157,759 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,880 | 16 | 157,760 |
"Correct Solution:
```
N,K=map(int, input().split())
List=[list(map(int,input().split())) for i in range(2*K)]
a=[List[2*j+1] for j in range(K)]
print(N-len(set(sum(a,[]))))
``` | output | 1 | 78,880 | 16 | 157,761 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,881 | 16 | 157,762 |
"Correct Solution:
```
n,k=map(int,input().split(' '))
s=set([i+1 for i in range(n)])
for _ in range(k):
input()
s=s-set(map(int,input().split(' ')))
print(len(s))
``` | output | 1 | 78,881 | 16 | 157,763 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,882 | 16 | 157,764 |
"Correct Solution:
```
n,k=map(int,input().split())
L=[1]*n
for i in range(k):
d=int(input())
A=list(map(int,input().split()))
for a in A:
L[a-1] = 0
print(sum(L))
``` | output | 1 | 78,882 | 16 | 157,765 |
Provide a correct Python 3 solution for this coding contest problem.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2 | instruction | 0 | 78,883 | 16 | 157,766 |
"Correct Solution:
```
n, k = map(int, input().split())
A = []
for i in range(k):
d = int(input())
a = list(map(int, input().split()))
A = A + a
print(n-len(set(A)))
``` | output | 1 | 78,883 | 16 | 157,767 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2
Submitted Solution:
```
n, k=map(int, input().split())
l=[]
for i in range(1,k+1):
dummy=input()
f=list(input().split())
l+=f
t=len(set(l))
print(n-t)
``` | instruction | 0 | 78,884 | 16 | 157,768 |
Yes | output | 1 | 78,884 | 16 | 157,769 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2
Submitted Solution:
```
N, K = map(int, input().split())
l = []
for i in range(K):
s = input()
l += list(map(int, input().split()))
print(N-len(set(l)))
``` | instruction | 0 | 78,885 | 16 | 157,770 |
Yes | output | 1 | 78,885 | 16 | 157,771 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2
Submitted Solution:
```
N, K = map(int, input().split())
f = [1]*N
for _ in range(K):
input()
for i in map(int, input().split()):
f[i-1] = 0
print(sum(f))
``` | instruction | 0 | 78,886 | 16 | 157,772 |
Yes | output | 1 | 78,886 | 16 | 157,773 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2
Submitted Solution:
```
N, K = list(map(int, input().split()))
d = list()
[d.append(list(input().split())) for i in range(K * 2)]
print(N - len(set(sum(d[1::2], []))))
``` | instruction | 0 | 78,887 | 16 | 157,774 |
Yes | output | 1 | 78,887 | 16 | 157,775 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
N Snukes called Snuke 1, Snuke 2, ..., Snuke N live in a town.
There are K kinds of snacks sold in this town, called Snack 1, Snack 2, ..., Snack K. The following d_i Snukes have Snack i: Snuke A_{i, 1}, A_{i, 2}, \cdots, A_{i, {d_i}}.
Takahashi will walk around this town and make mischief on the Snukes who have no snacks. How many Snukes will fall victim to Takahashi's mischief?
Constraints
* All values in input are integers.
* 1 \leq N \leq 100
* 1 \leq K \leq 100
* 1 \leq d_i \leq N
* 1 \leq A_{i, 1} < \cdots < A_{i, d_i} \leq N
Input
Input is given from Standard Input in the following format:
N K
d_1
A_{1, 1} \cdots A_{1, d_1}
\vdots
d_K
A_{K, 1} \cdots A_{K, d_K}
Output
Print the answer.
Examples
Input
3 2
2
1 3
1
3
Output
1
Input
3 3
1
3
1
3
1
3
Output
2
Submitted Solution:
```
#!/usr/bin/env python3
import sys
# Generated by 1.1.6 https://github.com/kyuridenamida/atcoder-tools (tips: You use the default template now. You can remove this line by using your custom template)
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
N = int(next(tokens)) # type: str
K = int(next(tokens)) # type: str
# print(N, K)
g = set()
for _ in range(K):
d = int(next(tokens))
g = g or set([int(next(tokens)) for i in range(d)])
print(N - len(g))
return
if __name__ == '__main__':
main()
``` | instruction | 0 | 78,888 | 16 | 157,776 |
No | output | 1 | 78,888 | 16 | 157,777 |
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