message stringlengths 2 20.2k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 757 108k | cluster float64 4 4 | __index_level_0__ int64 1.51k 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.
The vacation consists of N days. For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:
* A: Swim in the sea. Gain a_i points of happiness.
* B: Catch bugs in the mountains. Gain b_i points of happiness.
* C: Do homework at home. Gain c_i points of happiness.
As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.
Find the maximum possible total points of happiness that Taro gains.
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq a_i, b_i, c_i \leq 10^4
Input
Input is given from Standard Input in the following format:
N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N
Output
Print the maximum possible total points of happiness that Taro gains.
Examples
Input
3
10 40 70
20 50 80
30 60 90
Output
210
Input
1
100 10 1
Output
100
Input
7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1
Output
46
Submitted Solution:
```
n=int(input())
l=[[int(i) for i in input().split()] for _ in range(n)]
a,b,c=0,0,0
for x in range(n):
pa,pb,pc=l[x]
a,b,c=pa+max(b,c),pb+max(a,c),pc+max(b,a)
print(max(a,b,c))
``` | instruction | 0 | 41,886 | 4 | 83,772 |
Yes | output | 1 | 41,886 | 4 | 83,773 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.
The vacation consists of N days. For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:
* A: Swim in the sea. Gain a_i points of happiness.
* B: Catch bugs in the mountains. Gain b_i points of happiness.
* C: Do homework at home. Gain c_i points of happiness.
As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.
Find the maximum possible total points of happiness that Taro gains.
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq a_i, b_i, c_i \leq 10^4
Input
Input is given from Standard Input in the following format:
N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N
Output
Print the maximum possible total points of happiness that Taro gains.
Examples
Input
3
10 40 70
20 50 80
30 60 90
Output
210
Input
1
100 10 1
Output
100
Input
7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1
Output
46
Submitted Solution:
```
n=int(input())
abc=[list(map(int,input().split())) for i in range(n)]
dp=[[0,0,0] for _ in range(n+1)]
for i in range(n):
for a in range(3):
for b in range(3):
if a!=b:
dp[i+1][a]=max(dp[i][b]+abc[i][a],dp[i+1][a])
print(max(dp[n]))
``` | instruction | 0 | 41,887 | 4 | 83,774 |
Yes | output | 1 | 41,887 | 4 | 83,775 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.
The vacation consists of N days. For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:
* A: Swim in the sea. Gain a_i points of happiness.
* B: Catch bugs in the mountains. Gain b_i points of happiness.
* C: Do homework at home. Gain c_i points of happiness.
As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.
Find the maximum possible total points of happiness that Taro gains.
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq a_i, b_i, c_i \leq 10^4
Input
Input is given from Standard Input in the following format:
N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N
Output
Print the maximum possible total points of happiness that Taro gains.
Examples
Input
3
10 40 70
20 50 80
30 60 90
Output
210
Input
1
100 10 1
Output
100
Input
7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1
Output
46
Submitted Solution:
```
n = int(input())
abc = [list(map(int, input().split())) for _ in range(n)]
a = abc[0][0]
b = abc[0][1]
c = abc[0][2]
for i in range(1, n):
a, b, c = abc[i][0]+max(b, c), abc[i][1]+max(c, a), abc[i][2]+max(a, b)
print(max(a, b, c))
``` | instruction | 0 | 41,888 | 4 | 83,776 |
Yes | output | 1 | 41,888 | 4 | 83,777 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.
The vacation consists of N days. For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:
* A: Swim in the sea. Gain a_i points of happiness.
* B: Catch bugs in the mountains. Gain b_i points of happiness.
* C: Do homework at home. Gain c_i points of happiness.
As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.
Find the maximum possible total points of happiness that Taro gains.
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq a_i, b_i, c_i \leq 10^4
Input
Input is given from Standard Input in the following format:
N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N
Output
Print the maximum possible total points of happiness that Taro gains.
Examples
Input
3
10 40 70
20 50 80
30 60 90
Output
210
Input
1
100 10 1
Output
100
Input
7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1
Output
46
Submitted Solution:
```
N = int(input())
A, B, C = [], [], []
for _ in range(N):
a, b, c = map(int, input().split())
A.append(a)
B.append(b)
C.append(c)
def helper(idx, happy, last):
if idx >= N:
return happy
if last == 'a':
return max(helper(idx+1, happy+B[idx], 'b'), helper(idx+1, happy+C[idx], 'c'))
elif last == 'b':
return max(helper(idx+1, happy+A[idx], 'a'), helper(idx+1, happy+C[idx], 'c'))
else:
return max(helper(idx+1, happy+A[idx], 'a'), helper(idx+1, happy+B[idx], 'b'))
happy_a = helper(1, A[0], 'a')
happy_b = helper(1, B[0], 'b')
happy_c = helper(1, C[0], 'c')
print(max(happy_a, happy_b, happy_c))
``` | instruction | 0 | 41,889 | 4 | 83,778 |
No | output | 1 | 41,889 | 4 | 83,779 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.
The vacation consists of N days. For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:
* A: Swim in the sea. Gain a_i points of happiness.
* B: Catch bugs in the mountains. Gain b_i points of happiness.
* C: Do homework at home. Gain c_i points of happiness.
As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.
Find the maximum possible total points of happiness that Taro gains.
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq a_i, b_i, c_i \leq 10^4
Input
Input is given from Standard Input in the following format:
N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N
Output
Print the maximum possible total points of happiness that Taro gains.
Examples
Input
3
10 40 70
20 50 80
30 60 90
Output
210
Input
1
100 10 1
Output
100
Input
7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1
Output
46
Submitted Solution:
```
N = int(input())
abc = []
for _ in range(N):
x = tuple(map(int, input().split()))
abc.append(x)
dp = [[0 for _ in range(3)] for _ in range(N)]
dp[0][0] = abc[0][0]
dp[0][1] = abc[0][1]
dp[0][2] = abc[0][2]
for i in range(1, N):
dp[i][0] = max(dp[i][0], dp[i-1][1] + abc[i][0], dp[i-1][2] + abc[i][0])
dp[i][1] = max(dp[i][1], dp[i-1][0] + abc[i][1], dp[i-1][1] + abc[i][1])
dp[i][2] = max(dp[i][2], dp[i-1][0] + abc[i][2], dp[i-1][1] + abc[i][2])
# print(*dp, sep='\n')
print(max(dp[N-1]))
``` | instruction | 0 | 41,890 | 4 | 83,780 |
No | output | 1 | 41,890 | 4 | 83,781 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.
The vacation consists of N days. For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:
* A: Swim in the sea. Gain a_i points of happiness.
* B: Catch bugs in the mountains. Gain b_i points of happiness.
* C: Do homework at home. Gain c_i points of happiness.
As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.
Find the maximum possible total points of happiness that Taro gains.
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq a_i, b_i, c_i \leq 10^4
Input
Input is given from Standard Input in the following format:
N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N
Output
Print the maximum possible total points of happiness that Taro gains.
Examples
Input
3
10 40 70
20 50 80
30 60 90
Output
210
Input
1
100 10 1
Output
100
Input
7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1
Output
46
Submitted Solution:
```
class Data:
def __init__(self,n):
self.n = n
self.abc = []
self.sum = 0
self.history = [-1]*n
self.ava = [[1,2],[0,2],[0,1]]
def change_his(self,i):
a = self.abc[i-1][self.history[i]] + max(self.abc[i][self.ava[self.history[i]][0]],self.abc[i][self.ava[self.history[i]][1]])
b = max(self.abc[i-1][self.ava[self.history[i]][0]],self.abc[i-1][self.ava[self.history[i]][1]]) + self.abc[i][self.history[i]]
if a>b:
self.history[i] = self.abc[i].index( max(self.abc[i][self.ava[self.history[i]][0]],self.abc[i][self.ava[self.history[i]][1]]))
elif a==b:
self.history[i] = self.abc[i].index( max(self.abc[i][self.ava[self.history[i]][0]],self.abc[i][self.ava[self.history[i]][1]]))
else:
self.history[i-1] = self.abc[i].index(max(self.abc[i-1][self.ava[self.history[i]][0]],self.abc[i-1][self.ava[self.history[i]][1]]))
if(self.history[i-1]==self.history[i-2]):
self.change_his(i-1)
return
def input_abc(self):
for i in range(self.n):
self.abc.append(list(map(int,input().split())))
def init(self):
#print(self.abc)
self.history[0] = self.abc[0].index(max(self.abc[0]))
def count(self):
for i in range(self.n):
self.sum += self.abc[i][self.history[i]]
def main():
n = int(input())
data = Data(n)
data.input_abc()
data.init()
for i in range(1,n):
data.history[i] = data.abc[i].index(max(data.abc[i]))
if(data.history[i-1] == data.history[i]):
data.change_his(i)
data.count()
print(data.sum)
if __name__ == "__main__":
main()
``` | instruction | 0 | 41,891 | 4 | 83,782 |
No | output | 1 | 41,891 | 4 | 83,783 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Taro's summer vacation starts tomorrow, and he has decided to make plans for it now.
The vacation consists of N days. For each i (1 \leq i \leq N), Taro will choose one of the following activities and do it on the i-th day:
* A: Swim in the sea. Gain a_i points of happiness.
* B: Catch bugs in the mountains. Gain b_i points of happiness.
* C: Do homework at home. Gain c_i points of happiness.
As Taro gets bored easily, he cannot do the same activities for two or more consecutive days.
Find the maximum possible total points of happiness that Taro gains.
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq a_i, b_i, c_i \leq 10^4
Input
Input is given from Standard Input in the following format:
N
a_1 b_1 c_1
a_2 b_2 c_2
:
a_N b_N c_N
Output
Print the maximum possible total points of happiness that Taro gains.
Examples
Input
3
10 40 70
20 50 80
30 60 90
Output
210
Input
1
100 10 1
Output
100
Input
7
6 7 8
8 8 3
2 5 2
7 8 6
4 6 8
2 3 4
7 5 1
Output
46
Submitted Solution:
```
N = int(input())
dp = [[0] * 3 for _ in range(N)]
a, b, c = map(int, input().split())
dp[0][0], dp[0][1], dp[0][2] = a, b, c
for i in range(1, N):
a, b, c = map(int, input().split())
dp[i][0] = max(dp[i - 1][1], dp[i - 1][2]) + a
dp[i][1] = max(dp[i - 1][0], dp[i - 1][2]) + b
dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]) + c
print(max(dp[N - 1][0], dp[N - 1][1], dp[N - 1][2]))
``` | instruction | 0 | 41,892 | 4 | 83,784 |
No | output | 1 | 41,892 | 4 | 83,785 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 41,995 | 4 | 83,990 |
"Correct Solution:
```
def f(h,r):
ret = r+h
if ret != 0:
ret //= abs(ret)
return ret
def main():
h,r = map(int,input().split())
print(f(h,r))
if __name__ == '__main__':
main()
``` | output | 1 | 41,995 | 4 | 83,991 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 41,996 | 4 | 83,992 |
"Correct Solution:
```
h, r = map(int, input().split())
if h >= r or h >= 0: print(1)
else: print(0 if h + r == 0 else -1)
``` | output | 1 | 41,996 | 4 | 83,993 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 41,997 | 4 | 83,994 |
"Correct Solution:
```
H,R = map(int,input().split())
if H>=0:
print(1)
elif H<0:
if H+R>0:
print(1)
elif H+R==0:
print(0)
else:
print(-1)
``` | output | 1 | 41,997 | 4 | 83,995 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 41,998 | 4 | 83,996 |
"Correct Solution:
```
h, r = map(int, input().split())
if h + r == 0:
print(0)
elif h + r > 0:
print(1)
else:
print(-1)
``` | output | 1 | 41,998 | 4 | 83,997 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 41,999 | 4 | 83,998 |
"Correct Solution:
```
H, R = map(int, input().split())
if H*(-1) == R: print(0)
elif H*(-1) > R: print(-1)
elif H*(-1) < R: print(1)
``` | output | 1 | 41,999 | 4 | 83,999 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 42,000 | 4 | 84,000 |
"Correct Solution:
```
h,r=map(int, input().split())
if h+r>0:
print(1)
elif h+r==0:
print(0)
else:
print(-1)
``` | output | 1 | 42,000 | 4 | 84,001 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 42,001 | 4 | 84,002 |
"Correct Solution:
```
#標準入力
i = sum(list(map(int,input().split())))
#2数の合計が0なら0負の数なら-1正の数なら1を出力する
if i == 0:print("0")
elif i > 0:print("1")
else:print("-1")
``` | output | 1 | 42,001 | 4 | 84,003 |
Provide a correct Python 3 solution for this coding contest problem.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1 | instruction | 0 | 42,002 | 4 | 84,004 |
"Correct Solution:
```
H, R = map(int, input().split())
if H + R > 0 :
print(1)
elif H + R == 0 :
print(0)
else :
print(-1)
``` | output | 1 | 42,002 | 4 | 84,005 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
h,r=map(int,input().split())
if h<0:
print(-1 if h+r<0 else 0 if h+r==0 else 1)
else:
print(1)
``` | instruction | 0 | 42,003 | 4 | 84,006 |
Yes | output | 1 | 42,003 | 4 | 84,007 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
h, r = list(map(int, input().split()))
print(int((h+r>0)-(h+r<0)))
``` | instruction | 0 | 42,004 | 4 | 84,008 |
Yes | output | 1 | 42,004 | 4 | 84,009 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
h, r = map(int, input().split())
if h + r < 0:print(-1)
else:print(0 if h + r == 0 else 1)
``` | instruction | 0 | 42,005 | 4 | 84,010 |
Yes | output | 1 | 42,005 | 4 | 84,011 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
h,r=map(int,input().split())
if h>=0:
print(1)
elif h+r==0:
print(0)
else:
print(-1)
``` | instruction | 0 | 42,006 | 4 | 84,012 |
Yes | output | 1 | 42,006 | 4 | 84,013 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
h, r = map(int, input().split())
if h + r < 0:print(-1)
else:print(0 if h == r else 1)
``` | instruction | 0 | 42,007 | 4 | 84,014 |
No | output | 1 | 42,007 | 4 | 84,015 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
E,Y = map(int,input().split())
if E ==0:
if 1911>Y:
print("M"+str(Y-1867))
elif 1925>Y:
print("T"+str(Y-1911))
elif 1988>Y:
print("S"+str(Y-1925))
else:
print("H"+str(Y-1988))
elif E==1:
print(1868+Y)
elif E==2:
print(1912+Y)
elif E==3:
print(1926+Y)
else:
print(1989+Y)
``` | instruction | 0 | 42,008 | 4 | 84,016 |
No | output | 1 | 42,008 | 4 | 84,017 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
H,R = map(int,input().split())
if H-R >0:
print(1)
elif abs(H)-R ==0:
if H>0:
print(1)
else:
print(0)
else:
print(-1)
``` | instruction | 0 | 42,009 | 4 | 84,018 |
No | output | 1 | 42,009 | 4 | 84,019 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The appearance of the sun is called "sunrise" and the hiding is called "sunset". What is the exact time when the sun is on the horizon?
As shown in the figure below, we will represent the sun as a circle and the horizon as a straight line. At this time, the time of "sunrise" and "sunset" of the sun is the moment when the upper end of the circle representing the sun coincides with the straight line representing the horizon. After sunrise, the daytime is when the top of the circle is above the straight line, and nighttime is when the circle is completely hidden below the straight line.
<image>
Create a program that inputs the height from the horizon to the center of the sun at a certain time and the radius of the sun, and outputs whether the time is "daytime", "sunrise or sunset", or "nighttime".
Input
The input is given in the following format.
H R
The input consists of one line and is given the integer H (-1000 ≤ H ≤ 1000), which represents the height from the horizon at a certain time to the center of the sun, and the integer R (1 ≤ R ≤ 1000), which represents the radius. However, H is 0 when the center of the sun is on the horizon, positive when it is above it, and negative when it is below it.
Output
Outputs "1" in the daytime, "0" in the sunrise or sunset, and "-1" in the nighttime on one line.
Examples
Input
-3 3
Output
0
Input
3 3
Output
1
Input
-4 3
Output
-1
Submitted Solution:
```
h, r = list(map(int, input().split()))
print(int((h+r)/abs(h+r)))
``` | instruction | 0 | 42,010 | 4 | 84,020 |
No | output | 1 | 42,010 | 4 | 84,021 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,059 | 4 | 84,118 |
"Correct Solution:
```
while 1:
n,l,r=map(int, input().split())
if n==0:
break
a = []
for i in range(n):
a.append(int(input()))
c = 0
for j in range(l, r+1):
for i in range(n):
if j%a[i]==0:
if i%2==1:
break
else:
c += 1
break
if i==n-1 and n%2==0:
c += 1
print(c)
``` | output | 1 | 42,059 | 4 | 84,119 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,060 | 4 | 84,120 |
"Correct Solution:
```
# AOJ 2882: Generalized Leap Years
# Python3 2018.7.10 bal4u
while True:
n, l, r = map(int, input().split())
if n == 0: break
A = [int(input()) for i in range(n)][::-1]
y = [0]*(r+1)
v = 2 - (n&1) # v = 1 if n is odd
for a in A:
for i in range(a, r+1, a): y[i] = v
v = 3-v
ans = k = 0
for i in range(l, r+1):
if y[i] == 0: k += 1
elif y[i] == 1: ans += 1
if n & 1 == 0: ans += k
print(ans)
``` | output | 1 | 42,060 | 4 | 84,121 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,061 | 4 | 84,122 |
"Correct Solution:
```
import math
for i in range(50):
n,l,r=map(int,input().split())
if n==0 and l==0 and r==0:
break
else:
a=[]
for ii in range(n):
a.append(int(input()))
ans=0
for k in range(l,r+1):
for s in range(math.ceil(n/2)):
if k%a[2*s]==0:
ans+=1
break
elif 2*s+1==n :
break
elif k%a[2*s+1]==0:
break
elif s==math.ceil(n/2)-1 and n%2==0:
ans+=1
break
else:
continue
print(ans)
``` | output | 1 | 42,061 | 4 | 84,123 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,062 | 4 | 84,124 |
"Correct Solution:
```
while True:
n, r, l = map(int, input().split())
if n == 0:
break
else:
a = []
for i in range(n):
a.append(int(input()))
a.append(1)
count = 0
for i in range(r, l + 1):
for j in range(n + 1):
if i % a[j] == 0:
if j % 2 == 0:
count += 1
break
print(count)
``` | output | 1 | 42,062 | 4 | 84,125 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,063 | 4 | 84,126 |
"Correct Solution:
```
while True:
n, l, r = map(int, input().split())
if n == 0 and l == 0 and r == 0:
break
else:
a = [0 for i in range(n)]
for i in range(n):
aa = int(input())
a[i] = aa
cnt = 0
for x in range(l, r + 1):
flag = False
for i in range(n):
if x % a[i] == 0:
flag = True
break
if (i+1) % 2 == 1 and flag == True:
cnt += 1
elif flag == False:
if n % 2 == 0:
cnt += 1
print(cnt)
``` | output | 1 | 42,063 | 4 | 84,127 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,064 | 4 | 84,128 |
"Correct Solution:
```
while True:
n, l, r = map(int, input().split())
if n == 0: break
A = [int(input()) for i in range(n)][::-1]
y = [0]*(r+1)
v = 2 - (n&1) # v = 1 if n is odd
for a in A:
for i in range(a, r+1, a): y[i] = v
v = 3-v
ans = k = 0
for i in range(l, r+1):
if y[i] == 0: k += 1
elif y[i] == 1: ans += 1
if n & 1 == 0: ans += k
print(ans)
``` | output | 1 | 42,064 | 4 | 84,129 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,065 | 4 | 84,130 |
"Correct Solution:
```
while True:
n, l, r = map(int, input().split())
if n == 0:
break
a = []
for i in range(n):
a.append(int(input()))
a.append(1)
cnt = 0
for i in range(l, r+1):
for j in range(n+1):
if i % a[j] == 0:
if j % 2 == 0:
cnt += 1
break
print(cnt)
``` | output | 1 | 42,065 | 4 | 84,131 |
Provide a correct Python 3 solution for this coding contest problem.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785 | instruction | 0 | 42,066 | 4 | 84,132 |
"Correct Solution:
```
while 1:
n, l, r = map(int, input().split())
if n == 0:
break
data = []
for _ in range(n):
data.append(int(input()))
cnt = 0
for i in range(l, r+1):
for j, d in enumerate(data):
if i % d == 0:
if j % 2 == 0:
cnt += 1
break
else:
if n % 2 == 0:
cnt += 1
print(cnt)
``` | output | 1 | 42,066 | 4 | 84,133 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785
Submitted Solution:
```
ans_list = []
while True:
n,l,r = map(int,input().split())
if (n,l,r) == (0,0,0):
break
A = [int(input()) for _ in range(n)]
cnt = 0
for x in range(l,r+1):
for i,a in enumerate(A,1):
if x % a == 0:
if i % 2 == 1:
cnt += 1
break
if i == n:
if n % 2 == 0:
cnt += 1
ans_list.append(cnt)
for ans in ans_list:
print(ans)
``` | instruction | 0 | 42,067 | 4 | 84,134 |
Yes | output | 1 | 42,067 | 4 | 84,135 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785
Submitted Solution:
```
while 1:
n, l, r = map(int, input().split())
if n == 0: break
a = []
for i in range(n):
a.append(int(input()))
gusu = False
if len(a) % 2 == 0: gusu = True
count = 0
for x in range(l, r + 1):
for i in range(len(a)):
comp = a[i]
if x % comp == 0:
if i % 2 == 0:
count += 1
break
else: break
else:
if gusu: count += 1
print(count)
``` | instruction | 0 | 42,068 | 4 | 84,136 |
Yes | output | 1 | 42,068 | 4 | 84,137 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785
Submitted Solution:
```
"一般化うるう年"
while True:
n, l, r = map(int, input().split()) # 数列の要素の個数はn個, lからrまでのxを試す
if n == 0:
break
A = [int(input()) for _ in range(n)]
ans = 0
for x in range(l, r+1):
flag = True
for i in range(n):
if x%A[i] == 0 and (i+1)%2 == 1:
ans += 1
flag = False
break
elif x%A[i] == 0 and (i+1)%2 == 0:
flag = False
break
if flag:
if n%2 == 0:
ans += 1
print(ans)
``` | instruction | 0 | 42,069 | 4 | 84,138 |
Yes | output | 1 | 42,069 | 4 | 84,139 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785
Submitted Solution:
```
while True:
n,l,r = map(int,input().split())
ans = 0
if n == 0 and l == 0 and r == 0:
break
A = []
for i in range(n):
a = int(input())
A.append(a)
for x in range(r-l+1):
x += l
#print (x)
for i in range(len(A)):
flag = True
if x % A[i] == 0:
if i % 2 == 0:
ans += 1
# print (x,"は",A[i],i)
#print (x,"はだめ",A[i],i)
flag = False
break
if flag and len(A) % 2 == 0:
#print (x , "x")
ans += 1
print (ans)
``` | instruction | 0 | 42,070 | 4 | 84,140 |
Yes | output | 1 | 42,070 | 4 | 84,141 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785
Submitted Solution:
```
a = list(map(int,input().split()))
b = []
su = 0
s = 0
for i in range(a[0]):
b.append(int(input()))
for i in range(a[1],a[2]+1):
for j in range(a[0]):
if a % b[j] == 0:
su += 1
if(j % 2 == 0):
s += 1
break
if su == 0:
if a[0] % 2 == 0:
s += 1
su = 0
print(s)
``` | instruction | 0 | 42,071 | 4 | 84,142 |
No | output | 1 | 42,071 | 4 | 84,143 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Generalized leap year
Normally, whether or not the year x is a leap year is defined as follows.
1. If x is a multiple of 400, it is a leap year.
2. Otherwise, if x is a multiple of 100, it is not a leap year.
3. Otherwise, if x is a multiple of 4, it is a leap year.
4. If not, it is not a leap year.
This can be generalized as follows. For a sequence A1, ..., An, we define whether the year x is a "generalized leap year" as follows.
1. For the smallest i (1 ≤ i ≤ n) such that x is a multiple of Ai, if i is odd, it is a generalized leap year, and if it is even, it is not a generalized leap year.
2. When such i does not exist, it is not a generalized leap year if n is odd, but a generalized leap year if n is even.
For example, when A = [400, 100, 4], the generalized leap year for A is equivalent to a normal leap year.
Given the sequence A1, ..., An and the positive integers l, r. Answer the number of positive integers x such that l ≤ x ≤ r such that year x is a generalized leap year for A.
Input
The input consists of up to 50 datasets. Each dataset is represented in the following format.
> n l r A1 A2 ... An
The integer n satisfies 1 ≤ n ≤ 50. The integers l and r satisfy 1 ≤ l ≤ r ≤ 4000. For each i, the integer Ai satisfies 1 ≤ Ai ≤ 4000.
The end of the input is represented by a line of three zeros.
Output
Print the answer in one line for each dataset.
Sample Input
3 1988 2014
400
100
Four
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
Five
7
11
9
3
13
0 0 0
Output for the Sample Input
7
1000
2223
785
Example
Input
3 1988 2014
400
100
4
1 1000 1999
1
2 1111 3333
2
2
6 2000 3000
5
7
11
9
3
13
0 0 0
Output
7
1000
2223
785
Submitted Solution:
```
a = list(map(int,input().split()))
b = [0]*a[0]
su = 0
s = 0
while sum(a) != 0:
b = [0] * a[0]
for i in range(a[0]):
b[i] = int(input())
for i in range(a[1],a[2]+1):
for j in range(a[0]):
if i % b[j] == 0:
if j % 2 == 0:
s += 1
su += 1
break
if s == 0:
if a[0] % 2 == 0:
su += 1
s = 0
print(su)
su = 0
a = list(map(int,input().split()))
``` | instruction | 0 | 42,072 | 4 | 84,144 |
No | output | 1 | 42,072 | 4 | 84,145 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last n days. Thus, he got a sequence of numbers t1, t2, ..., tn, where the i-th number is the temperature on the i-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer k (1 ≤ k ≤ n - 1) such that t1 < 0, t2 < 0, ..., tk < 0 and tk + 1 > 0, tk + 2 > 0, ..., tn > 0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that.
Input
The first line contains a single integer n (2 ≤ n ≤ 105) — the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of n integers t1, t2, ..., tn (|ti| ≤ 109) — the sequence of temperature values. Numbers ti are separated by single spaces.
Output
Print a single integer — the answer to the given task.
Examples
Input
4
-1 1 -2 1
Output
1
Input
5
0 -1 1 2 -5
Output
2
Note
Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number. | instruction | 0 | 42,370 | 4 | 84,740 |
Tags: dp, implementation
Correct Solution:
```
'''
Auther: ghoshashis545 Ashis Ghosh
College: jalpaiguri Govt Enggineerin College
Date:07/06/2020
'''
from os import path
import sys
from functools import cmp_to_key as ctk
from collections import deque,defaultdict as dd
from bisect import bisect,bisect_left,bisect_right,insort,insort_left,insort_right
from itertools import permutations
from datetime import datetime
from math import ceil,sqrt,log,gcd
def ii():return int(input())
def si():return input()
def mi():return map(int,input().split())
def li():return list(mi())
abc='abcdefghijklmnopqrstuvwxyz'
abd={'a': 0, 'b': 1, 'c': 2, 'd': 3, 'e': 4, 'f': 5, 'g': 6, 'h': 7, 'i': 8, 'j': 9, 'k': 10, 'l': 11, 'm': 12, 'n': 13, 'o': 14, 'p': 15, 'q': 16, 'r': 17, 's': 18, 't': 19, 'u': 20, 'v': 21, 'w': 22, 'x': 23, 'y': 24, 'z': 25}
mod=1000000007
#mod=998244353
inf = float("inf")
vow=['a','e','i','o','u']
dx,dy=[-1,1,0,0],[0,0,1,-1]
def solve():
n=ii()
a=li()
pos=[0]*n
neg=[0]*n
if a[0]>0:
pos[0]=1
if a[0]<0:
neg[0]=1
for i in range(1,n):
pos[i]=pos[i-1]
neg[i]=neg[i-1]
if a[i]>0:
pos[i]+=1
if a[i]<0:
neg[i]+=1
# print(pos)
# print(neg)
ans=n
count0=a.count(0)
for i in range(1,n-1):
ans=min(ans,pos[i-1]+neg[n-1]-neg[i])
# print(ans,i)
print(ans+count0)
if __name__ =="__main__":
if path.exists('input.txt'):
sys.stdin=open('input.txt', 'r')
sys.stdout=open('output.txt','w')
else:
input=sys.stdin.readline
solve()
``` | output | 1 | 42,370 | 4 | 84,741 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last n days. Thus, he got a sequence of numbers t1, t2, ..., tn, where the i-th number is the temperature on the i-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer k (1 ≤ k ≤ n - 1) such that t1 < 0, t2 < 0, ..., tk < 0 and tk + 1 > 0, tk + 2 > 0, ..., tn > 0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that.
Input
The first line contains a single integer n (2 ≤ n ≤ 105) — the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of n integers t1, t2, ..., tn (|ti| ≤ 109) — the sequence of temperature values. Numbers ti are separated by single spaces.
Output
Print a single integer — the answer to the given task.
Examples
Input
4
-1 1 -2 1
Output
1
Input
5
0 -1 1 2 -5
Output
2
Note
Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number. | instruction | 0 | 42,371 | 4 | 84,742 |
Tags: dp, implementation
Correct Solution:
```
import sys
import os.path
if os.path.exists('input.txt'):
sys.stdin = open('input.txt','r')
sys.stdout = open('output.txt','w')
n=int(input())
l=list(map(int,input().split()))
neg=[0]*(n)
pos=[0]*(n)
if l[0]>=0:
pos[0]=1
for i in range(1,n):
if l[i]>=0:
pos[i]=pos[i-1]+1
else:
pos[i]=pos[i-1]
if l[-1]<=0:
neg[-1]=1
for i in range(n-2,-1,-1):
if l[i]<=0:
neg[i]=neg[i+1]+1
else:
neg[i]=neg[i+1]
ans=float("inf")
#print(pos)
#print(neg)
for i in range(n-1):
ans=min(ans,pos[i]+neg[i+1])
print(ans)
``` | output | 1 | 42,371 | 4 | 84,743 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last n days. Thus, he got a sequence of numbers t1, t2, ..., tn, where the i-th number is the temperature on the i-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer k (1 ≤ k ≤ n - 1) such that t1 < 0, t2 < 0, ..., tk < 0 and tk + 1 > 0, tk + 2 > 0, ..., tn > 0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that.
Input
The first line contains a single integer n (2 ≤ n ≤ 105) — the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of n integers t1, t2, ..., tn (|ti| ≤ 109) — the sequence of temperature values. Numbers ti are separated by single spaces.
Output
Print a single integer — the answer to the given task.
Examples
Input
4
-1 1 -2 1
Output
1
Input
5
0 -1 1 2 -5
Output
2
Note
Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number. | instruction | 0 | 42,372 | 4 | 84,744 |
Tags: dp, implementation
Correct Solution:
```
# aadiupadhyay
import sys
from collections import *
import os.path
mod = 1000000007
INF = float('inf')
def st(): return list(sys.stdin.readline().strip())
def li(): return list(map(int, sys.stdin.readline().split()))
def mp(): return map(int, sys.stdin.readline().split())
def inp(): return int(sys.stdin.readline())
def pr(n): return sys.stdout.write(str(n)+"\n")
def prl(n): return sys.stdout.write(str(n)+" ")
if os.path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def solve():
n = inp()
l = li()
pref_pos = [0 for i in range(n)]
suf_neg = [0 for i in range(n)]
a, b = INF, -INF
for i in range(n):
if l[i] >= 0:
if i == 0:
pref_pos[i] = 1
else:
pref_pos[i] = 1+pref_pos[i-1]
else:
if i != 0:
pref_pos[i] += pref_pos[i-1]
if l[n-i-1] <= 0:
if i == 0:
suf_neg[n-i-1] = 1
else:
suf_neg[n-1-i] = 1+suf_neg[n-i]
else:
if i != 0:
suf_neg[n-i-1] += suf_neg[n-i]
a = min(a, l[i])
b = max(b, l[i])
if (a > 0 and b > 0) or (a < 0 and b < 0):
pr(1)
return
ans = INF
# print(pref_pos)
# print(suf_neg)
for i in range(n-1):
ans = min(ans, pref_pos[i]+suf_neg[i+1])
pr(ans)
solve()
``` | output | 1 | 42,372 | 4 | 84,745 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last n days. Thus, he got a sequence of numbers t1, t2, ..., tn, where the i-th number is the temperature on the i-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer k (1 ≤ k ≤ n - 1) such that t1 < 0, t2 < 0, ..., tk < 0 and tk + 1 > 0, tk + 2 > 0, ..., tn > 0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that.
Input
The first line contains a single integer n (2 ≤ n ≤ 105) — the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of n integers t1, t2, ..., tn (|ti| ≤ 109) — the sequence of temperature values. Numbers ti are separated by single spaces.
Output
Print a single integer — the answer to the given task.
Examples
Input
4
-1 1 -2 1
Output
1
Input
5
0 -1 1 2 -5
Output
2
Note
Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number.
Submitted Solution:
```
f = open("input.txt", "r")
fContent = f.readlines()
#print(fContent)
f.close()
n = int(fContent[0])
temperatures = list(map(int, fContent[1].split()))
zeros = 0
pos = 0
neg = 0
for x in temperatures:
if (x < 0):
neg+=1
elif (x > 0):
pos+=1
else:
zeros += 1
changes = 9999
leftPos = 0
leftNeg = 0
for x in temperatures:
if (x < 0):
leftNeg += 1
elif (x > 0):
leftPos += 1
changes = min(changes, leftPos + zeros + (neg - leftNeg))
outF = open("output.txt", "w+")
outF.write(str(changes))
outF.close()
``` | instruction | 0 | 42,373 | 4 | 84,746 |
No | output | 1 | 42,373 | 4 | 84,747 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last n days. Thus, he got a sequence of numbers t1, t2, ..., tn, where the i-th number is the temperature on the i-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer k (1 ≤ k ≤ n - 1) such that t1 < 0, t2 < 0, ..., tk < 0 and tk + 1 > 0, tk + 2 > 0, ..., tn > 0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that.
Input
The first line contains a single integer n (2 ≤ n ≤ 105) — the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of n integers t1, t2, ..., tn (|ti| ≤ 109) — the sequence of temperature values. Numbers ti are separated by single spaces.
Output
Print a single integer — the answer to the given task.
Examples
Input
4
-1 1 -2 1
Output
1
Input
5
0 -1 1 2 -5
Output
2
Note
Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number.
Submitted Solution:
```
fin = open("input.txt", "r")
fout = open("output.txt", "w")
n = int(fin.readline())
a = [int(i) for i in fin.readline().split()]
plus = [0] * (n + 1)
minus = [0] * (n + 1)
zero = [0] * (n + 1)
for i in range(n):
if a[i] < 0:
plus[i + 1] = plus[i]
minus[i + 1] = minus[i] + 1
zero[i + 1] = zero[i]
elif a[i] > 0:
plus[i + 1] = plus[i] + 1
minus[i + 1] = minus[i]
zero[i + 1] = zero[i]
else:
plus[i + 1] = plus[i]
minus[i + 1] = minus[i] + 1
zero[i + 1] = zero[i] + 1
best = float("inf")
for i in range(n - 1):
x = plus[i + 1] + minus[-1] - minus[i + 1] + zero[-1]
best = min(best, x)
print(best, file=fout)
fin.close()
fout.close()
``` | instruction | 0 | 42,374 | 4 | 84,748 |
No | output | 1 | 42,374 | 4 | 84,749 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last n days. Thus, he got a sequence of numbers t1, t2, ..., tn, where the i-th number is the temperature on the i-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer k (1 ≤ k ≤ n - 1) such that t1 < 0, t2 < 0, ..., tk < 0 and tk + 1 > 0, tk + 2 > 0, ..., tn > 0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that.
Input
The first line contains a single integer n (2 ≤ n ≤ 105) — the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of n integers t1, t2, ..., tn (|ti| ≤ 109) — the sequence of temperature values. Numbers ti are separated by single spaces.
Output
Print a single integer — the answer to the given task.
Examples
Input
4
-1 1 -2 1
Output
1
Input
5
0 -1 1 2 -5
Output
2
Note
Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number.
Submitted Solution:
```
from collections import Counter
import string
import math
import sys
def array_int():
return [int(i) for i in sys.stdin.readline().split()]
def vary(number_of_variables):
if number_of_variables==1:
return int(sys.stdin.readline())
if number_of_variables>=2:
return map(int,sys.stdin.readline().split())
def makedict(var):
return dict(Counter(var))
mod=100000007
sys.stdin=open('input.txt','r')
sys.stdout=open('output.txt','w')
n=vary(1)
num=[-1]+array_int()
pos=[0 for i in range(n+1)]
neg=[0 for i in range(n+1)]
for i in range(1,n+1):
if num[i]>0:
pos[i]=pos[i-1]+1
neg[i]=neg[i-1]
elif num[i]<0:
neg[i]=neg[i-1]+1
pos[i]=pos[i-1]
else:
pos[i]=pos[i-1]
neg[i]=neg[i-1]
# print(pos,neg)
maxi=float('inf')
for i in range(1,n+1):
maxi=min(maxi,n-neg[i]-pos[n]+pos[i])
print(maxi)
``` | instruction | 0 | 42,375 | 4 | 84,750 |
No | output | 1 | 42,375 | 4 | 84,751 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last n days. Thus, he got a sequence of numbers t1, t2, ..., tn, where the i-th number is the temperature on the i-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer k (1 ≤ k ≤ n - 1) such that t1 < 0, t2 < 0, ..., tk < 0 and tk + 1 > 0, tk + 2 > 0, ..., tn > 0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that.
Input
The first line contains a single integer n (2 ≤ n ≤ 105) — the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of n integers t1, t2, ..., tn (|ti| ≤ 109) — the sequence of temperature values. Numbers ti are separated by single spaces.
Output
Print a single integer — the answer to the given task.
Examples
Input
4
-1 1 -2 1
Output
1
Input
5
0 -1 1 2 -5
Output
2
Note
Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number.
Submitted Solution:
```
with open('input.txt', 'r') as f:
n = int(f.readline())
temp = [int(t) for t in f.readline().split()]
count_pos_left = []
n_pos_left = 0
for i in range(0, n):
count_pos_left.append(n_pos_left)
if temp[i] >= 0:
n_pos_left += 1
count_neg_right = []
n_neg_right = 0
for i in range(n-1, -1, -1):
count_neg_right.append(n_neg_right)
if temp[i] <= 0:
n_neg_right += 1
count_neg_right.reverse()
ans = n
for i in range(1, n-1):
ans = min(ans, count_pos_left[i] + count_neg_right[i] - (1 if temp[i]==0 else 0))
ans = min(ans, count_neg_right[0] + (1 if temp[0]>=0 else 0))
ans = min(ans, count_pos_left[n-1] + (1 if temp[0]<=0 else 0))
with open('output.txt', 'w') as f:
f.write(str(ans))
``` | instruction | 0 | 42,376 | 4 | 84,752 |
No | output | 1 | 42,376 | 4 | 84,753 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array a, where 0 < a_1 < a_2 < ... < a_{|a|} < M. All a_i must be integers. Of course, preinstalled program is a good program.
The lamp follows program a in next manner: at moment 0 turns power and light on. Then at moment a_i the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment 1 and then do nothing, the total time when the lamp is lit will be 1. Finally, at moment M the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program a, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of a, or even at the begining or at the end of a.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from x till moment y, then its lit for y - x units of time. Segments of time when the lamp is lit are summed up.
Input
First line contains two space separated integers n and M (1 ≤ n ≤ 10^5, 2 ≤ M ≤ 10^9) — the length of program a and the moment when power turns off.
Second line contains n space separated integers a_1, a_2, ..., a_n (0 < a_1 < a_2 < ... < a_n < M) — initially installed program a.
Output
Print the only integer — maximum possible total time when the lamp is lit.
Examples
Input
3 10
4 6 7
Output
8
Input
2 12
1 10
Output
9
Input
2 7
3 4
Output
6
Note
In the first example, one of possible optimal solutions is to insert value x = 3 before a_1, so program will be [3, 4, 6, 7] and time of lamp being lit equals (3 - 0) + (6 - 4) + (10 - 7) = 8. Other possible solution is to insert x = 5 in appropriate place.
In the second example, there is only one optimal solution: to insert x = 2 between a_1 and a_2. Program will become [1, 2, 10], and answer will be (1 - 0) + (10 - 2) = 9.
In the third example, optimal answer is to leave program untouched, so answer will be (3 - 0) + (7 - 4) = 6. | instruction | 0 | 42,896 | 4 | 85,792 |
Tags: greedy
Correct Solution:
```
f = 1 #switch
n, M = map(int, input().split())
a = [0] + [int(x) for x in input().split()] + [M]
b = [0]*(n+2)
for i in range(1,n+1):
b[i] = b[i-1] + f*(a[i]-a[i-1])
f ^= 1 #0->1 or 1->0
b[n+1] = b[n] + f*(M-a[n])
ans = b[n+1] #untouched
for i in range(1,n+2):
if (a[i]-a[i-1]>1):
if i&1:
ans = max(ans, b[i]+M-a[i]-(b[n+1]-b[i])-1)
else:
ans = max(ans, b[i]+a[i]-a[i-1]-1+M-a[i]-(b[n+1]-b[i]))
print(ans)
``` | output | 1 | 42,896 | 4 | 85,793 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array a, where 0 < a_1 < a_2 < ... < a_{|a|} < M. All a_i must be integers. Of course, preinstalled program is a good program.
The lamp follows program a in next manner: at moment 0 turns power and light on. Then at moment a_i the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment 1 and then do nothing, the total time when the lamp is lit will be 1. Finally, at moment M the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program a, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of a, or even at the begining or at the end of a.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from x till moment y, then its lit for y - x units of time. Segments of time when the lamp is lit are summed up.
Input
First line contains two space separated integers n and M (1 ≤ n ≤ 10^5, 2 ≤ M ≤ 10^9) — the length of program a and the moment when power turns off.
Second line contains n space separated integers a_1, a_2, ..., a_n (0 < a_1 < a_2 < ... < a_n < M) — initially installed program a.
Output
Print the only integer — maximum possible total time when the lamp is lit.
Examples
Input
3 10
4 6 7
Output
8
Input
2 12
1 10
Output
9
Input
2 7
3 4
Output
6
Note
In the first example, one of possible optimal solutions is to insert value x = 3 before a_1, so program will be [3, 4, 6, 7] and time of lamp being lit equals (3 - 0) + (6 - 4) + (10 - 7) = 8. Other possible solution is to insert x = 5 in appropriate place.
In the second example, there is only one optimal solution: to insert x = 2 between a_1 and a_2. Program will become [1, 2, 10], and answer will be (1 - 0) + (10 - 2) = 9.
In the third example, optimal answer is to leave program untouched, so answer will be (3 - 0) + (7 - 4) = 6. | instruction | 0 | 42,897 | 4 | 85,794 |
Tags: greedy
Correct Solution:
```
from itertools import*
R=lambda:map(int,input().split())
n,m=R()
a=[0,*R()]+[m]*(n%2+1)
d=[*map(lambda x,y:x-y,a[1:],a)]
print(sum(d[::2])+max(0,max(accumulate(d[i-1]-d[i]for i
in range(n+n%2,0,-2)))-1))
``` | output | 1 | 42,897 | 4 | 85,795 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array a, where 0 < a_1 < a_2 < ... < a_{|a|} < M. All a_i must be integers. Of course, preinstalled program is a good program.
The lamp follows program a in next manner: at moment 0 turns power and light on. Then at moment a_i the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment 1 and then do nothing, the total time when the lamp is lit will be 1. Finally, at moment M the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program a, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of a, or even at the begining or at the end of a.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from x till moment y, then its lit for y - x units of time. Segments of time when the lamp is lit are summed up.
Input
First line contains two space separated integers n and M (1 ≤ n ≤ 10^5, 2 ≤ M ≤ 10^9) — the length of program a and the moment when power turns off.
Second line contains n space separated integers a_1, a_2, ..., a_n (0 < a_1 < a_2 < ... < a_n < M) — initially installed program a.
Output
Print the only integer — maximum possible total time when the lamp is lit.
Examples
Input
3 10
4 6 7
Output
8
Input
2 12
1 10
Output
9
Input
2 7
3 4
Output
6
Note
In the first example, one of possible optimal solutions is to insert value x = 3 before a_1, so program will be [3, 4, 6, 7] and time of lamp being lit equals (3 - 0) + (6 - 4) + (10 - 7) = 8. Other possible solution is to insert x = 5 in appropriate place.
In the second example, there is only one optimal solution: to insert x = 2 between a_1 and a_2. Program will become [1, 2, 10], and answer will be (1 - 0) + (10 - 2) = 9.
In the third example, optimal answer is to leave program untouched, so answer will be (3 - 0) + (7 - 4) = 6. | instruction | 0 | 42,898 | 4 | 85,796 |
Tags: greedy
Correct Solution:
```
_, M = input().split()
a = map(int, (input()+' '+M).split())
# Patch defines the start of ON or OFF area
# Since area starts with ON, patch is true
patch = True
max = 0
on_before = off_before = 0
previous = 0
for x in a:
if patch:
# If at the beginning of ON patch,
# use the total ONs and OFFs at end of patch
patch_len = x - previous
on_before += patch_len
if patch_len != 1:
d = on_before - off_before
if d > max:
max = d
else:
# If at the beginning of OFF patch or at the boundary of ON-OFF patch,
# use total ONs and OFFs at beginning of patch
patch_len = x - previous
if patch_len != 1:
d = on_before - off_before
if d > max:
max = d
off_before += patch_len
previous = x
patch = not patch
max += off_before - 1
if on_before > max:
max = on_before
print(max)
``` | output | 1 | 42,898 | 4 | 85,797 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array a, where 0 < a_1 < a_2 < ... < a_{|a|} < M. All a_i must be integers. Of course, preinstalled program is a good program.
The lamp follows program a in next manner: at moment 0 turns power and light on. Then at moment a_i the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment 1 and then do nothing, the total time when the lamp is lit will be 1. Finally, at moment M the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program a, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of a, or even at the begining or at the end of a.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from x till moment y, then its lit for y - x units of time. Segments of time when the lamp is lit are summed up.
Input
First line contains two space separated integers n and M (1 ≤ n ≤ 10^5, 2 ≤ M ≤ 10^9) — the length of program a and the moment when power turns off.
Second line contains n space separated integers a_1, a_2, ..., a_n (0 < a_1 < a_2 < ... < a_n < M) — initially installed program a.
Output
Print the only integer — maximum possible total time when the lamp is lit.
Examples
Input
3 10
4 6 7
Output
8
Input
2 12
1 10
Output
9
Input
2 7
3 4
Output
6
Note
In the first example, one of possible optimal solutions is to insert value x = 3 before a_1, so program will be [3, 4, 6, 7] and time of lamp being lit equals (3 - 0) + (6 - 4) + (10 - 7) = 8. Other possible solution is to insert x = 5 in appropriate place.
In the second example, there is only one optimal solution: to insert x = 2 between a_1 and a_2. Program will become [1, 2, 10], and answer will be (1 - 0) + (10 - 2) = 9.
In the third example, optimal answer is to leave program untouched, so answer will be (3 - 0) + (7 - 4) = 6. | instruction | 0 | 42,899 | 4 | 85,798 |
Tags: greedy
Correct Solution:
```
n,m=map(int,input().strip().split())
l=list(map(int,input().strip().split()))
l.insert(0,0)
l.append(m)
lc=[]
lo=[]
on=0
off=0
lo.append([0,0])
for i in range(1,n+2):
if (i%2==1):
on=on+l[i]-l[i-1]
else:
off=off+l[i]-l[i-1]
lo.append([on,off])
max1=on
lc.append([on,off])
for i in range(1,n+2):
if (i%2==1):
on=on-l[i]+l[i-1]
else:
off=off-l[i]+l[i-1]
lc.append([on,off])
for i in range(1,n+2):
if (i%1==0 and l[i]-l[i-1]>1):
tmp=lo[i-1][0]+l[i]-l[i-1]-1+lc[i][1]
if (tmp>max1):
max1=tmp
else:
continue
print (max1)
``` | output | 1 | 42,899 | 4 | 85,799 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array a, where 0 < a_1 < a_2 < ... < a_{|a|} < M. All a_i must be integers. Of course, preinstalled program is a good program.
The lamp follows program a in next manner: at moment 0 turns power and light on. Then at moment a_i the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment 1 and then do nothing, the total time when the lamp is lit will be 1. Finally, at moment M the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program a, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of a, or even at the begining or at the end of a.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from x till moment y, then its lit for y - x units of time. Segments of time when the lamp is lit are summed up.
Input
First line contains two space separated integers n and M (1 ≤ n ≤ 10^5, 2 ≤ M ≤ 10^9) — the length of program a and the moment when power turns off.
Second line contains n space separated integers a_1, a_2, ..., a_n (0 < a_1 < a_2 < ... < a_n < M) — initially installed program a.
Output
Print the only integer — maximum possible total time when the lamp is lit.
Examples
Input
3 10
4 6 7
Output
8
Input
2 12
1 10
Output
9
Input
2 7
3 4
Output
6
Note
In the first example, one of possible optimal solutions is to insert value x = 3 before a_1, so program will be [3, 4, 6, 7] and time of lamp being lit equals (3 - 0) + (6 - 4) + (10 - 7) = 8. Other possible solution is to insert x = 5 in appropriate place.
In the second example, there is only one optimal solution: to insert x = 2 between a_1 and a_2. Program will become [1, 2, 10], and answer will be (1 - 0) + (10 - 2) = 9.
In the third example, optimal answer is to leave program untouched, so answer will be (3 - 0) + (7 - 4) = 6. | instruction | 0 | 42,900 | 4 | 85,800 |
Tags: greedy
Correct Solution:
```
n, m = map(int, input().split())
tm = [int(i) for i in input().split()]
sum_d = 0
sum_l = 0
is_dark = n & 1
lst = m
tm.reverse()
tm.append(0)
Max = -1
for i in tm:
dis = lst - i
if is_dark:
sum_d += dis
else:
sum_l += dis
lst = i
if dis == 1:
is_dark ^= 1
continue
if is_dark:
# fake_d = sum_l + 1
fake_l = sum_d - 1
else:
# fake_d = sum_l - dis + 1
fake_l = sum_d + dis - 1
is_dark ^= 1
Max = max(Max, fake_l - sum_l)
ans = sum_l
if Max > 0:
ans += Max
print(ans)
# 奇数 暗(1)，偶数 亮
``` | output | 1 | 42,900 | 4 | 85,801 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment 0 and turn power off at moment M. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunately, some program is already installed into the lamp.
The lamp allows only good programs. Good program can be represented as a non-empty array a, where 0 < a_1 < a_2 < ... < a_{|a|} < M. All a_i must be integers. Of course, preinstalled program is a good program.
The lamp follows program a in next manner: at moment 0 turns power and light on. Then at moment a_i the lamp flips its state to opposite (if it was lit, it turns off, and vice versa). The state of the lamp flips instantly: for example, if you turn the light off at moment 1 and then do nothing, the total time when the lamp is lit will be 1. Finally, at moment M the lamp is turning its power off regardless of its state.
Since you are not among those people who read instructions, and you don't understand the language it's written in, you realize (after some testing) the only possible way to alter the preinstalled program. You can insert at most one element into the program a, so it still should be a good program after alteration. Insertion can be done between any pair of consecutive elements of a, or even at the begining or at the end of a.
Find such a way to alter the program that the total time when the lamp is lit is maximum possible. Maybe you should leave program untouched. If the lamp is lit from x till moment y, then its lit for y - x units of time. Segments of time when the lamp is lit are summed up.
Input
First line contains two space separated integers n and M (1 ≤ n ≤ 10^5, 2 ≤ M ≤ 10^9) — the length of program a and the moment when power turns off.
Second line contains n space separated integers a_1, a_2, ..., a_n (0 < a_1 < a_2 < ... < a_n < M) — initially installed program a.
Output
Print the only integer — maximum possible total time when the lamp is lit.
Examples
Input
3 10
4 6 7
Output
8
Input
2 12
1 10
Output
9
Input
2 7
3 4
Output
6
Note
In the first example, one of possible optimal solutions is to insert value x = 3 before a_1, so program will be [3, 4, 6, 7] and time of lamp being lit equals (3 - 0) + (6 - 4) + (10 - 7) = 8. Other possible solution is to insert x = 5 in appropriate place.
In the second example, there is only one optimal solution: to insert x = 2 between a_1 and a_2. Program will become [1, 2, 10], and answer will be (1 - 0) + (10 - 2) = 9.
In the third example, optimal answer is to leave program untouched, so answer will be (3 - 0) + (7 - 4) = 6. | instruction | 0 | 42,901 | 4 | 85,802 |
Tags: greedy
Correct Solution:
```
import copy
n, M = map(int, input().split())
s = list(map(int, input().split()))
lengths =[]
i1 = []
z1 = []
s.append(0)
s.append(M)
s.sort()
l = len(s)
length = 0
for n in range(1, l, 2):
length += s[n] -s[n - 1]
i1.append(s[n] -s[n - 1])
lengths.append(length)
x1 = [2 * i1.index(max(i1))]
if max(i1) > 1 and i1.count(max(i1)) != len(i1):
for ii in range(i1.count(max(i1)) - 1):
x = i1.index(max(i1), int(0.5 * x1[-1] + 1))
x1.append(2 * x)
x2 = set(x1)
z1.append(s[-2] + 1)
for x in x2:
for y in [-1, 1]:
z = s[x + y] + 1
z1.append(z)
z2 = set(z1) - set(s) -{M + 1}
for zz in z2:
ss = copy.deepcopy(s)
ss.append(zz)
ss.sort()
l = len(ss)
length = 0
for n in range(1, l, 2):
length += ss[n] - ss[n - 1]
lengths.append(length)
print(max(lengths))
``` | output | 1 | 42,901 | 4 | 85,803 |
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