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 are given N integers A_1, A_2, ..., A_N.
Consider the sums of all non-empty subsequences of A. There are 2^N - 1 such sums, an odd number.
Let the list of these sums in non-decreasing order be S_1, S_2, ..., S_{2^N - 1}.
Find the median of this list, S_{2^{N-1}}.
Constraints
* 1 \leq N \leq 2000
* 1 \leq A_i \leq 2000
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the median of the sorted list of the sums of all non-empty subsequences of A.
Examples
Input
3
1 2 1
Output
2
Input
1
58
Output
58
Submitted Solution:
```
import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))
write = lambda x: sys.stdout.write(x+"\n")
n = int(input())
a = list(map(int, input().split()))
a.sort()
s = sum(a)
target = s//2 if s%2==0 else s//2+1
l = 2001
dp = [[0]*(l) for _ in range(n+1)]
dp[0][0] = 1
v = 0
ans = float("inf")
for i in range(1, n+1):
v += a[i-1]
for j in range(0, l):
dp[i][j] = dp[i-1][j]
if j-a[i-1]>=0:
dp[i][j] = max(dp[i][j], dp[i-1][j-a[i-1]])
if dp[i][j]>0 and v-j>=target:
ans = min(ans, v-j)
print(ans)
``` | instruction | 0 | 41,921 | 5 | 83,842 |
No | output | 1 | 41,921 | 5 | 83,843 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N integers A_1, A_2, ..., A_N.
Consider the sums of all non-empty subsequences of A. There are 2^N - 1 such sums, an odd number.
Let the list of these sums in non-decreasing order be S_1, S_2, ..., S_{2^N - 1}.
Find the median of this list, S_{2^{N-1}}.
Constraints
* 1 \leq N \leq 2000
* 1 \leq A_i \leq 2000
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the median of the sorted list of the sums of all non-empty subsequences of A.
Examples
Input
3
1 2 1
Output
2
Input
1
58
Output
58
Submitted Solution:
```
#!/usr/bin/env python3
# coding=utf-8
from itertools import chain, combinations
import sys
def powerset(iterable):
s = list(iterable)
return chain.from_iterable(combinations(s, r) for r in range(len(s) + 1))
n = int(sys.stdin.readline().strip())
a = list(map(int, sys.stdin.readline().strip().split(" ")))
print(sorted([sum(ps) for ps in list(powerset(a))[1:]])[2**(n-1)-1])
``` | instruction | 0 | 41,922 | 5 | 83,844 |
No | output | 1 | 41,922 | 5 | 83,845 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N integers A_1, A_2, ..., A_N.
Consider the sums of all non-empty subsequences of A. There are 2^N - 1 such sums, an odd number.
Let the list of these sums in non-decreasing order be S_1, S_2, ..., S_{2^N - 1}.
Find the median of this list, S_{2^{N-1}}.
Constraints
* 1 \leq N \leq 2000
* 1 \leq A_i \leq 2000
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the median of the sorted list of the sums of all non-empty subsequences of A.
Examples
Input
3
1 2 1
Output
2
Input
1
58
Output
58
Submitted Solution:
```
import math
N = int(input())
A = list(map(int, input().split()))
sumA = sum(A)
halfA = math.ceil(sumA / 2)
bitset = 1
for a in A:
bitset |= bitset << a
bitset >>= halfA
for i in range(halfA):
if bitset & 1:
print(i+halfA)
exit()
bitset >>= 1
``` | instruction | 0 | 41,923 | 5 | 83,846 |
No | output | 1 | 41,923 | 5 | 83,847 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given N integers A_1, A_2, ..., A_N.
Consider the sums of all non-empty subsequences of A. There are 2^N - 1 such sums, an odd number.
Let the list of these sums in non-decreasing order be S_1, S_2, ..., S_{2^N - 1}.
Find the median of this list, S_{2^{N-1}}.
Constraints
* 1 \leq N \leq 2000
* 1 \leq A_i \leq 2000
* All input values are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the median of the sorted list of the sums of all non-empty subsequences of A.
Examples
Input
3
1 2 1
Output
2
Input
1
58
Output
58
Submitted Solution:
```
_,a=open(0)
*a,=map(int,a.split())
d=1
for i in a:d|=d<<i
s=sum(a)//2
print(bin(d)[~s::-1].find('1')+s)
``` | instruction | 0 | 41,924 | 5 | 83,848 |
No | output | 1 | 41,924 | 5 | 83,849 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n numbers a_1, a_2, ..., a_n. In one operation we can add to any one of those numbers a nonnegative integer power of 2.
What is the smallest number of operations we need to perform to make all n numbers equal? It can be proved that under given constraints it doesn't exceed 10^{18}.
Input
The first line contains a single integer n (1 β€ n β€ 10^5).
The second line contains n integers a_1, a_2, β¦, a_n (0 β€ a_i β€ 10^{17}).
Output
Output exactly one integer β the smallest number of operations we need to perform to make all n numbers equal.
Examples
Input
4
228 228 228 228
Output
0
Input
3
2 2 8
Output
3
Note
In the first example, all numbers are already equal. So the needed number of operation is 0.
In the second example, we can apply the operation 3 times: add 8 to first 2, add 8 to second 2, add 2 to 8, making all numbers equal to 10. It can be proved that we can't make all numbers equal in less than 3 operations.
Submitted Solution:
```
n = int(input())
x = list(map(int, input().split()))
p=x[0]
q=x[0]
for i in range(n):
if p>x[i]:
p=x[i]
if q<x[i]:
q=x[i]
if p==q:
print("0")
else:
print(n)
``` | instruction | 0 | 42,169 | 5 | 84,338 |
No | output | 1 | 42,169 | 5 | 84,339 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n numbers a_1, a_2, ..., a_n. In one operation we can add to any one of those numbers a nonnegative integer power of 2.
What is the smallest number of operations we need to perform to make all n numbers equal? It can be proved that under given constraints it doesn't exceed 10^{18}.
Input
The first line contains a single integer n (1 β€ n β€ 10^5).
The second line contains n integers a_1, a_2, β¦, a_n (0 β€ a_i β€ 10^{17}).
Output
Output exactly one integer β the smallest number of operations we need to perform to make all n numbers equal.
Examples
Input
4
228 228 228 228
Output
0
Input
3
2 2 8
Output
3
Note
In the first example, all numbers are already equal. So the needed number of operation is 0.
In the second example, we can apply the operation 3 times: add 8 to first 2, add 8 to second 2, add 2 to 8, making all numbers equal to 10. It can be proved that we can't make all numbers equal in less than 3 operations.
Submitted Solution:
```
#4
#228 228 228 228
n=int(input())
l=list(map(int,input().split()))
q=[]
for i in range(50):
q.append(2**i)
c=0
if(len(l)==1):
print(0)
else:
t=0
while(t!=len(l)):
t=0
a=min(l)
b=max(l)
d=b-a
for i in q:
if(d<=i):
c=i
break
l[l.index(a)]+=c
for i in l:
if(i==b):
t+=1
``` | instruction | 0 | 42,170 | 5 | 84,340 |
No | output | 1 | 42,170 | 5 | 84,341 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n numbers a_1, a_2, ..., a_n. In one operation we can add to any one of those numbers a nonnegative integer power of 2.
What is the smallest number of operations we need to perform to make all n numbers equal? It can be proved that under given constraints it doesn't exceed 10^{18}.
Input
The first line contains a single integer n (1 β€ n β€ 10^5).
The second line contains n integers a_1, a_2, β¦, a_n (0 β€ a_i β€ 10^{17}).
Output
Output exactly one integer β the smallest number of operations we need to perform to make all n numbers equal.
Examples
Input
4
228 228 228 228
Output
0
Input
3
2 2 8
Output
3
Note
In the first example, all numbers are already equal. So the needed number of operation is 0.
In the second example, we can apply the operation 3 times: add 8 to first 2, add 8 to second 2, add 2 to 8, making all numbers equal to 10. It can be proved that we can't make all numbers equal in less than 3 operations.
Submitted Solution:
```
import math
N = int(input())
numbers = list(map(int, input().split()))
maximum = max(numbers)
counts = 0
odd = False
for n in numbers:
if n % 2 != 0:
odd = True
break
if odd:
for i in range(N):
if numbers[i] % 2 != 0:
numbers[i] += 1
counts += 1
isChanged = True
while isChanged:
isChanged = False
for i in range(N):
if numbers[i] < maximum:
exponent = int(math.ceil(math.log(maximum - numbers[i], 2)))
numbers[i] += 2**(exponent)
if numbers[i] > maximum:
maximum = numbers[i]
counts += 1
isChanged = True
print(counts)
``` | instruction | 0 | 42,171 | 5 | 84,342 |
No | output | 1 | 42,171 | 5 | 84,343 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given n numbers a_1, a_2, ..., a_n. In one operation we can add to any one of those numbers a nonnegative integer power of 2.
What is the smallest number of operations we need to perform to make all n numbers equal? It can be proved that under given constraints it doesn't exceed 10^{18}.
Input
The first line contains a single integer n (1 β€ n β€ 10^5).
The second line contains n integers a_1, a_2, β¦, a_n (0 β€ a_i β€ 10^{17}).
Output
Output exactly one integer β the smallest number of operations we need to perform to make all n numbers equal.
Examples
Input
4
228 228 228 228
Output
0
Input
3
2 2 8
Output
3
Note
In the first example, all numbers are already equal. So the needed number of operation is 0.
In the second example, we can apply the operation 3 times: add 8 to first 2, add 8 to second 2, add 2 to 8, making all numbers equal to 10. It can be proved that we can't make all numbers equal in less than 3 operations.
Submitted Solution:
```
#https://codeforces.com/problemset/problem/1188/D
import math
n=int(input())
a=input().split(' ')
for i in range(n):
a[i]=int(a[i])
r=0
R=0
p=0
m=max(a)
m2=m+int(math.log2(m))*2
for i in a:
if(i==m):
continue
d=m-i
p=2**int(math.log2(d))
#print('lower level = ',p)
if(d-p < p+p):
r=r-1
else:
r=r+1
d=m2-i
p=2**int(math.log2(d))
if(d-p < p+p):
R=R+1
else:
R=R-1
#print('vote = ',r)
if(R>r):
p=m2
else:
p=m
#print('which level = ',p)
count=0
for i in a:
d=p-i
if(d==0):
continue
while(math.log2(d)>0):
print(math.log2(d))
d=int(math.log2(d)>0)
#print('d=',d)
count=count+1
count=count+int(d)
print(count)
``` | instruction | 0 | 42,172 | 5 | 84,344 |
No | output | 1 | 42,172 | 5 | 84,345 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a consisting of 500000 integers (numbered from 1 to 500000). Initially all elements of a are zero.
You have to process two types of queries to this array:
* 1 x y β increase a_x by y;
* 2 x y β compute β_{i β R(x, y)} a_i, where R(x, y) is the set of all integers from 1 to 500000 which have remainder y modulo x.
Can you process all the queries?
Input
The first line contains one integer q (1 β€ q β€ 500000) β the number of queries.
Then q lines follow, each describing a query. The i-th line contains three integers t_i, x_i and y_i (1 β€ t_i β€ 2). If t_i = 1, then it is a query of the first type, 1 β€ x_i β€ 500000, and -1000 β€ y_i β€ 1000. If t_i = 2, then it it a query of the second type, 1 β€ x_i β€ 500000, and 0 β€ y_i < x_i.
It is guaranteed that there will be at least one query of type 2.
Output
For each query of type 2 print one integer β the answer to it.
Example
Input
5
1 3 4
2 3 0
2 4 3
1 4 -4
2 1 0
Output
4
4
0
Submitted Solution:
```
q = int(input())
a = [0]*500000
for i in range(q):
t,x,y = map(int, input().split())
if t == 1:
a[x] += y
else:
print(sum(a[1:x+1]))
``` | instruction | 0 | 42,181 | 5 | 84,362 |
No | output | 1 | 42,181 | 5 | 84,363 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a consisting of 500000 integers (numbered from 1 to 500000). Initially all elements of a are zero.
You have to process two types of queries to this array:
* 1 x y β increase a_x by y;
* 2 x y β compute β_{i β R(x, y)} a_i, where R(x, y) is the set of all integers from 1 to 500000 which have remainder y modulo x.
Can you process all the queries?
Input
The first line contains one integer q (1 β€ q β€ 500000) β the number of queries.
Then q lines follow, each describing a query. The i-th line contains three integers t_i, x_i and y_i (1 β€ t_i β€ 2). If t_i = 1, then it is a query of the first type, 1 β€ x_i β€ 500000, and -1000 β€ y_i β€ 1000. If t_i = 2, then it it a query of the second type, 1 β€ x_i β€ 500000, and 0 β€ y_i < x_i.
It is guaranteed that there will be at least one query of type 2.
Output
For each query of type 2 print one integer β the answer to it.
Example
Input
5
1 3 4
2 3 0
2 4 3
1 4 -4
2 1 0
Output
4
4
0
Submitted Solution:
```
arr=[0]*500000
i,j=float('inf'),0
for w in range(int(input())):
q,x,y=map(int,input().strip().split())
if q==1:
arr[x-1]+=y
i=min(i,x-1)
j=max(j,x-1)
else:
w=0
z=i+1-y
l=z//x+(z%x!=0)
a=l*x+y-1
b=max(j,a+x+1)
for i in range(a,b,x):
if i<=0:
continue
else:
w+=arr[i-1]
print(w)
``` | instruction | 0 | 42,182 | 5 | 84,364 |
No | output | 1 | 42,182 | 5 | 84,365 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a consisting of 500000 integers (numbered from 1 to 500000). Initially all elements of a are zero.
You have to process two types of queries to this array:
* 1 x y β increase a_x by y;
* 2 x y β compute β_{i β R(x, y)} a_i, where R(x, y) is the set of all integers from 1 to 500000 which have remainder y modulo x.
Can you process all the queries?
Input
The first line contains one integer q (1 β€ q β€ 500000) β the number of queries.
Then q lines follow, each describing a query. The i-th line contains three integers t_i, x_i and y_i (1 β€ t_i β€ 2). If t_i = 1, then it is a query of the first type, 1 β€ x_i β€ 500000, and -1000 β€ y_i β€ 1000. If t_i = 2, then it it a query of the second type, 1 β€ x_i β€ 500000, and 0 β€ y_i < x_i.
It is guaranteed that there will be at least one query of type 2.
Output
For each query of type 2 print one integer β the answer to it.
Example
Input
5
1 3 4
2 3 0
2 4 3
1 4 -4
2 1 0
Output
4
4
0
Submitted Solution:
```
a=[0 for i in range(500000)]
q=int(input())
try:
for i in range(q):
s=[int(i2) for i2 in input().split()]
if s[0]==1:
a[s[1]]+=s[2]
else:
n=s[2]
summ=0
while n<500000:
summ+=a[n]
n+=s[1]
print(summ)
except:
print(0)
``` | instruction | 0 | 42,183 | 5 | 84,366 |
No | output | 1 | 42,183 | 5 | 84,367 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a consisting of 500000 integers (numbered from 1 to 500000). Initially all elements of a are zero.
You have to process two types of queries to this array:
* 1 x y β increase a_x by y;
* 2 x y β compute β_{i β R(x, y)} a_i, where R(x, y) is the set of all integers from 1 to 500000 which have remainder y modulo x.
Can you process all the queries?
Input
The first line contains one integer q (1 β€ q β€ 500000) β the number of queries.
Then q lines follow, each describing a query. The i-th line contains three integers t_i, x_i and y_i (1 β€ t_i β€ 2). If t_i = 1, then it is a query of the first type, 1 β€ x_i β€ 500000, and -1000 β€ y_i β€ 1000. If t_i = 2, then it it a query of the second type, 1 β€ x_i β€ 500000, and 0 β€ y_i < x_i.
It is guaranteed that there will be at least one query of type 2.
Output
For each query of type 2 print one integer β the answer to it.
Example
Input
5
1 3 4
2 3 0
2 4 3
1 4 -4
2 1 0
Output
4
4
0
Submitted Solution:
```
d={}
for _ in range(int(input())):
n,x,y=map(int,input().split())
if n==1:
if x in d:
d[x]+=y
else:
d[x]=y
else:
sum=0
for __ in d:
if y%x==__ or y==0:
sum+=d[__]
print(sum)
``` | instruction | 0 | 42,184 | 5 | 84,368 |
No | output | 1 | 42,184 | 5 | 84,369 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
n=int(input())
for i in range(n):
m=list(map(int,input().split()))
x=m[0]-m[1]
if x>0:
if x%2==0:
print(1)
else:
print(2)
if x<0:
if x%2==0:
print(2)
else:
print(1)
if x==0:
print(0)
``` | instruction | 0 | 42,213 | 5 | 84,426 |
Yes | output | 1 | 42,213 | 5 | 84,427 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
# https://codeforces.com/contest/1311/problem/A
for _ in range(int(input())):
a,b = map(int,input().split())
if a>b:
print('1' if (a-b)%2==0 else '2')
elif a<b:
print('2' if (b-a)%2==0 else '1')
else:
print('0')
``` | instruction | 0 | 42,214 | 5 | 84,428 |
Yes | output | 1 | 42,214 | 5 | 84,429 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
t = int(input())
while t > 0:
a, b = map(int, input().split())
if a == b:
print(0)
elif a < b:
if (b - a) % 2 == 0:
print(2)
else:
print(1)
else:
if (a - b) % 2 != 0:
print(2)
else:
print(1)
t -= 1
``` | instruction | 0 | 42,215 | 5 | 84,430 |
Yes | output | 1 | 42,215 | 5 | 84,431 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
def solve(a, b):
diff = b - a
if diff == 0:
return diff
elif diff > 0:
if diff % 2 == 0:
return 2
else:
return 1
else:
if diff % 2 == 0:
return 1
else:
return 2
t = int(input())
for _ in range(0, t):
a, b = map(int, input().split())
print(solve(a, b))
``` | instruction | 0 | 42,216 | 5 | 84,432 |
Yes | output | 1 | 42,216 | 5 | 84,433 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
for _ in range(int(input())):
a, b = map(int, input().split())
if a == b:
print("0")
elif a - b % 2 == 1:
print("1")
else:
print("2")
``` | instruction | 0 | 42,217 | 5 | 84,434 |
No | output | 1 | 42,217 | 5 | 84,435 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
for i in range(int(input())):
a, b = map(int, input().split())
if a == b:
print('0')
elif b < a:
if (a - b) % 2 == 0:
print('1')
else:
print('2')
else:
if (b - a) % 2 != 0:
print('1')
else:
if b - a > 3:
print('3')
else:
print(b - a)
``` | instruction | 0 | 42,218 | 5 | 84,436 |
No | output | 1 | 42,218 | 5 | 84,437 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
move=0
t=int(input())
for t in range(0,t):
a,b=map(int,input().split())
if a<b:
if (b-a)%2==0:
move=2
else:
move=1
else:
if (a-b)%2==0:
move=1
else:
move=2
print(move)
``` | instruction | 0 | 42,219 | 5 | 84,438 |
No | output | 1 | 42,219 | 5 | 84,439 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two positive integers a and b.
In one move, you can change a in the following way:
* Choose any positive odd integer x (x > 0) and replace a with a+x;
* choose any positive even integer y (y > 0) and replace a with a-y.
You can perform as many such operations as you want. You can choose the same numbers x and y in different moves.
Your task is to find the minimum number of moves required to obtain b from a. It is guaranteed that you can always obtain b from a.
You have to answer t independent test cases.
Input
The first line of the input contains one integer t (1 β€ t β€ 10^4) β the number of test cases.
Then t test cases follow. Each test case is given as two space-separated integers a and b (1 β€ a, b β€ 10^9).
Output
For each test case, print the answer β the minimum number of moves required to obtain b from a if you can perform any number of moves described in the problem statement. It is guaranteed that you can always obtain b from a.
Example
Input
5
2 3
10 10
2 4
7 4
9 3
Output
1
0
2
2
1
Note
In the first test case, you can just add 1.
In the second test case, you don't need to do anything.
In the third test case, you can add 1 two times.
In the fourth test case, you can subtract 4 and add 1.
In the fifth test case, you can just subtract 6.
Submitted Solution:
```
def ii(): return int(input())
def si(): return input()
def mi(): return map(int,input().split())
def msi(): return map(str,input().split())
def li(): return list(mi())
t=ii()
for _ in range(t):
a,b = mi()
if b==a:
print(0)
elif a>b:
if (a-b)%2==0:
print(1)
else:
print(2)
else:
if (b-a)%2==1:
print(1)
else:
print(min(3,b-a))
``` | instruction | 0 | 42,220 | 5 | 84,440 |
No | output | 1 | 42,220 | 5 | 84,441 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Farmer John has just given the cows a program to play with! The program contains two integer variables, x and y, and performs the following operations on a sequence a1, a2, ..., an of positive integers:
1. Initially, x = 1 and y = 0. If, after any step, x β€ 0 or x > n, the program immediately terminates.
2. The program increases both x and y by a value equal to ax simultaneously.
3. The program now increases y by ax while decreasing x by ax.
4. The program executes steps 2 and 3 (first step 2, then step 3) repeatedly until it terminates (it may never terminate). So, the sequence of executed steps may start with: step 2, step 3, step 2, step 3, step 2 and so on.
The cows are not very good at arithmetic though, and they want to see how the program works. Please help them!
You are given the sequence a2, a3, ..., an. Suppose for each i (1 β€ i β€ n - 1) we run the program on the sequence i, a2, a3, ..., an. For each such run output the final value of y if the program terminates or -1 if it does not terminate.
Input
The first line contains a single integer, n (2 β€ n β€ 2Β·105). The next line contains n - 1 space separated integers, a2, a3, ..., an (1 β€ ai β€ 109).
Output
Output n - 1 lines. On the i-th line, print the requested value when the program is run on the sequence i, a2, a3, ...an.
Please do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier.
Examples
Input
4
2 4 1
Output
3
6
8
Input
3
1 2
Output
-1
-1
Note
In the first sample
1. For i = 1, x becomes <image> and y becomes 1 + 2 = 3.
2. For i = 2, x becomes <image> and y becomes 2 + 4 = 6.
3. For i = 3, x becomes <image> and y becomes 3 + 1 + 4 = 8.
Submitted Solution:
```
INF = float('inf')
n = int(input())
aaa = [0, 0] + list(map(int, input().split()))
dp = [[0 for _ in range(n+1)] for i in range(2)]
vis = [[0 for _ in range(n+1)] for i in range(2)]
rs = [0] * (n-1)
def di(d): return 0 if d == 1 else 1
def solve(x, d):
if dp[di(d)][x]:
return dp[di(d)][x]
if vis[di(d)][x]:
return INF
ni = x + aaa[x] * d
if ni < 1 or ni > n:
return aaa[x]
vis[di(d)][x] = 1
r = aaa[x] + solve(ni, -d)
vis[di(d)][x] = 0
return r
for d in [1, -1]:
for x in range(2, n+1):
if dp[di(d)][x]:
continue
ni = x + aaa[x] * d
path = [x]
values = [aaa[x]]
while ni > 1 and ni <= n:
path.append(ni)
if dp[di(d)][ni]:
values.append(dp[di(d)][ni])
d *= -1
break
if vis[di(d)][ni]:
values.append(INF)
d *= -1
break
vis[di(d)][ni] = 1
values.append(aaa[ni])
d *= -1
ni = ni + aaa[ni] * d
if ni == 1:
continue
for i in range(len(values)-2, -1, -1):
values[i] = values[i] + values[i+1]
while path:
dp[di(d)][path.pop()] = values.pop()
d *= -1
for i in range(1, n):
aaa[1] = i
res = solve(1, 1)
rs[i-1] = res if res < INF else -1
print('\n'.join(map(str, rs)))
``` | instruction | 0 | 42,396 | 5 | 84,792 |
No | output | 1 | 42,396 | 5 | 84,793 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Farmer John has just given the cows a program to play with! The program contains two integer variables, x and y, and performs the following operations on a sequence a1, a2, ..., an of positive integers:
1. Initially, x = 1 and y = 0. If, after any step, x β€ 0 or x > n, the program immediately terminates.
2. The program increases both x and y by a value equal to ax simultaneously.
3. The program now increases y by ax while decreasing x by ax.
4. The program executes steps 2 and 3 (first step 2, then step 3) repeatedly until it terminates (it may never terminate). So, the sequence of executed steps may start with: step 2, step 3, step 2, step 3, step 2 and so on.
The cows are not very good at arithmetic though, and they want to see how the program works. Please help them!
You are given the sequence a2, a3, ..., an. Suppose for each i (1 β€ i β€ n - 1) we run the program on the sequence i, a2, a3, ..., an. For each such run output the final value of y if the program terminates or -1 if it does not terminate.
Input
The first line contains a single integer, n (2 β€ n β€ 2Β·105). The next line contains n - 1 space separated integers, a2, a3, ..., an (1 β€ ai β€ 109).
Output
Output n - 1 lines. On the i-th line, print the requested value when the program is run on the sequence i, a2, a3, ...an.
Please do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier.
Examples
Input
4
2 4 1
Output
3
6
8
Input
3
1 2
Output
-1
-1
Note
In the first sample
1. For i = 1, x becomes <image> and y becomes 1 + 2 = 3.
2. For i = 2, x becomes <image> and y becomes 2 + 4 = 6.
3. For i = 3, x becomes <image> and y becomes 3 + 1 + 4 = 8.
Submitted Solution:
```
n = int(input())
a = [0,0]
a.extend(list(map(int, input().split())))
vis = {}
for i in range(1,n):
x,y,prev =1,0,-1
a[1] = i
b = False
while True:
y+= a[x]
x+= a[x]
if x>n:
break
if x in vis:
b = True
break
vis[x]=1
y+= a[x]
x-= a[x]
if x<=0:
break
print(-1 if b else y)
``` | instruction | 0 | 42,397 | 5 | 84,794 |
No | output | 1 | 42,397 | 5 | 84,795 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Farmer John has just given the cows a program to play with! The program contains two integer variables, x and y, and performs the following operations on a sequence a1, a2, ..., an of positive integers:
1. Initially, x = 1 and y = 0. If, after any step, x β€ 0 or x > n, the program immediately terminates.
2. The program increases both x and y by a value equal to ax simultaneously.
3. The program now increases y by ax while decreasing x by ax.
4. The program executes steps 2 and 3 (first step 2, then step 3) repeatedly until it terminates (it may never terminate). So, the sequence of executed steps may start with: step 2, step 3, step 2, step 3, step 2 and so on.
The cows are not very good at arithmetic though, and they want to see how the program works. Please help them!
You are given the sequence a2, a3, ..., an. Suppose for each i (1 β€ i β€ n - 1) we run the program on the sequence i, a2, a3, ..., an. For each such run output the final value of y if the program terminates or -1 if it does not terminate.
Input
The first line contains a single integer, n (2 β€ n β€ 2Β·105). The next line contains n - 1 space separated integers, a2, a3, ..., an (1 β€ ai β€ 109).
Output
Output n - 1 lines. On the i-th line, print the requested value when the program is run on the sequence i, a2, a3, ...an.
Please do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier.
Examples
Input
4
2 4 1
Output
3
6
8
Input
3
1 2
Output
-1
-1
Note
In the first sample
1. For i = 1, x becomes <image> and y becomes 1 + 2 = 3.
2. For i = 2, x becomes <image> and y becomes 2 + 4 = 6.
3. For i = 3, x becomes <image> and y becomes 3 + 1 + 4 = 8.
Submitted Solution:
```
import random
INF = float('inf')
n = int(input())
# n = 200000
aaa = [0, 0] + list(map(int, input().split()))
# aaa =[0,0] +[random.randrange(1,200000000) for _ in range(200000)]
dp = [[0 for _ in range(n+2)] for i in range(2)]
vis = [[0 for _ in range(n+2)] for i in range(2)]
def solve(x, d):
dindex = 0 if d == 1 else 1
ni = x + aaa[x] * d
if ni == 1:
return 0
if ni < 1 or ni > n:
vis[dindex][x] = 1
dp[dindex][x] = aaa[x]
return aaa[x]
if dp[dindex][x]:
return dp[dindex][x]
if vis[dindex][x]:
dp[dindex][x] = INF
return INF
vis[dindex][x] = 1
r = solve(ni, -d)
vis[dindex][x] = 0
if r:
dp[dindex][x] = r + aaa[x]
return r + aaa[x]
return 0
def solve2(x, d):
print('fese')
dindex = 0 if d == 1 else 1
ni = x + aaa[x] * d
if ni < 1 or ni > n:
return aaa[x]
if dp[dindex][x]:
return dp[dindex][x]
if vis[dindex][x]:
return INF
vis[dindex][x] = 1
r = aaa[x] + solve2(ni, -d)
vis[dindex][x] = 0
return r
for i in range(2, n+1):
solve(i, 1)
solve(i, -1)
for i in range(1, n):
aaa[1] = i
res = solve2(1, 1)
print(res if res < INF else -1)
``` | instruction | 0 | 42,398 | 5 | 84,796 |
No | output | 1 | 42,398 | 5 | 84,797 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Farmer John has just given the cows a program to play with! The program contains two integer variables, x and y, and performs the following operations on a sequence a1, a2, ..., an of positive integers:
1. Initially, x = 1 and y = 0. If, after any step, x β€ 0 or x > n, the program immediately terminates.
2. The program increases both x and y by a value equal to ax simultaneously.
3. The program now increases y by ax while decreasing x by ax.
4. The program executes steps 2 and 3 (first step 2, then step 3) repeatedly until it terminates (it may never terminate). So, the sequence of executed steps may start with: step 2, step 3, step 2, step 3, step 2 and so on.
The cows are not very good at arithmetic though, and they want to see how the program works. Please help them!
You are given the sequence a2, a3, ..., an. Suppose for each i (1 β€ i β€ n - 1) we run the program on the sequence i, a2, a3, ..., an. For each such run output the final value of y if the program terminates or -1 if it does not terminate.
Input
The first line contains a single integer, n (2 β€ n β€ 2Β·105). The next line contains n - 1 space separated integers, a2, a3, ..., an (1 β€ ai β€ 109).
Output
Output n - 1 lines. On the i-th line, print the requested value when the program is run on the sequence i, a2, a3, ...an.
Please do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier.
Examples
Input
4
2 4 1
Output
3
6
8
Input
3
1 2
Output
-1
-1
Note
In the first sample
1. For i = 1, x becomes <image> and y becomes 1 + 2 = 3.
2. For i = 2, x becomes <image> and y becomes 2 + 4 = 6.
3. For i = 3, x becomes <image> and y becomes 3 + 1 + 4 = 8.
Submitted Solution:
```
n = int(input())
a = [0,0]
a.extend(list(map(int, input().split())))
vis = {}
for i in range(1,n):
x,y,prev =1,0,-1
a[1] = i
b = False
vis[x]=1
while True:
y+= a[x]
x+= a[x]
if x>n:
break
if x in vis:
b = True
break
vis[x]=1
y+= a[x]
x-= a[x]
if x<=0:
break
print(-1 if b else y)
``` | instruction | 0 | 42,399 | 5 | 84,798 |
No | output | 1 | 42,399 | 5 | 84,799 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Programmer Rostislav got seriously interested in the Link/Cut Tree data structure, which is based on Splay trees. Specifically, he is now studying the expose procedure.
Unfortunately, Rostislav is unable to understand the definition of this procedure, so he decided to ask programmer Serezha to help him. Serezha agreed to help if Rostislav solves a simple task (and if he doesn't, then why would he need Splay trees anyway?)
Given integers l, r and k, you need to print all powers of number k within range from l to r inclusive. However, Rostislav doesn't want to spent time doing this, as he got interested in playing a network game called Agar with Gleb. Help him!
Input
The first line of the input contains three space-separated integers l, r and k (1 β€ l β€ r β€ 1018, 2 β€ k β€ 109).
Output
Print all powers of number k, that lie within range from l to r in the increasing order. If there are no such numbers, print "-1" (without the quotes).
Examples
Input
1 10 2
Output
1 2 4 8
Input
2 4 5
Output
-1
Note
Note to the first sample: numbers 20 = 1, 21 = 2, 22 = 4, 23 = 8 lie within the specified range. The number 24 = 16 is greater then 10, thus it shouldn't be printed.
Submitted Solution:
```
def pow(x,y):
if y==0:return 1
temp=pow(x,y//2)
if y%2==0:return temp*temp
else:return x*temp*temp
l,r,k=map(int,input().split())
i=0
flag=0
val=pow(k,i)
while val<=r:
if val>=l:
print(val,end=' ')
flag=1
i=i+1
val=pow(k,i)
if flag==0:print(-1)
print("\n")
``` | instruction | 0 | 42,529 | 5 | 85,058 |
Yes | output | 1 | 42,529 | 5 | 85,059 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Programmer Rostislav got seriously interested in the Link/Cut Tree data structure, which is based on Splay trees. Specifically, he is now studying the expose procedure.
Unfortunately, Rostislav is unable to understand the definition of this procedure, so he decided to ask programmer Serezha to help him. Serezha agreed to help if Rostislav solves a simple task (and if he doesn't, then why would he need Splay trees anyway?)
Given integers l, r and k, you need to print all powers of number k within range from l to r inclusive. However, Rostislav doesn't want to spent time doing this, as he got interested in playing a network game called Agar with Gleb. Help him!
Input
The first line of the input contains three space-separated integers l, r and k (1 β€ l β€ r β€ 1018, 2 β€ k β€ 109).
Output
Print all powers of number k, that lie within range from l to r in the increasing order. If there are no such numbers, print "-1" (without the quotes).
Examples
Input
1 10 2
Output
1 2 4 8
Input
2 4 5
Output
-1
Note
Note to the first sample: numbers 20 = 1, 21 = 2, 22 = 4, 23 = 8 lie within the specified range. The number 24 = 16 is greater then 10, thus it shouldn't be printed.
Submitted Solution:
```
import math
l,r,k = map(int,input().split())
h=0
for j in range(10**9):
if l<=k**j<=r:
print(k**j,end=' ')
h+=1
elif k**j>r:
break
if h==0:
print(-1)
``` | instruction | 0 | 42,530 | 5 | 85,060 |
Yes | output | 1 | 42,530 | 5 | 85,061 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Programmer Rostislav got seriously interested in the Link/Cut Tree data structure, which is based on Splay trees. Specifically, he is now studying the expose procedure.
Unfortunately, Rostislav is unable to understand the definition of this procedure, so he decided to ask programmer Serezha to help him. Serezha agreed to help if Rostislav solves a simple task (and if he doesn't, then why would he need Splay trees anyway?)
Given integers l, r and k, you need to print all powers of number k within range from l to r inclusive. However, Rostislav doesn't want to spent time doing this, as he got interested in playing a network game called Agar with Gleb. Help him!
Input
The first line of the input contains three space-separated integers l, r and k (1 β€ l β€ r β€ 1018, 2 β€ k β€ 109).
Output
Print all powers of number k, that lie within range from l to r in the increasing order. If there are no such numbers, print "-1" (without the quotes).
Examples
Input
1 10 2
Output
1 2 4 8
Input
2 4 5
Output
-1
Note
Note to the first sample: numbers 20 = 1, 21 = 2, 22 = 4, 23 = 8 lie within the specified range. The number 24 = 16 is greater then 10, thus it shouldn't be printed.
Submitted Solution:
```
l, r, k = map(int, input().split())
cur = 1
while cur <= r:
if cur >= l:
print(cur, end = ' ')
cur *= k
print()
``` | instruction | 0 | 42,534 | 5 | 85,068 |
No | output | 1 | 42,534 | 5 | 85,069 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,648 | 5 | 85,296 |
"Correct Solution:
```
n=int(input())
l=[0]*(6*n)
for x in range(1,int((n+1)**0.5)):
for y in range(1,int((n+1)**0.5)):
for z in range(1,int((n+1)**0.5)):
l[(x**2 + y**2 + z**2 + x*y + y*z + z*x )-1]+=1
for i in range(n):
print(l[i])
``` | output | 1 | 42,648 | 5 | 85,297 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,649 | 5 | 85,298 |
"Correct Solution:
```
N = int(input())
ans=[0]*(N+1)
t=int(N**0.5+1)
for x in range(1, t):
for y in range(1, t):
for z in range(1, t):
v=x*x+y*y+z*z+x*y+y*z+z*x
if v<=N: ans[v]+=1
for i in range(1,N+1):
print(ans[i])
``` | output | 1 | 42,649 | 5 | 85,299 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,650 | 5 | 85,300 |
"Correct Solution:
```
n=int(input())
ans=[0]*n
for x in range(1,100):
for y in range(1,100):
for z in range(1,100):
v=x**2 + y**2 + z**2 + x*y +y*z +x*z
if v>n:
break
ans[v-1]+=1
print(*ans)
``` | output | 1 | 42,650 | 5 | 85,301 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,651 | 5 | 85,302 |
"Correct Solution:
```
n=int(input())
A=[0]*n
a=round(n**0.5)+1
for x in range(1,a):
for y in range(1,a):
for z in range(1,a):
b=x*x+y*y+z*z+x*y+y*z+z*x
if b-1<n:
A[b-1]+=1
for i in range(n):
print(A[i])
``` | output | 1 | 42,651 | 5 | 85,303 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,652 | 5 | 85,304 |
"Correct Solution:
```
n = int(input())
r = range(1, int(n**.5) + 1)
a = [0] * -~n
for x in r:
for y in r:
for z in r:
f = x*x + y*y + z*z + x*y + y*z + z*x
if f <= n:a[f] += 1
for b in a[1:]:print(b)
``` | output | 1 | 42,652 | 5 | 85,305 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,653 | 5 | 85,306 |
"Correct Solution:
```
n=int(input())
r=range(1,int(2*n**.5)+1)
l=[0]*-~n
for i in r:
for j in r:
for k in r:
t=(j+k)**2+(k+i)**2+(i+j)**2
if t<=n*2 and t%2<1: l[t//2]+=1
for i in range(n): print(l[i+1])
``` | output | 1 | 42,653 | 5 | 85,307 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,654 | 5 | 85,308 |
"Correct Solution:
```
n=int(input())
l=[0]*10**7
s=int(n**0.65)+1
for x in range(1,s):
for y in range(1,s-x):
for z in range(1,s-x-y):
l[x*x+y*y+z*z+x*y+y*z+z*x-1]+=1
for i in range(n):
print(l[i])
``` | output | 1 | 42,654 | 5 | 85,309 |
Provide a correct Python 3 solution for this coding contest problem.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0 | instruction | 0 | 42,655 | 5 | 85,310 |
"Correct Solution:
```
n=int(input())
import math
nn=int(math.sqrt(n))+1
a=[0]*(100*n)
for x in range(1,nn+1):
for y in range(1,nn+1):
for z in range(1,nn+1):
a[(x+y+z)**2-x*y-x*z-y*z]+=1
for i in range(1,n+1):
print(a[i])
``` | output | 1 | 42,655 | 5 | 85,311 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
n=int(input())
r=range(1,100)
l=[0]*n
for x in r:
for y in r:
for z in r:
t=x*x+y*y+z*z+y*z+z*x+x*y-1
if t<n: l[t]+=1
for i in l: print(i)
``` | instruction | 0 | 42,656 | 5 | 85,312 |
Yes | output | 1 | 42,656 | 5 | 85,313 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
n = int(input())
ans = [0]*10**5
for i in range(1,int(n**0.5)):
for j in range(1,int(n**0.5)):
for k in range(1,int(n**0.5)):
res = i**2 + j**2 + k**2 +i*j + j*k + k*i
ans[res-1] += 1
for i in range(n):
print(ans[i])
``` | instruction | 0 | 42,657 | 5 | 85,314 |
Yes | output | 1 | 42,657 | 5 | 85,315 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
n = int(input())
li = [0]*n
p = int(n**0.5)
for x in range(1,p+1):
for y in range(1,p+1):
for z in range(1,p+1):
k = x**2+y**2+z**2+x*y+y*z+z*x
if k<=n:
li[k-1]+=1
print(*li,sep="\n")
``` | instruction | 0 | 42,658 | 5 | 85,316 |
Yes | output | 1 | 42,658 | 5 | 85,317 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
n=int(input())
A=[0]*(n+1)
a=round(n**0.5)+1
for x in range(1,a):
for y in range(1,a):
for z in range(1,a):
b=x*x+y*y+z*z+x*y+y*z+z*x
if b<n+1:
A[b]+=1
for i in range(1,n+1):
print(A[i])
``` | instruction | 0 | 42,659 | 5 | 85,318 |
Yes | output | 1 | 42,659 | 5 | 85,319 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
def ans_xyz(x, y, z):
return ((x ** 2) + (y ** 2) + (z ** 2) + (x * y) + (y * z) + (z * x))
N = int(input())
for n in range(1 , N + 1):
ans = 0
for x in range(1, 101):
xxx = ans_xyz(x, x, x)
if xxx > n:
break
elif xxx == n:
ans += 1
break
for y in range(x + 1, 101):
xxy = ans_xyz(x, x, y)
if xxy > n:
break
elif xxy == n:
ans += 3
break
for z in range(y + 1, 101):
if ans_xyz(x, y, z) > n:
break
elif ans_xyz(x, y, z) == n:
ans += 6
break
xyy = ans_xyz(x, y, y)
if xyy > n:
break
elif xyy == n:
ans += 3
break
print(ans)
``` | instruction | 0 | 42,660 | 5 | 85,320 |
No | output | 1 | 42,660 | 5 | 85,321 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
N = int(input())
dp = [0 for _ in range(N+1)]
for x in range(1,N):
if x * x > N:
continue
for y in range(1,N):
if x * x + y * y + x * x > N:
continue
for z in range(1,N):
t = x * x + y * y + z * z + x * y + y * z + z * x
if t <= N:
dp[t] += 1
for i in range(1,N+1):
print(dp[i])
``` | instruction | 0 | 42,661 | 5 | 85,322 |
No | output | 1 | 42,661 | 5 | 85,323 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
import sys
from math import sqrt
def input(): return sys.stdin.readline().strip()
def main():
N = int(input())
for n in range(1, N + 1):
ans = 0
upper = round(sqrt(n / 6)) + 2
#print("n={}, upper={}".format(n, upper))
for x in range(1, upper):
for y in range(1, upper):
for z in range(1, upper):
if (x + y + z)**2 - (x*y + y*z + z*x) == n:
ans += 1
print(ans)
if __name__ == "__main__":
main()
``` | instruction | 0 | 42,662 | 5 | 85,324 |
No | output | 1 | 42,662 | 5 | 85,325 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:
* 1 \leq x,y,z
* x^2 + y^2 + z^2 + xy + yz + zx = n
Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).
Constraints
* All values in input are integers.
* 1 \leq N \leq 10^4
Input
Input is given from Standard Input in the following format:
N
Output
Print N lines. The i-th line should contain the value f(i).
Example
Input
20
Output
0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0
Submitted Solution:
```
N = int(input().strip())
s=[]
n=0
for j in range (N):
if j**3<=N and (j+1)**3>=N:
n=j+1
break
t=[0]*N
for i in range(N):
for a in range (1,n+1):
for b in range(1,n+1):
for c in range(1,n+1):
if (a*a+b*b+c*c+a*b+b*c+c*a)==i+1:
t[i]=t[i]+1
for l in range(N):
print(t[l])
``` | instruction | 0 | 42,663 | 5 | 85,326 |
No | output | 1 | 42,663 | 5 | 85,327 |
Provide a correct Python 3 solution for this coding contest problem.
You have three tasks, all of which need to be completed.
First, you can complete any one task at cost 0.
Then, just after completing the i-th task, you can complete the j-th task at cost |A_j - A_i|.
Here, |x| denotes the absolute value of x.
Find the minimum total cost required to complete all the task.
Constraints
* All values in input are integers.
* 1 \leq A_1, A_2, A_3 \leq 100
Input
Input is given from Standard Input in the following format:
A_1 A_2 A_3
Output
Print the minimum total cost required to complete all the task.
Examples
Input
1 6 3
Output
5
Input
11 5 5
Output
6
Input
100 100 100
Output
0 | instruction | 0 | 42,720 | 5 | 85,440 |
"Correct Solution:
```
A = sorted([int(x) for x in input().split()])
print(A[2]-A[0])
``` | output | 1 | 42,720 | 5 | 85,441 |
Provide a correct Python 3 solution for this coding contest problem.
You have three tasks, all of which need to be completed.
First, you can complete any one task at cost 0.
Then, just after completing the i-th task, you can complete the j-th task at cost |A_j - A_i|.
Here, |x| denotes the absolute value of x.
Find the minimum total cost required to complete all the task.
Constraints
* All values in input are integers.
* 1 \leq A_1, A_2, A_3 \leq 100
Input
Input is given from Standard Input in the following format:
A_1 A_2 A_3
Output
Print the minimum total cost required to complete all the task.
Examples
Input
1 6 3
Output
5
Input
11 5 5
Output
6
Input
100 100 100
Output
0 | instruction | 0 | 42,721 | 5 | 85,442 |
"Correct Solution:
```
a, b, c = sorted(map(int, input().split(" ")))
print(c - a)
``` | output | 1 | 42,721 | 5 | 85,443 |
Provide a correct Python 3 solution for this coding contest problem.
You have three tasks, all of which need to be completed.
First, you can complete any one task at cost 0.
Then, just after completing the i-th task, you can complete the j-th task at cost |A_j - A_i|.
Here, |x| denotes the absolute value of x.
Find the minimum total cost required to complete all the task.
Constraints
* All values in input are integers.
* 1 \leq A_1, A_2, A_3 \leq 100
Input
Input is given from Standard Input in the following format:
A_1 A_2 A_3
Output
Print the minimum total cost required to complete all the task.
Examples
Input
1 6 3
Output
5
Input
11 5 5
Output
6
Input
100 100 100
Output
0 | instruction | 0 | 42,722 | 5 | 85,444 |
"Correct Solution:
```
a, b, c = sorted(map(int,input().split()))
print(abs(c-b)+(b-a))
``` | output | 1 | 42,722 | 5 | 85,445 |
Provide a correct Python 3 solution for this coding contest problem.
You have three tasks, all of which need to be completed.
First, you can complete any one task at cost 0.
Then, just after completing the i-th task, you can complete the j-th task at cost |A_j - A_i|.
Here, |x| denotes the absolute value of x.
Find the minimum total cost required to complete all the task.
Constraints
* All values in input are integers.
* 1 \leq A_1, A_2, A_3 \leq 100
Input
Input is given from Standard Input in the following format:
A_1 A_2 A_3
Output
Print the minimum total cost required to complete all the task.
Examples
Input
1 6 3
Output
5
Input
11 5 5
Output
6
Input
100 100 100
Output
0 | instruction | 0 | 42,723 | 5 | 85,446 |
"Correct Solution:
```
l=sorted(map(int,input().split()))
print(l[-1]-l[0])
``` | output | 1 | 42,723 | 5 | 85,447 |
Provide a correct Python 3 solution for this coding contest problem.
You have three tasks, all of which need to be completed.
First, you can complete any one task at cost 0.
Then, just after completing the i-th task, you can complete the j-th task at cost |A_j - A_i|.
Here, |x| denotes the absolute value of x.
Find the minimum total cost required to complete all the task.
Constraints
* All values in input are integers.
* 1 \leq A_1, A_2, A_3 \leq 100
Input
Input is given from Standard Input in the following format:
A_1 A_2 A_3
Output
Print the minimum total cost required to complete all the task.
Examples
Input
1 6 3
Output
5
Input
11 5 5
Output
6
Input
100 100 100
Output
0 | instruction | 0 | 42,724 | 5 | 85,448 |
"Correct Solution:
```
List=list(map(int,input().split()))
print(max(List)-min(List))
``` | output | 1 | 42,724 | 5 | 85,449 |
Provide a correct Python 3 solution for this coding contest problem.
You have three tasks, all of which need to be completed.
First, you can complete any one task at cost 0.
Then, just after completing the i-th task, you can complete the j-th task at cost |A_j - A_i|.
Here, |x| denotes the absolute value of x.
Find the minimum total cost required to complete all the task.
Constraints
* All values in input are integers.
* 1 \leq A_1, A_2, A_3 \leq 100
Input
Input is given from Standard Input in the following format:
A_1 A_2 A_3
Output
Print the minimum total cost required to complete all the task.
Examples
Input
1 6 3
Output
5
Input
11 5 5
Output
6
Input
100 100 100
Output
0 | instruction | 0 | 42,725 | 5 | 85,450 |
"Correct Solution:
```
l=sorted(map(int,input().split()))
print(l[2]-l[0])
``` | output | 1 | 42,725 | 5 | 85,451 |
Provide a correct Python 3 solution for this coding contest problem.
You have three tasks, all of which need to be completed.
First, you can complete any one task at cost 0.
Then, just after completing the i-th task, you can complete the j-th task at cost |A_j - A_i|.
Here, |x| denotes the absolute value of x.
Find the minimum total cost required to complete all the task.
Constraints
* All values in input are integers.
* 1 \leq A_1, A_2, A_3 \leq 100
Input
Input is given from Standard Input in the following format:
A_1 A_2 A_3
Output
Print the minimum total cost required to complete all the task.
Examples
Input
1 6 3
Output
5
Input
11 5 5
Output
6
Input
100 100 100
Output
0 | instruction | 0 | 42,726 | 5 | 85,452 |
"Correct Solution:
```
a = sorted(list(map(int, input().split())))
print(a[2]-a[0])
``` | output | 1 | 42,726 | 5 | 85,453 |
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