message stringlengths 2 67k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 463 109k | cluster float64 19 19 | __index_level_0__ int64 926 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up.
We will perform the following operation once for each square contains a card:
* For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square.
It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations.
Constraints
* 1 \leq N,M \leq 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of cards that face down after all the operations.
Examples
Input
2 2
Output
0
Input
1 7
Output
5
Input
314 1592
Output
496080
Submitted Solution:
```
N,M=list(map(int, input().split()))
if N!=1 and M!=1:
print((N-2)*(M-2))
elif N==M==1:
print(1)
elif N==1 and M!=1:
print(M-2)
else:
print(N-2)
``` | instruction | 0 | 103,520 | 19 | 207,040 |
Yes | output | 1 | 103,520 | 19 | 207,041 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up.
We will perform the following operation once for each square contains a card:
* For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square.
It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations.
Constraints
* 1 \leq N,M \leq 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of cards that face down after all the operations.
Examples
Input
2 2
Output
0
Input
1 7
Output
5
Input
314 1592
Output
496080
Submitted Solution:
```
n,m=map(int,input().split())
a,b=min(n,m),max(n,m)
if a==b==1:print(1)
elif a==1:print(b-2)
else:print((a-2)*(b-2))
``` | instruction | 0 | 103,521 | 19 | 207,042 |
Yes | output | 1 | 103,521 | 19 | 207,043 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up.
We will perform the following operation once for each square contains a card:
* For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square.
It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations.
Constraints
* 1 \leq N,M \leq 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of cards that face down after all the operations.
Examples
Input
2 2
Output
0
Input
1 7
Output
5
Input
314 1592
Output
496080
Submitted Solution:
```
N,M=map(int,input().split())
if N==1:
if M==1:
print(1)
else:
print(M-2)
elif M==1:
print(N-2)
else:
print(N*M-2*max(0,N-1)-2*max(0,M-1))
``` | instruction | 0 | 103,522 | 19 | 207,044 |
Yes | output | 1 | 103,522 | 19 | 207,045 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up.
We will perform the following operation once for each square contains a card:
* For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square.
It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations.
Constraints
* 1 \leq N,M \leq 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of cards that face down after all the operations.
Examples
Input
2 2
Output
0
Input
1 7
Output
5
Input
314 1592
Output
496080
Submitted Solution:
```
H,W =[int(i) for i in input().split()]
if H*W=1:
print(1)
elif H==1 and W!=1:
print(max(0, W-2))
elif W==1 and H!=1:
print(max(0, H-2))
else:
print(max(H-2, 0)*max(W-2, 0))
``` | instruction | 0 | 103,523 | 19 | 207,046 |
No | output | 1 | 103,523 | 19 | 207,047 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up.
We will perform the following operation once for each square contains a card:
* For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square.
It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations.
Constraints
* 1 \leq N,M \leq 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of cards that face down after all the operations.
Examples
Input
2 2
Output
0
Input
1 7
Output
5
Input
314 1592
Output
496080
Submitted Solution:
```
h,w = map(int,input().split())
if (w < 3 and h < 3):
print(0)
else:
print(max(1,h-2)*max(1,w-2))
``` | instruction | 0 | 103,524 | 19 | 207,048 |
No | output | 1 | 103,524 | 19 | 207,049 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up.
We will perform the following operation once for each square contains a card:
* For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square.
It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations.
Constraints
* 1 \leq N,M \leq 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of cards that face down after all the operations.
Examples
Input
2 2
Output
0
Input
1 7
Output
5
Input
314 1592
Output
496080
Submitted Solution:
```
n, m = map(int, input().split())
if n == 1 and m == 1: ans = 1
elif n == 1 and m != 1: ans = m-2
else: ans = (n-2) * (m-2)
print(ans)
``` | instruction | 0 | 103,525 | 19 | 207,050 |
No | output | 1 | 103,525 | 19 | 207,051 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There is a grid with infinitely many rows and columns. In this grid, there is a rectangular region with consecutive N rows and M columns, and a card is placed in each square in this region. The front and back sides of these cards can be distinguished, and initially every card faces up.
We will perform the following operation once for each square contains a card:
* For each of the following nine squares, flip the card in it if it exists: the target square itself and the eight squares that shares a corner or a side with the target square.
It can be proved that, whether each card faces up or down after all the operations does not depend on the order the operations are performed. Find the number of cards that face down after all the operations.
Constraints
* 1 \leq N,M \leq 10^9
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Print the number of cards that face down after all the operations.
Examples
Input
2 2
Output
0
Input
1 7
Output
5
Input
314 1592
Output
496080
Submitted Solution:
```
N,M = map(int,input().split())
if min(N,M) == 1:
print(max(N,M)-2)
elif min(N,M) == 2:
print(0)
else:
print((N-2)*(M-2))
``` | instruction | 0 | 103,526 | 19 | 207,052 |
No | output | 1 | 103,526 | 19 | 207,053 |
Provide a correct Python 3 solution for this coding contest problem.
A: Union Ball
Problem Statement
There are N balls in a box. The i-th ball is labeled with a positive integer A_i.
You can interact with balls in the box by taking actions under the following rules:
* If integers on balls in the box are all odd or all even, you cannot take actions anymore.
* Otherwise, you select arbitrary two balls in the box and remove them from the box. Then, you generate a new ball labeled with the sum of the integers on the two balls and put it into the box.
For given balls, what is the maximum number of actions you can take under the above rules?
Input
N
A_1 A_2 ... A_N
* The first line gives an integer N representing the initial number of balls in a box.
* The second line contains N integers, the i-th of which is the integer on the i-th ball.
Constraints
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^9
* Inputs consist only of integers.
Output
Output the maximum number of actions you can take in one line.
Sample Input 1
3
4 5 6
Output for Sample Input 1
2
First, you select and remove balls labeled with 4 and 5, respectively, and add a ball labeled with 9. Next, you select and remove balls labeled with 6 and 9, respectively, and add a ball labeled with 15. Now, the balls in the box only have odd numbers. So you cannot take any actions anymore. The number of actions you took is two, and there is no way to achieve three actions or more. Thus the maximum is two and the series of the above actions is one of the optimal ways.
Sample Input 2
4
4 2 4 2
Output for Sample Input 2
0
You cannot take any actions in this case.
Example
Input
3
4 5 6
Output
2 | instruction | 0 | 103,644 | 19 | 207,288 |
"Correct Solution:
```
n = int(input())
arr = [int(x) for x in input().split()]
c0 = 0
c1 = 0
for i in range(n):
if arr[i] % 2 == 1:
c1 = c1 + 1
else:
c0 = c0 + 1
if c0 == 0 or c1 == 0:
print(0)
else:
if c1 % 2 == 0:
print(n-2)
else:
print(n-1)
``` | output | 1 | 103,644 | 19 | 207,289 |
Provide a correct Python 3 solution for this coding contest problem.
A: Union Ball
Problem Statement
There are N balls in a box. The i-th ball is labeled with a positive integer A_i.
You can interact with balls in the box by taking actions under the following rules:
* If integers on balls in the box are all odd or all even, you cannot take actions anymore.
* Otherwise, you select arbitrary two balls in the box and remove them from the box. Then, you generate a new ball labeled with the sum of the integers on the two balls and put it into the box.
For given balls, what is the maximum number of actions you can take under the above rules?
Input
N
A_1 A_2 ... A_N
* The first line gives an integer N representing the initial number of balls in a box.
* The second line contains N integers, the i-th of which is the integer on the i-th ball.
Constraints
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^9
* Inputs consist only of integers.
Output
Output the maximum number of actions you can take in one line.
Sample Input 1
3
4 5 6
Output for Sample Input 1
2
First, you select and remove balls labeled with 4 and 5, respectively, and add a ball labeled with 9. Next, you select and remove balls labeled with 6 and 9, respectively, and add a ball labeled with 15. Now, the balls in the box only have odd numbers. So you cannot take any actions anymore. The number of actions you took is two, and there is no way to achieve three actions or more. Thus the maximum is two and the series of the above actions is one of the optimal ways.
Sample Input 2
4
4 2 4 2
Output for Sample Input 2
0
You cannot take any actions in this case.
Example
Input
3
4 5 6
Output
2 | instruction | 0 | 103,645 | 19 | 207,290 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
p, q = 0, 0
for i in a:
if i % 2 == 0:
p += 1
else:
q += 1
if p == 0 or q == 0:
print(0)
exit()
res = p
if q % 2 == 0:
res += 2 * max(q // 2 - 1, 0)
else:
res += (q // 2) * 2
print(res)
``` | output | 1 | 103,645 | 19 | 207,291 |
Provide a correct Python 3 solution for this coding contest problem.
A: Union Ball
Problem Statement
There are N balls in a box. The i-th ball is labeled with a positive integer A_i.
You can interact with balls in the box by taking actions under the following rules:
* If integers on balls in the box are all odd or all even, you cannot take actions anymore.
* Otherwise, you select arbitrary two balls in the box and remove them from the box. Then, you generate a new ball labeled with the sum of the integers on the two balls and put it into the box.
For given balls, what is the maximum number of actions you can take under the above rules?
Input
N
A_1 A_2 ... A_N
* The first line gives an integer N representing the initial number of balls in a box.
* The second line contains N integers, the i-th of which is the integer on the i-th ball.
Constraints
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^9
* Inputs consist only of integers.
Output
Output the maximum number of actions you can take in one line.
Sample Input 1
3
4 5 6
Output for Sample Input 1
2
First, you select and remove balls labeled with 4 and 5, respectively, and add a ball labeled with 9. Next, you select and remove balls labeled with 6 and 9, respectively, and add a ball labeled with 15. Now, the balls in the box only have odd numbers. So you cannot take any actions anymore. The number of actions you took is two, and there is no way to achieve three actions or more. Thus the maximum is two and the series of the above actions is one of the optimal ways.
Sample Input 2
4
4 2 4 2
Output for Sample Input 2
0
You cannot take any actions in this case.
Example
Input
3
4 5 6
Output
2 | instruction | 0 | 103,646 | 19 | 207,292 |
"Correct Solution:
```
n=int(input())
*a,=map(int,input().split())
o=e=0
for i in a:
if i%2:
o+=1
else:
e+=1
if not o or not e:
print(0)
elif o%2:
print(n-1)
else:
print(n-2)
``` | output | 1 | 103,646 | 19 | 207,293 |
Provide a correct Python 3 solution for this coding contest problem.
A: Union Ball
Problem Statement
There are N balls in a box. The i-th ball is labeled with a positive integer A_i.
You can interact with balls in the box by taking actions under the following rules:
* If integers on balls in the box are all odd or all even, you cannot take actions anymore.
* Otherwise, you select arbitrary two balls in the box and remove them from the box. Then, you generate a new ball labeled with the sum of the integers on the two balls and put it into the box.
For given balls, what is the maximum number of actions you can take under the above rules?
Input
N
A_1 A_2 ... A_N
* The first line gives an integer N representing the initial number of balls in a box.
* The second line contains N integers, the i-th of which is the integer on the i-th ball.
Constraints
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^9
* Inputs consist only of integers.
Output
Output the maximum number of actions you can take in one line.
Sample Input 1
3
4 5 6
Output for Sample Input 1
2
First, you select and remove balls labeled with 4 and 5, respectively, and add a ball labeled with 9. Next, you select and remove balls labeled with 6 and 9, respectively, and add a ball labeled with 15. Now, the balls in the box only have odd numbers. So you cannot take any actions anymore. The number of actions you took is two, and there is no way to achieve three actions or more. Thus the maximum is two and the series of the above actions is one of the optimal ways.
Sample Input 2
4
4 2 4 2
Output for Sample Input 2
0
You cannot take any actions in this case.
Example
Input
3
4 5 6
Output
2 | instruction | 0 | 103,647 | 19 | 207,294 |
"Correct Solution:
```
N = int(input())
A = list(map(int, input().split()))
even = 0
odd = 0
for a in A:
if a % 2 == 0:
even += 1
else:
odd += 1
if even == 0 or odd == 0:
print(0)
elif odd % 2 == 1:
print(N - 1)
else:
print(N - 2)
``` | output | 1 | 103,647 | 19 | 207,295 |
Provide a correct Python 3 solution for this coding contest problem.
A: Union Ball
Problem Statement
There are N balls in a box. The i-th ball is labeled with a positive integer A_i.
You can interact with balls in the box by taking actions under the following rules:
* If integers on balls in the box are all odd or all even, you cannot take actions anymore.
* Otherwise, you select arbitrary two balls in the box and remove them from the box. Then, you generate a new ball labeled with the sum of the integers on the two balls and put it into the box.
For given balls, what is the maximum number of actions you can take under the above rules?
Input
N
A_1 A_2 ... A_N
* The first line gives an integer N representing the initial number of balls in a box.
* The second line contains N integers, the i-th of which is the integer on the i-th ball.
Constraints
* 1 \leq N \leq 2 \times 10^5
* 1 \leq A_i \leq 10^9
* Inputs consist only of integers.
Output
Output the maximum number of actions you can take in one line.
Sample Input 1
3
4 5 6
Output for Sample Input 1
2
First, you select and remove balls labeled with 4 and 5, respectively, and add a ball labeled with 9. Next, you select and remove balls labeled with 6 and 9, respectively, and add a ball labeled with 15. Now, the balls in the box only have odd numbers. So you cannot take any actions anymore. The number of actions you took is two, and there is no way to achieve three actions or more. Thus the maximum is two and the series of the above actions is one of the optimal ways.
Sample Input 2
4
4 2 4 2
Output for Sample Input 2
0
You cannot take any actions in this case.
Example
Input
3
4 5 6
Output
2 | instruction | 0 | 103,648 | 19 | 207,296 |
"Correct Solution:
```
#!usr/bin/env python3
from collections import defaultdict,deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS():return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == "\n":
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
#A
def A():
n = I()
a = LI()
s = sum([i%2 for i in a])
if s in (0,n):
print(0)
else:
print(n-2+(s%2))
return
#B
def B():
n = I()
return
#C
def C():
n = I()
return
#D
def D():
n = I()
return
#E
def E():
n = I()
return
#F
def F():
n = I()
return
#G
def G():
n = I()
return
#H
def H():
n = I()
return
#I
def I_():
n = I()
return
#J
def J():
n = I()
return
#Solve
if __name__ == "__main__":
A()
``` | output | 1 | 103,648 | 19 | 207,297 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,341 | 19 | 208,682 |
"Correct Solution:
```
n = int(input())
for i in range(n):
hit_cou = 0
out_cou = 0
poi = 0
while True:
eve = input()
if eve == "HIT":
if hit_cou == 3:
poi += 1
else:
hit_cou += 1
elif eve == "OUT":
if out_cou == 2:
print(poi)
break
else:
out_cou += 1
elif eve == "HOMERUN":
poi += hit_cou + 1
hit_cou = 0
``` | output | 1 | 104,341 | 19 | 208,683 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,342 | 19 | 208,684 |
"Correct Solution:
```
n = int(input())
for i in range(n):
out_count = 0
score = 0
runner = []
while True:
if out_count == 3:
print(score)
break
events = input()
if events == "HIT":
if len(runner) == 3:
score += 1
else:
runner.append(1)
elif events == "HOMERUN":
score += len(runner) + 1
runner = []
elif events == "OUT":
out_count += 1
``` | output | 1 | 104,342 | 19 | 208,685 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,343 | 19 | 208,686 |
"Correct Solution:
```
# Aizu Problem 0103: Baseball Simulation
#
import sys, math, os
# read input:
PYDEV = os.environ.get('PYDEV')
if PYDEV=="True":
sys.stdin = open("sample-input.txt", "rt")
N = int(input())
for n in range(N):
bases = [0, 0, 0]
outs = 0
score = 0
while outs < 3:
event = input().strip()
if event == "OUT":
outs += 1
elif event == "HOMERUN":
score += 1 + sum(bases)
bases = [0, 0, 0]
elif event == "HIT":
score += bases[2]
bases[1:] = bases[:2]
bases[0] = 1
print(score)
``` | output | 1 | 104,343 | 19 | 208,687 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,344 | 19 | 208,688 |
"Correct Solution:
```
# -*- coding: utf-8 -*-
"""
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0103&lang=jp
"""
import sys
class Baseball():
def __init__(self):
self.score = 0
self.out_count = 0
self.base = [0, 0, 0]
def event(self, e):
if e == 'HIT':
self.base.insert(0, 1)
home = self.base.pop()
if home:
self.score += 1
elif e == 'HOMERUN':
self.score += self.base.count(1)
self.score += 1
self.base = [0, 0, 0]
elif e == 'OUT':
self.out_count += 1
def main(args):
num = int(input().strip())
for _ in range(num):
b = Baseball()
while b.out_count < 3:
b.event(input().strip())
print(b.score)
if __name__ == '__main__':
main(sys.argv[1:])
``` | output | 1 | 104,344 | 19 | 208,689 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,345 | 19 | 208,690 |
"Correct Solution:
```
for Panzerlied in range(0,int(input())):
runners = 0
outs = 0
points = 0
while outs<3:
command=input()
if command == "HIT":
runners+=1
if runners > 3:
runners=3
points+=1
elif command == "HOMERUN":
points+=(runners+1)
runners=0
else: # command == "OUT"
outs+=1
print(points)
``` | output | 1 | 104,345 | 19 | 208,691 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,346 | 19 | 208,692 |
"Correct Solution:
```
n = int(input())
for i in range(n):
out_cnt = 0
score = 0
runner = [0,0,0,0]
while True:
event = input()
if event=="OUT":
out_cnt += 1
if out_cnt == 3:
break
elif event=="HIT":
if 1 in runner:
for ind in range(len(runner)-1,-1,-1):
if runner[ind] == 1:
if ind != 3:
runner[ind] = 0
runner[ind+1] = 1
if not 1 in runner[:ind]:
break
if runner[-1]==1:
runner[-1] = 0
score += 1
runner[0] = 1
else:
runner[0] = 1
elif event=="HOMERUN":
score += sum(runner)+1
runner = [0,0,0,0]
print(score)
``` | output | 1 | 104,346 | 19 | 208,693 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,347 | 19 | 208,694 |
"Correct Solution:
```
n = int(input())
cnt, hit, out = 0, 0, 0
while n != 0:
s = input()
if s == 'HIT':
hit += 1
if hit == 4:
cnt += 1
hit -= 1
elif s == 'HOMERUN':
cnt += hit + 1
hit = 0
else:
out += 1
if out == 3:
print(cnt)
cnt, hit, out = 0, 0, 0
n -= 1
``` | output | 1 | 104,347 | 19 | 208,695 |
Provide a correct Python 3 solution for this coding contest problem.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0 | instruction | 0 | 104,348 | 19 | 208,696 |
"Correct Solution:
```
for _ in[0]*int(input()):
r=o=s=0
while 1:
a=input()[1]
if'I'==a:
if r<3:r+=1
else:s+=1
if'O'==a:s+=r+1;r=0
if'U'==a:
if o<2:o+=1
else:print(s);break
``` | output | 1 | 104,348 | 19 | 208,697 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
class Point():
def __init__(self,base,score,out):
self.base=base
self.score=score
self.out=out
def hit(self):
if self.base < 3:
self.base = self.base + 1
else:
self.score = self.score + 1
def home(self):
self.score = self.score + self.base + 1
self.base = 0
def out1(self):
self.out = self.out + 1
n = int(input())
for i in range(n):
game = Point(0,0,0)
while 1:
eve = input()
if eve == "HIT":
game.hit()
if eve == "HOMERUN":
game.home()
if eve == "OUT":
game.out1()
if game.out == 3:
print(game.score)
del game
break
``` | instruction | 0 | 104,349 | 19 | 208,698 |
Yes | output | 1 | 104,349 | 19 | 208,699 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
def init_state():
return 0, 0, 0
def main():
n = int(input())
point, hit, out = init_state()
while True:
if n == 0:
break
event = input()
if event == 'HIT':
if hit >= 3:
point += 1
else:
hit += 1
elif event == 'OUT':
out += 1
elif event == 'HOMERUN':
point += hit + 1
hit = 0
if out == 3:
print(point)
point, hit, out = init_state()
n -= 1
if __name__ == '__main__':
main()
``` | instruction | 0 | 104,350 | 19 | 208,700 |
Yes | output | 1 | 104,350 | 19 | 208,701 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
event = []
inning = int(input())
NONE = 0b000
FIRST = 0b001
SECOND = 0b010
THIRD = 0b100
runner = NONE
currentInning = 0
score = 0
outCount = 0
inningScore = []
while currentInning < inning:
data = input()
if data == "HIT":
if (runner & THIRD) == THIRD:
score += 1
runner &= ~THIRD
runner = runner << 1
runner |= FIRST
elif data == "OUT":
outCount += 1
elif data == "HOMERUN":
if (runner & THIRD) == THIRD:
score += 1
if (runner & SECOND) == SECOND:
score += 1
if (runner & FIRST) == FIRST:
score += 1
score += 1
runner = NONE
if outCount == 3:
inningScore.append(score)
currentInning += 1
outCount = 0
score = 0
runner = NONE
for i in range(inning):
print(inningScore[i])
``` | instruction | 0 | 104,351 | 19 | 208,702 |
Yes | output | 1 | 104,351 | 19 | 208,703 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
N = int(input())
for i in range(N):
out = 0
hit = 0
point = 0
while out < 3 :
a = input()
if a == "HIT":
if hit < 3:
hit = hit + 1
else:
point = point + 1
elif a == "HOMERUN":
point += hit + 1
hit = 0
elif a == "OUT":
out += 1
print(point)
``` | instruction | 0 | 104,352 | 19 | 208,704 |
Yes | output | 1 | 104,352 | 19 | 208,705 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
inn=int(input())
o=0
i=0
s=[]
sc=0
ba=[]
while i<inn:
b=input()
if b == "OUT":
o+=1
if o%3 == 0 and o>0:
s.append(sc)
sc=0
i+=1
o=0
ba=[]
elif b == "HIT":
ba.append(1)
if len(ba)>=4:
sc+=1
ba=[1,1,1,1]
elif b == "HOMERUN":
ba.append(1)
sc+=len(ba)
ba=[]
[print(i) for i in s]
``` | instruction | 0 | 104,353 | 19 | 208,706 |
No | output | 1 | 104,353 | 19 | 208,707 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
n=int(raw_input())
game=0
while game<n:
run=0
score=0
out=0
while out<3:
ev=raw_input()
if ev=='OUT':
out=out+1
elif ev=='HIT':
run=run+1
if run>3:
run=3
score=score+1
else:
score=score+run+1
run=0
print score
game=game+1
``` | instruction | 0 | 104,354 | 19 | 208,708 |
No | output | 1 | 104,354 | 19 | 208,709 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
a = int(input().rstrip())
b = 0
while a > b:
c = 0
runner = 0
point = 0
while c < 3:
x = input().rstrip()
if x == ???HIT???:
if runner == 3:
point += 1
else:
runner += 1
elif x == ???HOMERUN???:
point = point + runner + 1
runner = 0
else:
c += 1
print(point)
``` | instruction | 0 | 104,355 | 19 | 208,710 |
No | output | 1 | 104,355 | 19 | 208,711 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ichiro likes baseball and has decided to write a program which simulates baseball.
The program reads events in an inning and prints score in that inning. There are only three events as follows:
Single hit
* put a runner on the first base.
* the runner in the first base advances to the second base and the runner in the second base advances to the third base.
* the runner in the third base advances to the home base (and go out of base) and a point is added to the score.
Home run
* all the runners on base advance to the home base.
* points are added to the score by an amount equal to the number of the runners plus one.
Out
* The number of outs is increased by 1.
* The runners and the score remain stationary.
* The inning ends with three-out.
Ichiro decided to represent these events using "HIT", "HOMERUN" and "OUT", respectively.
Write a program which reads events in an inning and prints score in that inning. You can assume that the number of events is less than or equal to 100.
Input
The input consists of several datasets. In the first line, the number of datasets n is given. Each dataset consists of a list of events (strings) in an inning.
Output
For each dataset, prints the score in the corresponding inning.
Example
Input
2
HIT
OUT
HOMERUN
HIT
HIT
HOMERUN
HIT
OUT
HIT
HIT
HIT
HIT
OUT
HIT
HIT
OUT
HIT
OUT
OUT
Output
7
0
Submitted Solution:
```
ining = int(input())
out_count = 0
score = 0
bases = []
while True:
print(score)
n = input()
if n == 'OUT':
out_count = out_count + 1
if out_count >= 3 * ining: break
if out_count % 3 == 0 and out_count != 0:
bases = []
continue
if n == 'HIT':
bases.append(1)
if len(bases) >= 3:
bases = bases[1:]
score = score + 1
continue
elif n == 'HOMERUN':
score = len(bases) + 1
bases = []
continue
print(score)
``` | instruction | 0 | 104,356 | 19 | 208,712 |
No | output | 1 | 104,356 | 19 | 208,713 |
Provide a correct Python 3 solution for this coding contest problem.
You are a programmer who loves bishojo games (a sub-genre of dating simulation games). A game, which is titled "I * C * P * C!" and was released yesterday, has arrived to you just now. This game has multiple endings. When you complete all of those endings, you can get a special figure of the main heroine, Sakuya. So, you want to hurry and play the game! But, let's calm down a bit and think how to complete all of the endings in the shortest time first.
In fact, you have a special skill that allows you to know the structure of branching points of games. By using the skill, you have found out that all of the branching points in this game are to select two choices "Yes" or "No", and once a different choice is taken the branched stories flow to different endings; they won't converge any more, like a binary tree. You also noticed that it takes exactly one minute to proceed the game from a branching point to another branching point or to an ending. In addition, you can assume it only takes negligible time to return to the beginning of the game (``reset'') and to play from the beginning to the first branching point.
The game has an additional feature called "Quick Save", which can significantly reduce the playing time for completion. The feature allows you to record the point where you are currently playing and return there at any time later. You can record any number of times, but you can hold only the last recorded point. That is, when you use Quick Save, you overwrite the previous record. If you want to return to the overwritten point, you must play the game from the beginning once again.
Well, let's estimate how long it will take for completing all of the endings in the shortest time.
Input
A data set is given in the following format.
The first line of the data set contains one integer N (2 \leq N \leq 500{,}000), which denotes the number of the endings in this game. The following N-1 lines describe the branching points. The i-th line describes the branching point of ID number i and contains two integers Yes_i and No_i (i + 1 \leq Yes_i, No_i \leq N), which denote the ID numbers of the next branching points when you select Yes or No respectively. Yes_i = N means that you can reach an ending if you select Yes, and so for No_i = N. The branching point with ID 1 is the first branching point. The branching points with ID between 2 and N-1 (inclusive) appear exactly once in Yes_i's and No_i's.
Output
Print the shortest time in a line.
Examples
Input
4
2 3
4 4
4 4
Output
6
Input
5
5 2
3 5
5 4
5 5
Output
8 | instruction | 0 | 104,368 | 19 | 208,736 |
"Correct Solution:
```
from collections import deque
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def solve():
N = int(readline())
A = [0]*N
B = [0]*N
for i in range(N-1):
a, b = map(int, readline().split())
if not a <= b:
a, b = b, a
A[i] = a-1
B[i] = b-1
que = deque([0])
vs = []
dist = [0]*N
while que:
v = que.popleft()
vs.append(v)
d = dist[v]
if A[v] != N-1:
w = A[v]
que.append(w)
dist[w] = d+1
if B[v] != N-1:
w = B[v]
que.append(w)
dist[w] = d+1
sz = [0]*N
dp = [[0, 0] for i in range(N)]
vs.reverse()
for v in vs:
a = A[v]; b = B[v]
if a == N-1:
dp[v][0] = 2
dp[v][1] = dist[v] + 2
sz[v] = 2
elif b == N-1:
dp[v][0] = dp[a][0] + sz[a] + 1
dp[v][1] = dp[a][1] + 1
sz[v] = sz[a] + 1
else:
dp[v][0] = dp[a][0] + dp[b][0] + sz[a] + sz[b]
dp[v][1] = min(dp[a][0] + dp[b][1] + sz[a], dp[a][1] + dp[b][0] + sz[b], dp[a][1] + dp[b][1])
sz[v] = sz[a] + sz[b]
write("%d\n" % dp[0][1])
solve()
``` | output | 1 | 104,368 | 19 | 208,737 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,717 | 19 | 209,434 |
Tags: greedy
Correct Solution:
```
import math
tot = int(input())
arr = list(map(int,input().split(" ")))
p = tot - 1
p = int(math.log(p)/math.log(2))
k = range(1,2**p + 1)
ct = 1
prev = 0
for i in range(tot -1):
print(prev + arr[i])
prev = arr[i] + prev
if(arr[i]!=0):
p = int(math.log(tot - 1 - i)/math.log(2))
arr[i + 2 ** p] += arr[i]
# print(tp)
# for i in range(1,tot):
# print(tp)
# for i in k:
# print(sum(arr[:i]))
# for i in range(2**p + 1,tot):
# print(sum(arr[:i]) + sum(arr[:ct]))
# ct += 1
``` | output | 1 | 104,717 | 19 | 209,435 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,718 | 19 | 209,436 |
Tags: greedy
Correct Solution:
```
import math
n = int(input())
a = list(map(int, input().split()))
c = 0
for i in range(n-1):
j = i + 2**int(math.log(n-1-i, 2))
c += a[i]
a[j] += a[i]
a[i] = 0
print(c)
``` | output | 1 | 104,718 | 19 | 209,437 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,719 | 19 | 209,438 |
Tags: greedy
Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
ans = []
cur = 0
for i in range(n - 1):
if a[i] == 0:
ans.append(cur)
else:
t = 0
while i + 2 ** t < n:
t += 1
t -= 1
cur += a[i]
a[i + 2 ** t] += a[i]
ans.append(cur)
for x in ans:
print(x)
``` | output | 1 | 104,719 | 19 | 209,439 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,720 | 19 | 209,440 |
Tags: greedy
Correct Solution:
```
from math import log,floor
n = int(input())
a = list(map(int,input().split()))
for k in range(1,n):
moves=0
b = a[:]
for i in range(1,k+1):
x = log(n-i,2)
j=floor(x)
while j>=0:
y = i+(2**j)
if y<=n:
moves += b[i-1]
b[y-1] += b[i-1]
b[i-1] = 0
break
else:
j -= 1
print(moves)
``` | output | 1 | 104,720 | 19 | 209,441 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,721 | 19 | 209,442 |
Tags: greedy
Correct Solution:
```
import sys
import math
#to read string
get_string = lambda: sys.stdin.readline().strip()
#to read list of integers
get_int_list = lambda: list( map(int,sys.stdin.readline().strip().split()) )
#to read integers
get_int = lambda: int(sys.stdin.readline())
#--------------------------------WhiteHat010--------------------------------------#
n = get_int()
lst = get_int_list()
prev = 0
for i in range(n-1):
t = int( math.log( n-i-1 , 2 ) )
prev = prev + lst[i]
lst[2**t + i] += lst[i]
print(prev)
``` | output | 1 | 104,721 | 19 | 209,443 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,722 | 19 | 209,444 |
Tags: greedy
Correct Solution:
```
n = int(input())
a = list(map(int,input().split()))
ans = 0
for i in range(n-1):
if a[i] != 0:
for j in range(17,-1,-1):
if i+2**j < n:
a[i+2**j] += a[i]
ans += a[i]
a[i] = 0
print(ans)
``` | output | 1 | 104,722 | 19 | 209,445 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,723 | 19 | 209,446 |
Tags: greedy
Correct Solution:
```
from math import *
t = int(input())
array = []
i = t
array = list(map(int,input().split()))
ans = 0
for x in range(0,i-1):
ans += array[x]
diff = i - x -1
power = int(log(diff,2))
array[x+(2**power)]+=array[x]
print(ans)
``` | output | 1 | 104,723 | 19 | 209,447 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40 | instruction | 0 | 104,724 | 19 | 209,448 |
Tags: greedy
Correct Solution:
```
n=int(input())
L=[int(x) for x in input().split()]
count=0
for i in range(n-1):
t=0
while i+2**(t+1)<n:
t+=1
L[i+2**t]+=L[i]
count+=L[i]
L[i]=0
print(count)
``` | output | 1 | 104,724 | 19 | 209,449 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40
Submitted Solution:
```
n = int(input())
a = [int(t) for t in input().split()]
c = 0
for i in range(n - 1):
if a[i] > 0:
c += a[i]
print(c)
j = 0
while 2 ** j + i < n:
j += 1
a[2 ** (j - 1) + i] += a[i]
a[i] = 0
else:
print(c)
``` | instruction | 0 | 104,725 | 19 | 209,450 |
Yes | output | 1 | 104,725 | 19 | 209,451 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40
Submitted Solution:
```
n = int(input())
a = [int(i) for i in input().split()]
cnt = 0
for i in range(n-1):
t = 0;
while (i+(1<<t)) < n:
t+=1
j = i + (1<<(t-1))
a[j] += a[i]
cnt += a[i]
print(cnt)
``` | instruction | 0 | 104,726 | 19 | 209,452 |
Yes | output | 1 | 104,726 | 19 | 209,453 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40
Submitted Solution:
```
import math
def calc_max_pow(i, n):
return int(math.log(n - i, 2) // 1)
n = int(input())
sequence = input().split(' ')
for i in range(n):
sequence[i] = int(sequence[i])
moves_before = 0
for i in range(n - 1):
moves_before += sequence[i]
print(moves_before)
max_pow_to_move = calc_max_pow(i + 1, n)
move_to = pow(2, max_pow_to_move) + i
sequence[move_to] += sequence[i]
``` | instruction | 0 | 104,727 | 19 | 209,454 |
Yes | output | 1 | 104,727 | 19 | 209,455 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40
Submitted Solution:
```
import math
n = int(input())
a = [int(s) for s in input().split(' ')]
def calculate(mylist):
number_of_steps = []
length = len(mylist)
def getLastIndex(i,n):
t = int(math.log(n - i,2))
return i + 2 ** t
for i in range(1,n):
if(i == 1):
number_of_steps.append(mylist[0])
mylist[getLastIndex(1,length) - 1] += mylist[0]
else:
number_of_steps.append(number_of_steps[-1] + mylist[i-1])
mylist[getLastIndex(i,length) - 1] += mylist[i-1]
for i in number_of_steps:
print(i)
calculate(a)
``` | instruction | 0 | 104,728 | 19 | 209,456 |
Yes | output | 1 | 104,728 | 19 | 209,457 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of n non-negative integers ai numbered from 1 to n. The goal of the game is to make numbers a1, a2, ..., ak (i.e. some prefix of the sequence) equal to zero for some fixed k (k < n), and this should be done in the smallest possible number of moves.
One move is choosing an integer i (1 ≤ i ≤ n) such that ai > 0 and an integer t (t ≥ 0) such that i + 2t ≤ n. After the values of i and t have been selected, the value of ai is decreased by 1, and the value of ai + 2t is increased by 1. For example, let n = 4 and a = (1, 0, 1, 2), then it is possible to make move i = 3, t = 0 and get a = (1, 0, 0, 3) or to make move i = 1, t = 1 and get a = (0, 0, 2, 2) (the only possible other move is i = 1, t = 0).
You are given n and the initial sequence ai. The task is to calculate the minimum number of moves needed to make the first k elements of the original sequence equal to zero for each possible k (1 ≤ k < n).
Input
The first input line contains a single integer n. The second line contains n integers ai (0 ≤ ai ≤ 104), separated by single spaces.
The input limitations for getting 20 points are:
* 1 ≤ n ≤ 300
The input limitations for getting 50 points are:
* 1 ≤ n ≤ 2000
The input limitations for getting 100 points are:
* 1 ≤ n ≤ 105
Output
Print exactly n - 1 lines: the k-th output line must contain the minimum number of moves needed to make the first k elements of the original sequence ai equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Examples
Input
4
1 0 1 2
Output
1
1
3
Input
8
1 2 3 4 5 6 7 8
Output
1
3
6
10
16
24
40
Submitted Solution:
```
n = int(input())
a = list(map(int,input().split()))
rs = 0
for i in range(1,n):
if a[i - 1]!=0:
rs+=a[i - 1]
print(rs)
t = 0
while(i+2**t <= n): t+=1
t-=1
a[int(i + 2**t) - 1] += a[i - 1]
``` | instruction | 0 | 104,729 | 19 | 209,458 |
No | output | 1 | 104,729 | 19 | 209,459 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Two best friends Serozha and Gena play a game.
Initially there is one pile consisting of n stones on the table. During one move one pile should be taken and divided into an arbitrary number of piles consisting of a1 > a2 > ... > ak > 0 stones. The piles should meet the condition a1 - a2 = a2 - a3 = ... = ak - 1 - ak = 1. Naturally, the number of piles k should be no less than two.
The friends play in turns. The player who cannot make a move loses. Serozha makes the first move. Who will win if both players play in the optimal way?
Input
The single line contains a single integer n (1 ≤ n ≤ 105).
Output
If Serozha wins, print k, which represents the minimal number of piles into which he can split the initial one during the first move in order to win the game.
If Gena wins, print "-1" (without the quotes).
Examples
Input
3
Output
2
Input
6
Output
-1
Input
100
Output
8 | instruction | 0 | 105,004 | 19 | 210,008 |
Tags: dp, games, math
Correct Solution:
```
import math
from collections import Counter
n = int(input())
g = [0 for i in range(n + 1)]
prefix_xor = g.copy()
def in_range(d, k):
if (2 * k - d * d + d) % (2 * d) != 0:
return -1
x = (2 * k - d * d + d) / (2 * d)
return int(x) if x > 0 else -1
def mex(arr):
counter = Counter()
for i in arr:
counter[i] += 1
for i in range(0, len(arr) + 1):
if counter[i] == 0:
return i
def find_move(arr):
for i in range(0, len(arr)):
if arr[i] == 0:
return i
return -1
if n < 3:
print(-1)
exit(0)
for i in range(3, n + 1):
for_range = range(2, int(math.sqrt(2 * i)) + 1)
filter_range = [l for l in for_range if in_range(l, i) > 0]
branches = [prefix_xor[in_range(d, i) + d - 1] ^ prefix_xor[in_range(d, i) - 1] for d in filter_range]
g[i] = mex(branches)
prefix_xor[i] = prefix_xor[i - 1] ^ g[i]
if i == n:
print(-1 if g[i] == 0 else filter_range[find_move(branches)])
``` | output | 1 | 105,004 | 19 | 210,009 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two best friends Serozha and Gena play a game.
Initially there is one pile consisting of n stones on the table. During one move one pile should be taken and divided into an arbitrary number of piles consisting of a1 > a2 > ... > ak > 0 stones. The piles should meet the condition a1 - a2 = a2 - a3 = ... = ak - 1 - ak = 1. Naturally, the number of piles k should be no less than two.
The friends play in turns. The player who cannot make a move loses. Serozha makes the first move. Who will win if both players play in the optimal way?
Input
The single line contains a single integer n (1 ≤ n ≤ 105).
Output
If Serozha wins, print k, which represents the minimal number of piles into which he can split the initial one during the first move in order to win the game.
If Gena wins, print "-1" (without the quotes).
Examples
Input
3
Output
2
Input
6
Output
-1
Input
100
Output
8
Submitted Solution:
```
import sys
from array import array # noqa: F401
def input():
return sys.stdin.buffer.readline().decode('utf-8')
n = int(input())
dp = [0] * (n + 1)
for i in range(2, n):
nim = dp[i] ^ 1
total = i
for j in range(i - 1, 0, -1):
total += j
nim ^= dp[j]
if total > n:
break
dp[total] |= nim
if total == n:
print(i - j + 1)
exit()
print(-1)
``` | instruction | 0 | 105,005 | 19 | 210,010 |
No | output | 1 | 105,005 | 19 | 210,011 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two best friends Serozha and Gena play a game.
Initially there is one pile consisting of n stones on the table. During one move one pile should be taken and divided into an arbitrary number of piles consisting of a1 > a2 > ... > ak > 0 stones. The piles should meet the condition a1 - a2 = a2 - a3 = ... = ak - 1 - ak = 1. Naturally, the number of piles k should be no less than two.
The friends play in turns. The player who cannot make a move loses. Serozha makes the first move. Who will win if both players play in the optimal way?
Input
The single line contains a single integer n (1 ≤ n ≤ 105).
Output
If Serozha wins, print k, which represents the minimal number of piles into which he can split the initial one during the first move in order to win the game.
If Gena wins, print "-1" (without the quotes).
Examples
Input
3
Output
2
Input
6
Output
-1
Input
100
Output
8
Submitted Solution:
```
import math
from collections import Counter
n = int(input())
g = [0 for i in range(n + 1)]
prefix_xor = g.copy()
def in_range(d, k):
if (2 * k - d * d + d) % (2 * d) != 0:
return -1
x = (2 * k - d * d + d) / (2 * d)
return int(x) if x > 0 else -1
def mex(arr):
counter = Counter()
for i in arr:
counter[i] += 1
for i in range(0, len(arr) + 1):
if counter[i] == 0:
return i
def find_move(arr):
for i in range(0, len(arr)):
if arr[i] == 0:
return i
return -1
for i in range(3, n + 1):
for_range = range(2, int(math.sqrt(2 * i)) + 1)
filter_range = [l for l in for_range if in_range(l, i) > 0]
branches = [prefix_xor[in_range(d, i) + d - 1] ^ prefix_xor[in_range(d, i) - 1] for d in filter_range]
g[i] = mex(branches)
prefix_xor[i] ^= g[i]
if i == n:
print(-1 if g[i] == 0 else filter_range[find_move(branches)])
``` | instruction | 0 | 105,006 | 19 | 210,012 |
No | output | 1 | 105,006 | 19 | 210,013 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two best friends Serozha and Gena play a game.
Initially there is one pile consisting of n stones on the table. During one move one pile should be taken and divided into an arbitrary number of piles consisting of a1 > a2 > ... > ak > 0 stones. The piles should meet the condition a1 - a2 = a2 - a3 = ... = ak - 1 - ak = 1. Naturally, the number of piles k should be no less than two.
The friends play in turns. The player who cannot make a move loses. Serozha makes the first move. Who will win if both players play in the optimal way?
Input
The single line contains a single integer n (1 ≤ n ≤ 105).
Output
If Serozha wins, print k, which represents the minimal number of piles into which he can split the initial one during the first move in order to win the game.
If Gena wins, print "-1" (without the quotes).
Examples
Input
3
Output
2
Input
6
Output
-1
Input
100
Output
8
Submitted Solution:
```
from math import sqrt
def ii():return int(input())
def si():return input()
def mi():return map(int,input().split())
def li():return list(mi())
abc="abcdefghijklmnopqrstuvwxyz"
t=ii()
i=2
f=0
while(1):
s=t-(i*(i-1))//2
if(s<=0):
f=1
break
if(s%i==0 and i%2==0):
break
i+=1
if(f==1):
print("-1")
else:
print(i)
``` | instruction | 0 | 105,007 | 19 | 210,014 |
No | output | 1 | 105,007 | 19 | 210,015 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Two best friends Serozha and Gena play a game.
Initially there is one pile consisting of n stones on the table. During one move one pile should be taken and divided into an arbitrary number of piles consisting of a1 > a2 > ... > ak > 0 stones. The piles should meet the condition a1 - a2 = a2 - a3 = ... = ak - 1 - ak = 1. Naturally, the number of piles k should be no less than two.
The friends play in turns. The player who cannot make a move loses. Serozha makes the first move. Who will win if both players play in the optimal way?
Input
The single line contains a single integer n (1 ≤ n ≤ 105).
Output
If Serozha wins, print k, which represents the minimal number of piles into which he can split the initial one during the first move in order to win the game.
If Gena wins, print "-1" (without the quotes).
Examples
Input
3
Output
2
Input
6
Output
-1
Input
100
Output
8
Submitted Solution:
```
import math
from collections import Counter
n = int(input())
g = [0 for i in range(n + 1)]
prefix_xor = g.copy()
def in_range(d, k):
if (2 * k - d * d + d) % (2 * d) != 0:
return -1
x = (2 * k - d * d + d) / (2 * d)
return int(x) if x > 0 else -1
def mex(arr):
counter = Counter()
for i in arr:
counter[i] += 1
for i in range(0, len(arr) + 1):
if counter[i] == 0:
return i
def find_move(arr):
for i in range(0, len(arr)):
if arr[i] == 0:
return i
return -1
for i in range(3, n + 1):
for_range = range(2, int(math.sqrt(2 * i)) + 1)
filter_range = [l for l in for_range if in_range(l, i) > 0]
branches = [prefix_xor[in_range(d, i) + d - 1] ^ prefix_xor[in_range(d, i) - 1] for d in filter_range]
g[i] = mex(branches)
prefix_xor[i] = prefix_xor[i-1] ^ g[i]
if i == n:
print(-1 if g[i] == 0 else filter_range[find_move(branches)])
``` | instruction | 0 | 105,008 | 19 | 210,016 |
No | output | 1 | 105,008 | 19 | 210,017 |
Provide a correct Python 3 solution for this coding contest problem.
Playing with Stones
Koshiro and Ukiko are playing a game with black and white stones. The rules of the game are as follows:
1. Before starting the game, they define some small areas and place "one or more black stones and one or more white stones" in each of the areas.
2. Koshiro and Ukiko alternately select an area and perform one of the following operations.
(a) Remove a white stone from the area
(b) Remove one or more black stones from the area. Note, however, that the number of the black stones must be less than or equal to white ones in the area.
(c) Pick up a white stone from the stone pod and replace it with a black stone. There are plenty of white stones in the pod so that there will be no shortage during the game.
3. If either Koshiro or Ukiko cannot perform 2 anymore, he/she loses.
They played the game several times, with Koshiro’s first move and Ukiko’s second move, and felt the winner was determined at the onset of the game. So, they tried to calculate the winner assuming both players take optimum actions.
Given the initial allocation of black and white stones in each area, make a program to determine which will win assuming both players take optimum actions.
Input
The input is given in the following format.
$N$
$w_1$ $b_1$
$w_2$ $b_2$
:
$w_N$ $b_N$
The first line provides the number of areas $N$ ($1 \leq N \leq 10000$). Each of the subsequent $N$ lines provides the number of white stones $w_i$ and black stones $b_i$ ($1 \leq w_i, b_i \leq 100$) in the $i$-th area.
Output
Output 0 if Koshiro wins and 1 if Ukiko wins.
Examples
Input
4
24 99
15 68
12 90
95 79
Output
0
Input
3
2 46
94 8
46 57
Output
1 | instruction | 0 | 105,198 | 19 | 210,396 |
"Correct Solution:
```
#!usr/bin/env python3
from collections import defaultdict,deque
from heapq import heappush, heappop
from itertools import permutations
import sys
import math
import bisect
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def I(): return int(sys.stdin.readline())
def LS():return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == "\n":
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve():
g = defaultdict(lambda : None)
g[(0,0)] = 0
def grundy(w,b):
if g[(w,b)] != None:
return g[(w,b)]
s = set()
if w:
s.add(grundy(w-1,b))
if b:
s.add(grundy(w+1,b-1))
for i in range(1,min(w,b)+1):
s.add(grundy(w,b-i))
i = 0
while i in s:
i += 1
g[(w,b)] = i
return i
n = I()
ans = 0
for _ in range(n):
w,b = LI()
ans ^= grundy(w,b)
print(0 if ans else 1)
return
#Solve
if __name__ == "__main__":
solve()
``` | output | 1 | 105,198 | 19 | 210,397 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao is taking part in a quiz. The quiz consists of n consecutive questions. A correct answer gives one point to the player. The game also has a counter of consecutive correct answers. When the player answers a question correctly, the number on this counter increases by 1. If the player answers a question incorrectly, the counter is reset, that is, the number on it reduces to 0. If after an answer the counter reaches the number k, then it is reset, and the player's score is doubled. Note that in this case, first 1 point is added to the player's score, and then the total score is doubled. At the beginning of the game, both the player's score and the counter of consecutive correct answers are set to zero.
Manao remembers that he has answered exactly m questions correctly. But he does not remember the order in which the questions came. He's trying to figure out what his minimum score may be. Help him and compute the remainder of the corresponding number after division by 1000000009 (109 + 9).
Input
The single line contains three space-separated integers n, m and k (2 ≤ k ≤ n ≤ 109; 0 ≤ m ≤ n).
Output
Print a single integer — the remainder from division of Manao's minimum possible score in the quiz by 1000000009 (109 + 9).
Examples
Input
5 3 2
Output
3
Input
5 4 2
Output
6
Note
Sample 1. Manao answered 3 questions out of 5, and his score would double for each two consecutive correct answers. If Manao had answered the first, third and fifth questions, he would have scored as much as 3 points.
Sample 2. Now Manao answered 4 questions. The minimum possible score is obtained when the only wrong answer is to the question 4.
Also note that you are asked to minimize the score and not the remainder of the score modulo 1000000009. For example, if Manao could obtain either 2000000000 or 2000000020 points, the answer is 2000000000 mod 1000000009, even though 2000000020 mod 1000000009 is a smaller number. | instruction | 0 | 105,565 | 19 | 211,130 |
Tags: binary search, greedy, math, matrices, number theory
Correct Solution:
```
n, corecte, k = map(int, input().split())
incorecte = n - corecte
mod = 10**9 + 9
corecte_consecutive = max(0, n - incorecte * k)
dublari = corecte_consecutive // k
corecte_ramase = corecte - corecte_consecutive
def power(b, exp):
if exp == 0: return 1
half = power(b, exp//2)
if exp%2 == 0: return (half*half) % mod
return (half*half*b) % mod
score = (power(2, dublari+1) - 2) * k + corecte_ramase + corecte_consecutive % k
print(score % mod)
``` | output | 1 | 105,565 | 19 | 211,131 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Manao is taking part in a quiz. The quiz consists of n consecutive questions. A correct answer gives one point to the player. The game also has a counter of consecutive correct answers. When the player answers a question correctly, the number on this counter increases by 1. If the player answers a question incorrectly, the counter is reset, that is, the number on it reduces to 0. If after an answer the counter reaches the number k, then it is reset, and the player's score is doubled. Note that in this case, first 1 point is added to the player's score, and then the total score is doubled. At the beginning of the game, both the player's score and the counter of consecutive correct answers are set to zero.
Manao remembers that he has answered exactly m questions correctly. But he does not remember the order in which the questions came. He's trying to figure out what his minimum score may be. Help him and compute the remainder of the corresponding number after division by 1000000009 (109 + 9).
Input
The single line contains three space-separated integers n, m and k (2 ≤ k ≤ n ≤ 109; 0 ≤ m ≤ n).
Output
Print a single integer — the remainder from division of Manao's minimum possible score in the quiz by 1000000009 (109 + 9).
Examples
Input
5 3 2
Output
3
Input
5 4 2
Output
6
Note
Sample 1. Manao answered 3 questions out of 5, and his score would double for each two consecutive correct answers. If Manao had answered the first, third and fifth questions, he would have scored as much as 3 points.
Sample 2. Now Manao answered 4 questions. The minimum possible score is obtained when the only wrong answer is to the question 4.
Also note that you are asked to minimize the score and not the remainder of the score modulo 1000000009. For example, if Manao could obtain either 2000000000 or 2000000020 points, the answer is 2000000000 mod 1000000009, even though 2000000020 mod 1000000009 is a smaller number. | instruction | 0 | 105,566 | 19 | 211,132 |
Tags: binary search, greedy, math, matrices, number theory
Correct Solution:
```
n,m,k = map(int,input().split())
chunks = n//k
freespots = chunks*(k-1) + n%k
if m <= freespots:
print(m)
else:
doubles = m-freespots
dchunks = doubles
chunks -= dchunks
total = (pow(2,dchunks,1000000009)-1)*k*2
total += n%k + chunks*(k-1)
print(total%1000000009)
``` | output | 1 | 105,566 | 19 | 211,133 |
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