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 |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have a digit sequence S of length 4. You are wondering which of the following formats S is in:
* YYMM format: the last two digits of the year and the two-digit representation of the month (example: `01` for January), concatenated in this order
* MMYY format: the two-digit representation of the month and the last two digits of the year, concatenated in this order
If S is valid in only YYMM format, print `YYMM`; if S is valid in only MMYY format, print `MMYY`; if S is valid in both formats, print `AMBIGUOUS`; if S is valid in neither format, print `NA`.
Constraints
* S is a digit sequence of length 4.
Input
Input is given from Standard Input in the following format:
S
Output
Print the specified string: `YYMM`, `MMYY`, `AMBIGUOUS` or `NA`.
Examples
Input
1905
Output
YYMM
Input
0112
Output
AMBIGUOUS
Input
1700
Output
NA
Submitted Solution:
```
s = input()
a, b = int(s[:2]), int(s[2:])
yymm, mmyy = 0, 0
if 1<=a<=12 and 1<=b<=12:
print('AMBIGUOUS')
elif a>12 and 1<=b<=12:
print('YYMM')
elif 1<=a<=12 and b>12:
print('MMYY')
else:
print('NA')
``` | instruction | 0 | 20,081 | 5 | 40,162 |
No | output | 1 | 20,081 | 5 | 40,163 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,098 | 5 | 40,196 |
"Correct Solution:
```
N=input()
if int(N)%10==0:
print(10)
else:
ans = 0
for i in range(len(N)):
ans+= int(N[i])
print(ans)
``` | output | 1 | 20,098 | 5 | 40,197 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,099 | 5 | 40,198 |
"Correct Solution:
```
n = input()
if int(n) % 10 == 0:
print(10)
else:
res = 0
for i in n:
res += int(i)
print(res)
``` | output | 1 | 20,099 | 5 | 40,199 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,100 | 5 | 40,200 |
"Correct Solution:
```
n = int(input())
print(min([sum(map(int, str(i) + str(n - i))) for i in range(1, n // 2 + 1)]))
``` | output | 1 | 20,100 | 5 | 40,201 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,101 | 5 | 40,202 |
"Correct Solution:
```
N=list(input())
ans=0
for x in N:
x=int(x)
if x%2==1:
ans+=1
ans+=(x//2)*2
if ans==1:
print(10)
else:
print(ans)
``` | output | 1 | 20,101 | 5 | 40,203 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,102 | 5 | 40,204 |
"Correct Solution:
```
s=sum(map(int,input()));print(s*(s!=1)or 10)
``` | output | 1 | 20,102 | 5 | 40,205 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,103 | 5 | 40,206 |
"Correct Solution:
```
n=input()
ans=0
for i in range(len(n)):
ans+=int(n[i])
if ans==int(n[0]) and len(n)>=2:
ans+=9
print(ans)
``` | output | 1 | 20,103 | 5 | 40,207 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,104 | 5 | 40,208 |
"Correct Solution:
```
N = int(input())
print(min([sum([ord(c) - 48 for c in str(A)]) + sum([ord(c) - 48 for c in str(N - A)]) for A in range(1, N)]))
``` | output | 1 | 20,104 | 5 | 40,209 |
Provide a correct Python 3 solution for this coding contest problem.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10 | instruction | 0 | 20,105 | 5 | 40,210 |
"Correct Solution:
```
N=input()
ans=0
for n in N:
ans+=int(n)
if ans==1:
ans=10
print(ans)
``` | output | 1 | 20,105 | 5 | 40,211 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
n=int(input())
if n in [10,100,1000,10000,100000]:
print(10)
else:
x=str(n)
ans=0
for i in x:
ans+=int(i)
print(ans)
``` | instruction | 0 | 20,106 | 5 | 40,212 |
Yes | output | 1 | 20,106 | 5 | 40,213 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
N = input()
if N[0] == "1" and int(N[1:]) == 0:
print(10)
else:
print(sum(list(map(int, list(N)))))
``` | instruction | 0 | 20,107 | 5 | 40,214 |
Yes | output | 1 | 20,107 | 5 | 40,215 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
N = int(input())
ans = 0
while N > 0:
ans += N%10
N //= 10
if ans == 1:
print(10)
else:
print(ans)
``` | instruction | 0 | 20,108 | 5 | 40,216 |
Yes | output | 1 | 20,108 | 5 | 40,217 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
n=int(input())
ans=sum(int(i) for i in str(n))
while n%10==0:
n//=10
print(10 if n==1 else ans)
``` | instruction | 0 | 20,109 | 5 | 40,218 |
Yes | output | 1 | 20,109 | 5 | 40,219 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
N=int(input())
Ans=N%10+(N%100)//10+(N%1000)//100+(N%10000)//1000+(N%100000)//10000
if Ans==0:
Ans=10
print(Ans)
``` | instruction | 0 | 20,110 | 5 | 40,220 |
No | output | 1 | 20,110 | 5 | 40,221 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
n=input()
print(sum([int(i) for i in n])
``` | instruction | 0 | 20,111 | 5 | 40,222 |
No | output | 1 | 20,111 | 5 | 40,223 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
import sys
from functools import reduce
n = int(input())
def count(i):
n = 0
j = i
while 0 < j:
n = n + j % 10
j = j // 10
return n
s = 91
for i in range(2,n):
s2 = count(i) + count(n - i)
if s2 < s:
s = s2
print(s)
``` | instruction | 0 | 20,112 | 5 | 40,224 |
No | output | 1 | 20,112 | 5 | 40,225 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Takahashi has two positive integers A and B.
It is known that A plus B equals N. Find the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B" (in base 10).
Constraints
* 2 ≤ N ≤ 10^5
* N is an integer.
Input
Input is given from Standard Input in the following format:
N
Output
Print the minimum possible value of "the sum of the digits of A" plus "the sum of the digits of B".
Examples
Input
15
Output
6
Input
100000
Output
10
Submitted Solution:
```
# -*- coding: utf-8 -*-
def get_digits_sum(val_str):
digits_sum = 0
for i in range(len(val_str)):
digits_sum += int(val_str[i])
return digits_sum
N = int(input())
for i in range(2, N, 1):
A = i
B = N - i
a_sum = get_digits_sum(str(A))
b_sum = get_digits_sum(str(B))
if i==2:
sum_min = a_sum + b_sum
elif sum_min > a_sum + b_sum:
sum_min = a_sum + b_sum
print(sum_min)
``` | instruction | 0 | 20,113 | 5 | 40,226 |
No | output | 1 | 20,113 | 5 | 40,227 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a circle. The i-th box contains A_i stones.
Determine whether it is possible to remove all the stones from the boxes by repeatedly performing the following operation:
* Select one box. Let the box be the i-th box. Then, for each j from 1 through N, remove exactly j stones from the (i+j)-th box. Here, the (N+k)-th box is identified with the k-th box.
Note that the operation cannot be performed if there is a box that does not contain enough number of stones to be removed.
Constraints
* 1 ≦ N ≦ 10^5
* 1 ≦ A_i ≦ 10^9
Input
The input is given from Standard Input in the following format:
N
A_1 A_2 … A_N
Output
If it is possible to remove all the stones from the boxes, print `YES`. Otherwise, print `NO`.
Examples
Input
5
4 5 1 2 3
Output
YES
Input
5
6 9 12 10 8
Output
YES
Input
4
1 2 3 1
Output
NO
Submitted Solution:
```
N = int(input())
A = list(map(int, input().split()))
s = sum(A)
K = s // (N * (N + 1) // 2)
if N == 1:
print("YES")
exit()
if s % (N * (N + 1) // 2) != 0:
print("NO")
exit()
d = [0] * (N - 1)
for i in range(N - 1):
d[i] = A[i + 1] - A[i] - K
for i in range(N - 1):
if d[i] > 0 or abs(d[i]) % N != 0:
print("NO")
exit()
print("YES")
``` | instruction | 0 | 20,157 | 5 | 40,314 |
Yes | output | 1 | 20,157 | 5 | 40,315 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N boxes arranged in a circle. The i-th box contains A_i stones.
Determine whether it is possible to remove all the stones from the boxes by repeatedly performing the following operation:
* Select one box. Let the box be the i-th box. Then, for each j from 1 through N, remove exactly j stones from the (i+j)-th box. Here, the (N+k)-th box is identified with the k-th box.
Note that the operation cannot be performed if there is a box that does not contain enough number of stones to be removed.
Constraints
* 1 ≦ N ≦ 10^5
* 1 ≦ A_i ≦ 10^9
Input
The input is given from Standard Input in the following format:
N
A_1 A_2 … A_N
Output
If it is possible to remove all the stones from the boxes, print `YES`. Otherwise, print `NO`.
Examples
Input
5
4 5 1 2 3
Output
YES
Input
5
6 9 12 10 8
Output
YES
Input
4
1 2 3 1
Output
NO
Submitted Solution:
```
n = int(input())
a = list(map(int, input().split()))
k = sum(a) // (n*(n+1)//2)
if n*(n+1)*k // 2 != sum(a):
print('NO'); exit(0)
b = [a[i] - a[i-1] - k for i in range(n)]
for x in b:
if x%n: print('NO'); break
else:
print('YES')
``` | instruction | 0 | 20,159 | 5 | 40,318 |
No | output | 1 | 20,159 | 5 | 40,319 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
n, x, y = input().split()
n=int(n)
x=int(x)
y=int(y)
a = y-n+1
if a<=0:
print(-1)
else:
if a**2 + n - 1 >= x:
print(a)
for i in range(n-1):
print(1)
else:
print(-1)
``` | instruction | 0 | 20,342 | 5 | 40,684 |
Yes | output | 1 | 20,342 | 5 | 40,685 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
z=list(map(int,input().split()))
n=z[0]
x=z[1]
y=z[2]
if (y-n+1)>0 and x<=(y-n+1)**2+(n-1):
for i in range(n-1):
print('1')
print(y-(n-1))
else:
print("-1")
``` | instruction | 0 | 20,343 | 5 | 40,686 |
Yes | output | 1 | 20,343 | 5 | 40,687 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
n,x,y=[int(p) for p in input().split()]
if n>y or (y-n+1)**2 + n - 1<x:
print(-1)
else:
for i in range(n):
print((y-n+1)*(i==0)+(i!=0))
``` | instruction | 0 | 20,344 | 5 | 40,688 |
Yes | output | 1 | 20,344 | 5 | 40,689 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
n,x,y=list(map(int,input().split()))
if (y-n+1)>0 and x<=(y-n+1)**2+(n-1):
for i in range(n-1): print(1)
print(y-n+1)
else:print(-1)
``` | instruction | 0 | 20,345 | 5 | 40,690 |
Yes | output | 1 | 20,345 | 5 | 40,691 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
z=list(map(int,input().split()))
n=z[0]
x=z[1]
y=z[2]
if x<=n or y<=n:
print("-1")
elif n==1:
print(y)
else:
for i in range(1,n):
print('1')
print(y-(n-1))
``` | instruction | 0 | 20,346 | 5 | 40,692 |
No | output | 1 | 20,346 | 5 | 40,693 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
z=list(map(int,input().split()))
n=z[0]
x=z[1]
y=z[2]
if x > (n*(n+1)*(2*n+1))/6 or y < (n*(n+1))/2:
print("-1")
else:
for i in range(n-1):
print('1')
print(y-(n-1))
``` | instruction | 0 | 20,347 | 5 | 40,694 |
No | output | 1 | 20,347 | 5 | 40,695 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
z=list(map(int,input().split()))
n=z[0]
x=z[1]
y=z[2]
if x<=n or y<=n:
print("-1")
else:
for i in range(n-1):
print('1')
print(y-(n-1))
``` | instruction | 0 | 20,348 | 5 | 40,696 |
No | output | 1 | 20,348 | 5 | 40,697 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Little Petya loves inequations. Help him find n positive integers a1, a2, ..., an, such that the following two conditions are satisfied:
* a12 + a22 + ... + an2 ≥ x
* a1 + a2 + ... + an ≤ y
Input
The first line contains three space-separated integers n, x and y (1 ≤ n ≤ 105, 1 ≤ x ≤ 1012, 1 ≤ y ≤ 106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator.
Output
Print n positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them.
Examples
Input
5 15 15
Output
4
4
1
1
2
Input
2 3 2
Output
-1
Input
1 99 11
Output
11
Submitted Solution:
```
n, x, y = map(int, input().split())
if (n - 1 + (y - n + 1) ** 2 >= x):
print('1\n'* (n - 1), str(y - n + 1))
else:
print(-1)
``` | instruction | 0 | 20,349 | 5 | 40,698 |
No | output | 1 | 20,349 | 5 | 40,699 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Fibonacci numbers have the following form:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2, i > 2.
Let's consider some non-empty set S = {s1, s2, ..., sk}, consisting of different Fibonacci numbers. Let's find the sum of values of this set's elements:
<image>
Let's call the set S a number n's decomposition into Fibonacci sum.
It's easy to see that several numbers have several decompositions into Fibonacci sum. For example, for 13 we have 13, 5 + 8, 2 + 3 + 8 — three decompositions, and for 16: 3 + 13, 1 + 2 + 13, 3 + 5 + 8, 1 + 2 + 5 + 8 — four decompositions.
By the given number n determine the number of its possible different decompositions into Fibonacci sum.
Input
The first line contains an integer t — the number of tests (1 ≤ t ≤ 105). Each of the following t lines contains one test.
Each test is an integer n (1 ≤ n ≤ 1018).
Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
For each input data test print a single number on a single line — the answer to the problem.
Examples
Input
2
13
16
Output
3
4
Note
Two decompositions are different if there exists a number that is contained in the first decomposition, but is not contained in the second one. Decompositions that differ only in the order of summands are considered equal.
Submitted Solution:
```
M = 2
fib = [1, 2]
sumfib = [0, 1, 3]
dic = {1: 1, 2: 1}
while True:
if fib[M-1] + fib[M-2] > 1000000000000000000:
break
fib.append(fib[M-1] + fib[M-2])
sumfib.append(sumfib[M] + fib[M])
M = M + 1
mark = [0] * M
def bktk(p, n, cnt):
#print('p:', p, 'n:', n, 'cnt:', cnt)
if n == 0:
mark[cnt] = 1
return
if p >= M:
return
if sumfib[M] - sumfib[p] < n:
return
if fib[p] > n:
return
bktk(p+1, n, cnt)
bktk(p+1, n - fib[p], cnt+1)
t = int(input())
while t > 0:
N = int(input())
for i in mark:
i = 0
ans = 0
bktk(0, N, 0)
for i in mark:
if i == 1:
ans = ans+1
dic[N] = ans
"""
if N not in dic:
bktk(0, N, 0)
for i in mark:
if i == 1:
ans = ans+1
dic[N] = ans
ans = dic[N]
"""
print(ans)
t = t - 1
``` | instruction | 0 | 20,373 | 5 | 40,746 |
No | output | 1 | 20,373 | 5 | 40,747 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Fibonacci numbers have the following form:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2, i > 2.
Let's consider some non-empty set S = {s1, s2, ..., sk}, consisting of different Fibonacci numbers. Let's find the sum of values of this set's elements:
<image>
Let's call the set S a number n's decomposition into Fibonacci sum.
It's easy to see that several numbers have several decompositions into Fibonacci sum. For example, for 13 we have 13, 5 + 8, 2 + 3 + 8 — three decompositions, and for 16: 3 + 13, 1 + 2 + 13, 3 + 5 + 8, 1 + 2 + 5 + 8 — four decompositions.
By the given number n determine the number of its possible different decompositions into Fibonacci sum.
Input
The first line contains an integer t — the number of tests (1 ≤ t ≤ 105). Each of the following t lines contains one test.
Each test is an integer n (1 ≤ n ≤ 1018).
Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
For each input data test print a single number on a single line — the answer to the problem.
Examples
Input
2
13
16
Output
3
4
Note
Two decompositions are different if there exists a number that is contained in the first decomposition, but is not contained in the second one. Decompositions that differ only in the order of summands are considered equal.
Submitted Solution:
```
M = 2
fib = [1, 2]
sumfib = [0, 1, 3]
dic = {1: 1, 2: 1}
while True:
if fib[M-1] + fib[M-2] > 1000000000000000000:
break
fib.append(fib[M-1] + fib[M-2])
sumfib.append(sumfib[M] + fib[M])
M = M + 1
mark = [0] * M
def bktk(p, n, cnt):
#print('p:', p, 'n:', n, 'cnt:', cnt)
if n == 0:
mark[cnt] = 1
return
if p >= M:
return
if sumfib[M] - sumfib[p] < n:
return
if fib[p] > n:
return
bktk(p+1, n, cnt)
bktk(p+1, n - fib[p], cnt+1)
t = int(input())
while t > 0:
N = int(input())
for i in mark:
i = 0
ans = 0
if N not in dic:
bktk(0, N, 0)
for i in mark:
if i == 1:
ans = ans+1
dic[N] = ans
ans = dic[N]
print(ans)
t = t - 1
``` | instruction | 0 | 20,374 | 5 | 40,748 |
No | output | 1 | 20,374 | 5 | 40,749 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Fibonacci numbers have the following form:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2, i > 2.
Let's consider some non-empty set S = {s1, s2, ..., sk}, consisting of different Fibonacci numbers. Let's find the sum of values of this set's elements:
<image>
Let's call the set S a number n's decomposition into Fibonacci sum.
It's easy to see that several numbers have several decompositions into Fibonacci sum. For example, for 13 we have 13, 5 + 8, 2 + 3 + 8 — three decompositions, and for 16: 3 + 13, 1 + 2 + 13, 3 + 5 + 8, 1 + 2 + 5 + 8 — four decompositions.
By the given number n determine the number of its possible different decompositions into Fibonacci sum.
Input
The first line contains an integer t — the number of tests (1 ≤ t ≤ 105). Each of the following t lines contains one test.
Each test is an integer n (1 ≤ n ≤ 1018).
Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
For each input data test print a single number on a single line — the answer to the problem.
Examples
Input
2
13
16
Output
3
4
Note
Two decompositions are different if there exists a number that is contained in the first decomposition, but is not contained in the second one. Decompositions that differ only in the order of summands are considered equal.
Submitted Solution:
```
import sys,bisect as bi
input = sys.stdin.readline
I = lambda : list(map(int,input().split()))
#Fibonacci Sums
n,=I()
fi=[1,2]
an=[1,1]
for i in range(82):
fi.append(fi[-1]+fi[-2])
cr=2
for i in range(82):
an.append(cr)
if i%2:
cr+=1
#print(fi[:20])
for _ in range(n):
x,=I()
te=x
cr=82;ar=[]
ans=1;pr=0
while cr>=3:
cr=bi.bisect(fi,te)
if pr:
ans*=(pr-cr+1)//2
#print(pr,cr)
if cr>0:
ar.append(fi[cr-1])
te-=fi[cr-1]
pr=cr
#print(_,x,cr,ar)
print(ans)
``` | instruction | 0 | 20,375 | 5 | 40,750 |
No | output | 1 | 20,375 | 5 | 40,751 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Fibonacci numbers have the following form:
F1 = 1, F2 = 2, Fi = Fi - 1 + Fi - 2, i > 2.
Let's consider some non-empty set S = {s1, s2, ..., sk}, consisting of different Fibonacci numbers. Let's find the sum of values of this set's elements:
<image>
Let's call the set S a number n's decomposition into Fibonacci sum.
It's easy to see that several numbers have several decompositions into Fibonacci sum. For example, for 13 we have 13, 5 + 8, 2 + 3 + 8 — three decompositions, and for 16: 3 + 13, 1 + 2 + 13, 3 + 5 + 8, 1 + 2 + 5 + 8 — four decompositions.
By the given number n determine the number of its possible different decompositions into Fibonacci sum.
Input
The first line contains an integer t — the number of tests (1 ≤ t ≤ 105). Each of the following t lines contains one test.
Each test is an integer n (1 ≤ n ≤ 1018).
Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.
Output
For each input data test print a single number on a single line — the answer to the problem.
Examples
Input
2
13
16
Output
3
4
Note
Two decompositions are different if there exists a number that is contained in the first decomposition, but is not contained in the second one. Decompositions that differ only in the order of summands are considered equal.
Submitted Solution:
```
a = input()
numbers = []
for i in range(int(a)):
numbers.append(int(input()))
print(3)
print(4)
``` | instruction | 0 | 20,376 | 5 | 40,752 |
No | output | 1 | 20,376 | 5 | 40,753 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Your task is to calculate the number of arrays such that:
* each array contains n elements;
* each element is an integer from 1 to m;
* for each array, there is exactly one pair of equal elements;
* for each array a, there exists an index i such that the array is strictly ascending before the i-th element and strictly descending after it (formally, it means that a_j < a_{j + 1}, if j < i, and a_j > a_{j + 1}, if j ≥ i).
Input
The first line contains two integers n and m (2 ≤ n ≤ m ≤ 2 ⋅ 10^5).
Output
Print one integer — the number of arrays that meet all of the aforementioned conditions, taken modulo 998244353.
Examples
Input
3 4
Output
6
Input
3 5
Output
10
Input
42 1337
Output
806066790
Input
100000 200000
Output
707899035
Note
The arrays in the first example are:
* [1, 2, 1];
* [1, 3, 1];
* [1, 4, 1];
* [2, 3, 2];
* [2, 4, 2];
* [3, 4, 3].
Submitted Solution:
```
def fast_pow(base, power, modulo):
if power == 0:
return 1
if power % 2 == 1:
return (fast_pow(base, power-1, modulo)*base) % modulo
else:
b = fast_pow(base, power//2, modulo)
return (b * b) % modulo
def get_inverse(x, modulo):
return fast_pow(x, modulo - 2, modulo)
n, m = map(int, input().split())
if m < n - 1 or n == 2:
print(0)
exit(0)
c = 1
mod = 998244353
sum = 0
for maxx in range(n - 1, m + 1):
sum += c
#sum = sum % mod;
c = (c * maxx * get_inverse(maxx - (n-2), mod)) % mod
#print(sum % mod)
sum = sum * (n - 2) % mod
for i in range(0, n-3):
sum *= 2
sum = sum % mod
print(sum % mod)
``` | instruction | 0 | 20,398 | 5 | 40,796 |
Yes | output | 1 | 20,398 | 5 | 40,797 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A long time ago in some far country lived king Copa. After the recent king's reform, he got so large powers that started to keep the books by himself.
The total income A of his kingdom during 0-th year is known, as well as the total income B during n-th year (these numbers can be negative — it means that there was a loss in the correspondent year).
King wants to show financial stability. To do this, he needs to find common coefficient X — the coefficient of income growth during one year. This coefficient should satisfy the equation:
A·Xn = B.
Surely, the king is not going to do this job by himself, and demands you to find such number X.
It is necessary to point out that the fractional numbers are not used in kingdom's economy. That's why all input numbers as well as coefficient X must be integers. The number X may be zero or negative.
Input
The input contains three integers A, B, n (|A|, |B| ≤ 1000, 1 ≤ n ≤ 10).
Output
Output the required integer coefficient X, or «No solution», if such a coefficient does not exist or it is fractional. If there are several possible solutions, output any of them.
Examples
Input
2 18 2
Output
3
Input
-1 8 3
Output
-2
Input
0 0 10
Output
5
Input
1 16 5
Output
No solution
Submitted Solution:
```
n,m,k = map(int,input().split())
for i in range(-1101,1100):
if n*(i**k)==m:
print(i)
exit()
print("No solution")
``` | instruction | 0 | 20,620 | 5 | 41,240 |
Yes | output | 1 | 20,620 | 5 | 41,241 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A long time ago in some far country lived king Copa. After the recent king's reform, he got so large powers that started to keep the books by himself.
The total income A of his kingdom during 0-th year is known, as well as the total income B during n-th year (these numbers can be negative — it means that there was a loss in the correspondent year).
King wants to show financial stability. To do this, he needs to find common coefficient X — the coefficient of income growth during one year. This coefficient should satisfy the equation:
A·Xn = B.
Surely, the king is not going to do this job by himself, and demands you to find such number X.
It is necessary to point out that the fractional numbers are not used in kingdom's economy. That's why all input numbers as well as coefficient X must be integers. The number X may be zero or negative.
Input
The input contains three integers A, B, n (|A|, |B| ≤ 1000, 1 ≤ n ≤ 10).
Output
Output the required integer coefficient X, or «No solution», if such a coefficient does not exist or it is fractional. If there are several possible solutions, output any of them.
Examples
Input
2 18 2
Output
3
Input
-1 8 3
Output
-2
Input
0 0 10
Output
5
Input
1 16 5
Output
No solution
Submitted Solution:
```
a,b,n=map(int,input().split())
flag=0
for i in range(-1000,1001):
if a*i**n==b:
print(i)
flag=1
break
if flag==0:
print("No solution")
``` | instruction | 0 | 20,621 | 5 | 41,242 |
Yes | output | 1 | 20,621 | 5 | 41,243 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
A long time ago in some far country lived king Copa. After the recent king's reform, he got so large powers that started to keep the books by himself.
The total income A of his kingdom during 0-th year is known, as well as the total income B during n-th year (these numbers can be negative — it means that there was a loss in the correspondent year).
King wants to show financial stability. To do this, he needs to find common coefficient X — the coefficient of income growth during one year. This coefficient should satisfy the equation:
A·Xn = B.
Surely, the king is not going to do this job by himself, and demands you to find such number X.
It is necessary to point out that the fractional numbers are not used in kingdom's economy. That's why all input numbers as well as coefficient X must be integers. The number X may be zero or negative.
Input
The input contains three integers A, B, n (|A|, |B| ≤ 1000, 1 ≤ n ≤ 10).
Output
Output the required integer coefficient X, or «No solution», if such a coefficient does not exist or it is fractional. If there are several possible solutions, output any of them.
Examples
Input
2 18 2
Output
3
Input
-1 8 3
Output
-2
Input
0 0 10
Output
5
Input
1 16 5
Output
No solution
Submitted Solution:
```
import sys
import math
a,b,n = map(int,input().split())
if a>0 and b>0 or a<0 and b<0:
x = (b/a)**(1/n)
elif a<0 or b<0 and a!=0:
x = (abs(b)/abs(a))**(1/n)
if int(x) == x:
x -= 2*x
print(int(x))
quit()
elif a==0 and b == 0:
print(5)
quit()
if a==0 or b==0:
x = 2.5
if int(x) == x:
print(int(x))
else:
print("No solution")
``` | instruction | 0 | 20,626 | 5 | 41,252 |
No | output | 1 | 20,626 | 5 | 41,253 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n points on a line with their coordinates xi. Find the point x so the sum of distances to the given points is minimal.
Input
The first line contains integer n (1 ≤ n ≤ 3·105) — the number of points on the line.
The second line contains n integers xi ( - 109 ≤ xi ≤ 109) — the coordinates of the given n points.
Output
Print the only integer x — the position of the optimal point on the line. If there are several optimal points print the position of the leftmost one. It is guaranteed that the answer is always the integer.
Example
Input
4
1 2 3 4
Output
2
Submitted Solution:
```
n = int(input())
A = sorted([int(x) for x in input().split()])
print(A[(len(A) - 1) // 2])
``` | instruction | 0 | 20,776 | 5 | 41,552 |
Yes | output | 1 | 20,776 | 5 | 41,553 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n points on a line with their coordinates xi. Find the point x so the sum of distances to the given points is minimal.
Input
The first line contains integer n (1 ≤ n ≤ 3·105) — the number of points on the line.
The second line contains n integers xi ( - 109 ≤ xi ≤ 109) — the coordinates of the given n points.
Output
Print the only integer x — the position of the optimal point on the line. If there are several optimal points print the position of the leftmost one. It is guaranteed that the answer is always the integer.
Example
Input
4
1 2 3 4
Output
2
Submitted Solution:
```
#import sys
#sys.stdin = open('in', 'r')
n = int(input())
a = sorted([int(x) for x in input().split()])
#n,m = map(int, input().split())
print(a[(n-1)//2])
``` | instruction | 0 | 20,777 | 5 | 41,554 |
Yes | output | 1 | 20,777 | 5 | 41,555 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
N = int(input())
print(N//2 + 1)
``` | instruction | 0 | 20,906 | 5 | 41,812 |
Yes | output | 1 | 20,906 | 5 | 41,813 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
n = int(input())
res = 1 + n//2
print(res)
``` | instruction | 0 | 20,907 | 5 | 41,814 |
Yes | output | 1 | 20,907 | 5 | 41,815 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
a = 1
b = 2
c = 3
d = 5
q = 2
n = int(input())
print(int(n/2+1))
``` | instruction | 0 | 20,908 | 5 | 41,816 |
Yes | output | 1 | 20,908 | 5 | 41,817 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
import math
n = int(input())
print (n//2+1)
``` | instruction | 0 | 20,909 | 5 | 41,818 |
Yes | output | 1 | 20,909 | 5 | 41,819 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
def split(n):
if n == 1:
return 1
else:
x = 1
i = 2
j = int((n+1)//2)
while i < n+1:
if j < 2:
if (n - i*j < j) and (n - i*j > -1):
x += 1
i += 1
j = (n+1)//2
elif j == 0:
i += 1
j = (n+1)//2
else:
j -= 1
else:
if (n - i*j > -1):
x += 1
i += 1
j = (n+1)//2
elif j == 0:
i += 1
j = (n+1)//2
else:
j -= 1
print(x)
n = input()
n = int(n)
split(n)
``` | instruction | 0 | 20,910 | 5 | 41,820 |
No | output | 1 | 20,910 | 5 | 41,821 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
import math
n = int(input())
s = []
s.append(n)
m = 0
while (m <= n):
m += 2
s.append(math.floor(n/m))
print(len(set(s)))
``` | instruction | 0 | 20,911 | 5 | 41,822 |
No | output | 1 | 20,911 | 5 | 41,823 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
inp = int(input())
print((inp/2)+1)
``` | instruction | 0 | 20,912 | 5 | 41,824 |
No | output | 1 | 20,912 | 5 | 41,825 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let's define a split of n as a nonincreasing sequence of positive integers, the sum of which is n.
For example, the following sequences are splits of 8: [4, 4], [3, 3, 2], [2, 2, 1, 1, 1, 1], [5, 2, 1].
The following sequences aren't splits of 8: [1, 7], [5, 4], [11, -3], [1, 1, 4, 1, 1].
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split [1, 1, 1, 1, 1] is 5, the weight of the split [5, 5, 3, 3, 3] is 2 and the weight of the split [9] equals 1.
For a given n, find out the number of different weights of its splits.
Input
The first line contains one integer n (1 ≤ n ≤ 10^9).
Output
Output one integer — the answer to the problem.
Examples
Input
7
Output
4
Input
8
Output
5
Input
9
Output
5
Note
In the first sample, there are following possible weights of splits of 7:
Weight 1: [\textbf 7]
Weight 2: [\textbf 3, \textbf 3, 1]
Weight 3: [\textbf 2, \textbf 2, \textbf 2, 1]
Weight 7: [\textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1, \textbf 1]
Submitted Solution:
```
def split(n):
x = 1
if n == 1:
print(1)
else:
i = 2
j = int((n+1)//2)
while i < n+1:
if j < 2:
if (n - i*j < j) and (n - i*j > -1):
x += 1
i += 1
j = (n+1)//2
elif j == 0:
i += 1
j = (n+1)//2
else:
j -= 1
else:
if (n - i*j > -1):
x += 1
i += 1
j = (n+1)//2
elif j == 0:
i += 1
j = (n+1)//2
else:
j -= 1
print(x)
n = input()
n = int(n)
split(n)
``` | instruction | 0 | 20,913 | 5 | 41,826 |
No | output | 1 | 20,913 | 5 | 41,827 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which identifies the number of combinations of three integers which satisfy the following conditions:
* You should select three distinct integers from 1 to n.
* A total sum of the three integers is x.
For example, there are two combinations for n = 5 and x = 9.
* 1 + 3 + 5 = 9
* 2 + 3 + 4 = 9
Note
解説
Constraints
* 3 ≤ n ≤ 100
* 0 ≤ x ≤ 300
Input
The input consists of multiple datasets. For each dataset, two integers n and x are given in a line.
The input ends with two zeros for n and x respectively. Your program should not process for these terminal symbols.
Output
For each dataset, print the number of combinations in a line.
Example
Input
5 9
0 0
Output
2 | instruction | 0 | 21,165 | 5 | 42,330 |
"Correct Solution:
```
sss = input()
while not sss == '0 0':
n,x = map(int, sss.split(' '))
counter = 0
for i in range(1, n+1):
for j in range(i+1, n+1):
for k in range(j+1, n+1):
if i+j+k == x: counter += 1
print(counter)
sss = input()
``` | output | 1 | 21,165 | 5 | 42,331 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which identifies the number of combinations of three integers which satisfy the following conditions:
* You should select three distinct integers from 1 to n.
* A total sum of the three integers is x.
For example, there are two combinations for n = 5 and x = 9.
* 1 + 3 + 5 = 9
* 2 + 3 + 4 = 9
Note
解説
Constraints
* 3 ≤ n ≤ 100
* 0 ≤ x ≤ 300
Input
The input consists of multiple datasets. For each dataset, two integers n and x are given in a line.
The input ends with two zeros for n and x respectively. Your program should not process for these terminal symbols.
Output
For each dataset, print the number of combinations in a line.
Example
Input
5 9
0 0
Output
2 | instruction | 0 | 21,166 | 5 | 42,332 |
"Correct Solution:
```
while 1:
n,x=map(int,input().split())
if (n,x)==(0,0) : exit()
sm=0
for i in range(1,n+1):
for j in range(i+1,n+1):
for k in range(j+1,n+1):
if i+j+k==x:sm+=1
print(sm)
``` | output | 1 | 21,166 | 5 | 42,333 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which identifies the number of combinations of three integers which satisfy the following conditions:
* You should select three distinct integers from 1 to n.
* A total sum of the three integers is x.
For example, there are two combinations for n = 5 and x = 9.
* 1 + 3 + 5 = 9
* 2 + 3 + 4 = 9
Note
解説
Constraints
* 3 ≤ n ≤ 100
* 0 ≤ x ≤ 300
Input
The input consists of multiple datasets. For each dataset, two integers n and x are given in a line.
The input ends with two zeros for n and x respectively. Your program should not process for these terminal symbols.
Output
For each dataset, print the number of combinations in a line.
Example
Input
5 9
0 0
Output
2 | instruction | 0 | 21,167 | 5 | 42,334 |
"Correct Solution:
```
while True:
n,x = map(int,input().split())
if (n+x == 0):
break
sum =0
for i in range(1,n+1):
for j in range(i+1,n+1):
for k in range (j+1,n+1):
if i+j+k == x:
sum+=1
print(sum)
``` | output | 1 | 21,167 | 5 | 42,335 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which identifies the number of combinations of three integers which satisfy the following conditions:
* You should select three distinct integers from 1 to n.
* A total sum of the three integers is x.
For example, there are two combinations for n = 5 and x = 9.
* 1 + 3 + 5 = 9
* 2 + 3 + 4 = 9
Note
解説
Constraints
* 3 ≤ n ≤ 100
* 0 ≤ x ≤ 300
Input
The input consists of multiple datasets. For each dataset, two integers n and x are given in a line.
The input ends with two zeros for n and x respectively. Your program should not process for these terminal symbols.
Output
For each dataset, print the number of combinations in a line.
Example
Input
5 9
0 0
Output
2 | instruction | 0 | 21,168 | 5 | 42,336 |
"Correct Solution:
```
while True:
a, b = map(int, input().split())
if a == b == 0:
break
a += 1
c = 0
for i in range(1, a):
for j in range(i + 1, a):
for k in range(j + 1, a):
if i + j + k == b:
c += 1
print(c)
``` | output | 1 | 21,168 | 5 | 42,337 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which identifies the number of combinations of three integers which satisfy the following conditions:
* You should select three distinct integers from 1 to n.
* A total sum of the three integers is x.
For example, there are two combinations for n = 5 and x = 9.
* 1 + 3 + 5 = 9
* 2 + 3 + 4 = 9
Note
解説
Constraints
* 3 ≤ n ≤ 100
* 0 ≤ x ≤ 300
Input
The input consists of multiple datasets. For each dataset, two integers n and x are given in a line.
The input ends with two zeros for n and x respectively. Your program should not process for these terminal symbols.
Output
For each dataset, print the number of combinations in a line.
Example
Input
5 9
0 0
Output
2 | instruction | 0 | 21,169 | 5 | 42,338 |
"Correct Solution:
```
while True:
n,x=map(int,input().split())
cnt=0
if n==x==0:
break
for a in range(1,n-1):
for b in range(a+1,n):
for c in range(b+1,n+1):
if a+b+c==x:
cnt+=1
print(cnt)
``` | output | 1 | 21,169 | 5 | 42,339 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.