message stringlengths 2 44.5k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 42 109k | cluster float64 5 5 | __index_level_0__ int64 84 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8 | instruction | 0 | 25,444 | 5 | 50,888 |
"Correct Solution:
```
# coding: utf-8
# hello worldと表示する
N=int(input())
s=list(map(int,input().split()))
def f(N,s,t):
ss=0
w=0
for i in range(N):
ss+=s[i]
if t==1:
if ss<=0:
w+=1-ss
ss=1
t=-1
elif t==-1:
if ss>=0:
w+=1+ss
ss=-1
t=1
return w
t=1
a=f(N,s,t)
t=-1
b=f(N,s,t)
print(min(a,b))
``` | output | 1 | 25,444 | 5 | 50,889 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8 | instruction | 0 | 25,445 | 5 | 50,890 |
"Correct Solution:
```
n=int(input())
l=list(map(int,input().split()))
a1=0
a2=0
s1=0
s2=0
for i,j in enumerate(l):
s1+=j
s2+=j
if i%2:
if s1>=0:
a1+=s1+1
s1=-1
if s2<=0:
a2+=-s2+1
s2=1
else:
if s2>=0:
a2+=s2+1
s2=-1
if s1<=0:
a1+=-s1+1
s1=1
print(min(a1,a2))
``` | output | 1 | 25,445 | 5 | 50,891 |
Provide a correct Python 3 solution for this coding contest problem.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8 | instruction | 0 | 25,446 | 5 | 50,892 |
"Correct Solution:
```
def sign(X):
return [-1,0,1][(X>=0)+(X>0)]
N = int(input())
A = [int(T) for T in input().split()]
AFPCnt = 0
AFPNow = 0
for TFP in range(0,N):
AFPNow += A[TFP]
if sign(AFPNow)!=(-1)**TFP:
AFPCnt += abs(AFPNow)+1
AFPNow = (-1)**TFP
AFFCnt = 0
AFFNow = 0
for TFF in range(0,N):
AFFNow += A[TFF]
if sign(AFFNow)!=(-1)**(TFF+1):
AFFCnt += abs(AFFNow)+1
AFFNow = (-1)**(TFF+1)
print(min(AFPCnt,AFFCnt))
``` | output | 1 | 25,446 | 5 | 50,893 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
N = int(input())
A = [int(_) for _ in input().split()]
now = 0
cnt = 0
for i, a in enumerate(A):
b = (-1)**i
now += a
if now * b <= 0:
cnt += abs(now - b)
now = b
ans = cnt
now = 0
cnt = 0
for i, a in enumerate(A):
b = (-1)**(i + 1)
now += a
if now * b <= 0:
cnt += abs(now - b)
now = b
ans = min(ans, cnt)
print(ans)
``` | instruction | 0 | 25,447 | 5 | 50,894 |
Yes | output | 1 | 25,447 | 5 | 50,895 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
N = int(input())
A = list(map(int,input().split()))
ans = 10**15
for s in [1,-1]:
cos = 0
tot = 0
for a in A:
tot+=a
if s*tot<=0:
cos+=abs(tot-s)
tot=s
s*=-1
ans=min(ans,cos)
print(ans)
``` | instruction | 0 | 25,448 | 5 | 50,896 |
Yes | output | 1 | 25,448 | 5 | 50,897 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split()))
def calc(sgn):
ans = 0
sum = 0
for ai in a:
sum += ai
sgn *= -1
if sum == 0:
ans += 1
sum = sgn
elif sum * sgn < 0:
ans += abs(sum) + 1
sum = sgn
return ans
print(min(calc(1), calc(-1)))
``` | instruction | 0 | 25,449 | 5 | 50,898 |
Yes | output | 1 | 25,449 | 5 | 50,899 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
n = int(input())
A = list(map(int, input().split()))
INF = float('inf')
ans = INF
for sign in (1, -1):
res, total_a = 0, 0
for a in A:
total_a += a
if total_a * sign <= 0:
res += abs(total_a - sign)
total_a = sign
sign *= -1
ans = min(ans, res)
print(ans)
``` | instruction | 0 | 25,450 | 5 | 50,900 |
Yes | output | 1 | 25,450 | 5 | 50,901 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split()))
a1 = [a[0]] * n
b = a[0]
ans = 0
def f(x):
if x == 0:
return 0
else:
return x // abs(x)
for i in range(1, n):
if a1[i - 1] * a[i] >= 0:
a1[i] = -a[i]
else:
a1[i] = a[i]
if b * (b + a1[i]) >= 0:
a1[i] = -f(a1[i - 1]) - b
if b + a1[i] == 0:
a1[i] += f(a1[i])
ans += abs(a1[i] - a[i])
b += a1[i]
a2 = [0] * n
ans1 = abs(-f(a2[0]) - a2[0])
a2[0] = -f(a2[0])
b1 = a2[0]
for i in range(1, n):
if a2[i - 1] * a[i] >= 0:
a2[i] = -a[i]
else:
a2[i] = a[i]
if b * (b + a2[i]) >= 0:
a2[i] = -f(a2[i - 1]) - b1
if b1 + a2[i] == 0:
a2[i] += f(a2[i])
ans1 += abs(a2[i] - a[i])
b1 += a2[i]
print(min(ans1, ans))
``` | instruction | 0 | 25,451 | 5 | 50,902 |
No | output | 1 | 25,451 | 5 | 50,903 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
from itertools import accumulate
N=int(input())
AX=list(accumulate(list(map(int, input().split()))))
ans=0
for i in range(1,N):
if (AX[i]>=0 and AX[i-1]>=0):
tmp=-1-AX[i]
for j in range(i,N):
AX[j]+=tmp
ans+=abs(tmp)
if (AX[i]<=0 and AX[i-1]<=0):
tmp=1-AX[i]
for j in range(i,N):
AX[j]+=tmp
ans+=abs(tmp)
print(ans)
``` | instruction | 0 | 25,452 | 5 | 50,904 |
No | output | 1 | 25,452 | 5 | 50,905 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
#!/usr/bin/env python3
import sys
INF = float("inf")
def solve(n: int, a: "List[int]"):
# 正スタート
tot = 0
countA = 0
for i, x in enumerate(a):
tot += x
if i % 2 == 0:
if tot <= 0:
countA += -tot+1
tot = 1
elif i % 2 == 1:
if tot >= 0:
countA += tot+1
tot = -1
tot = 0
countB = 0
for i, x in enumerate(a):
tot += x
if i % 2 == 1:
if tot <= 0:
countB += -tot+1
tot = 1
elif i % 2 == 0:
if tot >= 1:
countB += tot+1
tot = -1
print(min(countA, countB))
return
def main():
def iterate_tokens():
for line in sys.stdin:
for word in line.split():
yield word
tokens = iterate_tokens()
n = int(next(tokens)) # type: int
a = [int(next(tokens)) for _ in range(n)] # type: "List[int]"
solve(n, a)
if __name__ == '__main__':
main()
``` | instruction | 0 | 25,453 | 5 | 50,906 |
No | output | 1 | 25,453 | 5 | 50,907 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence of length N. The i-th term in the sequence is a_i. In one operation, you can select a term and either increment or decrement it by one.
At least how many operations are necessary to satisfy the following conditions?
* For every i (1≤i≤n), the sum of the terms from the 1-st through i-th term is not zero.
* For every i (1≤i≤n-1), the sign of the sum of the terms from the 1-st through i-th term, is different from the sign of the sum of the terms from the 1-st through (i+1)-th term.
Constraints
* 2 ≤ n ≤ 10^5
* |a_i| ≤ 10^9
* Each a_i is an integer.
Input
Input is given from Standard Input in the following format:
n
a_1 a_2 ... a_n
Output
Print the minimum necessary count of operations.
Examples
Input
4
1 -3 1 0
Output
4
Input
5
3 -6 4 -5 7
Output
0
Input
6
-1 4 3 2 -5 4
Output
8
Submitted Solution:
```
def ii():return int(input())
def iim():return map(int,input().split())
def iil():return list(map(int,input().split()))
def ism():return map(str,input().split())
def isl():return list(map(str,input().split()))
import numpy
n = ii()
A = iil()
cum = numpy.cumsum(A)
#print(cum)
#print(type(cum))
now = -1*cum[0]
ans = 0
ope = 0
for i,item in enumerate(cum):
num = item+ope
if num == 0:
ans += 1
ope += 1 if now < 0 else -1
num += 1 if now < 0 else -1
elif num*now > 0:
ans += abs(num)+1
ope -= (abs(num)+1)*num//abs(num)
num -= (abs(num)+1)*num//abs(num)
# print(ans,ope,num)
now = num
now = -1*cum[0]
ans2 = 0
ope = 0
for i,item in enumerate(cum):
num = item+ope
if num == 0:
ans2 += 1
ope += 1 if now < 0 else -1
num += 1 if now < 0 else -1
elif num*now > 0:
ans2 += abs(num)+1
ope -= (abs(num)+1)*num//abs(num)
num -= (abs(num)+1)*num//abs(num)
# print(ans,ope,num)
now = num
print(min(ans,ans2))
``` | instruction | 0 | 25,454 | 5 | 50,908 |
No | output | 1 | 25,454 | 5 | 50,909 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
10 3
3 7
8 9
2 5
Output
23 | instruction | 0 | 25,529 | 5 | 51,058 |
"Correct Solution:
```
import sys
reader=(token for line in sys.stdin for token in line.split())
while 1:
try:
n=int(next(reader))
m=int(next(reader))
except: break
a=[1]*(n+1)
for i in range(m):
c=int(next(reader))-1
d=int(next(reader))-1
for i in range(c,d):
a[i]=3
print(sum(a))
``` | output | 1 | 25,529 | 5 | 51,059 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
10 3
3 7
8 9
2 5
Output
23 | instruction | 0 | 25,530 | 5 | 51,060 |
"Correct Solution:
```
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI(): return list(map(int, sys.stdin.readline().split()))
def I(): return int(sys.stdin.readline())
def LS():return list(map(list, sys.stdin.readline().split()))
def S(): return list(sys.stdin.readline())[:-1]
def IR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = I()
return l
def LIR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = LI()
return l
def SR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = S()
return l
def LSR(n):
l = [None for i in range(n)]
for i in range(n):l[i] = LS()
return l
sys.setrecursionlimit(1000000)
mod = 1000000007
#A
def A():
s = input()
c = I()
a = eval(s)
b = int(s[0])
n = len(s)
if n == 1:
if int(s[0]) == c:
print("U")
else:
print("I")
quit()
key = 0 if s[1] == "+" else 1
for i in range(2,n):
if not i%2:
if key:
b *= int(s[i])
else:
b += int(s[i])
else:
key = 0 if s[i] == "+" else 1
if a == b:
if a == c:
print("U")
else:
print("I")
elif a == c:
print("M")
elif b == c:
print("L")
else:
print("I")
return
#B
def B():
n,m = LI()
t = [0 for i in range(2*n+3)]
for i in range(m):
a,b = LI()
t[2*a] += 1
t[2*b+1] -= 1
for i in range(2*n+1):
t[i+1] += t[i]
ans = n+1
s = 0
key = 1
for i in t:
if i > 0:
if key:
key = 0
s += 1
ans += 1
else:
key = 1
ans -= s
print(ans)
return
#C
def C():
return
#D
def D():
return
#E
def E():
return
#F
def F():
return
#G
def G():
return
#H
def H():
return
#I
def I_():
return
#J
def J():
return
#Solve
if __name__ == "__main__":
B()
``` | output | 1 | 25,530 | 5 | 51,061 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
10 3
3 7
8 9
2 5
Output
23 | instruction | 0 | 25,531 | 5 | 51,062 |
"Correct Solution:
```
N,m = map(int, input().split())
again = set()
for i in range(m):
a,b = map(int, input().split())
for k in range(a,b):
again.add(k)
r = N+1 + 2*(len(again))
print(r)
``` | output | 1 | 25,531 | 5 | 51,063 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
10 3
3 7
8 9
2 5
Output
23 | instruction | 0 | 25,532 | 5 | 51,064 |
"Correct Solution:
```
#!usr/bin/env python3
from collections import defaultdict
from collections import deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
import itertools
sys.setrecursionlimit(10**5)
stdin = sys.stdin
bisect_left = bisect.bisect_left
bisect_right = bisect.bisect_right
def LI(): return list(map(int, stdin.readline().split()))
def LF(): return list(map(float, stdin.readline().split()))
def LI_(): return list(map(lambda x: int(x)-1, stdin.readline().split()))
def II(): return int(stdin.readline())
def IF(): return float(stdin.readline())
def LS(): return list(map(list, stdin.readline().split()))
def S(): return list(stdin.readline().rstrip())
def IR(n): return [II() for _ in range(n)]
def LIR(n): return [LI() for _ in range(n)]
def FR(n): return [IF() for _ in range(n)]
def LFR(n): return [LI() for _ in range(n)]
def LIR_(n): return [LI_() for _ in range(n)]
def SR(n): return [S() for _ in range(n)]
def LSR(n): return [LS() for _ in range(n)]
mod = 1000000007
inf = float('INF')
#A
def A():
s = S()
m = II()
ans = ["I", "L", "M", "U"]
nu = 0
stack = []
bf = int(s[0])
for num,si in enumerate(s):
if si == "+":
bf += int(s[num+1])
elif si == "*":
bf *= int(s[num + 1])
if bf == m:
nu += 1
stack = []
bf = 0
for num, si in enumerate(s):
if si == "*":
s[num + 1] = int(s[num + 1]) * int(s[num - 1])
s[num - 1] = 0
for si in s:
if si != "*" and si != "+":
bf += int(si)
if bf == m:
nu += 2
print(ans[nu])
return
#B
def B():
n, m = LI()
cd = LIR(m)
dp = [0 for i in range(n+1)]
for c, d in cd:
dp[c] += 1
dp[d] -= 1
for i in range(n):
dp[i + 1] += dp[i]
ans = 0
flg = 0
for i in range(n):
if dp[i]:
ans += 3
elif flg:
flg = 0
ans += 3
else:
ans += 1
print(ans+1)
return
#C
def C():
return
#D
def D():
return
#E
def E():
return
#F
def F():
return
#G
def G():
return
#H
def H():
return
#Solve
if __name__ == '__main__':
B()
``` | output | 1 | 25,532 | 5 | 51,065 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
10 3
3 7
8 9
2 5
Output
23 | instruction | 0 | 25,533 | 5 | 51,066 |
"Correct Solution:
```
N, m = map(int, input().split())
v = [0]*N
for i in range(m):
c, d = map(int, input().split())
v[c-1] += 1
v[d-1] -= 1
s = 0; fst = 0
ans = N+1
for i in range(N):
if s == 0 and v[i] > 0:
fst = i
s += v[i]
if s == 0 and v[i] < 0:
ans += (i - fst)*2
print(ans)
``` | output | 1 | 25,533 | 5 | 51,067 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
10 3
3 7
8 9
2 5
Output
23 | instruction | 0 | 25,534 | 5 | 51,068 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 10**9+7
dd = [(0,-1),(1,0),(0,1),(-1,0)]
ddn = [(0,-1),(1,-1),(1,0),(1,1),(0,1),(-1,-1),(-1,0),(-1,1)]
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def main():
rr = []
while True:
n,m = LI()
if m == 0:
rr.append(n+1)
break
a = [LI() for _ in range(m)]
s = set()
for c,d in a:
s |= set(list(range(c,d)))
rr.append(n+1+len(s)*2)
break
return '\n'.join(map(str,rr))
print(main())
``` | output | 1 | 25,534 | 5 | 51,069 |
Provide a correct Python 3 solution for this coding contest problem.
Examples
Input
4 5 2
0 1 2 1
0 2 1 2
1 2 1 1
1 3 1 3
2 3 2 1
Output
6
Input
Output | instruction | 0 | 25,564 | 5 | 51,128 |
"Correct Solution:
```
import sys, re
from collections import deque, defaultdict, Counter
from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, gcd
from itertools import accumulate, permutations, combinations, product, groupby, combinations_with_replacement
from operator import itemgetter, mul
from copy import deepcopy
from string import ascii_lowercase, ascii_uppercase, digits
from bisect import bisect, bisect_left
from heapq import heappush, heappop
from functools import reduce
def input(): return sys.stdin.readline().strip()
def INT(): return int(input())
def MAP(): return map(int, input().split())
def LIST(): return list(map(int, input().split()))
def ZIP(n): return zip(*(MAP() for _ in range(n)))
sys.setrecursionlimit(10 ** 9)
INF = float('inf')
mod = 10 ** 9 + 7
class MinCostFlow:
def __init__(self, n):
self.n = n
self.g = [[] for i in range(n)]
def add_edge(self, fr, to, cap, cost):
G = self.g
G[fr].append([to, cap, cost, len(G[to])])
G[to].append([fr, 0, -cost, len(G[fr])-1])
def flow(self, s, t, f):
N = self.n
G = self.g
INF = 10**18
prevv = [0]*N
preve = [0]*N
res = 0
while f > 0:
dist = [INF]*N
dist[s] = 0
update = True
while update:
update = False
for v in range(N):
if dist[v] == INF: continue
for i in range(len(G[v])):
to, cap, cost, rev = G[v][i]
if cap > 0 and dist[to] > dist[v]+cost:
dist[to] = dist[v]+cost
prevv[to] = v
preve[to] = i
update = True
if dist[t] == INF:
return -1
d = f
v = t
while v != s:
d = min(d, G[prevv[v]][preve[v]][1])
v = prevv[v]
f -= d
res += d*dist[t]
v = t
while v != s:
e = G[prevv[v]][preve[v]]
e[1] -= d
G[v][e[3]][1] += d
v = prevv[v]
return res
V, E, F = MAP()
mcf = MinCostFlow(V)
for _ in range(E):
u, v, c, d = MAP()
mcf.add_edge(u, v, c, d)
print(mcf.flow(0, V-1, F))
``` | output | 1 | 25,564 | 5 | 51,129 |
Provide a correct Python 3 solution for this coding contest problem.
Examples
Input
4 5 2
0 1 2 1
0 2 1 2
1 2 1 1
1 3 1 3
2 3 2 1
Output
6
Input
Output | instruction | 0 | 25,565 | 5 | 51,130 |
"Correct Solution:
```
class MinCostFlow:
def __init__(self, n):
self.n = n
self.G = [[] for i in range(n)]
def addEdge(self, f, t, cap, cost):
# [to, cap, cost, rev]
self.G[f].append([t, cap, cost, len(self.G[t])])
self.G[t].append([f, 0, -cost, len(self.G[f])-1])
def minCostFlow(self, s, t, f):
n = self.n
G = self.G
prevv = [0]*n; preve = [0]*n
INF = 10**9+7
res = 0
while f:
dist = [INF]*n
dist[s] = 0
update = 1
while update:
update = 0
for v in range(n):
if dist[v] == INF:
continue
gv = G[v]
for i in range(len(gv)):
to, cap, cost, rev = gv[i]
if cap > 0 and dist[v] + cost < dist[to]:
dist[to] = dist[v] + cost
prevv[to] = v; preve[to] = i
update = 1
if dist[t] == INF:
return -1
d = f; v = t
while v != s:
d = min(d, G[prevv[v]][preve[v]][1])
v = prevv[v]
f -= d
res += d * dist[t]
v = t
while v != s:
e = G[prevv[v]][preve[v]]
e[1] -= d
G[v][e[3]][1] += d
v = prevv[v]
return res
n, m, f = map(int, input().split())
graph = MinCostFlow(n)
for i in range(m):
u, v, c, d = map(int, input().split())
graph.addEdge(u, v, c, d)
print(graph.minCostFlow(0, n-1, f))
``` | output | 1 | 25,565 | 5 | 51,131 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,597 | 5 | 51,194 |
Tags: math
Correct Solution:
```
n = int(input())
suma = (n*(n+1))//2
if(suma%2 == 0):
print(0)
else:
print(1)
``` | output | 1 | 25,597 | 5 | 51,195 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,598 | 5 | 51,196 |
Tags: math
Correct Solution:
```
n = int(input())
print((n + n // 2) & 1)
``` | output | 1 | 25,598 | 5 | 51,197 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,599 | 5 | 51,198 |
Tags: math
Correct Solution:
```
n=int(input())
if(n%4==3 or n%4==0):
print("0")
else:
print("1")
``` | output | 1 | 25,599 | 5 | 51,199 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,600 | 5 | 51,200 |
Tags: math
Correct Solution:
```
x = int(input())
y = 0
if (x % 2 == 0):
y = x//2 - 1
else:
y = x//2
if (y % 2 == 0):
print("1")
else:
print("0")
``` | output | 1 | 25,600 | 5 | 51,201 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,601 | 5 | 51,202 |
Tags: math
Correct Solution:
```
n=int(input())
summ=(n*(n+1))//2
print(summ%2)
``` | output | 1 | 25,601 | 5 | 51,203 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,602 | 5 | 51,204 |
Tags: math
Correct Solution:
```
n = int(input())
z = n%4
if(z==0 or z== 3 ):
print(0)
else:
print(1)
``` | output | 1 | 25,602 | 5 | 51,205 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,603 | 5 | 51,206 |
Tags: math
Correct Solution:
```
n = int(input())
n = n % 4
if n == 3 or n == 0:
print(0)
elif n == 2 or n == 1:
print(1)
``` | output | 1 | 25,603 | 5 | 51,207 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1. | instruction | 0 | 25,604 | 5 | 51,208 |
Tags: math
Correct Solution:
```
n=int(input())
p=n*(n+1)//2
if p%2==0:
print(0)
else:
print(1)
``` | output | 1 | 25,604 | 5 | 51,209 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
n = int(input())
if n % 4 in (3, 0):
print(0)
else:
print(1)
``` | instruction | 0 | 25,605 | 5 | 51,210 |
Yes | output | 1 | 25,605 | 5 | 51,211 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
number=int(input())
if number%2!=0:
number=number+1
if (number//2)%2==0:
print("0")
else:
print("1")
``` | instruction | 0 | 25,606 | 5 | 51,212 |
Yes | output | 1 | 25,606 | 5 | 51,213 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
n=int(input())
if n%2 !=0:
n+=1
n/=2
if n%2 == 0:
print(0)
else:
print(1)
``` | instruction | 0 | 25,607 | 5 | 51,214 |
Yes | output | 1 | 25,607 | 5 | 51,215 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
n=int(input())
if n%2==0:
if n%4==0:
print(0)
else:
print(1)
else:
x=n*(n+1)//2
if x%2==0:
print(0)
else:
print(1)
``` | instruction | 0 | 25,608 | 5 | 51,216 |
Yes | output | 1 | 25,608 | 5 | 51,217 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
n=int(input())
a = list(range(n))
del (a[0])
a.insert(n-1,n)
s=sum(a[:n-1])
mini=s-a[n-1]
print(mini)
for i in range(n-2,0,-1):
b=sum(a[:i])
q=sum(a[i:])
diff=abs(b-q)
if diff<mini:
mini=diff
print (mini)
``` | instruction | 0 | 25,609 | 5 | 51,218 |
No | output | 1 | 25,609 | 5 | 51,219 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
import math
N = int(input())
if N == 1:
print(1)
elif N % 4 == 0:
print(0)
else:
S = int(((1 + N) / 2 ) * N)
S2 = S / 2
N2 = math.ceil((-1 + math.sqrt(1 + 8 * S2)) / 2)
S3 = int(((1 + N2) / 2 ) * N2)
S4 = int(((2 * (N2 + 1) + (N - N2) - 1) / 2) * (N - N2))
if (S3 == S4):
print(0)
else:
D = abs(S3 - S4)
if (D % 2 == 1):
print(1)
else:
print(0)
``` | instruction | 0 | 25,610 | 5 | 51,220 |
No | output | 1 | 25,610 | 5 | 51,221 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
t=int(input())
n = t%4
print(n)
if(n==0 or n==3):
print(0)
else:
print(1)
``` | instruction | 0 | 25,611 | 5 | 51,222 |
No | output | 1 | 25,611 | 5 | 51,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer sequence 1, 2, ..., n. You have to divide it into two sets A and B in such a way that each element belongs to exactly one set and |sum(A) - sum(B)| is minimum possible.
The value |x| is the absolute value of x and sum(S) is the sum of elements of the set S.
Input
The first line of the input contains one integer n (1 ≤ n ≤ 2 ⋅ 10^9).
Output
Print one integer — the minimum possible value of |sum(A) - sum(B)| if you divide the initial sequence 1, 2, ..., n into two sets A and B.
Examples
Input
3
Output
0
Input
5
Output
1
Input
6
Output
1
Note
Some (not all) possible answers to examples:
In the first example you can divide the initial sequence into sets A = \{1, 2\} and B = \{3\} so the answer is 0.
In the second example you can divide the initial sequence into sets A = \{1, 3, 4\} and B = \{2, 5\} so the answer is 1.
In the third example you can divide the initial sequence into sets A = \{1, 4, 5\} and B = \{2, 3, 6\} so the answer is 1.
Submitted Solution:
```
#%% 1102a Sequence dividing
n = int(input())
a,b = [1],[n]
for elem in range(2,n):
a,b = [a+[elem],a][sum(a)>=sum(b)],[b+[elem],b][sum(b)>sum(a)]
print(abs(sum(a) - sum(b)))
``` | instruction | 0 | 25,612 | 5 | 51,224 |
No | output | 1 | 25,612 | 5 | 51,225 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,309 | 5 | 52,618 |
"Correct Solution:
```
n,m,d=map(int,input().split())
print(min(2,1+d)*(m-1)*(n-d)/(n**2))
``` | output | 1 | 26,309 | 5 | 52,619 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,310 | 5 | 52,620 |
"Correct Solution:
```
n,m,d=map(int,input().split())
if d==0:
k=1
else:
k=2
print(k*(n-d)*(m-1)/(n**2))
``` | output | 1 | 26,310 | 5 | 52,621 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,311 | 5 | 52,622 |
"Correct Solution:
```
n,m,d=map(int,input().split())
k=n if d==0 else 2*(n-d)
ans=(k/n**2)*(m-1)
print(ans)
``` | output | 1 | 26,311 | 5 | 52,623 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,312 | 5 | 52,624 |
"Correct Solution:
```
n, m, d = map(int, input().split())
if d == 0:
print(1/n * (m-1))
else:
print((2*(n-d)/n**2) * (m-1))
``` | output | 1 | 26,312 | 5 | 52,625 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,313 | 5 | 52,626 |
"Correct Solution:
```
n,m,d=map(int,input().split())
if d==0:
print((m-1)/n)
else:
print((m-1)*(2*(n-d))/(n*n))
``` | output | 1 | 26,313 | 5 | 52,627 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,314 | 5 | 52,628 |
"Correct Solution:
```
n,m,d = (int(i) for i in input().split())
if d== 0:
print((m-1)/n)
else:
print(2*(n-d)*(m-1)/n**2)
``` | output | 1 | 26,314 | 5 | 52,629 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,315 | 5 | 52,630 |
"Correct Solution:
```
n,m,d = map(int, input().split())
print(((n-d)*2 if d else n)*(m-1)/n**2)
``` | output | 1 | 26,315 | 5 | 52,631 |
Provide a correct Python 3 solution for this coding contest problem.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060 | instruction | 0 | 26,316 | 5 | 52,632 |
"Correct Solution:
```
n, m, d = map(int, input().split())
ans = (n-d)*2*(m-1)/n/n
print(ans if d else ans/2)
``` | output | 1 | 26,316 | 5 | 52,633 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060
Submitted Solution:
```
n,m,d=map(int,input().split())
print((2*(n-d)/n**2 if d!=0 else 1/n)*(m-1))
``` | instruction | 0 | 26,317 | 5 | 52,634 |
Yes | output | 1 | 26,317 | 5 | 52,635 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060
Submitted Solution:
```
n, m, d = map(int, input().split())
if d != 0:
print(2*(n-d)*(m-1)/(n*n))
elif d == 0:
print((m-1)/n)
``` | instruction | 0 | 26,318 | 5 | 52,636 |
Yes | output | 1 | 26,318 | 5 | 52,637 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060
Submitted Solution:
```
n,m,d=map(int,input().split())
if d==0:
p=1/n
else:
p=2*(n-d)/n**2
print((m-1)*p)
``` | instruction | 0 | 26,319 | 5 | 52,638 |
Yes | output | 1 | 26,319 | 5 | 52,639 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060
Submitted Solution:
```
n,m,d=map(int,input().split())
if d==0:
print((n-d)*(m-1)/(n**2))
else:
print((2*(n-d)*(m-1))/(n**2))
``` | instruction | 0 | 26,320 | 5 | 52,640 |
Yes | output | 1 | 26,320 | 5 | 52,641 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060
Submitted Solution:
```
n,m,d = [int(i) for i in input().split()]
X = 2*(n-d)
ans = X*(2*n)**(m-2)/(n**m)
print(ans)
``` | instruction | 0 | 26,321 | 5 | 52,642 |
No | output | 1 | 26,321 | 5 | 52,643 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060
Submitted Solution:
```
n, m, d = map(int, input().split())
if d != 0:
S = 2 * (n - d)
M = S / n
else:
M = m / n
print(M)
``` | instruction | 0 | 26,322 | 5 | 52,644 |
No | output | 1 | 26,322 | 5 | 52,645 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let us define the beauty of a sequence (a_1,... ,a_n) as the number of pairs of two adjacent elements in it whose absolute differences are d. For example, when d=1, the beauty of the sequence (3, 2, 3, 10, 9) is 3.
There are a total of n^m sequences of length m where each element is an integer between 1 and n (inclusive). Find the beauty of each of these n^m sequences, and print the average of those values.
Constraints
* 0 \leq d < n \leq 10^9
* 2 \leq m \leq 10^9
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
n m d
Output
Print the average of the beauties of the sequences of length m where each element is an integer between 1 and n. The output will be judged correct if the absolute or relative error is at most 10^{-6}.
Examples
Input
2 3 1
Output
1.0000000000
Input
1000000000 180707 0
Output
0.0001807060
Submitted Solution:
```
n, m, d = [int(i) for i in input().split()]
p = n
if d >= 1:
p = (len(range(1, n + 1, d)) - 1) * 2 * (n - d)
ans = p * (m - 1) / (n ** 2)
print(ans)
``` | instruction | 0 | 26,323 | 5 | 52,646 |
No | output | 1 | 26,323 | 5 | 52,647 |
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