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.
There are N integers, A_1, A_2, ..., A_N, written on a blackboard.
We will repeat the following operation N-1 times so that we have only one integer on the blackboard.
* Choose two integers x and y on the blackboard and erase these two integers. Then, write a new integer x-y.
Find the maximum possible value of the final integer on the blackboard and a sequence of operations that maximizes the final integer.
Constraints
* 2 \leq N \leq 10^5
* -10^4 \leq A_i \leq 10^4
* All values in input are integers.
Input
Input is given from Standard Input in the following format:
N
A_1 A_2 ... A_N
Output
Print the maximum possible value M of the final integer on the blackboard, and a sequence of operations x_i, y_i that maximizes the final integer, in the format below.
Here x_i and y_i represent the integers x and y chosen in the i-th operation, respectively.
If there are multiple sequences of operations that maximize the final integer, any of them will be accepted.
M
x_1 y_1
:
x_{N-1} y_{N-1}
Output
Print the maximum possible value M of the final integer on the blackboard, and a sequence of operations x_i, y_i that maximizes the final integer, in the format below.
Here x_i and y_i represent the integers x and y chosen in the i-th operation, respectively.
If there are multiple sequences of operations that maximize the final integer, any of them will be accepted.
M
x_1 y_1
:
x_{N-1} y_{N-1}
Examples
Input
3
1 -1 2
Output
4
-1 1
2 -2
Input
3
1 1 1
Output
1
1 1
1 0
Submitted Solution:
```
def f():
import sys
input=sys.stdin.buffer.readlines
sys.setrecursionlimit(10**9)
from collections import defaultdict
n,*l=input()
l=sorted(map(int,l[0].split()))
ret=[]
n=int(n)
c=n%2
if c:
ret.append((l[0],l[1]))
now=l[0]-l[1]
else:
ret.append((l[1],l[0]))
now=l[1]-l[0]
for i in range(2,n):
if i%2!=c:
ret.append((l[i],now))
now=l[i]-now
else:
ret.append((now,l[i]))
now-=l[i]
print(now)
for x in ret:print(*x)
if __name__ == "__main__":
f()
``` | instruction | 0 | 66,273 | 5 | 132,546 |
No | output | 1 | 66,273 | 5 | 132,547 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
0 3 1 7 5 9 8 6 4 2
7 0 9 2 1 5 4 8 6 3
4 2 0 6 8 7 1 3 5 9
1 7 5 0 9 8 3 4 2 6
6 1 2 3 0 4 5 9 7 8
3 6 7 4 2 0 9 5 8 1
5 8 6 9 7 2 0 1 3 4
8 9 4 5 3 6 2 0 1 7
9 4 3 8 6 1 7 2 0 5
2 5 8 1 4 3 6 7 9 0
Output
0 | instruction | 0 | 66,407 | 5 | 132,814 |
"Correct Solution:
```
from itertools import product
T = [list(map(int, input().split())) for i in range(10)]
def calc(v):
val = 0
for e in v:
val = T[val][e]
return val
ans = 0
for code in product(range(10), repeat=4):
e = calc(code)
ok = 1
code = list(code) + [e]
for i in range(5):
d = code[:]
for j in range(10):
if code[i] == j:
continue
d[i] = j
if calc(d) == 0:
ok = 0
for i in range(4):
d = code[:]
if d[i] == d[i+1]:
continue
d[i], d[i+1] = d[i+1], d[i]
if calc(d) == 0:
ok = 0
if ok == 0:
ans += 1
print(ans)
``` | output | 1 | 66,407 | 5 | 132,815 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
0 3 1 7 5 9 8 6 4 2
7 0 9 2 1 5 4 8 6 3
4 2 0 6 8 7 1 3 5 9
1 7 5 0 9 8 3 4 2 6
6 1 2 3 0 4 5 9 7 8
3 6 7 4 2 0 9 5 8 1
5 8 6 9 7 2 0 1 3 4
8 9 4 5 3 6 2 0 1 7
9 4 3 8 6 1 7 2 0 5
2 5 8 1 4 3 6 7 9 0
Output
0 | instruction | 0 | 66,408 | 5 | 132,816 |
"Correct Solution:
```
import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time,copy,functools
sys.setrecursionlimit(10**7)
inf = 10**20
eps = 1.0 / 10**10
mod = 998244353
def LI(): return [int(x) for x in sys.stdin.readline().split()]
def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()]
def LF(): return [float(x) for x in sys.stdin.readline().split()]
def LS(): return sys.stdin.readline().split()
def I(): return int(sys.stdin.readline())
def F(): return float(sys.stdin.readline())
def S(): return input()
def pf(s): return print(s, flush=True)
def main():
rr = []
while True:
a = [LI() for _ in range(10)]
sm = {}
for i in range(10**4):
c = 0
t = 10**3
while t > 0:
k = i // t % 10
c = a[c][k]
t //= 10
sm[i] = c
e = collections.defaultdict(set)
for i in range(10):
for j in range(10):
for k in range(10):
for l in range(10):
t = i * 1000 + j * 100 + k * 10 + l
for m in range(10):
if i != m:
u = m * 1000 + j * 100 + k * 10 + l
e[t].add(u)
if j != m:
u = i * 1000 + m * 100 + k * 10 + l
e[t].add(u)
if k != m:
u = i * 1000 + j * 100 + m * 10 + l
e[t].add(u)
if l != m:
u = i * 1000 + j * 100 + k * 10 + m
e[t].add(u)
if i != j:
u = j * 1000 + i * 100 + k * 10 + l
e[t].add(u)
if j != k:
u = i * 1000 + k * 100 + j * 10 + l
e[t].add(u)
if k != l:
u = i * 1000 + j * 100 + l * 10 + k
e[t].add(u)
r = 0
for i in range(10**4):
t = sm[i]
if i % 10 != t and a[sm[i - i % 10 + t]][i % 10] == 0:
r += 1
continue
f = False
for m in range(10):
if m == t:
continue
if a[t][m] == 0:
f = True
r += 1
break
if f:
continue
for k in e[i]:
if a[sm[k]][t] == 0:
r += 1
break
rr.append(r)
break
return '\n'.join(map(str, rr))
print(main())
``` | output | 1 | 66,408 | 5 | 132,817 |
Provide a correct Python 3 solution for this coding contest problem.
Example
Input
3 2
R1
Output
3 1 2
4 5 6
7 8 9 | instruction | 0 | 66,419 | 5 | 132,838 |
"Correct Solution:
```
from string import digits
import sys
readline = sys.stdin.readline
write = sys.stdout.write
def solve():
N, L = map(int, readline().split())
S = readline().strip()
*I, = range(N*N)
LRUD = "LRUD"
FS = [[], [], [], []]
for i in range(N):
base = N*i
F = I[:]
for j in range(N):
F[base+j] = base+((j+1) % N)
FS[0].append(F)
F = I[:]
for j in range(N):
F[base+j] = base+((j-1) % N)
FS[1].append(F)
base = i
F = I[:]
for j in range(N):
F[base+N*j] = base+((j+1) % N)*N
FS[2].append(F)
F = I[:]
for j in range(N):
F[base+N*j] = base+((j-1) % N)*N
FS[3].append(F)
def fast_pow(f, n):
r = I[:]
while n:
if n & 1:
r = [f[x] for x in r]
f = [f[x] for x in f]
n >>= 1
return r
S += "$"
cur = 0
def number():
nonlocal cur
r = 0
while S[cur] in digits:
r = 10*r + int(S[cur])
cur += 1 # digits
return r
def expr():
nonlocal cur
f0 = I[:]
while 1:
if S[cur] == '(':
cur += 1 # '('
r1 = expr()
cur += 1 # ')'
num = number()
f1 = fast_pow(r1, num)
elif S[cur] in LRUD:
t = LRUD.index(S[cur])
cur += 1 # LRUD
num = number()
f1 = FS[t][num-1]
else:
break
f0 = [f0[x] for x in f1]
return f0
f = expr()
ans = [str(x+1) for x in f]
for i in range(N):
write(" ".join(ans[i*N:i*N+N]))
write("\n")
solve()
``` | output | 1 | 66,419 | 5 | 132,839 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,436 | 5 | 132,872 |
"Correct Solution:
```
input()
n=list(map(int, input().split()))
print(min(n), max(n), sum(n))
``` | output | 1 | 66,436 | 5 | 132,873 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,437 | 5 | 132,874 |
"Correct Solution:
```
z = input()
lst = list(map(int, input().split()))
print(min(lst), max(lst), sum(lst))
``` | output | 1 | 66,437 | 5 | 132,875 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,438 | 5 | 132,876 |
"Correct Solution:
```
n = int(input())
L = list(map(int,input().split()))
print(min(L),max(L),sum(L))
``` | output | 1 | 66,438 | 5 | 132,877 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,439 | 5 | 132,878 |
"Correct Solution:
```
n = int(input())
v = list(map(int,input().split()))
print(min(v), max(v), sum(v))
``` | output | 1 | 66,439 | 5 | 132,879 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,440 | 5 | 132,880 |
"Correct Solution:
```
_ = input()
l = list(map(int,input().split()))
print(min(l), max(l), sum(l))
``` | output | 1 | 66,440 | 5 | 132,881 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,441 | 5 | 132,882 |
"Correct Solution:
```
x = input()
a = list(map(int, input().split()))
print(f'{min(a)} {max(a)} {sum(a)}')
``` | output | 1 | 66,441 | 5 | 132,883 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,442 | 5 | 132,884 |
"Correct Solution:
```
n=int(input())
t=list(map(int,input().split()))
a=min(t)
b=max(t)
c=sum(t)
print(a,b,c)
``` | output | 1 | 66,442 | 5 | 132,885 |
Provide a correct Python 3 solution for this coding contest problem.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37 | instruction | 0 | 66,443 | 5 | 132,886 |
"Correct Solution:
```
n = int(input())
Ai = list(map(int, input().split()))
print(min(Ai), max(Ai), sum(Ai))
``` | output | 1 | 66,443 | 5 | 132,887 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
num = input()
l = list(map(int, input().split()))
print(min(l),max(l),sum(l))
``` | instruction | 0 | 66,444 | 5 | 132,888 |
Yes | output | 1 | 66,444 | 5 | 132,889 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
n = input()
li = [int(i) for i in input().split()]
print(min(li), max(li), sum(li))
``` | instruction | 0 | 66,445 | 5 | 132,890 |
Yes | output | 1 | 66,445 | 5 | 132,891 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
x = input()
data = list(map(int, input().split()))
print(min(data), max(data), sum(data))
``` | instruction | 0 | 66,446 | 5 | 132,892 |
Yes | output | 1 | 66,446 | 5 | 132,893 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
input()
l = list(map(int,input().split()))
print(min(l),max(l),sum(l))
``` | instruction | 0 | 66,447 | 5 | 132,894 |
Yes | output | 1 | 66,447 | 5 | 132,895 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
n = int(input())
table = [i for i in range(n)]
print("{} {} {}".format(max(table),min(table),sum(table)))
``` | instruction | 0 | 66,448 | 5 | 132,896 |
No | output | 1 | 66,448 | 5 | 132,897 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
input()
a = list(map(int, input().split()))
s = 0
for i in len(a):
s += i
print(min(a), max(a), s)
``` | instruction | 0 | 66,449 | 5 | 132,898 |
No | output | 1 | 66,449 | 5 | 132,899 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
import sys
x = sys.stdin.readlines()
line = x[1]
a = list(map(int, line.strip()))
min_num = min(a)
max_num = max(a)
sum_num = sum(a)
print("{} {} {}".format(min_num, max_num, sum_num))
``` | instruction | 0 | 66,450 | 5 | 132,900 |
No | output | 1 | 66,450 | 5 | 132,901 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Write a program which reads a sequence of $n$ integers $a_i (i = 1, 2, ... n)$, and prints the minimum value, maximum value and sum of the sequence.
Constraints
* $0 < n \leq 10000$
* $-1000000 \leq a_i \leq 1000000$
Input
In the first line, an integer $n$ is given. In the next line, $n$ integers $a_i$ are given in a line.
Output
Print the minimum value, maximum value and sum in a line. Put a single space between the values.
Example
Input
5
10 1 5 4 17
Output
1 17 37
Submitted Solution:
```
n = int(input())
n_list = [int(i) for i in input().split(" ")]
mini = min(n_list)
maxi = max(n_list)
total = sum(n_list)
print('{0} {1} {2}'.format(mini, maxi, total)
``` | instruction | 0 | 66,451 | 5 | 132,902 |
No | output | 1 | 66,451 | 5 | 132,903 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
from sys import stdin, stdout
import math
T=int(stdin.readline())
for __ in range(T):
N,K=map(int,stdin.readline().split())
count=0
while(N):
if(N%K==0):
N=N//K
count+=1
else:
count+=N-K*(N//K)
N=K*(N//K)
stdout.write(str(count)+"\n")
``` | instruction | 0 | 66,521 | 5 | 133,042 |
Yes | output | 1 | 66,521 | 5 | 133,043 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
import sys
import math
from functools import reduce
n = int(input())
for x in range(n):
n, k = map(int, sys.stdin.readline().split())
counter = 0
while n != 0:
if n % k == 0:
n //= k
counter += 1
else:
t = n % k
n -= t
counter += t
print(counter)
``` | instruction | 0 | 66,522 | 5 | 133,044 |
Yes | output | 1 | 66,522 | 5 | 133,045 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
def steps(n : int, k : int) -> int:
steps = 0
while (n > 0):
if not (n % k):
steps += 1
n //= k
else:
steps += (n%k)
n -= (n%k)
return steps
if __name__ == '__main__':
N = int(input())
for i in range(N):
nk = list(map(int, input().split()))
n, k = nk[0], nk[1]
print(steps(n,k))
``` | instruction | 0 | 66,523 | 5 | 133,046 |
Yes | output | 1 | 66,523 | 5 | 133,047 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
t=int(input())
for _ in range(t):
n,k=map(int,input().split())
w=0
c=0
while n>0:
w=int(n%k)
c=c+w
n=n-w
if ((n%k==0) and (n!=0)):
n=n//k
c+=1
print(int(c))
``` | instruction | 0 | 66,524 | 5 | 133,048 |
Yes | output | 1 | 66,524 | 5 | 133,049 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
t = int(input())
for i in range(t):
ans = 0
n,k = [int(i)for i in input().split()]
if k!=1:
while n>k:
ans+=n%k
n-=n%k
while n%k==0:
n//=k
ans+=1
print(ans+n)
elif n!=1 and n==k:
print(2)
else:
print(n)
``` | instruction | 0 | 66,525 | 5 | 133,050 |
No | output | 1 | 66,525 | 5 | 133,051 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
#import sys
#import math
#sys.stdout=open("C:/Users/pipal/OneDrive/Desktop/VS code/python/output.txt","w")
#sys.stdin=open("C:/Users/pipal/OneDrive/Desktop/VS code/python/input.txt","r")
t=int(input())
for i in range(t):
#n=int(input())
c=0
n,k=(map(int,input().split()))
while(True):
if n%k==0:
c+=1
n=n//k
else:
c+=n%k
n=n-(n%k)
n=n//k
c+=1
if n<k:
c+=n
break
print(c)
``` | instruction | 0 | 66,526 | 5 | 133,052 |
No | output | 1 | 66,526 | 5 | 133,053 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
T=int(input())
while(T):
n,k=map(int,input().split())
c=0
while(n):
if((n%k)!=0):
c=c+(n%k)
n=n-(n%k)
else:
n=n/k
c=c+1
c=int(c)
print(c)
T=T-1
``` | instruction | 0 | 66,527 | 5 | 133,054 |
No | output | 1 | 66,527 | 5 | 133,055 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an integer n and an integer k.
In one step you can do one of the following moves:
* decrease n by 1;
* divide n by k if n is divisible by k.
For example, if n = 27 and k = 3 you can do the following steps: 27 β 26 β 25 β 24 β 8 β 7 β 6 β 2 β 1 β 0.
You are asked to calculate the minimum number of steps to reach 0 from n.
Input
The first line contains one integer t (1 β€ t β€ 100) β the number of queries.
The only line of each query contains two integers n and k (1 β€ n β€ 10^{18}, 2 β€ k β€ 10^{18}).
Output
For each query print the minimum number of steps to reach 0 from n in single line.
Example
Input
2
59 3
1000000000000000000 10
Output
8
19
Note
Steps for the first test case are: 59 β 58 β 57 β 19 β 18 β 6 β 2 β 1 β 0.
In the second test case you have to divide n by k 18 times and then decrease n by 1.
Submitted Solution:
```
#!/usr/bin/env python
for t in range(int(input())):
n, k = map(int, input().split())
c = 0
while n > 0:
c += n % k
n //= k
print(c)
``` | instruction | 0 | 66,528 | 5 | 133,056 |
No | output | 1 | 66,528 | 5 | 133,057 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have matrix a of size n Γ n. Let's number the rows of the matrix from 1 to n from top to bottom, let's number the columns from 1 to n from left to right. Let's use aij to represent the element on the intersection of the i-th row and the j-th column.
Matrix a meets the following two conditions:
* for any numbers i, j (1 β€ i, j β€ n) the following inequality holds: aij β₯ 0;
* <image>.
Matrix b is strictly positive, if for any numbers i, j (1 β€ i, j β€ n) the inequality bij > 0 holds. You task is to determine if there is such integer k β₯ 1, that matrix ak is strictly positive.
Input
The first line contains integer n (2 β€ n β€ 2000) β the number of rows and columns in matrix a.
The next n lines contain the description of the rows of matrix a. The i-th line contains n non-negative integers ai1, ai2, ..., ain (0 β€ aij β€ 50). It is guaranteed that <image>.
Output
If there is a positive integer k β₯ 1, such that matrix ak is strictly positive, print "YES" (without the quotes). Otherwise, print "NO" (without the quotes).
Examples
Input
2
1 0
0 1
Output
NO
Input
5
4 5 6 1 2
1 2 3 4 5
6 4 1 2 4
1 1 1 1 1
4 4 4 4 4
Output
YES
Submitted Solution:
```
class Matrix:
def __init__(self, n=0, data=None):
self.n = n
if self.n == 0:
self.n = int(input())
self.data = []
for i in range(self.n):
self.data.append(list(map(lambda x: bool(int(x)), input().split())))
else:
self.data = data
if self.data == None:
self.data = [[True if i == j else False for j in range(n)] for i in range(n)]
def __mul__(self, m):
ans = Matrix(self.n)
for i in range(self.n):
for j in range(self.n):
ans.data[i][j] = False
for k in range(self.n):
if self.data[i][j] and m.data[k][j]:
ans.data[i][j] = True
return ans
def __pow__(self, e):
it = Matrix(self.n, self.data)
ans = Matrix(self.n)
while e > 0:
if e & 1:
ans *= it
it *= it
e >>= 1
return ans
def __str__(self):
return "\n".join(("{:3d} " * self.n).format(*self.data[i]) for i in range(self.n))
m = Matrix()
x = int(1e5 / m.n**2 - 1)
n = m**x
positive = True
for i in range(m.n):
for j in range(m.n):
if not m.data[i][j]:
positive = False
break
print("YES" if positive else "NO")
``` | instruction | 0 | 66,736 | 5 | 133,472 |
No | output | 1 | 66,736 | 5 | 133,473 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have matrix a of size n Γ n. Let's number the rows of the matrix from 1 to n from top to bottom, let's number the columns from 1 to n from left to right. Let's use aij to represent the element on the intersection of the i-th row and the j-th column.
Matrix a meets the following two conditions:
* for any numbers i, j (1 β€ i, j β€ n) the following inequality holds: aij β₯ 0;
* <image>.
Matrix b is strictly positive, if for any numbers i, j (1 β€ i, j β€ n) the inequality bij > 0 holds. You task is to determine if there is such integer k β₯ 1, that matrix ak is strictly positive.
Input
The first line contains integer n (2 β€ n β€ 2000) β the number of rows and columns in matrix a.
The next n lines contain the description of the rows of matrix a. The i-th line contains n non-negative integers ai1, ai2, ..., ain (0 β€ aij β€ 50). It is guaranteed that <image>.
Output
If there is a positive integer k β₯ 1, such that matrix ak is strictly positive, print "YES" (without the quotes). Otherwise, print "NO" (without the quotes).
Examples
Input
2
1 0
0 1
Output
NO
Input
5
4 5 6 1 2
1 2 3 4 5
6 4 1 2 4
1 1 1 1 1
4 4 4 4 4
Output
YES
Submitted Solution:
```
class Matrix:
def __init__(self, n=0, data=None):
self.n = n
if self.n == 0:
self.n = int(input())
self.data = []
for i in range(self.n):
self.data.append(list(map(lambda x: bool(int(x)), input().split())))
else:
self.data = data
if self.data == None:
self.data = [[True if i == j else False for j in range(n)] for i in range(n)]
def __mul__(self, m):
ans = Matrix(self.n)
for i in range(self.n):
for j in range(self.n):
ans.data[i][j] = False
for k in range(self.n):
if self.data[i][j] and m.data[k][j]:
ans.data[i][j] = True
return ans
def __pow__(self, e):
it = Matrix(self.n, self.data)
ans = Matrix(self.n)
while e > 0:
if e & 1:
ans *= it
it *= it
e >>= 1
return ans
def __str__(self):
return "\n".join(("{:3d} " * self.n).format(*self.data[i]) for i in range(self.n))
m = Matrix()
x = int(1e3 / m.n**2 - 1)
n = m**x
positive = True
for i in range(m.n):
for j in range(m.n):
if not m.data[i][j]:
positive = False
break
print("YES" if positive else "NO")
``` | instruction | 0 | 66,737 | 5 | 133,474 |
No | output | 1 | 66,737 | 5 | 133,475 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have matrix a of size n Γ n. Let's number the rows of the matrix from 1 to n from top to bottom, let's number the columns from 1 to n from left to right. Let's use aij to represent the element on the intersection of the i-th row and the j-th column.
Matrix a meets the following two conditions:
* for any numbers i, j (1 β€ i, j β€ n) the following inequality holds: aij β₯ 0;
* <image>.
Matrix b is strictly positive, if for any numbers i, j (1 β€ i, j β€ n) the inequality bij > 0 holds. You task is to determine if there is such integer k β₯ 1, that matrix ak is strictly positive.
Input
The first line contains integer n (2 β€ n β€ 2000) β the number of rows and columns in matrix a.
The next n lines contain the description of the rows of matrix a. The i-th line contains n non-negative integers ai1, ai2, ..., ain (0 β€ aij β€ 50). It is guaranteed that <image>.
Output
If there is a positive integer k β₯ 1, such that matrix ak is strictly positive, print "YES" (without the quotes). Otherwise, print "NO" (without the quotes).
Examples
Input
2
1 0
0 1
Output
NO
Input
5
4 5 6 1 2
1 2 3 4 5
6 4 1 2 4
1 1 1 1 1
4 4 4 4 4
Output
YES
Submitted Solution:
```
from functools import reduce
n = int(input())
A = []
for i in range(n):
A.append(list(map(int, input().split())))
flag = False
for i in range(n):
if A[i][i] > 0:
if reduce(lambda x,y: x*y, A[i]) > 0 and reduce(lambda a,b: a*b, [A[k][i] for k in range(n)]) > 0:
flag = True
if flag:
print("YES")
else:
print("NO")
``` | instruction | 0 | 66,738 | 5 | 133,476 |
No | output | 1 | 66,738 | 5 | 133,477 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
def seg(x, y, h):
A = [x - h, x + h]
B = [y - h, y + h]
Z = []
for a in A:
for b in B:
Z.append(a * b)
Z.sort()
return (Z[0], Z[-1])
def check(a, b, c, d, h):
x1, y1 = seg(a, d, h)
x2, y2 = seg(b, c, h)
return max(x1, x2) <= min(y1, y2)
a, b = map(int, input().split())
c, d = map(int, input().split())
l = 0
r = max(abs(a), abs(b), abs(c), abs(d))
for i in range(100):
m = (l + r) / 2
if check(a, b, c, d, m):
r = m
else:
l = m
print((r + l) / 2)
``` | instruction | 0 | 66,792 | 5 | 133,584 |
Yes | output | 1 | 66,792 | 5 | 133,585 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
a, b = map(int, input().split())
c, d = map(int, input().split())
z = a * d - b * c
if z == 0:
print(0)
exit()
t = max(abs(a + b + c + d), abs(a + d - c - b), abs(a + c - b - d), abs(a + b - c - d))
print(abs(z / t))
``` | instruction | 0 | 66,793 | 5 | 133,586 |
Yes | output | 1 | 66,793 | 5 | 133,587 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
from decimal import *
getcontext().prec = 20
a, b = map(int, input().split(' '))
c, d = map(int, input().split(' '))
lo = 0
hi = 10 ** 9
hrd = 0
while abs(Decimal(lo) - Decimal(hi)) > 10 ** (-10) and hrd < 10000:
mid = (lo + hi) / 2
a1 = a - mid
a2 = a + mid
b1 = b - mid
b2 = b + mid
c1 = c - mid
c2 = c + mid
d1 = d - mid
d2 = d + mid
l = False
h = False
for i in [a1*d1, a1*d2, a2*d1, a2*d2]:
for j in [b1*c1, b1*c2, b2*c1, b2*c2]:
if i - j <= 0:
l = True
if i - j >= 0:
h = True
if l and h:
hi = mid
else:
lo = mid
hrd += 1
print(Decimal(hi))
``` | instruction | 0 | 66,794 | 5 | 133,588 |
Yes | output | 1 | 66,794 | 5 | 133,589 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
import sys
A,B,C,D=map(int,sys.stdin.read().split())
k=max(map(abs,[A+B+C+D,A+B-C-D,A-B+C-D,A-B-C+D]))+1e-9
print('%.9f'%(0,abs(A*D-B*C)/k)[bool(k)])
``` | instruction | 0 | 66,795 | 5 | 133,590 |
Yes | output | 1 | 66,795 | 5 | 133,591 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
A,B=map(int,input().split())
C,D=map(int,input().split())
X,Y=C,B
Z,T=D,A
if A*D>C*D:
X,Y=A,D
Z,T=C,B
F=[]
try:
F.append(abs((X*Y-Z*T)/sum([X,Y,Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([-X,Y,Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([X,-Y,Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([X,Y,-Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([X,Y,Z,-T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([-X,-Y,Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([-X,Y,-Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([-X,Y,Z,-T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([X,-Y,-Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([X,-Y,Z,-T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([X,Y,-Z,-T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([-X,-Y,-Z,T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([-X,-Y,Z,-T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([-X,Y,-Z,-T])))
except:
pass
try:
F.append(abs((X*Y-Z*T)/sum([X,-Y,-Z,-T])))
except:
pass
print(min(F))
``` | instruction | 0 | 66,796 | 5 | 133,592 |
No | output | 1 | 66,796 | 5 | 133,593 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
__author__ = 'ΠΠ°Π½ΠΈΠ»Π°'
a, b = map(int, input().split())
c, d = map(int, input().split())
if a*d-b*c == 0:
print(0)
else:
det = a*d - b*c
k = max(a + d + b + c, a - b + c - d, a - b - c + d, a + d - b - c, -a + b - d + c, -a + b - c + d)
a1 = abs(det/k)
print(a1)
``` | instruction | 0 | 66,797 | 5 | 133,594 |
No | output | 1 | 66,797 | 5 | 133,595 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
#!/usr/bin/env python
# -*- coding: utf-8 -*-
a,b = map(int,input().split())
c,d = map(int,input().split())
print(abs((a*d - b*c)/(a+b+c+d)))
``` | instruction | 0 | 66,798 | 5 | 133,596 |
No | output | 1 | 66,798 | 5 | 133,597 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The determinant of a matrix 2 Γ 2 is defined as follows:
<image>
A matrix is called degenerate if its determinant is equal to zero.
The norm ||A|| of a matrix A is defined as a maximum of absolute values of its elements.
You are given a matrix <image>. Consider any degenerate matrix B such that norm ||A - B|| is minimum possible. Determine ||A - B||.
Input
The first line contains two integers a and b (|a|, |b| β€ 109), the elements of the first row of matrix A.
The second line contains two integers c and d (|c|, |d| β€ 109) the elements of the second row of matrix A.
Output
Output a single real number, the minimum possible value of ||A - B||. Your answer is considered to be correct if its absolute or relative error does not exceed 10 - 9.
Examples
Input
1 2
3 4
Output
0.2000000000
Input
1 0
0 1
Output
0.5000000000
Note
In the first sample matrix B is <image>
In the second sample matrix B is <image>
Submitted Solution:
```
a , b = map(int, input().split());
x , y = map(int , input().split());
det = abs(a*y - b*x);
print( det / (abs(a)+abs(b)+abs(x)+abs(y)));
``` | instruction | 0 | 66,799 | 5 | 133,598 |
No | output | 1 | 66,799 | 5 | 133,599 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
n= int( input())
a = input().split()
d = [0 for x in range(n)]
dist = n
for i in range(n):
if a[i] == '0':
dist = 0
j = i
while d[j] >= dist and j >= 0:
d[j] = dist
dist += 1
j -= 1
dist = 0
else:
dist += 1
d[i] = dist
print(" ".join([str(i) for i in d]))
``` | instruction | 0 | 66,909 | 5 | 133,818 |
Yes | output | 1 | 66,909 | 5 | 133,819 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
n=int(input())
L=list(map(int,input().split(' ')))
zeros=[]
zeros.append(10000000)
for i in range(n):
if L[i]==0:
zeros.append(i)
k=len(zeros)
j=1
dist=[]
for i in range(n):
if j<k-1 and i-zeros[j]==0:
j=j+1
dist.append(min(abs(i-zeros[j-1]),abs(i-zeros[j])))
for i in range(n-1):
print(dist[i],end=' ')
print(dist[len(dist)-1])
``` | instruction | 0 | 66,910 | 5 | 133,820 |
Yes | output | 1 | 66,910 | 5 | 133,821 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
n = int(input())
valores = [int(e) for e in input().split(' ')]
d_i = 1000000
distancias = [0 for i in range(n)]
for i in range(len(distancias)):
d_i += 1
distancias[i] = d_i
if valores[i] == 0:
distancias[i] = 0
d_i = 0
teste = False
for i in range(len(valores)-1, -1, -1):
if valores[i] == 0:
d_i = 0
teste = True
if teste:
if d_i < distancias[i]:
distancias[i] = d_i
d_i += 1
[print(e, end=' ') for e in distancias]
``` | instruction | 0 | 66,911 | 5 | 133,822 |
Yes | output | 1 | 66,911 | 5 | 133,823 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
from sys import maxsize, stdout, stdin, stderr
# mod = int(1e9 + 7)
import re # can use multiple splits
tup = lambda: map(int, stdin.readline().split())
I = lambda: int(stdin.readline())
lint = lambda: [int(x) for x in stdin.readline().split()]
S = lambda: stdin.readline().replace('\n', '').strip()
def grid(r, c): return [lint() for i in range(r)]
def debug(*args, c=6): print('\033[3{}m'.format(c), *args, '\033[0m', file=stderr)
stpr = lambda x : stdout.write(f'{x}' + '\n')
star = lambda x : print(' '.join(map(str , x)))
#use join for output
n = I()
ls =lint()
arr =[n]*n
d = n
for i in range(n):
if ls[i]==0:
d=0
else:
d+=1
arr[i] = d
d = n
for i in range(n-1,-1,-1):
if ls[i]==0:
d=0
else:
d+=1
arr[i] = min(d , arr[i])
star(arr)
``` | instruction | 0 | 66,912 | 5 | 133,824 |
Yes | output | 1 | 66,912 | 5 | 133,825 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
ind = []
x = 0
n = int(input())
listArray = [int(y) for y in input().split()]
for i in range(n):
if listArray[i] == 0:
ind.append(i)
ind.append(200001)
temp = 2000001
for i in range(n):
if i <= ind[x]:
print(min((ind[x] - i), abs(i - temp)))
else:
temp = ind[x]
x = x + 1
if listArray[i] == 0:
print(0)
else:
print(1)
``` | instruction | 0 | 66,913 | 5 | 133,826 |
No | output | 1 | 66,913 | 5 | 133,827 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
import sys
ints = [abs(int(l))*9999999 for l in sys.stdin.readlines()[1].strip().split(' ')]
for _ in range(2):
ints = list(reversed(ints))
last = None
for i, n in enumerate(list(ints)):
if not n:
last = i
if last is not None:
ints[i] = i - last
print(" ".join(map(str, ints)))
``` | instruction | 0 | 66,914 | 5 | 133,828 |
No | output | 1 | 66,914 | 5 | 133,829 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
n = int(input())
s = input().split()
z = 0
flag = 0
c = 0
for x in s:
e = int(x)
if e == 0:
if z == 0:
for i in range(c, 0, -1):
print(i, end=" ")
else:
for i in range(1, (c + 1) // 2 + 1):
print(i, end=" ")
for i in range(((c + 1) // 2) - ((c + 1) % 2) - 1, 0, -1):
print(i, end=" ")
if flag == 0:
z += 1
flag = 1
c = 0
print("0", end=" ")
else:
c += 1
flag = 0
for i in range(1, c + 1):
print(i, end=" ")
``` | instruction | 0 | 66,915 | 5 | 133,830 |
No | output | 1 | 66,915 | 5 | 133,831 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given the array of integer numbers a0, a1, ..., an - 1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input
The first line contains integer n (1 β€ n β€ 2Β·105) β length of the array a. The second line contains integer elements of the array separated by single spaces ( - 109 β€ ai β€ 109).
Output
Print the sequence d0, d1, ..., dn - 1, where di is the difference of indices between i and nearest j such that aj = 0. It is possible that i = j.
Examples
Input
9
2 1 0 3 0 0 3 2 4
Output
2 1 0 1 0 0 1 2 3
Input
5
0 1 2 3 4
Output
0 1 2 3 4
Input
7
5 6 0 1 -2 3 4
Output
2 1 0 1 2 3 4
Submitted Solution:
```
amount = input()
arr = input()
arr = list(arr)
arr = filter(lambda x: x != ' ',arr)
arr = list(map(int,arr))
print(arr)
zeros = []
for x in range(len(arr)):
if arr[x] == 0:
zeros.append(x)
ranges = [(zeros[x],int((zeros[x] + zeros[x+1])/2)) for x in range(len(zeros) - 1)]
print(ranges)
for i in range(zeros[0]):
arr[i] = abs(i - zeros[0])
counter = 0
for i in range(zeros[0],zeros[-1]):
if i > ranges[counter][1]:
counter+=1
arr[i] = abs(i - ranges[counter][0])
for i in range(zeros[-1],len(arr)):
arr[i] = abs( i - zeros[-1])
print(arr)
``` | instruction | 0 | 66,916 | 5 | 133,832 |
No | output | 1 | 66,916 | 5 | 133,833 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.)
* Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1.
It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations.
You are given the sequence a_i. Find the number of times we will perform the above operation.
Constraints
* 2 β€ N β€ 50
* 0 β€ a_i β€ 10^{16} + 1000
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the number of times the operation will be performed.
Examples
Input
4
3 3 3 3
Output
0
Input
3
1 0 3
Output
1
Input
2
2 2
Output
2
Input
7
27 0 0 0 0 0 0
Output
3
Input
10
1000 193 256 777 0 1 1192 1234567891011 48 425
Output
1234567894848 | instruction | 0 | 67,092 | 5 | 134,184 |
"Correct Solution:
```
printn = lambda x: print(x,end='')
inn = lambda : int(input())
inl = lambda: list(map(int, input().split()))
inm = lambda: map(int, input().split())
ins = lambda : input().strip()
DBG = True # and False
BIG = 10**18
R = 10**9 + 7
def ddprint(x):
if DBG:
print(x)
n = inn()
a = inl()
cnt = 0
while max(a)>n-1:
sm = 0
for i in range(n):
j = a[i]//n
a[i] -= j*(n+1)
sm += j
a = [x+sm for x in a]
cnt += sm
#
print(cnt)
#ddprint(foo(0))
#ddprint(foo(1))
``` | output | 1 | 67,092 | 5 | 134,185 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.)
* Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1.
It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations.
You are given the sequence a_i. Find the number of times we will perform the above operation.
Constraints
* 2 β€ N β€ 50
* 0 β€ a_i β€ 10^{16} + 1000
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the number of times the operation will be performed.
Examples
Input
4
3 3 3 3
Output
0
Input
3
1 0 3
Output
1
Input
2
2 2
Output
2
Input
7
27 0 0 0 0 0 0
Output
3
Input
10
1000 193 256 777 0 1 1192 1234567891011 48 425
Output
1234567894848 | instruction | 0 | 67,093 | 5 | 134,186 |
"Correct Solution:
```
def main():
import sys,math
input = sys.stdin.readline
n = int(input())
a = list(map(int,input().split()))
res = 0
judge = True
for e in a:
if e >= n:
judge = False
break
if judge:
print(res)
return
x = 0
while True:
if a[x] <= n-1:
x += 1
if x == n:
x = 0
continue
p = (a[x]//n)
a[x] -= p*n
res += p
judge = True
for i in range(n):
if i == x:
continue
a[i] += p
if a[i] >= n:
judge = False
if judge:
print(res)
return
x += 1
if x == n:
x = 0
if __name__ == '__main__':
main()
``` | output | 1 | 67,093 | 5 | 134,187 |
Provide a correct Python 3 solution for this coding contest problem.
We have a sequence of length N consisting of non-negative integers. Consider performing the following operation on this sequence until the largest element in this sequence becomes N-1 or smaller. (The operation is the same as the one in Problem D.)
* Determine the largest element in the sequence (if there is more than one, choose one). Decrease the value of this element by N, and increase each of the other elements by 1.
It can be proved that the largest element in the sequence becomes N-1 or smaller after a finite number of operations.
You are given the sequence a_i. Find the number of times we will perform the above operation.
Constraints
* 2 β€ N β€ 50
* 0 β€ a_i β€ 10^{16} + 1000
Input
Input is given from Standard Input in the following format:
N
a_1 a_2 ... a_N
Output
Print the number of times the operation will be performed.
Examples
Input
4
3 3 3 3
Output
0
Input
3
1 0 3
Output
1
Input
2
2 2
Output
2
Input
7
27 0 0 0 0 0 0
Output
3
Input
10
1000 193 256 777 0 1 1192 1234567891011 48 425
Output
1234567894848 | instruction | 0 | 67,094 | 5 | 134,188 |
"Correct Solution:
```
from heapq import*
n=int(input())
a=[-int(e)for e in input().split()]
r=0
heapify(a)
while 1:
x=heappop(a)
if x>-n:break
c=-x//n
x+=c*n
for i in range(n-1):a[i]-=c
heappush(a,x)
r+=c
print(r)
``` | output | 1 | 67,094 | 5 | 134,189 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.