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| metadata
dict | verification_info
dict |
|---|---|---|---|---|---|---|---|
taco | verifiable_code | Solve the following coding problem using the programming language python:
Bob is travelling from one city to another. In his way, he sees many other cities pass by. What he does instead of learning the full names of the cities, he learns just the first character of the cities. For example, if he passes by "bhopal", he will just remember the 'b'.
Given the list of N cities that come in his way, print "YES" or "NO" depending on if he is able to remember all the cities distinctly or not.
Note: City name consists of small English alphabets only.
Input and Output:
First line contains T, the number of testcases. Each testcase consists of N, the number of cities. Next N lines contain the names of the cities.
For each testcase, print "YES" or "NO" (quotes for clarity).
Constraints:
1 β€ T β€ 100
1 β€ N β€ 1000
1 β€ Length of each city name β€ 10
SAMPLE INPUT
2
2
bhopal
delhi
3
bhopal
delhi
dehradun
SAMPLE OUTPUT
YES
NO
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
t=eval(input(''))
cnt=0
while int(t)>int(cnt):
s=input('')
l=[]
for i in range(int(s)):
l.append(str(input(''))[0])
if len(l)!=len(set(l)):
print("NO")
else:
print("YES")
t-=1
``` | vfc_135631 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
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"output": "YES\nYES\nNO\nNO\nYES\nNO\nYES\nYES\nNO\nYES\nYES\nNO\nYES\nNO\nYES\nNO\nYES\nNO\nYES\nYES\nNO\nYES\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nYES\nYES\nNO\nNO\nYES\nYES\nYES\nNO\nNO\nNO\nYES\nYES\nNO\nYES\nYES\nNO\nYES\nYES\nYES\nNO\nYES\nNO\nNO\nNO\nYES\nYES\nYES\nNO\nNO\nYES\nYES\nNO\nNO\nNO\nYES\nNO\nYES\nYES\nYES\nNO\nNO\nNO\nYES\nNO\nYES\nYES\nYES\nNO\nYES\nYES\nYES\nYES\nYES\nNO\nYES\nYES\nYES\nYES\nYES\nNO\nYES\nYES\nYES\nYES\nYES\nYES\nNO\nYES\nYES\nNO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
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"output": "NO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"type": "stdin_stdout"
},
{
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"output": "NO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": 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"output": "NO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": 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"output": "NO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\nNO\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://www.codechef.com/problems/HIGHSCORE | Solve the following coding problem using the programming language python:
Chef is taking a tough examination. The question paper consists of N objective problems and each problem has 4 options A, B, C, and D, out of which, exactly one option is correct.
Since Chef did not study for the exam, he does not know the answer to any of the problems. Chef was looking nearby for help when his friend somehow communicated the following information:
Exactly N_{A} problems have option A as the answer.
Exactly N_{B} problems have option B as the answer.
Exactly N_{C} problems have option C as the answer.
Exactly N_{D} problems have option D as the answer.
Note that:
N_{A} + N_{B} + N_{C} + N_{D} = N.
Each problem is worth exactly 1 mark and there is no negative marking.
Even though Chef knows the number of correct options of each type, he does not know the correct answer to any problem.
Based on the given information, find the maximum marks Chef can guarantee if he marks the answers optimally.
------ Input Format ------
- First line will contain T, number of test cases. Then the test cases follow.
- First line of each test case contains an integer N denoting the number of problems.
- Second line of each test case contains 4 integers N_{A}, N_{B}, N_{C}, and N_{D} - as mentioned in the problem statement.
------ Output Format ------
For each test case, output the maximum marks Chef can guarantee if he marks the answers optimally.
------ Constraints ------
$1 β€ T β€ 1000$
$1 β€ N β€ 10^{5}$
$0 β€ N_{A}, N_{B}, N_{C}, N_{D} β€ N$
$N_{A} + N_{B} + N_{C} + N_{D} = N$
----- Sample Input 1 ------
2
5
0 0 5 0
10
7 1 1 1
----- Sample Output 1 ------
5
7
----- explanation 1 ------
Test Case $1$: Chef knows that all the problems have answer as option $C$ and thus he will mark all the answers as $C$ and get $5$ marks.
Test Case $2$: It will be optimal for Chef to mark all the options as $A$ which will yield him $7$ marks. Thus, irrespective of the answer key, Chef can guarantee $7$ marks by marking all answers as option $A$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
t = int(input())
for i in range(t):
n = int(input())
a = list(map(int, input().strip().split()))
print(max(a))
``` | vfc_135639 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/HIGHSCORE",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n5\n0 0 5 0\n10\n7 1 1 1\n",
"output": "5\n7\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/divisibility-by-9990149/1 | Solve the following coding problem using the programming language python:
You are given a large number N in the form of a string, you have to check whether it is divisible by 999 without dividing or finding modulo of number by 999.
Example 1-
Input:
N = 1998
Output:
Divisible
Example 2 -
Input:
N = 99999999
Output:
Not divisible
Your Task :
Complete the function isDivisible999() that receives a string N denoting number and returns true if the n is divisible by 999 and flse otherwise. The driver code itself prints "Divisible" if the returned value is true and returns "Non Divisible" if returned value is false.
Expected Time Complexity : O(len(N))
Expected Space Complexity : O(1)
Constraints:
1<=|N|<=10^{3}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def isDivisible999(self, N):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def isDivisible999(self, N):
n = int(N)
return n % 999 == 0
``` | vfc_135647 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/divisibility-by-9990149/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 1998",
"output": "Divisible",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/304/D | Solve the following coding problem using the programming language python:
You are given a rectangle grid. That grid's size is n Γ m. Let's denote the coordinate system on the grid. So, each point on the grid will have coordinates β a pair of integers (x, y) (0 β€ x β€ n, 0 β€ y β€ m).
Your task is to find a maximum sub-rectangle on the grid (x1, y1, x2, y2) so that it contains the given point (x, y), and its length-width ratio is exactly (a, b). In other words the following conditions must hold: 0 β€ x1 β€ x β€ x2 β€ n, 0 β€ y1 β€ y β€ y2 β€ m, <image>.
The sides of this sub-rectangle should be parallel to the axes. And values x1, y1, x2, y2 should be integers.
<image>
If there are multiple solutions, find the rectangle which is closest to (x, y). Here "closest" means the Euclid distance between (x, y) and the center of the rectangle is as small as possible. If there are still multiple solutions, find the lexicographically minimum one. Here "lexicographically minimum" means that we should consider the sub-rectangle as sequence of integers (x1, y1, x2, y2), so we can choose the lexicographically minimum one.
Input
The first line contains six integers n, m, x, y, a, b (1 β€ n, m β€ 109, 0 β€ x β€ n, 0 β€ y β€ m, 1 β€ a β€ n, 1 β€ b β€ m).
Output
Print four integers x1, y1, x2, y2, which represent the founded sub-rectangle whose left-bottom point is (x1, y1) and right-up point is (x2, y2).
Examples
Input
9 9 5 5 2 1
Output
1 3 9 7
Input
100 100 52 50 46 56
Output
17 8 86 92
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def gcd(a, b):
while a:
(a, b) = (b % a, a)
return b
(n, m, x, y, a, b) = tuple(map(int, input().strip().split()))
g = gcd(a, b)
a //= g
b //= g
k = min(n // a, m // b)
w = k * a
h = k * b
ans = [x - w + w // 2, y - h + h // 2, x + w // 2, y + h // 2]
if ans[0] < 0:
ans[2] -= ans[0]
ans[0] = 0
if ans[1] < 0:
ans[3] -= ans[1]
ans[1] = 0
if ans[2] > n:
ans[0] -= ans[2] - n
ans[2] = n
if ans[3] > m:
ans[1] -= ans[3] - m
ans[3] = m
print('%d %d %d %d' % tuple(ans))
``` | vfc_135648 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/304/D",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1000000000 1000000000 500000000 500000000 500000000 500000001\n",
"output": "250000000 249999999 750000000 750000000\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/fake-profile3906/1 | Solve the following coding problem using the programming language python:
There is a hacker named "Vijay" who has developed a method to check whether an id at some social networking site is fake or real using its username.
His method includes: if the number of distinct consonent characters in one's user name is odd, then the user is a male, otherwise a female. You are given the string that denotes the user name, please help Vijay to determine the gender of this user by his method. Ignore the vowels.
Note: The input only contains lowercase English alphabets.
Example 1 -
Input
a = "jpmztf"
Output:
SHE!
Explanation:
There are 6 distinct consonent characters in "jpmztf".
These characters are: "j", "p", "m", "z", "t", "f".
So jpmztf is a female and you should print "SHE!".
Example 2 -
Input :
a = "plkaitw"
Output:
HE!
Explanation :
There are 5 distinct consonent characters in "plkaitw".
These characters are: "p"," l ","k","t"and"w" as others are vowels.
So plkaitw is a male and you should print "HE!".
Your Task :
Complete the function solve() that receives the string a and returns the answer.
Expected Time Complexity :O(|a|)
Expected Space Complexity :O(1)
Constraints:
1<=Length of string<=1000
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def solve(self, a):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def solve(self, a):
A = set(a)
B = 'aeiou'
counter = 0
for i in A:
if i not in B:
counter += 1
if counter % 2 == 0:
return 'SHE!'
else:
return 'HE!'
``` | vfc_135652 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/fake-profile3906/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "a = \"jpmztf\"",
"output": "SHE!",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "a = \"plkaitw\"",
"output": "HE!",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Chandan is an extremely biased person, and he dislikes people who fail to solve all the problems in the interview he takes for hiring people. There are n people on a day who came to be interviewed by Chandan.
Chandan rates every candidate from 0 to 10. He has to output the total ratings of all the people who came in a day. But, here's the problem: Chandan gets extremely frustrated when someone ends up scoring a 0 in the interview. So in frustration he ends up removing the candidate who scored that 0, and also removes the candidate who came before him. If there is no candidate before the one who scores a 0, he does nothing.
You've to find the summation of all the ratings in a day for Chandan.
Input constraints:
The first line of input will contain an integer β n. The next n lines will contain an integer, where the i^th integer represents the rating of the i^th person.
Output constraints:
Print the required sum.
Constraints:
1 β€ n β€5 * 10^3
0 β€ Value of ratings β€10
SAMPLE INPUT
5
2
3
0
7
0
SAMPLE OUTPUT
2
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
#!/usr/bin/python
str = input()
n = int(str)
score = []
newArr=[]
sum = 0
for i in range(0, n):
str1 = input()
score.append(int(str1))
for j in range(0, n):
if (score[j] == 0):
if j == 0:
continue
newArr.pop(-1)
else:
newArr.append(score[j])
for k in newArr:
sum += k
print(sum)
``` | vfc_135661 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
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"output": "6821\n",
"type": "stdin_stdout"
},
{
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"output": "15557\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "453\n6\n4\n8\n10\n2\n5\n7\n3\n5\n2\n7\n5\n10\n8\n9\n3\n8\n1\n1\n8\n1\n9\n4\n9\n1\n8\n2\n8\n3\n2\n4\n0\n4\n10\n1\n8\n2\n4\n6\n9\n7\n8\n2\n3\n5\n3\n6\n4\n9\n5\n9\n3\n4\n6\n0\n8\n4\n9\n3\n9\n10\n1\n9\n4\n6\n5\n8\n5\n10\n7\n5\n4\n6\n9\n4\n7\n1\n4\n6\n1\n0\n6\n0\n2\n8\n4\n5\n6\n1\n0\n7\n6\n4\n4\n5\n1\n9\n1\n3\n10\n5\n3\n6\n3\n10\n2\n7\n7\n10\n1\n1\n0\n5\n5\n4\n9\n3\n8\n5\n9\n7\n1\n2\n2\n4\n9\n5\n2\n4\n7\n8\n9\n0\n9\n1\n8\n7\n0\n7\n6\n0\n5\n8\n0\n8\n4\n4\n10\n8\n0\n7\n2\n5\n7\n7\n5\n0\n5\n2\n7\n2\n2\n1\n3\n9\n6\n6\n7\n1\n10\n3\n8\n10\n4\n1\n4\n1\n6\n4\n7\n3\n1\n3\n5\n8\n6\n3\n9\n1\n2\n9\n6\n1\n9\n8\n2\n2\n4\n2\n7\n8\n5\n5\n3\n5\n2\n5\n10\n6\n10\n2\n8\n2\n10\n7\n1\n2\n4\n0\n7\n6\n5\n7\n10\n7\n0\n5\n9\n10\n5\n6\n2\n10\n6\n1\n8\n10\n8\n10\n5\n2\n3\n3\n5\n8\n2\n0\n4\n5\n4\n9\n7\n8\n1\n7\n8\n9\n4\n3\n8\n4\n8\n8\n4\n8\n6\n6\n2\n4\n3\n1\n9\n2\n9\n5\n3\n10\n3\n9\n1\n6\n7\n3\n4\n6\n5\n3\n8\n5\n3\n9\n5\n1\n3\n1\n5\n4\n6\n8\n8\n8\n2\n1\n5\n10\n10\n2\n4\n2\n4\n0\n4\n6\n1\n6\n3\n8\n9\n4\n6\n2\n1\n3\n5\n0\n1\n4\n7\n5\n4\n2\n4\n9\n5\n10\n7\n3\n5\n8\n8\n1\n8\n8\n10\n7\n2\n1\n5\n6\n6\n8\n10\n8\n6\n1\n8\n1\n2\n7\n7\n9\n0\n1\n2\n2\n9\n8\n2\n5\n5\n3\n6\n4\n9\n4\n9\n5\n5\n10\n10\n8\n9\n1\n0\n7\n0\n1\n7\n3\n9\n4\n5\n8\n3\n3\n4\n5\n7\n3\n9\n9\n10\n2\n2\n1\n2\n1\n6\n10\n4\n9\n5\n1\n3\n4\n0\n8\n9\n4\n1\n10\n10\n10\n4\n9\n7\n2\n4\n9\n5\n9\n3\n6\n8\n10\n1\n9\n0\n9\n9\n5\n4\n7\n10\n3\n9\n0\n10\n9\n8\n3\n4\n2\n",
"output": "10420\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/1686/B | Solve the following coding problem using the programming language python:
For an array $[b_1, b_2, \ldots, b_m]$ define its number of inversions as the number of pairs $(i, j)$ of integers such that $1 \le i < j \le m$ and $b_i>b_j$. Let's call array $b$ odd if its number of inversions is odd.
For example, array $[4, 2, 7]$ is odd, as its number of inversions is $1$, while array $[2, 1, 4, 3]$ isn't, as its number of inversions is $2$.
You are given a permutation $[p_1, p_2, \ldots, p_n]$ of integers from $1$ to $n$ (each of them appears exactly once in the permutation). You want to split it into several consecutive subarrays (maybe just one), so that the number of the odd subarrays among them is as large as possible.
What largest number of these subarrays may be odd?
-----Input-----
The first line of the input contains a single integer $t$ ($1 \le t \le 10^5$) β the number of test cases. The description of the test cases follows.
The first line of each test case contains a single integer $n$ ($1 \le n \le 10^5$) β the size of the permutation.
The second line of each test case contains $n$ integers $p_1, p_2, \ldots, p_n$ ($1 \le p_i \le n$, all $p_i$ are distinct) β the elements of the permutation.
The sum of $n$ over all test cases doesn't exceed $2\cdot 10^5$.
-----Output-----
For each test case output a single integer β the largest possible number of odd subarrays that you can get after splitting the permutation into several consecutive subarrays.
-----Examples-----
Input
5
3
1 2 3
4
4 3 2 1
2
1 2
2
2 1
6
4 5 6 1 2 3
Output
0
2
0
1
1
-----Note-----
In the first and third test cases, no matter how we split our permutation, there won't be any odd subarrays.
In the second test case, we can split our permutation into subarrays $[4, 3], [2, 1]$, both of which are odd since their numbers of inversions are $1$.
In the fourth test case, we can split our permutation into a single subarray $[2, 1]$, which is odd.
In the fifth test case, we can split our permutation into subarrays $[4, 5], [6, 1, 2, 3]$. The first subarray has $0$ inversions, and the second has $3$, so it is odd.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
input = sys.stdin.readline
def solve():
n = int(input())
arr = list(map(int, input().split()))
prev = 0
i = ans = 0
while i < n:
if not prev:
prev = arr[i]
elif prev > arr[i]:
ans += 1
prev = 0
else:
prev = arr[i]
i += 1
return ans
for _ in range(int(input())):
print(solve())
``` | vfc_135665 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1686/B",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n3\n1 2 3\n4\n4 3 2 1\n2\n1 2\n2\n2 1\n6\n4 5 6 1 2 3\n",
"output": "0\n2\n0\n1\n1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1717/A | Solve the following coding problem using the programming language python:
Madoka is a very strange girl, and therefore she suddenly wondered how many pairs of integers $(a, b)$ exist, where $1 \leq a, b \leq n$, for which $\frac{\operatorname{lcm}(a, b)}{\operatorname{gcd}(a, b)} \leq 3$.
In this problem, $\operatorname{gcd}(a, b)$ denotes the greatest common divisor of the numbers $a$ and $b$, and $\operatorname{lcm}(a, b)$ denotes the smallest common multiple of the numbers $a$ and $b$.
-----Input-----
The input consists of multiple test cases. The first line contains a single integer $t$ ($1 \le t \le 10^4$) β the number of test cases. Description of the test cases follows.
The first and the only line of each test case contains the integer $n$ ($1 \le n \le 10^8$).
-----Output-----
For each test case output a single integer β the number of pairs of integers satisfying the condition.
-----Examples-----
Input
6
1
2
3
4
5
100000000
Output
1
4
7
10
11
266666666
-----Note-----
For $n = 1$ there is exactly one pair of numbers β $(1, 1)$ and it fits.
For $n = 2$, there are only $4$ pairs β $(1, 1)$, $(1, 2)$, $(2, 1)$, $(2, 2)$ and they all fit.
For $n = 3$, all $9$ pair are suitable, except $(2, 3)$ and $(3, 2)$, since their $\operatorname{lcm}$ is $6$, and $\operatorname{gcd}$ is $1$, which doesn't fit the condition.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
n = int(sys.stdin.readline())
for i in range(n):
b = int(sys.stdin.readline())
print(b + b // 2 * 2 + b // 3 * 2)
``` | vfc_135670 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1717/A",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\n1\n2\n3\n4\n5\n100000000\n",
"output": "1\n4\n7\n10\n11\n266666666\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/109/D | Solve the following coding problem using the programming language python:
Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya got an array consisting of n numbers, it is the gift for his birthday. Now he wants to sort it in the non-decreasing order. However, a usual sorting is boring to perform, that's why Petya invented the following limitation: one can swap any two numbers but only if at least one of them is lucky. Your task is to sort the array according to the specified limitation. Find any possible sequence of the swaps (the number of operations in the sequence should not exceed 2n).
Input
The first line contains an integer n (1 β€ n β€ 105) β the number of elements in the array. The second line contains n positive integers, not exceeding 109 β the array that needs to be sorted in the non-decreasing order.
Output
On the first line print number k (0 β€ k β€ 2n) β the number of the swaps in the sorting. On the following k lines print one pair of distinct numbers (a pair per line) β the indexes of elements to swap. The numbers in the array are numbered starting from 1. If it is impossible to sort the given sequence, print the single number -1.
If there are several solutions, output any. Note that you don't have to minimize k. Any sorting with no more than 2n swaps is accepted.
Examples
Input
2
4 7
Output
0
Input
3
4 2 1
Output
1
1 3
Input
7
77 66 55 44 33 22 11
Output
7
1 7
7 2
2 6
6 7
3 4
5 3
4 5
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def is_lucky(v):
while v > 0:
r = v % 10
if r != 4 and r != 7:
return False
v //= 10
return True
n = int(input())
arr = list(map(int, input().split()))
arr_with_pos = sorted([[a, i] for (i, a) in enumerate(arr)])
(pos, tpos) = (None, None)
not_ordered = set()
need = [i for (_, i) in arr_with_pos]
belong = [0] * n
for i in range(n):
belong[need[i]] = i
for i in range(n):
(a, opos) = arr_with_pos[i]
if pos is None and is_lucky(a):
(pos, tpos) = (opos, i)
if opos != i:
not_ordered.add(opos)
if pos is None:
ordered = True
for i in range(n):
if arr[i] != arr_with_pos[i][0]:
ordered = False
break
print(0 if ordered else -1)
else:
ans = []
while not_ordered:
if pos == tpos:
for first in not_ordered:
break
if first == tpos:
not_ordered.discard(first)
continue
ans.append([pos, first])
need[pos] = first
belong[pos] = belong[first]
need[belong[first]] = pos
belong[first] = tpos
pos = first
else:
ans.append([need[pos], pos])
not_ordered.discard(pos)
pos = need[pos]
need[tpos] = pos
belong[pos] = tpos
print(len(ans))
for (p1, p2) in ans:
print(p1 + 1, p2 + 1)
``` | vfc_135674 | {
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/109/D",
"time_limit": "3.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10\n8 4 7 5 9 5 8 5 10 1000\n",
"output": "10\n2 1\n1 2\n2 4\n4 3\n3 6\n6 4\n4 8\n8 5\n5 6\n6 1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/651/D | Solve the following coding problem using the programming language python:
Vasya's telephone contains n photos. Photo number 1 is currently opened on the phone. It is allowed to move left and right to the adjacent photo by swiping finger over the screen. If you swipe left from the first photo, you reach photo n. Similarly, by swiping right from the last photo you reach photo 1. It takes a seconds to swipe from photo to adjacent.
For each photo it is known which orientation is intended for it β horizontal or vertical. Phone is in the vertical orientation and can't be rotated. It takes b second to change orientation of the photo.
Vasya has T seconds to watch photos. He want to watch as many photos as possible. If Vasya opens the photo for the first time, he spends 1 second to notice all details in it. If photo is in the wrong orientation, he spends b seconds on rotating it before watching it. If Vasya has already opened the photo, he just skips it (so he doesn't spend any time for watching it or for changing its orientation). It is not allowed to skip unseen photos.
Help Vasya find the maximum number of photos he is able to watch during T seconds.
Input
The first line of the input contains 4 integers n, a, b, T (1 β€ n β€ 5Β·105, 1 β€ a, b β€ 1000, 1 β€ T β€ 109) β the number of photos, time to move from a photo to adjacent, time to change orientation of a photo and time Vasya can spend for watching photo.
Second line of the input contains a string of length n containing symbols 'w' and 'h'.
If the i-th position of a string contains 'w', then the photo i should be seen in the horizontal orientation.
If the i-th position of a string contains 'h', then the photo i should be seen in vertical orientation.
Output
Output the only integer, the maximum number of photos Vasya is able to watch during those T seconds.
Examples
Input
4 2 3 10
wwhw
Output
2
Input
5 2 4 13
hhwhh
Output
4
Input
5 2 4 1000
hhwhh
Output
5
Input
3 1 100 10
whw
Output
0
Note
In the first sample test you can rotate the first photo (3 seconds), watch the first photo (1 seconds), move left (2 second), rotate fourth photo (3 seconds), watch fourth photo (1 second). The whole process takes exactly 10 seconds.
Note that in the last sample test the time is not enough even to watch the first photo, also you can't skip it.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import bisect
def preview(n, a, b, t, S):
t -= b + 1 if S[0] else 1
S[0] = False
if t < 0:
return 0
R = []
s = 0
for i in range(1, n):
s += a + (b + 1 if S[i] else 1)
if s > t:
break
R.append(s)
else:
return n
L = []
s = 0
for i in reversed(range(1, n)):
s += a + (b + 1 if S[i] else 1)
if s > t:
break
L.append(s)
m = 1 + max(len(R), len(L))
ai = 0
j = len(L) - 1
for i in range(len(R)):
ai += a
t1 = t - R[i] - ai
if t1 < 0:
break
j = bisect.bisect_right(L, t1, hi=j + 1) - 1
if j < 0:
break
m = max(m, i + j + 3)
ai = 0
j = len(R) - 1
for i in range(len(L)):
ai += a
t1 = t - L[i] - ai
if t1 < 0:
break
j = bisect.bisect_right(R, t1, hi=j + 1) - 1
if j < 0:
break
m = max(m, i + j + 3)
assert m < n
return m
def main():
(n, a, b, t) = readinti()
S = [c == 'w' for c in input()]
print(preview(n, a, b, t, S))
import sys
def readint():
return int(input())
def readinti():
return map(int, input().split())
def readintl():
return list(readinti())
def readintt():
return tuple(readinti())
def readintll(k):
return [readintl() for _ in range(k)]
def readinttl(k):
return [readintt() for _ in range(k)]
def log(*args, **kwargs):
print(*args, **kwargs, file=sys.stderr)
main()
``` | vfc_135678 | {
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/651/D",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "100 20 100 10202\nwwwwhhwhhwhhwhhhhhwwwhhhwwwhwwhwhhwwhhwwwhwwhwwwhwhwhwwhhhwhwhhwhwwhhwhwhwwwhwwwwhwhwwwwhwhhhwhwhwww\n",
"output": "100",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7 1 100 8\nhhhwwwh\n",
"output": "4",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 2 4 12\nhhhwh\n",
"output": "4",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Regional Students's are taught to add multi-digit numbers from right-to-left one digit at a time.
Many find the "carry" operation - in which 1 is carried from one digit position
to be added to the next - to be a significant challenge. Your job is to
count the number of carry operations for each of addition problem so that educators may assess their difficulty.
For the input first line contains n number of records which is less then 1000. And then each line contains two numbers with spacing between them as shown in sample.
SAMPLE INPUT
3
123 456
555 555
123 594
SAMPLE OUTPUT
No carry operation
3 carry operations
1 carry operation
Explanation
EXAMPLE 1:-
when the digits are added then there is no carry found as 3+6=9,2+5=7 and 1+4=5.
EXAMPLE 2:-
when the digits are added then carry is generated as 5+5 =10 so carry is found 3 times.
EXAMPLE 3:-
when the digits 9 and 2 are added only then carry is found so 1 time only.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
x=eval(input())
for j in range(x):
a,b=input().split()
a=[int(i) for i in a]
b=[int(i) for i in b]
while len(a)<len(b):
a=[0]+a
while len(b)<len(a):
b=[0]+b
co=0
c=0
for i in range(len(a)-1,-1,-1):
if a[i]+b[i]+c>=10:
c=1
co+=1
else:
c=0
if co==0:
print("No carry operation")
elif co==1:
print("1 carry operation")
else:
print(str(co)+" carry operations")
``` | vfc_135682 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n5555555555 5555555555",
"output": "10 carry operations\nNo carry operation\n1 carry operation",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n5555555555 5555555555\n1111111111 1111111111\n5111111111 5111111111",
"output": "10 carry operations",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n123 456\n555 555\n123 594",
"output": "10 carry operations\nNo carry operation\n1 carry operation\n5 carry operations\n1 carry operation\nNo carry operation\nNo carry operation\nNo carry operation",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "8\n5555555555 5555555555\n1111111111 1111111111\n5111111111 5111111111\n5151515151 5151515151\n1111111115 1111111115\n9999999999 0000000000\n4444444444 5555555555\n5555555555 4444444444",
"output": "No carry operation\n3 carry operations\n1 carry operation",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | Solve the following coding problem using the programming language python:
A palindrome is a string that is the same whether it is read from left to right or from right to left. Chota Bheem likes palindromes a lot. As a birthday gift he received two strings A and B. Now he is curious if there is a way to insert string B into string A so that the resulting string is a palindrome. You agreed to help him and even tell how many different variants of such insertions exist. Two variants are considered different if string B is inserted in different places. Print the number of possible insertion variants.
Input:-
1st line input the number of testcases and next two lines of each test case contains A and B.
Output:-
Print the number of variants.
SAMPLE INPUT
1
aba
b
SAMPLE OUTPUT
2
Explanation
You can insert B in 4 different places:
Before the first letter of A. The result is "baba" and it is not a
palindrome.
After the first letter 'a'. The result is "abba" and it is a
palindrome.
After the letter 'b'.The result is "abba" and it is also a
palindrome.
After the second letter 'a'. The result is "abab" and it is not a
palindrome.
So, the answer for this testcase is 2.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
test= int(input())
for no in range(0,test):
meas= input()
mem= input()
palin_count = 0
for x in range(0,len(meas)+1):
a= meas[:x]+mem+meas[x:]
#print a
if a == a[::-1]:
palin_count= palin_count+1
print(palin_count)
``` | vfc_135686 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10\naba\nb\naa\na\naca\nbb\nabba\nabba\nahfebbefhbbefha\nhfebb\nakimccmikacmika\nakimc\nioajggjajggjaoi\njggja\ndcbaeeddbbdedddbbdeddedbbddeeabcd\nddedbbd\ndebcdbbbcbecaeeeeeeeacebcbbbdcbed\neeeeeee\naaddcbbaeaedbbdeaedbbdeaeabbcddaa\nedbbdea",
"output": "5\n1\n1\n0\n1\n11\n1\n1\n1\n2\n2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "8\nabaa\naaaa\nypdtgyqrjdrjgkrmperucmenpqflppyukmiegqngqmrvatagqi\npmjeupqbxhovqaebuqziueetbxshglimlgqbnmcipdpvcrumdz\neylofwlnrxaoapsuajptrmcgsfkoynrpnfvuvvqimxjrnwdhdo\nqvladmcysshrsmfxgqiglqgxzafbnffcupcupnkngmdzdqywpf\nab\nbda\nabd\nda\njygvyxanpsjhqdjwdyli\nilydwjdqhjapnaxyvgyj\nderbyvvzmfjayaauwozu\nuzowuaayajamzvvybred\ntklkivetkfvvebeexmns\nsnmxeebevvakteviklkt",
"output": "2\n3\n0\n3\n3\n3\n3\n3\n8\n3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "11\naaaa\na\nab\nb\naaa\nab\naba\nc\nbcba\na\naaaaaaaaaa\na\ntttt\nss\nab\na\naaaabbbbaaaa\nacbadabca\nabc\ncba\naaba\na",
"output": "0\n0\n0\n0\n0\n0\n0\n0",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/right-triangle/1 | Solve the following coding problem using the programming language python:
Geek is very fond of patterns. Once, his teacher gave him a pattern to solve. He gave Geek an integer n and asked him to build a pattern.
Help Geek to build a star pattern.
Example 1:
Input: 5
Output:
*
* *
* * *
* * * *
* * * * *
Your Task:
You don't need to input anything. Complete the function printTriangle() which takes an integer n as the input parameter and print the pattern.
Constraints:
1<= N <= 20
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def printTriangle(self, N):
# Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def printTriangle(self, N):
for i in range(1, N + 1):
print('* ' * i)
``` | vfc_135690 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/right-triangle/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5",
"output": "",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/FALSNUM | Solve the following coding problem using the programming language python:
Read problem statements in [Mandarin], [Bengali], [Russian], and [Vietnamese] as well.
One day, Chef's friend gave him a wrong number $W$ containing $N + 1$ digits and said that the actual number $A$ is the largest possible number that can be obtained from deleting exactly one digit of $W$. Chef was able to find $A$ but forgot $W$.
Given $A$, find the smallest possible number $W$ of length $N + 1$ without leading $0$'s that is consistent with the story above. We can show that there is always at least one such $W$ consistent with the story.
------ Input ------
The first line contains an integer $T$, the number of test cases. Then the test cases follow.
Each test case contains a single line of input, an integer $A$.
------ Output ------
For each testcase, output in a single line string representing the answer to the problem.
------ Constraints ------
$1 β€ T β€ 100$
$0 β€ A_{i} β€ 9$ for all valid $i$, where $A_{i}$ denotes the $i$-th digit of $A$
$A_{1} \neq 0$ (no leading zero)
$10 β€ |A| β€ 5000$, where $|A|$ denotes the number of digits of $A$
------ Subtasks ------
Subtask #1 (100 points): Original constraints
----- Sample Input 1 ------
2
9876543211
12345678999
----- Sample Output 1 ------
19876543211
102345678999
----- explanation 1 ------
It can be proven that the above output strings are the smallest possible numbers from which you can arrive at the correct number in the input.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for _ in range(int(input())):
A = int(input())
k = list(str(A))
if k[0] == '1':
k.insert(1, '0')
else:
k.insert(0, '1')
print(int(''.join(k)))
``` | vfc_135691 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/FALSNUM",
"time_limit": "0.5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n9876543211\n12345678999",
"output": "19876543211\n102345678999",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/number-of-days4543/1 | Solve the following coding problem using the programming language python:
Find the number of days required to reach the top of the staircase of Q stairs if one moves R stairs upwards during daytime and S stairs downwards during night.
Example 1:
Input:
R = 5, S = 1, Q = 6
Output:
2
Explanation:
After end of whole first day he will
end up at Stair number 4. Then the next
day, he will reach the top by climbing 2
more stairs.
Example 2:
Input:
R = 2, S = 1, Q = 3
Output:
2
Explanation:
After end of whole first day he will
end up at Stair number 1. Then the next
day, he will reach the top by climbing 2
more stairs.
Your Task:
You don't need to read input or print anything. Your task is to complete the function noOfDays() which takes 3 Integers R,S and Q as input and returns the answer.
Expected Time Complexity: O(1)
Expected Auxiliary Space: O(1)
Constraints:
1 <= S < R <= Q <= 10^{9}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def noOfDays(self, R, S, Q):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import math
class Solution:
def noOfDays(self, R, S, Q):
return math.ceil((Q - S) / (R - S))
``` | vfc_135696 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/number-of-days4543/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "R = 5, S = 1, Q = 6",
"output": "2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "R = 2, S = 1, Q = 3",
"output": "2",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1715/B | Solve the following coding problem using the programming language python:
Stanley defines the beauty of an array $a$ of length $n$, which contains non-negative integers, as follows: $$\sum\limits_{i = 1}^{n} \left \lfloor \frac{a_{i}}{k} \right \rfloor,$$ which means that we divide each element by $k$, round it down, and sum up the resulting values.
Stanley told Sam the integer $k$ and asked him to find an array $a$ of $n$ non-negative integers, such that the beauty is equal to $b$ and the sum of elements is equal to $s$. Help Sam β find any of the arrays satisfying the conditions above.
-----Input-----
Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 1000$). Description of the test cases follows.
The first line of each test case contains integers $n$, $k$, $b$, $s$ ($1 \leq n \leq 10^{5}$, $1 \leq k \leq 10^{9}$, $0 \leq b \leq 10^{9}$, $0 \leq s \leq 10^{18}$).
It is guaranteed that the sum of $n$ over all test cases does not exceed $10^5$.
-----Output-----
For each test case print $-1$ if such array $a$ does not exist. Otherwise print $n$ non-negative integers $a_1, a_2, \ldots, a_n$ ($0 \leq a_{i} \leq 10^{18}$) β the answer.
-----Examples-----
Input
8
1 6 3 100
3 6 3 12
3 6 3 19
5 4 7 38
5 4 7 80
99978 1000000000 100000000 1000000000000000000
1 1 0 0
4 1000000000 1000000000 1000000000000000000
Output
-1
-1
0 0 19
0 3 3 3 29
-1
-1
0
0 0 0 1000000000000000000
-----Note-----
In the first, the second, the fifth and the sixth test cases of the example it is possible to show that such array does not exist.
In the third testcase of the example $a = [0, 0, 19]$. The sum of elements in it is equal to 19, the beauty of it is equal to $\left ( \left \lfloor \frac{0}{6} \right \rfloor + \left \lfloor \frac{0}{6} \right \rfloor + \left \lfloor \frac{19}{6} \right \rfloor \right ) = (0 + 0 + 3) = 3$.
In the fourth testcase of the example $a = [0, 3, 3, 3, 29]$. The sum of elements in it is equal to $38$, the beauty of it is equal to $(0 + 0 + 0 + 0 + 7) = 7$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for _ in range(int(input())):
(n, k, b, s) = map(int, input().split())
nums = 0
if k * b <= s <= k * b + n * (k - 1):
while s - k >= b * k:
s -= k - 1
nums += 1
print('0 ' * (n - nums - 1) + f'{k - 1} ' * nums + str(s))
else:
print(-1)
``` | vfc_135697 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1715/B",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "8\n1 6 3 100\n3 6 3 12\n3 6 3 19\n5 4 7 38\n5 4 7 80\n99978 1000000000 100000000 1000000000000000000\n1 1 0 0\n4 1000000000 1000000000 1000000000000000000\n",
"output": "-1\n-1\n0 0 19\n0 3 3 3 29\n-1\n-1\n0\n0 0 0 1000000000000000000\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n10000 1 1000000000 6674931001459\n10000 6 1000000000 6882544064902\n10000 7 1000000000 7653980089248\n10000 3 1000000000 3460967529230\n10000 5 1000000000 9147128123793\n10000 6 1000000000 7811152157661\n10000 6 1000000000 2369318029856\n10000 3 1000000000 2546849172317\n10000 2 1000000000 9693740807372\n10000 4 1000000000 3211813199219\n",
"output": "-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n10000 26 1000000000 2844970624723\n10000 13 1000000000 6569187615422\n10000 875 1000000000 2277900742329\n10000 983 1000000000 7031687076965\n10000 711 1000000000 9546056823689\n10000 273 1000000000 8397247227674\n10000 186 1000000000 4231234769114\n10000 430 1000000000 7800293394200\n10000 415 1000000000 2569258976107\n10000 814 1000000000 8684399884936\n",
"output": "-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n1 1 10 10\n20 1 1000000000 1\n",
"output": "10\n-1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/104/A | Solve the following coding problem using the programming language python:
One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals n, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals n.
Input
The only line contains n (1 β€ n β€ 25) β the required sum of points.
Output
Print the numbers of ways to get the second card in the required way if the first card is the queen of spades.
Examples
Input
12
Output
4
Input
20
Output
15
Input
10
Output
0
Note
In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = int(input())
if n < 11 or n > 21:
print(0)
elif n == 20:
print(15)
else:
print(4)
``` | vfc_135701 | {
"difficulty": "easy",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/104/A",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "15\n",
"output": "4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "13\n",
"output": "4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "11\n",
"output": "4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/379/C | Solve the following coding problem using the programming language python:
One very well-known internet resource site (let's call it X) has come up with a New Year adventure. Specifically, they decided to give ratings to all visitors.
There are n users on the site, for each user we know the rating value he wants to get as a New Year Present. We know that user i wants to get at least a_{i} rating units as a present.
The X site is administered by very creative and thrifty people. On the one hand, they want to give distinct ratings and on the other hand, the total sum of the ratings in the present must be as small as possible.
Help site X cope with the challenging task of rating distribution. Find the optimal distribution.
-----Input-----
The first line contains integer n (1 β€ n β€ 3Β·10^5) β the number of users on the site. The next line contains integer sequence a_1, a_2, ..., a_{n} (1 β€ a_{i} β€ 10^9).
-----Output-----
Print a sequence of integers b_1, b_2, ..., b_{n}. Number b_{i} means that user i gets b_{i} of rating as a present. The printed sequence must meet the problem conditions.
If there are multiple optimal solutions, print any of them.
-----Examples-----
Input
3
5 1 1
Output
5 1 2
Input
1
1000000000
Output
1000000000
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import os
import sys
from io import BytesIO, IOBase
import heapq as h
from bisect import bisect_left, bisect_right
import time
from types import GeneratorType
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
import os
self.os = os
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = 'x' in file.mode or 'r' not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b'\n') + (not b)
ptr = self.buffer.tell()
(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
self.os.write(self._fd, self.buffer.getvalue())
(self.buffer.truncate(0), self.buffer.seek(0))
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode('ascii'))
self.read = lambda : self.buffer.read().decode('ascii')
self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')
from collections import defaultdict as dd, deque as dq, Counter as dc
import math, string
start_time = time.time()
def getInts():
return [int(s) for s in input().split()]
def getInt():
return int(input())
def getStrs():
return [s for s in input().split()]
def getStr():
return input()
def listStr():
return list(input())
def getMat(n):
return [getInts() for _ in range(n)]
def get_ints():
return map(int, sys.stdin.readline().split())
n = int(input())
arr1 = list(get_ints())
arr = []
for i in range(n):
arr.append([arr1[i], i])
arr = sorted(arr, key=lambda x: x[0])
prev = arr[0][0]
ans = [0] * n
ans[arr[0][1]] = prev
for i in range(1, n):
if prev < arr[i][0]:
ans[arr[i][1]] = arr[i][0]
prev = arr[i][0]
elif prev == arr[i][0]:
prev += 1
ans[arr[i][1]] = prev
else:
prev += 1
ans[arr[i][1]] = prev
print(*ans)
``` | vfc_135709 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/379/C",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n5 1 1\n",
"output": "5 1 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1000000000\n",
"output": "1000000000\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n1 1 1 1 1 1 1 1 1 1\n",
"output": "1 2 3 4 5 6 7 8 9 10\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n1 10 1 10 1 1 7 8 6 7\n",
"output": "1 10 2 11 3 4 7 9 6 8\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n20 19 12 1 12 15 2 12 6 10\n",
"output": "20 19 12 1 13 15 2 14 6 10\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n4 5 10 5 2 14 15 6 10 6\n",
"output": "4 5 10 6 2 14 15 7 11 8\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/count-of-smaller-elements5947/1 | Solve the following coding problem using the programming language python:
Given an sorted array A of size N. Find number of elements which are less than or equal to given element X.
Example 1:
Input:
N = 6
A[] = {1, 2, 4, 5, 8, 10}
X = 9
Output:
5
Example 2:
Input:
N = 7
A[] = {1, 2, 2, 2, 5, 7, 9}
X = 2
Output:
4
Your Task:
You don't need to read input or print anything. Your task is to complete the function countOfElements() which takes the array A[], its size N and an integer X as inputs and returns the number of elements which are less than or equal to given element.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)
Constraints:
1 <= N <= 10^{5}
1 <= A_{i }<= 10^{5}
0 <= X <= 10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
def countOfElements( a, n, x):
```
Your solution should implemented in the function "countOfElements". The inputs will be passed to it and it should return the correct solution.
Now solve the problem and return the code. | ```python
def countOfElements(a, n, x):
low = 0
high = n - 1
position = -1
while low <= high:
mid = low + (high - low) // 2
if a[mid] <= x:
position = mid
low = mid + 1
else:
high = mid - 1
return position + 1
``` | vfc_135713 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/count-of-smaller-elements5947/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": "countOfElements",
"input": "N = 6\r\nA[] = {1, 2, 4, 5, 8, 10}\r\nX = 9",
"output": "5",
"type": "function_call"
},
{
"fn_name": "countOfElements",
"input": "N = 7\r\nA[] = {1, 2, 2, 2, 5, 7, 9}\r\nX = 2",
"output": "4",
"type": "function_call"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Problem Statement
Nathan O. Davis is a student at the department of integrated systems.
Today's agenda in the class is audio signal processing. Nathan was given a lot of homework out. One of the homework was to write a program to process an audio signal. He copied the given audio signal to his USB memory and brought it back to his home.
When he started his homework, he unfortunately dropped the USB memory to the floor. He checked the contents of the USB memory and found that the audio signal data got broken.
There are several characteristics in the audio signal that he copied.
* The audio signal is a sequence of $N$ samples.
* Each sample in the audio signal is numbered from $1$ to $N$ and represented as an integer value.
* Each value of the odd-numbered sample(s) is strictly smaller than the value(s) of its neighboring sample(s).
* Each value of the even-numbered sample(s) is strictly larger than the value(s) of its neighboring sample(s).
He got into a panic and asked you for a help. You tried to recover the audio signal from his USB memory but some samples of the audio signal are broken and could not be recovered. Fortunately, you found from the metadata that all the broken samples have the same integer value.
Your task is to write a program, which takes the broken audio signal extracted from his USB memory as its input, to detect whether the audio signal can be recovered uniquely.
Input
The input consists of multiple datasets. The form of each dataset is described below.
> $N$
> $a_{1}$ $a_{2}$ ... $a_{N}$
The first line of each dataset consists of an integer, $N (2 \le N \le 1{,}000)$. $N$ denotes the number of samples in the given audio signal. The second line of each dataset consists of $N$ values separated by spaces. The $i$-th value, $a_{i}$, is either a character `x` or an integer between $-10^9$ and $10^9$, inclusive. It represents the $i$-th sample of the broken audio signal. If $a_{i}$ is a character `x` , it denotes that $i$-th sample in the audio signal is broken. Otherwise it denotes the value of the $i$-th sample.
The end of input is indicated by a single $0$. This is not included in the datasets.
You may assume that the number of the datasets does not exceed $100$.
Output
For each dataset, output the value of the broken samples in one line if the original audio signal can be recovered uniquely. If there are multiple possible values, output `ambiguous`. If there are no possible values, output `none`.
Sample Input
5
1 x 2 4 x
2
x x
2
1 2
2
2 1
2
1000000000 x
4
x 2 1 x
0
Output for the Sample Input
3
none
ambiguous
none
ambiguous
none
Example
Input
5
1 x 2 4 x
2
x x
2
1 2
2
2 1
2
1000000000 x
4
x 2 1 x
0
Output
3
none
ambiguous
none
ambiguous
none
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
INF = float('inf')
def judge(src):
x_max = INF
x_min = -INF
for (i, (s1, s2)) in enumerate(zip(src, src[1:])):
if s1 == s2:
return 'none'
if i % 2:
(s1, s2) = (s2, s1)
if s1 != 'x' and s2 != 'x':
if s1 < s2:
return 'none'
else:
continue
if s1 == 'x':
if x_max <= s2:
return 'none'
x_min = max(x_min, s2 + 1)
elif s2 == 'x':
if s1 <= x_min:
return 'none'
x_max = min(x_max, s1 - 1)
if x_max < x_min:
return 'none'
return x_max if x_max == x_min else 'ambiguous'
while True:
N = int(input())
if N == 0:
break
src = [INF] + list(map(lambda x: x if x == 'x' else int(x), input().split())) + [INF if N % 2 else -INF]
print(judge(src))
``` | vfc_135714 | {
"difficulty": "unknown_difficulty",
"memory_limit": "536.870912 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "8.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n0 x 2 4 x\n2\nx x\n2\n1 2\n2\n2 1\n2\n1000000000 x\n4\nx 2 1 x\n0",
"output": "3\nnone\nambiguous\nnone\nambiguous\nnone\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n1 x 2 0 x\n2\nx x\n2\n1 2\n2\n2 1\n2\n1000000000 x\n4\nx 2 1 x\n0",
"output": "none\nnone\nambiguous\nnone\nambiguous\nnone\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/find-unique-element2632/1 | Solve the following coding problem using the programming language python:
Given an array of size n which contains all elements occurring in multiples of K, except one element which doesn't occur in multiple of K. Find that unique element.
Example 1:
Input :
n = 7, k = 3
arr[] = {6, 2, 5, 2, 2, 6, 6}
Output :
5
Explanation:
Every element appears 3 times except 5.
Example 2:
Input :
n = 5, k = 4
arr[] = {2, 2, 2, 10, 2}
Output :
10
Explanation:
Every element appears 4 times except 10.
Your Task:
You don't need to read input or print anything. Your task is to complete the function findUnique() which takes the array A[], its size N and an integer K as inputs and returns the element with single occurence.
Expected Time Complexity: O(N. Log(A[i]) )
Expected Auxiliary Space: O( Log(A[i]) )
Constraints:
3<= N<=2*10^{5}
2<= K<=2*10^{5}
1<= A[i]<=10^{9}
Write your solution by modifying this code:
```python
class Solution:
def findUnique(self, a, n, k):
#Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def findUnique(self, a, n, k):
d = {}
for i in a:
if i in d:
d[i] += 1
else:
d[i] = 1
for i in d:
if d[i] % k != 0:
return i
``` | vfc_135718 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/find-unique-element2632/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "n = 7, k = 3\narr[] = {6, 2, 5, 2, 2, 6, 6}",
"output": "5",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/430/E | Solve the following coding problem using the programming language python:
Iahub and Iahubina went to a picnic in a forest full of trees. Less than 5 minutes passed before Iahub remembered of trees from programming. Moreover, he invented a new problem and Iahubina has to solve it, otherwise Iahub won't give her the food.
Iahub asks Iahubina: can you build a rooted tree, such that
* each internal node (a node with at least one son) has at least two sons;
* node i has ci nodes in its subtree?
Iahubina has to guess the tree. Being a smart girl, she realized that it's possible no tree can follow Iahub's restrictions. In this way, Iahub will eat all the food. You need to help Iahubina: determine if there's at least one tree following Iahub's restrictions. The required tree must contain n nodes.
Input
The first line of the input contains integer n (1 β€ n β€ 24). Next line contains n positive integers: the i-th number represents ci (1 β€ ci β€ n).
Output
Output on the first line "YES" (without quotes) if there exist at least one tree following Iahub's restrictions, otherwise output "NO" (without quotes).
Examples
Input
4
1 1 1 4
Output
YES
Input
5
1 1 5 2 1
Output
NO
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def DFS(x):
for i in range(x):
if Seen[i][x]:
continue
if Rem[i] >= C[x]:
if Rem[i] == C[x] and len(Children[i]) == 0:
continue
Rem[i] -= C[x]
Parent[x] = i
Children[i].append(x)
return True
for i in range(x):
if Seen[i][x]:
continue
Y = []
for j in range(len(Children[i])):
child = Children[i][j]
if Seen[i][child]:
continue
Parent[child] = -1
Rem[i] += C[child]
Seen[i][child] = True
Seen[child][i] = True
if DFS(child):
Seen[i][child] = False
Seen[child][i] = False
continue
Seen[i][child] = False
Seen[child][i] = False
Parent[child] = i
Rem[i] -= C[child]
Y.append(child)
Children[i] = list(Y)
if Rem[i] >= C[x]:
if Rem[i] == C[x] and len(Children[i]) == 0:
continue
Rem[i] -= C[x]
Children[i].append(x)
Parent[x] = i
return True
return False
n = int(input())
C = list(map(int, input().split()))
Rem = [-1] * n
Parent = [-1] * n
Children = []
Seen = []
for i in range(n):
Seen.append([False] * n)
C.sort(reverse=True)
if C[0] != n or C.count(2) > 0:
print('NO')
else:
for i in range(n):
Rem[i] = C[i] - 1
Children.append([])
Parent[0] = 0
Ans = 'YES'
for i in range(1, n):
if DFS(i) == False:
Ans = 'NO'
break
for i in range(n):
if Rem[i] != 0 and C[i] != 1:
Ans = 'NO'
break
print(Ans)
``` | vfc_135723 | {
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/430/E",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "18\n6 1 1 3 1 1 1 1 1 1 4 1 8 1 1 18 1 5\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "19\n9 7 1 8 1 1 1 13 1 1 3 3 19 1 1 1 1 1 1\n",
"output": "NO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "23\n1 1 1 1 3 7 3 1 1 1 3 7 1 3 1 15 1 3 7 3 23 1 1\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "24\n8 5 3 1 1 5 10 1 1 1 1 5 1 2 7 3 4 1 1 24 1 1 2 8\n",
"output": "NO",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/search-insert-position-of-k-in-a-sorted-array/1 | Solve the following coding problem using the programming language python:
Given a sorted array Arr[](0-index based) consisting of N distinct integers and an integer k, the task is to find the index of k, if its present in the array Arr[]. Otherwise, find the index where k must be inserted to keep the array sorted.
Example 1:
Input:
N = 4
Arr = {1, 3, 5, 6}
k = 5
Output: 2
Explaination: Since 5 is found at index 2
as Arr[2] = 5, the output is 2.
Example 2:
Input:
N = 4
Arr = {1, 3, 5, 6}
k = 2
Output: 1
Explaination: Since 2 is not present in
the array but can be inserted at index 1
to make the array sorted.
Your Task:
You don't need to read input or print anything. Your task is to complete the function searchInsertK() which takes the array Arr[] and its size N and k as input parameters and returns the index.
Expected Time Complexity: O(logN)
Expected Auxiliary Space: O(1)
Constraints:
1 β€ N β€ 10^{4}
-10^{3} β€ Arr[i] β€ 10^{3}
-10^{3} β€ k β€ 10^{3}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def searchInsertK(self, Arr, N, k):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from bisect import bisect_left
class Solution:
def searchInsertK(self, Arr, N, k):
return bisect_left(Arr, k)
``` | vfc_135728 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/search-insert-position-of-k-in-a-sorted-array/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 4\r\nArr = {1, 3, 5, 6}\r\nk = 5",
"output": "2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 4\r\nArr = {1, 3, 5, 6}\r\nk = 2",
"output": "1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Your task is to write a program which reads a date (from 2004/1/1 to 2004/12/31) and prints the day of the date. Jan. 1, 2004, is Thursday. Note that 2004 is a leap year and we have Feb. 29.
Input
The input is a sequence of datasets. The end of the input is indicated by a line containing one zero. Each dataset consists of two integers m and d separated by a single space in a line. These integers respectively represent the month and the day.
The number of datasets is less than or equal to 50.
Output
For each dataset, print the day (please see the following words) in a line.
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Example
Input
1 1
2 29
0 0
Output
Thursday
Sunday
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
days = [31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]
ans = ['Monday', 'Tuesday', 'Wednesday', 'Thursday', 'Friday', 'Saturday', 'Sunday']
while True:
idx = 3
(m, d) = map(int, input().split())
if m == 0:
break
print(ans[(idx + sum(days[:m - 1]) + d - 1) % 7])
``` | vfc_135729 | {
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 1\n2 26\n0 0",
"output": "Thursday\nThursday\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1\n2 26\n0 0",
"output": "Sunday\nThursday\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1\n3 26\n0 0",
"output": "Thursday\nFriday\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1\n2 17\n0 0",
"output": "Sunday\nTuesday\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1\n2 18\n0 0",
"output": "Sunday\nWednesday\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1\n1 19\n0 0",
"output": "Sunday\nMonday\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/121/A | Solve the following coding problem using the programming language python:
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Let next(x) be the minimum lucky number which is larger than or equals x. Petya is interested what is the value of the expression next(l) + next(l + 1) + ... + next(r - 1) + next(r). Help him solve this problem.
Input
The single line contains two integers l and r (1 β€ l β€ r β€ 109) β the left and right interval limits.
Output
In the single line print the only number β the sum next(l) + next(l + 1) + ... + next(r - 1) + next(r).
Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.
Examples
Input
2 7
Output
33
Input
7 7
Output
7
Note
In the first sample: next(2) + next(3) + next(4) + next(5) + next(6) + next(7) = 4 + 4 + 4 + 7 + 7 + 7 = 33
In the second sample: next(7) = 7
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = input().split()
l = int(n[0])
r = int(n[1])
a = []
x = []
a.append([])
a[0].append('4')
a[0].append('7')
for i in range(1, 10):
a.append([])
for j in a[i - 1]:
a[i].append('4' + j)
a[i].append('7' + j)
for j in a[i]:
x.append(int(j))
x.append(4)
x.append(7)
x.sort()
sum = [16]
for i in range(1, len(x)):
sum.append((x[i] - x[i - 1]) * x[i] + sum[i - 1])
for i in range(len(x)):
if x[i] >= l:
t = i
break
for i in range(len(x)):
if x[i] >= r:
e = i
break
res = sum[e] - sum[t] - x[e] * (x[e] - r) + (x[t] - l + 1) * x[t]
print(res)
``` | vfc_135737 | {
"difficulty": "easy",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/121/A",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "47 47\n",
"output": "47",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "747 748\n",
"output": "1521",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "963 85555574\n",
"output": "7526978888069560",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "474 747\n",
"output": "202794",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/max-sum-subarray-by-removing-at-most-one-element/1 | Solve the following coding problem using the programming language python:
You are given array A of size n. You need to find the maximum-sum sub-array with the condition that you are allowed to skip at most one element.
Example 1:
Input:
n = 5
A[] = {1,2,3,-4,5}
Output: 11
Explanation: We can get maximum sum
subarray by skipping -4.
Example 2:
Input:
n = 8
A[] = {-2,-3,4,-1,-2,1,5,-3}
Output: 9
Explanation: We can get maximum sum
subarray by skipping -2 as [4,-1,1,5]
sums to 9, which is the maximum
achievable sum.
Your Task:
Your task is to complete the function maxSumSubarray that take array and size as parameters and returns the maximum sum.
Expected Time Complexity: O(N).
Expected Auxiliary Space: O(N).
Constraints:
1 <= n <= 100
-10^{3} <= A_{i}<= 10^{3}
Write your solution by modifying this code:
```python
# Your task is to complete this function
class Solution:
#Function to return maximum sum subarray by removing at most one element.
def maxSumSubarray(self, arr, n):
# Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def maxSumSubarray(self, arr, n):
left = [0] * n
right = [0] * n
right[-1] = arr[-1]
left[0] = arr[0]
ans = left[0]
for i in range(1, n):
left[i] = max(left[i - 1] + arr[i], arr[i])
ans = max(ans, left[i])
right[n - 1 - i] = max(right[n - i] + arr[n - 1 - i], arr[n - 1 - i])
ans = max(ans, right[1])
for i in range(1, n - 1):
ans = max(ans, left[i - 1] + right[i + 1])
ans = max(ans, left[n - 2])
return ans
``` | vfc_135741 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/max-sum-subarray-by-removing-at-most-one-element/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "n = 5\nA[] = {1,2,3,-4,5}",
"output": "11",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "n = 8\nA[] = {-2,-3,4,-1,-2,1,5,-3}",
"output": "9",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
A: Alphabet block
Wakana Nakawa loves palindromes. Because my name is also a palindrome.
Wakana got a set with some alphabet blocks. An alphabet block is a block in which one lowercase alphabet is written for each block, and you can create your favorite character string by changing the order of the blocks and combining them. Wakana is wondering if she can make a palindrome with this set.
The following three types of operations are possible in the set of alphabet blocks, and the cost of each operation is 1.
1. Add one alphabet block (any letter is listed)
2. Change one alphabet block you have to another block (whatever the letters are listed)
3. Delete one alphabet block you currently have
I want to make a set that can be rearranged into palindromes by operating the set of alphabet blocks several times. What is the minimum cost of such an operation? Let's think with Wakana-chan.
Input
The input consists of one line of the string S that points to the information in the first set of alphabet blocks.
S consists of lowercase letters only and satisfies 1 \ leq | S | \ leq 10 ^ 3.
Output
Output the minimum cost for creating a palindrome. Don't forget the newline at the end.
Sample Input 1
hcpc
Sample Output 1
1
In this case, a palindrome can be created at a cost of 1, but multiple methods are possible. For example, if you add a block of'h', you can make a'hcpch', so you can make a palindrome at a cost of 1. Also, if you delete the block of'h', you can make'cpc', so you can make a palindrome with this method at cost 1.
Sample Input 2
ritscamp
Sample Output 2
Four
Sample Input 3
nakawawakana
Sample Output 3
0
If you can create a palindrome from scratch, the cost is zero.
Example
Input
hcpc
Output
1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import collections
print(sum([v % 2 for v in collections.Counter(input()).values()]) // 2)
``` | vfc_135743 | {
"difficulty": "unknown_difficulty",
"memory_limit": "267.38688 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "gcpc",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "bgnc",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "gcoc",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "gcnc",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "cgnc",
"output": "1\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/1332/C | Solve the following coding problem using the programming language python:
Word $s$ of length $n$ is called $k$-complete if $s$ is a palindrome, i.e. $s_i=s_{n+1-i}$ for all $1 \le i \le n$; $s$ has a period of $k$, i.e. $s_i=s_{k+i}$ for all $1 \le i \le n-k$.
For example, "abaaba" is a $3$-complete word, while "abccba" is not.
Bob is given a word $s$ of length $n$ consisting of only lowercase Latin letters and an integer $k$, such that $n$ is divisible by $k$. He wants to convert $s$ to any $k$-complete word.
To do this Bob can choose some $i$ ($1 \le i \le n$) and replace the letter at position $i$ with some other lowercase Latin letter.
So now Bob wants to know the minimum number of letters he has to replace to convert $s$ to any $k$-complete word.
Note that Bob can do zero changes if the word $s$ is already $k$-complete.
You are required to answer $t$ test cases independently.
-----Input-----
The first line contains a single integer $t$ ($1 \le t\le 10^5$) β the number of test cases.
The first line of each test case contains two integers $n$ and $k$ ($1 \le k < n \le 2 \cdot 10^5$, $n$ is divisible by $k$).
The second line of each test case contains a word $s$ of length $n$.
It is guaranteed that word $s$ only contains lowercase Latin letters. And it is guaranteed that the sum of $n$ over all test cases will not exceed $2 \cdot 10^5$.
-----Output-----
For each test case, output one integer, representing the minimum number of characters he has to replace to convert $s$ to any $k$-complete word.
-----Example-----
Input
4
6 2
abaaba
6 3
abaaba
36 9
hippopotomonstrosesquippedaliophobia
21 7
wudixiaoxingxingheclp
Output
2
0
23
16
-----Note-----
In the first test case, one optimal solution is aaaaaa.
In the second test case, the given word itself is $k$-complete.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def main():
return '\n'.join((nCharactersToReplaceMin() for _ in range(int(input()))))
def nCharactersToReplaceMin():
def nDesiredCharacters(limit1, limit2):
def countOfMostRepeatedCharacter(i1, i2):
lettersCount = {}
for (j1, j2) in zip(range(i1, len(word), period), range(i2, len(word), period)):
if word[j1] not in lettersCount:
lettersCount[word[j1]] = 1
else:
lettersCount[word[j1]] += 1
if word[j2] not in lettersCount:
lettersCount[word[j2]] = 1
else:
lettersCount[word[j2]] += 1
return max(lettersCount.values())
return sum((countOfMostRepeatedCharacter(i1, i2) for (i1, i2) in zip(range(limit1), range(period - 1, limit2, -1))))
(word_sLength, period) = map(int, input().split())
word = input()
limit = period // 2
if period % 2:
middleLettersCount = {}
for i in range(limit, word_sLength, period):
if word[i] not in middleLettersCount:
middleLettersCount[word[i]] = 1
else:
middleLettersCount[word[i]] += 1
return str(word_sLength - max(middleLettersCount.values()) - nDesiredCharacters(limit, limit))
else:
return str(word_sLength - nDesiredCharacters(limit, limit - 1))
print(main())
``` | vfc_135748 | {
"difficulty": "medium",
"memory_limit": "512 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1332/C",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n6 2\nabaaba\n6 3\nabaaba\n36 9\nhippopotomonstrosesquippedaliophobia\n21 7\nwudixiaoxingxingheclp\n",
"output": "2\n0\n23\n16\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n6 2\nabaaba\n6 3\nabaaba\n36 9\nhippopotononstrosesquippedaliophobia\n21 7\nwudixiaoxingxingheclp\n",
"output": "2\n0\n23\n16\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n6 2\nabaaba\n6 3\nabaaba\n36 9\nhippopotomonstrosesquippedaliophobia\n21 3\nwudixiaoxingxingheclp\n",
"output": "2\n0\n23\n17\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n6 2\nabaaba\n6 1\nabaaba\n36 9\nhippopotomonstrosesquippedaliophobia\n21 3\nwudixiaoxingxingheclp\n",
"output": "2\n2\n23\n17\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n6 2\nabaaba\n6 3\nabaaba\n36 6\nhippopotomonstrosesquippedaliophobia\n21 7\nwudixiaoxingxingheclp\n",
"output": "2\n0\n27\n16\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/KTTABLE | Solve the following coding problem using the programming language python:
Read problems statements in Mandarin Chinese, Russian and Vietnamese as well.
There are N students living in the dormitory of Berland State University. Each of them sometimes wants to use the kitchen, so the head of the dormitory came up with a timetable for kitchen's usage in order to avoid the conflicts:
The first student starts to use the kitchen at the time 0 and should finish the cooking not later than at the time A_{1}.
The second student starts to use the kitchen at the time A_{1} and should finish the cooking not later than at the time A_{2}.
And so on.
The N-th student starts to use the kitchen at the time A_{N-1} and should finish the cooking not later than at the time A_{N}
The holidays in Berland are approaching, so today each of these N students wants to cook some pancakes. The i-th student needs B_{i} units of time to cook.
The students have understood that probably not all of them will be able to cook everything they want. How many students will be able to cook without violating the schedule?
------ Input Format ------
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows. \
Each test case contains 3 lines of input
- The first line of each test case contains a single integer N denoting the number of students.
- The second line contains N space-separated integers A1, A2, ..., AN denoting the moments of time by when the corresponding student should finish cooking.
- The third line contains N space-separated integers B1, B2, ..., BN denoting the time required for each of the students to cook.
------ Output Format ------
For each test case, output a single line containing the number of students that will be able to finish the cooking.
------ Constraints ------
1 β€ T β€ 10 \
1 β€ N β€ 104 \
0 A1 A2 AN 109 \
1 β€ Bi β€ 109
----- Sample Input 1 ------
2
3
1 10 15
1 10 3
3
10 20 30
15 5 20
----- Sample Output 1 ------
2
1
----- explanation 1 ------
Example case 1. The first student has 1 unit of time - the moment 0. It will be enough for her to cook. The second student has 9 units of time, but wants to cook for 10 units of time, and won't fit in time. The third student has 5 units of time and will fit in time, because needs to cook only for 3 units of time.
Example case 2. Each of students has 10 units of time, but only the second one will be able to fit in time.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for x in range(int(input())):
studentsCount = int(input())
successfulStudentsCount = 0
allocatedTimes = [int(y) for y in input().split(' ')]
requiredTimes = [int(z) for z in input().split(' ')]
for student in range(studentsCount):
if student == 0:
if requiredTimes[student] <= allocatedTimes[student]:
successfulStudentsCount += 1
elif requiredTimes[student] <= abs(allocatedTimes[student - 1] - allocatedTimes[student]):
successfulStudentsCount += 1
print(successfulStudentsCount)
``` | vfc_135752 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/KTTABLE",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n3\n1 10 15\n1 10 3\n3\n10 20 30\n15 5 20",
"output": "2\n1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/flying-jet4644/1 | Solve the following coding problem using the programming language python:
The jet's speed is changed after every mile covered on it's runway. It follows a specific pattern for the speed. Starting from 1 it goes like 1, 7, 16, 21, 81, 63, 256 . . . and so on. Given N find its speed after Nth mile.
Example 1:
Input : N = 3
Output: 16
Explanation: Speed of jet after 3rd mile
is 16.
Example 2:
Input: N = 5
Output: 81
Explanation: Speed of jet after 5th mile
is 81.
Your Task:
You don't need to read or print anyhting. Your task is to complete the function Nth_mileSpeed() which taked N as input parameter and returns jet's speed after Nth mile.
Expected Time Complexity: O(N)
Expected Space Complexity: O(1)
Constraints:
1 <= N <= 60
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def Nth_mileSpeed(self, n):
# Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def Nth_mileSpeed(self, n):
if n % 2 != 0:
return (n - n // 2) ** 4
else:
return 7 * 3 ** (n // 2 - 1)
``` | vfc_135756 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/flying-jet4644/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 3",
"output": "16",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 5",
"output": "81",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/ASP | Solve the following coding problem using the programming language python:
Read problems statements in Mandarin Chinese and Russian as well.
Given a sequence of n distinct numbers a[1..n], we want to sort them in an ascending order.
An interesting property of some sequences is that all numbers are almost at their correct position! More formally, the distance between the current position of any value is at most 1 from its correct position in a sorted order.
Now, you want to verify whether the input sequence has such a property.
Note that the time limit for this problem is 0.2 seconds. Please try to write a very efficient algorithm and implementation.
------ Input ------
The first line contains an integer T denoting the total number of test cases.
For each test case, the first line contains a single integer n, and the second line contains a[1..n] as a single space-separated list.
------ Output ------
For each test case, output "YES" or "NO" (without quotes) to indicate whether the input sequence has such a property.
------ Constraints ------
$1 β€ T β€ 10$
$1 β€ n β€ 10^{6}$
$1 β€ a[i] β€ 10^{9}$
----- Sample Input 1 ------
2
3
1 2 3
5
2 4 1 3 5
----- Sample Output 1 ------
YES
NO
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for _ in range(int(input())):
n = int(input())
arr = list(map(int, input().split()))
fl = True
for i in range(n - 2):
if arr[i] > arr[i + 2]:
fl = False
break
if fl:
print('YES')
else:
print('NO')
``` | vfc_135758 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/ASP",
"time_limit": "0.2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n3\n1 2 3\n5\n2 4 1 3 5",
"output": "YES\nNO",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1141/B | Solve the following coding problem using the programming language python:
Each day in Berland consists of $n$ hours. Polycarp likes time management. That's why he has a fixed schedule for each day β it is a sequence $a_1, a_2, \dots, a_n$ (each $a_i$ is either $0$ or $1$), where $a_i=0$ if Polycarp works during the $i$-th hour of the day and $a_i=1$ if Polycarp rests during the $i$-th hour of the day.
Days go one after another endlessly and Polycarp uses the same schedule for each day.
What is the maximal number of continuous hours during which Polycarp rests? It is guaranteed that there is at least one working hour in a day.
-----Input-----
The first line contains $n$ ($1 \le n \le 2\cdot10^5$) β number of hours per day.
The second line contains $n$ integer numbers $a_1, a_2, \dots, a_n$ ($0 \le a_i \le 1$), where $a_i=0$ if the $i$-th hour in a day is working and $a_i=1$ if the $i$-th hour is resting. It is guaranteed that $a_i=0$ for at least one $i$.
-----Output-----
Print the maximal number of continuous hours during which Polycarp rests. Remember that you should consider that days go one after another endlessly and Polycarp uses the same schedule for each day.
-----Examples-----
Input
5
1 0 1 0 1
Output
2
Input
6
0 1 0 1 1 0
Output
2
Input
7
1 0 1 1 1 0 1
Output
3
Input
3
0 0 0
Output
0
-----Note-----
In the first example, the maximal rest starts in last hour and goes to the first hour of the next day.
In the second example, Polycarp has maximal rest from the $4$-th to the $5$-th hour.
In the third example, Polycarp has maximal rest from the $3$-rd to the $5$-th hour.
In the fourth example, Polycarp has no rest at all.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = int(input())
a = list(map(int, input().split()))
a += a
i = 0
maxx = 0
while i < 2 * n:
cnt = 0
if a[i] == 0:
i += 1
continue
while i < 2 * n and a[i] == 1:
cnt += 1
i += 1
maxx = max(cnt, maxx)
print(maxx)
``` | vfc_135766 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1141/B",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n1 0 1 0 1\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\n0 1 0 1 1 0\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n1 0 1 1 1 0 1\n",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n0 0 0\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n0\n",
"output": "0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1746/C | Solve the following coding problem using the programming language python:
You are given a permutation $a$ of size $n$ and you should perform $n$ operations on it. In the $i$-th operation, you can choose a non-empty suffix of $a$ and increase all of its elements by $i$. How can we perform the operations to minimize the number of inversions in the final array?
Note that you can perform operations on the same suffix any number of times you want.
A permutation of size $n$ is an array of size $n$ such that each integer from $1$ to $n$ occurs exactly once in this array. A suffix is several consecutive elements of an array that include the last element of the array. An inversion in an array $a$ is a pair of indices $(i, j)$ such that $i > j$ and $a_{i} < a_{j}$.
-----Input-----
Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 10^4$). The description of the test cases follows.
The first line of each test case contains a single integer $n$ ($1 \le n \le 10^5$) β the size of the array.
The second line contains $n$ distinct integers $a_{1}, a_{2}, \dots, a_{n}$ ($1 \le a_i \le n$), the initial permutation $a$.
It's guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$.
-----Output-----
For each test case, print $n$ integers $x_{1}, x_{2}, \ldots, x_{n}$ ($1 \le x_{i} \le n$ for each $1 \le i \le n$) indicating that the $i$-th operation must be applied to the suffix starting at index $x_{i}$. If there are multiple answers, print any of them.
-----Examples-----
Input
4
4
1 2 3 4
5
1 3 2 4 5
3
2 3 1
1
1
Output
1 1 1 1
1 4 3 2 1
1 3 3
1
-----Note-----
In the first test case one of the optimal solutions is to increase the whole array on each operation (that is, choose the suffix starting at index $1$). The final array $[11, 12, 13, 14]$ contains $0$ inversions.
In the second test case, $a$ will be equal to $[2, 4, 3, 5, 6]$, $[2, 4, 3, 7, 8]$, $[2, 4, 6, 10, 11]$, $[2, 8, 10, 14, 15]$ and $[7, 13, 15, 19, 20]$ after the first, second, third, fourth, and fifth operations, respectively. So the final array $a$ has zero inversions.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
input = sys.stdin.readline
print = sys.stdout.write
for _ in range(int(input())):
n = int(input())
a = list(map(int, input().split()))
inx = [0] * (n + 1)
for i in range(n):
inx[a[i]] = i + 1
print(' '.join((str(inx[n - i]) for i in range(n))))
print('\n')
``` | vfc_135770 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1746/C",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n4\n1 2 3 4\n5\n1 3 2 4 5\n3\n2 3 1\n1\n1\n",
"output": "4 3 2 1 \n5 4 2 3 1 \n2 1 3 \n1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n8\n7 6 5 4 3 2 8 1\n",
"output": "7 1 2 3 4 5 6 8 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n10\n10 3 2 1 9 8 7 6 5 4\n",
"output": "1 5 6 7 8 9 10 2 3 4 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n10\n10 1 9 8 7 6 5 4 3 2\n",
"output": "1 3 4 5 6 7 8 9 10 2 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n8\n8 1 7 6 5 4 3 2\n",
"output": "1 3 4 5 6 7 8 2 \n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/DISTOPPSUMS | Solve the following coding problem using the programming language python:
Given an even integer N, output a *permutation* P of length N, such that:
The value of P_{i} + P_{N+1-i} is distinct for all 1 β€ i β€ \frac{N}{2}.
It is guaranteed that a possible solution always exists. If multiple such permutations exist, print any.
Note that, a permutation P of length N, consists of all integers from 1 to N exactly once. For example, [2, 1, 3, 4] is a permutation, while [2, 2, 1, 3] is not.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of a single line containing a single even integer N.
------ Output Format ------
For each test case, output N space-separated integers, denoting the permutation P of length N.
------ Constraints ------
$1 β€ T β€ 1000$
$2 β€ N β€ 2000$
$N$ is even.
----- Sample Input 1 ------
3
2
6
4
----- Sample Output 1 ------
2 1
1 3 2 4 5 6
2 1 3 4
----- explanation 1 ------
Test case $1$: Consider the permutation $P = [2, 1]$.
The value $P_{i} + P_{N+1-i} = 2 + 1 = 3$ for $i = 1$, which is distinct.
Test case $2$: Consider the permutation $P = [1, 3, 2, 4, 5, 6]$.
- For $i = 1$: The value $P_{i} + P_{N+1-i} = 1 + 6 = 7$.
- For $i = 2$: The value $P_{i} + P_{N+1-i} = 3 + 5 = 8$.
- For $i = 3$: The value $P_{i} + P_{N+1-i} = 2 + 4 = 6$.
Thus, the values are distinct for each $1 β€ i β€ \frac{N}{2}$.
Test case $3$: Consider the permutation $P = [2, 1, 3, 4]$.
- For $i = 1$: The value $P_{i} + P_{N+1-i} = 2 + 4 = 6$.
- For $i = 2$: The value $P_{i} + P_{N+1-i} = 1 + 3 = 4$.
Thus, the values are distinct for each $1 β€ i β€ \frac{N}{2}$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for _ in range(int(input())):
n = int(input())
a = []
for i in range(n // 2, 0, -1):
a.append(i)
for j in range(n // 2 + 1, n + 1):
a.append(j)
print(*a)
``` | vfc_135774 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/DISTOPPSUMS",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n2\n6\n4\n",
"output": "2 1\n1 3 2 4 5 6\n2 1 3 4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
A prime number is an integer that is greater than 1 and can only be divided by itself or 1. For example, 2 is a prime number because it is divisible only by 2 and 1, but 12 is not a prime number because it is divisible by 2, 3, 4, 6 in addition to 12 and 1.
When you enter the integer n, write a program that outputs the largest prime number less than n and the smallest prime number greater than n.
Input
Given multiple datasets. Each dataset is given n (3 β€ n β€ 50,000) on one row.
The number of datasets does not exceed 50.
Output
For each dataset, output the largest prime number less than n and the smallest prime number greater than n on one line, separated by a space.
Example
Input
19
3517
Output
17 23
3511 3527
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from math import sqrt, ceil
N = 53000
temp = [True] * (N + 1)
temp[0] = temp[1] = False
for i in range(2, ceil(sqrt(N + 1))):
if temp[i]:
temp[i + i::i] = [False] * len(temp[i + i::i])
while True:
try:
n = int(input())
print(n - 1 - temp[n - 1:0:-1].index(True), n + 1 + temp[n + 1:].index(True))
except EOFError:
break
``` | vfc_135778 | {
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "19\n5214",
"output": "17 23\n5209 5227\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "19\n3257",
"output": "17 23\n3253 3259\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "19\n6476",
"output": "17 23\n6473 6481\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/6cb0782855c0f11445b8d70e220f888e6ea8e22a/1 | Solve the following coding problem using the programming language python:
You are given the head of a linked list. You have to replace all the values of the nodes with the nearest prime number. If more than one prime number exists at an equal distance, choose the smallest one.
Example 1:
Input:
2 β 6 β 10
Output:
2 β 5 β 11
Explanation:
The nearest prime of 2 is 2 itself.
The nearest primes of 6 are 5 and 7,
since 5 is smaller so, 5 will be chosen.
The nearest prime of 10 is 11.
Example 2:
Input:
1 β 15 β 20
Output:
2 β 13 β 19
Explanation:
The nearest prime of 1 is 2.
The nearest primes of 15 are 13 and 17,
since 13 is smaller so, 13 will be chosen.
The nearest prime of 20 is 19.
Your Task:
The task is to complete the function primeList() which contains a reference to the head as the only argument. This function should return the head of the modified linked list.
Expected Time Complexity: O(number of nodes * sqrt(value of node)).
Expected Auxiliary Space: O(1).
Constraints:
1 β€ Number of Nodes β€ 10^{4}
1 β€ Value on Node β€ 10^{4}
Write your solution by modifying this code:
```python
from typing import Optional
"""
Definition for singly Link List Node
class Node:
def __init__(self,x):
self.data=x
self.next=None
You can also use the following for printing the link list.
printList(node)
"""
class Solution:
def primeList(self, head : Optional['Node']) -> Optional['Node']:
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from typing import Optional
import math
class Solution:
def primeList(self, head: Optional['Node']) -> Optional['Node']:
def newprime(n):
i = n
j = n
while not (isprime(i) or isprime(j)):
i -= 1
j += 1
if isprime(i):
return i
return j
def isprime(n):
if n <= 1:
return False
for i in range(2, int(math.sqrt(n)) + 1):
if n % i == 0:
return False
return True
temp = head
while temp:
temp.data = newprime(temp.data)
temp = temp.next
return head
``` | vfc_135783 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/6cb0782855c0f11445b8d70e220f888e6ea8e22a/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2 β 6 β 10",
"output": "2 β 5 β 11",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 β 15 β 20",
"output": "2 β 13 β 19",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Recent improvements in information and communication technology have made it possible to provide municipal service to a wider area more quickly and with less costs. Stimulated by this, and probably for saving their not sufficient funds, mayors of many cities started to discuss on mergers of their cities.
There are, of course, many obstacles to actually put the planned mergers in practice. Each city has its own culture of which citizens are proud. One of the largest sources of friction is with the name of the new city. All citizens would insist that the name of the new city should have the original name of their own city at least as a part of it. Simply concatenating all the original names would, however, make the name too long for everyday use.
You are asked by a group of mayors to write a program that finds the shortest possible name for the new city that includes all the original names of the merged cities. If two or more cities have common parts, they can be overlapped. For example, if "FUKUOKA", "OKAYAMA", and "YAMAGUCHI" cities are to be merged, "FUKUOKAYAMAGUCHI" is such a name that include all three of the original city names. Although this includes all the characters of the city name "FUKUYAMA" in this order, it does not appear as a consecutive substring, and thus "FUKUYAMA" is not considered to be included in the name.
Input
The input is a sequence of datasets. Each dataset begins with a line containing a positive integer n (n β€ 14), which denotes the number of cities to be merged. The following n lines contain the names of the cities in uppercase alphabetical letters, one in each line. You may assume that none of the original city names has more than 20 characters. Of course, no two cities have the same name.
The end of the input is indicated by a line consisting of a zero.
Output
For each dataset, output the length of the shortest possible name of the new city in one line. The output should not contain any other characters.
Examples
Input
3
Output
16
Input
3
FUKUOKA
OKAYAMA
YAMAGUCHI
3
FUKUOKA
FUKUYAMA
OKAYAMA
2
ABCDE
EDCBA
4
GA
DEFG
CDDE
ABCD
2
ABCDE
C
14
AAAAA
BBBBB
CCCCC
DDDDD
EEEEE
FFFFF
GGGGG
HHHHH
IIIII
JJJJJ
KKKKK
LLLLL
MMMMM
NNNNN
0
Output
16
19
9
9
5
70
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from collections import defaultdict, deque
from heapq import heappush, heappop
import sys
import math
import bisect
import random
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
return list(sys.stdin.readline())[:-1]
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve(n):
s = [input() for i in range(n)]
v = defaultdict(lambda : [])
f = [1] * n
for i in range(n):
for j in range(n):
if i == j:
continue
if s[i] in s[j]:
f[i] = 0
break
s = [s[i] for i in range(n) if f[i]]
n = len(s)
pre = [set([s[i][:j] for j in range(len(s[i]) + 1)]) for i in range(n)]
for i in range(n):
si = s[i]
for j in range(n):
sj = s[j]
p = pre[j]
if i == j:
continue
for k in range(len(si)):
if s[i][k:] in p:
k -= 1
break
l = len(si) - k - 1
v[i].append((j, len(sj) - l))
m = 1 << n
dp = [[float('inf')] * n for i in range(m)]
for i in range(n):
dp[1 << i][i] = len(s[i])
for b in range(m):
for i in range(n):
if not b & 1 << i:
continue
d = dp[b][i]
for (j, w) in v[i]:
k = 1 << j
if b & k:
continue
nb = b | k
nd = d + w
if nd < dp[nb][j]:
dp[nb][j] = nd
print(min(dp[m - 1]))
return
while 1:
n = I()
if n == 0:
break
solve(n)
``` | vfc_135784 | {
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "8.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\nFUKUOKA\nOKAYAMA\nYAMAGUCHI\n3\nFUKUOKA\nFUKUYAMA\nOKAYAMA\n2\nABCDE\nEDCBA\n4\nGA\nDEFG\nCDDE\nABCD\n2\nABCDE\nC\n14\nAAAAA\nBBBBB\nCCCCC\nDDDDD\nEEEED\nFFFFF\nGGGGG\nHHHHH\nIIIII\nJJJJJ\nKKKKK\nLLLLL\nMMMMM\nNNNNN\n0",
"output": "16\n19\n9\n9\n5\n69\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/anagram-1587115620/1 | Solve the following coding problem using the programming language python:
Given two strings a and b consisting of lowercase characters. The task is to check whether two given strings are an anagram of each other or not. An anagram of a string is another string that contains the same characters, only the order of characters can be different. For example, act and tac are an anagram of each other.
Note:-
If the strings are anagrams you have to return True or else return False
|s| represents the length of string s.
Example 1:
Input:a = geeksforgeeks, b = forgeeksgeeks
Output: YES
Explanation: Both the string have same characters with
same frequency. So, both are anagrams.
Example 2:
Input:a = allergy, b = allergic
Output: NO
Explanation: Characters in both the strings are
not same, so they are not anagrams.
Your Task:
You don't need to read input or print anything. Your task is to complete the function isAnagram() which takes the string a and string b as input parameter and check if the two strings are an anagram of each other. The function returns true if the strings are anagram else it returns false.
Expected Time Complexity:O(|a|+|b|).
Expected Auxiliary Space: O(Number of distinct characters).
Constraints:
1 β€ |a|,|b| β€ 10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
#Function is to check whether two strings are anagram of each other or not.
def isAnagram(self,a,b):
#code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def isAnagram(self, a, b):
return sorted(a) == sorted(b)
``` | vfc_135789 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/anagram-1587115620/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "a = geeksforgeeks, b = forgeeksgeeks",
"output": "YES",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "a = allergy, b = allergic",
"output": "NO",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/find-minimum-adjustment-cost-of-an-array4628/1 | Solve the following coding problem using the programming language python:
Given an array arr[] of positive integers of size N and an integer target, replace each element in the array such that the difference between adjacent elements in the array is less than or equal to a given target. We need to minimize the adjustment cost, that is the sum of differences between new and old values. We basically need to minimize β|A[i] A_{new}[i]| where 0 <= i <= n-1, n is size of A[] and A_{new}[] is the array with adjacent difference less than or equal to target.Assume all elements of the array is less than constant M = 100.
Example 1:
Input: N = 4, target = 1
arr[] = { 1, 3, 0, 3 }
Output: 3
Explanation: One of the possible
solutions is [2, 3, 2, 3].
Example 2:
Input: N = 4, target = 1
arr[] = {2, 3, 2, 3}
Output: 0
Explanation: All adjacent elements
in the input array are already less
than equal to given target.
Your Task:
This is a function problem. You don't need to take any input, as it is already accomplished by the driver code. You just need to complete the function minAdjustmentCost() that takes array arr[] , integer n, and integer target as parameters and returns the minimum adjustment cost.
Expected Time Complexity: O(N).
Expected Auxiliary Space: O(1).
Constraints:
1 β€ N β€ 10^{2}
Write your solution by modifying this code:
```python
class Solution:
def minAdjustmentCost(self, arr, n, target):
# Your code goes here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def minAdjustmentCost(self, A, n, target):
M = max(A)
dp = [[0 for i in range(M + 1)] for i in range(n)]
for j in range(M + 1):
dp[0][j] = abs(j - A[0])
for i in range(1, n):
for j in range(M + 1):
dp[i][j] = 100000000
for k in range(max(j - target, 0), min(M, j + target) + 1):
dp[i][j] = min(dp[i][j], dp[i - 1][k] + abs(A[i] - j))
res = 10000000
for j in range(M + 1):
res = min(res, dp[n - 1][j])
return res
``` | vfc_135790 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/find-minimum-adjustment-cost-of-an-array4628/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 4, target = 1\r\narr[] = { 1, 3, 0, 3 }",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 4, target = 1\r\narr[] = {2, 3, 2, 3}",
"output": "0",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/count-number-of-equal-pairs-in-a-string0520/1 | Solve the following coding problem using the programming language python:
Given a string, find the number of pairs of characters that are same. Pairs (s[i], s[j]), (s[j], s[i]), (s[i], s[i]), (s[j], s[j]) should be considered different.
Example 1:
Input:
S = "air"
Output: 3
Explanation: 3 pairs that are equal:
(S[0], S[0]), (S[1], S[1]) and (S[2], S[2])
ΓΒ’Γ’Β¬ÒΒΒΉExample 2:
Input:
S = "aa"
Output: 4
Explanation: 4 pairs that are equal:
(S[0], S[0]), (S[0], S[1]), (S[1], S[0])
and (S[1], S[1])
Your Task:
You don't need to read input or print anything. Your task is to complete the function equalPairs() which takes the string S as input and returns the number of equal pairs as described in the problem description.
Expected Time Complexity: O(|S|).
Expected Auxiliary Space: O(1).
Constraints:
1<=|S|<=10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def equalPairs (self,s):
# your code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def equalPairs(self, s):
result = 0
d = {}
for i in s:
d[i] = d.get(i, 0) + 1
for i in d.values():
result += i * i
return result
``` | vfc_135796 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/count-number-of-equal-pairs-in-a-string0520/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "S = \"air\"",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "S = \"aa\"",
"output": "4",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/numbers-with-one-absolute-difference2416/1 | Solve the following coding problem using the programming language python:
Given a number N. The task is to return all the numbers less than or equal to N in increasing order, with the fact that absolute difference between any adjacent digits of number should be 1.
Example 1:
Input: N = 20
Output: 10 12
Explanation: Diff between 1 and 0 and
Diff between 1 and 2 is one.
Example 2:
Input:
N = 9
Output: -1
Explanation: No such number exist.
Your Task:
You don't need to read input or print anything. Your task is to complete the function absDifOne() which takes an integer as input and returns a list of numbers.
Expected Time Complexity : O(2^{Number of Digits in N})
Expected Auxiliary Space : O(2^{Number of Digits in N})
Constraints:
1 <= N <= 10^{12}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def absDifOne(self, N):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def absDifOne(self, X):
l = []
for i in range(1, 10):
def numbers(k):
if k > X:
return
if k > 9:
l.append(k)
d = k % 10
if d != 0:
numbers(k * 10 + d - 1)
if d != 9:
numbers(k * 10 + d + 1)
numbers(i)
l.sort()
return l
``` | vfc_135798 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/numbers-with-one-absolute-difference2416/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 20",
"output": "10 12",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 9",
"output": "-1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/CHEALG | Solve the following coding problem using the programming language python:
Read problem statements in [Hindi],[Bengali], [Mandarin Chinese], [Russian], and [Vietnamese] as well.
One day, Saeed was teaching a string compression algorithm. This algorithm finds all maximal substrings which contains only one character repeated one or more times (a substring is maximal if it we cannot add one character to its left or right without breaking this property) and replaces each such substring by the string "cK", where $K$ is the length of the substring and $c$ is the only character it contains. For example, "aabaaa" is compressed to "a2b1a3".
Saeed wanted to check if the students understood the algorithm, so he wrote a string $S$ on the board and asked the students if the algorithm is effective on $S$, i.e. if the string created by compressing $S$ is strictly shorter than $S$. Help them answer this question.
------ Input ------
The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
The first and only line of each test case contains a single string $S$.
------ Output ------
For each test case, print a single line containing the string "YES" if the algorithm is effective on $S$ or "NO" if it is not.
------ Constraints ------
$1 β€ T β€ 100$
$1 β€ |S| β€ 10^{3}$
$S$ may consist of only lowercase English letters.
------ Subtasks ------
Subtask #1 (100 points): original constraints
----- Sample Input 1 ------
3
bbbbbbbbbbaa
c
aaaaaaaaaabcdefgh
----- Sample Output 1 ------
YES
NO
NO
----- explanation 1 ------
Example case 1:
- The compressed string of "bbbbbbbbbbaa" is "b10a2", which is shorter.
- The compressed string of "c" is "c1", which is not shorter than "c".
- The compressed string of "aaaaaaaaaabcdefgh" is "a10b1c1d1e1f1g1h1", which is not shorter than "aaaaaaaaaabcdefgh" (both strings have length $17$).
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
t = int(input())
for i in range(t):
s = input()
final = ''
prev = s[0]
c = 1
for i in range(1, len(s)):
if s[i] == prev:
c += 1
else:
final += prev + str(c)
prev = s[i]
c = 1
final += prev + str(c)
if len(final) < len(s):
print('YES')
else:
print('NO')
``` | vfc_135799 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CHEALG",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\nbbbbbbbbbbaa\nc\naaaaaaaaaabcdefgh",
"output": "YES\nNO\nNO",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/CTHREE | Solve the following coding problem using the programming language python:
Read problems statements in Mandarin chinese, Russian and Vietnamese as well.
Today, Chef was trying to solve a problem he found pretty hard: Given an integer N and a triple of integers (a, b, c), compute the number of triples of positive integers (x, y, z) such that N = x Β· y Β· z, x β€ a, y β€ b and z β€ c.
Can you help Chef solve this problem?
Two triples (x_{1}, y_{1}, z_{1}) and (x_{2}, y_{2}, z_{2}) differ if x_{1} is not equal to x_{2} or y_{1} is not equal to y_{2} or z_{1} is not equal to z_{2}.
------ Input ------
The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows.
The first and only line of each test case contains four space-separated integers N, a, b and c.
------ Output ------
For each test case, print a single line containing one integer β the number of valid triples (x, y, z).
------ Constraints ------
$1 β€ T β€ 20$
$1 β€ N β€ 10^{9}$
$1 β€ a, b, c β€ 10^{6}$
----- Sample Input 1 ------
3
100 8 23 11
497296800 1000000 1000000 1000000
1 1 2 3
----- Sample Output 1 ------
10
97800
1
----- explanation 1 ------
Example case 1: There are 10 valid triples (x, y, z): (1, 10, 10), (1, 20, 5), (2, 5, 10), (2, 10, 5), (4, 5, 5), (5, 2, 10), (5, 4, 5), (5, 5, 4), (5, 10, 2), (5, 20, 1).
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def divisor(num):
a = ()
div = list(a)
i = 1
while i * i < num:
if num % i == 0:
div.append(i)
div.append(num // i)
i += 1
if i * i == num:
div.append(i)
return div
test = int(input())
while test:
(n, a, b, c) = map(int, input().split())
d = divisor(n)
ct = 0
for i in d:
if i <= a:
for j in d:
if j <= b:
if n % (i * j) == 0 and n // (i * j) <= c:
ct += 1
print(ct)
test -= 1
``` | vfc_135809 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CTHREE",
"time_limit": "0.5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n100 8 23 11\n497296800 1000000 1000000 1000000\n1 1 2 3",
"output": "10\n97800\n1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.hackerrank.com/challenges/morgan-and-a-string/problem | Solve the following coding problem using the programming language python:
Jack and Daniel are friends. Both of them like letters, especially uppercase ones.
They are cutting uppercase letters from newspapers, and each one of them has his collection of letters stored in a stack.
One beautiful day, Morgan visited Jack and Daniel. He saw their collections. He wondered what is the lexicographically minimal string made of those two collections. He can take a letter from a collection only when it is on the top of the stack. Morgan wants to use all of the letters in their collections.
As an example, assume Jack has collected $a=[A,C,A]$ and Daniel has $b=[B,C,F]$. The example shows the top at index $\mbox{0}$ for each stack of letters. Assemble the string as follows:
Jack Daniel result
ACA BCF
CA BCF A
CA CF AB
A CF ABC
A CF ABCA
F ABCAC
ABCACF
Note the choice when there was a tie at CA and CF.
Function Description
Complete the morganAndString function in the editor below.
morganAndString has the following parameter(s):
string a: Jack's letters, top at index $\mbox{0}$
string b: Daniel's letters, top at index $\mbox{0}$
Returns
- string: the completed string
Input Format
The first line contains the an integer $\boldsymbol{\boldsymbol{t}}$, the number of test cases.
The next $\boldsymbol{\boldsymbol{t}}$ pairs of lines are as follows:
- The first line contains string $\boldsymbol{a}$
- The second line contains string $\boldsymbol{b}$.
Constraints
$1\leq T\leq5$
$1\leq|a|,|b|\leq10^5$
$\boldsymbol{\alpha}$ and $\boldsymbol{b}$ contain upper-case letters only, ascii[A-Z].
Sample Input
2
JACK
DANIEL
ABACABA
ABACABA
Sample Output
DAJACKNIEL
AABABACABACABA
Explanation
The first letters to choose from are J and D since they are at the top of the stack. D is chosen and the options now are J and A. A is chosen. Then the two stacks have J and N, so J is chosen. The current string is DA. Continue this way to the end to get the string.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import io
def pick_smaller_char(s1, s2, idx1, idx2, len1, len2, i1, i2):
if len1 <= idx1[0]:
idx2[0] += 1
return s2[idx2[0] - 1]
if len2 <= idx2[0]:
idx1[0] += 1
return s1[idx1[0] - 1]
if s1[idx1[0]] > s2[idx2[0]]:
idx2[0] += 1
return s2[idx2[0] - 1]
elif s1[idx1[0]] < s2[idx2[0]]:
idx1[0] += 1
return s1[idx1[0] - 1]
else:
if i1[0] < idx1[0] or i2[0] < idx2[0]:
i1[0] = idx1[0]
i2[0] = idx2[0]
else:
pass
while i1[0] < len1 and i2[0] < len2 and (s1[i1[0]] == s2[i2[0]]):
i1[0] += 1
i2[0] += 1
if (i1[0] < len1 and i2[0] < len2) and s1[i1[0]] != s2[i2[0]]:
if s1[i1[0]] > s2[i2[0]]:
idx2[0] += 1
return s2[idx2[0] - 1]
elif s1[i1[0]] < s2[i2[0]]:
idx1[0] += 1
return s1[idx1[0] - 1]
elif i1[0] < len1 and i2[0] >= len2:
idx1[0] += 1
return s1[idx1[0] - 1]
elif i1[0] >= len1 and i2[0] < len2:
idx2[0] += 1
return s2[idx2[0] - 1]
else:
i1[0] = 0
i2[0] = 0
if len1 - idx1[0] > len2 - idx2[0]:
idx1[0] += 1
return s1[idx1[0] - 1]
else:
idx2[0] += 1
return s2[idx2[0] - 1]
def main():
trials = int(input())
for trial in range(trials):
word1 = input()
word2 = input()
word = io.StringIO()
len1 = len(word1)
len2 = len(word2)
idx1 = [0]
idx2 = [0]
i1 = [0]
i2 = [0]
timeout = 0
while len1 - idx1[0] > 0 or len2 - idx2[0] > 0:
word.write(pick_smaller_char(word1, word2, idx1, idx2, len1, len2, i1, i2))
print(word.getvalue())
word.close()
main()
``` | vfc_135814 | {
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/morgan-and-a-string/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\nJACK\nDANIEL\nABACABA\nABACABA\n",
"output": "DAJACKNIEL\nAABABACABACABA\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/COSQ2020/problems/PRGOTHAM | Solve the following coding problem using the programming language python:
Gotham City is again under attack. This time Joker has given an open challenge to solve the following problem in order to save Gotham. Help Batman in protecting Gotham by solving the problem.
You are given two strings A and B composed of lowercase letters of Latin alphabet. B can be obtained by removing some characters from A(including 0). You are given an array containing any random permutation of numbers $1$ to $N$, where $N$ is the length of the string A. You have to remove the letters of A in the given order of indices. Note that after removing one letter, the indices of other letters do not change. Return the maximum number of indices you can remove in the given order such that B is still obtainable from A.
-----Input:-----
- First two lines contains the strings A and B respectively.
- The third line contains a random permutation of numbers from $1$ to $N$ representing some order of indices of string A.
-----Output:-----
Print a single number denoting the maximum number of indices you can remove in the given order such that B is still obtainable from A.
-----Constraints-----
- $1 \leq |B| \leq |A| \leq 200000$
-----Sample Input #1:-----
xxyxxy
xyy
1 5 4 6 3 2
-----Sample Output #1:-----
3
-----Sample Input #2:-----
jphokenixr
joker
2 9 3 7 8 1 6 5 4 10
-----Sample Output #2:-----
5
-----EXPLANATION:-----
For the first example removing characters in order,
xxyxxy => _xyxxy => _xyx_y => _xy__y.
If we remove any other element now then we can not obtain 'xxy'. So the ans is 3.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
try:
(a, b, da) = (list(input()), input(), list(map(int, input().split())))
print(len(a) - len(b))
except:
pass
``` | vfc_135818 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/COSQ2020/problems/PRGOTHAM",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "#1:\nxxyxxy\nxyy\n1 5 4 6 3 2\n",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "jphokenixr\njoker\n2 9 3 7 8 1 6 5 4 10\n",
"output": "5\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
One day alice and bob were playing with their old toys , they had moved all the rakes and drawers to in the pursuit of their childhood toys.
Finally they found bunch of cubes ,with letters and digits written on it ,which they recalled they used to make words from.
They have already come up with a word they would like to make.
Could you help him by saying if the word can be built from the cubes in the drawer?
Input
On the first line of input there is a string S, consisting of lowercase
English letters, and an integer N (4β€|S|β€100, 1β€Nβ€100) β the word Bob and Alice wants
to build and the number of cubes. On the every of the following N lines
there are 6 characters. Every of those characters is either a lowercase
English letter or a digit.
It is guaranteed that the string S consists only of lowercase English letters.
Output
Output one word, either "YES", if the word can be built using given cubes, or "NO" otherwise.
SAMPLE TEST CASE
INPUT
egos 4
d 1 w e 7 9
o 2 h a v e
g 3 c o o k
s 3 i e s 5
OUTPUT
YES
SAMPLE INPUT
egos 4
d 1 w e 7 9
o 2 h a v e
g 3 c o o k
s 3 i e s 5
SAMPLE OUTPUT
YES
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
a,b=list(map(str,input().split()))
fnd=[]
f=0
for i in range(int(b)):
l=list(map(str,input().split()))
for i in range(len(a)):
if i not in fnd:
if a[i] in l:
fnd.append(i)
break
if len(fnd)==len(a):
f=1
break
if(f):
print('YES')
else:
print('NO')
``` | vfc_135822 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "nana 12\nb a 7 8 9 1\nn 1 7 7 7 6\na 9 6 3 7 8\nk 8 2 4 7 9\na 7 8 9 1 3\ns 7 1 1 2 7\nd a 7 8 9 1\nn 1 7 7 7 6\na 9 6 3 7 8\nn 8 2 4 7 9\na 7 8 9 1 3\ns 7 1 1 2 7",
"output": "YES",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://www.hackerrank.com/challenges/unfriendly-numbers/problem | Solve the following coding problem using the programming language python:
Given $\mbox{1}$ friendly number and $n$ unfriendly numbers, determine how many numbers are divisors of the friendly number but not the unfriendly numbers.
Input Format
The first line contains $2$ space-separated integers, $n$ (the number of unfriendly numbers) and $\mbox{f}$ (the friendly number), respectively.
The second line contains $n$ space-separated unfriendly numbers.
Constraints
$1\leq n\leq10^{6}$
$1\leq f\leq10^{13}$
$1\leq\textit{unfriendly numbers}\leq10^{18}$
Output Format
Print the the number of unique divisors of $\mbox{f}$ (i.e.: divisors that are not shared with those of the unfriendly numbers) as a single integer.
Sample Input
8 16
2 5 7 4 3 8 3 18
Sample Output
1
Explanation
There are $n=8$ unfriendly numbers: $2,5,7,4,3,8,3,18$.
Our friendly number, $\mbox{f}$, is $\mbox{16}$, and its even divisors are $1,2,4,8,16$.
Let $\textit{count}$ be the number of friendly divisors that are not also unfriendly divisors. Let's determine which divisors of $\mbox{f}$ are not also divisors of the unfriendly numbers:
$\mbox{1}$ is a divisor of all unfriendly numbers, so we disregard it.
$2$ is a divisor of unfriendly numbers $2$, $\begin{array}{c}4\end{array}$, and $8$, so we disregard it.
$\begin{array}{c}4\end{array}$ is a divisor of unfriendly numbers $\begin{array}{c}4\end{array}$ and $8$, so we disregard it.
$8$ is a divisor of unfriendly number $8$, so we disregard it.
$\mbox{16}$ is not a divisor of any unfriendly number, so we increment $\textit{count}$ to $\mbox{1}$.
As there are no more friendly divisors to check, we print the value of $\textit{count}$ (which is $\mbox{1}$) on a new line.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from fractions import gcd
(nU, F) = [int(i) for i in input().strip().split()]
Us = [int(i) for i in input().strip().split()]
divs = []
for i in range(1, int(F ** 0.5)):
if F % i == 0:
divs.append(i)
divs.append(F // i)
if int(F ** 0.5) == F ** 0.5:
divs.append(int(F ** 0.5))
ndivs = {}
for i in Us:
ndivs[gcd(F, i)] = 1
ndivs = [i for i in ndivs]
rt = 0
for i in divs:
for j in ndivs:
if j % i == 0:
break
else:
rt += 1
print(rt)
``` | vfc_135826 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/unfriendly-numbers/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "8 16\n2 5 7 4 3 8 3 18\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1579/D | Solve the following coding problem using the programming language python:
An important meeting is to be held and there are exactly $n$ people invited. At any moment, any two people can step back and talk in private. The same two people can talk several (as many as they want) times per meeting.
Each person has limited sociability. The sociability of the $i$-th person is a non-negative integer $a_i$. This means that after exactly $a_i$ talks this person leaves the meeting (and does not talk to anyone else anymore). If $a_i = 0$, the $i$-th person leaves the meeting immediately after it starts.
A meeting is considered most productive if the maximum possible number of talks took place during it.
You are given an array of sociability $a$, determine which people should talk to each other so that the total number of talks is as large as possible.
-----Input-----
The first line contains an integer $t$ ($1 \le t \le 1000$) β the number of test cases.
The next $2t$ lines contain descriptions of the test cases.
The first line of each test case description contains an integer $n$ ($2 \le n \le 2 \cdot 10^5$) βthe number of people in the meeting. The second line consists of $n$ space-separated integers $a_1, a_2, \dots, a_n$ ($0 \le a_i \le 2 \cdot 10^5$) β the sociability parameters of all people.
It is guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$. It is also guaranteed that the sum of all $a_i$ (over all test cases and all $i$) does not exceed $2 \cdot 10^5$.
-----Output-----
Print $t$ answers to all test cases.
On the first line of each answer print the number $k$ β the maximum number of talks possible in a meeting.
On each of the next $k$ lines print two integers $i$ and $j$ ($1 \le i, j \le n$ and $i \neq j$) β the numbers of people who will have another talk.
If there are several possible answers, you may print any of them.
-----Examples-----
Input
8
2
2 3
3
1 2 3
4
1 2 3 4
3
0 0 2
2
6 2
3
0 0 2
5
8 2 0 1 1
5
0 1 0 0 6
Output
2
1 2
1 2
3
1 3
2 3
2 3
5
1 3
2 4
2 4
3 4
3 4
0
2
1 2
1 2
0
4
1 2
1 5
1 4
1 2
1
5 2
-----Note-----
None
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import math
import os
import sys
from io import BytesIO, IOBase
from types import GeneratorType
from collections import defaultdict
BUFSIZE = 8192
from bisect import bisect_left
from bisect import bisect_right
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = 'x' in file.mode or 'r' not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b'\n') + (not b)
ptr = self.buffer.tell()
(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
(self.buffer.truncate(0), self.buffer.seek(0))
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode('ascii'))
self.read = lambda : self.buffer.read().decode('ascii')
self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')
import heapq
from collections import deque
import heapq
t = int(input())
for i in range(t):
n = int(input())
b = list(map(int, input().split()))
l = []
for i in range(n):
l.append([-b[i], i + 1])
ans = []
heapq.heapify(l)
le = n
while le > 1:
curr1 = heapq.heappop(l)
curr2 = heapq.heappop(l)
if curr2[0] == 0 or curr1[0] == 0:
break
else:
heapq.heappush(l, [-(-curr1[0] - 1), curr1[1]])
heapq.heappush(l, [-(-curr2[0] - 1), curr2[1]])
ans.append([curr1[1], curr2[1]])
print(len(ans))
for j in ans:
print(*j)
``` | vfc_135836 | {
"difficulty": "medium",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1579/D",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "8\n2\n2 3\n3\n1 2 3\n4\n1 2 3 4\n3\n0 0 2\n2\n6 2\n3\n0 0 2\n5\n8 2 0 1 1\n5\n0 1 0 0 6\n",
"output": "2\n2 1\n2 1\n3\n3 2\n3 2\n3 1\n5\n4 3\n4 3\n4 2\n4 3\n2 1\n0\n2\n1 2\n1 2\n0\n4\n1 2\n1 5\n1 4\n1 2\n1\n5 2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/460/B | Solve the following coding problem using the programming language python:
Little Dima misbehaved during a math lesson a lot and the nasty teacher Mr. Pickles gave him the following problem as a punishment.
Find all integer solutions x (0 < x < 10^9) of the equation:x = bΒ·s(x)^{a} + c,
where a, b, c are some predetermined constant values and function s(x) determines the sum of all digits in the decimal representation of number x.
The teacher gives this problem to Dima for each lesson. He changes only the parameters of the equation: a, b, c. Dima got sick of getting bad marks and he asks you to help him solve this challenging problem.
-----Input-----
The first line contains three space-separated integers: a, b, c (1 β€ a β€ 5;Β 1 β€ b β€ 10000;Β - 10000 β€ c β€ 10000).
-----Output-----
Print integer n β the number of the solutions that you've found. Next print n integers in the increasing order β the solutions of the given equation. Print only integer solutions that are larger than zero and strictly less than 10^9.
-----Examples-----
Input
3 2 8
Output
3
10 2008 13726
Input
1 2 -18
Output
0
Input
2 2 -1
Output
4
1 31 337 967
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def s(x):
res = 0
while x > 0:
res += x % 10
x //= 10
return res
(a, b, c) = map(int, input().split())
ans = []
for i in range(100):
x = b * i ** a + c
if x < 0:
continue
if s(x) == i and 0 < x < 10 ** 9:
ans.append(x)
ans.sort()
print(len(ans))
if len(ans) != 0:
print(*ans)
``` | vfc_135841 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/460/B",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 2 8\n",
"output": "3\n10 2008 13726 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 2 -18\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 2 -1\n",
"output": "4\n1 31 337 967 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1 0\n",
"output": "9\n1 2 3 4 5 6 7 8 9 ",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 37 963\n",
"output": "16\n1000 1111 1222 1333 1370 1407 1444 1481 1518 1555 1592 1629 1666 1777 1888 1999 ",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
I and my flatmate ,Sayan, went to see the magnificient fountains in the Jubilee park on 3rd March.It was the eve of the 184rd Bithday of the late Mr. J.N.Tata and the fountains were set to blow at regular intervals.
I sat down praising the scenic beauty of the fountains.But Sayan, who is a bit wierd, came up with a challenge.
He asked me, "Given that all fountains start off at the same time ,can you tell me when will all the fountains fire simultaneously again".
Now, I being a bit dumbo, am asking for your help.You will be given the intervals at which each of the fountain fires.And all you need to do is tell me precisely at what time the fountains will fire simultaneously again.
For example, say there are 4 fountains with firing intervals of 2, 3, 1, and 1 respectively, then if they fire all together at t=0, they will fire together again at t=6.
INPUT
First line contains the T , the number of test cases. T test cases follow.
Each of the test case contains 2 lines of input.
The first line contains a single number n , denoting the number of fountains.
The next line contains n space separated numbers denoting the interval time of the n fountains.
OUTPUT
Output T lines each containing only one number - the answer to the question (modulo 1000000007).
CONSTRAINTS
1 β€ T β€ 10
1 β€ n β€ 1000
1 β€ Time intervals β€ 10000
SAMPLE INPUT
1
4
2 4 6 8
SAMPLE OUTPUT
24
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def gcd(a,b):
if(a<b):
return gcd(b,a)
if(a%b == 0):
return b
else:
return gcd(b,a%b)
def lcm(a,b):
return a*b/(gcd(a,b))
test = eval(input())
for i in range(test):
n = eval(input())
arr = list(map(int,input().split()))
lcm_result= arr[0]
for i in range(1,n):
lcm_result = lcm(lcm_result,arr[i])
print(lcm_result % 1000000007)
``` | vfc_135845 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n547\n8525 5819 4013 8968 8274 5988 4769 987 5282 5171 5482 6883 4247 395 1531 378 1414 9511 3866 9344 5324 1619 1707 2038 890 5044 6484 5713 5475 3714 1301 5463 8029 4275 4620 6553 1698 7368 3270 5430 4521 3284 9707 5053 4188 5938 2245 1728 3200 9142 3926 9148 4290 6270 7367 9915 6237 6180 155 6569 1085 3099 8656 6933 9204 2530 5863 7937 4840 7391 3411 2776 9872 1207 6516 2081 9800 7289 4681 9607 5803 6610 9987 9944 8525 6799 5581 2326 9304 2566 5085 727 49 4919 7221 7199 3937 2402 1001 7327 5518 3219 5984 519 5935 6695 7313 4677 3850 4303 4143 3508 7460 360 6704 9211 8244 8333 9090 1897 3949 4902 5168 4894 7573 2535 7692 7406 9762 1934 9800 4478 6058 2826 6950 2975 2955 5378 604 8435 715 4291 7466 2221 6538 3881 1900 8747 3245 8633 9631 9629 882 7648 4543 669 1496 5402 4691 8311 7599 9697 1048 599 8234 8444 2151 7301 9396 1904 3022 5520 6523 2452 9758 3049 1217 2583 9705 6204 4174 6285 9252 9904 7760 5695 1507 6953 5627 6897 7628 9939 3214 6558 2317 8751 8318 5962 9919 2852 3598 8032 2007 1673 2597 1176 2130 6721 182 4299 5303 4359 3988 9325 6627 669 1672 1308 8136 7956 571 2022 4881 7499 935 1578 7640 7710 3618 1303 8704 9053 8485 6927 3986 763 3957 471 7799 7804 9215 2157 2000 2958 5487 9654 2461 4508 325 2660 1187 5392 3791 6322 7212 9475 391 9155 255 2006 6433 7361 8908 4417 6452 7345 5282 6315 4356 1601 4294 305 2832 2908 9612 8666 4600 7411 2244 5198 5049 8598 4821 7198 8320 5660 1231 2722 9651 7434 6287 9228 2435 9303 5490 7416 3702 6791 9081 5505 8678 9077 6523 5851 9779 9968 7544 1212 6486 5079 8658 4208 362 3598 5558 5907 4791 4448 8613 9602 9921 3781 441 8464 7979 989 6892 6853 8486 2298 3907 5536 8205 7900 7816 2573 9571 5545 3508 3517 8217 6900 6270 8759 1882 316 860 2391 9329 6176 8033 4960 5311 1862 2184 2535 4882 7393 3109 8294 9670 698 101 3892 654 1787 9062 3873 5477 9850 8870 2010 8287 9337 5723 4795 285 6570 2679 6224 4853 4577 3207 4855 2744 3020 8422 5601 2588 8505 5557 3045 5516 5125 6467 5037 3757 5388 3362 3966 9545 7890 1783 7541 5096 4638 2122 162 6971 4664 5088 4718 3756 1175 4676 7108 3502 4185 4832 7030 6681 1104 9659 9310 8985 8015 6651 3009 7992 1891 9313 3773 7262 3042 7021 5131 7885 1643 7379 7372 7376 8312 2388 3132 9121 844 5964 6035 8776 892 7167 2067 1526 416 6617 8726 6760 5627 5367 1061 161 6967 3027 4556 9206 6855 204 71 4452 4674 9317 7410 2297 7609 6344 922 5789 2178 273 6614 123 3032 5798 887 2426 6902 2904 2298 3672 4584 5372 9739 1555 2937 1241 1496 4799 4432 9192 5368 3957 5437 4052 5815 4150 8649 1262 7402 2237 1302 5778 2431 881 3567 8440 4883 1061 5830 2425 4525 36 8313 432 7961 8167 2947 8351 9325 9326 6601 3274 4391 1015 9717 4125 6716 9122 5717 7181 5224 2264 5500 7013 9675 7270 6377 1863\n152\n6158 1029 5192 1755 2560 5501 7455 5304 9682 5830 8082 1277 8266 763 6948 8166 7107 8578 6742 6458 117 5817 3310 1437 5680 3273 1014 6036 2514 3030 3020 4319 5651 2525 3773 1605 9045 9356 4406 6573 4168 3868 9544 7742 2199 7170 5756 3795 4282 194 3483 94 2781 9457 793 4030 5870 769 5874 2346 466 2035 4608 623 9009 4469 9236 4857 5870 8334 559 7445 5912 2895 3680 561 5859 8033 5587 2429 8161 9076 5217 2330 7762 9731 2903 4102 8386 7663 2627 2385 8901 4929 2682 5869 2433 4791 4227 8159 5164 7661 8131 9654 6552 5880 8736 6433 1202 2765 76 605 455 9003 3463 2587 3851 6586 3745 9484 7358 7528 2483 7293 5656 2193 7213 9826 807 2309 8561 9735 8605 5047 2005 3184 6951 5797 3691 3215 2931 4345 2215 4780 2858 8846 2086 632 7283 6321 8693 8844",
"output": "701680327\n51594526\n180548026\n439415478\n699717684\n566011038",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n902\n1916 4171 6696 9445 8711 5524 2509 1172 6710 4018 3342 9545 6849 7289 6961 7688 487 3677 1390 7672 5082 9360 5271 4581 6740 5698 6989 4591 8213 7287 1817 4566 9150 389 3080 8119 327 9593 3314 6667 6987 1206 4000 5786 7139 5692 8902 2860 744 7949 4648 2287 5447 7018 1604 4307 7585 6637 9973 7639 4843 2214 5748 3124 8046 6541 8936 6379 7144 5620 2626 5872 2979 3434 9881 1425 268 3018 2385 8028 2357 7925 4027 1162 2337 2084 7810 6386 1712 8748 2165 6493 6518 5218 9556 9322 4994 4516 6692 6001 5654 7516 3912 5260 2582 7651 2606 7553 9698 7690 9538 4285 4270 5456 94 899 17 8630 2659 2336 6532 5843 5726 1315 8039 6912 1233 6197 5812 159 2980 4896 8129 8500 3850 749 5834 3149 5503 2338 1618 6861 5038 2732 7221 3514 1175 6936 8830 2912 9887 2437 872 3349 5003 7434 7114 3535 208 961 8387 974 729 4661 8937 6381 314 6529 7512 2299 5858 1553 3187 4140 8063 7600 8421 6100 9699 9860 8535 7217 5647 7756 4396 1624 493 3893 1044 2795 9092 8236 1576 197 5082 2943 4992 9260 8580 3457 9025 6584 5089 6781 4686 5487 1586 4394 7473 7796 122 4632 2284 6144 6011 4737 3151 4951 821 7279 7205 9938 3920 7653 860 3072 842 6176 3131 4906 6744 4466 3273 3363 8600 1124 4003 1023 8846 8144 4 47 2533 1045 2371 591 9278 1183 9038 3357 1915 5519 1317 6594 6422 3489 8627 6122 5179 7687 6305 1748 5128 9117 5266 8248 9972 1116 203 7300 2728 3115 5333 1499 2123 7975 1369 1751 3239 69 3427 2422 5299 4421 6534 1017 7180 6161 3229 7879 8764 7196 9305 3650 4146 298 8255 5018 1258 3386 3044 4584 6916 2820 2695 876 6718 7091 6358 2359 2881 398 7639 8250 7153 1995 4208 1415 4592 341 6830 533 5374 523 9872 4021 7446 3092 4718 5968 9955 3963 1272 2446 1242 3201 796 2538 5851 1468 4789 2556 313 4673 4510 9779 6918 2625 2630 6448 6989 4669 5561 1955 6607 41 1538 7943 1052 1530 6103 2094 4486 750 1628 6832 1966 1323 2072 2451 1616 8771 6699 3285 9821 3746 5891 9943 8797 99 2609 2661 9488 5754 1784 7627 8299 2630 7661 1106 3197 496 4 5597 7357 37 8216 5281 5933 2473 8993 9039 5316 951 5541 186 8324 6954 6956 3952 719 5466 970 354 6626 9724 7621 7560 1248 1536 8189 5858 9726 1948 4038 3343 1520 633 5316 3510 8226 8952 379 6761 8673 4280 9775 5337 7934 2009 5827 5819 9567 1636 6916 4624 1966 7210 285 6071 1101 7603 6121 1798 4478 4041 8069 8801 6600 3763 6788 345 8286 5442 3535 2518 5121 8832 8310 5104 7796 292 4273 9293 2891 2003 7171 8670 2771 6865 2335 5479 6033 4322 4766 487 5783 1297 7833 7400 1498 2837 5517 3062 9760 7182 7089 5430 3594 9452 936 7878 8594 4469 1422 2192 910 9620 9161 1306 8162 4936 132 9948 4517 1399 9517 9441 4679 2841 3768 812 7402 9152 7783 7616 1501 4513 8054 5541 6918 6686 2531 2341 954 8405 2720 766 4937 2964 6913 2536 1084 9238 2368 9886 949 2593 6864 2334 9877 9201 7134 2129 998 4716 5672 4860 7616 489 6073 5722 3913 6299 5369 7102 2717 1380 2817 3651 1313 7972 5447 8340 2478 1596 8844 868 4068 4054 4687 746 5925 4446 3737 5179 4759 8712 6255 1218 3158 7122 8685 8051 4240 2269 2819 8486 3780 6517 58 3314 5782 8719 755 5906 2981 6463 4868 9956 7777 8035 3454 6317 726 4101 9648 9605 7735 4167 2793 5400 2447 4169 1376 9992 714 1177 6969 7654 2494 742 9373 7263 6238 2744 6416 9704 6231 8750 9014 2698 2098 3221 7380 3771 6824 4265 1636 8838 46 4668 4732 3009 6146 2985 1394 6420 3451 3255 884 9095 4965 7797 1082 4219 212 5111 3742 7316 3292 4529 3299 3859 5049 8656 3027 4583 1583 6732 7347 8567 8913 1978 8562 9507 195 2957 3997 7480 7076 9255 1593 6372 8349 8551 2333 7976 1610 2108 3157 7766 5870 1126 4610 3999 5012 1841 5373 682 808 8272 3810 262 8615 7579 7200 7625 6553 5329 8357 5828 3862 8079 8936 52 1734 5668 8944 6389 9431 5593 2028 4832 7389 5245 3091 9697 9965 5155 3265 5967 6027 568 3268 7914 2525 9073 7237 976 1658 3606 3989 2425 1346 3407 4635 1248 4138 2495 165 4841 8600 9523 7599 3866 5536 8405 3534 3244 475 1424 6025 3002 12 5022 1354 1747 9356 1615 1218 6116 240 8387 1372 2593 1811 6687 7280 1634 3438 8188 6308 4588 2009 9199 8843 4758 5211 7502 2646 6591 2903 2184 2440 7423 9571 9669 8636 7550 8025 4604 953 6996 9275 8690 3044 9835 6115 5209 2504 530 1810 4336 1687 8071 9341 8912 7704 544 4405 7342 6781 5607 1989 1382 5646 9623 846 9579 9396 4092 2075 6541 7510 7579 4880 9786 70 5675 1964 1903 5980 9603 896 8907 5357 1596 7429 3730 6966 1571 3885 7040 7204 7194 9974 9611 5810 9901 3944 9902 9456 8504 7369 3435 3156 223 4069 7295 6775 2347 8858 475 2831 2285 2683 4488 5926 2867 1795 7049 3525 806 7208 6686 6771 2423 1605 5419 7747 6468",
"output": "116938955\n69439481\n455379380\n345036005\n534945969\n836612826\n118010953\n733299534\n266417677\n400378139",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://www.hackerrank.com/challenges/primsmstsub/problem | Solve the following coding problem using the programming language python:
Given a graph which consists of several edges connecting its nodes, find a subgraph of the given graph with the following properties:
The subgraph contains all the nodes present in the original graph.
The subgraph is of minimum overall weight (sum of all edges) among all such subgraphs.
It is also required that there is exactly one, exclusive path between any two nodes of the subgraph.
One specific node $\mbox{S}$ is fixed as the starting point of finding the subgraph using Prim's Algorithm.
Find the total weight or the sum of all edges in the subgraph.
Example
$n=3$
$edges=[[1,2,2],[2,3,2],[1,3,3]]$
$start=1$
Starting from node $\mbox{I}$, select the lower weight edge, i.e. $1\leftrightarrow2$, weight $2$.
Choose between the remaining edges, $1\leftrightarrow3$, weight $3$, and $2\leftrightarrow3$, weight $2$.
The lower weight edge is $2\leftrightarrow3$ weight $2$.
All nodes are connected at a cost of $2+2=4$. The edge $1\leftrightarrow3$ is not included in the subgraph.
Function Description
Complete the prims function in the editor below.
prims has the following parameter(s):
int n: the number of nodes in the graph
int edges[m][3]: each element contains three integers, two nodes numbers that are connected and the weight of that edge
int start: the number of the starting node
Returns
int: the minimum weight to connect all nodes in the graph
Input Format
The first line has two space-separated integers $n$ and $m$, the number of nodes and edges in the graph.
Each of the next $m$ lines contains three space-separated integers $\mbox{u}$, $\boldsymbol{\nu}$ and $\boldsymbol{w}$, the end nodes of $\textit{edges}[i]$, and the edge's weight.
The last line has an integer $\textit{start}$, the starting node.
Constraints
$2\leq n\leq3000$
$1\leq m\leq(n*(n-1))/2$
$1\le u,v,start\le n$
$0\leq w\leq10^5$
There may be multiple edges between two nodes.
Sample Input 0
5 6
1 2 3
1 3 4
4 2 6
5 2 2
2 3 5
3 5 7
1
Sample Output 0
15
Explanation 0
The graph given in the test case is shown as :
The starting node is $\mbox{I}$ (in the given test case)
Applying the Prim's algorithm, edge choices available at first are :
$1\rightarrow2$ (WT. 3) and $1\rightarrow3$ (WT. 4) , out of which $1\rightarrow2$ is chosen (smaller weight of edge).
Now the available choices are :
$1\rightarrow3$ (WT. 4) , $2\rightarrow3$ (WT. 5) , $2\rightarrow5$ (WT. 2) and $2\rightarrow4$ (WT. 6) , out of which $2\rightarrow5$ is chosen by the algorithm.
Following the same method of the algorithm, the next chosen edges , sequentially are :
$1\rightarrow3$ and $2\rightarrow4$.
Hence the overall sequence of edges picked up by Prim's are:
$1\to2:2\to5:1\to3:2\to4$
and the total weight of the MST (minimum spanning tree) is : $3+2+4+6=15$
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from collections import defaultdict
import heapq
def prim(S, N, G):
E = defaultdict(int)
D = {}
T = [0 for _ in range(N + 1)]
H = [(0, S)]
for n in range(1, N + 1):
D[n] = float('inf')
D[S] = 0
while H:
t = heapq.heappop(H)
for h in G[t[1]]:
if E[h[1]] == 0 and D[h[1]] > h[0]:
D[h[1]] = h[0]
if h in H:
H.remove(h)
heapq.heapify(H)
heapq.heappush(H, (D[h[1]], h[1]))
T[h[1]] = D[h[1]]
E[t[1]] += 1
return T
def main():
(N, M) = [int(i) for i in input().split()]
G = defaultdict(set)
for _ in range(M):
e = [int(i) for i in input().split()]
G[e[0]].add((e[2], e[1]))
G[e[1]].add((e[2], e[0]))
S = int(input())
print(sum(prim(S, N, G)))
main()
``` | vfc_135854 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/primsmstsub/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 6\n1 2 3\n1 3 4\n4 2 6\n5 2 2\n2 3 5\n3 5 7\n1\n",
"output": "15\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Alice is a geeky girl. She has a lot of codes to execute but she always choose a lucky time to execute a code.
Time is shown in 24 hour format as hh:mm:ss
Time is said to be lucky if all the 6 characters (except ':') are different.
Given the time when she completed the code find a lucky time to execute it so that Alice need to wait as little as possible.
Input :
First line contains T, the number of test cases. Each of next T lines contains time when she completes a code (in format described above).
Output:
For each test case, output a single line containing lucky time (in format described above)
Constraints :
0 β€ hh < 24
0 β€ mm < 60
0 β€ ss < 60
SAMPLE INPUT
3
00:00:00
12:59:59
23:59:59
SAMPLE OUTPUT
01:23:45
13:02:45
01:23:45
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
#lucky time 2
def time_split(l2):
d1={}
hh=int(l2[0])
mm=int(l2[1])
ss=int(l2[2])
s=set([1,2,3,4,5,6,7,8,9,0])
d1['h1']=hh/10
d1['h2']=hh%10
d1['m1']=mm/10
d1['m2']=mm%10
d1['s1']=ss/10
d1['s2']=ss%10
return d1
def clocktick(dict1):
ss = dict1['s1']*10 + dict1['s2']
mm = dict1['m1']*10 + dict1['m2']
hh = dict1['h1']*10 + dict1['h2']
if ss < 59:
ss+=1
else:
ss=0
if mm < 59:
mm+=1
else:
mm=0
if hh < 23:
hh+=1
else:
hh=0
dict1=time_split([hh,mm,ss])
return dict1
num_runs = int(input())
timings_list=[]
for i in range(1,num_runs+1):
timings_list.append(input())
for j in range(0,len(timings_list)):
d1={}
time_set=set()
time=timings_list[j]
l1=time.split(':')
d1=time_split(l1)
while True:
time_set.update(list(d1.values()))
if len(time_set) == 6:
break
else:
d1=clocktick(d1)
time_set.clear()
time_set.update(list(d1.values()))
print("%d%d%s%d%d%s%d%d" % (d1['h1'],d1['h2'],':',d1['m1'],d1['m2'],':',d1['s1'],d1['s2']))
``` | vfc_135858 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
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|
taco | verifiable_code | https://codeforces.com/problemset/problem/1691/C | Solve the following coding problem using the programming language python:
You are given a binary string $s$ of length $n$.
Let's define $d_i$ as the number whose decimal representation is $s_i s_{i+1}$ (possibly, with a leading zero). We define $f(s)$ to be the sum of all the valid $d_i$. In other words, $f(s) = \sum\limits_{i=1}^{n-1} d_i$.
For example, for the string $s = 1011$:
$d_1 = 10$ (ten);
$d_2 = 01$ (one)
$d_3 = 11$ (eleven);
$f(s) = 10 + 01 + 11 = 22$.
In one operation you can swap any two adjacent elements of the string. Find the minimum value of $f(s)$ that can be achieved if at most $k$ operations are allowed.
-----Input-----
Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 10^5$). Description of the test cases follows.
First line of each test case contains two integers $n$ and $k$ ($2 \le n \le 10^5$, $0 \le k \le 10^9$) β the length of the string and the maximum number of operations allowed.
The second line of each test case contains the binary string $s$ of length $n$, consisting of only zeros and ones.
It is also given that sum of $n$ over all the test cases doesn't exceed $10^5$.
-----Output-----
For each test case, print the minimum value of $f(s)$ you can obtain with at most $k$ operations.
-----Examples-----
Input
3
4 0
1010
7 1
0010100
5 2
00110
Output
21
22
12
-----Note-----
For the first example, you can't do any operation so the optimal string is $s$ itself. $f(s) = f(1010) = 10 + 01 + 10 = 21$.
For the second example, one of the optimal strings you can obtain is "0011000". The string has an $f$ value of $22$.
For the third example, one of the optimal strings you can obtain is "00011". The string has an $f$ value of $12$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from sys import stdin
def input():
return stdin.readline().strip()
def read_int():
return int(input())
def read_ints():
return map(int, input().split())
t = read_int()
for case_num in range(t):
(n, k) = read_ints()
s = input()
m = s.count('1')
if m == 0:
print(0)
elif m == n:
print(11 * (n - 1))
else:
ans = 11 * m
l = s.find('1')
r = s.rfind('1')
lneed = l
rneed = n - 1 - r
if k >= lneed + rneed and m > 1:
ans = 11 * (m - 1)
elif k >= rneed:
ans = 11 * m - 10
elif k >= lneed:
ans = 11 * m - 1
print(ans)
``` | vfc_135868 | {
"difficulty": "medium",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1691/C",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n4 0\n1010\n7 1\n0010100\n5 2\n00110\n",
"output": "21\n22\n12\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n2 1000000000\n01\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/top-k-frequent-elements-in-array/1 | Solve the following coding problem using the programming language python:
Given a non-empty array of integers, find the top k elements which have the highest frequency in the array. If two numbers have the same frequency then the larger number should be given preference.
Note: Print the elements according to the frequency count (from highest to lowest) and if the frequency is equal then larger number will be given preference.
Example 1:
Input:
N = 6
nums = {1,1,1,2,2,3}
k = 2
Output: {1, 2}
Example 2:
Input:
N = 8
nums = {1,1,2,2,3,3,3,4}
k = 2
Output: {3, 2}
Explanation: Elements 1 and 2 have the
same frequency ie. 2. Therefore, in this
case, the answer includes the element 2
as 2 > 1.
User Task:
The task is to complete the function topK() that takes the array and integer k as input and returns a list of top k frequent elements.
Expected Time Complexity : O(NlogN)
Expected Auxilliary Space : O(N)
Constraints:
1 <= N <= 10^{5}
1<=A[i]<=10^{5}
Write your solution by modifying this code:
```python
class Solution:
def topK(self, nums, k):
#Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def topK(self, nums, k):
d = {}
(max, min) = (1, 1)
for i in nums:
if i in d:
d[i] += 1
else:
d[i] = 1
return sorted(d, key=lambda i: (d[i], i), reverse=True)[:k]
``` | vfc_135872 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/top-k-frequent-elements-in-array/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 6\r\nnums = {1,1,1,2,2,3}\r\nk = 2",
"output": "{1, 2}",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 8\r\nnums = {1,1,2,2,3,3,3,4}\r\nk = 2",
"output": "{3, 2}",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Walter and Jesse's friend Mike had helped them in making Crymeth and hence, they wanted to give him a share.
For deciding the share, they both decided to choose one number each, X and Y and found out that K^th Highest Common Factor of their two numbers is a good amount of Crymeth that can be given to Mike .
Walter and Jesse did this activity for D days in total. For each day, find out what quantity of Crymeth they decided to give to Mike.
Input:
First line contains a natural number D - the total number of days.
D lines follow. Each line contains three natural numbers - X, Y and K.
Output:
For each day, print the quantity given to Mike on a new line.
If the K^th HCF of X and Y does not exist, simply print "No crymeth today" (Without the quotes)
Constraints:
1 β€ D β€ 10^3
1 β€ X, Y, K β€ 10^10
SAMPLE INPUT
3
8 16 2
8 16 4
8 16 5
SAMPLE OUTPUT
4
1
No crymeth today
Explanation
1st Highest Common Factor of 8 and 16 = 8
2nd Highest Common Factor of 8 and 16 = 4
3rd Highest Common Factor of 8 and 16 = 2
4th Highest Common Factor of 8 and 16 = 1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from fractions import gcd
import math
def kFactorEven(a, maxA, curK, gcd, lowerList):
if a >= maxA:
if a == maxA and gcd % a == 0: lowerList.append(a)
if curK > len(lowerList): return -1
else: return lowerList[len(lowerList) - curK]
if gcd % a == 0:
if curK - 1 == 0: return gcd / a
else:
lowerList.append(a)
return kFactorEven(a+1, maxA, curK-1, gcd, lowerList)
else: return kFactorEven(a+1, maxA, curK, gcd, lowerList)
def kFactorOdd(a, maxA, curK, gcd, lowerList):
if a >= maxA:
if a == maxA and gcd % a == 0: lowerList.append(a)
if curK > len(lowerList): return -1
else: return lowerList[len(lowerList) - curK]
if gcd % a == 0:
if curK - 1 == 0: return gcd / a
else:
lowerList.append(a)
return kFactorOdd(a+2, maxA, curK-1, gcd, lowerList)
else: return kFactorOdd(a+2, maxA, curK, gcd, lowerList)
T = eval(input())
for _ in range(T):
X, Y, K = list(map(int, input().strip().split()))
gcdXY = gcd(X, Y)
if gcdXY == 1:
if K == 1: print("1")
else: print("No crymeth today")
continue
if K == 1:
print(gcdXY)
continue
srGCD = math.sqrt(gcdXY)
kthFactor = -1
if gcdXY % 2 == 1:
kthFactor = kFactorOdd(3, srGCD, K - 1, gcdXY, [1])
else: kthFactor = kFactorEven(2, srGCD, K - 1, gcdXY, [1])
if kthFactor > 0: print(kthFactor)
else: print("No crymeth today")
``` | vfc_135873 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\n66 132 2\n66 264 2\n66 528 2\n66 1056 2\n66 2112 2\n66 4224 2\n",
"output": "No crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "330\n1572864 1572864 5\n1572864 1572864 4\n1572864 1572864 3\n1572864 1572864 2\n1572864 1572864 1\n786432 524288 5\n786432 524288 4\n786432 524288 3\n786432 524288 2\n786432 524288 1\n393216 174762 5\n393216 174762 4\n393216 174762 3\n393216 174762 2\n393216 174762 1\n196608 58254 5\n196608 58254 4\n196608 58254 3\n196608 58254 2\n196608 58254 1\n98304 19418 5\n98304 19418 4\n98304 19418 3\n98304 19418 2\n98304 19418 1\n49152 6472 5\n49152 6472 4\n49152 6472 3\n49152 6472 2\n49152 6472 1\n24576 2157 5\n24576 2157 4\n24576 2157 3\n24576 2157 2\n24576 2157 1\n12288 719 5\n12288 719 4\n12288 719 3\n12288 719 2\n12288 719 1\n6144 239 5\n6144 239 4\n6144 239 3\n6144 239 2\n6144 239 1\n3072 79 5\n3072 79 4\n3072 79 3\n3072 79 2\n3072 79 1\n1536 26 5\n1536 26 4\n1536 26 3\n1536 26 2\n1536 26 1\n768 8 5\n768 8 4\n768 8 3\n768 8 2\n768 8 1\n1703936 1703936 5\n1703936 1703936 4\n1703936 1703936 3\n1703936 1703936 2\n1703936 1703936 1\n851968 567978 5\n851968 567978 4\n851968 567978 3\n851968 567978 2\n851968 567978 1\n425984 189326 5\n425984 189326 4\n425984 189326 3\n425984 189326 2\n425984 189326 1\n212992 63108 5\n212992 63108 4\n212992 63108 3\n212992 63108 2\n212992 63108 1\n106496 21036 5\n106496 21036 4\n106496 21036 3\n106496 21036 2\n106496 21036 1\n53248 7012 5\n53248 7012 4\n53248 7012 3\n53248 7012 2\n53248 7012 1\n26624 2337 5\n26624 2337 4\n26624 2337 3\n26624 2337 2\n26624 2337 1\n13312 779 5\n13312 779 4\n13312 779 3\n13312 779 2\n13312 779 1\n6656 259 5\n6656 259 4\n6656 259 3\n6656 259 2\n6656 259 1\n3328 86 5\n3328 86 4\n3328 86 3\n3328 86 2\n3328 86 1\n1664 28 5\n1664 28 4\n1664 28 3\n1664 28 2\n1664 28 1\n832 9 5\n832 9 4\n832 9 3\n832 9 2\n832 9 1\n416 3 5\n416 3 4\n416 3 3\n416 3 2\n416 3 1\n2007666 2007666 5\n2007666 2007666 4\n2007666 2007666 3\n2007666 2007666 2\n2007666 2007666 1\n669222 501916 5\n669222 501916 4\n669222 501916 3\n669222 501916 2\n669222 501916 1\n223074 125479 5\n223074 125479 4\n223074 125479 3\n223074 125479 2\n223074 125479 1\n74358 31369 5\n74358 31369 4\n74358 31369 3\n74358 31369 2\n74358 31369 1\n24786 7842 5\n24786 7842 4\n24786 7842 3\n24786 7842 2\n24786 7842 1\n8262 1960 5\n8262 1960 4\n8262 1960 3\n8262 1960 2\n8262 1960 1\n2754 490 5\n2754 490 4\n2754 490 3\n2754 490 2\n2754 490 1\n918 122 5\n918 122 4\n918 122 3\n918 122 2\n918 122 1\n306 30 5\n306 30 4\n306 30 3\n306 30 2\n306 30 1\n102 7 5\n102 7 4\n102 7 3\n102 7 2\n102 7 1\n2775303 2775303 5\n2775303 2775303 4\n2775303 2775303 3\n2775303 2775303 2\n2775303 2775303 1\n308367 277530 5\n308367 277530 4\n308367 277530 3\n308367 277530 2\n308367 277530 1\n34263 27753 5\n34263 27753 4\n34263 27753 3\n34263 27753 2\n34263 27753 1\n3807 2775 5\n3807 2775 4\n3807 2775 3\n3807 2775 2\n3807 2775 1\n423 277 5\n423 277 4\n423 277 3\n423 277 2\n423 277 1\n47 27 5\n47 27 4\n47 27 3\n47 27 2\n47 27 1\n11024772 11024772 5\n11024772 11024772 4\n11024772 11024772 3\n11024772 11024772 2\n11024772 11024772 1\n648516 612487 5\n648516 612487 4\n648516 612487 3\n648516 612487 2\n648516 612487 1\n38148 34027 5\n38148 34027 4\n38148 34027 3\n38148 34027 2\n38148 34027 1\n2244 1890 5\n2244 1890 4\n2244 1890 3\n2244 1890 2\n2244 1890 1\n132 105 5\n132 105 4\n132 105 3\n132 105 2\n132 105 1\n7274496 7274496 5\n7274496 7274496 4\n7274496 7274496 3\n7274496 7274496 2\n7274496 7274496 1\n909312 808277 5\n909312 808277 4\n909312 808277 3\n909312 808277 2\n909312 808277 1\n113664 89808 5\n113664 89808 4\n113664 89808 3\n113664 89808 2\n113664 89808 1\n14208 9978 5\n14208 9978 4\n14208 9978 3\n14208 9978 2\n14208 9978 1\n1776 1108 5\n1776 1108 4\n1776 1108 3\n1776 1108 2\n1776 1108 1\n222 123 5\n222 123 4\n222 123 3\n222 123 2\n222 123 1\n27 13 5\n27 13 4\n27 13 3\n27 13 2\n27 13 1\n2736128 2736128 5\n2736128 2736128 4\n2736128 2736128 3\n2736128 2736128 2\n2736128 2736128 1\n684032 547225 5\n684032 547225 4\n684032 547225 3\n684032 547225 2\n684032 547225 1\n171008 109445 5\n171008 109445 4\n171008 109445 3\n171008 109445 2\n171008 109445 1\n42752 21889 5\n42752 21889 4\n42752 21889 3\n42752 21889 2\n42752 21889 1\n10688 4377 5\n10688 4377 4\n10688 4377 3\n10688 4377 2\n10688 4377 1\n2672 875 5\n2672 875 4\n2672 875 3\n2672 875 2\n2672 875 1\n668 175 5\n668 175 4\n668 175 3\n668 175 2\n668 175 1\n167 35 5\n167 35 4\n167 35 3\n167 35 2\n167 35 1\n41 7 5\n41 7 4\n41 7 3\n41 7 2\n41 7 1\n4084101 4084101 5\n4084101 4084101 4\n4084101 4084101 3\n4084101 4084101 2\n4084101 4084101 1\n194481 185640 5\n194481 185640 4\n194481 185640 3\n194481 185640 2\n194481 185640 1\n9261 8438 5\n9261 8438 4\n9261 8438 3\n9261 8438 2\n9261 8438 1\n441 383 5\n441 383 4\n441 383 3\n441 383 2\n441 383 1\n",
"output": "47\n1\n47\n1\n1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n96 24 3\n14 7 1\n51 26 1\n34 34 4\n56 54 2\n58 48 5\n56 13 2\n74 88 5\n23 45 3\n95 68 3\n",
"output": "33\n33\n33\n33\n33\n33\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "67\n4940030060 7086834579 34198\n8187447079 9988475465 9349\n8734737666 9153889065 86204\n4141009078 1212498503 28494\n2327146744 3172627968 48158\n11526864 6665707290 27\n3853992904 9969031095 44904\n1329490312 7504066244 32678\n1371204197 8098445491 17650\n9107882010 8691785701 34400\n5709713010 6935313913 16704\n5369909804 9580957019 70017\n1480489691 1500083692 14423\n6337292764 3056898053 18100\n3794738147 359562446 5765\n5305286028 7041597684 39522\n8926352908 829640552 28043\n4042866091 8000585162 4026\n2081489997 529273656 11448\n9798255593 2680437233 15729\n3966620195 3458760947 45224\n1706796421 1316888304 30658\n3308730866 8262345376 44473\n9275832231 2668261708 536\n7513953241 4036882417 40155\n3370770240 5114396538 50976\n9463591925 7901174630 5745\n8894477209 6969228952 27606\n2999186381 7015164250 6832\n718242087 7436877252 17776\n7911018547 2969880783 19762\n3226669218 9814975809 8199\n1924887929 1115164089 29531\n4846407570 1265714799 3644\n5311570763 7289159217 22035\n9630870437 9917998771 55899\n533267159 1280431818 5454\n8677228412 6501045647 4814\n2055693820 5908759989 40541\n2620081828 369689680 14768\n4983581451 2322566604 46255\n5037089440 4150084982 52712\n1288268158 4167803313 13136\n7509817791 1658674170 16710\n759528806 3553378639 13776\n635643187 2998656933 11446\n9068304937 1936539160 17569\n3818011353 7700026618 59207\n5945821075 9971210333 37274\n724269455 4244054523 22119\n7308836737 9437271919 1379\n17538118 4076974254 1783\n3564862079 8656850400 30050\n128999008 1059519712 1752\n4716763521 2870906097 43945\n1833736778 6645489044 29040\n730778626 9976206582 20988\n6564731421 297422369 12234\n8674905929 7254229529 18274\n7292414035 8182400715 79279\n6054211365 5269828476 9256\n2255892151 9652625833 30837\n6079238586 3925830415 54167\n4302787911 7831443479 539\n505705780 5937087395 1733\n6892643452 6807907903 2080\n1384132559 699497796 1197\n",
"output": "65536\n131072\n262144\n524288\n1048576\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\n1\n2\n4\nNo crymeth today\nNo crymeth today\n1\n2\n4\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n2\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n262144\n393216\n524288\n786432\n1572864\n16384\n32768\n65536\n131072\n262144\nNo crymeth today\n1\n2\n3\n6\nNo crymeth today\n1\n2\n3\n6\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n2\nNo crymeth today\n1\n2\n4\n8\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n3\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n2\nNo crymeth today\n1\n2\n4\n8\n19683\n59049\n177147\n531441\n1594323\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n3\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n3\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n3\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n3\n354294\n531441\n708588\n1062882\n2125764\nNo crymeth today\nNo crymeth today\n1\n2\n4\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\n1\n2\n4\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n3\n3757\n4913\n63869\n83521\n1085773\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n13\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n262144\n524288\n1048576\n2097152\n4194304\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n1181928\n1772892\n2363856\n3545784\n7091568\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\n1\n2\n3\n6\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n5\n194481\n453789\n583443\n1361367\n4084101\nNo crymeth today\n1\n3\n7\n21\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\nNo crymeth today\nNo crymeth today\nNo crymeth today\nNo crymeth today\n1\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/70/B | Solve the following coding problem using the programming language python:
Fangy the little walrus, as all the modern walruses, loves to communicate via text messaging. One day he faced the following problem: When he sends large texts, they are split into parts each containing n characters (which is the size of one text message). Thus, whole sentences and words get split!
Fangy did not like it, so he faced the task of breaking the text into minimal messages on his own so that no sentence were broken into pieces when it is sent and the number of text messages to be sent would be minimal. If two consecutive sentences are in different messages, the space between them can be ignored (Fangy does not write this space).
The little walrus's text looks in the following manner:
TEXT ::= SENTENCE | SENTENCE SPACE TEXT
SENTENCE ::= WORD SPACE SENTENCE | WORD END
END ::= {'.', '?', '!'}
WORD ::= LETTER | LETTER WORD
LETTER ::= {'a'..'z', 'A'..'Z'}
SPACE ::= ' '
SPACE stands for the symbol of a space.
So, how many messages did Fangy send?
Input
The first line contains an integer n, which is the size of one message (2 β€ n β€ 255). The second line contains the text. The length of the text does not exceed 104 characters. It is guaranteed that the text satisfies the above described format. Specifically, this implies that the text is not empty.
Output
On the first and only line print the number of text messages Fangy will need. If it is impossible to split the text, print "Impossible" without the quotes.
Examples
Input
25
Hello. I am a little walrus.
Output
2
Input
2
How are you?
Output
Impossible
Input
19
Hello! Do you like fish? Why?
Output
3
Note
Let's take a look at the third sample. The text will be split into three messages: "Hello!", "Do you like fish?" and "Why?".
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import re
n = int(input())
(ans, sumL) = (1, 0)
for s in re.split('[.?!]', input()):
s = s.strip() + '.'
L = len(s)
if L > 1:
if L > n:
print('Impossible')
exit()
if sumL + L + (sumL > 0) > n:
ans += 1
sumL = L
else:
sumL = sumL + L + (sumL > 0)
print(ans)
``` | vfc_135878 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/70/B",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "16\nAbacaba. Abacaba. abacaba. abacab.\n",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "123\nOjg CVJm qfE RnHislFds nNKKt TCPLWukqNGAsVBplYbTfq? VeYKjfFGTzXWA ydpVZLIImNub yApKnAHv iXQmqv GjQvxrnAgtfTApiQyCKtg. GdmapGwvI udRqxTbnzgnOUNZx slAuEuLGCJycZJvtCczQ vommS xuuT eIK! DOJeFEaubbz HYLGlIIlNKfyaJQKVN eFNnUvKKCQLXvGhwX gjmRscMkedELUlHq? aTbyMGB EofzX wcAEjyRQpxghWvXhdJb cwIz FEUsEFicYZ.\n",
"output": "3\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/583/B | Solve the following coding problem using the programming language python:
Robot Doc is located in the hall, with n computers stand in a line, numbered from left to right from 1 to n. Each computer contains exactly one piece of information, each of which Doc wants to get eventually. The computers are equipped with a security system, so to crack the i-th of them, the robot needs to collect at least a_{i} any pieces of information from the other computers. Doc can hack the computer only if he is right next to it.
The robot is assembled using modern technologies and can move along the line of computers in either of the two possible directions, but the change of direction requires a large amount of resources from Doc. Tell the minimum number of changes of direction, which the robot will have to make to collect all n parts of information if initially it is next to computer with number 1.
It is guaranteed that there exists at least one sequence of the robot's actions, which leads to the collection of all information. Initially Doc doesn't have any pieces of information.
-----Input-----
The first line contains number n (1 β€ n β€ 1000). The second line contains n non-negative integers a_1, a_2, ..., a_{n} (0 β€ a_{i} < n), separated by a space. It is guaranteed that there exists a way for robot to collect all pieces of the information.
-----Output-----
Print a single number β the minimum number of changes in direction that the robot will have to make in order to collect all n parts of information.
-----Examples-----
Input
3
0 2 0
Output
1
Input
5
4 2 3 0 1
Output
3
Input
7
0 3 1 0 5 2 6
Output
2
-----Note-----
In the first sample you can assemble all the pieces of information in the optimal manner by assembling first the piece of information in the first computer, then in the third one, then change direction and move to the second one, and then, having 2 pieces of information, collect the last piece.
In the second sample to collect all the pieces of information in the optimal manner, Doc can go to the fourth computer and get the piece of information, then go to the fifth computer with one piece and get another one, then go to the second computer in the same manner, then to the third one and finally, to the first one. Changes of direction will take place before moving from the fifth to the second computer, then from the second to the third computer, then from the third to the first computer.
In the third sample the optimal order of collecting parts from computers can look like that: 1->3->4->6->2->5->7.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
input = sys.stdin.readline
n = int(input())
a = list(map(int, input().split()))
Power = 0
res = -1
E = [0] * n
while Power != n:
res += 1
for i in range(n):
if E[i] == 0 and Power >= a[i]:
Power += 1
E[i] = 1
if Power != n:
res += 1
for i in range(n - 1, -1, -1):
if E[i] == 0 and Power >= a[i]:
Power += 1
E[i] = 1
print(res)
``` | vfc_135882 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/583/B",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n0 2 0\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/steps-by-knight5927/1 | Solve the following coding problem using the programming language python:
Given a square chessboard, the initial position of Knight and position of a target. Find out the minimum steps a Knight will take to reach the target position.
Note:
The initial and the target position coordinates of Knight have been given according to 1-base indexing.
Example 1:
Input:
N=6
knightPos[ ] = {4, 5}
targetPos[ ] = {1, 1}
Output:
3
Explanation:
Knight takes 3 step to reach from
(4, 5) to (1, 1):
(4, 5) -> (5, 3) -> (3, 2) -> (1, 1).
Your Task:
You don't need to read input or print anything. Your task is to complete the function minStepToReachTarget() which takes the initial position of Knight (KnightPos), the target position of Knight (TargetPos), and the size of the chessboard (N) as input parameters and returns the minimum number of steps required by the knight to reach from its current position to the given target position or return -1 if its not possible.
Expected Time Complexity: O(N^{2}).
Expected Auxiliary Space: O(N^{2}).
Constraints:
1 <= N <= 1000
1 <= Knight_pos(X, Y), Targer_pos(X, Y) <= N
Write your solution by modifying this code:
```python
class Solution:
#Function to find out minimum steps Knight needs to reach target position.
def minStepToReachTarget(self, KnightPos, TargetPos, N):
#Code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def minStepToReachTarget(self, KnightPos, TargetPos, N):
vis = [[-1] * (N + 1) for i in range(N + 1)]
if KnightPos == TargetPos:
return 0
q = [(KnightPos[0], KnightPos[1], 0)]
vis[KnightPos[0]][KnightPos[1]] = 0
d = [[2, 1], [2, -1], [-2, 1], [-2, -1], [1, 2], [1, -2], [-1, -2], [-1, 2]]
while q:
(x, y, step) = q.pop(0)
for (i, j) in d:
r = x + i
c = y + j
if [r, c] == TargetPos:
return step + 1
if 0 <= r <= N and 0 <= c <= N and (vis[r][c] == -1):
q.append([r, c, step + 1])
vis[r][c] = step + 1
return -1
``` | vfc_135886 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/steps-by-knight5927/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N=6\nknightPos[ ] = {4, 5}\ntargetPos[ ] = {1, 1}",
"output": "3",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/252/D | Solve the following coding problem using the programming language python:
Little Petya likes permutations a lot. Recently his mom has presented him permutation q1, q2, ..., qn of length n.
A permutation a of length n is a sequence of integers a1, a2, ..., an (1 β€ ai β€ n), all integers there are distinct.
There is only one thing Petya likes more than permutations: playing with little Masha. As it turns out, Masha also has a permutation of length n. Petya decided to get the same permutation, whatever the cost may be. For that, he devised a game with the following rules:
* Before the beginning of the game Petya writes permutation 1, 2, ..., n on the blackboard. After that Petya makes exactly k moves, which are described below.
* During a move Petya tosses a coin. If the coin shows heads, he performs point 1, if the coin shows tails, he performs point 2.
1. Let's assume that the board contains permutation p1, p2, ..., pn at the given moment. Then Petya removes the written permutation p from the board and writes another one instead: pq1, pq2, ..., pqn. In other words, Petya applies permutation q (which he has got from his mother) to permutation p.
2. All actions are similar to point 1, except that Petya writes permutation t on the board, such that: tqi = pi for all i from 1 to n. In other words, Petya applies a permutation that is inverse to q to permutation p.
We know that after the k-th move the board contained Masha's permutation s1, s2, ..., sn. Besides, we know that throughout the game process Masha's permutation never occurred on the board before the k-th move. Note that the game has exactly k moves, that is, throughout the game the coin was tossed exactly k times.
Your task is to determine whether the described situation is possible or else state that Petya was mistaken somewhere. See samples and notes to them for a better understanding.
Input
The first line contains two integers n and k (1 β€ n, k β€ 100). The second line contains n space-separated integers q1, q2, ..., qn (1 β€ qi β€ n) β the permutation that Petya's got as a present. The third line contains Masha's permutation s, in the similar format.
It is guaranteed that the given sequences q and s are correct permutations.
Output
If the situation that is described in the statement is possible, print "YES" (without the quotes), otherwise print "NO" (without the quotes).
Examples
Input
4 1
2 3 4 1
1 2 3 4
Output
NO
Input
4 1
4 3 1 2
3 4 2 1
Output
YES
Input
4 3
4 3 1 2
3 4 2 1
Output
YES
Input
4 2
4 3 1 2
2 1 4 3
Output
YES
Input
4 1
4 3 1 2
2 1 4 3
Output
NO
Note
In the first sample Masha's permutation coincides with the permutation that was written on the board before the beginning of the game. Consequently, that violates the condition that Masha's permutation never occurred on the board before k moves were performed.
In the second sample the described situation is possible, in case if after we toss a coin, we get tails.
In the third sample the possible coin tossing sequence is: heads-tails-tails.
In the fourth sample the possible coin tossing sequence is: heads-heads.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def Solve(x, L):
if x == k[0]:
return L == S
if (x, tuple(L)) in Mem:
return False
if L == S:
return False
E = []
for i in range(len(L)):
E.append(L[Q[i] - 1])
if Solve(x + 1, E):
return True
E = [0] * len(L)
for i in range(len(L)):
E[Q[i] - 1] = L[i]
if Solve(x + 1, E):
return True
Mem[x, tuple(L)] = 1
return False
Mem = {}
k = [0]
(n, k[0]) = map(int, input().split())
P = list(range(1, n + 1))
Q = list(map(int, input().split()))
S = list(map(int, input().split()))
if Solve(0, P):
print('YES')
else:
print('NO')
``` | vfc_135888 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/252/D",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10 10\n2 3 1 5 6 7 8 4 10 9\n2 3 1 4 5 6 7 8 10 9\n",
"output": "NO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 3\n2 1 4 3\n4 3 1 2\n",
"output": "NO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 100\n2 3 1\n2 3 1\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "55 28\n35 33 46 8 11 13 14 26 42 38 1 7 34 5 2 21 17 45 54 43 4 18 27 50 25 10 29 48 6 16 22 28 55 53 49 41 39 23 40 47 51 37 36 19 9 32 52 12 24 3 20 15 30 44 31\n5 52 24 16 7 27 48 21 18 8 14 28 29 12 47 53 17 31 54 41 30 55 10 35 25 4 38 46 23 34 33 3 15 6 11 20 9 26 42 37 43 45 51 19 22 50 39 32 1 49 36 40 13 44 2\n",
"output": "YES\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/TVDISC | Solve the following coding problem using the programming language python:
Chef is looking to buy a TV and has shortlisted two models. The first one costs A rupees, while the second one costs B rupees.
Since there is a huge sale coming up on Chefzon, Chef can get a flat discount of C rupees on the first TV, and a flat discount of D rupees on the second one.
Help Chef determine which of the two TVs would be cheaper to buy during the sale.
------ Input Format ------
- The first line contains a single integer T β the number of test cases. Then the test cases follow.
- The first and only line of each test case contains four space-separated integers A, B, C and D β the marked price (in rupees) of the first TV, the marked price (in rupees) of the second TV, the flat discount (in rupees) of the first TV, and the flat discount (in rupees) of the second TV.
------ Output Format ------
For each test case, print a single line containing the string First if the first TV is cheaper to buy with discount, or Second if the second TV is cheaper to buy with discount. If both of them cost the same after discount, print Any.
You may print each character of the string in uppercase or lowercase (for example, the strings first, First, fIRSt, and FIRST will all be treated as identical).
------ Constraints ------
$1 β€ T β€ 5000$
$1 β€ A, B β€ 100$
$0 β€ C β€ A$
$0 β€ D β€ B$
----- Sample Input 1 ------
3
85 75 35 20
100 99 0 0
30 40 0 10
----- Sample Output 1 ------
First
Second
Any
----- explanation 1 ------
Test case $1$: The cost of the first TV after discount is $85 - 35 = 50$, while the cost of the second TV after discount is $75 - 20 = 55$. Thus the first TV is cheaper to buy than the second.
Test case $2$: The cost of the first TV after discount is $100 - 0 = 100$, while the cost of the second TV after discount is $99 - 0 = 99$. Thus the second TV is cheaper to buy than the first.
Test case $3$: The cost of the first TV after discount is $30 - 0 = 30$, while the cost of the second TV after discount is $40 - 10 = 30$. Since they are equal, Chef can buy any of them.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for _ in range(int(input())):
(a, b, c, d) = map(int, input().split())
x = a - c
y = b - d
if x < y:
print('First')
elif x > y:
print('Second')
else:
print('Any')
``` | vfc_135893 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/TVDISC",
"time_limit": "0.5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n85 75 35 20\n100 99 0 0\n30 40 0 10\n",
"output": "First\nSecond\nAny\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1031/A | Solve the following coding problem using the programming language python:
You have a plate and you want to add some gilding to it. The plate is a rectangle that we split into $w\times h$ cells. There should be $k$ gilded rings, the first one should go along the edge of the plate, the second oneΒ β $2$ cells away from the edge and so on. Each ring has a width of $1$ cell. Formally, the $i$-th of these rings should consist of all bordering cells on the inner rectangle of size $(w - 4(i - 1))\times(h - 4(i - 1))$.
[Image] The picture corresponds to the third example.
Your task is to compute the number of cells to be gilded.
-----Input-----
The only line contains three integers $w$, $h$ and $k$ ($3 \le w, h \le 100$, $1 \le k \le \left\lfloor \frac{min(n, m) + 1}{4}\right\rfloor$, where $\lfloor x \rfloor$ denotes the number $x$ rounded down) β the number of rows, columns and the number of rings, respectively.
-----Output-----
Print a single positive integerΒ β the number of cells to be gilded.
-----Examples-----
Input
3 3 1
Output
8
Input
7 9 1
Output
28
Input
7 9 2
Output
40
-----Note-----
The first example is shown on the picture below.
[Image]
The second example is shown on the picture below.
[Image]
The third example is shown in the problem description.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(w, h, k) = [int(i) for i in input().split()]
s = 0
for i in range(k):
s = s + 2 * w + 2 * h - 4
w = w - 4
h = h - 4
print(s)
``` | vfc_135897 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1031/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 3 1\n",
"output": "8\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7 9 1\n",
"output": "28\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/GOHAN | Solve the following coding problem using the programming language python:
Gohan has found his way into Dr. Gero's lab. There, he finds a circuit. He starts to toy with it. He finds the inverse transverse function $(V_{in}/V_{out})$ i.e (itf) of the circuit.
Dr. Gero finds out about this. He gives Gohan an $s$-controller, through which he can randomly change the values of $s$. He finds out that each value of itf can be achieved through multiple values of $s$. But for a single particular value of itf, he finds out that this is not true. That is, just for this particular value of itf, there is only a single value of $s$ which achieves it.
To avoid punishment, Gohan must complete a task given to him by Dr.Gero, which is to find this particular value of itf. He needs your help in doing that.
HINT to solve these type of circuits. In these circuits, the capacitor and the inductor can be treated as normal resistors, with resistances as follows: The resistance of inductor is directly taken as (s * L) and that of capacitor is 1/(s * C).
------ Input: ------
The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
The first and only line of each test case contains 4 integers $R, L, C, V_{in}$, separated by single spaces.
------ Output: ------
For each test case, print a single line containing the answer. Your answer will be judged right if it is at most $10^{-2}$ away from the correct answer.
------ Constraints ------
$1 β€ T β€ 2$
$1 β€ R β€ 10^{5}$
$1 β€ L β€ 10^{5}$
$1 β€ C β€ 10^{5}$
$1 β€ V_{in} β€ 10^{9}$
----- Sample Input 1 ------
2
4 5 78 60
4 5 6 3
----- Sample Output 1 ------
-61.4
-3.8
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
t = int(input())
for _ in range(t):
(r, l, c, lol) = [float(a) for a in input().split()]
R = r
C = c
L = l
val = -R / (2 * L)
ans = val * val * L * C + 1 + R * val * c
print(ans)
``` | vfc_135901 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/GOHAN",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n4 5 78 60\n4 5 6 3",
"output": "-61.4\n-3.8",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1223/A | Solve the following coding problem using the programming language python:
Let's denote correct match equation (we will denote it as CME) an equation $a + b = c$ there all integers $a$, $b$ and $c$ are greater than zero.
For example, equations $2 + 2 = 4$ (||+||=||||) and $1 + 2 = 3$ (|+||=|||) are CME but equations $1 + 2 = 4$ (|+||=||||), $2 + 2 = 3$ (||+||=|||), and $0 + 1 = 1$ (+|=|) are not.
Now, you have $n$ matches. You want to assemble a CME using all your matches. Unfortunately, it is possible that you can't assemble the CME using all matches. But you can buy some extra matches and then assemble CME!
For example, if $n = 2$, you can buy two matches and assemble |+|=||, and if $n = 5$ you can buy one match and assemble ||+|=|||. [Image]
Calculate the minimum number of matches which you have to buy for assembling CME.
Note, that you have to answer $q$ independent queries.
-----Input-----
The first line contains one integer $q$ ($1 \le q \le 100$)Β β the number of queries.
The only line of each query contains one integer $n$ ($2 \le n \le 10^9$)Β β the number of matches.
-----Output-----
For each test case print one integer in single lineΒ β the minimum number of matches which you have to buy for assembling CME.
-----Example-----
Input
4
2
5
8
11
Output
2
1
0
1
-----Note-----
The first and second queries are explained in the statement.
In the third query, you can assemble $1 + 3 = 4$ (|+|||=||||) without buying matches.
In the fourth query, buy one match and assemble $2 + 4 = 6$ (||+||||=||||||).
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
x = int(input())
j = []
for i in range(x):
n = int(input())
if n < 4:
if n == 2:
j.append('2')
if n == 1:
j.append('3')
if n == 3:
j.append('1')
elif n % 2 == 0:
j.append('0')
else:
j.append('1')
for i in range(len(j)):
print(j[i])
``` | vfc_135907 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1223/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n2\n5\n8\n11\n",
"output": "2\n1\n0\n1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1282/B2 | Solve the following coding problem using the programming language python:
This is the hard version of this problem. The only difference is the constraint on $k$ β the number of gifts in the offer. In this version: $2 \le k \le n$.
Vasya came to the store to buy goods for his friends for the New Year. It turned out that he was very luckyΒ β today the offer "$k$ of goods for the price of one" is held in store.
Using this offer, Vasya can buy exactly $k$ of any goods, paying only for the most expensive of them. Vasya decided to take this opportunity and buy as many goods as possible for his friends with the money he has.
More formally, for each good, its price is determined by $a_i$Β β the number of coins it costs. Initially, Vasya has $p$ coins. He wants to buy the maximum number of goods. Vasya can perform one of the following operations as many times as necessary:
Vasya can buy one good with the index $i$ if he currently has enough coins (i.e $p \ge a_i$). After buying this good, the number of Vasya's coins will decrease by $a_i$, (i.e it becomes $p := p - a_i$). Vasya can buy a good with the index $i$, and also choose exactly $k-1$ goods, the price of which does not exceed $a_i$, if he currently has enough coins (i.e $p \ge a_i$). Thus, he buys all these $k$ goods, and his number of coins decreases by $a_i$ (i.e it becomes $p := p - a_i$).
Please note that each good can be bought no more than once.
For example, if the store now has $n=5$ goods worth $a_1=2, a_2=4, a_3=3, a_4=5, a_5=7$, respectively, $k=2$, and Vasya has $6$ coins, then he can buy $3$ goods. A good with the index $1$ will be bought by Vasya without using the offer and he will pay $2$ coins. Goods with the indices $2$ and $3$ Vasya will buy using the offer and he will pay $4$ coins. It can be proved that Vasya can not buy more goods with six coins.
Help Vasya to find out the maximum number of goods he can buy.
-----Input-----
The first line contains one integer $t$ ($1 \le t \le 10^4$)Β β the number of test cases in the test.
The next lines contain a description of $t$ test cases.
The first line of each test case contains three integers $n, p, k$ ($2 \le n \le 2 \cdot 10^5$, $1 \le p \le 2\cdot10^9$, $2 \le k \le n$)Β β the number of goods in the store, the number of coins Vasya has and the number of goods that can be bought by the price of the most expensive of them.
The second line of each test case contains $n$ integers $a_i$ ($1 \le a_i \le 10^4$)Β β the prices of goods.
It is guaranteed that the sum of $n$ for all test cases does not exceed $2 \cdot 10^5$.
-----Output-----
For each test case in a separate line print one integer $m$Β β the maximum number of goods that Vasya can buy.
-----Example-----
Input
8
5 6 2
2 4 3 5 7
5 11 2
2 4 3 5 7
3 2 3
4 2 6
5 2 3
10 1 3 9 2
2 10000 2
10000 10000
2 9999 2
10000 10000
4 6 4
3 2 3 2
5 5 3
1 2 2 1 2
Output
3
4
1
1
2
0
4
5
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
input = sys.stdin.buffer.readline
def getMinCost(nItems):
idx = nItems - 1
cost = 0
if idx >= k - 1:
cost += kBatchSum[idx]
idx = (idx + 1) % k - 1
if idx >= 0:
cost += aSum[idx]
return cost
t = int(input())
for _ in range(t):
(n, p, k) = [int(x) for x in input().split()]
a = [int(x) for x in input().split()]
a.sort()
aSum = [0 for _ in range(n)]
kBatchSum = [0 for _ in range(n)]
for (i, x) in enumerate(a):
aSum[i] += x
if i > 0:
aSum[i] += aSum[i - 1]
kBatchSum[i] += a[i]
if i - k >= 0:
kBatchSum[i] += kBatchSum[i - k]
if i + 1 - k < 0:
kBatchSum[i] = 0
ans = 0
for nItems in range(n + 1):
if getMinCost(nItems) <= p:
ans = nItems
print(ans)
``` | vfc_135911 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1282/B2",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "8\n5 6 2\n2 4 3 5 7\n5 11 2\n2 4 3 5 7\n3 2 3\n4 2 6\n5 2 3\n10 1 3 9 2\n2 10000 2\n10000 10000\n2 9999 2\n10000 10000\n4 6 4\n3 2 3 2\n5 5 3\n1 2 2 1 2\n",
"output": "3\n4\n1\n1\n2\n0\n4\n5\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n2 1 2\n1 1\n2 2000000000 2\n1 1\n",
"output": "2\n2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/count-alphabets3649/1 | Solve the following coding problem using the programming language python:
Given a string, The task is to count the number of alphabets present in the string.
Example 1:
Input:
S = "adjfjh23"
Output: 6
Explanation: only last 2 are not
alphabets.
Example 2:
Input:
S = "n0ji#k$"
Output: 4
Explanation: #, $, 0 are not alphabets.
Your Task:
You don't need to read input or print anything. Your task is to complete the function Count() which takes the string S as inputs and returns alphabets count.
Expected Time Complexity: O(|S|)
Expected Auxiliary Space: O(1)
Constraints:
1 β€ |S| β€ 10^{5}
S contains only upper and lower case alphabets, digits and '#', '!', '$', '&' only.
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def Count(self, S):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def Count(self, S):
import re
x = re.findall('[a-zA-Z]+', S)
x = ''.join(x)
return len(x)
``` | vfc_135915 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/count-alphabets3649/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "S = \"adjfjh23\"",
"output": "6",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "S = \"n0ji#k$\"",
"output": "4",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Determine whether a text T includes a pattern P. Your program should answer for given queries consisting of P_i.
Constraints
* 1 β€ length of T β€ 1000000
* 1 β€ length of P_i β€ 1000
* 1 β€ Q β€ 10000
* The input consists of alphabetical characters and digits
Input
In the first line, a text T is given. In the second line, an integer Q denoting the number of queries is given. In the following Q lines, the patterns P_i are given respectively.
Output
For each question, print 1 if the text includes P_i, or print 0 otherwise.
Example
Input
aabaaa
4
aa
ba
bb
xyz
Output
1
1
0
0
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
base = 127
mask = (1 << 32) - 1
def calc_hash(f, pl, tl):
dl = tl - pl
tmp = set()
t = 1
for _ in range(pl):
t = t * base & mask
e = 0
for i in range(pl):
e = e * base + f[i] & mask
for i in range(dl):
tmp.add(e)
e = e * base - t * f[i] + f[i + pl] & mask
tmp.add(e)
return tmp
t = tuple((ord(c) for c in input()))
tl = len(t)
q = int(input())
h = dict()
c = dict()
a = []
for _ in range(q):
p = input()
if p in c:
a.append(c[p])
continue
p = tuple((ord(c) for c in p))
pl = len(p)
if pl > tl:
a.append('0')
continue
bs = min(19, pl)
keys = calc_hash(p, bs, pl)
if bs not in h:
h[bs] = calc_hash(t, bs, tl)
a.append('1' if keys.issubset(h[bs]) else '0')
print('\n'.join(a))
``` | vfc_135916 | {
"difficulty": "unknown_difficulty",
"memory_limit": "268.435456 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "3.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "aabaaa\n4\nab\nba\nbb\nxyz",
"output": "1\n1\n0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "aabaaa\n4\nab\nba\nba\nxyz",
"output": "1\n1\n1\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "aabaaa\n4\nba\nbb\nac\nzyx",
"output": "1\n0\n0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "aabaaa\n4\nca\nab\nba\nzyx",
"output": "0\n1\n1\n0\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/burst-balloons/1 | Solve the following coding problem using the programming language python:
You are given N balloons, indexed from 0 to n - 1. Each balloon is painted with a number on it represented by an array arr. You are asked to burst all the balloons.
If you burst the ith balloon, you will get arr[ i - 1 ] * arr[ i ] * arr[ i + 1] coins. If i - 1, or i + 1 goes out of the bounds of the array, consider it as if there is a balloon with a 1 painted on it.
Return the maximum coins you can collect by bursting the balloons wisely.
Example 1:
Input:
N = 4
arr[ ] = {3, 1, 5, 8}
Output: 167
Explanation:
arr[ ] = {3, 1, 5, 8} - - > {3, 5, 8} - - > {3, 8} - - > { 8} - -> { }
coins = 3 *1 *5, + 3*5*8 + 1*3*8 + 1*8*1 = 167
Example 2:
Input:
N = 2
arr[ ] = {1, 10}
Output: 20
Your Task:
You don't need to read input or print anything. Your task is to complete the function maxCoins() which takes the array of integers arr and N as parameters and returns the maximum coin you can collect.
Expected Time Complexity: O(N*N*N)
Expected Auxiliary Space: O(N*N)
Constraints:
1 β€ N β€ 300
0 β€ arr [ i ] β€ 100
Write your solution by modifying this code:
```python
from typing import List
class Solution:
def maxCoins(self, N : int, arr : List[int]) -> int:
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from typing import List
import sys
class Solution:
def maxCoins(self, n: int, nums: List[int]) -> int:
nums.insert(0, 1)
nums.append(1)
dp = [[0 for i in range(n + 2)] for j in range(n + 2)]
for i in range(n, 0, -1):
for j in range(1, n + 1):
if i > j:
continue
maxi = -sys.maxsize - 1
for ind in range(i, j + 1):
cost = nums[i - 1] * nums[ind] * nums[j + 1] + dp[i][ind - 1] + dp[ind + 1][j]
maxi = max(maxi, cost)
dp[i][j] = maxi
return dp[1][n]
``` | vfc_135921 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/burst-balloons/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 4\r\n\r\narr[ ] = {3, 1, 5, 8}",
"output": "167",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 2\r\n\r\narr[ ] = {1, 10}",
"output": "20",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/CIELNUM2 | Solve the following coding problem using the programming language python:
Recently, chef Ciel often hears about lucky numbers.
Everybody knows that lucky numbers are positive integers
whose decimal representation contains only the lucky digits 4 and 7.
For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Ciel decides to make Ciel numbers.
As you know, Ciel likes the digit 8 very much.
And then, Ciel likes the digits 5 and 3.
So Ciel defines Ciel numbers as the positive integers k such that d(k, 8) β₯ d(k, 5) β₯ d(k, 3) and d(k, i) = 0 for all i = 0, 1, 2, 4, 6, 7, 9,
where d(k, i) denotes the number of the digit i in the decimal representation of the integer k.
For example, the first few Ciel numbers are 8, 58, 85, 88, 358, 385, 538, 583, 588, 835, 853, 858, 885, 888, ....
Ciel's restaurant has N menus.
And Ciel want to know how many menus have Ciel numbers as their price.
Your task is to find it.
------ Input ------
The first line contains an integer N.
Then N lines follow.
Each line has the name S_{i} of the menu and its price P_{i} separated by a single space.
------ Output ------
Print the number of menus whose prices are one of Ciel numbers.
------ Constraints ------
1 β€ N β€ 1000
1 β€ |S_{i}| β€ 100, where |S_{i}| denotes the length of S_{i}
Each letter of S_{i} is either an alphabetical letter or a digit or a single quotation mark or a space.
1 β€ P_{i} < 1000000 (10^{6})
P_{i} contains no leading zeros.
------ Notes ------
Different operating systems have different ways of representing a newline; do not assume one particular way will be used.
----- Sample Input 1 ------
6
milk 58
Ciel's Drink 80
The curry 2nd edition 888888
rice omelet 85855
unagi 1
The first and last letters can be a space 358
----- Sample Output 1 ------
3
----- explanation 1 ------
58 and 888888 and 358 are Ciel numbers.
80 and 85855 and 1 are not Ciel numbers.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = int(input())
count1 = 0
for _ in range(n):
arr = list(input().split())
price = int(arr[-1])
c = 0
l = []
price
while price > 0:
a = price % 10
c = c + 1
if a == 3 or a == 5 or a == 8:
l.append(a)
else:
break
price = int(price / 10)
if c == len(l) and l.count(8) >= l.count(5) and (l.count(5) >= l.count(3)):
count1 = count1 + 1
print(count1)
``` | vfc_135926 | {
"difficulty": "medium",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CIELNUM2",
"time_limit": "0.621212 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\nmilk 58\nCiel's Drink 80\nThe curry 2nd edition 888888\nrice omelet 85855\nunagi 1\n The first and last letters can be a space 358",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\nmilk 58\nCiel's Drink 35\nThe curry 2nd edition 888888\nrice omelet 85855\nunagi 1\n The first and last letters can be a space 358",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\nmilk 64\nCsel'i Drink 35\nThf curry 2nd edition 888888\nrice omelet 85855\nunagi 1\n The first dna last letters can be a space 358",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\nmilk 91\nCiel's Drink 80\nThe curry 2nd edition 888888\nrice omelet 85855\nunagi 1\n The firsu amd last letters can be a space 253",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\nklin 18\nCiel's Drink 174\nThe curry 2nd edition 677505\necis omelet 85855\nunagi 1\n She firsu amd last letters can eb a space 253",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\nmilk 58\nCiel's Drink 80\nThe curry 2nd edition 888888\nrice omelet 85855\niganu 1\n The first and last letters can be a space 358",
"output": "3\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/the-remaining-cake1349/1 | Solve the following coding problem using the programming language python:
Given a circle of radius R, divide it into N pieces such that every piece is 1/Mth of the original circle, where N and M are positive non-zero integers and M>=N. Find the arc length of the piece of the circle that is left over after the distribution.
Example 1:
Input:
R=7.50
N=4
M=7
Output:
20.19
Explanation:
3/7th of the circle is left which equals
20.19 arc length.
Example 2:
Input:
R=6.66
N=3
M=4
Output:
10.46
Explanation:
1/4th of the circle is left which equals
10.46 of arc length.
Your Task:
You don't need to read input or print anything. Your task is to complete the function remainingCircle() which takes R, N, M as input parameters and returns the arc length of the portion of the circle left after removing N portions of size 1/Mth each.
Expected Time Complexity:O(1)
Expected Auxillary Space:O(1)
Constraints:
1<=R<=1000.0
1<=N<=M<=1000
Pi=3.14
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def remainingCircle(self,R,N,M):
#code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def remainingCircle(self, R, N, M):
return 2 * 3.14 * R * ((M - N) / M)
``` | vfc_135930 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/the-remaining-cake1349/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "R=7.50\nN=4\nM=7",
"output": "20.19",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "R=6.66\nN=3\nM=4",
"output": "10.46",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/NOTEBOOK | Solve the following coding problem using the programming language python:
You know that 1 kg of pulp can be used to make 1000 pages and 1 notebook consists of 100 pages.
Suppose a notebook factory receives N kg of pulp, how many notebooks can be made from that?
------ Input Format ------
- First line will contain T, the number of test cases. Then the test cases follow.
- Each test case contains a single integer N - the weight of the pulp the factory has (in kgs).
------ Output Format ------
For each test case, output the number of notebooks that can be made using N kgs of pulp.
------ Constraints ------
$1 β€ T β€ 100$
$1 β€ N β€ 100$
----- Sample Input 1 ------
3
1
100
50
----- Sample Output 1 ------
10
1000
500
----- explanation 1 ------
Test case-1: $1$ kg of pulp can be used to make $1000$ pages which can be used to make $10$ notebooks.
Test case-2: $100$ kg of pulp can be used to make $100000$ pages which can be used to make $1000$ notebooks.
Test case-3: $50$ kg of pulp can be used to make $50000$ pages which can be used to make $500$ notebooks.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for _ in range(int(input())):
n = int(input())
print(round(n * 1000 / 100))
``` | vfc_135935 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/NOTEBOOK",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n1\n100\n50\n",
"output": "10\n1000\n500\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Akshit and Rahul are playing a game. Initially, two positive integers A and B are written on a blackboard. The players take turns, starting with Akshit. On his or her turn, a player can replace A with A - kB for any positive integer k, or replace B with B - kA for any positive integer k. The first person to make one of the numbers drop to zero or below loses.
For example, if the numbers are initially (12, 51), the game might progress as follows:
Akshit replaces 51 with 51 - 3*12 = 15, leaving (12, 15) on the blackboard.
Rahul replaces 15 with 15 - 1*12 = 3, leaving (12, 3) on the blackboard.
Akshit replaces 12 with 12 - 3*3 = 3, leaving (3, 3) on the blackboard.
Rahul replaces one 3 with 3 - 1*3 = 0, and loses.
We will say (A, B) is a winning position if Akshit can always win a game that starts with (A, B) on the blackboard, no matter what Rahul does.
Given four integers A1, A2, B1, B2, count how many winning positions (A, B) there are with A1 β€ A β€ A2 and B1 β€ B β€ B2.
Input
The first line of the input gives the number of test cases, T. T test cases follow, one per line. Each line contains the four integers A1, A2, B1, B2, separated by spaces.
Output
For each test case, output one line containing "Case #x: y", where x is the case number (starting from 1), and y is the number of winning positions (A, B) with A1 β€ A β€ A2 and B1 β€ B β€ B2.
CONSTRAINTS
1 β€ T β€ 100.
1 β€ A1 β€ A2 β€ 1,000,000.
1 β€ B1 β€ B2 β€ 1,000,000.
SAMPLE INPUT
2
5 5 8 8
11 11 2 2
SAMPLE OUTPUT
Case #1: 0
Case #2: 1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from fractions import gcd
def isprime(n):
i = 2
while i*i <= n:
if n % i == 0:
return False
i = i + 1
return True
for p in range(int(input())):
a, b, c, d = list(map(int,input().split(" ")))
count = 0
for i in range(a, b+1):
for j in range(c ,d+1):
if i == j:
continue
elif gcd(i, j) != 1:
count = count + 1
elif isprime(i) and isprime(j):
count = count + 1
print("Case #%d: %d"%(p+1, count))
``` | vfc_135939 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n5 5 8 8\n11 11 2 2",
"output": "Case #1: 0\nCase #2: 1\nCase #3: 20",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n5 5 8 8\n11 11 2 2\n1 6 1 6",
"output": "Case #1: 0\nCase #2: 1",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/13/C | Solve the following coding problem using the programming language python:
Little Petya likes to play very much. And most of all he likes to play the following game:
He is given a sequence of N integer numbers. At each step it is allowed to increase the value of any number by 1 or to decrease it by 1. The goal of the game is to make the sequence non-decreasing with the smallest number of steps. Petya is not good at math, so he asks for your help.
The sequence a is called non-decreasing if a1 β€ a2 β€ ... β€ aN holds, where N is the length of the sequence.
Input
The first line of the input contains single integer N (1 β€ N β€ 5000) β the length of the initial sequence. The following N lines contain one integer each β elements of the sequence. These numbers do not exceed 109 by absolute value.
Output
Output one integer β minimum number of steps required to achieve the goal.
Examples
Input
5
3 2 -1 2 11
Output
4
Input
5
2 1 1 1 1
Output
1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from bisect import insort
def min_steps_N(arr):
pri_q = []
ans = 0
for n in arr:
if pri_q:
if pri_q[-1] > n:
ans += pri_q[-1] - n
pri_q.pop()
insort(pri_q, n)
insort(pri_q, n)
return ans
N = input()
arr = list(map(int, input().split(' ')))
print(min_steps_N(arr))
``` | vfc_135943 | {
"difficulty": "hard",
"memory_limit": "64.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/13/C",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n0 0 0 0 0\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n10 2\n",
"output": "8\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "20\n10 5 3 1 3 7 7 6 8 3 6 2 9 10 5 2 10 9 10 4\n",
"output": "41\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n8 8 2 2 2 2 10 10 10 8\n",
"output": "14\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/kth-prime-factor-of-a-number0132/1 | Solve the following coding problem using the programming language python:
Given two numbers n and k, find the k^{th} prime factor of n.
Example 1:
Input: n = 225, k = 2
Output: 3
Explaination: The prime factors 3, 3, 5
and 5. So 3 is the 2nd one.
Example 2:
Input: n = 81, k = 5
Output: -1
Explaination: The 4 prime factors are
3, 3, 3, 3. So there is no 5th one.
Your Task:
You do not need to read input or print anything. Your task is to complete the function kthPrime() which takes the value n and k as input parameters and return the kth prime number. If k is greater than total number of primes then return -1.
Expected Time Complexity: O(n*log(log n))
Expected Auxiliary Space: O(n)
Constraints:
1 β€ n β€ 10^{4}
1 β€ k β€ 50
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def kthPrime(self, n, k):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def prime(self, n):
for i in range(2, int(n ** 0.5) + 1):
if n % i == 0:
return False
return True
def kthPrime(self, n, k):
l = []
c = 0
for i in range(2, n + 1):
if self.prime(i):
while n % i == 0:
l.append(i)
n = n // i
if len(l) >= k:
return l[k - 1]
else:
return -1
``` | vfc_135948 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/kth-prime-factor-of-a-number0132/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "n = 225, k = 2",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "n = 81, k = 5",
"output": "-1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/18/D | Solve the following coding problem using the programming language python:
Last year Bob earned by selling memory sticks. During each of n days of his work one of the two following events took place:
* A customer came to Bob and asked to sell him a 2x MB memory stick. If Bob had such a stick, he sold it and got 2x berllars.
* Bob won some programming competition and got a 2x MB memory stick as a prize. Bob could choose whether to present this memory stick to one of his friends, or keep it.
Bob never kept more than one memory stick, as he feared to mix up their capacities, and deceive a customer unintentionally. It is also known that for each memory stick capacity there was at most one customer, who wanted to buy that memory stick. Now, knowing all the customers' demands and all the prizes won at programming competitions during the last n days, Bob wants to know, how much money he could have earned, if he had acted optimally.
Input
The first input line contains number n (1 β€ n β€ 5000) β amount of Bob's working days. The following n lines contain the description of the days. Line sell x stands for a day when a customer came to Bob to buy a 2x MB memory stick (0 β€ x β€ 2000). It's guaranteed that for each x there is not more than one line sell x. Line win x stands for a day when Bob won a 2x MB memory stick (0 β€ x β€ 2000).
Output
Output the maximum possible earnings for Bob in berllars, that he would have had if he had known all the events beforehand. Don't forget, please, that Bob can't keep more than one memory stick at a time.
Examples
Input
7
win 10
win 5
win 3
sell 5
sell 3
win 10
sell 10
Output
1056
Input
3
win 5
sell 6
sell 4
Output
0
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
N = int(input())
L = [-1] * 2010
DP = [0] * 5010
for i in range(N):
(type, cost) = input().split()
cost = int(cost)
if type == 'win':
L[cost] = i
elif L[cost] >= 0:
DP[i + 1] = DP[L[cost]] + 2 ** cost
DP[i + 1] = max(DP[i], DP[i + 1])
print(DP[N])
``` | vfc_135949 | {
"difficulty": "hard",
"memory_limit": "128.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/18/D",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10\nsell 1898\nsell 173\nsell 1635\nsell 29\nsell 881\nsell 434\nsell 1236\nsell 14\nwin 29\nsell 1165\n",
"output": "0",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\nsell 573\nwin 1304\nsell 278\nwin 1631\nsell 1225\nsell 1631\nsell 177\nwin 1631\nwin 177\nsell 1304\n",
"output": "95482312335125227379668481690754940528280513838693267460502082967052005332103697568042408703168913727303170456338425853153094403747135188778307041838920404959089576368946137708987138986696495077466398994298434148881715073638178666201165545650953479735059082316661443204882826188032944866093372620219104327689636641547141835841165681118172603993695103043804276669836594061369229043451067647935298287687852302215923887110435577776767805943668204998410716005202198549540411238299513630278811648",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Rahul and Rashi are bored with playing the game of Nim, particularly after Rahul gained a thorough understanding of game theory, and would always win.
Now, they are going to play on a variation.
There are only 2 piles of coins. Each player can make the following move:
Pick K ( β₯ 1) coins from pile 1.
Pick K ( β₯ 1) coins from pile 2.
Pick K ( β₯ 1) coins from pile 1 as well as pile 2.
As with the older version, the person unable to make a move shall lose. Can you help analyse this game for the novice, Rashi.
Input Format:
The first line contains an integer T, denoting the number of test cases to follow.
The next T lines each contain two integers N1 and N2, separated by a single space, denoting sizes of first pile and second pile respectively.
Output Format:
The output file should contain exactly T lines.
Output Play, if Rashi would win as the first player and Don't Play, if she shall lose.
Constraints:
1 β€ T β€ 10^5
0 β€ N1, N2 β€ 10^6
SAMPLE INPUT
3
1 1
0 2
1 2
SAMPLE OUTPUT
Play
Play
Don't Play
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
a = {}
def winOrLose(x, y):
if (x > y):
return winOrLose(y, x)
if (a[x] == y):
return False
return True
def compute():
a[0] = 0
d = 1
for i in range(1000007):
if(i in a):
continue
else:
a[i] = i + d
a[i + d] = i
d += 1
compute()
numOfInput = int(input())
for x in range(numOfInput):
vals = list(map(int, input().split(" ")))
if(winOrLose(vals[0],vals[1])):
print("Play")
else:
print("Don't Play")
``` | vfc_135953 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
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131\n161 30\n1 12\n4 142\n117 275\n125 73\n55 100\n238 122\n6 180\n103 63\n265 257\n105 2\n72 47\n197 193\n137 164\n284 112\n121 102\n139 143\n40 269\n107 21\n264 268\n283 170\n5 237\n42 180\n185 122\n117 95\n279 279\n270 180\n42 300\n94 297\n228 165\n276 119\n119 17\n60 265\n103 214\n184 257\n198 251\n199 212\n280 200\n107 241\n123 176\n137 271\n68 160\n75 100\n80 133\n259 111\n215 282\n212 100\n27 165\n162 186\n228 184\n101 262\n72 13\n236 294\n221 202\n26 179\n116 294\n88 46\n76 292\n256 262\n61 165\n253 183\n88 112\n168 241\n202 221\n125 5\n12 230\n202 122\n259 295\n108 102\n130 230\n198 87\n257 137\n14 276\n0 208\n65 169\n195 2\n260 226\n68 134\n158 121\n234 80\n259 126\n113 87\n236 156\n75 280\n55 34\n28 284\n105 57\n149 148\n202 114\n237 201\n245 193\n199 233\n277 88\n103 124\n247 247\n258 55\n115 276\n13 215\n284 213\n33 121\n276 197\n99 174\n114 114\n259 40\n35 270\n179 130\n277 255\n249 22\n218 57\n248 83\n3 263\n272 74\n157 58\n113 207\n203 29\n88 81\n262 51\n274 89\n28 144\n97 222\n21 24\n157 46\n50 143\n23 270\n136 35\n281 205\n16 24\n268 265\n29 173\n54 76\n283 92\n185 54\n14 213\n145 145\n145 25\n218 176\n179 19\n299 122\n187 12\n161 26\n30 63\n125 174\n82 61\n98 94\n182 182\n24 129\n30 259\n241 126\n4 32\n257 176\n269 221\n55 201\n231 75\n283 20\n113 97\n136 198\n172 268\n291 261\n219 259\n6 37\n243 198\n124 48\n234 86\n85 92\n225 89\n15 152\n156 151\n66 234\n284 75\n30 278\n114 4\n292 76\n77 273\n277 107\n101 39\n222 52\n220 193\n169 131\n158 291\n9 220\n70 250\n163 138\n37 223\n43 8\n112 103\n152 74\n130 192\n160 135\n236 170\n63 10\n297 97\n207 207\n107 3\n110 242\n205 71\n215 274\n149 300\n248 159\n17 201\n243 182\n247 220\n243 177\n150 266\n261 279\n135 236\n196 26\n119 166\n52 47\n253 289\n146 199\n136 176\n234 267\n24 244\n169 209\n236 185\n90 244\n264 81\n161 298\n172 173\n75 130\n83 173\n162 135\n169 87\n135 103\n150 183\n142 109\n249 80\n121 268\n295 131\n265 99\n126 268\n165 151\n79 202\n62 3\n134 127\n255 3\n8 210\n269 246\n206 253\n259 271\n145 76\n74 127\n103 15\n231 58\n76 72\n38 217\n44 266\n48 171\n123 111\n256 263\n156 77\n276 195\n252 298\n199 118\n70 218\n125 128\n117 253\n156 193\n50 156\n206 298\n30 29\n176 169\n8 177\n75 73\n174 167\n219 24\n107 99\n151 77\n16 196\n13 45\n185 42\n14 73\n292 228\n165 172\n91 17\n183 294\n164 293\n290 276\n160 269\n213 188\n296 72\n152 140\n247 148\n1 101\n23 215\n43 121\n142 27\n197 99\n22 183\n280 198\n58 22\n25 294\n159 66\n97 269\n218 183\n240 264\n56 219\n79 136\n92 280\n3 46\n139 97\n179 32\n233 119\n245 34\n292 87\n43 9\n268 177\n79 7\n51 203\n213 120\n12 174\n76 251\n286 233\n19 49\n75 294\n263 221\n234 288\n29 194\n40 134\n285 287\n158 293\n54 290\n31 38\n254 199\n107 183\n121 37\n180 12\n248 136\n197 17\n55 212\n170 194\n88 116\n284 203\n44 179\n28 97\n199 144\n204 196\n168 250\n85 13\n145 226\n250 88\n287 300\n80 288\n250 77\n229 198\n58 75\n275 211\n107 279\n76 30\n80 187\n237 6\n279 133\n69 110\n241 7\n289 240\n240 164\n121 7\n81 122\n22 277\n236 20\n217 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249\n293 137\n288 118\n30 221\n164 166\n223 241\n191 94\n28 59\n42 160\n294 167\n36 194\n153 211\n28 217\n77 243\n104 157\n147 172\n296 134\n251 245\n209 38\n121 275\n179 87\n282 15\n299 156\n94 150\n217 198\n205 157\n291 203\n123 197\n77 96\n233 277\n143 252\n237 239\n32 80\n92 17\n87 50\n85 187\n222 188\n233 235\n144 189\n159 179\n204 225\n125 15\n29 72\n237 84\n113 151\n25 176\n151 80\n196 14\n181 98\n115 213\n192 216\n4 206\n44 36\n182 222\n75 29\n161 25\n124 256\n85 171\n15 250\n203 178\n295 281\n55 115\n33 49\n53 258\n207 240\n33 88\n219 101\n197 177\n212 203\n155 268\n233 296\n105 279\n262 12\n56 67\n267 40\n290 289\n104 197\n211 30\n5 49\n271 299\n242 51\n162 34\n5 258\n194 64\n143 109\n12 278\n283 108\n38 171\n182 20\n49 163\n289 87\n170 98\n77 168\n257 44\n196 241\n163 60\n224 292\n96 128\n210 105\n66 39\n113 211\n70 171\n74 299\n230 120\n79 96\n216 97\n1 233\n94 56\n108 107\n70 116\n69 211\n203 71\n50 138\n53 74\n271 90\n88 203\n55 77\n139 123\n258 152\n198 244\n207 255\n98 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15\n83 63\n300 61\n249 274\n41 104\n43 182\n210 19\n179 117\n106 104\n139 78\n56 266\n106 11\n129 57\n103 198\n145 127\n299 76\n24 13\n262 19\n224 40\n4 70\n220 85\n13 185\n203 86\n150 223\n161 5\n230 277\n137 174\n24 150\n57 7\n41 24\n104 51\n247 246\n129 100\n0 96\n144 138\n208 161\n236 149\n163 275\n40 43\n214 14\n278 239\n234 181\n278 70\n2 236\n211 189\n186 81\n173 8\n73 74\n141 31\n294 79\n142 16\n184 226\n100 96\n37 19\n243 294\n130 275\n73 190\n254 130\n14 247\n292 206\n8 197\n90 13\n62 10\n155 285\n55 154\n135 194\n260 257\n180 203\n173 157\n210 47\n66 128\n132 72\n253 283\n241 105\n93 176\n251 195\n207 143\n178 146\n39 246\n182 231\n30 166\n264 20\n108 28\n296 254\n21 238\n248 294\n8 26\n3 235\n292 165\n85 63\n215 180\n110 76\n130 195\n279 0\n150 295\n251 162\n171 273\n263 47\n92 295\n28 39\n191 258\n266 103\n131 104\n184 179\n160 257\n78 279\n64 51\n103 44\n45 30\n290 126\n90 186\n57 239\n159 81\n6 230\n220 9\n14 24\n163 50\n183 276\n237 34\n251 172\n85 277\n285 87\n174 109\n181 186\n29 83\n221 206\n129 243\n214 96\n36 229\n77 167\n10 45\n3 76\n12 78\n105 63\n144 109\n251 129\n101 107\n207 34\n259 162\n223 290\n98 215\n136 45\n90 121\n212 202\n166 14\n51 106\n243 117\n91 140\n33 204\n196 48\n57 272\n256 231\n126 215\n248 56\n233 9\n13 51\n238 2\n5 54\n93 235\n26 37\n244 172\n232 216\n181 33\n288 184\n69 132\n120 258\n145 85\n269 106\n111 188\n137 24\n240 127\n91 255\n162 219\n275 26\n216 17\n151 235\n119 202\n119 113\n286 63\n119 217\n266 141\n164 230\n16 164\n81 271\n189 108\n2 262\n286 85\n245 296\n280 136\n53 269\n158 84\n213 132\n35 93\n113 154\n125 120\n213 137\n168 151\n45 98\n250 27\n38 221\n273 127\n300 256\n299 97\n272 191\n137 255\n132 256\n288 247\n208 165\n54 161\n99 238\n62 214\n191 15\n218 42\n113 157\n75 11\n155 25\n119 86\n192 265\n145 169\n111 153\n103 58\n36 43\n70 29\n124 6\n76 33\n11 217\n261 294\n56 197\n266 186\n253 106\n143 280\n133 253\n24 176\n111 105\n94 18\n42 114\n193 33\n103 209\n217 69\n234 125\n287 258\n110 295\n16 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121\n38 55\n274 109\n190 73\n232 108\n287 131\n213 253\n121 299\n173 6\n242 17\n160 120\n209 9\n12 270\n39 126\n125 141\n65 148\n164 48\n276 264\n190 29\n28 44\n27 291\n16 132\n24 65\n62 290\n183 24\n228 163\n254 233\n293 96\n181 177\n263 291\n137 284\n64 288\n22 216\n128 255\n258 15\n275 196\n225 141\n39 103\n110 258\n276 152\n143 298\n190 145\n120 275\n97 91\n131 208\n51 159\n37 269\n177 56\n14 92\n235 13\n226 190\n3 204\n231 150\n21 285\n115 117\n163 228\n238 57\n294 81\n241 239\n169 191\n290 38\n3 254\n279 222\n96 300\n180 43\n270 60\n285 146\n140 93\n96 179\n91 226\n43 42\n34 37\n299 160\n108 155\n126 32\n192 190\n246 222\n256 85\n123 292\n160 220\n246 211\n279 18\n49 156\n10 105\n25 129\n299 290\n127 79\n254 133\n76 300\n32 7\n46 22\n129 92\n228 234\n26 156\n218 251\n29 82\n162 177\n112 17\n99 41\n174 69\n25 51\n247 287\n239 251\n117 247\n267 252\n160 55\n201 288\n283 155\n266 13\n7 89\n256 39\n276 219\n172 284\n177 224\n274 145\n14 229\n241 210\n108 20\n154 242\n155 30\n74 189\n247 293\n285 110\n204 101\n229 2\n49 246\n252 191\n115 35\n264 51\n266 190\n37 56\n110 24\n239 299\n92 90\n179 137\n132 22\n76 241\n160 162\n61 242\n183 263\n263 132\n159 32\n252 60\n101 129\n160 281\n216 53\n144 286\n130 34\n103 86\n6 27\n4 300\n5 218\n76 28\n262 284\n177 123\n12 4\n4 289\n78 125\n83 127\n156 275\n288 74\n132 149\n274 245\n181 34\n268 4\n24 173\n43 293\n198 270\n179 270\n281 172\n174 13\n215 250\n149 189\n102 49\n284 285\n252 100\n7 271\n123 85\n218 173\n225 292\n8 176\n258 117\n47 46\n279 103\n255 252\n26 110\n43 290\n168 161\n99 286\n156 230\n191 150\n242 291\n94 158\n193 286\n102 55\n77 63\n109 276\n27 254\n166 2\n6 173\n50 137\n267 174\n98 172\n116 53\n100 200\n27 160\n76 68\n119 134\n119 3\n38 71\n41 52\n232 8\n151 251\n145 154\n23 300\n192 98\n80 290\n17 149\n11 63\n284 235\n264 104\n145 232\n2 51\n223 270\n179 31\n10 158\n6 40\n85 75\n225 266\n90 210\n147 101\n262 253\n68 162\n56 161\n102 10\n141 90\n186 66\n175 91\n118 237\n162 24\n253 294\n214 69\n247 21\n260 138\n82 37\n295 191\n263 159\n29 64\n290 161\n231 5\n290 30\n254 188\n171 104\n259 94\n49 183\n281 5\n25 162\n219 61\n143 22\n33 228\n140 117\n106 3\n45 86\n120 244\n292 111\n283 69\n30 49\n77 30\n271 64\n46 37\n166 77\n156 160\n170 211\n123 95\n252 235\n54 250\n174 29\n3 125\n209 175\n69 214\n68 194\n79 139\n122 71\n172 165\n222 12\n185 29\n226 147\n183 81\n20 31\n105 174\n114 100\n188 2\n9 169\n83 52\n85 174\n167 227\n114 105\n280 153\n235 224\n287 114\n80 211\n171 9\n251 268\n69 174\n41 126\n242 164\n104 29\n20 275\n30 77\n202 16\n37 149\n4 81\n69 260\n9 61\n0 16\n273 89\n196 212\n73 71\n78 185\n298 201\n121 213\n116 107\n206 213\n87 250\n233 149\n24 96\n258 294\n36 276\n138 18\n241 34\n227 79\n234 144\n158 149\n260 290\n206 7\n172 208\n62 201\n58 44\n63 262\n30 113\n221 119\n222 205\n292 27\n201 194\n177 59\n170 195\n272 292\n71 114\n243 81\n189 115\n256 74\n95 35\n263 295\n37 256\n110 48\n262 139\n5 213\n79 103\n51 100\n283 62\n67 223\n17 289\n118 103\n103 32\n148 281\n222 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297\n196 177\n22 271\n81 181\n167 107\n126 182\n46 130\n95 269\n74 255\n59 192\n176 134\n145 288\n156 129\n63 102\n252 61\n216 233\n282 154\n69 296\n237 247\n202 247\n247 47\n207 287\n222 181\n198 118\n74 106\n209 24\n213 257\n226 260\n181 192\n80 231\n154 262\n140 276\n23 278\n47 82\n231 50\n219 86\n295 186\n88 216\n205 62\n138 264\n39 264\n140 205\n100 185\n114 96\n98 24\n246 289\n143 171\n7 183\n27 293\n238 269\n216 31\n78 230\n145 79\n188 127\n231 176\n99 176\n299 61\n226 286\n243 291\n277 253\n134 244\n164 147\n220 31\n47 77\n7 14\n9 142\n12 91\n76 129\n270 290\n298 142\n67 115\n67 190\n88 75\n192 28\n182 26\n87 220\n134 64\n289 42\n248 158\n139 13\n88 240\n61 121\n109 247\n266 256\n92 100\n208 224\n105 241\n27 282\n8 221\n79 16\n293 27\n71 245\n180 128\n81 13\n77 249\n87 42\n19 278\n234 287\n48 210\n12 56\n189 18\n102 217\n94 93\n299 296\n144 33\n181 59\n183 59\n162 227\n247 4\n70 297\n119 239\n30 2\n222 294\n66 269\n181 10\n201 182\n92 101\n299 204\n297 138\n232 65\n158 273\n153 291\n242 237\n171 112\n67 281\n290 227\n246 272\n199 65\n126 139\n284 8\n26 250\n98 193\n176 47\n125 176\n260 93\n229 119\n170 71\n79 29\n203 1\n44 201\n184 119\n60 289\n182 174\n187 193\n147 250\n262 161\n239 47\n253 182\n207 91\n24 205\n126 271\n249 145\n70 265\n19 293\n152 104\n12 295\n81 243\n38 140\n109 239\n269 52\n261 77\n213 26\n124 133\n165 253\n169 30\n62 69\n121 109\n89 196\n69 74\n293 267\n97 192\n164 222\n6 122\n157 239\n253 270\n218 204\n272 144\n160 197\n105 86\n289 218\n283 284\n272 272\n148 8\n40 176\n109 274\n269 276\n253 284\n176 298\n28 103\n278 165\n67 237\n156 213\n94 286\n288 172\n258 193\n107 84\n39 207\n300 81\n264 284\n38 135\n89 169\n161 81\n200 155\n142 276\n293 55\n107 211\n218 86\n190 287\n271 292\n47 214\n273 54\n40 192\n273 96\n123 255\n60 159\n12 8\n199 207\n212 45\n51 280\n258 205\n2 169\n1 242\n218 168\n37 38\n2 247\n38 224\n245 157\n118 19\n61 164\n26 259\n246 216\n96 162\n273 75\n20 143\n229 71\n289 84\n49 170\n69 96\n159 47\n73 110\n286 192\n84 67\n66 105\n198 159\n223 126\n122 138\n88 35\n10 240\n178 260\n6 202\n262 265\n209 15\n177 40\n129 269\n107 246\n201 146\n227 291\n55 46\n52 138\n255 182\n259 211\n165 254\n126 206\n256 70\n145 263\n237 26\n57 166\n270 17\n56 186\n160 76\n33 161\n41 36\n163 250\n242 185\n154 75\n167 4\n34 158\n283 189\n68 50\n214 107\n6 22\n251 107\n257 52\n1 128\n236 157\n212 170\n42 57\n267 134\n3 68\n69 129\n294 264\n18 165\n109 171\n212 55\n294 44\n280 110\n18 95\n242 46\n151 163\n36 275\n193 205\n69 115\n263 60\n87 164\n31 19\n56 84\n242 167\n36 270\n214 117\n83 278\n201 221\n64 209\n277 165\n248 84\n123 23\n293 190\n28 227\n241 255\n60 37\n120 26\n64 180\n164 86\n163 253\n122 151\n145 20\n165 170\n231 237\n141 253\n18 248\n208 210\n244 196\n230 102\n261 173\n218 261\n277 209\n264 56\n119 280\n205 130\n7 159\n288 289\n77 245\n59 203\n175 196\n70 200\n98 246\n125 267\n23 58\n211 13\n225 9\n149 277\n282 256\n215 127\n5 154\n230 147\n13 247\n20 8\n247 80\n294 76\n130 175\n72 144\n235 289\n146 51\n114 70\n223 250\n150 64\n175 74\n143 7\n241 80\n64 66\n288 114\n220 52\n30 85\n155 261\n204 298\n148 31\n280 75\n22 152\n109 41\n8 195\n184 274\n31 68\n0 62\n88 87\n281 207\n279 175\n246 133\n152 51\n49 256\n262 112\n29 91\n120 20\n139 30\n124 27\n210 203\n251 138\n4 113\n163 109\n38 81\n79 83\n91 151\n83 169\n138 286\n264 24\n119 18\n73 286\n211 283\n262 116\n169 2\n224 186\n17 112\n155 41\n251 187\n171 231\n29 259\n166 111\n170 286\n42 137\n259 140\n115 57\n233 114\n226 199\n187 87\n129 279\n219 244\n205 244\n65 164\n107 62\n225 12\n265 208\n256 264\n228 202\n213 53\n150 41\n198 60\n136 159\n157 290\n77 88\n43 191\n68 220\n100 41\n126 289\n140 54\n198 4\n82 126\n50 134\n37 120\n87 251\n28 146\n169 58\n120 40\n280 48\n4 49\n173 67\n210 124\n84 270\n101 42\n10 206\n63 15\n300 94\n62 216\n154 130\n66 29\n137 173\n52 93\n252 156\n91 225\n13 250\n161 284\n38 278\n37 198\n244 230\n273 231\n96 272\n268 198\n195 38\n273 17\n69 191\n11 224\n62 198\n75 34\n192 38\n51 14\n153 153\n11 140\n222 258\n194 101\n216 34\n38 219\n17 93\n150 237\n258 37\n255 275\n233 172\n78 16\n101 296\n56 296\n100 119\n131 144\n98 160\n13 179\n112 83\n257 53\n271 127\n12 202\n107 140\n97 156\n249 224\n217 262\n264 189\n215 72\n140 201\n270 34\n226 111\n212 33\n231 53\n195 79\n140 262\n137 252\n118 150\n220 272\n51 15\n154 145\n11 225\n133 95\n172 5\n169 278\n66 256\n21 197\n153 255\n111 67\n56 145\n217 62\n72 248\n94 284\n133 197\n127 109\n125 205\n87 12\n114 113\n28 125\n2 133\n91 66\n147 266\n20 1\n192 79\n78 28\n2 106\n154 230\n34 237\n208 279\n74 110\n50 256\n29 182\n179 86\n294 202\n16 202\n18 55\n218 267\n111 242\n215 204\n220 291\n33 79\n105 195\n53 152\n201 290\n183 117\n221 58\n123 209\n61 264\n196 218\n191 175\n255 271\n193 247\n72 51\n79 240\n281 257\n108 98\n22 156\n156 166\n172 250\n288 66\n52 177\n270 211\n228 273\n19 21\n197 152\n9 298\n167 54\n221 133\n274 83\n262 72\n136 57\n5 108\n272 106\n223 58\n40 92\n255 156\n125 155\n80 151\n85 203\n257 40\n85 157\n48 21\n209 207\n4 175\n227 109\n0 162\n92 261\n72 156\n227 118\n116 227\n197 42\n201 155\n139 173\n134 128\n207 2\n236 283\n288 136\n265 273\n300 257\n300 56\n54 176\n186 37\n233 27\n206 128\n237 216\n251 94\n52 189\n42 24\n132 117\n153 172\n272 141\n45 14\n90 251\n291 85\n62 120\n238 218\n16 175\n292 250\n197 282\n60 240\n94 132\n180 72\n184 113\n216 205\n248 199\n212 197\n199 26\n63 2\n145 113\n67 192\n195 171\n6 54\n61 205\n244 149\n62 38\n226 33\n65 282\n239 243\n295 286\n88 297\n285 124\n12 142\n194 240\n213 107\n48 54\n169 133\n90 267\n80 158\n202 121\n140 299\n17 2\n206 261\n233 80\n173 104\n271 269\n1 279\n14 82\n176 205\n197 117\n36 141\n160 156\n19 217\n64 187\n102 189\n85 122\n177 52\n22 272\n268 199\n110 200\n74 222\n107 30\n213 201\n262 207\n79 18\n7 144\n251 244\n243 65\n48 93\n79 79\n211 295\n85 204\n91 119\n95 150\n109 146\n291 150\n265 81\n152 146\n42 248\n221 15\n130 189\n124 119\n272 22\n86 182\n87 45\n158 190\n117 281\n257 194\n292 155\n84 17\n79 178\n8 104\n102 214\n45 297\n29 49\n236 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223\n145 13\n201 132\n99 224\n142 124\n156 192\n2 200\n230 207\n175 234\n28 43\n168 221\n188 264\n193 274\n144 132\n9 246\n49 131\n114 93\n121 78\n193 192\n212 261\n225 137\n290 262\n171 204\n216 277\n250 188\n66 146\n21 119\n283 278\n202 251\n24 142\n156 284\n154 190\n241 227\n282 259\n243 7\n136 196\n279 244\n118 111\n180 289\n182 99\n285 11\n86 297\n57 245\n173 222\n21 13\n215 101\n0 69\n299 52\n284 276\n32 275\n136 56\n42 73\n81 87\n71 259\n124 221\n226 84\n6 269\n130 258\n10 141\n300 88\n144 142\n67 109\n238 217\n112 46\n13 66\n246 256\n64 96\n47 228\n132 95\n180 270\n84 215\n295 71\n47 95\n137 97\n64 273\n83 217\n269 282\n277 106\n239 215\n102 52\n40 162\n236 219\n11 203\n225 202\n157 54\n125 72\n211 201\n216 94\n220 274\n63 52\n294 260\n49 28\n271 178\n43 245\n247 81\n85 213\n291 69\n191 252\n168 186\n133 174\n24 270\n170 156\n79 278\n116 14\n56 204\n249 106\n8 84\n87 103\n263 45\n130 217\n221 69\n52 294\n156 218\n127 28\n299 138\n117 88\n252 152\n280 264\n98 206\n194 61\n234 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72\n89 21\n124 121\n77 161\n73 152\n47 121\n57 134\n248 39\n71 19\n275 24\n204 263\n73 243\n221 139\n221 125\n229 252\n100 23\n189 124\n119 117\n95 172\n288 138\n270 258\n97 174\n2 115\n139 113\n193 65\n11 290\n237 10\n80 162\n170 238\n215 167\n177 195\n76 42\n175 116\n178 8\n35 288\n237 112\n15 261\n175 159\n185 165\n29 157\n97 75\n215 287\n229 266\n162 101\n185 106\n212 294\n232 232\n49 86\n29 78\n175 185\n99 187\n180 97\n64 245\n215 228\n255 243\n26 100\n35 248\n121 155\n50 266\n286 227\n253 240\n150 293\n82 25\n13 210\n191 131\n192 170\n249 231\n130 47\n64 124\n271 268\n57 5\n143 138\n151 183\n126 125\n59 276\n190 102\n298 126\n242 268\n26 24\n300 237\n292 17\n141 196\n144 117\n297 213\n262 271\n77 71\n189 98\n34 2\n224 286\n96 216\n37 272\n212 0\n139 94\n153 283\n192 226\n115 241\n143 254\n219 263\n139 58\n27 230\n174 246\n187 209\n149 53\n43 148\n18 127\n69 262\n292 287\n229 157\n116 23\n227 140\n51 121\n274 214\n292 163\n111 255\n163 256\n152 172\n152 226\n283 242\n219 80\n134 211\n283 79\n148 4\n193 9\n24 49\n134 0\n141 46\n236 247\n280 55\n28 90\n60 184\n12 131\n224 89\n203 70\n24 127\n171 179\n195 260\n60 154\n206 218\n263 292\n270 287\n224 215\n64 76\n27 156\n57 267\n64 181\n69 64\n176 271\n222 104\n80 11\n123 81\n251 251\n112 26\n203 47\n46 47\n61 274\n76 40\n294 134\n108 79\n1 218\n30 35\n231 234\n110 35\n10 227\n65 137\n39 265\n243 178\n176 98\n250 184\n194 198\n194 298\n253 110\n115 205\n64 106\n294 104\n174 147\n57 182\n93 283\n284 224\n74 285\n24 225\n89 140\n106 252\n223 1\n273 20\n61 151\n289 296\n291 212\n187 175\n264 78\n22 243\n164 292\n187 171\n88 289\n275 292\n68 77\n265 272\n225 265\n24 84\n276 1\n2 163\n110 231\n6 74\n216 81\n153 28\n44 134\n296 41\n87 144\n96 9\n70 270\n18 87\n95 53\n298 117\n3 60\n146 1\n253 48\n274 271\n100 222\n195 255\n44 42\n299 50\n227 136\n216 65\n67 164\n150 78\n206 265\n23 122\n24 11\n124 19\n46 225\n40 270\n117 86\n151 155\n44 280\n206 287\n85 153\n229 159\n89 200\n55 146\n231 87\n283 99\n46 232\n154 43\n133 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229\n219 164\n248 14\n105 69\n288 141\n229 224\n190 229\n154 235\n90 65\n261 155\n15 206\n171 37\n162 76\n228 218\n191 222\n151 239\n170 183\n271 138\n54 136\n157 17\n62 12\n8 175\n157 56\n165 296\n174 2\n246 104\n191 70\n8 216\n41 127\n25 167\n108 90\n9 240\n21 105\n278 167\n97 45\n226 154\n68 232\n233 201\n94 151\n144 224\n135 296\n143 201\n160 139\n163 91\n234 69\n168 66\n134 214\n28 36\n142 30\n162 249\n218 229\n201 86\n239 71\n69 140\n47 129\n152 136\n239 260\n34 121\n257 16\n148 187\n118 71\n80 174\n85 2\n1 20\n213 28\n294 115\n16 4\n218 23\n7 134\n271 75\n105 119\n142 255\n222 262\n277 22\n219 220\n54 81\n52 2\n131 181\n260 241\n86 189\n39 138\n130 31\n56 76\n258 78\n119 61\n222 67\n251 28\n154 295\n154 199\n224 232\n57 224\n206 102\n208 209\n69 46\n200 163\n228 227\n266 126\n277 36\n158 12\n194 241\n279 11\n61 141\n123 148\n275 6\n50 263\n295 30\n27 286\n113 134\n218 177\n13 251\n116 72\n172 81\n155 81\n223 136\n44 215\n20 188\n273 21\n79 245\n30 57\n281 243\n114 174\n60 255\n202 205\n256 190\n143 80\n257 34\n294 243\n227 13\n94 289\n291 87\n26 138\n272 211\n147 252\n252 133\n181 125\n210 128\n233 48\n73 126\n125 98\n257 61\n102 229\n55 230\n23 12\n226 186\n190 32\n273 149\n297 52\n73 217\n135 153\n291 179\n197 182\n11 260\n76 45\n20 244\n293 245\n156 189\n44 110\n255 143\n16 41\n146 29\n71 12\n90 294\n120 3\n185 84\n135 190\n108 132\n217 98\n200 151\n185 259\n194 54\n30 23\n279 138\n239 78\n212 290\n71 167\n245 205\n7 172\n14 34\n72 99\n295 68\n180 219\n44 99\n35 285\n150 62\n288 223\n93 255\n253 236\n199 279\n27 2\n84 238\n5 150\n118 79\n58 115\n249 270\n24 267\n251 122\n218 297\n298 37\n2 197\n1 286\n6 239\n22 26\n44 268\n21 144\n219 110\n90 11\n108 245\n167 86\n90 9\n208 197\n111 170\n64 167\n73 93\n41 130\n246 181\n2 26\n294 108\n133 298\n201 109\n71 218\n108 91\n133 236\n77 292\n23 232\n188 186\n179 129\n224 169\n255 70\n129 123\n17 95\n143 29\n142 222\n219 107\n187 291\n172 233\n27 218\n231 43\n133 227\n84 263\n100 238\n104 54\n170 239\n245 290\n125 202\n127 228\n222 296\n40 47\n169 52\n45 290\n300 158\n88 100\n254 42\n195 206\n294 292\n192 68\n225 16\n205 61\n43 82\n190 153\n190 103\n194 133\n87 263\n276 2\n27 297\n138 166\n272 142\n193 165\n62 160\n187 130\n171 161\n261 223\n204 8\n82 124\n1 19\n284 140\n139 177\n7 97\n214 297\n193 45\n137 242\n225 190\n128 174\n84 99\n156 139\n268 88\n73 196\n215 208\n173 221\n204 92\n140 107\n146 11\n228 133\n147 79\n290 8\n300 74\n266 178\n109 57\n300 157\n263 73\n185 210\n99 120\n75 47\n70 163\n17 234\n199 218\n240 104\n126 174\n22 254\n138 210\n168 203\n206 273\n100 38\n247 1\n222 77\n249 275\n214 181\n243 287\n293 146\n120 36\n256 214\n71 155\n180 202\n81 247\n283 34\n103 134\n257 212\n169 102\n44 262\n169 43\n178 284\n75 63\n248 164\n144 46\n285 240\n221 75\n176 179\n93 160\n125 145\n188 170\n90 283\n197 83\n298 211\n293 276\n9 176\n214 89\n266 142\n119 41\n202 7\n108 64\n261 114\n252 73\n260 167\n148 275\n81 33\n162 49\n243 217\n66 107\n54 44\n246 208\n289 279\n298 147\n38 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31\n221 27\n117 60\n50 229\n161 119\n206 245\n221 283\n214 44\n182 242\n294 147\n144 49\n204 9\n284 215\n11 71\n54 300\n86 289\n50 177\n202 173\n120 272\n101 152\n22 96\n116 38\n185 137\n259 17\n157 27\n46 227\n148 259\n268 16\n53 46\n198 20\n283 90\n297 68\n207 127\n175 281\n102 39\n224 42\n207 0\n20 234\n140 96\n226 118\n60 112\n59 201\n220 45\n197 100\n41 119\n32 31\n132 11\n279 91\n207 15\n16 31\n96 226\n152 218\n180 39\n274 149\n79 89\n292 263\n29 36\n102 274\n29 202\n274 188\n178 287\n274 36\n154 90\n137 137\n186 135\n214 62\n51 181\n139 169\n102 178\n46 86\n282 19\n270 27\n71 70\n172 18\n245 232\n130 247\n231 292\n100 277\n133 111\n69 7\n16 65\n3 243\n86 83\n202 206\n212 228\n285 267\n105 1\n151 222\n172 101\n100 171\n187 268\n268 206\n258 207\n180 178\n230 76\n102 180\n188 86\n225 38\n158 147\n60 266\n221 188\n235 46\n224 255\n260 160\n123 252\n40 167\n240 92\n285 79\n55 72\n45 247\n74 197\n39 238\n32 24\n236 291\n298 168\n259 168\n230 104\n34 87\n72 247\n112 20\n53 242\n214 251\n158 82\n70 233\n115 159\n26 220\n24 113\n57 150\n206 149\n138 118\n71 289\n148 55\n82 277\n266 154\n279 252\n128 217\n104 298\n289 100\n0 184\n252 102\n175 78\n212 216\n12 246\n6 204\n86 139\n37 72\n74 113\n71 258\n76 17\n217 203\n250 248\n10 83\n80 26\n148 5\n191 11\n69 136\n124 183\n182 236\n66 30\n202 256\n286 73\n101 46\n125 168\n22 210\n237 231\n287 249\n60 233\n135 234\n274 265\n257 42\n120 269\n139 246\n110 205\n49 149\n210 271\n80 198\n109 96\n80 69\n137 216\n90 197\n199 39\n66 169\n149 132\n239 75\n1 296\n0 272\n74 298\n58 149\n287 160\n250 282\n135 107\n208 125\n158 269\n255 43\n268 52\n56 46\n59 162\n253 143\n189 50\n79 281\n60 298\n254 17\n27 91\n50 123\n222 227\n40 74\n41 167\n118 89\n112 70\n16 225\n233 215\n193 131\n238 221\n237 9\n298 171\n203 120\n94 273\n293 24\n4 159\n206 83\n53 259\n38 4\n140 49\n295 213\n36 239\n214 94\n26 209\n51 113\n147 288\n258 269\n252 277\n229 136\n93 165\n20 230\n186 209\n60 64\n216 182\n133 214\n54 221\n192 219\n188 166\n6 42\n211 128\n139 146\n167 68\n154 131\n14 2\n145 52\n209 106\n279 150\n253 92\n217 223\n10 285\n136 32\n222 198\n65 37\n264 193\n96 131\n131 267\n172 66\n145 251\n45 213\n227 234\n196 189\n73 50\n266 50\n17 109\n3 275\n174 261\n123 11\n179 84\n286 225\n211 87\n295 105\n35 28\n83 102\n90 214\n214 5\n111 11\n113 252\n264 257\n205 243\n153 66\n11 53\n94 142\n39 39\n32 244\n169 1\n140 127\n266 84\n141 288\n5 26\n237 176\n275 95\n239 229\n85 170\n59 21\n216 85\n60 30\n172 76\n97 158\n34 113\n222 51\n195 105\n9 197\n109 200\n204 219\n215 242\n200 186\n177 231\n227 29\n241 282\n203 23\n29 262\n163 121\n245 268\n194 256\n193 2\n200 227\n82 57\n6 265\n96 244\n72 230\n143 185\n246 215\n235 291\n126 14\n299 78\n103 234\n167 169\n35 49\n171 144\n220 23\n285 165\n264 34\n124 264\n86 68\n87 44\n238 76\n109 7\n6 102\n140 99\n173 167\n252 25\n158 217\n46 114\n251 11\n269 2\n213 233\n15 222\n196 277\n273 214\n290 26\n61 297\n246 192\n213 298\n208 27\n182 148\n143 103\n209 174\n238 22\n102 296\n210 43\n128 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201\n146 67\n11 232\n125 223\n73 117\n2 167\n125 149\n201 295\n267 232\n170 148\n196 80\n223 156\n103 9\n91 44\n4 297\n173 179\n193 298\n36 114\n272 157\n270 300\n40 217\n30 123\n172 35\n69 185\n43 53\n143 284\n67 102\n161 58\n68 226\n101 144\n105 291\n16 150\n291 40\n186 125\n154 67\n299 180\n36 251\n202 26\n293 38\n294 23\n221 66\n281 43\n288 268\n2 274\n87 72\n290 284\n223 184\n299 161\n248 103\n245 113\n186 126\n261 205\n218 162\n26 41\n183 281\n126 62\n51 272\n239 134\n284 159\n101 22\n15 296\n201 188\n140 3\n297 43\n295 292\n6 248\n6 64\n189 262\n66 98\n140 193\n94 64\n152 189\n35 133\n159 300\n163 297\n209 46\n222 91\n32 192\n94 214\n160 231\n87 75\n198 215\n59 239\n243 219\n219 276\n206 54\n158 98\n280 82\n93 102\n189 217\n94 98\n168 285\n141 140\n219 232\n278 164\n234 133\n24 15\n159 25\n56 244\n230 95\n223 177\n56 193\n273 219\n265 180\n59 142\n160 108\n62 231\n198 46\n246 262\n42 88\n231 4\n181 130\n71 7\n272 259\n24 128\n261 200\n34 106\n270 37\n68 175\n190 115\n175 253\n171 224\n68 100\n91 36\n24 136\n43 151\n108 15\n153 113\n153 15\n30 143\n169 211\n258 283\n54 29\n109 79\n120 80\n278 22\n2 113\n95 289\n201 32\n56 277\n92 283\n10 263\n120 110\n236 139\n195 122\n48 141\n251 192\n153 129\n280 17\n45 70\n184 243\n205 63\n246 105\n142 1\n95 242\n197 138\n271 285\n245 44\n83 26\n107 257\n292 71\n59 151\n269 253\n70 38\n228 50\n114 18\n210 28\n293 140\n220 271\n245 217\n29 267\n206 194\n260 148\n199 67\n50 20\n273 111\n77 98\n54 59\n1 136\n116 157\n220 177\n40 206\n6 207\n31 283\n142 208\n67 12\n185 204\n64 196\n239 137\n118 123\n140 90\n293 121\n175 207\n136 139\n4 76\n124 147\n163 15\n200 98\n139 192\n109 169\n213 80\n44 28\n2 282\n261 202\n300 177\n179 140\n56 146\n22 165\n276 103\n259 176\n299 73\n189 157\n240 6\n146 243\n292 179\n93 291\n40 208\n269 59\n91 211\n26 228\n148 147\n231 38\n99 170\n70 155\n254 70\n258 276\n153 236\n271 13\n118 225\n207 78\n187 35\n55 290\n52 128\n159 238\n11 76\n96 232\n140 45\n172 247\n193 95\n286 55\n24 45\n138 150\n142 73\n227 97\n254 147\n274 189\n60 244\n102 202\n40 222\n50 275\n157 281\n160 5\n15 191\n80 150\n279 131\n145 41\n109 16\n24 121\n7 226\n54 222\n276 98\n117 22\n11 77\n13 44\n113 37\n209 122\n268 17\n155 206\n75 254\n52 20\n201 263\n265 108\n20 252\n157 26\n50 43\n153 13\n2 88\n236 43\n130 56\n158 226\n119 82\n208 65\n219 291\n164 128\n197 13\n71 248\n298 215\n268 73\n183 154\n79 248\n271 103\n3 33\n249 290\n94 54\n74 21\n142 167\n78 196\n163 35\n262 155\n290 130\n139 60\n184 121\n56 251\n100 286\n97 121\n0 8\n190 79\n126 143\n60 263\n50 286\n214 4\n5 220\n207 100\n128 224\n34 0\n247 126\n105 245\n209 247\n285 259\n227 228\n20 32\n163 51\n228 49\n116 182\n33 115\n222 156\n256 120\n269 266\n106 119\n39 100\n77 54\n42 186\n239 53\n105 21\n46 235\n55 55\n145 300\n210 66\n40 127\n51 149\n146 58\n157 163\n53 266\n241 96\n143 195\n89 70\n217 181\n19 5\n282 107\n30 34\n149 153\n204 168\n283 177\n165 217\n13 74\n268 113\n270 272\n280 211\n196 211\n208 192\n136 230\n139 70\n5 121\n86 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60\n236 287\n241 5\n226 247\n296 225\n188 114\n173 88\n238 6\n297 186\n92 269\n64 120\n90 114\n68 182\n101 190\n103 113\n256 109\n254 204\n174 260\n44 18\n69 31\n153 209\n190 155\n12 100\n260 101\n35 280\n21 38\n154 115\n202 78\n44 190\n69 35\n9 99\n254 291\n217 186\n35 43\n289 46\n93 156\n276 133\n115 56\n288 198\n235 214\n178 11\n116 242\n296 23\n125 12\n173 109\n220 257\n32 278\n251 253\n173 47\n263 29\n248 151\n40 195\n82 250\n244 52\n256 5\n237 293\n237 269\n273 290\n221 108\n261 36\n49 35\n45 60\n244 73\n113 69\n95 294\n142 239\n109 48\n48 238\n97 197\n160 107\n21 296\n94 256\n101 82\n202 147\n156 53\n249 99\n3 94\n36 272\n232 179\n129 149\n246 151\n152 255\n9 225\n272 204\n221 114\n263 143\n129 251\n176 230\n296 40\n269 18\n49 245\n270 289\n65 20\n103 233\n101 282\n110 273\n239 277\n53 18\n260 78\n270 263\n10 192\n255 154\n113 33\n60 9\n238 146\n161 177\n171 256\n69 186\n2 245\n283 296\n84 159\n257 8\n175 290\n64 52\n36 113\n146 18\n293 279\n264 203\n144 85\n277 238\n32 41\n139 207\n217 273\n79 290\n79 188\n262 61\n137 291\n37 177\n136 271\n24 182\n271 296\n248 7\n115 234\n107 255\n188 209\n71 202\n254 164\n235 218\n151 167\n129 214\n241 125\n175 160\n216 13\n245 239\n129 141\n268 147\n80 80\n224 246\n203 84\n244 121\n122 144\n173 154\n174 130\n152 42\n95 257\n214 167\n8 63\n107 234\n195 198\n17 86\n155 85\n31 292\n162 59\n289 49\n177 21\n59 77\n244 111\n97 37\n230 262\n156 80\n296 142\n193 117\n250 202\n4 41\n230 288\n58 53\n186 246\n101 273\n296 87\n234 71\n136 106\n100 125\n226 222\n139 81\n134 177\n135 54\n13 209\n244 135\n258 227\n105 259\n169 175\n281 167\n112 289\n81 110\n176 243\n210 129\n146 41\n171 153\n281 228\n52 196\n129 198\n74 40\n223 283\n253 8\n70 58\n187 134\n206 130\n147 157\n219 69\n139 239\n148 29\n167 15\n189 111\n262 8\n120 290\n69 244\n183 286\n25 220\n65 36\n221 80\n151 48\n254 148\n19 188\n191 67\n127 91\n46 193\n40 273\n160 67\n257 249\n248 229\n184 178\n128 292\n42 211\n97 111\n43 161\n114 59\n77 171\n283 127\n279 37\n272 165\n104 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20\n180 47\n216 0\n289 65\n45 120\n155 111\n169 265\n242 100\n61 229\n249 86\n141 170\n111 87\n284 9\n26 280\n10 23\n90 227\n83 94\n290 295\n143 188\n205 121\n67 163\n106 89\n215 16\n187 118\n237 55\n192 256\n74 52\n268 252\n117 45\n123 119\n221 268\n228 241\n138 257\n288 86\n167 34\n60 228\n173 113\n194 269\n285 138\n81 72\n296 144\n113 212\n51 20\n225 177\n30 241\n283 181\n293 247\n200 222\n229 166\n260 177\n274 256\n226 244\n55 5\n79 151\n25 254\n140 134\n80 54\n4 5\n175 161\n262 126\n245 72\n184 31\n102 6\n83 294\n23 66\n151 195\n68 169\n270 144\n235 19\n234 251\n173 20\n15 100\n54 19\n233 14\n99 196\n263 198\n123 220\n171 281\n81 163\n210 253\n211 180\n253 94\n221 40\n77 181\n92 85\n229 114\n232 98\n0 203\n120 241\n86 140\n17 291\n271 59\n118 36\n246 196\n299 287\n67 217\n33 272\n274 78\n53 289\n161 137\n43 75\n89 72\n264 285\n134 199\n186 172\n277 181\n179 193\n265 263\n31 49\n272 188\n96 167\n188 76\n144 8\n74 79\n97 83\n239 107\n180 169\n63 231\n227 4\n243 145\n271 79\n129 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92\n144 188\n0 158\n92 15\n141 72\n31 239\n263 154\n109 281\n68 97\n180 46\n282 192\n79 214\n201 96\n79 32\n87 61\n97 24\n95 48\n287 228\n59 196\n89 210\n23 123\n151 121\n76 90\n246 164\n280 156\n81 25\n64 26\n62 126\n129 209\n124 234\n167 248\n138 179\n166 234\n165 167\n120 169\n101 225\n226 164\n87 54\n161 105\n299 244\n192 95\n53 206\n267 64\n244 95\n170 260\n138 283\n212 177\n275 290\n235 41\n184 6\n62 282\n266 56\n52 165\n228 130\n276 223\n174 115\n56 44\n56 9\n211 47\n160 1\n136 95\n73 41\n102 116\n86 202\n167 259\n140 166\n129 26\n180 9\n238 290\n275 233\n263 6\n288 35\n139 22\n177 108\n273 258\n254 277\n166 263\n21 70\n187 70\n39 58\n202 180\n279 224\n207 42\n272 256\n143 268\n40 158\n242 73\n239 142\n289 130\n93 39\n214 134\n290 119\n275 216\n49 16\n258 203\n32 167\n137 16\n114 54\n300 187\n216 176\n154 3\n252 136\n214 198\n172 125\n247 208\n79 20\n232 212\n20 103\n296 129\n162 35\n168 61\n242 85\n249 266\n41 165\n126 291\n196 55\n124 105\n136 24\n127 257\n6 51\n108 224\n104 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58\n96 191\n111 52\n283 176\n156 274\n276 58\n95 127\n131 47\n108 215\n75 297\n274 292\n278 200\n285 222\n16 191\n37 40\n60 172\n60 55\n0 11\n126 6\n17 40\n224 79\n248 88\n94 37\n219 119\n31 282\n260 232\n116 198\n127 15\n243 262\n84 171\n280 204\n245 66\n128 203\n25 66\n85 79\n80 127\n98 294\n210 243\n268 291\n75 163\n294 32\n155 72\n297 241\n147 219\n286 173\n297 299\n141 270\n176 268\n259 144\n124 53\n232 231\n249 118\n187 40\n29 123\n119 141\n94 81\n46 248\n188 161\n33 7\n111 22\n82 135\n116 210\n48 0\n298 55\n96 151\n277 71\n290 194\n227 245\n286 224\n14 265\n173 92\n135 242\n233 251\n151 145\n90 80\n183 86\n242 124\n118 84\n94 154\n20 126\n105 0\n198 150\n210 202\n81 219\n4 135\n295 142\n33 259\n201 126\n123 34\n170 72\n188 28\n113 190\n197 11\n17 17\n16 11\n194 111\n291 137\n268 261\n33 17\n133 186\n127 200\n24 261\n216 226\n187 282\n161 195\n160 153\n51 139\n75 252\n134 52\n218 193\n159 276\n271 45\n174 151\n156 187\n0 10\n15 103\n166 55\n238 87\n233 129\n175 98\n174 150\n5 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132\n112 196\n25 281\n295 145\n242 173\n179 41\n247 295\n110 105\n72 295\n183 190\n49 217\n146 33\n272 61\n215 162\n214 283\n100 117\n206 248\n155 27\n108 163\n55 47\n284 228\n26 158\n116 120\n146 188\n42 271\n86 169\n191 116\n9 46\n176 238\n89 147\n21 273\n136 88\n300 266\n84 1\n50 240\n145 46\n195 163\n90 94\n297 63\n255 125\n57 146\n24 236\n136 187\n137 279\n166 71\n142 244\n282 217\n247 297\n275 4\n169 300\n121 4\n134 137\n156 170\n254 272\n214 149\n202 272\n194 10\n273 168\n192 32\n147 135\n168 225\n203 296\n66 227\n233 45\n132 110\n295 134\n121 85\n202 291\n83 123\n49 102\n184 139\n11 136\n157 198\n103 177\n293 257\n150 246\n76 86\n191 50\n213 98\n195 215\n122 147\n130 58\n38 168\n248 182\n120 96\n223 161\n292 50\n126 35\n272 50\n163 229\n59 79\n23 136\n8 287\n119 283\n173 35\n105 232\n44 240\n144 214\n285 195\n266 132\n252 238\n274 153\n239 13\n286 28\n2 9\n233 165\n188 210\n166 126\n227 193\n237 33\n284 94\n249 97\n293 225\n163 86\n39 281\n140 181\n34 163\n39 62\n297 57\n221 50\n66 194\n174 138\n43 51\n109 39\n226 22\n199 197\n118 248\n68 204\n238 20\n116 112\n106 224\n290 210\n250 166\n124 272\n245 78\n289 124\n7 16\n83 48\n274 118\n30 126\n180 123\n277 234\n164 62\n145 135\n185 132\n116 99\n36 69\n114 11\n191 86\n147 231\n167 197\n151 275\n192 96\n168 154\n3 169\n286 292\n265 117\n32 32\n298 18\n93 216\n12 82\n196 18\n265 288\n160 192\n25 14\n173 164\n12 137\n47 79\n158 200\n101 255\n255 152\n38 143\n85 68\n181 99\n147 260\n252 268\n204 248\n126 228\n186 255\n169 214\n106 123\n16 20\n85 33\n104 270\n208 80\n55 101\n213 177\n99 191\n135 290\n151 12\n136 36\n179 288\n61 275\n255 232\n72 63\n188 64\n191 101\n204 215\n261 63\n246 67\n245 91\n2 67\n127 54\n238 104\n214 72\n280 111\n254 31\n169 192\n198 281\n156 267\n144 127\n257 289\n228 47\n173 243\n24 222\n73 127\n125 55\n11 287\n3 242\n237 155\n133 215\n105 223\n139 2\n74 130\n285 88\n150 255\n149 55\n158 62\n92 53\n255 112\n12 297\n104 120\n27 207\n259 166\n1 291\n173 69\n59 257\n292 10\n18 182\n136 31\n248 154\n292 224\n115 208\n117 270\n273 106\n147 276\n40 186\n219 173\n101 258\n78 86\n76 222\n28 274\n76 46\n298 219\n47 292\n287 29\n268 166\n35 137\n45 291\n8 130\n272 224\n158 53\n71 25\n62 45\n79 227\n114 267\n220 212\n199 106\n157 296\n102 289\n197 169\n28 74\n31 181\n273 118\n181 235\n108 135\n213 51\n25 24\n11 145\n176 66\n270 57\n164 163\n116 274\n223 148\n43 76\n120 137\n277 177\n227 33\n180 10\n2 149\n177 0\n250 73\n257 118\n61 94\n45 170\n203 93\n201 154\n126 259\n147 44\n100 21\n150 30\n168 168\n61 173\n13 277\n266 109\n133 47\n239 100\n290 101\n56 106\n149 290\n88 72\n157 28\n159 49\n193 246\n29 281\n294 203\n106 29\n44 153\n283 221\n19 263\n184 188\n85 115\n53 186\n71 217\n72 72\n128 286\n278 34\n136 185\n79 226\n275 46\n103 152\n81 273\n260 170\n204 53\n9 196\n109 188\n68 68\n276 183\n142 61\n50 241\n47 198\n224 223\n86 160\n299 85\n274 104\n63 31\n272 283\n236 162\n261 292\n68 215\n203 125\n83 76\n145 220\n281 60\n131 60\n186 64\n94 7\n259 169\n46 175\n91 79\n297 258\n212 48\n233 25\n131 192\n147 17\n15 232\n148 106\n66 218\n257 57\n282 160\n203 190\n42 152\n238 88\n250 189\n288 41\n67 120\n81 229\n190 118\n92 132\n177 44\n14 176\n38 66\n225 185\n265 95\n289 90\n86 61\n44 217\n258 82\n137 234\n128 115\n242 84\n3 172\n212 34\n283 283\n80 233\n73 224\n250 55\n57 65\n218 154\n118 12\n266 189\n88 206\n44 182\n235 66\n267 32\n102 25\n288 264\n23 74\n18 207\n138 54\n111 27\n225 48\n254 268\n268 12\n66 80\n29 223\n158 282\n158 54\n121 116\n242 247\n128 72\n1 147\n7 124\n1 73\n76 280\n107 113\n152 280\n156 17\n233 84\n78 234\n153 215\n259 135\n289 289\n1 191\n89 158\n296 188\n125 92\n237 7\n279 47\n210 84\n282 233\n139 137\n111 103\n207 188\n191 207\n106 76\n17 141\n42 254\n217 280\n81 237\n262 229\n73 134\n221 81\n257 163\n224 59\n206 178\n215 191\n210 70\n219 159\n61 214\n188 171\n150 86\n222 173\n244 61\n58 190\n181 232\n289 37\n111 194\n263 202\n277 185\n289 273\n283 135\n191 168\n160 118\n218 234\n71 231\n94 258\n6 14\n48 280\n53 287\n17 133\n22 106\n13 3\n284 255\n267 79\n253 218\n248 242\n223 18\n65 154\n193 195\n270 166\n47 202\n286 90\n135 265\n62 197\n97 261\n50 0\n132 113\n18 224\n210 65\n63 19\n64 279\n298 6\n28 263\n254 197\n193 17\n212 18\n130 76\n220 109\n96 79\n277 197\n264 14\n188 255\n275 172\n35 80\n69 22\n103 125\n246 163\n216 196\n80 245\n141 51\n1 21\n238 285\n25 230\n293 50\n59 265\n84 97\n135 286\n258 180\n139 51\n227 225\n270 147\n180 149\n157 112\n142 233\n22 300\n64 4\n43 133\n53 93\n297 62\n50 296\n72 147\n180 101\n66 33\n216 170\n175 83\n119 203\n148 104\n107 71\n18 6\n190 240\n233 76\n77 169\n1 1\n44 194\n283 83\n90 29\n249 243\n262 234\n209 104\n193 135\n96 197\n104 286\n191 62\n271 61\n99 195\n14 290\n178 269\n285 41\n101 289\n259 262\n27 284\n238 105\n94 232\n203 232\n9 255\n53 96\n39 129\n52 118\n4 127\n148 251\n126 198\n266 124\n4 224\n42 261\n177 275\n191 284\n95 201\n1 260\n75 134\n237 273\n148 167\n188 162\n276 156\n287 79\n253 215\n12 121\n54 53\n271 286\n25 32\n272 234\n288 199\n293 205\n249 294\n98 67\n182 90\n263 9\n288 178\n265 27\n113 101\n261 121\n51 185\n122 139\n247 254\n168 133\n260 250\n289 158\n223 85\n97 179\n100 37\n293 168\n192 186\n291 125\n159 159\n93 180\n272 124\n108 249\n183 274\n200 153\n205 24\n129 65\n251 135\n164 105\n107 90\n177 17\n67 226\n70 283\n149 204\n19 28\n73 251\n42 142\n98 82\n258 89\n204 247\n88 71\n70 32\n279 20\n113 210\n182 252\n247 236\n195 168\n164 260\n296 24\n210 194\n299 123\n263 141\n227 283\n90 185\n186 176\n8 56\n47 213\n56 65\n86 245\n210 139\n259 172\n0 195\n229 291\n185 195\n63 105\n72 46\n122 230\n14 183\n4 36\n12 62\n131 209\n272 186\n191 283\n158 141\n204 147\n267 288\n162 265\n209 272\n128 12\n186 187\n13 80\n163 65\n81 226\n45 177\n140 39\n259 281\n140 106\n5 53\n14 191\n91 160\n275 79\n200 258\n102 251\n264 92\n241 178\n109 113\n31 77\n92 25\n155 51\n2 140\n300 86\n128 209\n182 177\n40 145\n251 151\n234 205\n89 112\n69 279\n54 62\n172 205\n258 236\n49 92\n26 271\n87 161\n224 173\n274 273\n140 34\n207 269\n31 275\n162 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98\n246 131\n208 17\n93 124\n62 234\n67 138\n48 271\n72 157\n107 23\n19 32\n292 174\n267 259\n45 138\n137 290\n89 76\n20 67\n161 85\n145 43\n175 244\n224 253\n171 28\n45 109\n84 196\n132 15\n2 218\n230 74\n161 242\n271 63\n119 0\n205 14\n141 89\n209 68\n192 254\n35 116\n84 178\n70 56\n109 176\n115 79\n17 297\n35 86\n12 283\n230 237\n140 200\n20 282\n295 84\n172 25\n200 209\n119 169\n172 57\n267 181\n23 221\n166 235\n201 250\n180 6\n56 29\n145 119\n123 120\n133 250\n126 81\n11 5\n296 85\n187 69\n37 297\n53 298\n229 207\n252 206\n184 46\n17 161\n96 13\n228 236\n55 222\n103 202\n224 16\n241 67\n186 39\n142 37\n297 17\n91 54\n228 39\n164 141\n249 276\n297 210\n229 100\n65 189\n207 135\n40 251\n87 95\n54 184\n167 191\n147 168\n39 253\n60 144\n128 121\n183 180\n256 213\n211 91\n202 202\n11 263\n230 186\n148 32\n95 38\n69 118\n194 233\n187 53\n177 87\n242 76\n241 163\n194 75\n32 204\n294 35\n194 126\n165 225\n17 127\n74 249\n200 279\n157 256\n141 12\n168 18\n133 234\n101 153\n223 80\n254 194\n88 110\n158 158\n44 72\n87 148\n100 249\n16 283\n33 138\n86 40\n166 175\n46 18\n63 202\n278 45\n253 27\n51 90\n92 48\n245 181\n18 135\n48 154\n265 281\n86 118\n162 115\n150 125\n74 20\n264 293\n276 243\n159 205\n117 46\n120 176\n7 188\n59 121\n148 168\n160 226\n185 69\n93 5\n141 180\n88 255\n157 74\n159 144\n221 57\n253 207\n295 161\n242 25\n106 247\n263 71\n221 230\n266 159\n126 100\n19 161\n23 49\n2 213\n244 36\n143 244\n154 138\n139 40\n220 107\n11 9\n276 137\n247 6\n213 77\n104 193\n276 149\n117 17\n24 233\n250 109\n144 89\n161 121\n56 293\n132 44\n40 63\n161 158\n233 41\n15 224\n179 210\n148 92\n259 15\n30 289\n135 278\n247 84\n48 172\n197 128\n164 146\n282 24\n242 155\n285 84\n82 82\n289 96\n211 85\n90 178\n59 299\n59 178\n10 115\n12 282\n262 43\n56 122\n82 291\n235 47\n232 71\n19 269\n174 295\n213 139\n250 95\n246 62\n267 286\n179 95\n205 247\n230 227\n199 76\n262 215\n280 24\n10 226\n156 100\n46 287\n69 160\n58 79\n200 248\n35 290\n39 287\n139 257\n132 257\n138 160\n236 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88\n57 60\n286 13\n89 51\n11 55\n133 260\n262 295\n67 203\n124 3\n3 296\n33 123\n293 37\n279 14\n243 173\n286 218\n174 264\n176 228\n228 52\n290 293\n95 278\n85 110\n285 141\n84 260\n234 131\n102 212\n159 34\n262 263\n72 21\n69 269\n92 214\n90 192\n100 247\n166 137\n135 201\n99 60\n288 276\n67 266\n259 206\n46 189\n69 156\n253 296\n37 28\n2 156\n82 287\n232 239\n42 156\n217 37\n186 284\n223 289\n36 249\n12 24\n202 267\n23 103\n3 150\n224 224\n184 254\n0 165\n166 272\n51 299\n234 132\n225 215\n291 132\n176 126\n273 277\n230 100\n271 83\n74 180\n48 165\n206 136\n21 246\n240 59\n7 11\n112 203\n271 34\n125 177\n211 117\n299 189\n23 152\n236 276\n212 174\n166 113\n297 184\n132 258\n70 21\n124 222\n206 275\n105 32\n145 183\n273 256\n200 61\n34 1\n260 128\n209 93\n260 5\n72 194\n122 296\n235 233\n258 204\n1 69\n134 91\n8 53\n225 282\n59 152\n213 260\n169 57\n60 212\n155 160\n184 51\n28 17\n79 1\n271 191\n267 189\n175 300\n163 37\n36 282\n43 235\n109 81\n185 236\n274 4\n227 181\n184 177\n291 23\n80 72\n146 290\n246 186\n91 11\n221 60\n290 33\n63 192\n217 39\n54 271\n61 148\n253 75\n146 252\n152 181\n85 59\n10 258\n231 195\n99 242\n14 289\n202 294\n276 69\n172 175\n89 229\n106 109\n193 91\n295 294\n193 282\n86 292\n108 156\n191 171\n242 90\n177 208\n280 43\n292 222\n21 8\n168 287\n94 291\n138 214\n279 63\n287 109\n34 223\n50 153\n59 277\n127 139\n160 72\n57 271\n143 89\n147 251\n299 20\n173 203\n158 165\n151 14\n202 62\n53 15\n94 40\n117 100\n194 9\n170 166\n177 29\n120 89\n239 270\n14 244\n274 26\n49 14\n296 276\n34 266\n244 112\n214 45\n104 15\n80 139\n47 14\n17 65\n115 37\n251 15\n27 27\n91 256\n155 34\n135 183\n66 67\n29 161\n156 178\n39 97\n271 277\n99 72\n282 28\n183 219\n126 154\n10 300\n15 57\n116 270\n184 223\n249 1\n238 125\n243 160\n73 137\n32 65\n186 208\n137 172\n198 245\n175 276\n27 192\n294 163\n3 23\n158 193\n147 64\n57 62\n138 294\n99 249\n130 204\n46 230\n126 188\n68 117\n135 218\n38 236\n291 140\n210 20\n62 298\n34 16\n86 20\n29 97\n120 199\n161 11\n27 5\n142 20\n54 286\n48 173\n156 204\n230 18\n47 36\n121 221\n140 4\n260 186\n54 171\n198 286\n43 99\n155 299\n113 182\n266 38\n211 212\n50 39\n149 160\n179 18\n132 128\n120 49\n297 95\n182 130\n268 127\n248 75\n213 174\n269 33\n208 18\n194 222\n194 34\n44 145\n12 181\n16 38\n143 221\n183 200\n52 258\n150 300\n293 206\n247 30\n215 136\n119 48\n152 47\n250 175\n195 137\n116 9\n134 266\n240 120\n194 121\n167 190\n220 4\n103 40\n107 41\n152 277\n225 35\n165 123\n194 187\n200 203\n224 131\n24 143\n128 258\n265 181\n178 72\n87 25\n281 11\n281 269\n30 109\n51 77\n296 286\n120 291\n201 181\n78 226\n133 257\n212 87\n281 68\n193 110\n141 273\n39 6\n162 194\n220 97\n85 93\n168 260\n180 294\n68 96\n26 177\n75 179\n126 177\n1 150\n172 168\n279 64\n77 233\n282 278\n17 253\n173 64\n180 281\n256 180\n128 158\n237 74\n82 137\n25 56\n236 197\n204 188\n223 261\n5 7\n254 168\n46 280\n204 242\n161 219\n205 129\n269 145\n20 200\n68 34\n157 292\n1 245\n244 120\n185 276\n49 8\n168 22\n163 294\n95 252\n217 205\n151 137\n13 140\n246 152\n251 199\n191 295\n191 55\n224 203\n285 46\n30 81\n206 256\n209 42\n249 25\n32 214\n292 1\n227 52\n260 213\n290 153\n272 108\n192 14\n232 197\n283 41\n122 110\n251 213\n227 75\n249 107\n115 195\n35 32\n58 233\n276 126\n52 211\n57 237\n179 10\n73 24\n160 254\n23 127\n57 53\n59 185\n239 105\n67 196\n86 233\n299 295\n48 62\n88 137\n256 24\n117 192\n288 64\n257 196\n103 127\n182 237\n121 36\n187 241\n168 129\n155 87\n110 182\n143 234\n289 104\n81 159\n165 183\n20 232\n76 207\n48 140\n223 66\n208 64\n33 127\n298 274\n96 3\n278 265\n94 22\n227 74\n146 100\n272 21\n279 146\n205 210\n186 40\n253 158\n90 73\n199 276\n209 259\n70 284\n178 225\n130 4\n277 288\n46 260\n23 35\n249 197\n281 186\n170 59\n189 1\n5 269\n241 217\n249 30\n69 120\n234 21\n14 286\n286 19\n124 123\n220 266\n280 179\n298 287\n159 194\n159 218\n46 67\n24 7\n117 207\n136 33\n158 201\n247 251\n31 174\n202 249\n105 290\n109 4\n232 95\n171 186\n220 122\n69 243\n19 281\n248 11\n67 123\n122 209\n39 233\n127 74\n112 19\n74 232\n9 94\n260 155\n115 134\n8 16\n261 243\n179 276\n64 118\n189 59\n172 197\n121 263\n113 254\n102 76\n123 54\n93 300\n113 263\n96 52\n230 283\n250 261\n253 111\n245 291\n180 241\n4 162\n92 71\n128 154\n42 133\n74 258\n209 184\n162 125\n88 43\n240 32\n237 88\n271 232\n283 290\n297 44\n257 258\n96 188\n50 68\n165 214\n140 65\n106 271\n194 209\n69 202\n105 118\n84 150\n208 32\n197 174\n67 259\n176 144\n229 140\n17 278\n132 4\n123 51\n297 293\n157 124\n85 274\n276 151\n20 133\n85 83\n260 136\n289 230\n31 140\n74 14\n93 54\n222 237\n136 111\n18 225\n251 7\n288 4\n293 28\n121 25\n150 96\n129 21\n286 115\n212 67\n212 81\n253 173\n172 269\n132 224\n163 161\n64 212\n177 267\n121 203\n159 277\n125 118\n24 124\n201 211\n172 139\n81 244\n292 43\n284 230\n38 5\n98 95\n120 6\n230 1\n112 31\n88 106\n185 77\n82 158\n123 136\n280 115\n231 245\n75 91\n110 263\n76 137\n273 49\n191 24\n164 295\n178 132\n176 248\n49 285\n281 90\n182 171\n24 122\n34 246\n269 217\n155 192\n225 284\n292 66\n4 108\n1 201\n286 149\n257 149\n249 221\n29 135\n253 132\n15 298\n46 33\n215 153\n7 264\n142 33\n216 223\n134 123\n158 198\n98 58\n248 163\n271 18\n214 12\n124 225\n16 238\n144 272\n212 22\n82 194\n42 9\n178 18\n7 73\n140 128\n39 127\n223 110\n66 13\n111 209\n24 207\n189 67\n174 85\n278 175\n185 295\n266 288\n130 267\n244 295\n110 36\n267 94\n7 202\n268 158\n222 76\n143 182\n155 96\n3 216\n292 58\n236 240\n282 172\n240 225\n153 177\n110 97\n94 183\n216 291\n260 261\n83 207\n62 50\n42 149\n158 107\n198 176\n126 110\n44 103\n259 300\n25 40\n153 123\n76 74\n92 75\n58 275\n105 111\n185 188\n48 211\n265 173\n225 152\n56 220\n91 233\n240 265\n287 246\n38 24\n300 198\n20 121\n273 198\n226 285\n14 211\n262 114\n13 35\n8 51\n4 44\n182 229\n125 282\n211 125\n225 258\n186 276\n227 110\n252 199\n159 39\n35 213\n179 127\n176 206\n53 167\n24 59\n249 21\n211 250\n169 3\n97 19\n249 126\n114 194\n285 151\n242 71\n143 148\n78 92\n121 0\n21 205\n80 146\n76 238\n47 268\n172 26\n14 273\n70 207\n171 293\n105 262\n133 208\n258 76\n116 67\n6 82\n118 57\n202 214\n59 31\n287 230\n106 55\n175 72\n208 37\n34 189\n23 263\n76 296\n0 104\n169 183\n156 261\n96 114\n64 268\n231 79\n65 94\n15 139\n147 175\n14 297\n93 97\n13 219\n159 198\n82 56\n76 153\n289 202\n288 33\n188 6\n116 259\n124 130\n113 145\n187 165\n175 77\n258 146\n134 44\n284 170\n117 181\n272 139\n252 173\n206 281\n233 137\n276 131\n292 172\n181 169\n255 249\n286 162\n90 229\n263 299\n140 86\n203 268\n200 17\n36 187\n31 81\n140 30\n196 248\n268 189\n62 240\n34 89\n70 3\n89 39\n129 5\n188 96\n50 195\n172 290\n299 5\n139 86\n115 274\n28 133\n118 49\n7 55\n283 169\n118 20\n252 140\n46 17\n211 148\n110 153\n161 292\n186 202\n179 106\n271 276\n84 165\n2 90\n144 173\n227 91\n186 259\n251 58\n28 107\n99 25\n250 169\n189 128\n241 203\n175 231\n37 73\n280 131\n160 14\n36 298\n23 290\n212 239\n125 38\n66 110\n294 27\n76 199\n52 271\n110 170\n120 189\n26 34\n158 55\n119 13\n118 269\n95 197\n53 267\n39 269\n195 41\n186 30\n138 17\n65 65\n67 88\n239 300\n132 53\n191 217\n250 263\n295 69\n86 104\n133 271\n64 263\n217 130\n68 88\n224 182\n188 226\n46 196\n281 39\n74 230\n50 17\n221 41\n186 184\n267 85\n195 242\n300 268\n61 149\n114 73\n110 219\n63 22\n174 54\n200 15\n181 226\n67 63\n243 136\n134 138\n161 217\n280 114\n12 198\n6 231\n110 144\n48 109\n185 174\n4 37\n164 272\n96 130\n161 118\n109 175\n220 218\n199 99\n95 114\n189 143\n34 184\n12 2\n272 6\n98 270\n246 72\n183 20\n199 257\n173 181\n44 228\n195 4\n289 9\n38 87\n169 222\n126 87\n206 299\n224 19\n40 37\n188 81\n172 70\n181 77\n21 211\n161 214\n23 295\n18 97\n227 9\n30 255\n22 188\n132 268\n265 253\n6 264\n202 188\n225 106\n295 205\n2 95\n96 221\n38 240\n70 13\n175 62\n240 109\n289 285\n61 57\n172 169\n34 211\n243 273\n160 235\n280 275\n212 77\n153 242\n117 176\n261 92\n174 200\n233 37\n137 47\n90 92\n99 188\n278 29\n40 259\n42 227\n68 95\n163 227\n63 33\n298 231\n246 165\n288 72\n231 13\n161 97\n227 85\n38 234\n192 86\n75 59\n270 108\n226 93\n141 25\n70 85\n205 89\n36 20\n228 287\n22 32\n195 134\n18 140\n66 202\n42 279\n213 286\n229 233\n5 230\n145 134\n153 37\n215 44\n178 279\n9 126\n73 175\n185 223\n99 49\n18 285\n233 211\n40 152\n121 177\n255 257\n106 288\n286 242\n121 32\n220 130\n44 255\n267 227\n211 8\n46 92\n241 177\n116 190\n28 72\n115 86\n100 108\n91 287\n135 30\n273 125\n212 130\n240 107\n58 187\n151 98\n28 108\n68 105\n145 282\n68 183\n72 23\n270 189\n272 253\n278 279\n7 290\n100 131\n100 298\n136 235\n131 276\n284 66\n195 143\n92 285\n165 5\n220 136\n230 150\n175 70\n300 85\n272 251\n135 12\n116 91\n261 56\n96 231\n264 6\n190 23\n228 280\n79 181\n241 32\n51 80\n271 179\n141 216\n117 236\n13 43\n83 117\n289 184\n18 157\n115 226\n276 118\n21 191\n219 261\n64 125\n226 217\n9 221\n39 134\n296 127\n141 280\n170 115\n35 291\n245 176\n31 0\n120 138\n173 126\n159 21\n11 255\n73 276\n290 179\n283 105\n151 41\n26 215\n48 105\n225 165\n108 238\n20 160\n120 88\n35 274\n195 93\n80 111\n41 46\n142 260\n204 105\n251 10\n13 194\n261 215\n90 90\n157 269\n194 161\n72 60\n82 51\n224 6\n111 299\n125 144\n261 196\n20 140\n81 284\n143 10\n276 184\n93 184\n281 284\n106 300\n158 132\n256 104\n127 133\n117 182\n227 104\n254 100\n21 34\n294 129\n109 245\n29 38\n147 35\n284 26\n132 116\n137 132\n176 118\n128 233\n244 198\n226 91\n125 126\n216 234\n72 264\n248 252\n166 94\n149 197\n18 277\n145 185\n192 57\n176 141\n51 65\n70 243\n154 61\n209 294\n299 93\n273 27\n146 229\n89 296\n0 67\n152 191\n182 250\n204 226\n282 260\n173 252\n159 90\n56 2\n114 277\n93 15\n279 166\n141 229\n84 164\n275 300\n228 61\n189 229\n281 131\n168 58\n126 27\n22 232\n282 195\n189 282\n205 260\n240 110\n208 13\n299 88\n253 220\n73 9\n168 105\n272 286\n31 227\n124 254\n100 1\n36 137\n173 4\n166 252\n25 15\n203 56\n109 166\n271 202\n89 275\n164 194\n204 135\n86 216\n228 15\n239 4\n211 239\n195 56\n66 115\n78 88\n139 88\n253 168\n245 297\n222 187\n75 74\n279 254\n189 32\n46 5\n214 192\n111 226\n3 190\n49 108\n102 104\n293 231\n37 135\n81 259\n168 28\n66 252\n209 128\n179 181\n233 46\n248 93\n70 10\n90 116\n241 2\n192 164\n300 274\n184 34\n113 258\n128 204\n218 71\n206 143\n38 80\n20 148\n153 138\n266 71\n100 259\n26 38\n287 64\n43 74\n18 188\n24 32\n221 78\n269 299\n198 68\n33 214\n91 263\n110 265\n204 178\n112 297\n52 66\n16 110\n29 149\n201 91\n178 166\n137 146\n41 174\n236 89\n47 284\n139 77\n122 174\n107 251\n131 48\n129 1\n184 291\n16 40\n78 85\n157 48\n239 162\n257 236\n18 298\n263 119\n94 293\n51 45\n286 121\n252 265\n277 65\n95 14\n2 231\n47 109\n158 40\n260 209\n119 36\n97 61\n128 156\n263 149\n154 109\n45 281\n161 100\n5 43\n95 158\n204 21\n291 34\n215 150\n76 255\n139 265\n55 266\n167 217\n242 12\n54 45\n35 219\n265 166\n190 28\n28 80\n264 33\n202 154\n120 182\n211 211\n263 123\n38 152\n142 160\n32 203\n214 79\n195 212\n131 62\n253 162\n12 179\n46 150\n195 83\n265 131\n154 82\n205 259\n245 53\n178 189\n165 131\n262 40\n89 125\n52 160\n182 298\n261 187\n21 185\n32 252\n123 142\n226 254\n289 183\n122 32\n138 57\n247 27\n16 243\n221 218\n38 174\n283 255\n207 113\n165 235\n138 188\n116 298\n76 225\n21 46\n53 13\n35 7\n130 277\n268 106\n136 38\n150 55\n23 88\n273 2\n211 112\n297 134\n164 297\n283 87\n160 282\n122 223\n230 276\n265 37\n169 75\n64 97\n151 126\n175 144\n149 274\n151 4\n250 26\n136 279\n296 168\n26 268\n32 72\n84 230\n85 275\n237 204\n207 232\n136 181\n147 265\n242 128\n19 17\n135 145\n223 45\n171 212\n113 131\n109 50\n171 149\n272 81\n149 221\n118 13\n56 222\n276 165\n245 76\n188 260\n71 181\n13 177\n208 54\n63 139\n115 60\n262 183\n18 148\n128 77\n250 245\n13 111\n147 242\n135 268\n114 198\n34 55\n134 9\n10 260\n153 145\n189 27\n112 217\n210 69\n186 124\n21 278\n80 130\n235 99\n235 170\n71 28\n191 218\n174 17\n93 231\n141 259\n135 97\n62 148\n262 7\n133 89\n262 125\n190 77\n25 205\n152 103\n51 130\n68 9\n136 27\n252 253\n157 213\n32 10\n218 28\n254 297\n210 93\n19 138\n159 175\n274 94\n49 280\n281 171\n148 208\n289 67\n265 210\n61 85\n225 157\n263 31\n18 184\n274 101\n226 299\n198 262\n25 171\n206 239\n267 87\n298 260\n10 25\n195 240\n6 154\n39 94\n68 196\n122 269\n159 143\n270 268\n87 260\n45 8\n193 125\n116 128\n150 269\n287 279\n246 68\n153 143\n294 137\n213 129\n299 288\n89 80\n203 177\n199 119\n281 195\n204 240\n2 54\n286 97\n77 119\n48 98\n171 5\n269 182\n249 120\n249 299\n192 166\n133 98\n154 8\n202 159\n70 74\n200 194\n143 85\n298 290\n293 7\n156 191\n197 85\n25 283\n97 132\n205 12\n52 284\n155 104\n160 190\n56 115\n283 225\n271 255\n275 89\n111 286\n281 272\n179 262\n188 104\n49 265\n93 11\n220 203\n154 161\n232 16\n261 16\n71 40\n32 249\n71 242\n13 274\n140 9\n108 195\n168 272\n239 64\n226 252\n26 233\n264 111\n298 242\n216 238\n265 4\n89 208\n53 105\n73 63\n244 206\n156 233\n213 68\n203 68\n259 244\n264 13\n189 48\n294 231\n176 204\n265 38\n267 172\n216 199\n136 161\n182 124\n146 228\n14 79\n140 154\n268 41\n280 215\n225 182\n289 2\n11 82\n80 193\n76 73\n224 216\n215 100\n159 129\n69 251\n77 267\n130 251\n275 105\n116 247\n121 57\n261 48\n53 268\n185 96\n20 240\n177 23\n192 24\n70 118\n110 247\n296 247\n95 52\n117 252\n231 22\n99 168\n291 272\n154 210\n25 298\n125 182\n48 218\n156 125\n153 55\n10 200\n269 98\n160 96\n197 10\n188 93\n217 99\n237 11\n118 108\n202 18\n155 217\n201 231\n195 285\n193 90\n89 249\n296 17\n182 80\n94 27\n253 299\n42 193\n231 244\n271 122\n291 163\n15 227\n148 27\n231 240\n231 136\n297 29\n115 7\n105 8\n95 19\n66 204\n192 87\n83 251\n153 29\n222 31\n101 133\n7 194\n235 132\n130 46\n126 255\n77 82\n215 259\n118 266\n260 4\n35 37\n38 277\n205 96\n276 115\n16 73\n45 115\n164 87\n207 4\n25 209\n207 238\n31 299\n227 197\n113 251\n114 299\n219 35\n297 139\n60 95\n160 90\n277 115\n193 207\n111 293\n157 11\n76 166\n207 285\n45 111\n70 16\n279 213\n99 22\n258 274\n128 253\n152 72\n271 234\n170 84\n153 157\n47 142\n234 207\n33 157\n1 195\n49 56\n114 191\n102 275\n133 113\n262 256\n80 166\n22 286\n231 120\n203 134\n175 238\n14 173\n145 133\n218 52\n102 284\n211 48\n293 207\n243 114\n286 295\n18 267\n139 52\n241 173\n16 123\n75 104\n163 115\n206 183\n59 289\n38 51\n293 273\n190 297\n279 49\n48 131\n214 26\n157 150\n34 139\n50 186\n148 162\n278 98\n114 155\n150 173\n286 222\n267 127\n283 201\n166 36\n285 253\n257 129\n147 171\n59 103\n144 74\n287 192\n26 115\n247 260\n198 256\n50 183\n277 155\n290 76\n19 237\n17 238\n82 295\n253 36\n273 63\n202 71\n276 127\n87 198\n234 163\n100 168\n209 109\n27 210\n136 149\n154 249\n127 21\n32 258\n121 72\n57 19\n33 200\n120 123\n126 65\n36 147\n273 105\n213 145\n124 108\n195 106\n85 225\n258 213\n135 204\n79 296\n216 162\n93 57\n139 248\n82 22\n204 149\n16 81\n156 54\n268 202\n200 27\n58 147\n33 297\n169 51\n172 82\n266 173\n235 49\n12 15\n223 82\n82 120\n110 235\n128 14\n204 87\n1 204\n269 272\n267 275\n167 166\n207 154\n6 240\n21 75\n138 270\n265 231\n240 297\n195 187\n137 286\n183 230\n22 134\n45 293\n290 85\n251 217\n284 117\n286 168\n153 74\n260 262\n3 162\n149 12\n0 269\n61 58\n36 172\n260 291\n186 58\n120 87\n139 214\n294 278\n29 218\n266 285\n74 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59\n12 139\n48 288\n5 14\n283 222\n32 300\n89 130\n92 149\n257 288\n8 249\n152 99\n171 43\n203 207\n130 157\n44 30\n152 16\n159 182\n40 155\n99 171\n113 265\n66 93\n84 130\n7 171\n220 120\n126 217\n22 84\n260 86\n56 229\n65 280\n299 102\n64 14\n10 232\n223 106\n137 195\n176 27\n119 56\n57 220\n43 294\n88 139\n88 36\n97 210\n72 179\n159 253\n182 280\n266 268\n170 204\n120 4\n192 185\n199 245\n185 146\n173 115\n49 275\n238 222\n16 14\n226 276\n78 253\n274 46\n206 67\n70 299\n13 174\n279 70\n105 175\n62 140\n175 220\n123 72\n28 14\n42 117\n173 46\n131 135\n120 161\n236 263\n170 42\n240 81\n144 201\n123 80\n44 1\n127 46\n8 5\n272 182\n48 157\n209 194\n239 179\n130 81\n261 148\n77 255\n265 244\n207 203\n230 255\n84 104\n292 98\n217 4\n158 16\n101 242\n92 264\n257 105\n160 296\n222 275\n86 12\n69 157\n86 25\n178 213\n269 284\n56 31\n107 10\n53 159\n118 157\n133 212\n195 104\n137 245\n191 27\n24 278\n238 198\n42 39\n118 6\n43 190\n279 50\n2 229\n142 147\n253 244\n234 285\n209 110\n245 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127\n54 33\n2 137\n114 253\n158 8\n298 101\n44 294\n82 199\n247 290\n59 200\n225 105\n247 68\n15 169\n53 293\n148 11\n133 93\n108 222\n89 73\n18 73\n291 236\n256 215\n39 294\n273 202\n239 295\n59 181\n257 177\n124 70\n221 156\n94 186\n16 263\n291 256\n258 171\n115 284\n163 85\n223 272\n128 132\n256 157\n246 61\n20 13\n281 159\n123 158\n88 191\n45 186\n287 10\n282 50\n49 189\n254 89\n228 84\n266 223\n0 2\n46 153\n26 207\n53 198\n151 263\n19 48\n274 136\n140 266\n176 171\n21 14\n102 11\n62 122\n191 281\n287 240\n228 118\n274 173\n75 210\n91 245\n260 33\n102 286\n5 140\n236 152\n116 193\n7 259\n276 117\n199 98\n134 149\n271 293\n67 37\n10 281\n93 117\n127 270\n241 114\n276 261\n45 221\n294 261\n12 287\n26 55\n56 203\n227 132\n157 154\n73 247\n12 129\n193 166\n200 111\n36 299\n90 172\n33 108\n168 288\n215 203\n148 3\n155 211\n136 248\n86 114\n110 160\n259 204\n17 113\n23 84\n259 289\n3 114\n70 52\n215 187\n245 61\n222 142\n248 262\n80 96\n154 162\n43 152\n6 90\n4 149\n253 287\n166 105\n161 196\n241 166\n51 54\n10 118\n144 112\n63 163\n198 177\n185 33\n49 236\n26 83\n254 276\n138 59\n105 216\n255 133\n108 174\n114 103\n202 263\n138 68\n161 146\n246 5\n217 149\n161 2\n230 91\n258 214\n19 8\n197 161\n282 284\n127 55\n212 159\n272 33\n65 234\n199 180\n248 132\n80 232\n254 83\n11 94\n187 142\n151 148\n98 50\n223 44\n197 225\n151 287\n106 157\n0 164\n211 52\n79 209\n240 159\n142 132\n46 151\n16 214\n6 134\n198 235\n63 169\n83 156\n114 238\n4 259\n249 9\n206 129\n52 58\n126 115\n159 141\n226 250\n59 233\n96 199\n148 223\n258 72\n297 125\n175 125\n80 51\n138 202\n160 53\n49 278\n89 96\n167 201\n93 0\n9 59\n54 134\n112 265\n108 43\n138 142\n250 64\n250 262\n191 17\n39 187\n12 254\n112 94\n199 148\n61 218\n221 185\n293 154\n8 182\n102 270\n238 47\n273 266\n15 146\n152 84\n47 263\n253 252\n259 220\n107 108\n237 35\n249 34\n85 7\n179 159\n158 238\n107 197\n71 88\n17 174\n194 202\n162 161\n116 42\n70 296\n183 4\n243 99\n300 165\n134 288\n272 101\n147 59\n282 279\n49 11\n264 249\n137 65\n264 127\n40 87\n13 73\n99 118\n285 282\n76 214\n14 282\n142 188\n104 183\n113 117\n90 194\n300 21\n109 107\n73 80\n286 200\n140 115\n219 196\n49 279\n151 64\n71 292\n296 80\n6 30\n92 138\n47 187\n203 205\n57 82\n84 225\n282 267\n269 86\n145 250\n129 62\n282 116\n194 138\n289 260\n119 46\n48 170\n192 72\n251 44\n128 197\n264 207\n25 181\n213 113\n287 124\n122 98\n119 170\n244 94\n179 134\n299 239\n106 126\n174 117\n241 64\n47 48\n153 117\n33 202\n276 94\n162 159\n241 27\n270 128\n176 60\n246 79\n3 34\n121 80\n255 197\n80 141\n294 217\n106 33\n263 197\n101 95\n6 169\n107 155\n131 96\n146 130\n251 263\n257 134\n71 14\n125 170\n91 76\n67 275\n31 192\n222 153\n215 293\n204 223\n107 203\n125 28\n131 232\n153 220\n92 13\n237 16\n12 256\n186 239\n247 41\n120 226\n220 140\n207 184\n115 95\n167 62\n252 17\n300 28\n195 258\n140 94\n211 35\n131 214\n298 148\n198 18\n17 79\n191 97\n42 275\n237 146\n163 254\n92 1\n32 56\n100 208\n64 11\n8 189\n160 70\n271 175\n254 10\n9 63\n230 212\n91 234\n128 137\n130 94\n275 173\n127 187\n52 282\n242 292\n118 195\n269 226\n274 125\n214 226\n34 125\n215 29\n249 227\n40 119\n223 244\n12 55\n226 28\n170 114\n98 165\n198 88\n271 105\n27 52\n282 133\n27 126\n40 20\n288 44\n140 23\n80 63\n215 56\n93 186\n94 181\n245 220\n13 41\n156 103\n18 132\n208 240\n61 278\n239 199\n275 228\n157 270\n171 106\n48 115\n148 211\n62 184\n257 225\n117 179\n131 93\n57 129\n35 231\n27 248\n288 217\n19 288\n199 3\n82 236\n13 125\n19 168\n61 159\n100 166\n290 211\n255 215\n140 251\n193 283\n7 190\n165 156\n73 64\n85 62\n157 10\n299 117\n161 198\n74 162\n237 135\n296 18\n296 81\n10 33\n266 96\n80 75\n261 230\n244 257\n120 158\n246 197\n61 210\n243 13\n2 240\n118 247\n247 153\n60 68\n121 113\n114 233\n67 183\n132 34\n57 176\n188 79\n183 128\n169 280\n253 57\n4 168\n94 161\n245 16\n156 4\n72 282\n246 230\n260 76\n268 80\n204 208\n257 126\n33 197\n99 152\n98 239\n43 258\n130 85\n229 231\n283 138\n196 190\n179 249\n50 171\n117 227\n256 34\n108 72\n6 299\n34 81\n277 179\n181 174\n271 235\n20 167\n3 109\n99 34\n129 2\n238 205\n221 176\n170 162\n153 166\n226 159\n139 44\n107 40\n51 253\n259 68\n43 44\n204 95\n88 220\n154 33\n150 110\n28 249\n41 212\n201 48\n65 289\n245 29\n92 114\n194 248\n275 77\n64 151\n94 285\n56 210\n137 4\n2 75\n0 73\n54 170\n202 167\n215 5\n39 0\n26 190\n279 283\n157 105\n166 223\n119 34\n263 28\n38 208\n84 199\n161 68\n300 178\n127 36\n215 129\n262 217\n244 99\n156 293\n204 124\n272 92\n189 138\n31 244\n100 102\n20 76\n24 217\n171 288\n223 48\n240 151\n254 87\n137 231\n95 280\n40 48\n203 211\n291 238\n60 231\n292 271\n261 9\n135 50\n64 299\n5 19\n143 104\n223 206\n240 21\n140 232\n202 226\n290 4\n187 50\n184 148\n233 133\n153 294\n123 192\n225 167\n53 50\n67 117\n90 67\n227 158\n137 200\n171 206\n32 127\n223 258\n281 251\n223 234\n291 171\n211 177\n198 44\n297 271\n96 193\n13 158\n137 191\n112 160\n168 209\n214 180\n182 193\n271 250\n112 254\n125 93\n176 110\n217 252\n273 142\n178 116\n11 229\n23 204\n32 257\n149 211\n230 144\n56 70\n91 242\n169 69\n75 85\n11 28\n269 15\n116 291\n190 244\n243 135\n116 167\n113 174\n253 39\n210 155\n17 64\n66 131\n124 95\n50 210\n300 223\n58 161\n208 225\n254 90\n154 261\n260 179\n96 77\n71 247\n46 38\n268 123\n296 131\n246 76\n63 275\n78 278\n203 293\n295 125\n48 102\n148 224\n253 49\n87 63\n42 98\n172 3\n75 41\n182 212\n190 172\n88 244\n16 159\n9 134\n235 258\n120 10\n287 218\n89 252\n74 247\n236 262\n84 296\n117 58\n291 215\n76 165\n159 133\n70 198\n239 91\n171 33\n44 155\n46 10\n240 197\n14 216\n287 194\n258 80\n160 99\n99 295\n151 74\n56 187\n100 50\n160 79\n296 243\n5 274\n212 251\n211 293\n273 215\n113 217\n54 233\n134 94\n199 265\n72 289\n79 156\n230 103\n279 288\n191 103\n204 205\n218 82\n232 146\n230 268\n26 187\n254 68\n82 32\n1 96\n104 8\n72 38\n160 171\n26 127\n73 147\n23 249\n169 48\n273 209\n251 261\n211 137\n115 110\n197 250\n52 51\n13 176\n39 48\n168 279\n265 114\n293 107\n38 207\n257 140\n292 299\n126 178\n292 21\n242 251\n198 240\n204 143\n106 293\n55 259\n228 217\n229 3\n263 298\n238 300\n96 139\n270 66\n234 147\n169 279\n237 105\n291 176\n21 141\n116 151\n237 85\n157 57\n244 54\n281 201\n110 113\n7 220\n115 45\n209 44\n107 300\n258 245\n290 64\n274 255\n55 271\n112 252\n93 209\n259 184\n288 228\n116 159\n132 122\n158 175\n16 212\n277 11\n296 207\n178 30\n107 66\n184 18\n40 267\n69 149\n201 33\n168 123\n295 266\n195 161\n6 286\n186 288\n129 246\n85 216\n271 236\n212 1\n204 278\n298 61\n64 18\n62 269\n272 235\n190 281\n81 123\n287 201\n122 258\n205 15\n17 18\n50 271\n113 267\n254 139\n30 190\n276 6\n146 231\n106 269\n98 202\n7 237\n176 191\n97 168\n173 224\n189 283\n216 146\n173 185\n253 90\n5 277\n177 252\n273 18\n1 187\n185 135\n65 202\n132 158\n167 144\n146 131\n1 103\n187 192\n220 162\n62 215\n84 210\n118 65\n267 48\n87 168\n140 35\n171 128\n139 114\n27 4\n257 81\n111 232\n278 155\n40 165\n135 137\n230 39\n157 286\n90 201\n242 81\n261 255\n295 137\n171 272\n2 145\n292 204\n249 128\n88 154\n267 58\n120 70\n133 61\n204 130\n223 42\n104 276\n63 296\n91 206\n32 107\n261 238\n151 113\n97 95\n208 34\n251 264\n115 22\n41 17\n171 219\n233 221\n169 127\n146 266\n210 185\n221 32\n289 36\n240 0\n133 198\n59 35\n296 155\n15 119\n58 60\n36 40\n61 265\n271 44\n2 230\n245 75\n29 296\n105 48\n253 282\n91 197\n113 236\n199 132\n55 65\n77 69\n118 117\n94 251\n182 104\n214 295\n201 151\n219 201\n78 52\n177 183\n172 60\n228 196\n91 273\n98 234\n122 184\n133 217\n154 92\n7 143\n11 75\n49 182\n237 267\n90 202\n162 86\n160 214\n77 239\n171 265\n220 163\n182 181\n21 195\n16 198\n232 11\n266 166\n117 254\n202 142\n102 248\n134 229\n215 252\n86 165\n294 183\n274 114\n187 56\n168 24\n79 145\n234 299\n183 182\n194 91\n101 184\n275 227\n186 169\n25 237\n278 293\n279 278\n275 218\n204 34\n146 156\n219 36\n55 38\n194 296\n77 33\n236 144\n35 77\n172 243\n151 70\n70 63\n41 164\n68 247\n239 30\n116 175\n253 30\n165 106\n28 38\n110 283\n43 276\n255 158\n61 129\n181 16\n116 186\n160 199\n206 280\n44 17\n142 128\n8 48\n184 234\n130 125\n9 130\n229 0\n106 98\n42 1\n74 33\n181 44\n138 67\n51 124\n129 13\n263 258\n238 234\n33 184\n178 82\n44 187\n289 195\n80 223\n251 243\n261 229\n23 272\n189 11\n268 267\n164 252\n18 98\n54 232\n103 85\n74 31\n219 132\n267 21\n27 76\n73 261\n125 10\n288 87\n115 85\n182 150\n132 38\n89 212\n137 269\n282 261\n253 15\n86 77\n44 199\n56 212\n135 1\n8 173\n185 89\n10 150\n154 159\n166 295\n93 233\n255 179\n269 249\n171 174\n33 21\n37 29\n78 181\n130 93\n246 83\n17 114\n207 115\n8 92\n271 20\n169 21\n27 37\n246 265\n215 163\n185 152\n254 59\n240 138\n259 39\n183 284\n112 259\n287 100\n211 294\n249 148\n190 42\n36 198\n54 199\n228 240\n43 159\n225 120\n233 279\n192 42\n75 140\n235 272\n280 3\n75 71\n14 161\n288 185\n178 193\n256 199\n187 4\n49 63\n146 224\n261 89\n293 26\n239 76\n117 138\n262 221\n155 150\n177 287\n33 250\n223 292\n202 195\n85 41\n171 108\n205 242\n111 197\n193 149\n136 118\n241 42\n109 8\n152 137\n100 210\n261 208\n142 288\n125 273\n197 16\n44 254\n2 94\n209 245\n243 6\n239 109\n47 226\n5 95\n218 140\n216 175\n99 23\n26 166\n300 119\n81 166\n149 269\n174 0\n64 168\n240 257\n224 241\n151 125\n236 85\n19 76\n165 28\n75 231\n165 233\n201 271\n42 281\n157 4\n2 241\n227 212\n65 210\n230 171\n0 49\n40 266\n266 144\n148 46\n240 294\n75 279\n84 77\n36 190\n95 245\n220 263\n148 43\n114 67\n97 89\n202 83\n184 114\n224 209\n101 216\n240 125\n19 218\n44 251\n149 164\n259 158\n86 93\n44 219\n114 127\n28 282\n240 170\n273 156\n102 168\n23 124\n182 192\n209 115\n46 118\n247 73\n72 159\n185 232\n110 223\n202 60\n51 241\n230 181\n198 160\n68 11\n38 107\n300 26\n124 286\n258 110\n108 23\n37 283\n77 211\n220 121\n110 154\n117 167\n141 244\n196 104\n275 98\n246 118\n180 146\n251 121\n115 75\n142 47\n237 31\n76 290\n30 276\n160 34\n79 8\n62 86\n122 4\n101 162\n78 266\n29 110\n74 34\n244 262\n157 71\n131 97\n39 69\n17 117\n239 39\n230 34\n275 44\n244 150\n233 124\n221 179\n65 147\n261 159\n197 259\n15 163\n151 52\n98 142\n192 0\n121 129\n120 119\n230 81\n65 29\n294 175\n6 92\n256 64\n206 173\n109 164\n171 4\n265 274\n49 289\n195 213\n179 238\n50 72\n228 147\n176 121\n251 0\n222 251\n259 148\n86 174\n224 33\n134 144\n80 267\n163 160\n288 110\n42 119\n195 10\n87 151\n116 141\n217 95\n280 297\n205 203\n178 294\n169 264\n294 281\n125 112\n105 133\n155 290\n254 246\n141 133\n109 252\n160 260\n81 0\n270 141\n49 206\n277 46\n240 283\n182 263\n204 114\n187 121\n297 206\n17 67\n298 68\n174 49\n263 278\n158 2\n66 224\n212 186\n143 24\n135 52\n196 292\n236 21\n82 221\n62 0\n125 54\n195 80\n210 268\n30 244\n227 285\n96 112\n270 109\n114 84\n84 200\n51 137\n194 165\n277 13\n235 25\n260 229\n182 125\n30 21\n150 231\n63 193\n279 253\n46 202\n207 20\n46 15\n61 44\n263 270\n287 291\n134 252\n135 146\n245 145\n246 161\n26 35\n248 48\n276 256\n108 83\n233 167\n164 231\n109 103\n120 198\n88 48\n259 239\n286 246\n117 277\n29 85\n249 74\n261 150\n252 276\n8 205\n53 243\n169 283\n196 251\n288 155\n260 190\n266 298\n180 257\n162 285\n278 35\n169 138\n38 151\n132 148\n8 253\n153 105\n207 296\n187 184\n292 16\n82 247\n227 142\n180 244\n202 38\n288 134\n230 192\n9 291\n10 184\n242 41\n228 270\n171 131\n266 48\n122 181\n80 261\n143 209\n57 234\n272 70\n280 8\n35 294\n245 45\n187 150\n71 224\n74 201\n70 212\n296 118\n182 61\n108 71\n202 255\n200 95\n21 43\n180 164\n73 239\n20 100\n59 237\n68 63\n229 218\n280 96\n244 242\n272 241\n286 178\n255 187\n182 225\n192 133\n256 203\n93 257\n167 18\n182 139\n295 43\n90 10\n287 280\n177 210\n242 139\n167 240\n89 225\n57 18\n74 171\n159 296\n155 239\n102 140\n43 137\n25 83\n71 230\n48 226\n299 173\n67 57\n116 1\n110 135\n203 270\n88 250\n130 49\n25 272\n22 54\n119 222\n269 219\n194 213\n141 188\n205 216\n73 100\n135 135\n69 275\n220 65\n87 293\n72 191\n63 204\n76 179\n181 36\n156 132\n234 196\n59 18\n269 155\n205 280\n130 172\n165 43\n25 17\n8 50\n62 173\n53 119\n101 43\n230 286\n57 244\n61 281\n262 300\n257 188\n290 240\n18 151\n12 292\n121 199\n87 233\n198 234\n15 211\n279 33\n197 191\n258 9\n288 124\n286 206\n163 284\n32 191\n110 174\n267 182\n122 104\n22 281\n191 197\n183 73\n142 48\n278 255\n176 7\n114 33\n206 294\n294 38\n233 4\n128 248\n55 135\n83 22\n8 200\n236 121\n196 210\n181 18\n35 128\n287 9\n54 246\n249 152\n204 58\n217 54\n250 76\n25 267\n131 300\n139 74\n109 21\n209 222\n127 162\n23 178\n300 8\n36 267\n164 263\n144 267\n290 125\n191 44\n173 50\n33 196\n276 48\n18 172\n60 107\n19 179\n180 214\n11 291\n180 208\n227 131\n192 131\n150 286\n157 215\n237 168\n39 179\n136 272\n226 207\n49 83\n262 34\n64 285\n251 16\n275 265\n90 169\n206 260\n43 52\n272 95\n218 289\n221 117\n89 42\n235 116\n75 276\n294 180\n170 295\n93 71\n120 163\n59 130\n276 155\n243 186\n167 286\n72 285\n210 4\n138 155\n214 197\n127 59\n204 0\n275 261\n252 293\n103 268\n227 214\n123 2\n36 116\n238 201\n37 155\n129 184\n162 253\n290 298\n184 154\n223 280\n71 147\n139 147\n277 125\n143 237\n198 110\n44 120\n225 118\n76 164\n142 36\n17 292\n8 2\n51 69\n138 240\n159 72\n246 122\n297 175\n136 258\n59 227\n297 105\n28 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300\n286 240\n6 228\n139 18\n108 31\n121 105\n236 9\n239 255\n107 217\n263 236\n122 15\n210 297\n40 106\n52 19\n91 254\n4 167\n253 230\n205 50\n141 113\n46 147\n237 41\n54 125\n193 210\n210 149\n232 215\n109 289\n92 175\n67 175\n68 282\n11 16\n152 287\n38 162\n34 276\n256 146\n103 64\n4 106\n221 191\n214 211\n11 151\n281 17\n106 8\n134 4\n104 41\n27 49\n109 257\n299 147\n96 117\n55 107\n203 91\n182 147\n251 269\n83 15\n147 11\n220 14\n138 129\n198 126\n234 195\n210 206\n22 171\n256 19\n1 58\n286 98\n263 98\n166 245\n10 18\n29 93\n177 116\n15 275\n145 120\n12 294\n17 227\n84 157\n157 266\n161 6\n115 118\n268 286\n80 129\n186 295\n293 99\n280 162\n50 212\n213 34\n65 152\n291 160\n283 195\n114 150\n299 45\n73 300\n245 182\n21 157\n178 217\n17 78\n180 99\n142 197\n168 60\n150 235\n253 105\n137 8\n163 205\n290 7\n110 132\n276 40\n63 164\n260 73\n16 19\n44 166\n14 64\n245 224\n37 290\n96 224\n58 16\n282 283\n206 224\n114 23\n148 293\n68 156\n108 282\n70 72\n22 100\n159 234\n125 153\n83 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286\n46 209\n154 12\n251 270\n75 228\n134 297\n239 136\n300 184\n259 105\n128 227\n277 178\n148 178\n177 134\n11 100\n198 135\n71 275\n30 296\n232 76\n83 236\n180 299\n164 11\n190 121\n187 289\n76 285\n12 280\n70 290\n4 146\n238 59\n244 21\n16 44\n294 53\n238 231\n36 35\n114 21\n187 190\n201 58\n42 169\n119 281\n186 223\n258 29\n241 251\n98 10\n126 244\n184 287\n204 56\n43 216\n16 103\n260 20\n45 287\n92 238\n261 47\n92 243\n164 64\n115 227\n242 296\n131 129\n113 226\n243 208\n29 183\n45 100\n27 120\n216 184\n112 22\n89 135\n289 126\n202 133\n227 172\n181 62\n61 158\n159 69\n125 269\n267 71\n244 100\n104 178\n107 121\n174 218\n0 119\n24 191\n24 248\n98 20\n182 92\n154 200\n60 136\n270 195\n159 31\n110 169\n295 259\n9 199\n43 101\n142 218\n289 164\n298 66\n77 182\n31 233\n84 3\n198 23\n9 180\n283 3\n261 228\n288 117\n277 280\n291 266\n81 4\n247 63\n226 47\n208 231\n133 158\n64 158\n299 53\n117 73\n167 237\n108 166\n284 138\n264 15\n50 258\n166 90\n202 220\n32 116\n272 143\n14 132\n146 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"output": "Play\nDon't Play\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nDon't Play\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nDon't 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Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't 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Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't 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"output": "Play\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nDon't Play\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nDon't Play\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't 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Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't 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"output": "Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't 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Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nDon't Play\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\nPlay\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://www.codechef.com/problems/EQUINOX | Solve the following coding problem using the programming language python:
Sarthak and Anuradha are very good friends and are eager to participate in an event called *Equinox*. It is a game of words. In this game, $N$ strings $S_{1},\ldots, S_{N}$ are given. For each string $S_{i}$, if it starts with one of the letters of the word βEQUINOXβ, Sarthak gets $A$ points and if not, Anuradha gets $B$ points. The one who has more points at the end of the game wins. If they both the same number of points, the game is a draw..
Print the winner of the game, if any, otherwise print βDRAWβ.
------ Input ------
The first line contains an integer $T$, the number of test cases. Then the test cases follow.
The first line of each test case contains three integers $N$, $A$, $B$.
$N$ lines follow, each containing a string $S_{i}$.
All strings are in UPPERCASE.
------ Output ------
For each test case, print βSARTHAKβ (case insensitive) if he has more points than Anuradha, print βANURADHAβ (case insensitive) if she has more points than Sarthak, otherwise print βDRAWβ (case insensitive), without the quotes.
------ Constraints ------
$1 β€ T β€ 100$
$1 β€ N β€ 100$
$1 β€ A$, $B β€ 10^{9}$
$1 β€ |S_{i}\right| β€ 100$
------ Subtasks ------
Subtask #1 (100 points): original constraints
----- Sample Input 1 ------
2
4 1 3
ABBBCDDE
EARTH
INDIA
UUUFFFDDD
2 5 7
SDHHD
XOXOXOXO
----- Sample Output 1 ------
DRAW
ANURADHA
----- explanation 1 ------
Test case $1$: The strings which start with one of the letters of the word EQUINOX are $\{$ EARTH, INDIA, UUUFFFDDD $\}$. Thus, Sarthak gets $1$ point for each of these strings. In total, Sarthak gets $3$ points.
On the other hand, there is one string that does not start with one of the letters of the word EQUINOX. Thus, Anuradha gets $3$ points for that string.
Finally, since both of them have equal points, the game results in DRAW.
Test case $2$: There is only one string that starts with one of the letters of the word EQUINOX which is XOXOXOXO. Thus, Sarthak gets $5$ point for this string.
There is one string that does not start with one of the letters of the word EQUINOX. Thus, Anuradha gets $7$ points for that string.
Finally, Anuradha has the higher score. So she is the winner.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
t = int(input())
for i in range(t):
(n, a, b) = map(int, input().split())
scount = 0
acount = 0
for i in range(n):
s = input()
if s[0] in 'EQUINOX':
scount += a
else:
acount += b
if scount > acount:
print('SARTHAK')
elif scount < acount:
print('ANURADHA')
else:
print('DRAW')
``` | vfc_135957 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/EQUINOX",
"time_limit": "0.5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n4 1 3\nABBBCDDE\nEARTH\nINDIA\nUUUFFFDDD\n2 5 7\nSDHHD\nXOXOXOXO",
"output": "DRAW\nANURADHA",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.hackerrank.com/challenges/cipher/problem | Solve the following coding problem using the programming language python:
Jack and Daniel are friends. They want to encrypt their conversations so that they can save themselves from interception by a detective agency so they invent a new cipher.
Every message is encoded to its binary representation. Then it is written down $\boldsymbol{\mbox{k}}$ times, shifted by $0,1,\cdots,k-1$ bits. Each of the columns is XORed together to get the final encoded string.
If $b=1001011$ and $k=4$ it looks like so:
1001011 shift 0
01001011 shift 1
001001011 shift 2
0001001011 shift 3
----------
1110101001 <- XORed/encoded string s
Now we have to decode the message. We know that $k=4$. The first digit in $s=1$ so our output string is going to start with $1$. The next two digits are also $1$, so they must have been XORed with $0$. We know the first digit of our $4^{th}$ shifted string is a $\mbox{I}$ as well. Since the $4^{th}$ digit of $\boldsymbol{\mathrm{~S~}}$ is $0$, we XOR that with our $1$ and now know there is a $1$ in the $4^{th}$ position of the original string. Continue with that logic until the end.
Then the encoded message $\boldsymbol{\mathrm{~S~}}$ and the key $\boldsymbol{\mbox{k}}$ are sent to Daniel.
Jack is using this encoding algorithm and asks Daniel to implement a decoding algorithm.
Can you help Daniel implement this?
Function Description
Complete the cipher function in the editor below. It should return the decoded string.
cipher has the following parameter(s):
k: an integer that represents the number of times the string is shifted
s: an encoded string of binary digits
Input Format
The first line contains two integers $n$ and $\boldsymbol{\mbox{k}}$, the length of the original decoded string and the number of shifts.
The second line contains the encoded string $\boldsymbol{\mathrm{~S~}}$ consisting of $n+k-1$ ones and zeros.
Constraints
$1\leq n\leq10^{6}$
$1\leq k\leq10^6$
$|s|=n+k-1$
It is guaranteed that $\boldsymbol{\mathrm{~S~}}$ is valid.
Output Format
Return the decoded message of length $n$, consisting of ones and zeros.
Sample Input 0
7 4
1110100110
Sample Output 0
1001010
Explanation 0
1001010
1001010
1001010
1001010
----------
1110100110
Sample Input 1
6 2
1110001
Sample Output 1
101111
Explanation 1
101111
101111
-------
1110001
Sample Input 2
10 3
1110011011
Sample Output 2
10000101
Explanation 2
10000101
010000101
0010000101
1110011011
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(n, k) = [int(i) for i in input().split()]
code = [int(i) for i in input()]
solution = [0] * n
xorSolution = 0
for i in range(n):
if i >= k:
xorSolution ^= solution[~(i - k)]
i = ~i
e = code[i]
solution[i] ^= code[i] ^ xorSolution
xorSolution ^= solution[i]
print(*solution, sep='')
``` | vfc_135965 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/cipher/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "7 4\n1110100110\n",
"output": "1001010\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 2\n1110001\n",
"output": "101111\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/AVGPR | Solve the following coding problem using the programming language python:
Read problems statements in Mandarin chinese, Russian and Vietnamese as well.
You are given an integer sequence $A$ with length $N$.
Find the number of (unordered) pairs of elements such that the average of these two elements is also present in the sequence. Formally, find the number of pairs $(i,j)$ such that $1 β€ i < j β€ N$ and there is an index $k$ ($1 β€ k β€ N$) for which $2A_{k} = A_{i}+A_{j}$ holds.
------ Input ------
The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
The first line of each test case contains a single integer $N$.
The second line contains $N$ space-separated integers $A_{1}, A_{2}, \dots, A_{N}$.
------ Output ------
For each test case, print a single line containing one integer β the number of valid pairs $(i,j)$.
------ Constraints ------
$1 β€ T β€ 10$
$1 β€ N β€ 10^{5}$
$|A_{i}| β€ 10^{3}$ for each valid $i$
------ Subtasks ------
Subtask #1 (30 points): $1 β€ N β€ 10^{3}$
Subtask #2 (70 points): $1 β€ N β€ 10^{5}$
----- Sample Input 1 ------
3
2
2 2
3
2 1 3
6
4 2 5 1 3 5
----- Sample Output 1 ------
1
1
7
----- explanation 1 ------
Example case 1: We can take $k$ for $A_{k}$ to be either 1 or 2, since $A_{k}=2$ either way. Since the problem asks for unordered pairs, $(1,2)$ is the only possible valid pair (the same as $(2,1)$). Hence, the answer is 1.
Example case 2: We see that $A_{1} = 2 = (1+3)/2$. No other valid pair exists.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def ti():
return tuple(map(int, input().split()))
def li():
return list(map(int, input().split()))
def si():
return input().split()
def ii():
return int(input())
def ip():
return input()
for tastcas in range(int(input())):
n = ii()
a = li()
d = {}
ans = 0
for i in range(-1000, 1001):
d[i] = 0
for i in a:
d[i] += 1
for i in range(-1000, 1001):
for j in range(i, 1001, 2):
if i == j:
x = (i + j) / 2
if d[x]:
ans += d[i] * (d[i] - 1) // 2
else:
x = (i + j) // 2
if d[x]:
ans += d[i] * d[j]
print(ans)
``` | vfc_135969 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/AVGPR",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n2\n2 2\n3\n2 1 3\n6\n4 2 5 1 3 5",
"output": "1\n1\n7",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1051/B | Solve the following coding problem using the programming language python:
You are given a set of all integers from $l$ to $r$ inclusive, $l < r$, $(r - l + 1) \le 3 \cdot 10^5$ and $(r - l)$ is always odd.
You want to split these numbers into exactly $\frac{r - l + 1}{2}$ pairs in such a way that for each pair $(i, j)$ the greatest common divisor of $i$ and $j$ is equal to $1$. Each number should appear in exactly one of the pairs.
Print the resulting pairs or output that no solution exists. If there are multiple solutions, print any of them.
-----Input-----
The only line contains two integers $l$ and $r$ ($1 \le l < r \le 10^{18}$, $r - l + 1 \le 3 \cdot 10^5$, $(r - l)$ is odd).
-----Output-----
If any solution exists, print "YES" in the first line. Each of the next $\frac{r - l + 1}{2}$ lines should contain some pair of integers. GCD of numbers in each pair should be equal to $1$. All $(r - l + 1)$ numbers should be pairwise distinct and should have values from $l$ to $r$ inclusive.
If there are multiple solutions, print any of them.
If there exists no solution, print "NO".
-----Example-----
Input
1 8
Output
YES
2 7
4 1
3 8
6 5
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def gcd(A, B):
if B == 0:
return A
remainder = A % B
return gcd(B, remainder)
def verify_input(input):
if input[0] < input[1]:
if input[0] > 0 and input[1] <= 10 ** 18:
if input[1] - input[0] + 1 <= 3 * 10 ** 5:
if (input[1] - input[0]) % 2 == 1:
return True
return False
def solution(S):
for i in range(0, len(S), 2):
print(S[i], S[i + 1])
S = [int(x) for x in input().split()]
verified = verify_input(S)
if verified:
print('YES')
solution(list(range(S[0], S[1] + 1)))
else:
print('NO')
``` | vfc_135982 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1051/B",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 8\n",
"output": "YES\n1 2\n3 4\n5 6\n7 8\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 2\n",
"output": "YES\n1 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 3\n",
"output": "YES\n2 3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 9\n",
"output": "YES\n4 5\n6 7\n8 9\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 6\n",
"output": "YES\n3 4\n5 6\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 12\n",
"output": "YES\n3 4\n5 6\n7 8\n9 10\n11 12\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/454/C | Solve the following coding problem using the programming language python:
Twilight Sparkle was playing Ludo with her friends Rainbow Dash, Apple Jack and Flutter Shy. But she kept losing. Having returned to the castle, Twilight Sparkle became interested in the dice that were used in the game.
The dice has m faces: the first face of the dice contains a dot, the second one contains two dots, and so on, the m-th face contains m dots. Twilight Sparkle is sure that when the dice is tossed, each face appears with probability <image>. Also she knows that each toss is independent from others. Help her to calculate the expected maximum number of dots she could get after tossing the dice n times.
Input
A single line contains two integers m and n (1 β€ m, n β€ 105).
Output
Output a single real number corresponding to the expected maximum. The answer will be considered correct if its relative or absolute error doesn't exceed 10 - 4.
Examples
Input
6 1
Output
3.500000000000
Input
6 3
Output
4.958333333333
Input
2 2
Output
1.750000000000
Note
Consider the third test example. If you've made two tosses:
1. You can get 1 in the first toss, and 2 in the second. Maximum equals to 2.
2. You can get 1 in the first toss, and 1 in the second. Maximum equals to 1.
3. You can get 2 in the first toss, and 1 in the second. Maximum equals to 2.
4. You can get 2 in the first toss, and 2 in the second. Maximum equals to 2.
The probability of each outcome is 0.25, that is expectation equals to:
<image>
You can read about expectation using the following link: http://en.wikipedia.org/wiki/Expected_value
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(n, m) = map(int, input().split())
s = 0
for i in range(n):
s += (i + 1) * (pow((i + 1) / n, m) - pow(i / n, m))
print(s)
``` | vfc_135986 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/454/C",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "50000 100000\n",
"output": "49999.843487110797\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "53033 3\n",
"output": "39775.249995285820\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "99999 99999\n",
"output": "99998.418033254595\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "99999 1111\n",
"output": "99909.571915885928\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "94444 9\n",
"output": "85000.099992058575\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/584/D | Solve the following coding problem using the programming language python:
Dima loves representing an odd number as the sum of multiple primes, and Lisa loves it when there are at most three primes. Help them to represent the given number as the sum of at most than three primes.
More formally, you are given an odd numer n. Find a set of numbers p_{i} (1 β€ i β€ k), such that
1 β€ k β€ 3
p_{i} is a prime
$\sum_{i = 1}^{k} p_{i} = n$
The numbers p_{i} do not necessarily have to be distinct. It is guaranteed that at least one possible solution exists.
-----Input-----
The single line contains an odd number n (3 β€ n < 10^9).
-----Output-----
In the first line print k (1 β€ k β€ 3), showing how many numbers are in the representation you found.
In the second line print numbers p_{i} in any order. If there are multiple possible solutions, you can print any of them.
-----Examples-----
Input
27
Output
3
5 11 11
-----Note-----
A prime is an integer strictly larger than one that is divisible only by one and by itself.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def main():
n = int(input())
limit = int(n ** 0.5) + 1
lim12 = max(limit, 12)
lim = lim12 // 6
l = [False, True, True] * lim
lim = lim * 3 - 1
for (i, s) in enumerate(l):
if s:
(p, pp) = (i * 2 + 3, (i + 3) * i * 2 + 3)
le = (lim - pp) // p + 1
if le > 0:
l[pp::p] = [False] * le
else:
break
l[3] = True
primes = [i for (i, s) in zip(list(range(3, lim12, 2)), l) if s]
for (i, p) in enumerate((3, 5, 7)):
primes[i] = p
res = False
for x in (n, n - 2, n - 4):
if x > primes[-1]:
for p in primes:
if not x % p:
break
else:
res = True
else:
res = x in primes
if res:
print((n - x) // 2 + 1)
print(x, *[2] * ((n - x) // 2))
return
(l, cache) = ([], set())
for b in primes:
l.append(b)
for c in l:
a = n - b - c
if a not in cache:
for p in primes:
if not a % p:
cache.add(a)
break
else:
print(3)
print(a, b, c)
return
def __starting_point():
main()
__starting_point()
``` | vfc_135991 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/584/D",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "27\n",
"output": "3\n2 2 23",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n",
"output": "1\n3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "25\n",
"output": "2\n2 23",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9\n",
"output": "2\n2 7",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "91\n",
"output": "2\n2 89",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "57\n",
"output": "3\n2 2 53",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/JULY12/problems/GRAYSC | Solve the following coding problem using the programming language python:
The Gray code (see wikipedia for more details) is a well-known concept.
One of its important properties is that every two adjacent numbers have exactly one different digit in their binary representation.
In this problem, we will give you n non-negative integers in a sequence A[1..n] (0<=A[i]<2^64), such that every two adjacent integers have exactly one different digit in their binary representation, similar to the Gray code.
Your task is to check whether there exist 4 numbers A[i1], A[i2], A[i3], A[i4] (1 <= i1 < i2 < i3 < i4 <= n) out of the given n numbers such that A[i1] xor A[i2] xor A[i3] xor A[i4] = 0. Here xor is a bitwise operation which is same as ^ in C, C++, Java and xor in Pascal.
-----Input-----
First line contains one integer n (4<=n<=100000).
Second line contains n space seperated non-negative integers denoting the sequence A.
-----Output-----
Output βYesβ (quotes exclusive) if there exist four distinct indices i1, i2, i3, i4 such that A[i1] xor A[i2] xor A[i3] xor A[i4] = 0. Otherwise, output "No" (quotes exclusive) please.
-----Example-----
Input:
5
1 0 2 3 7
Output:
Yes
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
dic = {}
n = int(input())
flag = 0
if n >= 68:
inp = input()
print('Yes')
else:
inp = [int(x) for x in input().split()]
for i in range(len(inp) - 1):
for j in range(i + 1, len(inp)):
xor = inp[i] ^ inp[j]
if xor in list(dic.keys()):
for pair in dic[xor]:
(x, y) = pair
if x != i and y != j and (x != j) and (y != i):
flag = 1
break
dic[xor].append((i, j))
else:
dic[xor] = []
dic[xor].append((i, j))
if flag is 1:
break
if flag is 1:
break
if flag is 1:
print('Yes')
else:
print('No')
``` | vfc_136000 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/JULY12/problems/GRAYSC",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n1 0 2 3 7\n",
"output": "Yes\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/174/C | Solve the following coding problem using the programming language python:
Polycarpus is an amateur programmer. Now he is analyzing a friend's program. He has already found there the function rangeIncrement(l, r), that adds 1 to each element of some array a for all indexes in the segment [l, r]. In other words, this function does the following:
function rangeIncrement(l, r)
for i := l .. r do
a[i] = a[i] + 1
Polycarpus knows the state of the array a after a series of function calls. He wants to determine the minimum number of function calls that lead to such state. In addition, he wants to find what function calls are needed in this case. It is guaranteed that the required number of calls does not exceed 105.
Before calls of function rangeIncrement(l, r) all array elements equal zero.
Input
The first input line contains a single integer n (1 β€ n β€ 105) β the length of the array a[1... n].
The second line contains its integer space-separated elements, a[1], a[2], ..., a[n] (0 β€ a[i] β€ 105) after some series of function calls rangeIncrement(l, r).
It is guaranteed that at least one element of the array is positive. It is guaranteed that the answer contains no more than 105 calls of function rangeIncrement(l, r).
Output
Print on the first line t β the minimum number of calls of function rangeIncrement(l, r), that lead to the array from the input data. It is guaranteed that this number will turn out not more than 105.
Then print t lines β the descriptions of function calls, one per line. Each line should contain two integers li, ri (1 β€ li β€ ri β€ n) β the arguments of the i-th call rangeIncrement(l, r). Calls can be applied in any order.
If there are multiple solutions, you are allowed to print any of them.
Examples
Input
6
1 2 1 1 4 1
Output
5
2 2
5 5
5 5
5 5
1 6
Input
5
1 0 1 0 1
Output
3
1 1
3 3
5 5
Note
The first sample requires a call for the entire array, and four additional calls:
* one for the segment [2,2] (i.e. the second element of the array),
* three for the segment [5,5] (i.e. the fifth element of the array).
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = int(input())
big = 10 ** 5
last = (big + 1) * [-1]
data = list(map(int, input().split()))
data.insert(0, 0)
data.append(0)
result = []
previous = 0
for (pos, current) in enumerate(data):
if current > previous:
for x in range(previous + 1, current + 1):
last[x] = pos
elif current < previous:
for x in range(previous, current, -1):
result.append('%d %d' % (last[x], pos - 1))
previous = current
print(len(result))
print('\n'.join(result))
``` | vfc_136004 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/174/C",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n2 1\n",
"output": "2\n1 1\n1 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n2 4 2\n",
"output": "4\n2 2\n2 2\n1 3\n1 3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n1 1\n",
"output": "1\n1 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n1 1 1\n",
"output": "1\n1 3\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/808/C | Solve the following coding problem using the programming language python:
Polycarp invited all his friends to the tea party to celebrate the holiday. He has n cups, one for each of his n friends, with volumes a_1, a_2, ..., a_{n}. His teapot stores w milliliters of tea (w β€ a_1 + a_2 + ... + a_{n}). Polycarp wants to pour tea in cups in such a way that: Every cup will contain tea for at least half of its volume Every cup will contain integer number of milliliters of tea All the tea from the teapot will be poured into cups All friends will be satisfied.
Friend with cup i won't be satisfied, if there exists such cup j that cup i contains less tea than cup j but a_{i} > a_{j}.
For each cup output how many milliliters of tea should be poured in it. If it's impossible to pour all the tea and satisfy all conditions then output -1.
-----Input-----
The first line contains two integer numbers n and w (1 β€ n β€ 100, $1 \leq w \leq \sum_{i = 1}^{n} a_{i}$).
The second line contains n numbers a_1, a_2, ..., a_{n} (1 β€ a_{i} β€ 100).
-----Output-----
Output how many milliliters of tea every cup should contain. If there are multiple answers, print any of them.
If it's impossible to pour all the tea and satisfy all conditions then output -1.
-----Examples-----
Input
2 10
8 7
Output
6 4
Input
4 4
1 1 1 1
Output
1 1 1 1
Input
3 10
9 8 10
Output
-1
-----Note-----
In the third example you should pour to the first cup at least 5 milliliters, to the second one at least 4, to the third one at least 5. It sums up to 14, which is greater than 10 milliliters available.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(n, w) = input().split()
(n, w) = (int(n), int(w))
x = [int(i) for i in input().split()]
need = 0
ans = []
for i in range(0, n):
need += (x[i] + 1) // 2
ans.append([(x[i] + 1) // 2, x[i], i])
if w < need:
print(-1)
else:
w -= need
ans.sort(key=lambda x: x[1], reverse=1)
for i in range(n):
now = ans[i][1] - ans[i][0]
if w >= now:
w -= now
ans[i][0] = ans[i][1]
else:
ans[i][0] += w
break
ans.sort(key=lambda x: x[2])
for i in range(n):
print(ans[i][0], end=' ')
``` | vfc_136011 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/808/C",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2 10\n8 7\n",
"output": "6 4 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 4\n1 1 1 1\n",
"output": "1 1 1 1 \n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/closest-triplet3807/1 | Solve the following coding problem using the programming language python:
Given three sorted arrays A[] of size P, B[] of size Q and C[] of size R.Find a number X such that when 3 elements i, j and k are chosen from A, B and C respectively,then X=max(abs(A[i] β B[j]), abs(B[j] β C[k]), abs(C[k] β A[i])) is minimized. Here abs() indicates absolute value.
Example 1:
Input:
P=3
A[] = {1, 4, 10}
Q=3
B[] = {2, 15, 20}
R=2
C[] = {10, 12}
Output:
5
Explanation:
We take 10 from A, 15 from B and
10 from C, so,
X=max(abs(10-15),abs(15-12),abs(10-10))
which gives X=18
Example 2:
Input:
P=3
A[] = {20, 24, 100}
Q=5
B[] = {2, 19, 22, 79, 800}
R=5
C[] = {10, 12, 23, 24, 119}
Output:
2
Explanation:
We take 24 from A,22 from B and 24 from C.X
=max(abs(24-22),max(abs(24-22),abs(24-24)))
which is 2.
Your Task:
You don't need to read input or print anything.Your task is to complete the function findClosest() which takes P,Q,R,A[],B[],C[] as input parameters and returns the minimum X where X=max(abs(A[i]-B[j]),max(abs(A[i]-C[k]),abs(B[j]-C[k]))).
Expected Time Complexity:O(P+Q+R)
Expected Auxillary Space:O(1)
Constraints:
1<=P,Q,R<=10^{4}
1<=A[i],B[j],C[k]<=10^{6 }where 0<=i<P , 0<=j<Q , 0<=k<R
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def findClosest(self, P, Q, R, A, B, C):
#code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def findClosest(self, P, Q, R, A, B, C):
(i, j, k) = (0, 0, 0)
l1 = P
l2 = Q
l3 = R
ans = float('inf')
while i < l1 and j < l2 and (k < l3):
temp = max(abs(A[i] - B[j]), abs(B[j] - C[k]), abs(C[k] - A[i]))
if temp < ans:
ans = temp
if A[i] <= B[j] and A[i] <= C[k]:
i += 1
elif B[j] <= A[i] and B[j] <= C[k]:
j += 1
else:
k += 1
return ans
``` | vfc_136016 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/closest-triplet3807/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "P=3\r\nA[] = {1, 4, 10}\r\nQ=3\r\nB[] = {2, 15, 20}\r\nR=2\r\nC[] = {10, 12}",
"output": "5",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "P=3\r\nA[] = {20, 24, 100}\r\nQ=5\r\nB[] = {2, 19, 22, 79, 800}\r\nR=5\r\nC[] = {10, 12, 23, 24, 119}",
"output": "2",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/12/E | Solve the following coding problem using the programming language python:
Before the start of the football season in Berland a strange magic ritual is held. The most experienced magicians have to find a magic matrix of the size n Γ n (n is even number). Gods will never allow to start the championship without it. Matrix should contain integers from 0 to n - 1, main diagonal should contain only zeroes and matrix should be symmetric. Moreover, all numbers in each row should be different. Magicians are very tired of the thinking process, so they ask you to write a program to find such matrix.
Input
The first line contains one integer n (2 β€ n β€ 1000), n is even.
Output
Output n lines with n numbers each β the required matrix. Separate numbers with spaces. If there are several solutions, output any.
Examples
Input
2
Output
0 1
1 0
Input
4
Output
0 1 3 2
1 0 2 3
3 2 0 1
2 3 1 0
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = int(input())
a = [[0 for j in range(n)] for i in range(n)]
for i in range(n - 1):
for j in range(n - 1):
if i != j:
a[i][j] = (i + j) % n + int(i + j >= n)
a[i][n - 1] = ((n - 1 + 2 * i) % n + int(n - 1 + 2 * i >= n)) % n + int(n - 1 + 2 * i > 2 * (n - 1))
for i in range(n - 1):
a[n - 1][i] = ((n - 1 + 2 * i) % n + int(n - 1 + 2 * i >= n)) % n + int(n - 1 + 2 * i > 2 * (n - 1))
for i in a:
print(*i)
``` | vfc_136017 | {
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/12/E",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "16\n",
"output": "0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 \n2 0 4 5 6 7 8 9 10 11 12 13 14 15 1 3 \n3 4 0 6 7 8 9 10 11 12 13 14 15 1 2 5 \n4 5 6 0 8 9 10 11 12 13 14 15 1 2 3 7 \n5 6 7 8 0 10 11 12 13 14 15 1 2 3 4 9 \n6 7 8 9 10 0 12 13 14 15 1 2 3 4 5 11 \n7 8 9 10 11 12 0 14 15 1 2 3 4 5 6 13 \n8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 \n9 10 11 12 13 14 15 1 0 3 4 5 6 7 8 2 \n10 11 12 13 14 15 1 2 3 0 5 6 7 8 9 4 \n11 12 13 14 15 1 2 3 4 5 0 7 8 9 10 6 \n12 13 14 15 1 2 3 4 5 6 7 0 9 10 11 8 \n13 14 15 1 2 3 4 5 6 7 8 9 0 11 12 10 \n14 15 1 2 3 4 5 6 7 8 9 10 11 0 13 12 \n15 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 \n1 3 5 7 9 11 13 15 2 4 6 8 10 12 14 0 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "12\n",
"output": "0 2 3 4 5 6 7 8 9 10 11 1 \n2 0 4 5 6 7 8 9 10 11 1 3 \n3 4 0 6 7 8 9 10 11 1 2 5 \n4 5 6 0 8 9 10 11 1 2 3 7 \n5 6 7 8 0 10 11 1 2 3 4 9 \n6 7 8 9 10 0 1 2 3 4 5 11 \n7 8 9 10 11 1 0 3 4 5 6 2 \n8 9 10 11 1 2 3 0 5 6 7 4 \n9 10 11 1 2 3 4 5 0 7 8 6 \n10 11 1 2 3 4 5 6 7 0 9 8 \n11 1 2 3 4 5 6 7 8 9 0 10 \n1 3 5 7 9 11 2 4 6 8 10 0 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "66\n",
"output": "0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 \n2 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 3 \n3 4 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 5 \n4 5 6 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 7 \n5 6 7 8 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 9 \n6 7 8 9 10 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 11 \n7 8 9 10 11 12 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 13 \n8 9 10 11 12 13 14 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 15 \n9 10 11 12 13 14 15 16 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 17 \n10 11 12 13 14 15 16 17 18 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 19 \n11 12 13 14 15 16 17 18 19 20 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 21 \n12 13 14 15 16 17 18 19 20 21 22 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 23 \n13 14 15 16 17 18 19 20 21 22 23 24 0 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 25 \n14 15 16 17 18 19 20 21 22 23 24 25 26 0 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 27 \n15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 29 \n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 31 \n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 33 \n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 35 \n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 37 \n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 39 \n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 41 \n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 43 \n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 45 \n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 0 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 47 \n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 0 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 49 \n26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 51 \n27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 0 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 53 \n28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 0 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 55 \n29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 57 \n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 0 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 59 \n31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 0 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 61 \n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 63 \n33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 65 \n34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 \n35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 \n36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 \n37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 8 \n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 \n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 \n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 \n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 16 \n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 \n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 20 \n44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 22 \n45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 24 \n46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 26 \n47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 28 \n48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 30 \n49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 32 \n50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 34 \n51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 37 38 39 40 41 42 43 44 45 46 47 48 49 50 36 \n52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 39 40 41 42 43 44 45 46 47 48 49 50 51 38 \n53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 41 42 43 44 45 46 47 48 49 50 51 52 40 \n54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 43 44 45 46 47 48 49 50 51 52 53 42 \n55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 45 46 47 48 49 50 51 52 53 54 44 \n56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 47 48 49 50 51 52 53 54 55 46 \n57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 49 50 51 52 53 54 55 56 48 \n58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 51 52 53 54 55 56 57 50 \n59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 53 54 55 56 57 58 52 \n60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 55 56 57 58 59 54 \n61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 57 58 59 60 56 \n62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 0 59 60 61 58 \n63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 61 62 60 \n64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 0 63 62 \n65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 64 \n1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 0 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "66\n",
"output": "0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 \n2 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 3 \n3 4 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 5 \n4 5 6 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 7 \n5 6 7 8 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 9 \n6 7 8 9 10 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 11 \n7 8 9 10 11 12 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 13 \n8 9 10 11 12 13 14 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 15 \n9 10 11 12 13 14 15 16 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 17 \n10 11 12 13 14 15 16 17 18 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 19 \n11 12 13 14 15 16 17 18 19 20 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 21 \n12 13 14 15 16 17 18 19 20 21 22 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 23 \n13 14 15 16 17 18 19 20 21 22 23 24 0 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 25 \n14 15 16 17 18 19 20 21 22 23 24 25 26 0 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 27 \n15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 29 \n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 31 \n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 33 \n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 35 \n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 37 \n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 39 \n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 41 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43 44 45 46 47 48 49 50 51 52 0 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 53 \n28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 0 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 55 \n29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 57 \n30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 0 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 59 \n31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 0 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 61 \n32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 64 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24 25 26 27 28 29 30 31 32 33 34 35 36 8 \n38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 \n39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 \n40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 \n41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 16 \n42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 \n43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 20 \n44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 22 \n45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 24 \n46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 26 \n47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 28 \n48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 30 \n49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 32 \n50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 34 \n51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 37 38 39 40 41 42 43 44 45 46 47 48 49 50 36 \n52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 39 40 41 42 43 44 45 46 47 48 49 50 51 38 \n53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 41 42 43 44 45 46 47 48 49 50 51 52 40 \n54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 43 44 45 46 47 48 49 50 51 52 53 42 \n55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 45 46 47 48 49 50 51 52 53 54 44 \n56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 47 48 49 50 51 52 53 54 55 46 \n57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 49 50 51 52 53 54 55 56 48 \n58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 51 52 53 54 55 56 57 50 \n59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 53 54 55 56 57 58 52 \n60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 55 56 57 58 59 54 \n61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 57 58 59 60 56 \n62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 0 59 60 61 58 \n63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 61 62 60 \n64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 0 63 62 \n65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 64 \n1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 0 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "40\n",
"output": "0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 \n2 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 3 \n3 4 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 5 \n4 5 6 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 7 \n5 6 7 8 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 9 \n6 7 8 9 10 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 11 \n7 8 9 10 11 12 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 13 \n8 9 10 11 12 13 14 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 15 \n9 10 11 12 13 14 15 16 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 17 \n10 11 12 13 14 15 16 17 18 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 19 \n11 12 13 14 15 16 17 18 19 20 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 21 \n12 13 14 15 16 17 18 19 20 21 22 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 23 \n13 14 15 16 17 18 19 20 21 22 23 24 0 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 25 \n14 15 16 17 18 19 20 21 22 23 24 25 26 0 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 27 \n15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 29 \n16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 31 \n17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 33 \n18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 35 \n19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 37 \n20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 39 \n21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 \n22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 \n23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 6 \n24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 \n25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 10 \n26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 0 13 14 15 16 17 18 19 20 21 22 23 24 25 12 \n27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 0 15 16 17 18 19 20 21 22 23 24 25 26 14 \n28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 17 18 19 20 21 22 23 24 25 26 27 16 \n29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 19 20 21 22 23 24 25 26 27 28 18 \n30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 21 22 23 24 25 26 27 28 29 20 \n31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 23 24 25 26 27 28 29 30 22 \n32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 25 26 27 28 29 30 31 24 \n33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 27 28 29 30 31 32 26 \n34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 29 30 31 32 33 28 \n35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 31 32 33 34 30 \n36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 33 34 35 32 \n37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 35 36 34 \n38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 37 36 \n39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 38 \n1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 0 \n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/smallest-subarray-with-all-occurrences-of-a-most-frequent-element2258/1 | Solve the following coding problem using the programming language python:
Given an array A. Let X be an element in the array which has the maximum frequency. The task is to find the smallest sub segment of the array which also has X as the maximum frequency element.
Note: if two or more elements have the same frequency (i.e., maximum frequency) and the same sub segment size then print the sub segment which occurs first in the array.
Example 1:
Input : A[] = {1, 2, 2, 3, 1}
Output : 2 2
Explanation:
Note that there are two elements that appear two times,
1 and 2.The smallest window for 1 is whole array and
smallest window for 2 is {2, 2}.
Since window for 2 is smaller, this is our output.
Example 2:
Input : A[] = {1, 4, 3, 3, 5, 5}
Output : 3 3
Your Task:
This is a function problem. The input is already taken care of by the driver code. You only need to complete the function smallestSubsegment() that takes an array (arr), sizeOfArray (n), and return the required sub-segment of the array. The driver code takes care of the printing.
Expected Time Complexity: O(N).
Expected Auxiliary Space: O(N).
Constraints:
1 β€ N β€ 10^{5}
1 β€ A[i] β€ 10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def smallestSubsegment (self, arr, n) :
#Complete the function
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def smallestSubsegment(self, arr, n):
left = dict()
count = dict()
mx = 0
mn = 0
startindex = 0
for i in range(n):
ele = arr[i]
if ele not in count.keys():
left[ele] = i
count[ele] = 1
else:
count[ele] += 1
if count[ele] > mx:
mx = count[ele]
mn = i - left[ele] + 1
startindex = left[ele]
elif count[ele] == mx and i - left[ele] + 1 < mn:
mn = i - left[ele] + 1
startindex = left[ele]
return arr[startindex:startindex + mn]
``` | vfc_136022 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/smallest-subarray-with-all-occurrences-of-a-most-frequent-element2258/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "A[] = {1, 2, 2, 3, 1}",
"output": "2 2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "A[] = {1, 4, 3, 3, 5, 5}",
"output": "3 3",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/FUZZYCON | Solve the following coding problem using the programming language python:
Raj is a math pro and number theory expert. One day, he met his age-old friend Chef. Chef claimed to be better at number theory than Raj, so Raj gave him some fuzzy problems to solve. In one of those problems, he gave Chef a 3$3$-tuple of non-negative integers (a0,b0,c0)$(a_0, b_0, c_0)$ and told Chef to convert it to another tuple (x,y,z)$(x, y, z)$.
Chef may perform the following operations any number of times (including zero) on his current tuple (a,b,c)$(a, b, c)$, in any order:
- Choose one element of this tuple, i.e. a$a$, b$b$ or c$c$. Either add 1$1$ to that element or subtract 1$1$ from it. The cost of this operation is 1$1$.
- Merge: Change the tuple to (aβ1,bβ1,c+1)$(a-1, b-1, c+1)$, (aβ1,b+1,cβ1)$(a-1, b+1, c-1)$ or (a+1,bβ1,cβ1)$(a+1, b-1, c-1)$, i.e. add 1$1$ to one element and subtract 1$1$ from the other two. The cost of this operation is 0$0$.
- Split: Change the tuple to (aβ1,b+1,c+1)$(a-1, b+1, c+1)$, (a+1,bβ1,c+1)$(a+1, b-1, c+1)$ or (a+1,b+1,cβ1)$(a+1, b+1, c-1)$, i.e. subtract 1$1$ from one element and add 1$1$ to the other two. The cost of this operation is also 0$0$.
After each operation, all elements of Chef's tuple must be non-negative. It is not allowed to perform an operation that would make one or more elements of this tuple negative.
Can you help Chef find the minimum cost of converting the tuple (a0,b0,c0)$(a_0, b_0, c_0)$ to the tuple (x,y,z)$(x, y, z)$? It can be easily proved that it is always possible to convert any tuple of non-negative integers to any other.
-----Input-----
- The first line of the input contains a single integer T$T$ denoting the number of test cases. The description of T$T$ test cases follows.
- The first and only line of each test case contains six space-separated integers a0$a_0$, b0$b_0$, c0$c_0$, x$x$, y$y$ and z$z$.
-----Output-----
For each test case, print a single line containing one integer β the minimum cost.
-----Constraints-----
- 1β€Tβ€105$1 \le T \le 10^5$
- 0β€a0,b0,c0,x,y,zβ€1018$0 \le a_0, b_0, c_0, x, y, z \le 10^{18}$
-----Subtasks-----
Subtask #1 (20 points): 0β€a0,b0,c0,x,y,zβ€100$0 \le a_0, b_0, c_0, x, y, z \le 100$
Subtask #2 (80 points): original constraints
-----Example Input-----
2
1 1 1 2 2 2
1 2 3 2 4 2
-----Example Output-----
0
1
-----Explanation-----
Example case 1: The tuple (1,1,1)$(1, 1, 1)$ can be converted to (2,2,2)$(2, 2, 2)$ using only three Split operations, with cost 0$0$: (1,1,1)β(2,0,2)β(1,1,3)β(2,2,2)$(1, 1, 1) \rightarrow (2, 0, 2) \rightarrow (1, 1, 3) \rightarrow (2, 2, 2)$.
Example case 2: We can use one addition operation and one Split operation: (1,2,3)β(1,3,3)β(2,4,2)$(1, 2, 3) \rightarrow (1, 3, 3) \rightarrow (2, 4, 2)$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for _ in range(int(input())):
(a, b, c, x, y, z) = map(int, input().split())
if a == 0 and b == 0 and (c == 0) and (x == 0) and (y == 0) and (z == 0):
print(0)
continue
ans = 0
if a == 0 and b == 0 and (c == 0):
st = set((abs(x - a) % 2, abs(y - b) % 2, abs(z - c) % 2))
if st == {0, 1}:
ans = 1
else:
ans = 2
elif x == 0 and y == 0 and (z == 0):
st = set((abs(x - a) % 2, abs(y - b) % 2, abs(z - c) % 2))
if st == {0, 1}:
ans = 1
else:
ans = 2
else:
st = set((abs(x - a) % 2, abs(y - b) % 2, abs(z - c) % 2))
if st == {0, 1}:
ans = 1
print(ans)
``` | vfc_136023 | {
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/FUZZYCON",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n1 1 1 2 2 2\n1 2 3 2 4 2\n",
"output": "0\n1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/multiply-left-and-right-array-sum1555/1 | Solve the following coding problem using the programming language python:
Pitsy needs help with the given task by her teacher. The task is to divide an array into two sub-array (left and right) containing n/2 elements each and do the sum of the subarrays and then multiply both the subarrays.
Note: If the length of the array is odd then the right half will contain one element more than the left half.
Example 1:
Input : arr[ ] = {1, 2, 3, 4}
Output : 21
Explanation:
Sum up an array from index 0 to 1 = 3
Sum up an array from index 2 to 3 = 7
Their multiplication is 21.
Example 2:
Input : arr[ ] = {1, 2}
Output : 2
Your Task:
This is a function problem. The input is already taken care of by the driver code. You only need to complete the function multiply() that takes an array (arr), sizeOfArray (n), and return the sum of the subarrays and then multiply both the subarrays. The driver code takes care of the printing.
Expected Time Complexity: O(N).
Expected Auxiliary Space: O(1).
Constraints:
1 β€ T β€ 100
1 β€ N β€ 1000
1 β€ A[i] β€ 100
Write your solution by modifying this code:
```python
#User function Template for python3
def multiply (arr, n) :
#Complete the function
```
Your solution should implemented in the function "multiply". The inputs will be passed to it and it should return the correct solution.
Now solve the problem and return the code. | ```python
def multiply(arr, n):
s1 = 0
s2 = 0
x = n // 2
for i in range(n):
if i < x:
s1 += arr[i]
else:
s2 += arr[i]
return s1 * s2
``` | vfc_136031 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/multiply-left-and-right-array-sum1555/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": "multiply",
"input": "arr[ ] = {1, 2, 3, 4}",
"output": "21",
"type": "function_call"
},
{
"fn_name": "multiply",
"input": "arr[ ] = {1, 2}",
"output": "2",
"type": "function_call"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1776/H | Solve the following coding problem using the programming language python:
Beppa and her circle of geek friends keep up to date on a group chat in the instant messaging app SwerChat$^{\text{TM}}$.
The group has $n$ members, excluding Beppa. Each of those members has a unique ID between $1$ and $n$. When a user opens a group chat, SwerChat$^{\text{TM}}$ displays the list of other members of that group, sorted by decreasing times of last seen online (so the member who opened the chat most recently is the first of the list). However, the times of last seen are not displayed.
Today, Beppa has been busy all day: she has only opened the group chat twice, once at 9:00 and once at 22:00. Both times, she wrote down the list of members in the order they appeared at that time. Now she wonders: what is the minimum number of other members that must have been online at least once between 9:00 and 22:00?
Beppa is sure that no two members are ever online at the same time and no members are online when Beppa opens the group chat at 9:00 and 22:00.
-----Input-----
Each test contains multiple test cases. The first line contains an integer $t$ ($1 \leq t \leq 10000$) β the number of test cases. The descriptions of the $t$ test cases follow.
The first line of each test case contains an integer $n$ ($1 \leq n \leq 10^5$) β the number of members of the group excluding Beppa.
The second line contains $n$ integers $a_1, \, a_2, \, \dots, \, a_n$ ($1 \le a_i \le n$) β the list of IDs of the members, sorted by decreasing times of last seen online at 9:00.
The third line contains $n$ integers $b_1, \, b_2, \, \dots, \, b_n$ ($1 \le b_i \le n$) β the list of IDs of the members, sorted by decreasing times of last seen online at 22:00.
For all $1\le i < j\le n$, it is guaranteed that $a_i \ne a_j$ and $b_i \ne b_j$.
It is also guaranteed that the sum of the values of $n$ over all test cases does not exceed $10^5$.
-----Output-----
For each test case, print the minimum number of members that must have been online between 9:00 and 22:00.
-----Examples-----
Input
4
5
1 4 2 5 3
4 5 1 2 3
6
1 2 3 4 5 6
1 2 3 4 5 6
8
8 2 4 7 1 6 5 3
5 6 1 4 8 2 7 3
1
1
1
Output
2
0
4
0
-----Note-----
In the first test case, members $4, 5$ must have been online between 9:00 and 22:00.
In the second test case, it is possible that nobody has been online between 9:00 and 22:00.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from sys import stdin, stdout
input = stdin.readline
t = int(input())
for i in range(t):
n = int(input())
a = list(map(int, input().split()))
b = list(map(int, input().split()))
p = q = n - 1
c = 0
while p >= 0:
if a[p] == b[q]:
q -= 1
else:
c += 1
p -= 1
print(c)
``` | vfc_136032 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1776/H",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n5\n1 4 2 5 3\n4 5 1 2 3\n6\n1 2 3 4 5 6\n1 2 3 4 5 6\n8\n8 2 4 7 1 6 5 3\n5 6 1 4 8 2 7 3\n1\n1\n1\n",
"output": "2\n0\n4\n0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/544/C | Solve the following coding problem using the programming language python:
Programmers working on a large project have just received a task to write exactly m lines of code. There are n programmers working on a project, the i-th of them makes exactly ai bugs in every line of code that he writes.
Let's call a sequence of non-negative integers v1, v2, ..., vn a plan, if v1 + v2 + ... + vn = m. The programmers follow the plan like that: in the beginning the first programmer writes the first v1 lines of the given task, then the second programmer writes v2 more lines of the given task, and so on. In the end, the last programmer writes the remaining lines of the code. Let's call a plan good, if all the written lines of the task contain at most b bugs in total.
Your task is to determine how many distinct good plans are there. As the number of plans can be large, print the remainder of this number modulo given positive integer mod.
Input
The first line contains four integers n, m, b, mod (1 β€ n, m β€ 500, 0 β€ b β€ 500; 1 β€ mod β€ 109 + 7) β the number of programmers, the number of lines of code in the task, the maximum total number of bugs respectively and the modulo you should use when printing the answer.
The next line contains n space-separated integers a1, a2, ..., an (0 β€ ai β€ 500) β the number of bugs per line for each programmer.
Output
Print a single integer β the answer to the problem modulo mod.
Examples
Input
3 3 3 100
1 1 1
Output
10
Input
3 6 5 1000000007
1 2 3
Output
0
Input
3 5 6 11
1 2 1
Output
0
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
a = list(map(int, input().split()))
n = a[0]
m = a[1]
b = a[2]
mod = a[3]
ac = list(map(int, input().split()))
ac = [0] + ac
dp = [[[0 for k in range(b + 1)] for _ in range(m + 1)] for z in range(2)]
for i in range(n + 1):
for x in range(b + 1):
dp[i % 2][0][x] = 1
for i in range(1, n + 1):
for j in range(1, m + 1):
for x in range(b + 1):
if ac[i] <= x:
dp[i % 2][j][x] = (dp[(i - 1) % 2][j][x] + dp[i % 2][j - 1][x - ac[i]]) % mod
else:
dp[i % 2][j][x] = dp[(i - 1) % 2][j][x] % mod
print(dp[n % 2][m][b])
``` | vfc_136036 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/544/C",
"time_limit": "3.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 1 1 1\n0\n",
"output": "0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1767/C | Solve the following coding problem using the programming language python:
You are given an integer $n$. You have to calculate the number of binary (consisting of characters 0 and/or 1) strings $s$ meeting the following constraints.
For every pair of integers $(i, j)$ such that $1 \le i \le j \le n$, an integer $a_{i,j}$ is given. It imposes the following constraint on the string $s_i s_{i+1} s_{i+2} \dots s_j$:
if $a_{i,j} = 1$, all characters in $s_i s_{i+1} s_{i+2} \dots s_j$ should be the same;
if $a_{i,j} = 2$, there should be at least two different characters in $s_i s_{i+1} s_{i+2} \dots s_j$;
if $a_{i,j} = 0$, there are no additional constraints on the string $s_i s_{i+1} s_{i+2} \dots s_j$.
Count the number of binary strings $s$ of length $n$ meeting the aforementioned constraints. Since the answer can be large, print it modulo $998244353$.
-----Input-----
The first line contains one integer $n$ ($2 \le n \le 100$).
Then $n$ lines follow. The $i$-th of them contains $n-i+1$ integers $a_{i,i}, a_{i,i+1}, a_{i,i+2}, \dots, a_{i,n}$ ($0 \le a_{i,j} \le 2$).
-----Output-----
Print one integer β the number of strings meeting the constraints, taken modulo $998244353$.
-----Examples-----
Input
3
1 0 2
1 0
1
Output
6
Input
3
1 1 2
1 0
1
Output
2
Input
3
1 2 1
1 0
1
Output
0
Input
3
2 0 2
0 1
1
Output
0
-----Note-----
In the first example, the strings meeting the constraints are 001, 010, 011, 100, 101, 110.
In the second example, the strings meeting the constraints are 001, 110.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = int(input())
pr = [i for i in range(n)]
a = [list(map(int, input().split())) for i in range(n)]
for e in a:
if e[0] == 2:
print(0)
quit()
for i in range(n):
for j in range(n - i):
if a[i][j] == 1:
for k in range(i + 1, i + j + 1):
pr[k] = pr[k - 1]
d = [[0] * n for i in range(n)]
d[0][0] = 2
MOD = 998244353
for i in range(1, n):
ps = 0
for j in range(i + 1):
if a[j][i - j] == 2:
ps = j + 1
for j in range(ps, i):
d[i][j] = d[i - 1][j]
if pr[i] >= i:
d[i][i] = sum(d[i - 1]) % MOD
print(sum(d[n - 1]) % MOD)
``` | vfc_136040 | {
"difficulty": "hard",
"memory_limit": "512 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1767/C",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n1 0 2\n1 0\n1\n",
"output": "6\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n1 1 2\n1 0\n1\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n1 2 1\n1 0\n1\n",
"output": "0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/LTIME29/problems/STDPRGS | Solve the following coding problem using the programming language python:
Leha is a usual student at 'The Usual University for Usual Students'. Sometimes he studies hard; at other times he plays truant and gets busy with other things besides academics. He has already studied at the university for N months. For the ith month (1 β€ i β€ N), he has received some non-negative integer grade A[i].
Now he wants to analyse his progress for some periods of his university education. An arbitrary period, defined by two positive integers L and R, begins at Leha's Lth month at the university and ends at the Rth. The analysis is performed via the following steps.
1. Write down all the grades for each month from L to R and sort them. Let's call the sorted list S.
2. Calculate the sum of squared differences of consecutive elements in S, that is, (S[2] - S[1])2 + (S[3] - S[2])2 + ... + (S[R-L+1] - S[R-L])2.
-----Input-----
The first line contains one integer N β the number of months Leha has already studied at the university.
The second line contains N integers β list A of Leha's grades.
The third line contains one integer M β the number of periods Leha is interested in analyzing.
Each of the following M lines contain two integers L and R describing each period.
-----Output-----
For each query, output one integer β the result of the progress analysis for the corresponding period.
-----Constraints-----
- 1 β€ N, M β€ 5*104
- 0 β€ A[i] β€ 106
-----Subtasks-----
- Subtask 1 (19 points) 1 β€ N, M β€ 200, time limit = 2 sec
- Subtask 2 (31 points) 1 β€ N, M β€ 10 000, time limit = 2 sec
- Subtask 3 (26 points) 0 β€ A[i] β€ 100, time limit = 5 sec
- Subtask 4 (24 points) no additional constraints, , time limit = 5 sec
-----Example-----
Input:5
1 3 2 4 5
5
1 5
1 4
2 4
3 3
3 5
Output:4
3
2
0
5
Explanation
The first query: sorted array looks like (1, 2, 3, 4, 5) and the answer is calculated as (2-1)2 + (3-2)2 + (4-3)2 + (5-4)2 = 4
The second query: sorted array looks like (1, 2, 3, 4) and the answer is calculated as (2-1)2 + (3-2)2 + (4-3)2 = 3
The last query: sorted array looks like (2, 4, 5) and the answer is calculated as (4-2)2 + (5-4)2 = 5
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
n = eval(input())
grades = list(map(int, input().split()))
m = eval(input())
for df in range(m):
(x, y) = list(map(int, input().split()))
arr = []
arr = grades[x - 1:y]
arr.sort()
sum = 0
for nh in range(0, len(arr) - 1, 1):
sum = sum + (arr[nh + 1] - arr[nh]) ** 2
print(sum)
``` | vfc_136044 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/LTIME29/problems/STDPRGS",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n1 3 2 4 5\n5\n1 5\n1 4\n2 4\n3 3\n3 5\n",
"output": "4\n3\n2\n0\n5\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/PERMGCD | Solve the following coding problem using the programming language python:
Chef is interested in the sum of [GCD]s of all prefixes of a permutation of the integers \{1, 2, \ldots, N\}.
Formally, for a permutation P = [P_{1}, P_{2}, \ldots, P_{N}] of \{1, 2, \ldots, N\}, let us define a function F_{i} = \gcd(A_{1}, A_{2}, A_{3}, \ldots, A_{i}). Chef is interested in the value of F_{1} + F_{2} + \ldots + F_{N}.
Now, Chef wants to find a permutation of \{1, 2, \ldots, N\} which has the given sum equal to X. Please help Chef find one such permutation. In case there is no such permutation, print -1. In case of multiple answers, any of them will be accepted.
A permutation of \{1, 2, \ldots, N\} is a sequence of numbers from 1 to N in which each number occurs exactly once.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of a single line containing two space separated integers N and X denoting the length of required permutation and the required sum of GCDs of all prefixes respectively.
------ Output Format ------
- If there is a valid permutation that satisfies the required condition, then:
- In a single line, output N space-separated integers denoting the required permutation permutation.
- If there is no permutation, print -1 in a single line.
------ Constraints ------
$1 β€ T β€ 10^{4}$
$1 β€ N β€ 1000$
$1 β€ X β€ 2\cdot N - 1$
- The sum of $N$ over all test cases won't exceed $3\cdot 10^{5}$.
----- Sample Input 1 ------
4
1 1
2 1
4 6
3 5
----- Sample Output 1 ------
1
-1
2 4 3 1
3 2 1
----- explanation 1 ------
Test case $1$: The only possible permutation has a sum of $1$, as required.
Test case $2$: The two permutations of length $2$ are:
- $[1, 2]$ with a value of $1 + 1 = 2$
- $[2, 1]$ with a value of $2 + 1 = 3$
None of them have a sum of $X = 1$, so we output $-1$.
Test case $3$: For $P = [2, 4, 3, 1]$, we have:
- $F_{1} = 2$
- $F_{2} = \gcd(2, 4) = 2$
- $F_{3} = \gcd(2, 4, 3) = 1$
- $F_{4} = \gcd(2, 4, 3, 1) = 1$
The sum of these values is $6$, as required.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
code = int(input())
for i in range(code):
(vij, hyd) = list(map(int, input().split()))
if hyd < vij:
print(-1)
continue
print(hyd - vij + 1, end=' ')
for i in range(1, vij + 1):
if i != hyd - vij + 1:
print(i, end=' ')
print(' ')
``` | vfc_136053 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/PERMGCD",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n1 1\n2 1\n4 6\n3 5\n",
"output": "1\n-1\n2 4 3 1\n3 2 1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/reverse-spiral-form-of-matrix4033/1 | Solve the following coding problem using the programming language python:
Given a matrix as 2D array. Find the reverse spiral traversal of the matrix.
Example 1:
Input: R = 3, C = 3
a = {{9, 8, 7},
{6, 5, 4},
{3, 2, 1}}
Output: 5 6 3 2 1 4 7 8 9
Explanation: Spiral form of the matrix
in reverse order starts from the centre
and goes outward.
Example 2:
Input: R = 4, C = 4
a = {{1, 2, 3, 4},
{5, 6, 7, 8},
{9, 10, 11, 12},
{13, 14, 15, 16}}
Output: 10 11 7 6 5 9 13 14 15 16 12 8 4 3 2 1
Explanation:
Your Task:
You dont need to read input or print anything. Complete the function reverseSpiral() which takes R, C and a as input parameters and returns the matrix in reverse spiral form.
Expected Time Complexity: O(R*C)
Expected Auxiliary Space: O(R*C)
Constraints:
1 <= R,C <=100
1 <= a[R][C] <=100
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def reverseSpiral(self, R, C, a):
# code here
```
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
class Solution:
def reverseSpiral(self, R, C, a):
(top, left) = (0, 0)
(bottom, right) = (R - 1, C - 1)
ans = []
while top <= bottom and left <= right:
for i in range(left, right + 1):
ans.append(a[top][i])
top += 1
for i in range(top, bottom + 1):
ans.append(a[i][right])
right -= 1
if top <= bottom:
for i in range(right, left - 1, -1):
ans.append(a[bottom][i])
bottom -= 1
if left <= right:
for i in range(bottom, top - 1, -1):
ans.append(a[i][left])
left += 1
ans.reverse()
return ans
``` | vfc_136058 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/reverse-spiral-form-of-matrix4033/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "R = 3, C = 3\r\n a = {{9, 8, 7},\r\n {6, 5, 4},\r\n {3, 2, 1}}",
"output": "5 6 3 2 1 4 7 8 9",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1042/E | Solve the following coding problem using the programming language python:
Vasya has got a magic matrix a of size n Γ m. The rows of the matrix are numbered from 1 to n from top to bottom, the columns are numbered from 1 to m from left to right. Let a_{ij} be the element in the intersection of the i-th row and the j-th column.
Vasya has also got a chip. Initially, the chip is in the intersection of the r-th row and the c-th column (that is, in the element a_{rc}). Vasya performs the following process as long as possible: among all elements of the matrix having their value less than the value of the element with the chip in it, Vasya randomly and equiprobably chooses one element and moves his chip to this element.
After moving the chip, he adds to his score the square of the Euclidean distance between these elements (that is, between the element in which the chip is now and the element the chip was moved from). The process ends when there are no elements having their values less than the value of the element with the chip in it.
Euclidean distance between matrix elements with coordinates (i_1, j_1) and (i_2, j_2) is equal to β{(i_1-i_2)^2 + (j_1-j_2)^2}.
Calculate the expected value of the Vasya's final score.
It can be shown that the answer can be represented as P/Q, where P and Q are coprime integer numbers, and Q notβ‘ 0~(mod ~ 998244353). Print the value P β
Q^{-1} modulo 998244353.
Input
The first line of the input contains two integers n and m (1 β€ n, m β€ 1 000) β the number of rows and the number of columns in the matrix a.
The following n lines contain description of the matrix a. The i-th line contains m integers a_{i1}, a_{i2}, ..., a_{im} ~ (0 β€ a_{ij} β€ 10^9).
The following line contains two integers r and c (1 β€ r β€ n, 1 β€ c β€ m) β the index of row and the index of column where the chip is now.
Output
Print the expected value of Vasya's final score in the format described in the problem statement.
Examples
Input
1 4
1 1 2 1
1 3
Output
2
Input
2 3
1 5 7
2 3 1
1 2
Output
665496238
Note
In the first example, Vasya will move his chip exactly once. The expected value of the final score is equal to (1^2 + 2^2+ 1^2)/(3) = 2.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import io, os
ns = iter(os.read(0, os.fstat(0).st_size).split()).__next__
MX = 10 ** 6
MOD = 998244353
(n, m) = (int(ns()), int(ns()))
a = [int(ns()) for i in range(n * m)]
s = (int(ns()) - 1) * m + int(ns()) - 1
inv = [1] * MX
for i in range(2, MX):
inv[i] = -(MOD // i) * inv[MOD % i] % MOD
ind = sorted(list(range(n * m)), key=lambda i: a[i])
fsum = isum = i2sum = jsum = j2sum = cnt = done = i = 0
while i < n * m:
j = i
tmpf = 0
while j < n * m and a[ind[i]] == a[ind[j]]:
(x, y) = divmod(ind[j], m)
f = (fsum + cnt * (x * x + y * y) + i2sum + j2sum - 2 * (x * isum + y * jsum)) * inv[cnt] % MOD
if ind[j] == s:
done = 1
break
tmpf += f
j += 1
if done:
break
for k in range(i, j):
(x, y) = divmod(ind[k], m)
isum += x
i2sum += x * x
jsum += y
j2sum += y * y
fsum = (fsum + tmpf) % MOD
cnt += j - i
i = j
print(f)
``` | vfc_136059 | {
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1042/E",
"time_limit": "3.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 3\n2 0 1\n1 0 0\n0 0 0\n1 1\n",
"output": "499122181\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "13 8\n5 7 7 7 9 1 10 7\n2 10 5 4 5 4 9 1\n8 6 10 8 10 9 9 5\n7 10 9 8 6 7 5 8\n1 6 4 2 4 9 3 10\n10 4 4 6 5 6 6 4\n7 5 3 9 8 5 1 3\n9 6 1 9 10 5 3 7\n6 3 7 6 9 9 1 6\n8 6 5 9 1 9 2 1\n1 8 2 8 9 7 3 3\n7 2 2 4 4 6 7 10\n7 8 6 10 2 6 10 9\n1 6\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "13 8\n3 2 1 4 8 2 5 9\n8 2 10 8 9 3 2 8\n3 6 8 3 10 7 6 4\n4 2 10 5 7 5 1 3\n10 9 3 6 4 10 10 2\n10 3 7 1 4 5 7 10\n5 3 1 6 1 10 3 6\n10 7 6 8 1 8 4 1\n7 8 1 10 8 5 3 6\n3 8 10 6 7 6 5 5\n1 5 9 8 4 8 5 10\n6 9 10 7 5 5 5 4\n3 9 2 4 8 2 5 4\n8 1\n",
"output": "30996741\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1515/D | Solve the following coding problem using the programming language python:
To satisfy his love of matching socks, Phoenix has brought his $n$ socks ($n$ is even) to the sock store. Each of his socks has a color $c_i$ and is either a left sock or right sock.
Phoenix can pay one dollar to the sock store to either:
recolor a sock to any color $c'$ $(1 \le c' \le n)$
turn a left sock into a right sock
turn a right sock into a left sock
The sock store may perform each of these changes any number of times. Note that the color of a left sock doesn't change when it turns into a right sock, and vice versa.
A matching pair of socks is a left and right sock with the same color. What is the minimum cost for Phoenix to make $n/2$ matching pairs? Each sock must be included in exactly one matching pair.
-----Input-----
The input consists of multiple test cases. The first line contains an integer $t$ ($1 \le t \le 1000$) β the number of test cases.
The first line of each test case contains three integers $n$, $l$, and $r$ ($2 \le n \le 2 \cdot 10^5$; $n$ is even; $0 \le l, r \le n$; $l+r=n$) β the total number of socks, and the number of left and right socks, respectively.
The next line contains $n$ integers $c_i$ ($1 \le c_i \le n$) β the colors of the socks. The first $l$ socks are left socks, while the next $r$ socks are right socks.
It is guaranteed that the sum of $n$ across all the test cases will not exceed $2 \cdot 10^5$.
-----Output-----
For each test case, print one integer β the minimum cost for Phoenix to make $n/2$ matching pairs. Each sock must be included in exactly one matching pair.
-----Examples-----
Input
4
6 3 3
1 2 3 2 2 2
6 2 4
1 1 2 2 2 2
6 5 1
6 5 4 3 2 1
4 0 4
4 4 4 3
Output
2
3
5
3
-----Note-----
In the first test case, Phoenix can pay $2$ dollars to:
recolor sock $1$ to color $2$
recolor sock $3$ to color $2$
There are now $3$ matching pairs. For example, pairs $(1, 4)$, $(2, 5)$, and $(3, 6)$ are matching.
In the second test case, Phoenix can pay $3$ dollars to:
turn sock $6$ from a right sock to a left sock
recolor sock $3$ to color $1$
recolor sock $4$ to color $1$
There are now $3$ matching pairs. For example, pairs $(1, 3)$, $(2, 4)$, and $(5, 6)$ are matching.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
input = sys.stdin.readline
def inI():
inputLine = input().split()
return int(inputLine[0]) if len(inputLine) == 1 else map(int, inputLine)
def inIL():
return list(map(int, input().split()))
def inCL():
return list(input())[:-1]
def out(*liste):
if isinstance(liste[0], list):
liste = liste[0]
for element in liste:
print(element, end=' ')
print()
t = inI()
for it in range(t):
(n, l, r) = inI()
socks = inIL()
(left, right) = (socks[:l], socks[l:])
if l < r:
(left, right) = (right, left)
(r, l) = (l, r)
nbleft = [0] * (n + 1)
sumleft = l
nbright = [0] * (n + 1)
sumright = r
for color in left:
nbleft[color] += 1
for color in right:
nbright[color] += 1
for color in range(1, n + 1):
paired = min(nbleft[color], nbright[color])
nbleft[color] -= paired
sumleft -= paired
nbright[color] -= paired
sumright -= paired
nbop = 0
for color in range(1, n + 1):
if sumleft <= sumright:
break
switch = min(nbleft[color] // 2, (sumleft - sumright) // 2)
nbop += switch
nbleft[color] -= 2 * switch
sumleft -= 2 * switch
nbop += sumleft
print(nbop)
``` | vfc_136075 | {
"difficulty": "medium",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1515/D",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n6 3 3\n1 2 3 2 2 2\n6 2 4\n1 1 2 2 2 2\n6 5 1\n6 5 4 3 2 1\n4 0 4\n4 4 4 3\n",
"output": "2\n3\n5\n3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n6 3 3\n1 2 6 2 2 2\n6 2 4\n1 1 2 2 2 2\n6 5 1\n6 5 4 3 2 1\n4 0 4\n4 4 4 3\n",
"output": "2\n3\n5\n3\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
In the good old Hachioji railroad station located in the west of Tokyo, there are several parking lines, and lots of freight trains come and go every day.
All freight trains travel at night, so these trains containing various types of cars are settled in your parking lines early in the morning. Then, during the daytime, you must reorganize cars in these trains according to the request of the railroad clients, so that every line contains the βrightβ train, i.e. the right number of cars of the right types, in the right order.
As shown in Figure 7, all parking lines run in the East-West direction. There are exchange lines connecting them through which you can move cars. An exchange line connects two ends of different parking lines. Note that an end of a parking line can be connected to many ends of other lines. Also note that an exchange line may connect the East-end of a parking line and the West-end of another.
<image>
Cars of the same type are not discriminated between each other. The cars are symmetric, so directions of cars donβt matter either.
You can divide a train at an arbitrary position to make two sub-trains and move one of them through an exchange line connected to the end of its side. Alternatively, you may move a whole train as is without dividing it. Anyway, when a (sub-) train arrives at the destination parking line and the line already has another train in it, they are coupled to form a longer train.
Your superautomatic train organization system can do these without any help of locomotive engines. Due to the limitation of the system, trains cannot stay on exchange lines; when you start moving a (sub-) train, it must arrive at the destination parking line before moving another train.
In what follows, a letter represents a car type and a train is expressed as a sequence of letters. For example in Figure 8, from an initial state having a train "aabbccdee" on line 0 and no trains on other lines, you can make "bbaadeecc" on line 2 with the four moves shown in the figure.
<image>
To cut the cost out, your boss wants to minimize the number of (sub-) train movements. For example, in the case of Figure 8, the number of movements is 4 and this is the minimum.
Given the configurations of the train cars in the morning (arrival state) and evening (departure state), your job is to write a program to find the optimal train reconfiguration plan.
Input
The input consists of one or more datasets. A dataset has the following format:
x y
p1 P1 q1 Q1
p2 P2 q2 Q2
.
.
.
py Py qy Qy
s0
s1
.
.
.
sx-1
t0
t1
.
.
.
tx-1
x is the number of parking lines, which are numbered from 0 to x-1. y is the number of exchange lines. Then y lines of the exchange line data follow, each describing two ends connected by the exchange line; pi and qi are integers between 0 and x - 1 which indicate parking line numbers, and Pi and Qi are either "E" (East) or "W" (West) which indicate the ends of the parking lines.
Then x lines of the arrival (initial) configuration data, s0, ... , sx-1, and x lines of the departure (target) configuration data, t0, ... tx-1, follow. Each of these lines contains one or more lowercase letters "a", "b", ..., "z", which indicate types of cars of the train in the corresponding parking line, in west to east order, or alternatively, a single "-" when the parking line is empty.
You may assume that x does not exceed 4, the total number of cars contained in all the trains does not exceed 10, and every parking line has sufficient length to park all the cars.
You may also assume that each dataset has at least one solution and that the minimum number of moves is between one and six, inclusive.
Two zeros in a line indicate the end of the input.
Output
For each dataset, output the number of moves for an optimal reconfiguration plan, in a separate line.
Example
Input
3 5
0W 1W
0W 2W
0W 2E
0E 1E
1E 2E
aabbccdee
-
-
-
-
bbaadeecc
3 3
0E 1W
1E 2W
2E 0W
aabb
bbcc
aa
bbbb
cc
aaaa
3 4
0E 1W
0E 2E
1E 2W
2E 0W
ababab
-
-
aaabbb
-
-
0 0
Output
4
2
5
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def solve(file_input, x, y):
exch1 = []
exch2 = []
exch3 = []
for i in range(y):
(p, P, space, q, Q) = file_input.readline().rstrip()
p = int(p)
q = int(q)
if P == 'E':
if Q == 'W':
exch1.append((p, q))
else:
exch2.append((p, q))
elif Q == 'E':
exch1.append((q, p))
else:
exch3.append((q, p))
fwd_init = []
for i in range(x):
s = file_input.readline().rstrip()
if s == '-':
fwd_init.append('')
else:
fwd_init.append(s)
fwd_rec = {'|'.join(fwd_init): 0}
forwrad = [fwd_init]
bk_init = []
for i in range(x):
t = file_input.readline().rstrip()
if t == '-':
bk_init.append('')
else:
bk_init.append(t)
bk_rec = {'|'.join(bk_init): 0}
backward = [bk_init]
for step in range(1, 4):
tmp_forward = []
for trains in forwrad:
for (l1, l2) in exch1:
tmp_trains = trains[:]
coupled = trains[l1] + trains[l2]
for i in range(len(coupled) + 1):
tmp_trains[l1] = coupled[:i]
tmp_trains[l2] = coupled[i:]
tmp_state = '|'.join(tmp_trains)
if tmp_state not in fwd_rec:
if tmp_state in bk_rec:
return bk_rec[tmp_state] + step
fwd_rec[tmp_state] = step
tmp_forward.append(tmp_trains[:])
for (l1, l2) in exch2:
tmp_trains = trains[:]
coupled = trains[l1] + trains[l2][::-1]
for i in range(len(coupled) + 1):
tmp_trains[l1] = coupled[:i]
tmp_trains[l2] = coupled[i:][::-1]
tmp_state = '|'.join(tmp_trains)
if tmp_state not in fwd_rec:
if tmp_state in bk_rec:
return bk_rec[tmp_state] + step
fwd_rec[tmp_state] = step
tmp_forward.append(tmp_trains[:])
for (l1, l2) in exch3:
tmp_trains = trains[:]
coupled = trains[l1][::-1] + trains[l2]
for i in range(len(coupled) + 1):
tmp_trains[l1] = coupled[:i][::-1]
tmp_trains[l2] = coupled[i:]
tmp_state = '|'.join(tmp_trains)
if tmp_state not in fwd_rec:
if tmp_state in bk_rec:
return bk_rec[tmp_state] + step
fwd_rec[tmp_state] = step
tmp_forward.append(tmp_trains[:])
forwrad = tmp_forward
if step == 3:
return 6
tmp_backward = []
for trains in backward:
for (l1, l2) in exch1:
tmp_trains = trains[:]
coupled = trains[l1] + trains[l2]
for i in range(len(coupled) + 1):
tmp_trains[l1] = coupled[:i]
tmp_trains[l2] = coupled[i:]
tmp_state = '|'.join(tmp_trains)
if tmp_state not in bk_rec:
if tmp_state in fwd_rec:
return fwd_rec[tmp_state] + step
bk_rec[tmp_state] = step
tmp_backward.append(tmp_trains[:])
for (l1, l2) in exch2:
tmp_trains = trains[:]
coupled = trains[l1] + trains[l2][::-1]
for i in range(len(coupled) + 1):
tmp_trains[l1] = coupled[:i]
tmp_trains[l2] = coupled[i:][::-1]
tmp_state = '|'.join(tmp_trains)
if tmp_state not in bk_rec:
if tmp_state in fwd_rec:
return fwd_rec[tmp_state] + step
bk_rec[tmp_state] = step
tmp_backward.append(tmp_trains[:])
for (l1, l2) in exch3:
tmp_trains = trains[:]
coupled = trains[l1][::-1] + trains[l2]
for i in range(len(coupled) + 1):
tmp_trains[l1] = coupled[:i][::-1]
tmp_trains[l2] = coupled[i:]
tmp_state = '|'.join(tmp_trains)
if tmp_state not in bk_rec:
if tmp_state in fwd_rec:
return fwd_rec[tmp_state] + step
bk_rec[tmp_state] = step
tmp_backward.append(tmp_trains[:])
backward = tmp_backward
def main():
from sys import stdin
f_i = stdin
while True:
(x, y) = map(int, f_i.readline().split())
if x == 0:
break
print(solve(f_i, x, y))
main()
``` | vfc_136081 | {
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "8.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 5\n0W 1W\n0W 2W\n0W 2E\n0E 1E\n1E 2E\naabbcdcee\n-\n-\n-\n-\nbbaadeecc\n3 3\n0E 1W\n1E 2W\n2E 0W\naabb\nbbcc\naa\nbbbb\ncc\naaaa\n3 4\n0E 1W\n0E 2E\n1E 2W\n2E 0W\nababab\n-\n-\naaabbb\n-\n-\n0 0",
"output": "5\n2\n5\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/529/D | Solve the following coding problem using the programming language python:
Polycarpus got an internship in one well-known social network. His test task is to count the number of unique users who have visited a social network during the day. Polycarpus was provided with information on all user requests for this time period. For each query, we know its time... and nothing else, because Polycarpus has already accidentally removed the user IDs corresponding to the requests from the database. Thus, it is now impossible to determine whether any two requests are made by the same person or by different people.
But wait, something is still known, because that day a record was achieved β M simultaneous users online! In addition, Polycarpus believes that if a user made a request at second s, then he was online for T seconds after that, that is, at seconds s, s + 1, s + 2, ..., s + T - 1. So, the user's time online can be calculated as the union of time intervals of the form [s, s + T - 1] over all times s of requests from him.
Guided by these thoughts, Polycarpus wants to assign a user ID to each request so that:
* the number of different users online did not exceed M at any moment,
* at some second the number of distinct users online reached value M,
* the total number of users (the number of distinct identifiers) was as much as possible.
Help Polycarpus cope with the test.
Input
The first line contains three integers n, M and T (1 β€ n, M β€ 20 000, 1 β€ T β€ 86400) β the number of queries, the record number of online users and the time when the user was online after a query was sent. Next n lines contain the times of the queries in the format "hh:mm:ss", where hh are hours, mm are minutes, ss are seconds. The times of the queries follow in the non-decreasing order, some of them can coincide. It is guaranteed that all the times and even all the segments of type [s, s + T - 1] are within one 24-hour range (from 00:00:00 to 23:59:59).
Output
In the first line print number R β the largest possible number of distinct users. The following n lines should contain the user IDs for requests in the same order in which the requests are given in the input. User IDs must be integers from 1 to R. The requests of the same user must correspond to the same identifiers, the requests of distinct users must correspond to distinct identifiers. If there are multiple solutions, print any of them. If there is no solution, print "No solution" (without the quotes).
Examples
Input
4 2 10
17:05:53
17:05:58
17:06:01
22:39:47
Output
3
1
2
2
3
Input
1 2 86400
00:00:00
Output
No solution
Note
Consider the first sample. The user who sent the first request was online from 17:05:53 to 17:06:02, the user who sent the second request was online from 17:05:58 to 17:06:07, the user who sent the third request, was online from 17:06:01 to 17:06:10. Thus, these IDs cannot belong to three distinct users, because in that case all these users would be online, for example, at 17:06:01. That is impossible, because M = 2. That means that some two of these queries belonged to the same user. One of the correct variants is given in the answer to the sample. For it user 1 was online from 17:05:53 to 17:06:02, user 2 β from 17:05:58 to 17:06:10 (he sent the second and third queries), user 3 β from 22:39:47 to 22:39:56.
In the second sample there is only one query. So, only one user visited the network within the 24-hour period and there couldn't be two users online on the network simultaneously. (The time the user spent online is the union of time intervals for requests, so users who didn't send requests could not be online in the network.)
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def main():
mode = 'filee'
if mode == 'file':
f = open('test.txt', 'r')
get = lambda : [int(x) for x in (f.readline() if mode == 'file' else input()).split()]
gets = lambda : [str(x) for x in (f.readline()[:-1] if mode == 'file' else input()).split(':')]
[n, m, t] = get()
a = [0] * 20002
b = [0] * 20002
if n < m:
print('No solution')
return
for i in range(1, 1 + n):
g = gets()
a[i] = int(g[-1]) + int(g[1]) * 60 + int(g[0]) * 3600
[p, count, sim] = [1, 0, 0]
is_solution_there = False
for i in range(1, n + 1):
while p < i and a[i] - t + 1 > a[p]:
p += 1
if b[p] != b[p - 1]:
sim = max(sim - 1, 0)
if a[i] < a[p] + t and sim < m:
count += 1
sim += 1
if sim == m:
is_solution_there = True
b[i] = count
if is_solution_there == False:
print('No solution')
return
print(count)
for i in range(1, n + 1):
print(b[i], end=' ')
if mode == 'file':
f.close()
main()
``` | vfc_136085 | {
"difficulty": "hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/529/D",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10 3 30000\n00:06:54\n00:42:06\n03:49:45\n04:38:35\n05:33:30\n05:51:46\n10:46:34\n14:34:59\n14:40:06\n14:53:13\n",
"output": "6\n1\n2\n3\n3\n3\n3\n4\n5\n6\n6\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1 86400\n00:00:00\n",
"output": "1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 2 40000\n06:30:57\n07:27:25\n09:10:21\n11:05:03\n12:42:37\n",
"output": "2\n1\n2\n2\n2\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7 4 30000\n05:08:54\n05:35:53\n06:03:20\n06:17:50\n09:29:46\n11:35:29\n14:49:02\n",
"output": "5\n1\n2\n3\n4\n4\n4\n5\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/WSTRING | Solve the following coding problem using the programming language python:
Kira likes to play with strings very much. Moreover he likes the shape of 'W' very much. He takes a string and try to make a 'W' shape out of it such that each angular point is a '#' character and each sides has same characters. He calls them W strings.
For example, the W string can be formed from "aaaaa#bb#cc#dddd" such as:
a
a d
a # d
a b c d
a b c d
# #
He also call the strings which can generate a 'W' shape (satisfying the above conditions) W strings.
More formally, a string S is a W string if and only if it satisfies the following conditions (some terms and notations are explained in Note, please see it if you cannot understand):
- The string S contains exactly 3 '#' characters. Let the indexes of all '#' be P1 < P2 < P3 (indexes are 0-origin).
- Each substring of S[0, P1β1], S[P1+1, P2β1], S[P2+1, P3β1], S[P3+1, |S|β1] contains exactly one kind of characters, where S[a, b] denotes the non-empty substring from a+1th character to b+1th character, and |S| denotes the length of string S (See Note for details).
Now, his friend Ryuk gives him a string S and asks him to find the length of the longest W string which is a subsequence of S, with only one condition that there must not be any '#' symbols between the positions of the first and the second '#' symbol he chooses, nor between the second and the third (here the "positions" we are looking at are in S), i.e. suppose the index of the '#'s he chooses to make the W string are P1, P2, P3 (in increasing order) in the original string S, then there must be no index i such that S[i] = '#' where P1 < i < P2 or P2 < i < P3.
Help Kira and he won't write your name in the Death Note.
Note:
For a given string S, let S[k] denote the k+1th character of string S, and let the index of the character S[k] be k. Let |S| denote the length of the string S. And a substring of a string S is a string S[a, b] = S[a] S[a+1] ... S[b], where 0 β€ a β€ b < |S|. And a subsequence of a string S is a string S[i0] S[i1] ... S[inβ1], where 0 β€ i0 < i1 < ... < inβ1 < |S|.
For example, let S be the string "kira", then S[0] = 'k', S[1] = 'i', S[3] = 'a', and |S| = 4. All of S[0, 2] = "kir", S[1, 1] = "i", and S[0, 3] = "kira" are substrings of S, but "ik", "kr", and "arik" are not. All of "k", "kr", "kira", "kia" are subsequences of S, but "ik", "kk" are not.
From the above definition of W string, for example, "a#b#c#d", "aaa#yyy#aaa#yy", and "o#oo#ooo#oooo" are W string, but "a#b#c#d#e", "#a#a#a", and "aa##a#a" are not.
-----Input-----
First line of input contains an integer T, denoting the number of test cases. Then T lines follow. Each line contains a string S.
-----Output-----
Output an integer, denoting the length of the longest W string as explained before. If S has no W string as its subsequence, then output 0.
-----Constraints-----
- 1 β€ T β€ 100
- 1 β€ |S| β€ 10000 (104)
- S contains no characters other than lower English characters ('a' to 'z') and '#' (without quotes)
-----Example-----
Input:
3
aaaaa#bb#cc#dddd
acb#aab#bab#accba
abc#dda#bb#bb#aca
Output:
16
10
11
-----Explanation-----
In the first case: the whole string forms a W String.
In the second case: acb#aab#bab#accba, the longest W string is acb#aab#bab#accba
In the third case: abc#dda#bb#bb#aca, note that even though abc#dda#bb#bb#aca (boldened characters form the subsequence) is a W string of length 12, it violates Ryuk's condition that there should not be any #'s inbetween the 3 chosen # positions. One correct string of length 11 is abc#dda#bb#bb#aca
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def frequency(s, n):
f = [[0 for i in range(26)] for j in range(n + 1)]
count = 0
for i in range(n):
if s[i] != '#':
f[count][ord(s[i]) - 97] += 1
else:
count += 1
for j in range(26):
f[count][j] = f[count - 1][j]
return (f, count)
def solve(s):
n = len(s)
(f, count) = frequency(s, n)
if count < 3:
return 0
ans = 0
index = []
for i in range(n - 1, -1, -1):
if s[i] == '#':
index.append(i)
for c in range(1, count - 2 + 1):
if index[-2] == index[-1] + 1 or index[-3] == index[-2] + 1:
index.pop()
continue
left = max(f[c - 1])
mid1 = 0
mid2 = 0
right = 0
for j in range(26):
mid1 = max(mid1, f[c][j] - f[c - 1][j])
mid2 = max(mid2, f[c + 1][j] - f[c][j])
right = max(right, f[count][j] - f[c + 1][j])
if left and mid1 and mid2 and right:
ans = max(ans, left + mid1 + mid2 + right)
index.pop()
return ans
for _ in range(int(input())):
s = input()
ans = solve(s)
if ans:
print(ans + 3)
else:
print(0)
``` | vfc_136089 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/WSTRING",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\naaaaa#bb#cc#dddd\nacb#aab#bab#accba\nabc#dda#bb#bb#aca\n\n\n",
"output": "16\n10\n11\n",
"type": "stdin_stdout"
}
]
} |
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