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.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0 | instruction | 0 | 57,028 | 16 | 114,056 |
"Correct Solution:
```
s=input()
cnt=0
for i in s:
if i is '1':
cnt+=1
print(cnt)
``` | output | 1 | 57,028 | 16 | 114,057 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
s=input()
ans=0
for i in s:
ans+=int(i)
print(ans)
``` | instruction | 0 | 57,029 | 16 | 114,058 |
Yes | output | 1 | 57,029 | 16 | 114,059 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
s=input()
ans=0
for i in range(len(s)):
if s[i]=="1":
ans+=1
print(ans)
``` | instruction | 0 | 57,030 | 16 | 114,060 |
Yes | output | 1 | 57,030 | 16 | 114,061 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
def main():
S = input()
print(S.count('1'))
if __name__ == "__main__":
main()
``` | instruction | 0 | 57,031 | 16 | 114,062 |
Yes | output | 1 | 57,031 | 16 | 114,063 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
s = list(input())
f = lambda x:1 if x=="1" else 0
y = list(map(f, s))
print(sum(y))
``` | instruction | 0 | 57,032 | 16 | 114,064 |
Yes | output | 1 | 57,032 | 16 | 114,065 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
l = list(input())
a = [int(x) for x in l]
prtint(sum(a))
``` | instruction | 0 | 57,033 | 16 | 114,066 |
No | output | 1 | 57,033 | 16 | 114,067 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
s=input()
ans=0
for i in range(n):
if s[i]=="1":
ans+=1
print(ans)
``` | instruction | 0 | 57,034 | 16 | 114,068 |
No | output | 1 | 57,034 | 16 | 114,069 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
111100
``` | instruction | 0 | 57,035 | 16 | 114,070 |
No | output | 1 | 57,035 | 16 | 114,071 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke prepared 6 problems for a upcoming programming contest. For each of those problems, Rng judged whether it can be used in the contest or not.
You are given a string S of length 6. If the i-th character of s is `1`, it means that the i-th problem prepared by Snuke is accepted to be used; `0` means that the problem is not accepted.
How many problems prepared by Snuke are accepted to be used in the contest?
Constraints
* The length of S is 6.
* S consists of `0` and `1`.
Inputs
Input is given from Standard Input in the following format:
S
Outputs
Print the number of problems prepared by Snuke that are accepted to be used in the contest.
Examples
Input
111100
Output
4
Input
001001
Output
2
Input
000000
Output
0
Submitted Solution:
```
print(list(input).count(1))
``` | instruction | 0 | 57,036 | 16 | 114,072 |
No | output | 1 | 57,036 | 16 | 114,073 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2 | instruction | 0 | 57,867 | 16 | 115,734 |
"Correct Solution:
```
from operator import itemgetter
import sys
input = sys.stdin.buffer.readline
class BIT:
"""区間加算、一点取得クエリをそれぞれO(logN)で答えるデータ構造"""
def __init__(self, n):
self.n = n
self.bit = [0] * (n + 1)
def _add(self, i, val):
while i > 0:
self.bit[i] += val
i -= i & -i
def get_val(self, i):
"""i番目の値を求める"""
i = i + 1
s = 0
while i <= self.n:
s += self.bit[i]
i += i & -i
return s
def add(self, l, r, val):
"""区間[l, r)にvalを加える"""
self._add(r, val)
self._add(l, -val)
n, m = map(int, input().split())
info = [list(map(int, input().split())) for i in range(n)]
for i in range(n):
info[i] = info[i][0], info[i][1], info[i][1] - info[i][0] + 1
info = sorted(info, key=itemgetter(2))
bit = BIT(m + 1)
l_info = 0
ans = n
res = [0] * m
for d in range(1, m + 1):
while True:
if l_info < n and info[l_info][2] < d:
l, r, _ = info[l_info]
bit.add(l, r + 1, 1)
l_info += 1
ans -= 1
else:
break
cnt = ans
for i in range(0, m + 1, d):
cnt += bit.get_val(i)
res[d - 1] = cnt
print('\n'.join(map(str, res)), end='\n')
``` | output | 1 | 57,867 | 16 | 115,735 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2 | instruction | 0 | 57,869 | 16 | 115,738 |
"Correct Solution:
```
import sys
from operator import itemgetter
mod = 10**9 + 7
inf = 1<<30
def solve():
N, M = map(int, sys.stdin.readline().split())
sects = []
for i in range(N):
li, ri = map(int, sys.stdin.readline().split())
sects.append((li - 1, ri, ri - li + 1))
sects.sort(key=itemgetter(2))
# print(sects)
print(N)
left = 0
ft = FenwickTree([0]*(M + 1))
for d in range(2, M + 1):
for j in range(left, N):
if sects[j][2] >= d:
left = j
break
else:
ft.add(sects[j][0], 1)
ft.add(sects[j][1], -1)
else:
left = N
# print('left', left)
# print(ft.data)
ans = N - left + sum(ft.get_sum(j) for j in range(d, M + 1, d))
print(ans)
class FenwickTree:
def __init__(self, a):
self.n = len(a)
self.data = [0] + a[:]
for i in range(1, self.n + 1):
if i + (i & (-i)) <= self.n:
self.data[i + (i & (-i))] += self.data[i]
def add(self, i, x):
''' a[i] += x '''
i += 1 # 0-oringn -> 1-origin
while i <= self.n:
self.data[i] += x
i += i & (-i)
def get_sum(self, r):
''' sum[a_0 .. a_r) '''
res = 0
while r > 0:
res += self.data[r]
r -= r & (-r)
return res
if __name__ == '__main__':
solve()
``` | output | 1 | 57,869 | 16 | 115,739 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2 | instruction | 0 | 57,870 | 16 | 115,740 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
def solve():
def makeBIT(numEle):
numPow2 = 2 ** (numEle-1).bit_length()
data = [0] * (numPow2+1)
return data, numPow2
def addValue(iA, A):
iB = iA + 1
while iB > 0:
data[iB] += A
iB -= iB & -iB
def getValue(iA):
iB = iA + 1
ans = 0
while iB <= numPow2:
ans += data[iB]
iB += iB & -iB
return ans
def addRangeValue(iFr, iTo, A):
addValue(iTo, A)
if iFr > 0:
addValue(iFr-1, -A)
N, M = map(int, input().split())
LRss = [[] for _ in range(M+1)]
for _ in range(N):
L, R = map(int, input().split())
LRss[R-L+1].append((L, R))
data, numPow2 = makeBIT(M+1)
anss = []
numOK = N
for d in range(1, M+1):
ans = numOK
for i in range(d, M+1, d):
ans += getValue(i)
anss.append(ans)
numOK -= len(LRss[d])
for L, R in LRss[d]:
addRangeValue(L, R, 1)
print('\n'.join(map(str, anss)))
solve()
``` | output | 1 | 57,870 | 16 | 115,741 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2 | instruction | 0 | 57,871 | 16 | 115,742 |
"Correct Solution:
```
import sys
from operator import itemgetter
mod = 10**9 + 7
inf = 1<<30
def solve():
N, M = map(int, sys.stdin.readline().split())
sects = []
for i in range(N):
li, ri = map(int, sys.stdin.readline().split())
sects.append((li, ri + 1, ri - li + 1))
sects.sort(key=itemgetter(2))
print(N)
left = 0
ft = FenwickTree(M + 1)
for d in range(2, M + 1):
for j in range(left, N):
if sects[j][2] >= d:
left = j
break
else:
ft.add(sects[j][0], 1)
ft.add(sects[j][1], -1)
else:
left = N
ans = N - left + sum(ft.get_sum(j) for j in range(d, M + 1, d))
print(ans)
class FenwickTree:
def __init__(self, size):
self.n = size
self.data = [0]*(size + 1)
def add(self, i, x):
while i <= self.n:
self.data[i] += x
i += i & (-i)
def get_sum(self, r):
res = 0
while r > 0:
res += self.data[r]
r -= r & (-r)
return res
if __name__ == '__main__':
solve()
``` | output | 1 | 57,871 | 16 | 115,743 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2 | instruction | 0 | 57,872 | 16 | 115,744 |
"Correct Solution:
```
class BIT(object):
def __init__(self, size):
self.size = size
self.bit = [0] * (self.size + 1)
def sum(self, i):
s = 0
while i > 0:
s += self.bit[i]
i -= i & -i
return s
def add(self, i, x):
while i <= self.size:
self.bit[i] += x
i += i & -i
def __str__(self):
return str(self.bit)
n, m = map(int,input().split())
lr = [[] for i in range(m + 1)]
for i in range(n):
l, r = map(int,input().split())
lr[r - l + 1].append(l)
bit = BIT(m + 1)
t = 0
for d in range(1, m + 1):
for l in lr[d]:
#print(l, l + d)
bit.add(l, 1)
#print(bit.bit)
bit.add(l + d, -1)
#print(bit.bit)
t += len(lr[d])
ans = n - t
cur = 0
while cur <= m:
# bitの0 ~ curまでの総和を加算
ans += bit.sum(cur)
cur += d
print(ans)
``` | output | 1 | 57,872 | 16 | 115,745 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2 | instruction | 0 | 57,873 | 16 | 115,746 |
"Correct Solution:
```
class BIT(object):
def __init__(self, size):
self.size = size
self.bit = [0] * (self.size + 1)
def sum(self, i):
s = 0
while i > 0:
s += self.bit[i]
i -= i & -i
return s
def add(self, i, x):
while i <= self.size:
self.bit[i] += x
i += i & -i
def __str__(self):
return str(self.bit)
n, m = map(int,input().split())
lr = [[] for i in range(m + 1)]
for i in range(n):
l, r = map(int,input().split())
lr[r - l + 1].append(l)
bit = BIT(m + 1)
t = 0
for d in range(1, m + 1):
for l in lr[d]:
#print(l, l + d)
bit.add(l, 1)
#print(bit.bit)
bit.add(l + d, -1)
#print(bit.bit)
t += len(lr[d])
ans = n - t
cur = 0
while cur <= m:
ans += bit.sum(cur)
cur += d
print(ans)
``` | output | 1 | 57,873 | 16 | 115,747 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2 | instruction | 0 | 57,874 | 16 | 115,748 |
"Correct Solution:
```
def bitadd(a,w,bit): #aにwを加える(1-origin)
x = a
while x <= (len(bit)-1):
bit[x] += w
x += x & (-1 * x)
def bitsum(x,bit): #ind 1～aまでの和を求める
ret = 0
while x:
ret += bit[x]
x -= x & (-1 * x)
return ret
#区間更新BIT(BITを2つ用意し、BITの長さをN+2で初期化しておくべし)
def bitaddR(l,r,w,bit1,bit2): #半開区間[l,r)にwを加える
bitadd(l,-1*w*l,bit1)
bitadd(r,w*r,bit1)
bitadd(l,w,bit2)
bitadd(r,-1*w,bit2)
def bitsumR(r,bit1,bit2): #半開区間[1,r)の区間和
return bitsum(r,bit1) + r * bitsum(r,bit2)
N,M = map(int,input().split())
BIT = [0] * (M+1)
dic = {}
for i in range(N):
l,r = map(int,input().split())
if r-l+1 not in dic:
dic[r-l+1] = []
dic[r-l+1].append([l,r])
ind = 0
ns = N
ans = []
for d in range(M):
d += 1
if d in dic:
for L,R in dic[d]:
bitadd(L , 1 ,BIT)
bitadd(R+1 , -1 , BIT)
ns -= 1
nm = 0
for i in range(d,M+1,d):
nm += bitsum(i,BIT)
ans.append(nm+ns)
print ("\n".join(map(str,ans)))
``` | output | 1 | 57,874 | 16 | 115,749 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has decided to play a game, where the player runs a railway company. There are M+1 stations on Snuke Line, numbered 0 through M. A train on Snuke Line stops at station 0 and every d-th station thereafter, where d is a predetermined constant for each train. For example, if d = 3, the train stops at station 0, 3, 6, 9, and so forth.
There are N kinds of souvenirs sold in areas around Snuke Line. The i-th kind of souvenirs can be purchased when the train stops at one of the following stations: stations l_i, l_i+1, l_i+2, ..., r_i.
There are M values of d, the interval between two stops, for trains on Snuke Line: 1, 2, 3, ..., M. For each of these M values, find the number of the kinds of souvenirs that can be purchased if one takes a train with that value of d at station 0. Here, assume that it is not allowed to change trains.
Constraints
* 1 ≦ N ≦ 3 × 10^{5}
* 1 ≦ M ≦ 10^{5}
* 1 ≦ l_i ≦ r_i ≦ M
Input
The input is given from Standard Input in the following format:
N M
l_1 r_1
:
l_{N} r_{N}
Output
Print the answer in M lines. The i-th line should contain the maximum number of the kinds of souvenirs that can be purchased if one takes a train stopping every i-th station.
Examples
Input
3 3
1 2
2 3
3 3
Output
3
2
2
Input
7 9
1 7
5 9
5 7
5 9
1 1
6 8
3 4
Output
7
6
6
5
4
5
5
3
2
Submitted Solution:
```
import sys
input = sys.stdin.readline
def main():
n, m = map(int, input().split())
LR = [list(map(int, input().split())) for _ in range(n)]
BIT = [0]*(m+2)
def add(i, a):
while i <= m+1:
BIT[i] += a
i += i&(-i)
def bit_sum(i):
res = 0
while i > 0:
res += BIT[i]
i -= i&(-i)
return res
S = sorted([(r-l+1, l, r) for l, r in LR], reverse=True)
cnt = n
L = []
for i in range(1, m+1):
while S and S[-1][0] == i:
c, l, r = S.pop()
cnt -= 1
add(l, 1)
add(r+1, -1)
res = cnt
for j in range(0, m+1, i):
res += bit_sum(j)
L.append(res)
print(*L, sep="\n")
if __name__ == "__main__":
main()
``` | instruction | 0 | 57,876 | 16 | 115,752 |
Yes | output | 1 | 57,876 | 16 | 115,753 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,698 | 16 | 117,396 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
for i in range(1, n):
a[0] ^= a[i]
if a[0] == 0:
print("Yes")
else:
print("No")
``` | output | 1 | 58,698 | 16 | 117,397 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,699 | 16 | 117,398 |
"Correct Solution:
```
def main():
N = int(input())
A = [int(_) for _ in input().split()]
xor = 0
for a in A:
xor ^= a
print('No' if xor else 'Yes')
return
if __name__ == '__main__':
main()
``` | output | 1 | 58,699 | 16 | 117,399 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,700 | 16 | 117,400 |
"Correct Solution:
```
from functools import reduce as f;input();print("YNeos"[f(lambda x,y:x^y,map(int,input().split()))>0::2])
``` | output | 1 | 58,700 | 16 | 117,401 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,701 | 16 | 117,402 |
"Correct Solution:
```
n = int(input())
a_s = [int(v) for v in input().split()]
total = 0;
for a in a_s:
total ^= a
if total == 0:
print('Yes')
else:
print('No')
``` | output | 1 | 58,701 | 16 | 117,403 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,702 | 16 | 117,404 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
temp = 0
for a in A:
temp = temp ^ a
if 0 == temp:
print('Yes')
else:
print('No')
``` | output | 1 | 58,702 | 16 | 117,405 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,703 | 16 | 117,406 |
"Correct Solution:
```
N = int(input())
l = list(map(int,input().split()))
b = 0
for a in l:
b ^= a
print("Yes" if b == 0 else "No")
``` | output | 1 | 58,703 | 16 | 117,407 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,704 | 16 | 117,408 |
"Correct Solution:
```
n=int(input())
l=list(map(int,input().split()))
x=0
for i in l:
x=x^i
if(x==0):
print("Yes")
else:
print("No")
``` | output | 1 | 58,704 | 16 | 117,409 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No | instruction | 0 | 58,705 | 16 | 117,410 |
"Correct Solution:
```
n=int(input())
a=[int(i) for i in input().split()]
a.sort()
ans=a[0]
for i in range(1,n):
ans=ans^a[i]
if ans==0:
print("Yes")
else:
print("No")
``` | output | 1 | 58,705 | 16 | 117,411 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
N = int(input())
a = list(map(int, input().split()))
bit = 0
for i in range(N):
bit = bit ^ a[i]
if bit != 0:
print("No")
else:
print("Yes")
``` | instruction | 0 | 58,706 | 16 | 117,412 |
Yes | output | 1 | 58,706 | 16 | 117,413 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
from functools import*;_,a=open(0);print('YNeos'[reduce(lambda x,y:x^y,map(int,a.split()))>0::2])
``` | instruction | 0 | 58,707 | 16 | 117,414 |
Yes | output | 1 | 58,707 | 16 | 117,415 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
n = int(input())
l = list(map(int, input().split()))
a = l[0]
for i in l[1:]:
a ^= i
if a == 0:
print("Yes")
else:
print("No")
``` | instruction | 0 | 58,708 | 16 | 117,416 |
Yes | output | 1 | 58,708 | 16 | 117,417 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
n = int(input())
a = tuple(map(int, input().split()))
t = a[0]
for i in range(1, n):
t = t ^ a[i]
print('Yes' if t == 0 else 'No')
``` | instruction | 0 | 58,709 | 16 | 117,418 |
Yes | output | 1 | 58,709 | 16 | 117,419 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
N = int(input())
A = list(map(int, input().split()))
for i in range(N-2):
if not A[i+1] == (A[i] ^ A[i+2]):
k = 0
print('No')
break
k = 1
if k == 1:
print('Yes')
``` | instruction | 0 | 58,710 | 16 | 117,420 |
No | output | 1 | 58,710 | 16 | 117,421 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
n = int(input())
l = list(map(int,input().split()))
j = 0
u = []
v = [0]*3
for i in l:
if not i in u :
u.append(i)
else:
v[u.index(i)] += 1
if len(u) > 3:
break
#print(u,v)
if ((n%3 == 0) and (u[0] ^ u[2] == u[1]) and (v[0] == v[1] and v[1] == v[2]) and not len(u) > 3):
j = 1
if j == 1 :
print("Yes")
else :
print("No")
#print(l[0] ^ l[2] == l[1],n == 3)
"""01
10
11
01
10
11
01
00
01
01
00
01
"""
``` | instruction | 0 | 58,711 | 16 | 117,422 |
No | output | 1 | 58,711 | 16 | 117,423 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
import math
N = int(input())
a = list(map(int, input().split(" ")))
def XOR(x):
n = x.bit_length()
count = 0
while n > 0:
count = count + x // int(math.pow(2,n-1))
if x // int(math.pow(2,n-1)) == 1:
x = x - int(math.pow(2,n-1))
n = n - 1
return count % 2
c_odd = 0
c_eve = 0
for i in range(N):
if XOR(a[i])==1:
c_odd = c_odd + 1
else:
c_eve = c_eve + 1
if N % 2 == 1:
if c_odd == c_eve + 1 or c_odd == 0:
print('Yes')
else:
print('No')
else:
if c_odd == c_eve or c_odd == 0:
print('Yes')
else:
print('No')
``` | instruction | 0 | 58,712 | 16 | 117,424 |
No | output | 1 | 58,712 | 16 | 117,425 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has N hats. The i-th hat has an integer a_i written on it.
There are N camels standing in a circle. Snuke will put one of his hats on each of these camels.
If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print `Yes`; otherwise, print `No`.
* The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.
What is XOR? The bitwise XOR x_1 \oplus x_2 \oplus \ldots \oplus x_n of n non-negative integers x_1, x_2, \ldots, x_n is defined as follows: - When x_1 \oplus x_2 \oplus \ldots \oplus x_n is written in base two, the digit in the 2^k's place (k \geq 0) is 1 if the number of integers among x_1, x_2, \ldots, x_n whose binary representations have 1 in the 2^k's place is odd, and 0 if that count is even. For example, 3 \oplus 5 = 6.
Constraints
* All values in input are integers.
* 3 \leq N \leq 10^{5}
* 0 \leq a_i \leq 10^{9}
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 \ldots a_{N}
Output
Print the answer.
Examples
Input
3
1 2 3
Output
Yes
Input
4
1 2 4 8
Output
No
Submitted Solution:
```
a=int(input())
b=list(map(int, input().split()))
c=list(set(b))
if len(c)!=3:
print("No")
else:
d=[0 for i in range(3)]
for i in range(len(c)):
e=c[i]
d[i]=b.count(e)
if d[0]==d[1]and d[0]==d[2]:
print("Yes")
else:
print("No")
``` | instruction | 0 | 58,713 | 16 | 117,426 |
No | output | 1 | 58,713 | 16 | 117,427 |
Provide a correct Python 3 solution for this coding contest problem.
We have N lamps numbered 1 to N, and N buttons numbered 1 to N. Initially, Lamp 1, 2, \cdots, A are on, and the other lamps are off.
Snuke and Ringo will play the following game.
* First, Ringo generates a permutation (p_1,p_2,\cdots,p_N) of (1,2,\cdots,N). The permutation is chosen from all N! possible permutations with equal probability, without being informed to Snuke.
* Then, Snuke does the following operation any number of times he likes:
* Choose a lamp that is on at the moment. (The operation cannot be done if there is no such lamp.) Let Lamp i be the chosen lamp. Press Button i, which switches the state of Lamp p_i. That is, Lamp p_i will be turned off if it is on, and vice versa.
At every moment, Snuke knows which lamps are on. Snuke wins if all the lamps are on, and he will surrender when it turns out that he cannot win. What is the probability of winning when Snuke plays optimally?
Let w be the probability of winning. Then, w \times N! will be an integer. Compute w \times N! modulo (10^9+7).
Constraints
* 2 \leq N \leq 10^7
* 1 \leq A \leq \min(N-1,5000)
Input
Input is given from Standard Input in the following format:
N A
Output
Print w \times N! modulo (10^9+7), where w is the probability of Snuke's winning.
Examples
Input
3 1
Output
2
Input
3 2
Output
3
Input
8 4
Output
16776
Input
9999999 4999
Output
90395416 | instruction | 0 | 59,431 | 16 | 118,862 |
"Correct Solution:
```
def prepare(n, MOD):
factorials = [1] * (n + 1)
for i in range(2, n + 1):
factorials[i] = factorials[i - 1] * i % MOD
finvs = [1] * (n + 1)
finvs[n] = pow(factorials[n], MOD - 2, MOD)
for i in range(n, 1, -1):
finvs[i - 1] = finvs[i] * i % MOD
return factorials, finvs
def solve(n, a):
MOD = 10 ** 9 + 7
facts, finvs = prepare(n, MOD)
invs = [facts[i - 1] * finvs[i] % MOD for i in range(n + 1)] # invs[0]: undefined
r = n - a
ans = 0
# a個がいずれも自己ループを持たないパターン
for l in range(a):
tmp1 = facts[a] * finvs[l] % MOD * finvs[a - l] % MOD
tmp2 = facts[n - l - 1] * (a - l) % MOD
ans = (ans + (-1) ** (l & 1) * tmp1 * tmp2) % MOD
# a個中k+1個目ではじめて自己ループを持つが、それまでのk個で全点灯できるパターン
for k in range(1, a):
for l in range(k):
tmp1 = facts[k] * finvs[l] % MOD * finvs[k - l] % MOD
tmp2 = facts[n - l - 1] * (k - l) % MOD * invs[r + k - l] % MOD
ans = (ans + (-1) ** (l & 1) * tmp1 * tmp2) % MOD
return ans
n, a = map(int, input().split())
print(solve(n, a))
``` | output | 1 | 59,431 | 16 | 118,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We have N lamps numbered 1 to N, and N buttons numbered 1 to N. Initially, Lamp 1, 2, \cdots, A are on, and the other lamps are off.
Snuke and Ringo will play the following game.
* First, Ringo generates a permutation (p_1,p_2,\cdots,p_N) of (1,2,\cdots,N). The permutation is chosen from all N! possible permutations with equal probability, without being informed to Snuke.
* Then, Snuke does the following operation any number of times he likes:
* Choose a lamp that is on at the moment. (The operation cannot be done if there is no such lamp.) Let Lamp i be the chosen lamp. Press Button i, which switches the state of Lamp p_i. That is, Lamp p_i will be turned off if it is on, and vice versa.
At every moment, Snuke knows which lamps are on. Snuke wins if all the lamps are on, and he will surrender when it turns out that he cannot win. What is the probability of winning when Snuke plays optimally?
Let w be the probability of winning. Then, w \times N! will be an integer. Compute w \times N! modulo (10^9+7).
Constraints
* 2 \leq N \leq 10^7
* 1 \leq A \leq \min(N-1,5000)
Input
Input is given from Standard Input in the following format:
N A
Output
Print w \times N! modulo (10^9+7), where w is the probability of Snuke's winning.
Examples
Input
3 1
Output
2
Input
3 2
Output
3
Input
8 4
Output
16776
Input
9999999 4999
Output
90395416
Submitted Solution:
```
#さようなら
n,a=map(int,input().split())
b=n-a
mod=10**9+7
f=[1]
for i in range(n):f+=[f[-1]*(i+1)%mod]
def comb(a,b):return f[a]*pow(f[b],mod-2,mod)*pow(f[a-b],mod-2,mod)%mod
ans=0
for k in range(1,min(a,b)+1):
x=comb(b,k)*f[k]
y=comb(a,a-k)*f[k]
z=comb(a,k)*f[k]
yz=y*z
t=a-k
inv=pow(a,mod-2,mod)
s=0
for l in range(1,t+1):
s=(s+comb(a,l)*l*inv)%mod
yz=(yz-s)%mod
w=pow(k,b-k,mod)*f[k]
ans=(ans+w*x*yz)%mod
print(ans)
``` | instruction | 0 | 59,432 | 16 | 118,864 |
No | output | 1 | 59,432 | 16 | 118,865 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES | instruction | 0 | 60,501 | 16 | 121,002 |
"Correct Solution:
```
import sys
stdin = sys.stdin
sys.setrecursionlimit(10 ** 7)
def li(): return map(int, stdin.readline().split())
def li_(): return map(lambda x: int(x) - 1, stdin.readline().split())
def lf(): return map(float, stdin.readline().split())
def ls(): return stdin.readline().split()
def ns(): return stdin.readline().rstrip()
def lc(): return list(ns())
def ni(): return int(stdin.readline())
def nf(): return float(stdin.readline())
s = ns()
acnt = s.count('a')
bcnt = s.count('b')
ccnt = s.count('c')
print("YES" if max(acnt, bcnt, ccnt) - min(acnt, bcnt, ccnt) <= 1 else "NO")
``` | output | 1 | 60,501 | 16 | 121,003 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES
Submitted Solution:
```
s=input()
a=s.count('a')
b=s.count('b')
c=s.count('c')
ans='YES'
if len(s)>2 and a*b*c==0:ans='NO'
if max(a,b,c)>min(a,b,c)+1:ans='NO'
print(ans)
``` | instruction | 0 | 60,504 | 16 | 121,008 |
Yes | output | 1 | 60,504 | 16 | 121,009 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES
Submitted Solution:
```
import sys
import heapq
from operator import itemgetter
from collections import deque, defaultdict, Counter
from bisect import bisect_left, bisect_right
input = sys.stdin.readline
sys.setrecursionlimit(10 ** 7)
MOD = 10**9 + 7
def sol():
S = input().strip()
cnt = Counter(S)
A = cnt['a']
B = cnt['b']
C = cnt['c']
if abs(A - B) <= 1 and abs(B - C) <= 1 and abs(C - A) <= 1:
print('YES')
else:
print('NO')
sol()
``` | instruction | 0 | 60,506 | 16 | 121,012 |
Yes | output | 1 | 60,506 | 16 | 121,013 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has a string S consisting of three kinds of letters: `a`, `b` and `c`.
He has a phobia for palindromes, and wants to permute the characters in S so that S will not contain a palindrome of length 2 or more as a substring. Determine whether this is possible.
Constraints
* 1 \leq |S| \leq 10^5
* S consists of `a`, `b` and `c`.
Input
Input is given from Standard Input in the following format:
S
Output
If the objective is achievable, print `YES`; if it is unachievable, print `NO`.
Examples
Input
abac
Output
YES
Input
aba
Output
NO
Input
babacccabab
Output
YES
Submitted Solution:
```
from collections import Counter
S = input()
C = Counter(S)
for n in C.values():
if n > len(S) // 2:
print("No")
break
else:
print("Yes")
``` | instruction | 0 | 60,510 | 16 | 121,020 |
No | output | 1 | 60,510 | 16 | 121,021 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,299 | 16 | 122,598 |
"Correct Solution:
```
r,g,b,n=map(int,input().split())
cnt=0
for i in range(n//r+1):
for j in range(n//g+1):
if (n-i*r-j*g)%b==0 and n-i*r-j*g>=0:
cnt+=1
print(cnt)
``` | output | 1 | 61,299 | 16 | 122,599 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,300 | 16 | 122,600 |
"Correct Solution:
```
R,G,B,N =map(int,input().split())
ans=0
for r in range(N//R +1):
for g in range(N//G +1):
n = N-r*R-g*G
if n>=0:
if n%B==0:
ans+=1
print(ans)
``` | output | 1 | 61,300 | 16 | 122,601 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,301 | 16 | 122,602 |
"Correct Solution:
```
r,g,b,n =map(int,input().split())
ans = 0
for i in range((n//r)+1):
for l in range(((n-i*r)//g)+1):
if (n-i*r-l*g)%b == 0:
ans += 1
print(ans)
``` | output | 1 | 61,301 | 16 | 122,603 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,302 | 16 | 122,604 |
"Correct Solution:
```
R, G, B, N = map(int, input().split())
ans = 0
for r in range(0, N+1, R):
for g in range(0, N-r+1, G):
if (N - r - g) % B == 0:
ans += 1
print(ans)
``` | output | 1 | 61,302 | 16 | 122,605 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,303 | 16 | 122,606 |
"Correct Solution:
```
r,g,b,n=[int(i) for i in input().split(" ")]
res = 0
for i in range(0,n+1,r):
for j in range(i,n+1,g):
if (n-j) % b == 0:
res += 1
print(res)
``` | output | 1 | 61,303 | 16 | 122,607 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,304 | 16 | 122,608 |
"Correct Solution:
```
R,G,B,N=map(int,input().split())
ans=0
for i in range(N//R+1):
for j in range((N-i*R)//G+1):
k=N-i*R-j*G
if k%B==0 and k>=0:
ans+=1
print(ans)
``` | output | 1 | 61,304 | 16 | 122,609 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,305 | 16 | 122,610 |
"Correct Solution:
```
R,G,B,N=map(int,input().split())
ans=0
for r in range(0,N+1,R):
for g in range(0,N+1,G):
if r+g>N: break
b=N-r-g
if b%B==0:
ans+=1
print(ans)
``` | output | 1 | 61,305 | 16 | 122,611 |
Provide a correct Python 3 solution for this coding contest problem.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058 | instruction | 0 | 61,306 | 16 | 122,612 |
"Correct Solution:
```
R,G,B,N=map(int,input().split())
dp=[0]*(N+1)
dp[0]=1
for C in (R,G,B):
for i in range(len(dp)-C):
dp[i+C]=dp[i]+dp[i+C]
print(dp[N])
``` | output | 1 | 61,306 | 16 | 122,613 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
R,G,B,N = map(int,input().split())
ans = 0
for r in range(N//R +1):
for g in range((N-R * r)//G +1):
if (N -R * r -G * g) % B == 0:
ans += 1
print(ans)
``` | instruction | 0 | 61,307 | 16 | 122,614 |
Yes | output | 1 | 61,307 | 16 | 122,615 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
R,G,B,N = map(int,input().split())
ans = 0
for b in range(N+1):
for g in range(N+1):
if N-B*b-G*g >= 0 and (N-B*b-G*g)%R == 0:
ans += 1
print(ans)
``` | instruction | 0 | 61,308 | 16 | 122,616 |
Yes | output | 1 | 61,308 | 16 | 122,617 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Snuke has come to a store that sells boxes containing balls. The store sells the following three kinds of boxes:
* Red boxes, each containing R red balls
* Green boxes, each containing G green balls
* Blue boxes, each containing B blue balls
Snuke wants to get a total of exactly N balls by buying r red boxes, g green boxes and b blue boxes. How many triples of non-negative integers (r,g,b) achieve this?
Constraints
* All values in input are integers.
* 1 \leq R,G,B,N \leq 3000
Input
Input is given from Standard Input in the following format:
R G B N
Output
Print the answer.
Examples
Input
1 2 3 4
Output
4
Input
13 1 4 3000
Output
87058
Submitted Solution:
```
R,G,B,N = map(int,input().split())
ans = 0
for i in range(0,N//R+1):
for j in range(0,N//G+1):
k = N - i*R -j*G
if k%B == 0 and k>= 0:
ans += 1
print(ans)
``` | instruction | 0 | 61,309 | 16 | 122,618 |
Yes | output | 1 | 61,309 | 16 | 122,619 |
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