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taco | verifiable_code | https://www.codechef.com/problems/CCD | Solve the following coding problem using the programming language python:
Chef has 2 strings A and B of equal length N. Both strings contain lowercase english alphabets only.
Chef can perform several moves on string A. In one move, Chef has to:
Select an index i \space (1 ≤ i ≤ N-1).
Replace A[i] with (A[i]+1).
Replace A[i+1] with (A[i+1]+1).
For example, if A = \texttt{abcze}, a valid move would be to select index 3. This way the string becomes \texttt{abdae} after performing the move. Note that the value at an index is cyclically incremented. This means that, \texttt{a} \rightarrow \texttt{b}, \texttt{b} \rightarrow \texttt{c}, \ldots, \texttt{z} \rightarrow \texttt{a}.
Chef has been asked to answer Q queries. Each query is of the form:
L R: Given 1 ≤ L ≤ R ≤ N, Chef wants to know if it is possible to convert the substring A[L, R] to B[L, R] by performing the above mentioned move any number of times.
For each query, output in a single line \texttt{Yes}, if the conversion is possible using any number of moves. Otherwise, print \texttt{No}.
NOTE: Queries are independent. Thus, the original strings A and B would be retained to process next query. For each query solve for substrings A[L,R] and B[L,R] only. So valid values for i will be among L to R - 1 only.
------ Input Format ------
- The first line will contain T - the number of test cases. Then the test cases follow.
- First line of each test case contains two integers N, Q.
- Second line of each test case contains string A.
- Third line of each test case contains string B.
- Q lines follow, where the i^{th} line contains two integers L_{i} R_{i} - the i^{th} query.
------ Output Format ------
Output Q lines, where the i^{th} line contains the answer to the i^{th} query. The answer is \texttt{Yes}, if the conversion is possible using any number of moves. Otherwise, the answer is \texttt{No}.
You may print each character of the string in uppercase or lowercase (for example, the strings \texttt{yEs}, \texttt{yes}, \texttt{Yes} and \texttt{YES} will all be treated as identical).
------ Constraints ------
$1 ≤ T ≤ 1000$
$2 ≤ N ≤ 10^{5}$
$1 ≤ Q ≤ 2\cdot 10^{5}$
$1 ≤ L ≤R ≤N$
- Sum of $N$ over all test cases does not exceed $2 \cdot 10^{5}$.
- Sum of $Q$ over all test cases does not exceed $2 \cdot 10^{5}$.
----- Sample Input 1 ------
1
5 3
abcdz
nbhea
2 2
1 3
4 5
----- Sample Output 1 ------
Yes
No
Yes
----- explanation 1 ------
Test Case $1$:
- For the first query, the substring $A[2,2] = \texttt{b}$ is already same as $B[2,2] = \texttt{b}$. Thus, the answer is $\texttt{Yes}$.
- For the second query, it can be proven that the substring $A[1,3]$ can never be made equal to $B[1,3]$ using any number of moves.
- For the third query, the substring $A[4,5] = \texttt{dz}$ and $B[4,5] = \texttt{ea}$. Applying the move on index $4$, we get $A[4] = \texttt{e}$ and $A[5] = \texttt{a}$. Hence, after one move, $A[4,5] = B[4,5]$. Thus, the answer is $\texttt{Yes}$ in this case.
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):
(n, q) = map(int, input().split())
a = list(input())
b = list(input())
alt_sum = [0] * n
for i in range(n):
k = (ord(b[i]) - ord(a[i])) % 26
if i == 0:
alt_sum[i] = k
continue
if i % 2 == 0:
alt_sum[i] = k + alt_sum[i - 1]
else:
alt_sum[i] = -k + alt_sum[i - 1]
for i in range(q):
(l, r) = map(int, input().split())
l -= 1
r -= 1
if l == 0 and alt_sum[r] % 26 == 0 or (l != 0 and (alt_sum[r] - alt_sum[l - 1]) % 26 == 0):
print('Yes')
else:
print('No')
``` | vfc_142780 | {
"difficulty": "hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CCD",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n5 3\nabcdz\nnbhea\n2 2\n1 3\n4 5\n",
"output": "Yes\nNo\nYes\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/893/D | Solve the following coding problem using the programming language python:
Recenlty Luba got a credit card and started to use it. Let's consider n consecutive days Luba uses the card.
She starts with 0 money on her account.
In the evening of i-th day a transaction a_{i} occurs. If a_{i} > 0, then a_{i} bourles are deposited to Luba's account. If a_{i} < 0, then a_{i} bourles are withdrawn. And if a_{i} = 0, then the amount of money on Luba's account is checked.
In the morning of any of n days Luba can go to the bank and deposit any positive integer amount of burles to her account. But there is a limitation: the amount of money on the account can never exceed d.
It can happen that the amount of money goes greater than d by some transaction in the evening. In this case answer will be «-1».
Luba must not exceed this limit, and also she wants that every day her account is checked (the days when a_{i} = 0) the amount of money on her account is non-negative. It takes a lot of time to go to the bank, so Luba wants to know the minimum number of days she needs to deposit some money to her account (if it is possible to meet all the requirements). Help her!
-----Input-----
The first line contains two integers n, d (1 ≤ n ≤ 10^5, 1 ≤ d ≤ 10^9) —the number of days and the money limitation.
The second line contains n integer numbers a_1, a_2, ... a_{n} ( - 10^4 ≤ a_{i} ≤ 10^4), where a_{i} represents the transaction in i-th day.
-----Output-----
Print -1 if Luba cannot deposit the money to her account in such a way that the requirements are met. Otherwise print the minimum number of days Luba has to deposit money.
-----Examples-----
Input
5 10
-1 5 0 -5 3
Output
0
Input
3 4
-10 0 20
Output
-1
Input
5 10
-5 0 10 -11 0
Output
2
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(n, d) = map(int, input().split())
a = [0] + list(map(int, input().split()))
b = [0] * (n + 2)
b[n] = a[n]
now = a[n]
for i in range(n - 1, 0, -1):
now = a[i] + max(now, 0)
b[i] = now
now = 0
res = 0
for i in range(1, n + 1):
if a[i] == 0:
if now < 0:
res += 1
now = min(d, max(0, d - b[i + 1]))
else:
now += a[i]
if now > d:
res = -1
break
print(res)
``` | vfc_142784 | {
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/893/D",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 10\n-1 5 0 -5 3\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 4\n-10 0 20\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 10\n-5 0 10 -11 0\n",
"output": "2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1534/F1 | Solve the following coding problem using the programming language python:
This is the easy version of the problem. The difference between the versions is the constraints on a_i. You can make hacks only if all versions of the problem are solved.
Little Dormi has recently received a puzzle from his friend and needs your help to solve it.
The puzzle consists of an upright board with n rows and m columns of cells, some empty and some filled with blocks of sand, and m non-negative integers a_1,a_2,…,a_m (0 ≤ a_i ≤ n). In this version of the problem, a_i will be equal to the number of blocks of sand in column i.
When a cell filled with a block of sand is disturbed, the block of sand will fall from its cell to the sand counter at the bottom of the column (each column has a sand counter). While a block of sand is falling, other blocks of sand that are adjacent at any point to the falling block of sand will also be disturbed and start to fall. Specifically, a block of sand disturbed at a cell (i,j) will pass through all cells below and including the cell (i,j) within the column, disturbing all adjacent cells along the way. Here, the cells adjacent to a cell (i,j) are defined as (i-1,j), (i,j-1), (i+1,j), and (i,j+1) (if they are within the grid). Note that the newly falling blocks can disturb other blocks.
In one operation you are able to disturb any piece of sand. The puzzle is solved when there are at least a_i blocks of sand counted in the i-th sand counter for each column from 1 to m.
You are now tasked with finding the minimum amount of operations in order to solve the puzzle. Note that Little Dormi will never give you a puzzle that is impossible to solve.
Input
The first line consists of two space-separated positive integers n and m (1 ≤ n ⋅ m ≤ 400 000).
Each of the next n lines contains m characters, describing each row of the board. If a character on a line is '.', the corresponding cell is empty. If it is '#', the cell contains a block of sand.
The final line contains m non-negative integers a_1,a_2,…,a_m (0 ≤ a_i ≤ n) — the minimum amount of blocks of sand that needs to fall below the board in each column. In this version of the problem, a_i will be equal to the number of blocks of sand in column i.
Output
Print one non-negative integer, the minimum amount of operations needed to solve the puzzle.
Examples
Input
5 7
#....#.
.#.#...
#....#.
#....##
#.#....
4 1 1 1 0 3 1
Output
3
Input
3 3
#.#
#..
##.
3 1 1
Output
1
Note
For example 1, by disturbing both blocks of sand on the first row from the top at the first and sixth columns from the left, and the block of sand on the second row from the top and the fourth column from the left, it is possible to have all the required amounts of sand fall in each column. It can be proved that this is not possible with fewer than 3 operations, and as such the answer is 3. Here is the puzzle from the first example.
<image>
For example 2, by disturbing the cell on the top row and rightmost column, one can cause all of the blocks of sand in the board to fall into the counters at the bottom. Thus, the answer is 1. Here is the puzzle from the second example.
<image>
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 = lambda : sys.stdin.readline().rstrip()
def scc(E):
n = len(E)
iE = [[] for _ in range(n)]
for (i, e) in enumerate(E):
for v in e:
iE[v].append(i)
T = []
done = [0] * n
ct = 0
for i0 in range(n):
if done[i0]:
continue
Q = [~i0, i0]
while Q:
i = Q.pop()
if i < 0:
if done[~i] == 2:
continue
done[~i] = 2
T.append(~i)
ct += 1
continue
if i >= 0:
if done[i]:
continue
done[i] = 1
for j in E[i]:
if done[j]:
continue
Q.append(~j)
Q.append(j)
done = [0] * n
SCC = []
I = [0] * n
for i0 in T[::-1]:
if done[i0]:
continue
L = []
Q = [~i0, i0]
while Q:
i = Q.pop()
if i < 0:
if done[~i] == 2:
continue
done[~i] = 2
L.append(~i)
I[~i] = len(SCC)
continue
if i >= 0:
if done[i]:
continue
done[i] = 1
for j in iE[i]:
if done[j]:
continue
Q.append(~j)
Q.append(j)
SCC.append(L)
ciE = [1] * len(SCC)
for (i, e) in enumerate(E):
for j in e:
if I[i] == I[j]:
continue
ciE[I[j]] = 0
return ciE
(N, M) = map(int, input().split())
Z = [[1 if a == '#' else 0 for a in input()] for _ in range(N)]
su = sum([int(a) for a in input().split()])
I = []
ZZ = [[-1] * M for _ in range(N)]
for j in range(M):
for i in range(N)[::-1]:
if Z[i][j]:
ZZ[i][j] = len(I)
I.append(i << 20 ^ j)
elif i < N - 1:
ZZ[i][j] = ZZ[i + 1][j]
mmm = (1 << 20) - 1
E = [[] for _ in range(su)]
for k in range(su):
ij = I[k]
i = ij >> 20
j = ij & mmm
if i < N - 1 and ZZ[i + 1][j] >= 0:
E[k].append(ZZ[i + 1][j])
if i and Z[i - 1][j]:
E[k].append(ZZ[i - 1][j])
if j and ZZ[i][j - 1] >= 0:
E[k].append(ZZ[i][j - 1])
if j < M - 1 and ZZ[i][j + 1] >= 0:
E[k].append(ZZ[i][j + 1])
ciE = scc(E)
print(sum(ciE))
``` | vfc_142788 | {
"difficulty": "unknown_difficulty",
"memory_limit": "512.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1534/F1",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 6\n..#..#\n......\n#####.\n1 1 2 1 1 1\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 10\n#..###..##\n...#..###.\n.###..##..\n1 1 1 3 1 1 2 2 2 1\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1\n.\n0\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1\n#\n1\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 3\n#.#\n#..\n##.\n2 1 1\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/check-squares2421/1 | Solve the following coding problem using the programming language python:
Given an integer N, check if it is possible to represent it as a function(a, b) such that : a^{2} + b^{2} = N where "a" and "b" are whole numbers. Print 1 if it's possible, else Print 0.
Example 1:
Input:
N = 1
Output:
1
Explanation:
1^{2} + 0^{2} = 1. So, the Output is 1
Example 2:
Input:
N = 2
Output:
1
Explanation:
1^{2} + 1^{2} = 2. So, the Output is 1
Example 3:
Input:
N = 7
Output:
0
Explanation:
We don't have a or b, which when summed
after squaring gives 7. So, Output is 0.
Your Task:
You don't need to read input or print anything. Your task is to complete the function checkSquares() which takes an Integer N as input and returns the answer.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)
Constraints:
1 <= N <= 10^{6}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def checkSquares(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
import math
class Solution:
def checkSquares(self, N):
flag = 0
for a in range(int(math.sqrt(N)) + 1):
for b in range(int(math.sqrt(N)) + 1):
if a * a + b * b == N:
flag = 1
break
if flag == 1:
break
return flag
``` | vfc_142792 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/check-squares2421/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 1",
"output": "1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 2",
"output": "1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/deque-implementations/1 | Solve the following coding problem using the programming language python:
A deque is a double-ended queue that allows enqueue and dequeue operations from both the ends.
Given a deque and Q queries. The task is to perform some operation on dequeue according to the queries as given below:
1. pb: query to push back the element x.
2. pf: query to push element x(given with query) to the front of the deque.
3. pp_b(): query to delete element from the back of the deque.
4. f: query to return a front element from the deque.
Example 1:
Input:
5
pf 5
pf 10
pb 6
f
pp_b
Output:
10
Explanation:
1. After push front deque will be {5}
2. After push front deque will be {10, 5}
3. After push back deque will be {10, 5, 6}
4. Return front element which is 10
5. After pop back deque will be {10, 5}
Example 2:
Input:
2
pf 5
f
Output:
5
Explanation:
1. After push front deque will be {5}
2. Return front element which is 5
Your Task:
Your task is to complete the following functions:
push_back_pb(): Push back the given element and then driver code prints that element.
push_front_pf(): Push front the given element and then driver code prints that element.
pop_back_ppb(): Pop the back element (if exists) and then the driver code prints the size of the deque.
front_dq(): Return the front elements if it exists, else return -1. The driver code prints the return value.
Expected Time Complexity: O(1)
Expected Auxilliary Space: O(1)
Constraints:
1 ≤ Number of queries ≤ 10^{5}
^{*Note:}^{ Ouput is also printed after every method call, see the driver code.}
Write your solution by modifying this code:
```python
#User function Template for python3
#dq : deque in which element is to be pushed
#x : element to be pushed
#Function to push element x to the front of the deque.
def push_front_pf(dq,x):
#code here
#Function to push element x to the back of the deque.
def push_back_pb(dq,x):
#code here
#Function to return element from front of the deque.
def front_dq(dq):
#code here
#Function to pop element from back of the deque.
def pop_back_ppb(dq):
#code here
```
Your solution should implemented in the function "push_front_pf". The inputs will be passed to it and it should return the correct solution.
Now solve the problem and return the code. | ```python
def push_front_pf(dq, x):
dq.appendleft(x)
def push_back_pb(dq, x):
dq.append(x)
def front_dq(dq):
if not dq:
return -1
return dq[0]
def pop_back_ppb(dq):
if not dq:
return -1
return dq.pop()
``` | vfc_142794 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/deque-implementations/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": "push_front_pf",
"input": "5\npf 5\npf 10\npb 6\nf\npp_b",
"output": "10",
"type": "function_call"
},
{
"fn_name": "push_front_pf",
"input": "2\npf 5 \nf",
"output": "5",
"type": "function_call"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/SUMOFPROD2 | Solve the following coding problem using the programming language python:
For an array A of length N, let F(A) denote the sum of the product of all the subarrays of A. Formally,
F(A) = \sum_{L=1}^N \sum_{R=L}^N (\prod_{i=L}^R A_{i}\right )
For example, let A = [1, 0, 1], then there are 6 possible subarrays:
Subarray [1, 1] has product = 1
Subarray [1, 2] has product = 0
Subarray [1, 3] has product = 0
Subarray [2, 2] has product = 0
Subarray [2, 3] has product = 0
Subarray [3, 3] has product = 1
So F(A) = 1+1 = 2.
Given a binary array A, determine the sum of F(A) over all the N! orderings of A modulo 998244353.
Note that orderings here are defined in terms of indices, not elements; which is why every array of length N has N! orderings. For example, the 3! = 6 orderings of A = [1, 0, 1] are:
[1, 0, 1] corresponding to indices [1, 2, 3]
[1, 1, 0] corresponding to indices [1, 3, 2]
[0, 1, 1] corresponding to indices [2, 1, 3]
[0, 1, 1] corresponding to indices [2, 3, 1]
[1, 1, 0] corresponding to indices [3, 1, 2]
[1, 0, 1] corresponding to indices [3, 2, 1]
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- Each test case consists of multiple lines of input.
- The first line of each test case contains a single integer N denoting the le
- The second line contains N space-separated integers denoting the array A.
------ Output Format ------
For each test case, output the sum of F(A) over all the N! orderings of A, modulo 998244353.
------ Constraints ------
$1 ≤ T ≤ 1000$
$1 ≤ N ≤ 10^{5}$
$0 ≤ A_{i} ≤ 1$
- The sum of $N$ over all test cases won't exceed $2 \cdot 10^{5}$.
----- Sample Input 1 ------
4
3
1 0 1
1
0
2
1 1
4
1 1 0 1
----- Sample Output 1 ------
16
0
6
120
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
MOD = 998244353
cpraid1 = [1] * 100001
cpraid2 = [1] * 100001
cpraid3 = [1] * 100001
for i in range(2, 100001):
cpraid1[i] = cpraid1[i - 1] * i % MOD
cpraid2[i] = MOD - MOD // i * cpraid2[MOD % i] % MOD
cpraid3[i] = cpraid3[i - 1] * cpraid2[i] % MOD
def C(x, y):
return 0 if x < 0 or y > x else cpraid1[x] * cpraid3[y] * cpraid3[x - y] % MOD
T = int(input())
for i in range(T):
(N, K) = (int(input()), 0)
cpraid = list(map(int, input().split()))
c = cpraid.count(0)
for i in range(N - c + 1):
K += i * C(N - i, c) % MOD
ans = K * (c + 1) * cpraid1[N - c] * cpraid1[c] % MOD
print(ans)
``` | vfc_142797 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/SUMOFPROD2",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n3\n1 0 1\n1\n0\n2\n1 1\n4\n1 1 0 1\n",
"output": "16\n0\n6\n120\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.hackerrank.com/challenges/runningtime/problem | Solve the following coding problem using the programming language python:
In a previous challenge you implemented the Insertion Sort algorithm. It is a simple sorting algorithm that works well with small or mostly sorted data. However, it takes a long time to sort large unsorted data. To see why, we will analyze its running time.
Running Time of Algorithms
The running time of an algorithm for a specific input depends on the number of operations executed. The greater the number of operations, the longer the running time of an algorithm. We usually want to know how many operations an algorithm will execute in proportion to the size of its input, which we will call $unrecognized$.
What is the ratio of the running time of Insertion Sort to the size of the input? To answer this question, we need to examine the algorithm.
Analysis of Insertion Sort
For each element $unrecognized$ in an array of $unrecognized$ numbers, Insertion Sort compares the number to those to its left until it reaches a lower value element or the start. At that point it shifts everything to the right up one and inserts $unrecognized$ into the array.
How long does all that shifting take?
In the best case, where the array was already sorted, no element will need to be moved, so the algorithm will just run through the array once and return the sorted array. The running time would be directly proportional to the size of the input, so we can say it will take $unrecognized$ time.
However, we usually focus on the worst-case running time (computer scientists are pretty pessimistic). The worst case for Insertion Sort occurs when the array is in reverse order. To insert each number, the algorithm will have to shift over that number to the beginning of the array. Sorting the entire array of $unrecognized$ numbers will therefore take $unrecognized$ operations, which is $unrecognized$ (almost $unrecognized$$unrecognized$$unrecognized$). Computer scientists just round that up (pick the dominant term) to $unrecognized$$unrecognized$ and say that Insertion Sort is an "$unrecognized$$unrecognized$ time" algorithm.
What this means
The running time of the algorithm against an array of $unrecognized$ elements is $unrecognized$$unrecognized$. For $unrecognized$ elements, it will be $unrecognized$$unrecognized$. Insertion Sort can work well for small inputs or if you know the data is likely to be nearly sorted, like check numbers as they are received by a bank. The running time becomes unreasonable for larger inputs.
Challenge
Can you modify your previous Insertion Sort implementation to keep track of the number of shifts it makes while sorting? The only thing you should print is the number of shifts made by the algorithm to completely sort the array. A shift occurs when an element's position changes in the array. Do not shift an element if it is not necessary.
Function Description
Complete the runningTime function in the editor below.
runningTime has the following parameter(s):
int arr[n]: an array of integers
Returns
int: the number of shifts it will take to sort the array
Input Format
The first line contains the integer $unrecognized$, the number of elements to be sorted.
The next line contains $unrecognized$ integers of $unrecognized$.
Constraints
$unrecognized$
$unrecognized$
Sample Input
STDIN Function
----- --------
5 arr[] size n =5
2 1 3 1 2 arr = [2, 1, 3, 1, 2]
Sample Output
4
Explanation
Iteration Array Shifts
0 2 1 3 1 2
1 1 2 3 1 2 1
2 1 2 3 1 2 0
3 1 1 2 3 2 2
4 1 1 2 2 3 1
Total 4
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
size = int(input())
array = input().split(' ')
arr = ['None'] * size
for i in range(size):
arr[i] = int(array[i])
i = 1
count = 0
while i < size:
tmp = arr[i]
j = i - 1
while arr[j] > tmp and j > -1:
arr[j + 1] = arr[j]
j = j - 1
count = count + 1
arr[j + 1] = tmp
i = i + 1
print(count)
``` | vfc_142801 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/runningtime/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 \n2 1 3 1 2 \n",
"output": "4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/middle-of-three2926/1 | Solve the following coding problem using the programming language python:
Given three distinct numbers A, B and C. Find the number with value in middle (Try to do it with minimum comparisons).
Example 1:
Input:
A = 978, B = 518, C = 300
Output:
518
Explanation:
Since 518>300 and 518<978, so
518 is the middle element.
Example 2:
Input:
A = 162, B = 934, C = 200
Output:
200
Exaplanation:
Since 200>162 && 200<934,
So, 200 is the middle element.
Your Task:
You don't need to read input or print anything.Your task is to complete the function middle() which takes three integers A,B and C as input parameters and returns the number which has middle value.
Expected Time Complexity:O(1)
Expected Auxillary Space:O(1)
Constraints:
1<=A,B,C<=10^{9}
A,B,C are distinct.
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def middle(self,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 middle(self, A, B, C):
if A > B > C or C > B > A:
return B
elif A > C > B or B > C > A:
return C
else:
return A
``` | vfc_142805 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/middle-of-three2926/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "A = 978, B = 518, C = 300",
"output": "518",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Regional College is having N branches, where each branches have positive integral student. A minimize operation is performed on the branch such that all of them are reduced by the minimum number student in a branch.
Suppose we have 5 branches and all of them have below students in a branch.
5 2 4 2 6
Then in one minimize operation we reduce all the branch by 2 students. For next minimize operation 3 branch are left (have non-zero student), whose value are
3 2 4
Above step is repeated till no students are left in all branches.
Given students of N branches, print the number of student that are reduce in subsequent minimize operation.
Input Format
The first line contains a single integer N.
The next line contains N integers : X(0), X(1), X(2),..... X(N-1) separated by space, where X(i) represents the student of ith branch.
Output Format
For each minimize operation, print the number of students that are reduced in branches in separate line.
Constraints
1 ≤ N ≤ 1000
1 ≤ X(i) ≤ 1000
SAMPLE INPUT
6
5 4 4 2 2 8
SAMPLE OUTPUT
6
4
2
1
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())
s=input()
lst=s.split(' ')
ar=[0]*n
for i in range(0,n):
ar[i]=int(lst[i])
ar.sort()
cnt=1
mn=ar[0]
print(len(ar))
while(cnt!=0):
cnt=0
for i in range(0,n):
ar[i]=ar[i]-mn
if(ar[i]>0):
cnt=cnt+1
for i in range(0,n):
if(ar[i]>0):
mn=ar[i]
break
if(cnt>0):
print(cnt)
``` | vfc_142806 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\n5 4 4 2 2 8",
"output": "6\n4\n2\n1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1000\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1",
"output": "1000",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/1030/E | Solve the following coding problem using the programming language python:
Vasya has a sequence $a$ consisting of $n$ integers $a_1, a_2, \dots, a_n$. Vasya may pefrom the following operation: choose some number from the sequence and swap any pair of bits in its binary representation. For example, Vasya can transform number $6$ $(\dots 00000000110_2)$ into $3$ $(\dots 00000000011_2)$, $12$ $(\dots 000000001100_2)$, $1026$ $(\dots 10000000010_2)$ and many others. Vasya can use this operation any (possibly zero) number of times on any number from the sequence.
Vasya names a sequence as good one, if, using operation mentioned above, he can obtain the sequence with bitwise exclusive or of all elements equal to $0$.
For the given sequence $a_1, a_2, \ldots, a_n$ Vasya'd like to calculate number of integer pairs $(l, r)$ such that $1 \le l \le r \le n$ and sequence $a_l, a_{l + 1}, \dots, a_r$ is good.
-----Input-----
The first line contains a single integer $n$ ($1 \le n \le 3 \cdot 10^5$) — length of the sequence.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^{18}$) — the sequence $a$.
-----Output-----
Print one integer — the number of pairs $(l, r)$ such that $1 \le l \le r \le n$ and the sequence $a_l, a_{l + 1}, \dots, a_r$ is good.
-----Examples-----
Input
3
6 7 14
Output
2
Input
4
1 2 1 16
Output
4
-----Note-----
In the first example pairs $(2, 3)$ and $(1, 3)$ are valid. Pair $(2, 3)$ is valid since $a_2 = 7 \rightarrow 11$, $a_3 = 14 \rightarrow 11$ and $11 \oplus 11 = 0$, where $\oplus$ — bitwise exclusive or. Pair $(1, 3)$ is valid since $a_1 = 6 \rightarrow 3$, $a_2 = 7 \rightarrow 13$, $a_3 = 14 \rightarrow 14$ and $3 \oplus 13 \oplus 14 = 0$.
In the second example pairs $(1, 2)$, $(2, 3)$, $(3, 4)$ and $(1, 4)$ are valid.
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
n = int(input())
b = list(map(int, input().split()))
pre = [0]
res = []
for j in range(n):
res.append(bin(b[j]).count('1'))
pre.append(pre[-1] + res[-1])
ans = 0
e = 1
o = 0
for j in range(n):
if pre[j + 1] % 2 == 0:
ans += e
e += 1
else:
ans += o
o += 1
s = 0
m = 0
i = j
while i >= max(0, j - 62):
s += res[i]
m = max(m, res[i])
if s % 2 == 0 and s < 2 * m:
ans += -1
i += -1
print(ans)
``` | vfc_142811 | {
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1030/E",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n6 7 14\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n1 2 1 16\n",
"output": "4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
E-training
Nene is writing a program to look up $ N $ integers $ V_1, V_2, V_3, \ cdots, V_N $ for programming training.
As told by his instructor, Umiko, Nene wrote a program to look up multiples of 2, 3, and 6.
Multiples of 2 were $ A $, multiples of 3 were $ B $, and multiples of 6 were $ C $.
Umiko told me to look up the number of "numbers that are neither multiples of 2 nor multiples of 3".
However, Nene was tired, so she decided to cheat only for the answer.
Based only on the values of $ N, A, B, and C $, you can find the number of "numbers that are neither multiples of 2 nor multiples of 3". Create a program that asks for this.
input
$ N, A, B, C $ are given separated by blanks.
output
Output the number of "numbers that are neither multiples of 2 nor multiples of 3" in the data. However, insert a line break at the end.
Constraint
* $ N $ is an integer greater than or equal to $ 1 $ and less than or equal to $ 100 $
* $ A, B, C $ are integers greater than or equal to $ 0 $ and less than or equal to $ N $
* No inconsistent data is given, such as $ A $ being greater than $ N $
Input example 1
6 3 2 1
Output example 1
2
For example, if your data is $ 2, 3, 4, 5, 6, 7 $, then $ 5 $ and $ 7 $ are "numbers that are neither multiples of 2 nor multiples of 3".
Input example 2
10 9 9 9
Output example 2
1
Example
Input
6 3 2 1
Output
2
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(n, a, b, c) = map(int, input().split())
print(n - (a + b - c))
``` | vfc_142815 | {
"difficulty": "unknown_difficulty",
"memory_limit": "268.435456 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6 5 2 1",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9 5 2 1",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "12 5 2 1",
"output": "6\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "0 5 2 1",
"output": "-6\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "-1 5 2 1",
"output": "-7\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "-1 0 2 0",
"output": "-3\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/k-palindrome/1 | Solve the following coding problem using the programming language python:
A string is k palindrome if it can be transformed into a palindrome on removing at most k characters from it. Your task is to complete the function is_k_palin which takes two arguments a string str and a number N . Your function should return true if the string is k palindrome else it should return false.
Input:
The first line of input is an integer T denoting the number of test cases . Then T test cases follow . Each test case contains a string str and an integer N separated by space.
Output:
The output will be 1 if the string is k palindrome else 0 .
Constraints:
1<=T<=100
1<=length of str<=100
1<=N<=20
Example:
Input
2
abcdecba 1
acdcb 1
Output
1
0
Write your solution by modifying this code:
```python
#You are required to complete this function
#your function should return an integer
def is_k_palin(string, n):
#Code here
```
Your solution should implemented in the function "is_k_palin". The inputs will be passed to it and it should return the correct solution.
Now solve the problem and return the code. | ```python
def is_k_palin(string, n):
k = n
n = len(string)
dp = [[-1 for j in range(n)] for i in range(n)]
for i in range(n - 1, -1, -1):
for j in range(n):
if i >= j:
dp[i][j] = 0
elif string[i] == string[j]:
dp[i][j] = dp[i + 1][j - 1]
else:
dp[i][j] = 1 + min(dp[i + 1][j], dp[i][j - 1])
if dp[0][n - 1] <= k:
return 1
return 0
``` | vfc_142824 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/k-palindrome/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": "is_k_palin",
"input": "2\r\n\nabcdecba 1\r\n\nacdcb 1",
"output": "1\n0",
"type": "function_call"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1133/D | Solve the following coding problem using the programming language python:
You are given two arrays $a$ and $b$, each contains $n$ integers.
You want to create a new array $c$ as follows: choose some real (i.e. not necessarily integer) number $d$, and then for every $i \in [1, n]$ let $c_i := d \cdot a_i + b_i$.
Your goal is to maximize the number of zeroes in array $c$. What is the largest possible answer, if you choose $d$ optimally?
-----Input-----
The first line contains one integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the number of elements in both arrays.
The second line contains $n$ integers $a_1$, $a_2$, ..., $a_n$ ($-10^9 \le a_i \le 10^9$).
The third line contains $n$ integers $b_1$, $b_2$, ..., $b_n$ ($-10^9 \le b_i \le 10^9$).
-----Output-----
Print one integer — the maximum number of zeroes in array $c$, if you choose $d$ optimally.
-----Examples-----
Input
5
1 2 3 4 5
2 4 7 11 3
Output
2
Input
3
13 37 39
1 2 3
Output
2
Input
4
0 0 0 0
1 2 3 4
Output
0
Input
3
1 2 -1
-6 -12 6
Output
3
-----Note-----
In the first example, we may choose $d = -2$.
In the second example, we may choose $d = -\frac{1}{13}$.
In the third example, we cannot obtain any zero in array $c$, no matter which $d$ we choose.
In the fourth example, we may choose $d = 6$.
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
from math import gcd
N = int(input())
A = [int(x) for x in input().split()]
B = [int(x) for x in input().split()]
Pairs = defaultdict(int)
already = 0
for i in range(N):
if A[i] and B[i]:
b = -B[i]
a = A[i]
x = gcd(abs(b), abs(a))
bb = int(b / x)
aa = int(a / x)
if aa < 0:
if bb < 0:
Pairs[-bb, -aa] += 1
else:
Pairs[-bb, -aa] += 1
else:
Pairs[bb, aa] += 1
elif A[i] == 0 and B[i] == 0:
already += 1
elif A[i] == 0:
continue
else:
Pairs[0] += 1
X = list(Pairs.values())
if X:
print(max(X) + already)
else:
print(already)
``` | vfc_142825 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1133/D",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n1 2 3 4 5\n2 4 7 11 3\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n13 37 39\n1 2 3\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n0 0 0 0\n1 2 3 4\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n1 2 -1\n-6 -12 6\n",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n0 5 7\n0 10 13\n",
"output": "2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Jack stays in a n-storey hostel. His dorm room is on the jth floor. Every morning, he is in so much hurry for classes that he cannot not decide whether to take Lift or Stairs to reach ground-floor. He asks you to help him choose either Stairs or Lift based on total time taken to reach ground-floor.
It takes him 10 seconds to get down by 1 floor using Stairs.
The lift works as follows:
If the lift is at the ith floor, it take 5 second to reach the (i-1) or (i+1) floor.
The lift may stop at a floor to pick up persons or to drop off persons or to change the direction. If the lift stops at a floor due to one/more of these reasons, it takes 10 seconds extra at that floor.
It changes its direction only at the ground floor(0th floor) or top floor(nth floor).
Assume that nobody else is using the lift other than Jack.
Input:
First line contains T - number of test cases.
Each of next T lines contains three integers n, J and L and a character either 'U' or 'D' (without quotes) where J indicates the number of the floor Jack is present at the moment, L indicates the number of floor Lift is present at the moment and 'U' or 'D' represents whether Lift is moving Up or Down.
Output:
Print in T lines containing 'Stairs' or 'Lift'(without quotes) followed by the minimum amount of time it would take Jack to reach the ground floor. If time taken by both the ways is same, Jack would obviously prefer the Lift.
Constraints:
1 ≤ n ≤ 100
1 ≤ J ≤ n
0 ≤ L ≤ n
SAMPLE INPUT
3
30 10 20 U
10 10 10 U
80 60 60 D
SAMPLE OUTPUT
Stairs 100
Lift 70
Lift 320
Explanation
Jack is on the 10th floor. So it takes him 1010=100 seconds to reach the ground floor by stairs.
The lift is on the 20th floor. As it is going up right now, it will first go to the top floor( i.e. the 30th floor)(105 seconds) + change its direction(10 seconds) + come down to 10th floor(205 seconds) + pick up Jack(10 seconds) + reach the ground floor(105 seconds) + drop Jack ( 10 seconds) ; time = (30-20)5+10+305+10 +10 = 50+10+150+20=230 seconds.
Time to reach ground floor by stairs=1010=100 seconds.
Here, the lift and Jack are on the same floor (i.e. the top floor). Time to reach ground floor by lift = time to change directions(10 seconds) + time to reach ground floor(105 seconds) + time to drop Jack(10 seconds)=10 + 510+10=70 seconds.
* When Jack is on the top floor, there is no need to consider separately the time for Jack to climb on the lift. As he will climb when the lift stops to change directions
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
t = input()
for _ in range(int(t)):
inp = input().split()
n, J, L = list(map(int, inp[:-1]))
d = inp[-1]
stairs = 10*(J)
lift = 0
if d == 'U':
if J != n:
lift = 30 + (n-L)*5 + (n*5)
if J == n:
lift = 20 + (n-L)*5 + (n*5)
elif d =='D':
if L >= J:
lift = 20 + L*5
else:
lift = 40 + L*5 + 2*n*5
if lift <= stairs:
print('Lift',lift)
else:
print('Stairs',stairs)
``` | vfc_142829 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "32\n10 5 5 U\n10 5 5 D\n10 3 3 D\n10 9 9 U\n10 10 10 U\n10 10 10 D\n100 80 20 U\n100 80 45 U\n100 80 46 U\n100 80 40 D\n100 80 0 D\n100 80 79 D\n100 100 3 U\n100 100 4 U\n100 100 5 U\n100 100 2 U\n100 100 1 D\n100 53 100 U\n100 52 100 U\n100 51 100 U\n100 54 100 U\n100 51 99 U\n100 53 99 U\n100 54 99 U\n100 55 99 U\n100 52 100 D\n100 51 100 D\n100 50 100 D\n100 50 99 D\n100 51 99 D\n100 52 99 D\n100 53 99 D",
"output": "Stairs 50\nLift 45\nStairs 30\nLift 85\nLift 70\nLift 70\nStairs 800\nStairs 800\nLift 800\nStairs 800\nStairs 800\nStairs 800\nStairs 1000\nLift 1000\nLift 995\nStairs 1000\nStairs 1000\nLift 530\nStairs 520\nStairs 510\nLift 530\nStairs 510\nStairs 530\nLift 535\nLift 535\nLift 520\nStairs 510\nStairs 500\nStairs 500\nStairs 510\nLift 515\nLift 515",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "50\n76 46 57 U\n78 44 21 D\n100 71 6 U\n66 35 18 D\n79 50 66 U\n82 49 81 D\n91 46 59 D\n86 39 59 U\n87 30 44 D\n57 36 39 U\n64 33 16 U\n98 11 79 U\n66 59 33 D\n65 15 41 U\n65 15 47 U\n59 12 15 U\n60 7 32 U\n51 9 51 D\n82 63 42 D\n51 29 47 D\n96 67 56 U\n69 52 60 D\n63 30 10 U\n93 35 56 D\n85 31 80 D\n90 26 10 U\n52 50 20 U\n79 65 54 D\n91 1 21 U\n51 21 23 D\n73 2 23 D\n91 26 56 D\n71 5 55 D\n95 62 5 D\n68 11 18 U\n98 46 47 U\n57 27 32 U\n87 62 54 U\n81 30 45 U\n73 19 42 U\n89 34 60 U\n57 46 15 D\n84 55 14 U\n63 38 56 D\n100 32 32 D\n64 63 19 U\n82 5 27 U\n61 34 43 U\n70 20 15 D\n90 83 52 U",
"output": "Stairs 460\nStairs 440\nStairs 710\nStairs 350\nLift 490\nLift 425\nLift 315\nStairs 390\nLift 240\nStairs 360\nStairs 330\nStairs 110\nStairs 590\nStairs 150\nStairs 150\nStairs 120\nStairs 70\nStairs 90\nStairs 630\nLift 255\nStairs 670\nLift 320\nStairs 300\nLift 300\nStairs 310\nStairs 260\nLift 450\nStairs 650\nStairs 10\nLift 135\nStairs 20\nStairs 260\nStairs 50\nStairs 620\nStairs 110\nStairs 460\nStairs 270\nStairs 620\nStairs 300\nStairs 190\nStairs 340\nStairs 460\nStairs 550\nLift 300\nLift 180\nLift 575\nStairs 50\nStairs 340\nStairs 200\nLift 670",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://www.codechef.com/problems/HIGHFREQ | Solve the following coding problem using the programming language python:
Chef has an array A of length N.
Let F(A) denote the maximum frequency of any element present in the array.
For example:
If A = [1, 2, 3, 2, 2, 1], then F(A) = 3 since element 2 has the highest frequency = 3.
If A = [1, 2, 3, 3, 2, 1], then F(A) = 2 since highest frequency of any element is 2.
Chef can perform the following operation at most once:
Choose any [subsequence] S of the array such that every element of S is the same, say x. Then, choose an integer y and replace every element in this subsequence with y.
For example, let A = [1, 2, 2, 1, 2, 2]. A few examples of the operation that Chef can perform are:
[1, \textcolor{red}{2, 2}, 1, 2, 2] \to [1, \textcolor{blue}{5, 5}, 1, 2, 2]
[1, \textcolor{red}{2}, 2, 1, \textcolor{red}{2, 2}] \to [1, \textcolor{blue}{19}, 2, 1, \textcolor{blue}{19, 19}]
[\textcolor{red}{1}, 2, 2, 1, 2, 2] \to [\textcolor{blue}{2}, 2, 2, 1, 2, 2]
Determine the minimum possible value of F(A) Chef can get by performing the given operation at most 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 two lines of input.
- The first line of each test case contains a single integer N denoting the length of array A.
- The second line contains N space-separated integers denoting the array A.
------ Output Format ------
For each test case, output the minimum value of F(A) Chef can get if he performs the operation optimally.
------ Constraints ------
$1 ≤ T ≤ 5000$
$2 ≤ N ≤ 10^{5}$
$1 ≤ A_{i} ≤ N$
- The sum of $N$ over all test cases won't exceed $2 \cdot 10^{5}$.
----- Sample Input 1 ------
3
4
1 2 1 2
5
1 1 1 1 1
6
1 2 2 1 2 2
----- Sample Output 1 ------
2
3
2
----- explanation 1 ------
Test case $1$: Chef cannot reduce the value of $F(A)$ by performing any operation.
Test case $2$: Chef can perform the operation $[\textcolor{red}{1}, 1, \textcolor{red}{1}, 1, \textcolor{red}{1}] \to [\textcolor{blue}{2}, 1, \textcolor{blue}{2}, 1, \textcolor{blue}{2}]$.
The value of $F(A)$ in this case is $3$, which is the minimum possible.
Test case $3$: Chef can perform the operation $[1, \textcolor{red}{2, 2}, 1, 2, 2] \to [1, \textcolor{blue}{5, 5}, 1, 2, 2]$. The value of $F(A)$ in this case is $2$, which is the minimum possible.
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 Counter
from math import ceil, floor, gcd
for _ in range(int(input())):
n = int(input())
a = list(Counter([int(x) for x in input().strip().split()]).values())
if len(a) == 1:
print(ceil(a[0] / 2))
else:
a.sort()
print(max(ceil(a[-1] / 2), a[-2]))
``` | vfc_142834 | {
"difficulty": "medium",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/HIGHFREQ",
"time_limit": "0.5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n4\n1 2 1 2\n5\n1 1 1 1 1\n6\n1 2 2 1 2 2\n",
"output": "2\n3\n2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1608/D | Solve the following coding problem using the programming language python:
You are given $n$ dominoes. Each domino has a left and a right cell. Each cell can be colored either black or white. Some cells are already colored, while some aren't yet.
The coloring is said to be valid if and only if it is possible to rearrange the dominoes in some order such that for each $1 \le i \le n$ the color of the right cell of the $i$-th domino is different from the color of the left cell of the $((i mod n)+1)$-st domino.
Note that you can't rotate the dominoes, so the left cell always remains the left cell, and the right cell always remains the right cell.
Count the number of valid ways to color the yet uncolored cells of dominoes. Two ways are considered different if there is a cell that is colored white in one way and black in the other. In particular, colorings BW WB and WB BW different (and both invalid).
As this number can be very big, output it modulo $998\,244\,353$.
-----Input-----
The first line of the input contains a single integer $n$ ($1 \le n \le 10^5$) — the number of dominoes.
The next $n$ lines describe dominoes. Each line contains two characters which represent the left and the right cell. Character B means that the corresponding cell is black, character W means that the corresponding cell is white, and ? means that the cell is yet to be colored.
-----Output-----
Print a single integer — the answer to the problem.
-----Examples-----
Input
1
?W
Output
1
Input
2
??
W?
Output
2
Input
4
BB
??
W?
??
Output
10
-----Note-----
In the first test case, there is only one domino, and we need the color of its right cell to be different from the color of its left cell. There is only one way to achieve this.
In the second test case, there are only $2$ such colorings:
BB WW and WB WB.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
MOD = 998244353
MAX = 200005
fact = [1]
for zz in range(1, MAX + 1):
fact.append(fact[-1] * zz % MOD)
def nCr(n, r):
num = fact[n]
den = fact[r] * fact[n - r] % MOD
return num * pow(den, MOD - 2, MOD) % MOD
from collections import Counter
def main():
MOD = 998244353
cnts = Counter()
n = int(input())
arr = []
for _ in range(n):
s = input()
arr.append(s)
cnts[s] += 1
wCnt = bCnt = 0
for (k, v) in cnts.items():
for i in range(2):
if k[i] == 'W':
wCnt += v
if k[i] == 'B':
bCnt += v
if wCnt > n or bCnt > n:
print(0)
return
gap = n - wCnt + n - bCnt
total = nCr(gap, n - wCnt)
if cnts['WW'] == cnts['BB'] == 0:
subtract = 0
minWBCnts = minBWCnts = 0
for wb in ['W?', '?B', 'WB']:
minWBCnts += cnts[wb]
for bw in ['B?', '?W', 'BW']:
minBWCnts += cnts[bw]
gap = n - minWBCnts - minBWCnts
qq = cnts['??']
for wbCnts in range(1, n):
bwCnts = n - wbCnts
if wbCnts < minWBCnts or bwCnts < minBWCnts:
continue
assert qq >= wbCnts - minWBCnts
subtract += nCr(qq, wbCnts - minWBCnts)
subtract %= MOD
total = (total - subtract + MOD) % MOD
print(total)
return
import sys
input = lambda : sys.stdin.readline().rstrip('\r\n')
def oneLineArrayPrint(arr):
print(' '.join([str(x) for x in arr]))
def multiLineArrayPrint(arr):
print('\n'.join([str(x) for x in arr]))
def multiLineArrayOfArraysPrint(arr):
print('\n'.join([' '.join([str(x) for x in y]) for y in arr]))
def readIntArr():
return [int(x) for x in input().split()]
def makeArr(defaultValFactory, dimensionArr):
dv = defaultValFactory
da = dimensionArr
if len(da) == 1:
return [dv() for _ in range(da[0])]
else:
return [makeArr(dv, da[1:]) for _ in range(da[0])]
def queryInteractive(i, j):
print('? {} {}'.format(i, j))
sys.stdout.flush()
return int(input())
def answerInteractive(i, j, k):
print('! {} {} {}'.format(i, j, k))
sys.stdout.flush()
inf = float('inf')
from math import gcd, floor, ceil
import math
for _abc in range(1):
main()
``` | vfc_142840 | {
"difficulty": "very_hard",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1608/D",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n?W\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n??\nW?\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\nBB\n??\nW?\n??\n",
"output": "10\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n?B\n??\n??\nB?\n??\n??\nWB\n",
"output": "194\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "99\nW?\nB?\nBB\n??\n??\n??\n?W\n??\n?B\n??\n?B\n??\n??\nWB\nW?\n??\n??\n??\n??\n??\n??\nW?\n?W\n?W\n?B\n?W\nWB\n??\nBB\n?W\n??\n??\n?B\n??\n??\nB?\n??\n??\nB?\n??\nB?\nW?\n??\n??\n??\n??\n??\nWW\n?W\n??\n??\n?W\n??\n?B\n??\nB?\n??\nB?\n??\nB?\n??\nB?\n?B\nB?\n??\n??\n??\n??\n?B\nB?\n?W\nBW\n??\n??\n??\n??\n??\n??\n?W\n??\nB?\n??\n??\n?B\n?W\n??\nB?\n??\n??\nWW\n??\n??\nW?\nBW\n??\nB?\n??\n?B\n?W\n",
"output": "140175437\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/next-greater-element-2/1 | Solve the following coding problem using the programming language python:
Given a circular interger array arr of size N (i.e ., the next element of arr [N-1] is arr[0] ), return the next greater number for every element in arr.
The next greater element of a number x is the first greater number to its traversing-order next in the array, which means you could search circularly to find its next greater number. If it doesn't exist, return -1 for this number.
Example 1:
Input:
N = 3
arr[ ] = {1, 2, 1}
Output: {2, -1, 2}
Explanation: The first 1's next greater number is 2:
The number 2 can't find next greater number.
The second 1's next greater number needs to search circularly, which is also 2.
Example 2:
Input:
N = 5
arr[ ] = {5, 4, 3, 2, 1}
Output: {-1, 5, 5, 5, 5}
Your Task:
You don't need to read input or print anything. Your task is to complete the function nextGreaterElement() which takes the array of integers arr and N as parameters and returns an array of integer which contains the next greater number for every element in arr.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(N)
Constraints:
1 ≤ N ≤ 10^{4}
10^{-9 }≤ arr_{i }≤ 10^{-9}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def nextGreaterElement(self, N, arr):
# 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 nextGreaterElement(self, N, arr):
ans = [-2] * N
ma = max(arr)
for i in range(N):
if arr[i] == ma:
ans[i] = -1
pos = i
stack = [ma]
for i in range(N - 1, -1, -1):
j = (i + pos) % N
if ans[j] == -1:
stack[:] = [ma]
else:
while stack[-1] <= arr[j]:
stack.pop()
ans[j] = stack[-1]
stack.append(arr[j])
return ans
``` | vfc_142845 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/next-greater-element-2/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 3\r\narr[ ] = {1, 2, 1}",
"output": "{2, -1, 2}",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/DAILY | Solve the following coding problem using the programming language python:
A daily train consists of N cars. Let's consider one particular car. It has 54 places numbered consecutively from 1 to 54, some of which are already booked and some are still free. The places are numbered in the following fashion:
The car is separated into 9 compartments of 6 places each, as shown in the picture. So, the 1st compartment consists of places 1, 2, 3, 4, 53 and 54, the 2nd compartment consists of places 5, 6, 7, 8, 51 and 52, and so on.
A group of X friends wants to buy tickets for free places, all of which are in one compartment (it's much funnier to travel together). You are given the information about free and booked places in each of the N cars. Find the number of ways to sell the friends exactly X tickets in one compartment (note that the order in which the tickets are sold doesn't matter).
------ Input ------
The first line of the input contains two integers X and N (1 ≤ X ≤ 6, 1 ≤ N ≤ 10) separated by a single space. Each of the following N lines contains the information about one car which is a string of length 54 consisting of '0' and '1'. The i-th character (numbered from 1) is '0' if place i in the corresponding car is free, and is '1' if place i is already booked.
------ Output ------
Output just one integer -- the requested number of ways.
----- Sample Input 1 ------
1 3
100101110000001011000001111110010011110010010111000101
001010000000101111100000000000000111101010101111111010
011110011110000001010100101110001011111010001001111010
----- Sample Output 1 ------
85
----- explanation 1 ------
In the first test case, any of the free places can be sold.
----- Sample Input 2 ------
6 3
100101110000001011000001111110010011110010010111000101
001010000000101111100000000000000111101010101111111010
011110011110000001010100101110001011111010001001111010
----- Sample Output 2 ------
1
----- explanation 2 ------
In the second test case, the only free compartment in the train is compartment 3 in the first car (places 9, 10, 11, 12, 49 and 50 are all free).
----- Sample Input 3 ------
3 2
000000000000000000000000000000000000000000000000000000
000000000000000000000000000000000000000000000000000000
----- Sample Output 3 ------
360
----- explanation 3 ------
In the third test case, the train is still absolutely free; as there are 20 ways to sell 3 tickets in an empty compartment, the answer is 2 * 9 * 20 = 360.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import math
(x, n) = map(int, input().split())
counter = 0
equals = 0
for _ in range(n):
a = input()
(i, j) = (0, 54)
for __ in range(9):
lst = a[i:i + 4] + a[j - 2:j]
counter += math.comb(lst.count('0'), x)
i += 4
j -= 2
print(counter)
``` | vfc_142846 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/DAILY",
"time_limit": "2.992 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 3\n100101110000001011000001111110010011110010010111000101\n001010000000101111100000000000000111101010101111111010\n011110011110000001010100101110001011111010001001111010",
"output": "85",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 3\n100101110000001011000001111110010011110010010111000101\n001010000000101111100000000000000111101010101111111010\n011110011110000001010100101110001011111010001001111010",
"output": "1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 2\n000000000000000000000000000000000000000000000000000000\n000000000000000000000000000000000000000000000000000000",
"output": "360",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 2\n100101110000001011000001111110010011110010010111000101\n001010000000101111100000000000000111101010101111111010\n011110011110000001010100101110001011111010001001111010",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 2\n000000000000000001000000000000000000000000000000000000\n000000000000000000000000000000000000000000000000000000",
"output": "350\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 2\n000000000000000001000000000000000000000000000000000000\n000000000000000000000000000000000000000000000000000000",
"output": "260\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/linear-diophantine-equations5649/1 | Solve the following coding problem using the programming language python:
A Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integral solutions are required. An Integral solution is a solution such that all the unknown variables take only integer values.
Given three integers A, B, C representing a linear equation of the form: Ax + By = C. Determine if the equation has a solution such that x and y are both integral values.
Example 1:
Input:
A = 3
B = 6
C = 9
Output:
1
Explanation:
It is possible to
write A, B, C in the
for 3 + 6 = 9
Example 2:
Input:
A = 4
B = 2
C = 3
Output:
0
Explanation:
It is not possible to
represent A, B, C in
Diophantine equation form.
Your Task:
You don't need to read input or print anything. Your task is to complete the function isPossible() which takes three integer values A, B, C as input parameters and returns 1 if the solution for x and y exist otherwise return 0.
Expected Time Complexity: O(log N)
Expected Space Complexity: O(1)
Constraints:
1 <= A,B,C <= 10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def isPossible(self,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
import math
class Solution:
def isPossible(self, A, B, C):
k = math.gcd(A, B)
if C % k == 0:
return 1
else:
return 0
``` | vfc_142850 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/linear-diophantine-equations5649/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "A = 3\nB = 6\nC = 9",
"output": "1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "A = 4\nB = 2\nC = 3",
"output": "0",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1179/C | Solve the following coding problem using the programming language python:
Serge came to the school dining room and discovered that there is a big queue here. There are $m$ pupils in the queue. He's not sure now if he wants to wait until the queue will clear, so he wants to know which dish he will receive if he does. As Serge is very tired, he asks you to compute it instead of him.
Initially there are $n$ dishes with costs $a_1, a_2, \ldots, a_n$. As you already know, there are the queue of $m$ pupils who have $b_1, \ldots, b_m$ togrogs respectively (pupils are enumerated by queue order, i.e the first pupil in the queue has $b_1$ togrogs and the last one has $b_m$ togrogs)
Pupils think that the most expensive dish is the most delicious one, so every pupil just buys the most expensive dish for which he has money (every dish has a single copy, so when a pupil has bought it nobody can buy it later), and if a pupil doesn't have money for any dish, he just leaves the queue (so brutal capitalism...)
But money isn't a problem at all for Serge, so Serge is buying the most expensive dish if there is at least one remaining.
Moreover, Serge's school has a very unstable economic situation and the costs of some dishes or number of togrogs of some pupils can change. More formally, you must process $q$ queries:
change $a_i$ to $x$. It means that the price of the $i$-th dish becomes $x$ togrogs. change $b_i$ to $x$. It means that the $i$-th pupil in the queue has $x$ togrogs now.
Nobody leaves the queue during those queries because a saleswoman is late.
After every query, you must tell Serge price of the dish which he will buy if he has waited until the queue is clear, or $-1$ if there are no dishes at this point, according to rules described above.
-----Input-----
The first line contains integers $n$ and $m$ ($1 \leq n, m \leq 300\ 000$) — number of dishes and pupils respectively. The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \leq a_i \leq 10^{6}$) — elements of array $a$. The third line contains $m$ integers $b_1, b_2, \ldots, b_{m}$ ($1 \leq b_i \leq 10^{6}$) — elements of array $b$. The fourth line conatins integer $q$ ($1 \leq q \leq 300\ 000$) — number of queries.
Each of the following $q$ lines contains as follows: if a query changes price of some dish, it contains $1$, and two integers $i$ and $x$ ($1 \leq i \leq n$, $1 \leq x \leq 10^{6}$), what means $a_i$ becomes $x$. if a query changes number of togrogs of some pupil, it contains $2$, and two integers $i$ and $x$ ($1 \leq i \leq m$, $1 \leq x \leq 10^{6}$), what means $b_i$ becomes $x$.
-----Output-----
For each of $q$ queries prints the answer as the statement describes, the answer of the $i$-th query in the $i$-th line (the price of the dish which Serge will buy or $-1$ if nothing remains)
-----Examples-----
Input
1 1
1
1
1
1 1 100
Output
100
Input
1 1
1
1
1
2 1 100
Output
-1
Input
4 6
1 8 2 4
3 3 6 1 5 2
3
1 1 1
2 5 10
1 1 6
Output
8
-1
4
-----Note-----
In the first sample after the first query, there is one dish with price $100$ togrogs and one pupil with one togrog, so Serge will buy the dish with price $100$ togrogs.
In the second sample after the first query, there is one dish with price one togrog and one pupil with $100$ togrogs, so Serge will get nothing.
In the third sample after the first query, nobody can buy the dish with price $8$, so Serge will take it. After the second query, all dishes will be bought, after the third one the third and fifth pupils will by the first and the second dishes respectively and nobody will by the fourth one.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
from itertools import accumulate
class Lazysegtree:
def __init__(self, A, intv, initialize=True, segf=min):
self.N = len(A)
self.N0 = 2 ** (self.N - 1).bit_length()
self.intv = intv
self.segf = segf
self.lazy = [0] * (2 * self.N0)
if initialize:
self.data = [intv] * self.N0 + A + [intv] * (self.N0 - self.N)
for i in range(self.N0 - 1, 0, -1):
self.data[i] = self.segf(self.data[2 * i], self.data[2 * i + 1])
else:
self.data = [intv] * (2 * self.N0)
def _ascend(self, k):
k = k >> 1
c = k.bit_length()
for j in range(c):
idx = k >> j
self.data[idx] = self.segf(self.data[2 * idx], self.data[2 * idx + 1]) + self.lazy[idx]
def _descend(self, k):
k = k >> 1
idx = 1
c = k.bit_length()
for j in range(1, c + 1):
idx = k >> c - j
ax = self.lazy[idx]
if not ax:
continue
self.lazy[idx] = 0
self.data[2 * idx] += ax
self.data[2 * idx + 1] += ax
self.lazy[2 * idx] += ax
self.lazy[2 * idx + 1] += ax
def query(self, l, r):
L = l + self.N0
R = r + self.N0
Li = L // (L & -L)
Ri = R // (R & -R)
self._descend(Li)
self._descend(Ri - 1)
s = self.intv
while L < R:
if R & 1:
R -= 1
s = self.segf(s, self.data[R])
if L & 1:
s = self.segf(s, self.data[L])
L += 1
L >>= 1
R >>= 1
return s
def add(self, l, r, x):
L = l + self.N0
R = r + self.N0
Li = L // (L & -L)
Ri = R // (R & -R)
while L < R:
if R & 1:
R -= 1
self.data[R] += x
self.lazy[R] += x
if L & 1:
self.data[L] += x
self.lazy[L] += x
L += 1
L >>= 1
R >>= 1
self._ascend(Li)
self._ascend(Ri - 1)
def binsearch(self, l, r, check, reverse=False):
L = l + self.N0
R = r + self.N0
Li = L // (L & -L)
Ri = R // (R & -R)
self._descend(Li)
self._descend(Ri - 1)
(SL, SR) = ([], [])
while L < R:
if R & 1:
R -= 1
SR.append(R)
if L & 1:
SL.append(L)
L += 1
L >>= 1
R >>= 1
if reverse:
for idx in SR + SL[::-1]:
if check(self.data[idx]):
break
else:
return -1
while idx < self.N0:
ax = self.lazy[idx]
self.lazy[idx] = 0
self.data[2 * idx] += ax
self.data[2 * idx + 1] += ax
self.lazy[2 * idx] += ax
self.lazy[2 * idx + 1] += ax
idx = idx << 1
if check(self.data[idx + 1]):
idx += 1
return idx - self.N0
else:
for idx in SL + SR[::-1]:
if check(self.data[idx]):
break
else:
return -1
while idx < self.N0:
ax = self.lazy[idx]
self.lazy[idx] = 0
self.data[2 * idx] += ax
self.data[2 * idx + 1] += ax
self.lazy[2 * idx] += ax
self.lazy[2 * idx + 1] += ax
idx = idx << 1
if not check(self.data[idx]):
idx += 1
return idx - self.N0
def provfunc(self):
idx = 1
if self.data[1] >= 0:
return -1
while idx < self.N0:
ax = self.lazy[idx]
self.lazy[idx] = 0
self.data[2 * idx] += ax
self.data[2 * idx + 1] += ax
self.lazy[2 * idx] += ax
self.lazy[2 * idx + 1] += ax
idx = idx << 1
if self.data[idx + 1] < 0:
idx += 1
return idx - self.N0
(N, M) = list(map(int, input().split()))
A = list(map(int, input().split()))
B = list(map(int, input().split()))
table = [0] * (10 ** 6 + 1)
for a in A:
table[a] -= 1
for b in B:
table[b] += 1
table = list(accumulate(table[::-1]))[::-1]
T = Lazysegtree(table, 0, True, min)
Q = int(input())
Ans = [None] * Q
for q in range(Q):
(t, i, x) = list(map(int, sys.stdin.readline().split()))
i -= 1
if t == 1:
T.add(0, x + 1, -1)
T.add(0, A[i] + 1, 1)
A[i] = x
else:
T.add(0, x + 1, 1)
T.add(0, B[i] + 1, -1)
B[i] = x
Ans[q] = T.provfunc()
print('\n'.join(map(str, Ans)))
``` | vfc_142851 | {
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1179/C",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 1\n1\n1\n1\n1 1 100\n",
"output": "100\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1\n1\n1\n1\n2 1 100\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 6\n1 8 2 4\n3 3 6 1 5 2\n3\n1 1 1\n2 5 10\n1 1 6\n",
"output": "8\n-1\n4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 5\n3 2 8\n1 2 8 1 1\n4\n1 3 3\n1 2 2\n2 2 10\n1 1 5\n",
"output": "3\n3\n2\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 1\n7 6 1 1\n3\n3\n2 1 9\n2 1 10\n2 1 6\n",
"output": "6\n6\n7\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 1\n8 4 8 7 3\n9\n5\n2 1 3\n1 5 1\n2 1 8\n2 1 7\n2 1 3\n",
"output": "8\n8\n8\n8\n8\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Sherlock is following N criminals, which are right now in a 2D grid. Each criminal at t=0, decides to move in certain fixed direction. Each criminal moves with same speed. These fixed directions are North, East, West and South. Two or more criminals, however, vanish whenever they meet at any place at same time, t>0.
You have to tell what is the final number of criminals left at t=infinity.
Note: No two criminals will have the same starting point at t=0.
Input
First line, T, the number of testcases. Each testcase consists of N lines. Each line contains x y z. x, y denotes the intial position of the criminal. z is one of 'N','E','W','S', denoting the direction in which this criminal will move.
Output
For each testcase, required answer in one line.
Constraints
1 ≤ T ≤ 100
1 ≤ N ≤ 50
-1000 ≤ x, y ≤ 1000
SAMPLE INPUT
1
4
0 0 N
10 10 W
20 20 N
30 30 E
SAMPLE OUTPUT
2
Explanation
The criminals that start at (0,0) and (10,10) will meet at (0, 10) at t=10. The remaining two criminals will never meet.
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(eval(input())):
n = eval(input())
m = n
D = {}
C = []
i = 0
mnx, mxx, mny, mxy = 0, 0, 0, 0
for __ in range(n):
x, y, d = input().split()
x = int(x) * 2
y = int(y) * 2
mxx = max(mxx, x)
mxy = max(mxy, y)
mnx = min(mnx, x)
mny = min(mny, y)
C.append([x, y, d])
D[(x, y)] = i
i += 1
counts = max(mxx - mnx, mxy - mny) + 1
for i in range(counts):
td = []
if m == 0:
break
for j in range(n):
if C[j][0] != "a":
x, y = C[j][0], C[j][1]
if C[j][2] == "N":
C[j][1] += 1
if C[j][2] == "S":
C[j][1] -= 1
if C[j][2] == "E":
C[j][0] += 1
if C[j][2] == "W":
C[j][0] -= 1
if (C[j][0], C[j][1]) in D:
if (C[j][0], C[j][1]) not in td:
td.append((C[j][0], C[j][1]))
C[D[(x, y)]] = ["a", "b", "c"]
del D[(x, y)]
m -= 1
else:
del D[(x, y)]
D[(C[j][0], C[j][1])] = j
for a, b in td:
C[D[(a, b)]] = ["a", "b", "c"]
del D[(a, b)]
m -= 1
print(m)
``` | vfc_142855 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "20\n4\n0 0 N\n10 10 W\n20 20 N\n30 30 E\n4\n-10 0 N\n0 -10 E\n0 10 W\n10 0 S\n4\n0 0 E\n9 0 W\n0 4 S\n0 5 S\n9\n-1 0 E\n1 0 E\n0 0 N\n-1 -1 W\n1 -1 W\n0 1 S\n0 -1 W\n-1 1 S\n1 1 E\n5\n-2 -1 S\n-3 -1 W\n-2 -3 N\n1 3 S\n-3 -2 E\n9\n-1 -1 E\n-1 0 S\n-1 1 E\n0 -1 W\n0 0 N\n0 1 N\n1 -1 E\n1 0 W\n1 1 W\n50\n4 2 S\n7 3 S\n6 0 N\n2 6 W\n6 8 S\n5 4 W\n7 9 S\n7 0 E\n8 5 N\n4 0 S\n7 2 W\n8 4 S\n8 3 E\n8 8 S\n5 1 W\n4 5 E\n8 0 W\n9 7 S\n1 3 W\n5 7 S\n9 0 E\n3 9 N\n4 8 W\n0 1 N\n0 9 N\n1 4 N\n0 7 E\n7 8 S\n2 1 W\n6 1 S\n9 6 W\n6 6 S\n3 6 W\n0 2 W\n5 8 S\n5 5 S\n1 1 W\n2 9 E\n0 0 E\n4 1 W\n9 1 W\n7 1 N\n7 7 W\n1 0 W\n8 2 W\n1 5 N\n9 4 W\n2 7 E\n7 5 N\n3 3 N\n1\n0 0 N\n2\n-1000 -1000 N\n1000 1000 W\n4\n412 597 S\n412 275 E\n734 597 E\n734 275 E\n12\n-328 707 N\n312 386 N\n616 123 W\n632 -253 W\n632 707 E\n-328 -253 W\n616 308 N\n535 609 W\n431 308 S\n312 609 E\n431 123 S\n535 386 E\n20\n70 7 W\n-126 481 E\n816 -246 E\n-479 821 E\n557 -604 E\n918 7 S\n-406 821 S\n-126 749 S\n-394 481 N\n-394 749 N\n764 -397 S\n816 -674 S\n70 855 S\n-479 748 E\n388 -246 S\n557 -397 N\n-406 748 E\n764 -604 W\n918 855 E\n388 -674 N\n40\n-531 625 E\n406 -692 S\n232 -73 N\n648 605 E\n547 179 W\n470 102 W\n648 585 S\n406 -595 W\n-168 585 N\n814 207 S\n503 -692 W\n322 -73 W\n434 387 N\n828 -7 E\n503 -595 N\n648 -231 N\n-443 -218 E\n828 387 S\n-220 991 N\n470 179 W\n502 459 S\n404 207 N\n-592 564 S\n322 17 W\n547 102 W\n-531 564 N\n457 991 N\n648 459 N\n502 605 S\n729 954 W\n-443 954 N\n-168 -231 N\n404 617 W\n729 -218 E\n457 314 E\n-220 314 W\n232 17 E\n814 617 S\n434 -7 N\n-592 625 N\n50\n499 604 W\n497 729 S\n968 324 N\n601 335 E\n-487 862 W\n234 335 W\n-59 434 N\n-59 862 E\n228 211 S\n-297 962 E\n898 163 S\n497 699 S\n602 -129 W\n224 560 E\n499 433 N\n228 -348 S\n602 138 W\n-487 434 S\n115 119 N\n-256 519 W\n341 324 S\n573 766 S\n417 606 S\n-331 -348 E\n341 962 S\n-465 -238 W\n869 138 E\n-297 324 N\n670 163 W\n716 905 S\n224 359 W\n23 560 N\n467 729 S\n670 391 N\n383 119 E\n756 536 W\n898 391 W\n115 -149 S\n23 359 S\n-331 211 N\n261 766 N\n261 454 N\n573 454 N\n417 905 W\n-219 519 N\n869 -129 N\n467 699 W\n-219 482 S\n328 433 W\n601 -32 W\n50\n45 591 N\n-16 -464 N\n-400 525 S\n-271 814 N\n-301 259 S\n883 136 S\n-350 599 S\n-214 -464 W\n-25 744 N\n-641 138 N\n-271 675 N\n-697 599 S\n-156 -119 N\n-301 908 S\n950 -137 E\n552 -195 N\n742 437 S\n-670 807 N\n-16 -266 E\n883 -195 W\n-506 631 E\n314 807 S\n-214 -266 W\n542 437 S\n81 -119 W\n45 372 W\n264 372 W\n81 -356 W\n613 -381 S\n348 259 W\n799 -381 E\n-25 36 E\n683 36 W\n552 136 E\n-350 946 S\n542 237 E\n-670 -177 E\n692 -558 W\n683 744 W\n742 237 S\n264 591 S\n-697 946 E\n613 -195 W\n950 531 S\n-132 675 N\n-641 165 N\n799 -195 E\n-506 525 N\n-156 -356 E\n862 -558 N\n50\n-205 -193 S\n454 -193 W\n-176 531 E\n667 -185 S\n846 902 E\n51 695 W\n785 639 E\n846 542 N\n7 714 N\n-160 -280 S\n929 -486 N\n87 -151 N\n-160 710 E\n503 -51 S\n-253 757 W\n881 -180 N\n-166 -51 S\n830 710 S\n334 -533 E\n-533 469 S\n619 -185 S\n486 902 W\n-205 466 S\n63 695 E\n503 618 N\n486 542 N\n-498 -644 W\n667 -137 S\n929 810 W\n51 707 E\n63 707 W\n583 118 W\n87 469 W\n830 -280 N\n388 41 E\n7 531 E\n388 686 S\n-54 -686 W\n-582 -686 N\n-257 41 E\n583 -180 N\n-371 875 N\n-367 -486 W\n-176 714 E\n-253 875 N\n454 466 N\n-54 -158 W\n-180 -533 W\n-166 618 N\n-498 639 S\n50\n-173 691 N\n-678 691 E\n-129 -20 S\n100 668 E\n965 936 E\n-341 668 N\n-388 -471 N\n-388 69 S\n694 665 W\n44 796 W\n152 69 W\n-509 226 W\n-193 865 N\n-407 -235 S\n-407 657 E\n485 -235 S\n44 655 S\n986 -622 W\n-97 655 E\n559 385 N\n-97 796 N\n-202 -322 N\n986 469 W\n-678 186 N\n379 493 N\n-105 469 S\n888 385 E\n-341 227 W\n270 602 W\n912 -240 E\n559 56 S\n888 56 N\n18 231 N\n291 999 W\n270 493 N\n291 110 N\n-193 -240 S\n-129 -382 S\n485 657 N\n773 231 S\n912 865 S\n-491 -382 W\n-665 141 W\n965 665 W\n-598 110 E\n-491 -20 W\n694 936 W\n-105 -622 N\n-202 141 N\n-598 999 S\n50\n545 -325 N\n449 259 S\n683 -320 E\n144 286 S\n-584 35 W\n858 -12 E\n-237 975 N\n-153 750 S\n538 462 W\n771 -223 W\n339 559 N\n819 -81 N\n631 773 S\n631 286 S\n-544 359 W\n995 -320 E\n-193 503 N\n-12 503 N\n84 -216 E\n771 428 N\n84 -228 S\n545 -12 S\n764 462 E\n-137 259 S\n819 975 S\n-193 684 S\n538 236 S\n-471 60 E\n-237 -81 N\n858 -325 E\n-12 684 N\n697 367 S\n144 773 W\n449 845 S\n289 654 N\n-471 257 E\n72 -228 E\n72 -216 S\n-137 845 W\n888 367 W\n289 336 N\n-274 60 S\n888 176 S\n226 446 S\n120 428 E\n697 176 W\n683 -8 S\n339 446 W\n-274 257 W\n120 -223 E\n50\n-66 820 S\n903 -34 S\n498 57 N\n-394 492 N\n389 -306 S\n-381 303 E\n462 -45 S\n184 -34 S\n-29 571 S\n231 752 E\n415 -306 E\n-469 750 W\n-394 820 S\n-388 296 N\n636 -94 W\n636 571 S\n415 -332 N\n498 577 E\n-577 750 E\n288 -119 W\n-469 858 S\n4 -6 E\n14 535 W\n462 -105 W\n-324 924 W\n0 -119 N\n744 558 S\n402 -105 S\n-341 558 S\n-341 -527 S\n389 -332 N\n903 685 S\n-482 674 E\n-324 18 E\n-625 817 E\n-625 674 N\n-195 39 E\n231 535 S\n-486 -6 S\n582 18 W\n288 -407 W\n-490 39 E\n-490 334 W\n-577 858 W\n0 -407 N\n-388 303 E\n-22 57 W\n4 484 W\n744 -527 W\n-482 817 W\n50\n478 -186 W\n-664 98 N\n759 948 S\n434 795 N\n-405 289 N\n513 -678 S\n565 948 S\n-396 -170 W\n311 -195 W\n-174 290 W\n56 -354 E\n993 -424 E\n251 289 N\n-341 -157 W\n993 -166 E\n-112 150 S\n242 706 N\n129 -678 S\n383 684 W\n513 -294 S\n-78 -234 W\n-341 36 S\n-148 36 E\n129 -294 W\n423 -216 W\n493 -234 E\n434 427 W\n-405 945 E\n478 265 W\n-148 -157 W\n929 265 W\n251 715 N\n56 275 W\n242 715 E\n929 -186 S\n-78 337 N\n423 798 S\n-664 -170 S\n802 427 N\n251 706 N\n759 754 S\n383 961 N\n-112 286 N\n-591 -216 W\n-591 798 W\n-248 286 W\n660 961 N\n660 684 E\n735 -424 S\n493 337 E\n",
"output": "2\n0\n2\n5\n2\n4\n25\n1\n0\n4\n8\n14\n36\n46\n38\n40\n46\n40\n34\n44\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "49\n2\n0 1 N\n0 2 S\n16\n-1 0 N\n-1 1 S\n-2 1 S\n-2 0 N\n-3 0 N\n-3 2 S\n-4 2 S\n-4 0 N\n0 11 E\n1 11 W\n1 12 W\n0 12 E\n0 13 E\n2 13 W\n2 14 W\n0 14 E\n2\n0 0 S\n0 -1 N\n2\n-1000 -1000 N\n1000 1000 W\n2\n-1 -1 E\n0 -1 W\n2\n1 0 N\n1 1 S\n50\n-9 -1 W\n-3 -8 E\n0 -8 W\n-9 -3 W\n-6 8 N\n-3 -6 N\n-2 1 N\n-10 1 E\n8 6 S\n-5 6 E\n6 3 N\n1 -7 S\n9 0 N\n-2 6 N\n-9 6 S\n-2 -3 W\n0 -7 N\n5 3 W\n-8 1 W\n-7 -8 W\n3 6 E\n0 5 W\n-1 -3 N\n7 -6 N\n8 4 W\n-6 4 E\n9 -9 N\n-10 2 W\n-4 3 W\n2 -4 S\n5 7 E\n5 -3 S\n-8 7 W\n-1 -4 E\n-3 4 E\n-6 -2 W\n5 -6 E\n3 -1 S\n-4 -10 N\n8 -8 W\n-5 -5 W\n-5 -8 N\n-4 -4 E\n-4 -7 N\n2 9 N\n7 3 W\n9 4 W\n-3 -1 E\n6 2 S\n-8 -1 S\n4\n0 0 S\n0 -1 N\n0 -2 N\n2 0 W\n50\n478 -186 W\n-664 98 N\n759 948 S\n434 795 N\n-405 289 N\n513 -678 S\n565 948 S\n-396 -170 W\n311 -195 W\n-174 290 W\n56 -354 E\n993 -424 E\n251 289 N\n-341 -157 W\n993 -166 E\n-112 150 S\n242 706 N\n129 -678 S\n383 684 W\n513 -294 S\n-78 -234 W\n-341 36 S\n-148 36 E\n129 -294 W\n423 -216 W\n493 -234 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E\n-880 -880 W\n-40 -40 E\n440 440 N\n880 880 S\n-440 -440 E\n-720 -720 E\n-480 -480 S\n-120 -120 E\n-240 -240 N\n280 280 W\n80 80 W\n480 480 S\n800 800 S\n680 680 W\n120 120 S\n40 40 N\n920 920 E\n200 200 W\n-320 -320 S\n-80 -80 W\n520 520 W\n400 400 W\n-920 -920 N\n-800 -800 E\n-1000 -1000 E\n-560 -560 W\n-360 -360 S\n-160 -160 W\n640 640 N\n50\n520 520 S\n40 40 N\n200 200 N\n-360 -360 W\n-840 -840 W\n-920 -920 N\n560 560 S\n840 840 N\n720 720 S\n-80 -80 E\n960 960 N\n160 160 W\n880 880 W\n-160 -160 E\n-1000 -1000 N\n680 680 E\n360 360 W\n640 640 N\n-240 -240 S\n-120 -120 W\n-40 -40 E\n280 280 S\n-320 -320 N\n120 120 N\n480 480 S\n-760 -760 N\n-520 -520 N\n440 440 S\n-560 -560 E\n-880 -880 W\n-200 -200 N\n-480 -480 N\n-440 -440 E\n-400 -400 N\n0 0 W\n920 920 S\n80 80 W\n-800 -800 E\n320 320 S\n-720 -720 N\n600 600 W\n-280 -280 N\n760 760 E\n-680 -680 S\n-960 -960 S\n800 800 E\n400 400 S\n240 240 N\n-600 -600 W\n-640 -640 E\n4\n0 0 N\n10 10 W\n20 20 N\n30 30 E\n3\n0 0 S\n0 1 S\n0 -1 N\n50\n375 399 W\n307 203 E\n377 206 W\n361 248 S\n204 264 N\n310 283 N\n280 379 E\n398 339 E\n345 205 N\n261 228 E\n232 380 N\n359 267 E\n392 222 E\n258 333 E\n207 287 N\n263 361 W\n216 263 N\n319 328 S\n260 355 W\n348 207 W\n358 202 S\n211 257 S\n243 206 W\n292 204 N\n343 249 W\n327 380 W\n219 276 S\n285 250 N\n342 205 E\n300 381 W\n242 235 S\n212 332 S\n250 231 S\n224 377 S\n400 362 N\n325 396 S\n389 233 W\n275 393 S\n344 262 W\n-1000 -1000 N\n1000 1000 W\n42 43 W\n42 41 E\n41 42 N\n43 43 S\n-999 -999 E\n999 999 S\n-999 999 N\n-100 -104 N\n-100 -101 S\n2\n0 0 N\n0 1 S\n2\n0 0 E\n1 0 W\n2\n0 12 E\n1 12 W\n2\n1 0 W\n0 0 E\n9\n-1 -1 E\n-1 0 E\n-1 1 E\n0 -1 W\n0 0 W\n0 1 W\n1 -1 E\n1 0 E\n1 1 E\n4\n0 0 N\n0 1 N\n0 2 S\n1 1 W\n2\n0 1 S\n0 0 N\n8\n0 0 E\n1 0 W\n2 1 W\n1 1 E\n3 1 S\n3 0 N\n4 0 N\n4 1 S\n2\n29 30 E\n30 30 W\n6\n0 0 E\n1 0 W\n1000 999 N\n999 1000 E\n-1000 -999 S\n-999 -1000 W\n",
"output": "0\n0\n0\n0\n0\n0\n36\n0\n44\n2\n0\n0\n0\n0\n0\n6\n0\n20\n0\n0\n0\n34\n42\n0\n0\n2\n4\n0\n0\n0\n0\n0\n0\n0\n0\n1\n2\n25\n0\n2\n2\n13\n42\n0\n2\n1\n0\n3\n0\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://www.codechef.com/problems/CHEFSTR1 | Solve the following coding problem using the programming language python:
Read problem statements in [Hindi], [Bengali], [Mandarin Chinese], [Russian], and [Vietnamese] as well.
Having already mastered cooking, Chef has now decided to learn how to play the guitar. Often while trying to play a song, Chef has to skip several strings to reach the string he has to pluck. Eg. he may have to pluck the $1^{st}$ string and then the $6^{th}$ string. This is easy in guitars with only $6$ strings; However, Chef is playing a guitar with $10^{6}$ strings. In order to simplify his task, Chef wants you to write a program that will tell him the total number of strings he has to skip while playing his favourite song.
This is how guitar strings are numbered (In ascending order from right to left). Eg. to switch from string $1$ to $6$, Chef would have to skip $4$ strings $(2, 3, 4, 5)$.
------ Input: ------
First line will contain $T$, number of testcases. Then the testcases follow.
The first line of each test case contains $N$, the number of times Chef has to pluck a string
The second line of each test case contains $N$ space separated integers - $S_{1}$, $S_{2}$, ..., $S_{N}$, where $S_{i}$ is the number of the $i^{th}$ string Chef has to pluck.
------ Output: ------
For each testcase, output the total number of strings Chef has to skip over while playing his favourite song.
------ Constraints ------
$1 ≤ T ≤ 10$
$2 ≤ N ≤ 10^{5}$
$1 ≤ S_{i} ≤ 10^{6}$
For each valid $i$, $S_{i} \neq S_{i+1}$
------ Subtasks ------
30 points : for each valid $i$, $S_{i} < S_{i+1}$
70 points : No additional constraints
----- Sample Input 1 ------
2
6
1 6 11 6 10 11
4
1 3 5 7
----- Sample Output 1 ------
15
3
----- explanation 1 ------
Test Case $1$
- Chef skips $4$ strings $(2, 3, 4, 5)$ to move from $1$ to $6$
- Chef skips $4$ strings $(7, 8, 9, 10)$ to move from $6$ to $11$
- Chef skips $4$ strings $(10, 9, 8, 7)$ to move from $11$ to $6$
- Chef skips $3$ strings $(7, 8, 9)$ to move from $6$ to $10$
- Chef skips $0$ strings to move from $10$ to $11$
Therefore, the answer is $4 + 4 + 4 + 3 + 0 = 15$
Test Case $2$
- Chef skips $1$ string to move from $1$ to $3$
- Chef skips $1$ string to move from $3$ to $5$
- Chef skips $1$ string to move from $5$ to $7$
Therefore, the answer is $1 + 1 + 1 = 3$
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())
while t > 0:
n = int(input())
arr = list(map(int, input().split()))
count = 0
for i in range(n - 1):
count += max(arr[i], arr[i + 1]) - min(arr[i], arr[i + 1]) - 1
print(count)
t -= 1
``` | vfc_142859 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CHEFSTR1",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n6\n1 6 11 6 10 11\n4\n1 3 5 7",
"output": "15\n3",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1187/A | Solve the following coding problem using the programming language python:
Your favorite shop sells n Kinder Surprise chocolate eggs. You know that exactly s stickers and exactly t toys are placed in n eggs in total.
Each Kinder Surprise can be one of three types:
* it can contain a single sticker and no toy;
* it can contain a single toy and no sticker;
* it can contain both a single sticker and a single toy.
But you don't know which type a particular Kinder Surprise has. All eggs look identical and indistinguishable from each other.
What is the minimum number of Kinder Surprise Eggs you have to buy to be sure that, whichever types they are, you'll obtain at least one sticker and at least one toy?
Note that you do not open the eggs in the purchasing process, that is, you just buy some number of eggs. It's guaranteed that the answer always exists.
Input
The first line contains the single integer T (1 ≤ T ≤ 100) — the number of queries.
Next T lines contain three integers n, s and t each (1 ≤ n ≤ 10^9, 1 ≤ s, t ≤ n, s + t ≥ n) — the number of eggs, stickers and toys.
All queries are independent.
Output
Print T integers (one number per query) — the minimum number of Kinder Surprise Eggs you have to buy to be sure that, whichever types they are, you'll obtain at least one sticker and one toy
Example
Input
3
10 5 7
10 10 10
2 1 1
Output
6
1
2
Note
In the first query, we have to take at least 6 eggs because there are 5 eggs with only toy inside and, in the worst case, we'll buy all of them.
In the second query, all eggs have both a sticker and a toy inside, that's why it's enough to buy only one egg.
In the third query, we have to buy both eggs: one with a sticker and one with a toy.
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, s, t) = map(int, input().split())
print(max(n - s + 1, n - t + 1))
``` | vfc_142876 | {
"difficulty": "easy",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1187/A",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n1 1 1\n1000000000 1000000000 1000000000\n1000000000 999999999 1\n999999999 666666667 666666666\n",
"output": "1\n1\n1000000000\n333333334\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n2 1 1\n2 1 2\n2 2 1\n2 2 2\n",
"output": "2\n2\n2\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1926 1900 1200\n",
"output": "727\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n5 3 2\n",
"output": "4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/union-find/1 | Solve the following coding problem using the programming language python:
This problem is to implement disjoint set union. There will be 2 incomplete functions namely union and find. You have to complete these functions.
Union: Join two subsets into a single set.
isConnected: Determine which subset a particular element is in. This can be used for determining if two elements are in same subset.
Example 1:
Input:
N = 5
q = 4
Queries =
Union(1,3)
isConnected(1,2)
Union(1,5)
isConnected(3,5)
Output:
0
1
Explanation: Initially all nodes 1 2 3 4 5
are not connected.
After Union(1,3), node 1 and 3 will be
connected.
When we do isConnected(1,2), as node 1
and 2 are not connected it will return 0.
After Union(1,5), node 1 and 5 will be
connected.
When we do isConnected(3,5), as node
1 and 3 are connected, and node 1 and 5
are connected, hence 3 and 5 are
connected. Thus it will return 1.
Example 2:
Input:
N = 5
q = 4
Queries =
Union(1,4)
Union(1,5)
isConnected(2,3)
Union(3,4)
Output: 0
Your Task:
You have to complete the function union_() which merges the node1 and node2. You will also have to complete the function isConnected() which will return whether the two nodes are connected.
Note: Both function will contain two arrays par[] and ranks1[] along with two nodes. Initially par[i] = i and rank1[i] = 1
Expected Time Complexity: O(N + Q).
Expected Auxiliary Space: O(1).
Constraints:
1 <= N <= 10^{5}
1<= Q <= 10^{5}
1 <= node1, node2 <= N
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
#Function to merge two nodes a and b.
def union_(self,a,b,par,rank1):
# code here
#Function to check whether 2 nodes are connected or not.
def isConnected(self,x,y,par,rank1):
# 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:
@staticmethod
def find(par, r):
while par[r] != r:
r = par[r]
return r
@staticmethod
def compress(par, x, r):
while x != r:
par[x] = r
x = par[x]
def union_(self, a, b, par, rank1):
r1 = self.find(par, a)
r2 = self.find(par, b)
if r1 != r2:
par[r1] = r2
self.compress(par, a, r2)
self.compress(par, b, r2)
def isConnected(self, x, y, par, rank1):
return self.find(par, x) == self.find(par, y)
``` | vfc_142884 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/union-find/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 5\r\nq = 4\r\nQueries = \r\nUnion(1,3)\r\nisConnected(1,2)\r\nUnion(1,5)\r\nisConnected(3,5)",
"output": "0\r\n1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 5\r\nq = 4\r\nQueries = \r\nUnion(1,4)\r\nUnion(1,5)\r\nisConnected(2,3)\r\nUnion(3,4)",
"output": "0",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1086/A | Solve the following coding problem using the programming language python:
The Squareland national forest is divided into equal 1 × 1 square plots aligned with north-south and east-west directions. Each plot can be uniquely described by integer Cartesian coordinates (x, y) of its south-west corner.
Three friends, Alice, Bob, and Charlie are going to buy three distinct plots of land A, B, C in the forest. Initially, all plots in the forest (including the plots A, B, C) are covered by trees. The friends want to visit each other, so they want to clean some of the plots from trees. After cleaning, one should be able to reach any of the plots A, B, C from any other one of those by moving through adjacent cleared plots. Two plots are adjacent if they share a side.
<image> For example, A=(0,0), B=(1,1), C=(2,2). The minimal number of plots to be cleared is 5. One of the ways to do it is shown with the gray color.
Of course, the friends don't want to strain too much. Help them find out the smallest number of plots they need to clean from trees.
Input
The first line contains two integers x_A and y_A — coordinates of the plot A (0 ≤ x_A, y_A ≤ 1000). The following two lines describe coordinates (x_B, y_B) and (x_C, y_C) of plots B and C respectively in the same format (0 ≤ x_B, y_B, x_C, y_C ≤ 1000). It is guaranteed that all three plots are distinct.
Output
On the first line print a single integer k — the smallest number of plots needed to be cleaned from trees. The following k lines should contain coordinates of all plots needed to be cleaned. All k plots should be distinct. You can output the plots in any order.
If there are multiple solutions, print any of them.
Examples
Input
0 0
1 1
2 2
Output
5
0 0
1 0
1 1
1 2
2 2
Input
0 0
2 0
1 1
Output
4
0 0
1 0
1 1
2 0
Note
The first example is shown on the picture in the legend.
The second example is illustrated with the following image:
<image>
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
s = [[int(i) for i in input().split()] for j in range(3)]
s.sort()
a = s[0]
b = s[1]
c = s[2]
print(c[0] - a[0] + max(a[1], b[1], c[1]) - min(a[1], b[1], c[1]) + 1)
for i in range(a[0], b[0]):
print('{} {}'.format(i, a[1]))
for i in range(min(a[1], b[1], c[1]), max(a[1], b[1], c[1]) + 1):
print('{} {}'.format(b[0], i))
for i in range(b[0] + 1, c[0] + 1):
print('{} {}'.format(i, c[1]))
``` | vfc_142885 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1086/A",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 0\n2 2\n1 1\n",
"output": "4\n1 0\n1 1\n1 2\n2 2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "670 672\n593 626\n593 792\n",
"output": "244\n593 626\n593 627\n593 628\n593 629\n593 630\n593 631\n593 632\n593 633\n593 634\n593 635\n593 636\n593 637\n593 638\n593 639\n593 640\n593 641\n593 642\n593 643\n593 644\n593 645\n593 646\n593 647\n593 648\n593 649\n593 650\n593 651\n593 652\n593 653\n593 654\n593 655\n593 656\n593 657\n593 658\n593 659\n593 660\n593 661\n593 662\n593 663\n593 664\n593 665\n593 666\n593 667\n593 668\n593 669\n593 670\n593 671\n593 672\n593 673\n593 674\n593 675\n593 676\n593 677\n593 678\n593 679\n593 680\n593 681\n593 682\n593 683\n593 684\n593 685\n593 686\n593 687\n593 688\n593 689\n593 690\n593 691\n593 692\n593 693\n593 694\n593 695\n593 696\n593 697\n593 698\n593 699\n593 700\n593 701\n593 702\n593 703\n593 704\n593 705\n593 706\n593 707\n593 708\n593 709\n593 710\n593 711\n593 712\n593 713\n593 714\n593 715\n593 716\n593 717\n593 718\n593 719\n593 720\n593 721\n593 722\n593 723\n593 724\n593 725\n593 726\n593 727\n593 728\n593 729\n593 730\n593 731\n593 732\n593 733\n593 734\n593 735\n593 736\n593 737\n593 738\n593 739\n593 740\n593 741\n593 742\n593 743\n593 744\n593 745\n593 746\n593 747\n593 748\n593 749\n593 750\n593 751\n593 752\n593 753\n593 754\n593 755\n593 756\n593 757\n593 758\n593 759\n593 760\n593 761\n593 762\n593 763\n593 764\n593 765\n593 766\n593 767\n593 768\n593 769\n593 770\n593 771\n593 772\n593 773\n593 774\n593 775\n593 776\n593 777\n593 778\n593 779\n593 780\n593 781\n593 782\n593 783\n593 784\n593 785\n593 786\n593 787\n593 788\n593 789\n593 790\n593 791\n593 792\n594 672\n595 672\n596 672\n597 672\n598 672\n599 672\n600 672\n601 672\n602 672\n603 672\n604 672\n605 672\n606 672\n607 672\n608 672\n609 672\n610 672\n611 672\n612 672\n613 672\n614 672\n615 672\n616 672\n617 672\n618 672\n619 672\n620 672\n621 672\n622 672\n623 672\n624 672\n625 672\n626 672\n627 672\n628 672\n629 672\n630 672\n631 672\n632 672\n633 672\n634 672\n635 672\n636 672\n637 672\n638 672\n639 672\n640 672\n641 672\n642 672\n643 672\n644 672\n645 672\n646 672\n647 672\n648 672\n649 672\n650 672\n651 672\n652 672\n653 672\n654 672\n655 672\n656 672\n657 672\n658 672\n659 672\n660 672\n661 672\n662 672\n663 672\n664 672\n665 672\n666 672\n667 672\n668 672\n669 672\n670 672\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "0 1\n1 2\n2 1\n",
"output": "4\n0 1\n1 1\n1 2\n2 1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 0\n0 1\n10 10\n",
"output": "21\n0 1\n1 0\n1 1\n1 2\n1 3\n1 4\n1 5\n1 6\n1 7\n1 8\n1 9\n1 10\n2 10\n3 10\n4 10\n5 10\n6 10\n7 10\n8 10\n9 10\n10 10\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/CHFRICH | Solve the following coding problem using the programming language python:
Read problem statements in [Mandarin], [Bengali], [Russian], and [Vietnamese] as well.
Chef aims to be the richest person in Chefland by his new restaurant franchise. Currently, his assets are worth $A$ billion dollars and have no liabilities. He aims to increase his assets by $X$ billion dollars per year.
Also, all the richest people in Chefland are not planning to grow and maintain their current worth.
To be the richest person in Chefland, he needs to be worth at least $B$ billion dollars. How many years will it take Chef to reach his goal if his value increases by $X$ billion dollars each year?
------ 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, three integers $A$, $B$, $X$.
------ Output ------
For each test case, output in a single line the answer to the problem.
------ Constraints ------
$1 ≤ T ≤ 21\ 000$
$100 ≤ A < B ≤ 200$
$1 ≤ X ≤ 50$
$X$ divides $B - A$
------ Subtasks ------
Subtask #1 (100 points): Original constraints
----- Sample Input 1 ------
3
100 200 10
111 199 11
190 200 10
----- Sample Output 1 ------
10
8
1
----- explanation 1 ------
Test Case $1$: Chef needs to increase his worth by $200 - 100 = 100$ billion dollars and his increment per year being $10$ billion dollars, so it will take him $\frac{100}{10} = 10$ years to do so.
Test Case $2$: Chef needs to increase his worth by $199 - 111 = 88$ billion dollars and his increment per year being $11$ billion dollars, so it will take him $\frac{88}{11} = 8$ years to do so.
Test Case $3$: Chef needs to increase his worth by $200 - 190 = 10$ billion dollars and his increment per year being $10$ billion dollars, so it will take him $\frac{10}{10} = 1$ year to do so.
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):
(a, b, x) = map(int, input().split())
print((b - a) // x)
``` | vfc_142894 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CHFRICH",
"time_limit": "0.5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n100 200 10\n111 199 11\n190 200 10",
"output": "10\n8\n1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1015/A | Solve the following coding problem using the programming language python:
You are given a set of $n$ segments on the axis $Ox$, each segment has integer endpoints between $1$ and $m$ inclusive. Segments may intersect, overlap or even coincide with each other. Each segment is characterized by two integers $l_i$ and $r_i$ ($1 \le l_i \le r_i \le m$) — coordinates of the left and of the right endpoints.
Consider all integer points between $1$ and $m$ inclusive. Your task is to print all such points that don't belong to any segment. The point $x$ belongs to the segment $[l; r]$ if and only if $l \le x \le r$.
-----Input-----
The first line of the input contains two integers $n$ and $m$ ($1 \le n, m \le 100$) — the number of segments and the upper bound for coordinates.
The next $n$ lines contain two integers each $l_i$ and $r_i$ ($1 \le l_i \le r_i \le m$) — the endpoints of the $i$-th segment. Segments may intersect, overlap or even coincide with each other. Note, it is possible that $l_i=r_i$, i.e. a segment can degenerate to a point.
-----Output-----
In the first line print one integer $k$ — the number of points that don't belong to any segment.
In the second line print exactly $k$ integers in any order — the points that don't belong to any segment. All points you print should be distinct.
If there are no such points at all, print a single integer $0$ in the first line and either leave the second line empty or do not print it at all.
-----Examples-----
Input
3 5
2 2
1 2
5 5
Output
2
3 4
Input
1 7
1 7
Output
0
-----Note-----
In the first example the point $1$ belongs to the second segment, the point $2$ belongs to the first and the second segments and the point $5$ belongs to the third segment. The points $3$ and $4$ do not belong to any segment.
In the second example all the points from $1$ to $7$ belong to the first segment.
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())
L = (m + 2) * [0]
for _ in range(n):
(l, r) = map(int, input().split())
L[l] += 1
L[r + 1] -= 1
ans = []
for i in range(1, m + 1):
L[i] += L[i - 1]
if L[i] == 0:
ans.append(i)
print(len(ans))
print(*ans)
``` | vfc_142898 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1015/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 5\n2 2\n1 2\n5 5\n",
"output": "2\n3 4 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 7\n1 7\n",
"output": "0\n\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100 100\n1 2\n1 3\n1 3\n2 3\n1 1\n1 2\n1 1\n1 2\n1 3\n1 2\n1 2\n1 5\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 2\n1 1\n1 1\n1 2\n2 2\n1 1\n1 5\n1 4\n1 1\n2 2\n2 9\n1 1\n1 5\n2 3\n2 3\n1 5\n1 2\n2 2\n2 2\n1 2\n1 2\n3 4\n1 5\n1 1\n1 1\n1 1\n1 1\n2 2\n1 3\n1 2\n1 2\n1 2\n1 1\n2 2\n1 4\n1 3\n1 1\n1 2\n1 1\n2 3\n1 2\n2 2\n1 1\n1 5\n1 2\n2 2\n1 1\n1 1\n1 2\n1 4\n2 3\n1 2\n1 1\n2 2\n1 5\n1 1\n1 6\n1 1\n1 1\n1 2\n1 1\n1 4\n2 2\n1 1\n1 1\n1 2\n1 2\n1 2\n1 1\n1 2\n2 3\n1 1\n1 1\n1 3\n1 3\n1 2\n1 2\n1 1\n1 2\n1 2\n1 1\n1 2\n",
"output": "91\n10 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 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 100\n2 99\n",
"output": "2\n1 100 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n2 2\n",
"output": "1\n1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 100\n54 54\n",
"output": "99\n1 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 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 \n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/362/B | Solve the following coding problem using the programming language python:
Little boy Petya loves stairs very much. But he is bored from simple going up and down them — he loves jumping over several stairs at a time. As he stands on some stair, he can either jump to the next one or jump over one or two stairs at a time. But some stairs are too dirty and Petya doesn't want to step on them.
Now Petya is on the first stair of the staircase, consisting of n stairs. He also knows the numbers of the dirty stairs of this staircase. Help Petya find out if he can jump through the entire staircase and reach the last stair number n without touching a dirty stair once.
One has to note that anyway Petya should step on the first and last stairs, so if the first or the last stair is dirty, then Petya cannot choose a path with clean steps only.
-----Input-----
The first line contains two integers n and m (1 ≤ n ≤ 10^9, 0 ≤ m ≤ 3000) — the number of stairs in the staircase and the number of dirty stairs, correspondingly. The second line contains m different space-separated integers d_1, d_2, ..., d_{m} (1 ≤ d_{i} ≤ n) — the numbers of the dirty stairs (in an arbitrary order).
-----Output-----
Print "YES" if Petya can reach stair number n, stepping only on the clean stairs. Otherwise print "NO".
-----Examples-----
Input
10 5
2 4 8 3 6
Output
NO
Input
10 5
2 4 5 7 9
Output
YES
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())
if m == 0:
print('YES')
exit(0)
a = set(map(int, input().split()))
l = 0
for i in a:
if i + 1 in a and i + 2 in a:
l += 1
if 1 in a or n in a or l > 0:
print('NO')
else:
print('YES')
``` | vfc_142906 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/362/B",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10 5\n2 4 8 3 6\n",
"output": "NO",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10 5\n2 4 5 7 9\n",
"output": "YES",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/491/A | Solve the following coding problem using the programming language python:
Hiking club "Up the hill" just returned from a walk. Now they are trying to remember which hills they've just walked through.
It is known that there were N stops, all on different integer heights between 1 and N kilometers (inclusive) above the sea level. On the first day they've traveled from the first stop to the second stop, on the second day they've traveled from the second to the third and so on, and on the last day they've traveled from the stop N - 1 to the stop N and successfully finished their expedition.
They are trying to find out which heights were their stops located at. They have an entry in a travel journal specifying how many days did they travel up the hill, and how many days did they walk down the hill.
Help them by suggesting some possible stop heights satisfying numbers from the travel journal.
-----Input-----
In the first line there is an integer non-negative number A denoting the number of days of climbing up the hill. Second line contains an integer non-negative number B — the number of days of walking down the hill (A + B + 1 = N, 1 ≤ N ≤ 100 000).
-----Output-----
Output N space-separated distinct integers from 1 to N inclusive, denoting possible heights of the stops in order of visiting.
-----Examples-----
Input
0
1
Output
2 1
Input
2
1
Output
1 3 4 2
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 stdout, stdin
import math
r = lambda : int(input())
ra = lambda : [*map(int, input().split())]
raw = lambda : [*stdin.readline()]
out = lambda a: stdout.write(''.join(a))
a = r()
b = r()
n = a + b + 1
p = [str(i + 1) + ' ' for i in range(1, n)]
res = []
if (a or b) == 0:
out('1')
else:
if a == 0:
res = p[0:b][::-1] + ['1']
elif b == 0:
res = ['1 '] + p[0:n]
else:
res = p[n - a - 2:n] + p[0:n - a - 2][::-1] + ['1']
out(res)
``` | vfc_142910 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/491/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "0\n1\n",
"output": "2 1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n1\n",
"output": "2 3 4 1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "0\n3\n",
"output": "4 3 2 1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1\n",
"output": "2 3 1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n7\n",
"output": "8 9 10 11 7 6 5 4 3 2 1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "37\n29\n",
"output": "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 66 67 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 \n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1411/E | Solve the following coding problem using the programming language python:
You've got a string $S$ consisting of $n$ lowercase English letters from your friend. It turned out that this is a number written in poman numerals. The poman numeral system is long forgotten. All that's left is the algorithm to transform number from poman numerals to the numeral system familiar to us. Characters of $S$ are numbered from $1$ to $n$ from left to right. Let's denote the value of $S$ as $f(S)$, it is defined as follows:
If $|S| > 1$, an arbitrary integer $m$ ($1 \le m < |S|$) is chosen, and it is defined that $f(S) = -f(S[1, m]) + f(S[m + 1, |S|])$, where $S[l, r]$ denotes the substring of $S$ from the $l$-th to the $r$-th position, inclusively.
Otherwise $S = c$, where $c$ is some English letter. Then $f(S) = 2^{pos(c)}$, where $pos(c)$ is the position of letter $c$ in the alphabet ($pos($a$) = 0$, $pos($z$) = 25$).
Note that $m$ is chosen independently on each step.
Your friend thinks it is possible to get $f(S) = T$ by choosing the right $m$ on every step. Is he right?
-----Input-----
The first line contains two integers $n$ and $T$ ($2 \leq n \leq 10^5$, $-10^{15} \leq T \leq 10^{15}$).
The second line contains a string $S$ consisting of $n$ lowercase English letters.
-----Output-----
Print "Yes" if it is possible to get the desired value. Otherwise, print "No".
You can print each letter in any case (upper or lower).
-----Examples-----
Input
2 -1
ba
Output
Yes
Input
3 -7
abc
Output
No
Input
7 -475391
qohshra
Output
Yes
-----Note-----
In the second example, you cannot get $-7$. But you can get $1$, for example, as follows:
First choose $m = 1$, then $f($abc$) = -f($a$) + f($bc$)$
$f($a$) = 2^0 = 1$
$f($bc$) = -f($b$) + f($c$) = -2^1 + 2^2 = 2$
In the end $f($abc$) = -1 + 2 = 1$
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(_, T) = [int(x) for x in input().split()]
L = [ord(x) - ord('a') for x in input()]
T -= 2 ** L[-1]
T += 2 ** L[-2]
L = L[:-2]
L.sort(reverse=True)
for c in L:
T += (1 if T < 0 else -1) * (1 << c)
print('Yes' if T == 0 else 'No')
``` | vfc_142914 | {
"difficulty": "hard",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1411/E",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2 -1\nba\n",
"output": "Yes\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 -7\nabc\n",
"output": "No\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7 -475391\nqohshra\n",
"output": "Yes\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1760/A | Solve the following coding problem using the programming language python:
Given three distinct integers $a$, $b$, and $c$, find the medium number between all of them.
The medium number is the number that is neither the minimum nor the maximum of the given three numbers.
For example, the median of $5,2,6$ is $5$, since the minimum is $2$ and the maximum is $6$.
-----Input-----
The first line contains a single integer $t$ ($1 \leq t \leq 6840$) — the number of test cases.
The description of each test case consists of three distinct integers $a$, $b$, $c$ ($1 \leq a, b, c \leq 20$).
-----Output-----
For each test case, output a single integer — the medium number of the three numbers.
-----Examples-----
Input
9
5 2 6
14 3 4
20 2 1
1 2 3
11 19 12
10 8 20
6 20 3
4 1 3
19 8 4
Output
5
4
2
2
12
10
6
3
8
-----Note-----
None
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())
ans = [0] * t
for i in range(t):
a = sorted(list(map(int, input().split())))
ans[i] = a[1]
print('\n'.join(map(str, ans)))
``` | vfc_142918 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1760/A",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "9\n5 2 6\n14 3 4\n20 2 1\n1 2 3\n11 19 12\n10 8 20\n6 20 3\n4 1 3\n19 8 4\n",
"output": "5\n4\n2\n2\n12\n10\n6\n3\n8\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1 3 2\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n1 2 3\n2 3 1\n",
"output": "2\n2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/SUMPOWER | Solve the following coding problem using the programming language python:
Read problems statements in Mandarin chinese, Russian and Vietnamese as well.
You work as an engineer. You were given an empty board with $K$ consecutive cells; at any moment, each cell can display one character.
You want the board to display a string $S$ with length $N > K$. Since the board isn't large enough, you want to display the string in $N-K+1$ steps. In the $i$-th step ($1 ≤ i ≤ N-K+1$), you'll make the board display the characters $S_{i}, S_{i+1}, \dots, S_{i+K-1}$.
The power required to switch the board from step $i$ to step $i+1$ (for $1 ≤ i ≤ N-K$) is equal to the number of characters displayed on the board that have to change between these steps. You should find the total power required for the whole process of displaying a string, i.e. the sum of powers required for switching between all consecutive pairs of steps.
------ 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 two space-separated integers $N$ and $K$.
The second line contains a single string $S$ with length $N$.
------ Output ------
For each test case, print a single line containing one integer — the total power required for text switching.
------ Constraints ------
$1 ≤ T ≤ 1,000$
$2 ≤ N ≤ 10^{5}$
$1 ≤ K < N$
each character of $S$ is a lowercase English letter
the sum of $N$ for all test cases does not exceed $10^{6}$
------ Subtasks ------
Subtask #1 (20 points):
$1 ≤ T ≤ 100$
$2 ≤ N ≤ 50$
Subtask #2 (80 points): original constraints
----- Sample Input 1 ------
3
6 3
aabbcc
5 2
abccc
4 3
aabb
----- Sample Output 1 ------
4
3
1
----- explanation 1 ------
Example case 1:
- In step $1$, the board is displaying "aab".
- In step $2$, the board is displaying "abb".
- In step $3$, the board is displaying "bbc".
- In step $4$, the board is displaying "bcc".
The power required for switching from the $1$-st to the $2$-nd step is $1$, because cell $1$ changes from 'a' to 'a' (requiring power $0$), cell $2$ changes from 'a' to 'b' (requiring power $1$) and cell $3$ changes from 'b' to 'b' (requiring power $0$); $0 + 1 + 0 = 1$.
The power required for switching between the $2$-nd and $3$-rd step is $2$ and the power required for switching between the $3$-rd and $4$-th step is $1$.
Therefore, the answer is $1 + 2 + 1 = 4$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
case = int(input())
for _ in range(case):
(n, k) = map(int, input().split(' '))
s = input()
arr = []
if n & 1 == 1:
value = n // 2
for i in range(value):
arr.append(i + 1)
for i in range(value, n):
arr.append(value)
value -= 1
else:
value = n // 2
for i in range(value):
arr.append(i + 1)
for i in range(value, n):
value -= 1
arr.append(value)
ans = 0
if k <= n // 2:
ans = k
else:
ans = n - k
res = 0
for i in range(n - 1):
if s[i] != s[i + 1]:
if arr[i] <= ans:
res += arr[i]
else:
res += ans
print(res)
``` | vfc_142922 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/SUMPOWER",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n6 3\naabbcc\n5 2\nabccc\n4 3\naabb",
"output": "4\n3\n1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/PROC2020/problems/ENGRIS | Solve the following coding problem using the programming language python:
Sandy is a professor at a very reputed institute. The institute mandates that all the lectures be communicated in English. As Sandy is not very good at English(or anything actually) the presentations he displays in class have a lot of spelling mistakes in them.
As you have a dictionary on you containing $N$ words in it, the responsibility of correctly deducing the misspelt word falls upon your shoulders. Sandy's presentation contains in them, $Q$ words which you $think$ are wrongly spelt. A word is misspelt if a $single$ letter in it is missing or is different from the corresponding correctly spelled word in your dictionary.
For each of the misspelt word in the presentation find out the corresponding correct word from your dictionary.
Note :
- For each misspelt word in Sandy's presentation, there exists one and only one correctly spelt word in your dictionary that corresponds to it.
- Out of the $Q$ misspelt words given to you, there might be some which are correctly spelt i.e., that word completely matches a word in your dictionary. (Give Sandy some credit, he's a teacher after all). For such words print the word corresponding to it in your dictionary.
- The maximum length of each string can be $L$.
-----Input:-----
- First line contains a single integer $T$ denoting the number of testcases. Then the testcases follow.
- The first line of each test case contains two space-separated integers $N, Q$ corresponding to the number of words in your dictionary and the number of misspelt word in Sandy's dictionary respectively.
- $N$ lines follow each containing a single string $S$ denoting a word in your dictionary.
- $Q$ lines follow each containing a single string $M$ denoting a misspelt word in Sandy's presentation.
-----Output:-----
In each testcase, for each of the $Q$ misspelt words, print a single word $S$ corresponding to the correctly spelt word in your dictionary.
-----Constraints-----
- $1 \leq T \leq 100$
- $1 \leq N \leq 200$
- $1 \leq Q \leq 200$
- $1 \leq L \leq 100$
- None of the words contain any spaces in them.
- Each letter in every word is in lower case.
-----Subtasks-----
-
Subtask 1 : 10 points
- $1 \leq N \leq 50$
- $1 \leq Q \leq 10$
-
Subtask 2 : 90 points
- Original Constraints
-----Sample Input:-----
1
5 2
szhbdvrngk
qzhxibnuec
jfsalpwfkospl
levjehdkjy
wdfhzgatuh
szhbdvcngk
qzhxbnuec
-----Sample Output:-----
szhbdvrngk
qzhxibnuec
-----EXPLANATION:-----
- In the first misspelt word $szhbdvcngk$, a single letter $c$ is different from the original word $szhbdvrngk$.
- The second misspelt word $qzhxbnuec$ is missing the letter $i$ that was in the original word $qzhxibnuec$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from difflib import get_close_matches
import sys, os
def closeMatches(patterns, word):
return get_close_matches(word, patterns, 1, 0.9)[0]
def get_string():
return sys.stdin.readline().strip()
def get_ints():
return map(int, sys.stdin.readline().strip().split())
ans = []
test = int(input())
for i in range(test):
(n, q) = get_ints()
n = int(n)
q = int(q)
patterns = []
for j in range(n):
s = get_string()
patterns.append(s)
for j in range(q):
word = get_string()
ans.append(closeMatches(patterns, word))
for j in ans:
sys.stdout.write(j + '\n')
``` | vfc_142926 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/PROC2020/problems/ENGRIS",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n5 2\nszhbdvrngk\nqzhxibnuec\njfsalpwfkospl\nlevjehdkjy\nwdfhzgatuh\nszhbdvcngk\nqzhxbnuec\n",
"output": "szhbdvrngk\nqzhxibnuec\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
In the good old days, the Internet was free from fears and terrorism. People did not have to worry about any cyber criminals or mad computer scientists. Today, however, you are facing atrocious crackers wherever you are, unless being disconnected. You have to protect yourselves against their attacks.
Counting upon your excellent talent for software construction and strong sense of justice, you are invited to work as a cyber guardian. Your ultimate mission is to create a perfect firewall system that can completely shut out any intruders invading networks and protect children from harmful information exposed on the Net. However, it is extremely difficult and none have ever achieved it before. As the first step, instead, you are now requested to write a software simulator under much simpler assumptions.
In general, a firewall system works at the entrance of a local network of an organization (e.g., a company or a university) and enforces its local administrative policy. It receives both inbound and outbound packets (note: data transmitted on the Net are divided into small segments called packets) and carefully inspects them one by one whether or not each of them is legal. The definition of the legality may vary from site to site or depend upon the local administrative policy of an organization. Your simulator should accept data representing not only received packets but also the local administrative policy.
For simplicity in this problem we assume that each network packet consists of three fields: its source address, destination address, and message body. The source address specifies the computer or appliance that transmits the packet and the destination address specifies the computer or appliance to which the packet is transmitted. An address in your simulator is represented as eight digits such as 03214567 or 31415926, instead of using the standard notation of IP addresses such as 192.168.1.1. Administrative policy is described in filtering rules, each of which specifies some collection of source-destination address pairs and defines those packets with the specified address pairs either legal or illegal.
Input
The input consists of several data sets, each of which represents filtering rules and received packets in the following format:
n m
rule1
rule2
...
rulen
packet1
packet2
...
packetm
The first line consists of two non-negative integers n and m. If both n and m are zeros, this means the end of input. Otherwise, n lines, each representing a filtering rule, and m lines, each representing an arriving packet, follow in this order. You may assume that n and m are less than or equal to 1,024.
Each rulei is in one of the following formats:
permit source-pattern destination-pattern
deny source-pattern destination-pattern
A source-pattern or destination-pattern is a character string of length eight, where each character is either a digit ('0' to '9') or a wildcard character '?'. For instance, "1????5??" matches any address whose first and fifth digits are '1' and '5', respectively. In general, a wildcard character matches any single digit while a digit matches only itself.
With the keywords "permit" and "deny", filtering rules specify legal and illegal packets, respectively. That is, if the source and destination addresses of a packed are matched with source-pattern and destination-pattern, respectively, it is permitted to pass the firewall or the request is denied according to the keyword. Note that a permit rule and a deny rule can contradict since they may share the same source and destination address pair. For the purpose of conflict resolution, we define a priority rule: rulei has a higher priority over rulej if and only if i > j. For completeness, we define the default rule: any packet is illegal unless being explicitly specified legal by some given rule.
A packet is in the following format:
source-address destination-address message-body
Each of the first two is a character string of length eight that consists solely of digits. The last one is a character string consisting solely of alphanumeric characters ('a' to 'z', 'A' to 'Z', and '0' to '9'). Neither whitespaces nor special characters can occur in a message body. You may assume that it is not empty and that its length is at most 50.
You may also assume that there is exactly one space character between any two adjacent fields in an input line representing a rule or a packet.
Output
For each data set, print the number of legal packets in the first line, followed by all legal packets in the same order as they occur in the data set. Each packet must be written exactly in one line. If the data set includes two packets consisting of the same source and destination addresses and the same message body, you should consider them different packets and so they must be written in different lines. Any extra whitespaces or extra empty lines must not be written.
Example
Input
2 5
permit 192168?? ?12??34?
deny 19216899 012343?5
19216711 11233340 HiIamACracker
19216891 01234345 Hello
19216899 01234345 HiIamAlsoACracker
19216809 11200340 World
00000000 99999999 TheEndOfTheWorld
1 2
permit 12345678 23456789
19216891 01234345 Hello
12345678 23456789 Hello
0 0
Output
2
19216891 01234345 Hello
19216809 11200340 World
1
12345678 23456789 Hello
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import re
while True:
(n, m) = map(int, input().split())
if n | m == 0:
break
(rule, ans) = ([], [])
for i in range(n):
(g, s, d) = input().split()
rule.append((g[0] == 'p', re.compile((s + d).replace('?', '\\d'))))
for i in range(m):
(s, d, m) = input().split()
sd = s + d
for (G, SD) in rule[::-1]:
if re.match(SD, sd):
if G:
ans.append((s, d, m))
break
print(len(ans))
for a in ans:
print(*a)
``` | vfc_142931 | {
"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": "2 5\npermit 192168?? ?12??34?\ndeny 19216899 012343?5\n19216711 11233340 HiIamACracker\n19216891 01234345 Hello\n19216899 01234345 HiIbmAlsoACracker\n19216809 11200340 World\n00000000 99999999 TheEndOfTheWorld\n1 2\npermit 12345678 23456789\n19216891 01234345 Hello\n12345678 23456789 Hello\n0 0",
"output": "2\n19216891 01234345 Hello\n19216809 11200340 World\n1\n12345678 23456789 Hello\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 5\npermit 192168?? ?12??34?\ndeny 19216899 012343?5\n19216711 11233340 HiIamACracker\n19216891 01234345 Hello\n19216899 01234345 HiIbmAlsoACracker\n19216809 11200340 World\n00000000 99999999 TheEndOfTheWorld\n1 2\npermit 12345678 23456789\n19216891 01234345 Hello\n12345678 23456789 Hdllo\n0 0",
"output": "2\n19216891 01234345 Hello\n19216809 11200340 World\n1\n12345678 23456789 Hdllo\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 5\npermit 192168?? ?12??34?\ndeny 19216899 012343?5\n19216711 11233340 HiIamACracker\n19216891 1954119 Hello\n19216899 01234345 HiIbmAlsoACracker\n19216809 11200340 World\n00000000 99999999 TheEndOfTheWorld\n1 2\npermit 12345678 23456789\n19216891 01234345 Hello\n12345678 23456789 Hdllo\n0 0",
"output": "1\n19216809 11200340 World\n1\n12345678 23456789 Hdllo\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 5\npermit 192168?? ?12??34?\ndeny 19216899 012334?5\n19216711 11233340 HiIamACracker\n19216891 1954119 Hello\n19216899 01234345 HiIbmAlsoACracker\n19216809 11200340 World\n00000000 99999999 TheEndOfTheWorld\n1 2\npermit 12345678 23456789\n19216891 01234345 Hello\n12345678 23456789 Hdllo\n0 0",
"output": "2\n19216899 01234345 HiIbmAlsoACracker\n19216809 11200340 World\n1\n12345678 23456789 Hdllo\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 5\npermit 192168?? ?12??34?\ndeny 19216899 012334?5\n19216711 11233340 HiIamACracker\n19216891 1954119 Hello\n19216899 01234345 HiIbmAlsoACcarker\n19216809 11200340 World\n00000000 99999999 TheEndOfTheWorld\n1 2\npermit 12345678 23456789\n19216891 01234345 Hello\n12345678 23456789 Hdllo\n0 0",
"output": "2\n19216899 01234345 HiIbmAlsoACcarker\n19216809 11200340 World\n1\n12345678 23456789 Hdllo\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/868/A | Solve the following coding problem using the programming language python:
As technologies develop, manufacturers are making the process of unlocking a phone as user-friendly as possible. To unlock its new phone, Arkady's pet dog Mu-mu has to bark the password once. The phone represents a password as a string of two lowercase English letters.
Mu-mu's enemy Kashtanka wants to unlock Mu-mu's phone to steal some sensible information, but it can only bark n distinct words, each of which can be represented as a string of two lowercase English letters. Kashtanka wants to bark several words (not necessarily distinct) one after another to pronounce a string containing the password as a substring. Tell if it's possible to unlock the phone in this way, or not.
-----Input-----
The first line contains two lowercase English letters — the password on the phone.
The second line contains single integer n (1 ≤ n ≤ 100) — the number of words Kashtanka knows.
The next n lines contain two lowercase English letters each, representing the words Kashtanka knows. The words are guaranteed to be distinct.
-----Output-----
Print "YES" if Kashtanka can bark several words in a line forming a string containing the password, and "NO" otherwise.
You can print each letter in arbitrary case (upper or lower).
-----Examples-----
Input
ya
4
ah
oy
to
ha
Output
YES
Input
hp
2
ht
tp
Output
NO
Input
ah
1
ha
Output
YES
-----Note-----
In the first example the password is "ya", and Kashtanka can bark "oy" and then "ah", and then "ha" to form the string "oyahha" which contains the password. So, the answer is "YES".
In the second example Kashtanka can't produce a string containing password as a substring. Note that it can bark "ht" and then "tp" producing "http", but it doesn't contain the password "hp" as a substring.
In the third example the string "hahahaha" contains "ah" as a substring.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
password = input()
N = int(input())
words = []
for i in range(N):
words += [input()]
f = False
for i in range(N):
for j in range(N):
if password in words[i] + words[j]:
f = True
break
if f:
print('YES')
else:
print('NO')
``` | vfc_142935 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/868/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "ya\n4\nah\noy\nto\nha\n",
"output": "YES\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1141/A | Solve the following coding problem using the programming language python:
Polycarp plays "Game 23". Initially he has a number $n$ and his goal is to transform it to $m$. In one move, he can multiply $n$ by $2$ or multiply $n$ by $3$. He can perform any number of moves.
Print the number of moves needed to transform $n$ to $m$. Print -1 if it is impossible to do so.
It is easy to prove that any way to transform $n$ to $m$ contains the same number of moves (i.e. number of moves doesn't depend on the way of transformation).
-----Input-----
The only line of the input contains two integers $n$ and $m$ ($1 \le n \le m \le 5\cdot10^8$).
-----Output-----
Print the number of moves to transform $n$ to $m$, or -1 if there is no solution.
-----Examples-----
Input
120 51840
Output
7
Input
42 42
Output
0
Input
48 72
Output
-1
-----Note-----
In the first example, the possible sequence of moves is: $120 \rightarrow 240 \rightarrow 720 \rightarrow 1440 \rightarrow 4320 \rightarrow 12960 \rightarrow 25920 \rightarrow 51840.$ The are $7$ steps in total.
In the second example, no moves are needed. Thus, the answer is $0$.
In the third example, it is impossible to transform $48$ to $72$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(n, m) = list(map(int, input().split()))
if m % n > 0:
print(-1)
else:
res = 0
a = m // n
while a % 2 == 0:
a //= 2
res += 1
while a % 3 == 0:
a //= 3
res += 1
if a == 1:
print(res)
else:
print(-1)
``` | vfc_142939 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1141/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "120 51840\n",
"output": "7\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "42 42\n",
"output": "0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/confused-pappu5749/1 | Solve the following coding problem using the programming language python:
Pappu is confused between 6 & 9. He works in the billing department of abc company and his work is to return the remaining amount to the customers. If the actual remaining amount is given we need to find the maximum possible extra amount given by the pappu to the customers.
Example 1:
Input: amount = 56
Output: 3
Explanation: maximum possible extra
amount = 59 - 56 = 3.
Example 2:
Input: amount = 66
Output: 33
Explanation: maximum possible extra
amount = 99 - 66 = 33.
User Task:
Your task is to complete the function findDiff() which takes single argument(amount) and returns the answer. You need not take any input or print anything.
Expected Time Complexity: O(log_{10}amount).
Expected Auxiliary Space: O(log_{10}amount).
Constraints
1 ≤ N≤ 10000001
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def findDiff(self, amount):
# 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 findDiff(self, amount):
str1 = str(amount)
str2 = ''
for i in range(len(str1)):
if str1[i] == '6':
str2 = str2 + '9'
else:
str2 = str2 + str1[i]
num = int(str2)
res = num - amount
return res
``` | vfc_142944 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/confused-pappu5749/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "amount = 56",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "amount = 66",
"output": "33",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/80/C | Solve the following coding problem using the programming language python:
The year of 2012 is coming...
According to an ancient choradrican legend in this very year, in 2012, Diablo and his brothers Mephisto and Baal will escape from hell, and innumerable hordes of demons will enslave the human world. But seven brave heroes have already gathered on the top of a mountain Arreat to protect us mere mortals from the effect of this terrible evil.
The seven great heroes are: amazon Anka, barbarian Chapay, sorceress Cleo, druid Troll, necromancer Dracul, paladin Snowy and a professional hit girl Hexadecimal. Heroes already know how much experience will be given for each of the three megabosses: a for Mephisto, b for Diablo and c for Baal.
Here's the problem: heroes are as much as seven and megabosses are only three! Then our heroes decided to split into three teams, where each team will go to destroy their own megaboss. Each team member will receive a <image> of experience, rounded down, where x will be the amount of experience for the killed megaboss and y — the number of people in the team.
Heroes do not want to hurt each other's feelings, so they want to split into teams so that the difference between the hero who received the maximum number of experience and the hero who received the minimum number of experience were minimal. Since there can be several divisions into teams, then you need to find the one in which the total amount of liking in teams were maximum.
It is known that some heroes like others. But if hero p likes hero q, this does not mean that the hero q likes hero p. No hero likes himself.
The total amount of liking in teams is the amount of ordered pairs (p, q), such that heroes p and q are in the same group, and hero p likes hero q (but it is not important if hero q likes hero p). In case of heroes p and q likes each other and they are in the same group, this pair should be counted twice, as (p, q) and (q, p).
A team can consist even of a single hero, but it is important that every megaboss was destroyed. All heroes must be involved in the campaign against evil. None of the heroes can be in more than one team.
It is guaranteed that every hero is able to destroy any megaboss alone.
Input
The first line contains a single non-negative integer n (0 ≤ n ≤ 42) — amount of liking between the heroes. Next n lines describe liking in the form "p likes q", meaning that the hero p likes the hero q (p ≠ q). Every liking is described in the input exactly once, no hero likes himself.
In the last line are given three integers a, b and c (1 ≤ a, b, c ≤ 2·109), separated by spaces: the experience for Mephisto, the experience for Diablo and experience for Baal.
In all the pretests, except for examples from the statement, the following condition is satisfied: a = b = c.
Output
Print two integers — the minimal difference in the experience between two heroes who will receive the maximum and minimum number of experience points, and the maximal total amount of liking in teams (the number of friendships between heroes that end up in one team).
When calculating the second answer, the team division should satisfy the difference-minimizing contraint. I.e. primary you should minimize the difference in the experience and secondary you should maximize the total amount of liking.
Examples
Input
3
Troll likes Dracul
Dracul likes Anka
Snowy likes Hexadecimal
210 200 180
Output
30 3
Input
2
Anka likes Chapay
Chapay likes Anka
10000 50 50
Output
1950 2
Note
A note to first example: it the first team should be Dracul, Troll and Anka, in the second one Hexadecimal and Snowy, and in the third Cleo и Chapay.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
from itertools import combinations, product
Teams = [[1, 1, 5], [1, 2, 4], [1, 3, 3], [2, 2, 3]]
Names = {}
Names['Anka'] = 0
Names['Chapay'] = 1
Names['Cleo'] = 2
Names['Dracul'] = 3
Names['Hexadecimal'] = 4
Names['Snowy'] = 5
Names['Troll'] = 6
graph = [[0] * 7 for _ in range(7)]
N = int(input())
for _ in range(N):
(p, q) = input().split(' likes ')
p = Names[p]
q = Names[q]
graph[p][q] = 1
(a, b, c) = sorted(map(int, input().split()))
E_diff_star = float('inf')
team_all = []
for (t1, t2, t3) in Teams:
E = [a // t1, b // t2, c // t3]
E_diff = max(E) - min(E)
if E_diff < E_diff_star:
E_diff_star = E_diff
team_all = [[t1, t2, t3]]
elif E_diff == E_diff_star:
team_all.append([t1, t2, t3])
liking = 0
for team in team_all:
for te2 in combinations(set(range(7)), team[2]):
te2 = set(te2)
left = set(range(7)) - te2
L2 = sum((graph[p][q] for (p, q) in product(te2, te2)))
for te1 in combinations(left, team[1]):
te1 = set(te1)
te0 = left - te1
L1 = sum((graph[p][q] for (p, q) in product(te1, te1)))
L0 = sum((graph[p][q] for (p, q) in product(te0, te0)))
L = L2 + L1 + L0
if L > liking:
liking = L
print(E_diff_star, liking)
``` | vfc_142945 | {
"difficulty": "medium",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/80/C",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "0\n2000000000 2000000000 1\n",
"output": "666666665 0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "22\nCleo likes Snowy\nCleo likes Troll\nChapay likes Dracul\nSnowy likes Troll\nDracul likes Chapay\nDracul likes Snowy\nChapay likes Cleo\nSnowy likes Chapay\nDracul likes Troll\nAnka likes Hexadecimal\nSnowy likes Anka\nHexadecimal likes Cleo\nHexadecimal likes Troll\nDracul likes Anka\nCleo likes Hexadecimal\nHexadecimal likes Dracul\nChapay likes Troll\nChapay likes Hexadecimal\nAnka likes Snowy\nTroll likes Hexadecimal\nSnowy likes Hexadecimal\nAnka likes Chapay\n458053183 602148195 994999698\n",
"output": "102639975 9\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/316/A2 | Solve the following coding problem using the programming language python:
Special Agent Smart Beaver works in a secret research department of ABBYY. He's been working there for a long time and is satisfied with his job, as it allows him to eat out in the best restaurants and order the most expensive and exotic wood types there.
The content special agent has got an important task: to get the latest research by British scientists on the English Language. These developments are encoded and stored in a large safe. The Beaver's teeth are strong enough, so the authorities assured that upon arriving at the place the beaver won't have any problems with opening the safe.
And he finishes his aspen sprig and leaves for this important task. Of course, the Beaver arrived at the location without any problems, but alas. He can't open the safe with his strong and big teeth. At this point, the Smart Beaver get a call from the headquarters and learns that opening the safe with the teeth is not necessary, as a reliable source has sent the following information: the safe code consists of digits and has no leading zeroes. There also is a special hint, which can be used to open the safe. The hint is string s with the following structure:
* if si = "?", then the digit that goes i-th in the safe code can be anything (between 0 to 9, inclusively);
* if si is a digit (between 0 to 9, inclusively), then it means that there is digit si on position i in code;
* if the string contains letters from "A" to "J", then all positions with the same letters must contain the same digits and the positions with distinct letters must contain distinct digits.
* The length of the safe code coincides with the length of the hint.
For example, hint "?JGJ9" has such matching safe code variants: "51919", "55959", "12329", "93539" and so on, and has wrong variants such as: "56669", "00111", "03539" and "13666".
After receiving such information, the authorities change the plan and ask the special agents to work quietly and gently and not to try to open the safe by mechanical means, and try to find the password using the given hint.
At a special agent school the Smart Beaver was the fastest in his platoon finding codes for such safes, but now he is not in that shape: the years take their toll ... Help him to determine the number of possible variants of the code to the safe, matching the given hint. After receiving this information, and knowing his own speed of entering codes, the Smart Beaver will be able to determine whether he will have time for tonight's show "Beavers are on the trail" on his favorite TV channel, or he should work for a sleepless night...
Input
The first line contains string s — the hint to the safe code. String s consists of the following characters: ?, 0-9, A-J. It is guaranteed that the first character of string s doesn't equal to character 0.
The input limits for scoring 30 points are (subproblem A1):
* 1 ≤ |s| ≤ 5.
The input limits for scoring 100 points are (subproblems A1+A2):
* 1 ≤ |s| ≤ 105.
Here |s| means the length of string s.
Output
Print the number of codes that match the given hint.
Examples
Input
AJ
Output
81
Input
1?AA
Output
100
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import math
s = input()
ques = s[1:].count('?')
d = {'A': 0, 'B': 0, 'C': 0, 'D': 0, 'E': 0, 'F': 0, 'G': 0, 'H': 0, 'I': 0, 'J': 0}
digit = set([str(i) for i in range(0, 10)])
digit.add('?')
ans = 1
ans *= pow(10, ques)
count = 0
for i in range(1, len(s)):
if s[i] not in digit and d[s[i]] == 0:
count += 1
d[s[i]] = 1
start = 10
if s[0] in d and d[s[0]] == 1:
count -= 1
ans *= 9
start = 9
if s[0] in d and d[s[0]] == 0:
ans *= 9
start = 9
while count != 0:
ans *= start
start -= 1
count -= 1
if s[0] == '?':
ans *= 9
print(ans)
``` | vfc_142949 | {
"difficulty": "medium",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/316/A2",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "???\n",
"output": "900",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "??JG?\n",
"output": "81000",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9???\n",
"output": "1000",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "B?\n",
"output": "90",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "A\n",
"output": "9",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/PAR2 | Solve the following coding problem using the programming language python:
Ashu and Arvind participated in a coding contest, as a result of which they received N chocolates. Now they want to divide the chocolates between them equally.
Can you help them by deciding if it is possible for them to divide all the N chocolates in such a way that they each get an equal number of chocolates?
You cannot break a chocolate in two or more pieces.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- The first and only line of each test case contains a single integer N — the number of chocolates they received.
------ Output Format ------
For each test case output the answer on a new line — "Yes" (without quotes) if they can divide chocolates between them equally, and "No" (without quotes) otherwise.
Each letter of the output may be printed in either uppercase or lowercase, i.e, "Yes", "YES", and "yEs" will all be treated as equivalent.
------ Constraints ------
$1 ≤ T ≤ 10$
$1 ≤ N ≤ 10$
----- Sample Input 1 ------
4
10
4
3
2
----- Sample Output 1 ------
Yes
Yes
No
Yes
----- explanation 1 ------
Test case $1$: They can divide $10$ chocolates such that both of them get $5$ chocolates each.
Test case $2$: They can divide $4$ chocolates such that both of them get $2$ chocolates each.
Test case $3$: There is no way to divide $3$ chocolates so that they get equal number of chocolates.
Test case $4$: They can divide $2$ chocolates such that both of them get $1$ chocolate each.
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())
if n % 2 == 0:
print('Yes')
else:
print('No')
``` | vfc_142957 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/PAR2",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n10\n4\n3\n2\n",
"output": "Yes\nYes\nNo\nYes",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/842/B | Solve the following coding problem using the programming language python:
Gleb ordered pizza home. When the courier delivered the pizza, he was very upset, because several pieces of sausage lay on the crust, and he does not really like the crust.
The pizza is a circle of radius r and center at the origin. Pizza consists of the main part — circle of radius r - d with center at the origin, and crust around the main part of the width d. Pieces of sausage are also circles. The radius of the i -th piece of the sausage is r_{i}, and the center is given as a pair (x_{i}, y_{i}).
Gleb asks you to help determine the number of pieces of sausage caught on the crust. A piece of sausage got on the crust, if it completely lies on the crust.
-----Input-----
First string contains two integer numbers r and d (0 ≤ d < r ≤ 500) — the radius of pizza and the width of crust.
Next line contains one integer number n — the number of pieces of sausage (1 ≤ n ≤ 10^5).
Each of next n lines contains three integer numbers x_{i}, y_{i} and r_{i} ( - 500 ≤ x_{i}, y_{i} ≤ 500, 0 ≤ r_{i} ≤ 500), where x_{i} and y_{i} are coordinates of the center of i-th peace of sausage, r_{i} — radius of i-th peace of sausage.
-----Output-----
Output the number of pieces of sausage that lay on the crust.
-----Examples-----
Input
8 4
7
7 8 1
-7 3 2
0 2 1
0 -2 2
-3 -3 1
0 6 2
5 3 1
Output
2
Input
10 8
4
0 0 9
0 0 10
1 0 1
1 0 2
Output
0
-----Note-----
Below is a picture explaining the first example. Circles of green color denote pieces of sausage lying on the crust.
[Image]
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
stroka = input()
k = ''
for i in range(0, len(stroka)):
if stroka[i] == ' ':
R = int(k)
k = ''
else:
k += stroka[i]
d = int(k)
n = int(input())
x = []
y = []
r = []
answer = 0
for i in range(0, n):
stroka = input()
k = ''
count = 1
for i in range(0, len(stroka)):
if stroka[i] == ' ':
if count == 1:
x.append(int(k))
else:
y.append(int(k))
count += 1
k = ''
else:
k += stroka[i]
r.append(int(k))
for i in range(0, n):
line = (x[i] ** 2 + y[i] ** 2) ** 0.5
if line - r[i] >= R - d and line + r[i] <= R:
answer += 1
print(answer)
``` | vfc_142965 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/842/B",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "8 4\n7\n7 8 1\n-7 3 2\n0 2 1\n0 -2 2\n-3 -3 1\n0 6 2\n5 3 1",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10 8\n4\n0 0 9\n0 0 10\n1 0 1\n1 0 2",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 0\n1\n1 1 0\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 0\n5\n3 0 0\n0 3 0\n-3 0 0\n0 -3 0\n3 0 1\n",
"output": "4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 3\n1\n500 500 10\n",
"output": "0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "9 0\n5\n8 1 0\n8 2 0\n8 3 0\n-8 3 0\n-8 2 0\n",
"output": "0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Example
Input
anagram
grandmother
Output
4
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
s1 = input()
s2 = input()
cA = ord('a')
s1 = [ord(e) - cA for e in s1]
l1 = len(s1)
s2 = [ord(e) - cA for e in s2]
l2 = len(s2)
ans = 0
for l in range(1, min(l1, l2) + 1):
s = set()
use = [0] * 26
for i in range(l - 1):
use[s1[i]] += 1
for i in range(l - 1, l1):
use[s1[i]] += 1
s.add(tuple(use))
use[s1[i - l + 1]] -= 1
cnt = [0] * 26
for i in range(l - 1):
cnt[s2[i]] += 1
for i in range(l - 1, l2):
cnt[s2[i]] += 1
if tuple(cnt) in s:
ans = l
break
cnt[s2[i - l + 1]] -= 1
print(ans)
``` | vfc_142969 | {
"difficulty": "unknown_difficulty",
"memory_limit": "268.435456 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "10.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "anagram\ngrandmosher",
"output": "4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "anbgram\ngrandmosher",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "anbfram\ngrandmosher",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "narfamb\nreoahmodsrg",
"output": "1\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/439/E | Solve the following coding problem using the programming language python:
Today is Devu's birthday. For celebrating the occasion, he bought n sweets from the nearby market. He has invited his f friends. He would like to distribute the sweets among them. As he is a nice guy and the occasion is great, he doesn't want any friend to be sad, so he would ensure to give at least one sweet to each friend.
He wants to celebrate it in a unique style, so he would like to ensure following condition for the distribution of sweets. Assume that he has distributed n sweets to his friends such that i^{th} friend is given a_{i} sweets. He wants to make sure that there should not be any positive integer x > 1, which divides every a_{i}.
Please find the number of ways he can distribute sweets to his friends in the required way. Note that the order of distribution is important, for example [1, 2] and [2, 1] are distinct distributions. As the answer could be very large, output answer modulo 1000000007 (10^9 + 7).
To make the problem more interesting, you are given q queries. Each query contains an n, f pair. For each query please output the required number of ways modulo 1000000007 (10^9 + 7).
-----Input-----
The first line contains an integer q representing the number of queries (1 ≤ q ≤ 10^5). Each of the next q lines contains two space space-separated integers n, f (1 ≤ f ≤ n ≤ 10^5).
-----Output-----
For each query, output a single integer in a line corresponding to the answer of each query.
-----Examples-----
Input
5
6 2
7 2
6 3
6 4
7 4
Output
2
6
9
10
20
-----Note-----
For first query: n = 6, f = 2. Possible partitions are [1, 5] and [5, 1].
For second query: n = 7, f = 2. Possible partitions are [1, 6] and [2, 5] and [3, 4] and [4, 3] and [5, 3] and [6, 1]. So in total there are 6 possible ways of partitioning.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import itertools
import functools
import operator
N = 100001
P = 10 ** 9 + 7
fact = [1]
for i in range(1, N):
fact.append(fact[-1] * i % P)
inv = [0, 1]
for i in range(2, N):
inv.append(P - P // i * inv[P % i] % P)
inv_fact = [1]
for i in range(1, N):
inv_fact.append(inv_fact[-1] * inv[i] % P)
least_div = [-1] * N
primes = []
for p in range(2, N):
if least_div[p] == -1:
primes.append(p)
least_div[p] = p
ldiv = least_div[p]
for mult in primes:
mark = mult * p
if mult > ldiv or mark >= N:
break
least_div[mark] = mult
t = int(input())
def powerset(iterable):
s = list(iterable)
return itertools.chain.from_iterable((itertools.combinations(s, r) for r in range(len(s) + 1)))
@functools.lru_cache(maxsize=None)
def factor(n):
ret = []
while n != 1:
tmp = least_div[n]
if not (ret and ret[-1] == tmp):
ret.append(tmp)
n //= tmp
return ret
@functools.lru_cache(maxsize=None)
def solve(n, k):
divs = factor(n)
ret = 0
for subset in powerset(divs):
div = functools.reduce(operator.mul, subset, 1)
if n // div >= k:
tmp = fact[n // div - 1] * inv_fact[n // div - k] % P * inv_fact[k - 1] % P
ret += (-1 if len(subset) % 2 == 1 else 1) * tmp
ret %= P
return ret
for _ in range(t):
(n, k) = map(int, input().split())
print(solve(n, k))
``` | vfc_142973 | {
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/439/E",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n6 2\n7 2\n6 3\n6 4\n7 4\n",
"output": "2\n6\n9\n10\n20\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/COOK22/problems/LUCKYBAL | Solve the following coding problem using the programming language python:
A Little Elephant from the Zoo of Lviv likes lucky strings, i.e., the strings that consist only of the lucky digits 4 and 7.
The Little Elephant calls some string T of the length M balanced if there exists at least one integer X (1 ≤ X ≤ M) such that the number of digits 4 in the substring T[1, X - 1] is equal to the number of digits 7 in the substring T[X, M]. For example, the string S = 7477447 is balanced since S[1, 4] = 7477 has 1 digit 4 and S[5, 7] = 447 has 1 digit 7. On the other hand, one can verify that the string S = 7 is not balanced.
The Little Elephant has the string S of the length N. He wants to know the number of such pairs of integers (L; R) that 1 ≤ L ≤ R ≤ N and the substring S[L, R] is balanced. Help him to find this number.
Notes.
Let S be some lucky string. Then
- |S| denotes the length of the string S;
- S[i] (1 ≤ i ≤ |S|) denotes the ith character of S (the numeration of characters starts from 1);
- S[L, R] (1 ≤ L ≤ R ≤ |S|) denotes the string with the following sequence of characters: S[L], S[L + 1], ..., S[R], and is called a substring of S. For L > R we mean by S[L, R] an empty string.
-----Input-----
The first line of the input file contains a single integer T, the number of test cases. Each of the following T lines contains one string, the string S for the corresponding test case. The input file does not contain any whitespaces.
-----Output-----
For each test case output a single line containing the answer for this test case.
-----Constraints-----
1 ≤ T ≤ 10
1 ≤ |S| ≤ 100000
S consists only of the lucky digits 4 and 7.
-----Example-----
Input:
4
47
74
477
4747477
Output:
2
2
3
23
-----Explanation-----
In the first test case balance substrings are S[1, 1] = 4 and S[1, 2] = 47.
In the second test case balance substrings are S[2, 2] = 4 and S[1, 2] = 74.
Unfortunately, we can't provide you with the explanations of the third and the fourth test cases. You should figure it out by yourself. Please, don't ask about this in comments.
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 x in range(0, x):
ans = 0
d = input()
a = 0
cont = 0
for i in range(0, len(d)):
a += len(d) - i
if d[i] == '7':
ans += 1 + cont
cont += 1
else:
cont = 0
ans = a - ans
print(ans)
``` | vfc_142977 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/COOK22/problems/LUCKYBAL",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n47\n74\n477\n4747477\n\n\n",
"output": "2\n2\n3\n23\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.hackerrank.com/challenges/bowling-pins/problem | Solve the following coding problem using the programming language python:
Bowling is a sport in which a player rolls a bowling ball towards a group of pins, the target being to knock down the pins at the end of a lane.
In this challenge, the rules of the game are slightly modified. Now, there are a given number of pins, and the pins are arranged in a horizontal line instead of a triangular formation. Two players have to play this game, taking alternate turns. Whoever knocks down the last pin(s) will be declared the winner.
You are playing this game with your friend, and both of you have become proficient at it. You can knock down any single pin, or any two adjacent pins at one throw of a bowling ball, however, these are the only moves that you can perform. Some moves have already been played. Suddenly, you realize that it is possible to determine whether this game can be won or not, assuming optimal play. And luckily it's your turn right now.
A configuration is represented by a string consisting of the letters X and I, where:
I represents a position containing a pin.
X represents a position where a pin has been knocked down.
An example of such a configuration is shown in the image below. Here, the number of pins is $13$, and the $2^{\text{nd}}$ pin has already been knocked down.
Its representation will be IXIIIIIIIIIII.
Complete the function isWinning that takes the number of pins and the configuration of the pins as input, and return WIN or LOSE based on whether or not you will win.
Given the current configuration of the pins, if both of you play optimally, determine whether you will win this game or not.
Note
A player has to knock down at least one pin in his turn.
Both players play optimally.
Input Format
The first line contains an integer, $\boldsymbol{\boldsymbol{t}}$, the number of test cases. Then $\boldsymbol{\boldsymbol{t}}$ test cases follow.
For each test case, the first line contains a single integer $n$, denoting the number of pins. The second line contains a string of $n$ letters, where each letter is either I or X.
Constraints
$1\leq t\leq1000$
$1\leq n\leq300$
Each letter of the string (representing the configuration) is either I or X.
There will be at least one I in the string.
Output Format
For each test case, print a single line containing WIN if you will win this game, otherwise LOSE.
Sample Input 0
4
4
IXXI
4
XIIX
5
IIXII
5
IIIII
Sample Output 0
LOSE
WIN
LOSE
WIN
Explanation 0
Test Case 1: As the $2$ pins are not adjacent, they can't be knocked down in a single turn. Therefore, you can only knock down one of the two pins. Then, in the next turn, your friend will knock down the last pin.
Test Case 2: You can knock down both pins in a single turn.
Test Case 3: You can knock down one or two pins from either side. Your friend can just copy your move on the other side and will be able to get the last move, hence win the game.
Test Case 4: You can knock the middle pin, thus resulting in the configuration IIXII for your friend. Now, this configuration is the same as the previous test case. The difference is that now it is your friend's turn and you can copy his shot on the other side.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def game_from(board: str) -> list:
game = []
count = 0
for c in board:
if c == 'I':
count += 1
elif count > 0:
game.append(count)
count = 0
if count > 0:
game.append(count)
return game
def moves_for(n: int, hits: [int]) -> [list]:
moves = []
for hit in hits:
left = 0
right = n - hit
while left <= right:
if left == 0 and right == 0:
continue
elif right < 1 <= left:
moves.append([left])
elif left < 1 <= right:
moves.append([right])
else:
moves.append([left, right])
left += 1
right -= 1
return moves
def mex_of(s: set) -> int:
mex = 0
while mex in s:
mex += 1
return mex
def g_of(n: int, cache: dict) -> int:
if n < 3:
return n
else:
result = cache.get(n, None)
if result is not None:
return result
moves = moves_for(n, [1, 2])
s = set()
for move in moves:
if len(move) == 1:
s.add(g_of(move[0], cache))
else:
s.add(g_of(move[0], cache) ^ g_of(move[1], cache))
result = mex_of(s)
cache[n] = result
return result
def winner(board: str, cache: dict) -> str:
game = game_from(board)
g = 0
for i in game:
g ^= g_of(i, cache)
return 'WIN' if g != 0 else 'LOSE'
n = int(input().strip())
c = {}
for i in range(n):
input()
g = list(input().strip())
print(winner(g, c))
``` | vfc_142981 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/bowling-pins/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n4\nIXXI\n4\nXIIX\n5\nIIXII\n5\nIIIII\n",
"output": "LOSE\nWIN\nLOSE\nWIN\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/THEATRE | Solve the following coding problem using the programming language python:
Chef's friend Alex runs a movie theatre. Due to the increasing number of platforms for watching movies online, his business is not running well. As a friend, Alex asked Chef to help him maximise his profits. Since Chef is a busy person, he needs your help to support his friend Alex.
Alex's theatre has four showtimes: 12 PM, 3 PM, 6 PM and 9 PM. He has four movies which he would like to play ― let's call them A, B, C and D. Each of these movies must be played exactly once and all four must be played at different showtimes. For each showtime, the price of a ticket must be one of the following: Rs 25, Rs 50, Rs 75 or Rs 100. The prices of tickets for different showtimes must also be different.
Through his app, Alex receives various requests from his customers. Each request has the form "I want to watch this movie at this showtime". Let's assume that the number of people who come to watch a movie at a given showtime is the same as the number of requests for that movie at that showtime.
It is not necessary to accommodate everyone's requests ― Alex just wants to earn the maximum amount of money. There is no restriction on the capacity of the theatre. However, for each movie that is not watched by anyone, Alex would suffer a loss of Rs 100 (deducted from the profit).
You are given $N$ requests Alex received during one day. Find the maximum amount of money he can earn on that day by choosing when to play which movies and with which prices.
-----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 $N$.
- $N$ lines follow. Each of these lines contains a character $m$, followed by a space and an integer $t$, describing a request to see the movie $m$ at the showtime $t$.
-----Output-----
For each test case, print a single line containing one integer ― the maximum profit Alex can earn (possibly negative).
Finally, print a line containing one integer ― the total profit over all test cases, i.e. over $T$ days.
-----Constraints-----
- $1 \le T \le 150$
- $0 \le N \le 100$
- $m$ is 'A', 'B', 'C' or 'D'
- $t$ is $12$, $3$, $6$ or $9$
-----Subtasks-----
Subtask #1 (30 points): it is possible to fulfill all requests
Subtask #2 (70 points): original constraints
-----Example Input-----
5
12
A 3
B 12
C 6
A 9
B 12
C 12
D 3
B 9
D 3
B 12
B 9
C 6
7
A 9
A 9
B 6
C 3
D 12
A 9
B 6
2
A 9
B 6
1
D 12
0
-----Example Output-----
575
525
-25
-200
-400
475
-----Explanation-----
Example case 1: The following table shows the number of people that want to watch the movies at the given showtimes: 12 3 6 9 A 0 1 0 1 B 3 0 0 2 C 1 0 2 0 D 0 2 0 0
The maximum number of requests was sent for movie B at 12 PM. Therefore, we play this movie at this time and the tickets cost Rs 100. Next, we play movie D at 3 PM with ticket price Rs 75 and movie C at 6 PM with ticket price Rs 50. Finally, we have a slot for 9 PM and the only movie we can play at that time now is movie A, with ticket price Rs 25. The total profit is $3 \cdot 100 + 2 \cdot 75 + 2 \cdot 50 + 1 \cdot 25 = 300 + 150 + 100 + 25 = 575$. Since each movie was watched by at least one person, there is no additional loss.
Example case 2: Just like above, we show the requests in a table: 12 3 6 9 A 0 0 0 3 B 0 0 2 0 C 0 1 0 0 D 1 0 0 0
The optimal solution is to play movie A at 9 PM, movie B at 6 PM, movie C at 3 PM and movie D at 12 PM, with decreasing ticket prices in this order. The profit is $3 \cdot 100 + 2 \cdot 75 + 1 \cdot 50 + 1 \cdot 25 = 300+150+50+25 = 525$.
Example case 3: Again, we show the requests in a table: 12 3 6 9 A 0 0 0 1 B 0 0 1 0 C 0 0 0 0 D 0 0 0 0
The optimal solution is to play movie A at 9 PM with ticket price Rs 100, movie B at 6 PM with ticket price Rs 75 and the remaining two movies in any order at 12 PM and 3 PM ― either way, there will be nobody watching them. We earn $1 \cdot 100 + 1 \cdot 75 = 175$, but we have to deduct Rs 200, so the resulting profit is $175 - 200 = -25$.
Example case 4: The optimal solution is to play movie D at 12 PM; the other three movies go unattended. We have to deduct Rs 300, so the profit is $1 \cdot 100 - 300 = -200$.
Example case 5: Since there are no requests for any movie at any time, all movies go unattended and Alex just suffers a loss of Rs 400.
The total profit for all 5 days is $575+525-25-200-400 = 475$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
ans = 0
for _ in range(int(input())):
n = int(input())
(A, B, C, D) = ([0] * 4, [0] * 4, [0] * 4, [0] * 4)
for i in range(n):
(m, t) = map(str, input().split())
if m == 'A':
if t == '12':
A[0] += 1
elif t == '3':
A[1] += 1
elif t == '6':
A[2] += 1
else:
A[3] += 1
elif m == 'B':
if t == '12':
B[0] += 1
elif t == '3':
B[1] += 1
elif t == '6':
B[2] += 1
else:
B[3] += 1
elif m == 'C':
if t == '12':
C[0] += 1
elif t == '3':
C[1] += 1
elif t == '6':
C[2] += 1
else:
C[3] += 1
elif t == '12':
D[0] += 1
elif t == '3':
D[1] += 1
elif t == '6':
D[2] += 1
else:
D[3] += 1
ans1 = -400
for i in range(4):
for j in range(4):
if j == i:
continue
for k in range(4):
if k == i or k == j:
continue
for l in range(4):
if l == i or l == j or l == k:
continue
din = [A[i], B[j], C[k], D[l]]
din.sort(reverse=True)
count = 100 * din[0] + 75 * din[1] + 50 * din[2] + 25 * din[3]
count -= 100 * din.count(0)
if count > ans1:
ans1 = count
print(ans1)
ans += ans1
print(ans)
``` | vfc_142986 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/THEATRE",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n12\nA 3\nB 12\nC 6\nA 9\nB 12\nC 12\nD 3\nB 9\nD 3\nB 12\nB 9\nC 6\n7\nA 9\nA 9\nB 6\nC 3\nD 12\nA 9\nB 6\n2\nA 9\nB 6\n1\nD 12\n0\n",
"output": "575\n525\n-25\n-200\n-400\n475\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1547/D | Solve the following coding problem using the programming language python:
A sequence of non-negative integers $a_1, a_2, \dots, a_n$ is called growing if for all $i$ from $1$ to $n - 1$ all ones (of binary representation) in $a_i$ are in the places of ones (of binary representation) in $a_{i + 1}$ (in other words, $a_i \:\&\: a_{i + 1} = a_i$, where $\&$ denotes bitwise AND ). If $n = 1$ then the sequence is considered growing as well.
For example, the following four sequences are growing:
$[2, 3, 15, 175]$ — in binary it's $[10_2, 11_2, 1111_2, 10101111_2]$;
$[5]$ — in binary it's $[101_2]$;
$[1, 3, 7, 15]$ — in binary it's $[1_2, 11_2, 111_2, 1111_2]$;
$[0, 0, 0]$ — in binary it's $[0_2, 0_2, 0_2]$.
The following three sequences are non-growing:
$[3, 4, 5]$ — in binary it's $[11_2, 100_2, 101_2]$;
$[5, 4, 3]$ — in binary it's $[101_2, 100_2, 011_2]$;
$[1, 2, 4, 8]$ — in binary it's $[0001_2, 0010_2, 0100_2, 1000_2]$.
Consider two sequences of non-negative integers $x_1, x_2, \dots, x_n$ and $y_1, y_2, \dots, y_n$. Let's call this pair of sequences co-growing if the sequence $x_1 \oplus y_1, x_2 \oplus y_2, \dots, x_n \oplus y_n$ is growing where $\oplus$ denotes bitwise XOR .
You are given a sequence of integers $x_1, x_2, \dots, x_n$. Find the lexicographically minimal sequence $y_1, y_2, \dots, y_n$ such that sequences $x_i$ and $y_i$ are co-growing.
The sequence $a_1, a_2, \dots, a_n$ is lexicographically smaller than the sequence $b_1, b_2, \dots, b_n$ if there exists $1 \le k \le n$ such that $a_i = b_i$ for any $1 \le i < k$ but $a_k < b_k$.
-----Input-----
The first line contains an integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow.
The first line of each test case contains an integer $n$ ($1 \le n \le 2 \cdot 10^5$) — length of the sequence $x_i$.
The second line contains $n$ integers $x_1, x_2, \dots, x_n$ ($0 \le x_i < 2^{30}$) — elements of the sequence $x_i$.
It is guaranteed that the sum of $n$ overall all test cases doesn't exceed $2 \cdot 10^5$.
-----Output-----
For each test case, print $n$ integers $y_1, y_2, \dots, y_n$ ($0 \le y_i < 2^{30}$) — lexicographically minimal sequence such that such that it's co-growing with given sequence $x_i$.
-----Examples-----
Input
5
4
1 3 7 15
4
1 2 4 8
5
1 2 3 4 5
4
11 13 15 1
1
0
Output
0 0 0 0
0 1 3 7
0 1 0 3 2
0 2 0 14
0
-----Note-----
None
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())
x = list(map(int, input().split()))
y = [0]
for i in range(1, n):
newx = x[i - 1] | x[i]
y.append(newx ^ x[i])
x[i] = newx
print(*y)
return
t = int(input())
for _ in range(t):
main()
``` | vfc_142990 | {
"difficulty": "easy",
"memory_limit": "512 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1547/D",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5\n4\n1 3 7 15\n4\n1 2 4 8\n5\n1 2 3 4 5\n4\n11 13 15 1\n1\n0\n",
"output": "0 0 0 0 \n0 1 3 7 \n0 1 0 3 2 \n0 2 0 14 \n0 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n4\n1 3 7 15\n4\n1 2 4 5\n5\n1 2 3 4 5\n4\n11 13 15 1\n1\n0\n",
"output": "0 0 0 0\n0 1 3 2\n0 1 0 3 2\n0 2 0 14\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n4\n1 3 7 15\n4\n1 2 4 5\n5\n1 2 0 4 5\n4\n11 13 15 1\n1\n0\n",
"output": "0 0 0 0\n0 1 3 2\n0 1 3 3 2\n0 2 0 14\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n4\n1 3 7 15\n4\n1 2 4 5\n5\n1 0 0 4 5\n4\n11 13 15 1\n1\n0\n",
"output": "0 0 0 0\n0 1 3 2\n0 1 1 1 0\n0 2 0 14\n0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/132/A | Solve the following coding problem using the programming language python:
INTERCAL is the oldest of esoteric programming languages. One of its many weird features is the method of character-based output, known as Turing Tape method. It converts an array of unsigned 8-bit integers into a sequence of characters to print, using the following method.
The integers of the array are processed one by one, starting from the first. Processing i-th element of the array is done in three steps:
1. The 8-bit binary notation of the ASCII-code of the previous printed character is reversed. When the first element of the array is processed, the result of this step is considered to be 0.
2. The i-th element of the array is subtracted from the result of the previous step modulo 256.
3. The binary notation of the result of the previous step is reversed again to produce ASCII-code of the i-th character to be printed.
You are given the text printed using this method. Restore the array used to produce this text.
Input
The input will consist of a single line text which contains the message printed using the described method. String text will contain between 1 and 100 characters, inclusive. ASCII-code of each character of text will be between 32 (space) and 126 (tilde), inclusive.
Output
Output the initial array, which was used to produce text, one integer per line.
Examples
Input
Hello, World!
Output
238
108
112
0
64
194
48
26
244
168
24
16
162
Note
Let's have a closer look at the beginning of the example. The first character is "H" with ASCII-code 72 = 010010002. Its reverse is 000100102 = 18, and this number should become the result of the second step of processing. The result of the first step is considered to be 0, so the first element of the array has to be (0 - 18) mod 256 = 238, where a mod b is the remainder of division of a by b.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
ans = 0
for i in input():
t = bin(ord(i))[2:][::-1]
k = int(t + '0' * (8 - len(t)), 2)
print((ans - k) % 256)
ans = k
``` | vfc_142995 | {
"difficulty": "easy",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/132/A",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "o2^\"t\n",
"output": "10\n170\n210\n54\n22\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "w7zw3)Vw&h\n",
"output": "18\n2\n142\n112\n34\n56\n42\n124\n138\n78\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/number-of-open-doors1552/1 | Solve the following coding problem using the programming language python:
Consider a long alley with a N number of doors on one side. All the doors are closed initially. You move to and fro in the alley changing the states of the doors as follows: you open a door that is already closed and you close a door that is already opened. You start at one end go on altering the state of the doors till you reach the other end and then you come back and start altering the states of the doors again.
In the first go, you alter the states of doors numbered 1, 2, 3, , n.
In the second go, you alter the states of doors numbered 2, 4, 6
In the third go, you alter the states of doors numbered 3, 6, 9
You continue this till the Nth go in which you alter the state of the door numbered N.
You have to find the number of open doors at the end of the procedure.
Example 1:
Input:
N = 2
Output:
1
Explanation:
Initially all doors are closed.
After 1st go, all doors will be opened.
After 2nd go second door will be closed.
So, Only 1st door will remain Open.
Example 2:
Input:
N = 4
Output:
2
Explanation:
Following the sequence 4 times, we can
see that only 1st and 4th doors will
remain open.
Your Task:
You don't need to read input or print anything. Your task is to complete the function noOfOpenDoors() which takes an Integer N as input and returns the answer.
Expected Time Complexity: O(√N)
Expected Auxiliary Space: O(1)
Constraints:
1 <= N <= 10^{12}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def noOfOpenDoors(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
from math import sqrt
class Solution:
def noOfOpenDoors(self, N):
return int(sqrt(N))
``` | vfc_143001 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/number-of-open-doors1552/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 2",
"output": "1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 4",
"output": "2",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/ishaan-loves-chocolates2156/1 | Solve the following coding problem using the programming language python:
As we know, Ishaan has a love for chocolates. He has bought a huge chocolate bar that contains N chocolate squares. Each of the squares has a tastiness level which is denoted by an array A[].
Ishaan can eat the first or the last square of the chocolate at once. Ishaan has a sister who loves chocolates too and she demands the last chocolate square. Now, Ishaan being greedy eats the more tasty square first.
Determine the tastiness level of the square which his sister gets.
Example 1:
Input : arr[ ] = {5, 3, 1, 6, 9}
Output : 1
Explanation:
Initially: 5 3 1 6 9
In first step: 5 3 1 6
In Second step: 5 3 1
In Third step: 3 1
In Fourth step: 1
Return 1
Example 2:
Input : arr[ ] = {5, 9, 2, 6}
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 chocolates() that takes an array (arr), sizeOfArray (n) and return the tastiness level of the square which his sister gets. The driver code takes care of the printing.
Expected Time Complexity: O(N).
Expected Auxiliary Space: O(1).
Constraints :
1 ≤ N ≤ 10^{5}
1 ≤ A[i] ≤ 10^{9}
Write your solution by modifying this code:
```python
from typing import List
class Solution:
def chocolates(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
class Solution:
def chocolates(self, n: int, arr: List[int]) -> int:
return min(arr)
``` | vfc_143002 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/ishaan-loves-chocolates2156/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "arr[ ] = {5, 3, 1, 6, 9}",
"output": "1",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "arr[ ] = {5, 9, 2, 6}",
"output": "2",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/234ca3b438298fb04befd5abe7fbd98c006d4884/1 | Solve the following coding problem using the programming language python:
Geeks Island is represented by an N * M matrix mat. The island is touched by the Indian Ocean from the top and left edges and the Arabian Sea from the right and bottom edges. Each element of the matrix represents the height of the cell.
Due to the rainy season, the island receives a lot of rainfall, and the water can flow in four directions(up, down, left, or right) from one cell to another one with height equal or lower.
You need to find the number of cells from where water can flow to both the Indian Ocean and the Arabian Sea.
Example 1:
Input:
N = 5, M = 5
mat[][] = {{1, 3, 3, 2, 4},
{4, 5, 6, 4, 4},
{2, 4, 5, 3, 1},
{6, 7, 1, 4, 5},
{6, 1, 1, 3, 4}}
Output:
8
Explanation:
Indian ~ ~ ~ ~ ~
Ocean ~ 1 3 3 2 (4) *
~ 4 5 (6) (4) (4) *
~ 2 4 (5) 3 1 *
~ (6) (7) 1 4 5 *
~ (6) 1 1 3 4 *
* * * * * Arabian Sea
Water can flow to both ocean and sea from the cells
denoted by parantheses().For example at index(1,2), the height of that island is 6. If a water drop falls on that island, water can flow to up direction(as 3<=6) and reach to Indian Ocean. ALso, water can flow to right direction(as 6>=4>=4) and reach to Arabian Sea.
Example 2:
Input:
N = 2, M = 3
mat[][] = {{1, 1, 1},
{1, 1, 1}}
Output:
6
Explanation:
Water can flow from all cells to both Indian Ocean and Arabian Sea as the height of all islands are same.
Your Task:
Your task is to complete the function water_flow() which takes an integer array mat, integer N and integer M as the input parameter and returns an integer, denoting the number of cells from which water can to both ocean and sea.
Expected Time Complexity : O(N*M)
Expected Auxiliary Space : O(N*M)
Constraints:
1 <= N, M <= 10^{3}
1 <= mat[i][j] <= 10^{6}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution():
def water_flow(self, mat, n, m):
#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 water_flow(self, grid, n, m):
def dfs(i, j, ref_set, prev):
if i < 0 or j < 0 or i >= n or (j >= m) or (grid[i][j] < prev) or ((i, j) in ref_set):
return 0
ref_set.add((i, j))
dfs(i + 1, j, ref_set, grid[i][j])
dfs(i - 1, j, ref_set, grid[i][j])
dfs(i, j + 1, ref_set, grid[i][j])
dfs(i, j - 1, ref_set, grid[i][j])
n = len(grid)
m = len(grid[0])
pacific = set()
atlantic = set()
for i in range(n):
dfs(i, 0, pacific, grid[i][0])
dfs(i, m - 1, atlantic, grid[i][m - 1])
for i in range(m):
dfs(0, i, pacific, grid[0][i])
dfs(n - 1, i, atlantic, grid[n - 1][i])
common_list = set(pacific).intersection(atlantic)
return len(common_list)
``` | vfc_143003 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/234ca3b438298fb04befd5abe7fbd98c006d4884/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 5, M = 5\r\nmat[][] = {{1, 3, 3, 2, 4},\r\n {4, 5, 6, 4, 4},\r\n {2, 4, 5, 3, 1},\r\n {6, 7, 1, 4, 5},\r\n {6, 1, 1, 3, 4}}",
"output": "8",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 2, M = 3\r\nmat[][] = {{1, 1, 1},\r\n {1, 1, 1}}",
"output": "6",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/BARRAY | Solve the following coding problem using the programming language python:
You're given an array A of N integers. You need to find the minimum cost of creating another array B of N integers with the following properties
B_{i} ≥ 0 for each 1 ≤ i ≤ N
The GCD of adjacent elements of B is equal to 1, i.e, \gcd(B_{i}, B_{i+1}) = 1 for each 1 ≤ i < N
The cost of creating B is defined as follows:
\sum_{i=1}^{N} 2^{|A_{i} - B_{i} |}
Find the minimum possible cost to create the array B. Since the answer can be huge print it modulo 10^{9}+7
Note: You need to minimize the value of total cost of creating the array B, and then print this minimum value modulo 10^{9} + 7. For example, suppose there is a way to create the required B with a cost of 500, and another way to do it with a cost of 10^{9} + 7 (which is 0 \pmod {10^{9} + 7}). The output in this case would be 500 and not 0.
------ Input Format ------
- The first line of input will contain a single integer T, denoting the number of test cases.
- The first line of each test case contains an integer N - the length of the array A
- The second line of each test case contains N space-separated integers A_{1},A_{2},\ldots,A_{N}
------ Output Format ------
For each test case, output on a new line the minimum cost of creating the array B, modulo 10^{9} + 7.
------ Constraints ------
$1 ≤ T ≤ 150$
$1 ≤ N ≤ 10^{4}$
$1 ≤ A_{i} ≤ 10^{6}$
- The sum of $N$ over all test cases won't exceed $10^{4}$.
----- Sample Input 1 ------
3
3
15 16 19
2
5 10
7
9 15 7 19 10 7 1
----- Sample Output 1 ------
3
3
8
----- explanation 1 ------
Test case $1$: The given input already satisfies all the conditions, hence we can take $B = A$ with a cost of $2^{0} + 2^{0} + 2^{0} = 3$.
Test case $2$: One optimal way is to choose $B$ as $ [ 5, 11 ] $, with a cost of $2^{0} + 2^{1} = 3$.
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 inf
from collections import *
import math, os, sys, heapq, bisect, random, threading
from functools import lru_cache
from itertools import *
def inp():
return sys.stdin.readline().rstrip('\r\n')
def out(var):
sys.stdout.write(str(var))
def inpu():
return int(inp())
def lis():
return list(map(int, inp().split()))
def stringlis():
return list(map(str, inp().split()))
def sep():
return map(int, inp().split())
def strsep():
return map(str, inp().split())
def fsep():
return map(float, inp().split())
(M, M1) = (1000000007, 998244353)
def main():
how_much_noob_I_am = 1
how_much_noob_I_am = inpu()
for _ in range(how_much_noob_I_am):
n = inpu()
arr = lis()
dp = [[inf] * 21 for i in range(n)]
for i in range(-10, 11):
dp[0][i] = 1 << abs(i)
for i in range(1, n):
for j in range(-10, 11):
for k in range(-10, 11):
if math.gcd(arr[i - 1] + j, arr[i] + k) == 1:
dp[i][k] = min(dp[i][k], dp[i - 1][j] + (1 << abs(k))) % M
ans = inf
for i in range(-10, 11):
ans = min(ans, dp[n - 1][i])
print(ans % M)
main()
``` | vfc_143004 | {
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/BARRAY",
"time_limit": "1.5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n3\n15 16 19\n2\n5 10\n7\n9 15 7 19 10 7 1\n",
"output": "3\n3\n8",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/PTRN2021/problems/ITGUY55 | Solve the following coding problem using the programming language python:
The chef is trying to decode some pattern problems, Chef wants your help to code it. Chef has one number K to form a new pattern. Help the chef to code this pattern problem.
-----Input:-----
- First-line will contain $T$, the number of test cases. Then the test cases follow.
- Each test case contains a single line of input, one integer $K$.
-----Output:-----
For each test case, output as the pattern.
-----Constraints-----
- $1 \leq T \leq 100$
- $1 \leq K \leq 100$
-----Sample Input:-----
4
1
2
3
4
-----Sample Output:-----
1
10
10
101
101
101
1010
1010
1010
1010
-----EXPLANATION:-----
No need, else pattern can be decode easily.
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())
num = ''
val = 1
for i in range(n):
num += str(val)
if val == 1:
val = 0
else:
val = 1
for i in range(n):
print(num)
``` | vfc_143008 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/PTRN2021/problems/ITGUY55",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n1\n2\n3\n4\n",
"output": "1\n10\n10\n101\n101\n101\n1010\n1010\n1010\n1010\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/182/B | Solve the following coding problem using the programming language python:
Vasya lives in a strange world. The year has n months and the i-th month has ai days. Vasya got a New Year present — the clock that shows not only the time, but also the date.
The clock's face can display any number from 1 to d. It is guaranteed that ai ≤ d for all i from 1 to n. The clock does not keep information about the current month, so when a new day comes, it simply increases the current day number by one. The clock cannot display number d + 1, so after day number d it shows day 1 (the current day counter resets). The mechanism of the clock allows you to increase the day number by one manually. When you execute this operation, day d is also followed by day 1.
Vasya begins each day checking the day number on the clock. If the day number on the clock does not match the actual day number in the current month, then Vasya manually increases it by one. Vasya is persistent and repeats this operation until the day number on the clock matches the actual number of the current day in the current month.
A year passed and Vasya wonders how many times he manually increased the day number by one, from the first day of the first month to the last day of the n-th month inclusive, considering that on the first day of the first month the clock display showed day 1.
Input
The first line contains the single number d — the maximum number of the day that Vasya's clock can show (1 ≤ d ≤ 106).
The second line contains a single integer n — the number of months in the year (1 ≤ n ≤ 2000).
The third line contains n space-separated integers: ai (1 ≤ ai ≤ d) — the number of days in each month in the order in which they follow, starting from the first one.
Output
Print a single number — the number of times Vasya manually increased the day number by one throughout the last year.
Examples
Input
4
2
2 2
Output
2
Input
5
3
3 4 3
Output
3
Input
31
12
31 28 31 30 31 30 31 31 30 31 30 31
Output
7
Note
In the first sample the situation is like this:
* Day 1. Month 1. The clock shows 1. Vasya changes nothing.
* Day 2. Month 1. The clock shows 2. Vasya changes nothing.
* Day 1. Month 2. The clock shows 3. Vasya manually increases the day number by 1. After that the clock shows 4. Vasya increases the day number by 1 manually. After that the clock shows 1.
* Day 2. Month 2. The clock shows 2. Vasya changes nothing.
In total, Vasya manually changed the day number by 1 exactly 2 times.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
d = int(input())
n = int(input())
months = list(map(int, input().split()))
changes = 0
for month in months[:-1]:
changes += d - month
print(changes)
``` | vfc_143012 | {
"difficulty": "easy",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/182/B",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "102\n100\n31 22 59 16 11 56 81 4 19 31 8 72 4 92 18 7 13 12 62 40 34 67 40 23 96 4 90 28 3 18 54 49 10 71 73 79 69 7 41 75 59 13 2 78 72 6 95 33 52 97 7 86 57 94 12 93 19 94 59 28 5 96 46 102 2 101 57 85 53 69 72 39 14 75 8 16 10 57 26 4 85 18 89 84 48 93 54 21 78 6 67 35 11 78 91 91 97 15 8 32\n",
"output": "5447",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n4\n8 7 1 5\n",
"output": "14",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10\n5\n2 7 8 4 4\n",
"output": "19",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Amer cabs has released a scheme through which a user gets a free drive when he shares a reference code with another Amer app user. Given N number of app users, output total number of free drives gained by all of them. Two same users cannot share reference code more than once.
Input Format
The first line contains the number of test cases T, T lines follow.
Each line then contains an integer N, the total number of Amer App Users.
Output Format
Print the number of Free Drives for each test-case in a new line.
Constraints
1 ≤ T ≤ 1000
0 < N < 10^6
SAMPLE INPUT
2
1
2
SAMPLE OUTPUT
0
1
Explanation
Case 1 : Single user shares no reference code, hence 0 free drives.
Case 2 : There are 2 app users, so reference code is shared once, hence 1 free drive.
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())
while t :
t-=1
n=eval(input())
if n==1 :
print("0")
else :
print(n*(n-1)/2)
``` | vfc_143016 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
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"type": "stdin_stdout"
},
{
"fn_name": null,
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"output": 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"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | Solve the following coding problem using the programming language python:
Write a program which manipulates a disjoint set S = {S1, S2, . . . , Sk}.
First of all, the program should read an integer n, then make a disjoint set where each element consists of 0, 1, ... n−1 respectively.
Next, the program should read an integer q and manipulate the set for q queries. There are two kinds of queries for different operations:
* unite(x, y): unites sets that contain x and y, say Sx and Sy, into a new set.
* same(x, y): determine whether x and y are in the same set.
Constraints
* 1 ≤ n ≤ 10000
* 1 ≤ q ≤ 100000
* x ≠ y
Input
n q
com1 x1 y1
com2 x2 y2
...
comq xq yq
In the first line, n and q are given. Then, q queries are given where com represents the type of queries. '0' denotes unite and '1' denotes same operation.
Output
For each same operation, print 1 if x and y are in the same set, otherwise 0, in a line.
Example
Input
5 12
0 1 4
0 2 3
1 1 2
1 3 4
1 1 4
1 3 2
0 1 3
1 2 4
1 3 0
0 0 4
1 0 2
1 3 0
Output
0
0
1
1
1
0
1
1
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def root(i):
if par[i] == i:
return i
par[i] = root(par[i])
return par[i]
def unite(x, y):
xr = root(x)
yr = root(y)
par[yr] = xr
def same(x, y):
return root(x) == root(y)
(n, q) = map(int, input().split())
par = list(range(n))
for i in range(q):
commands = list(map(int, input().split()))
if commands[0] == 0:
unite(commands[1], commands[2])
if commands[0] == 1:
if same(commands[1], commands[2]):
print(1)
else:
print(0)
``` | vfc_143024 | {
"difficulty": "unknown_difficulty",
"memory_limit": "134.217728 megabytes",
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "3.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 12\n0 2 4\n0 2 3\n1 1 2\n1 3 4\n1 1 4\n1 3 2\n0 1 3\n1 2 4\n1 3 0\n0 0 4\n1 0 2\n1 3 0",
"output": "0\n1\n0\n1\n1\n0\n1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 12\n0 1 4\n0 2 3\n1 1 2\n1 3 4\n1 1 4\n1 2 2\n0 1 3\n1 2 4\n1 3 0\n0 0 4\n1 0 2\n1 3 0",
"output": "0\n0\n1\n1\n1\n0\n1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 12\n0 1 4\n0 2 3\n1 1 2\n1 3 4\n1 2 4\n1 2 2\n0 1 3\n1 2 4\n1 3 0\n0 0 4\n1 0 2\n1 3 0",
"output": "0\n0\n0\n1\n1\n0\n1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5 12\n0 1 4\n0 2 3\n1 1 2\n1 3 4\n1 2 4\n1 2 2\n1 1 3\n1 2 4\n1 3 0\n0 0 4\n1 0 2\n1 3 0",
"output": "0\n0\n0\n1\n0\n0\n0\n0\n0\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://www.codechef.com/problems/IMPACT | Solve the following coding problem using the programming language python:
Consider the infinite x$x$ axis. There are N$N$ impacts on this X-axis at integral points (X1$X_1$,X2$X_2$,....XN$X_N$) (all distinct) . An impact at a point X$X$i propagates such that at a point X$X$0, the effect of the impact is K|Xi−X0|$K^{|X_i - X_0|}$. Given the point X0$X_0$, N$N$ and K$K$. Assume the total impact on X0$X_0$ is M$M$, find if it is possible to do so.Note: You are not required to find the set X
Formally print "yes" if this is possible and "no" if not possible.
-----Input:-----
- First line will contain T$T$, number of testcases. Then the testcases follow.
- Each testcase contains of a single line of input, four integers N$N$,K$K$,M$M$,X$X$0
-----Output:-----
- The output of each test case is either "yes" or "no"
-----Constraints -----
- 1≤T≤1000$1\leq T \leq 1000$
- 1≤N≤100$1\leq N \leq 100$
- 1≤K≤1000$1\leq K \leq 1000$
- 1≤M≤1018$1\leq M \leq 10^{18}$
- −109≤X0≤109$-10^9 \leq X_0 \leq 10^9$
-----Sample Input:-----
2
4 3 10 10
2 3 10 10
-----Sample Output:-----
no
yes
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):
l = list(map(int, input().split()))
(n, k, m, x) = (l[0], l[1], l[2], l[3])
if k == 1:
if n == m:
print('yes')
else:
print('no')
elif m % k > 1:
print('no')
elif k == 2:
stack = []
var = 0
while m != 0:
var += m % k
stack.append(m % k)
m //= k
if var > n:
print('no')
elif var == n:
print('yes')
else:
for p in range(100):
for q in range(2, len(stack)):
if stack[q - 1] == 0 and stack[q] >= 1:
stack[q - 1] = 2
stack[q] -= 1
var += 1
if var == n:
print('yes')
if var < n:
print('no')
else:
temp = 0
rog = 1
while m != 0:
if m % k > 2:
rog = 0
print('no')
temp += m % k
m //= k
if rog:
if temp == n:
print('yes')
else:
print('no')
``` | vfc_143028 | {
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/IMPACT",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n4 3 10 10\n2 3 10 10\n",
"output": "no\nyes\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/sharing3134/1 | Solve the following coding problem using the programming language python:
Geek is very fond of chocolates. But he can't reach the kitchen shelf which has 'N' chocolates. His family has K members and he can call any number of family members to help him out. After acquiring the chocolates, the family members that Geek called will first divide the chocolates amongst themsleves equally. They do this in such a way that they all get maximum number of chocolates. The remaining chocolates are given to Geek.
Find the maximum number of chocolates that Geek can get.
Example 1:
Input:
N = 15, K = 4
Output: 3
Explaination:
Calling 1 member. Geek will get nothing.
Calling 2 members. Geek will get 1 chocolate.
Calling 3 members. Geek will get nothing.
Calling 4 members. Geek will get 3 chocolates.
Example 2:
Input:
N = 19, K = 5
Output: 4
Explaination: 5 memebers will be called who will
divide 15 chocolates among them. And 4 chocolates
will be left for Geek.
Your Task:
You do not need to read input or print anything. Your task is to complete the function maxChocolate() which takes N and K as input parameters and returns the maximum number of chocolates Geek can have.
Expected Time Complexity: O(min(N,K))
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ N, K ≤ 10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def maxChocolate(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 maxChocolate(self, N, K):
if K > N:
return N
else:
r = 0
for i in range(1, K + 1):
r = max(r, N % i)
return r
``` | vfc_143032 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/sharing3134/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 15, K = 4",
"output": "3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 19, K = 5",
"output": "4",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/255/A | Solve the following coding problem using the programming language python:
Greg is a beginner bodybuilder. Today the gym coach gave him the training plan. All it had was n integers a_1, a_2, ..., a_{n}. These numbers mean that Greg needs to do exactly n exercises today. Besides, Greg should repeat the i-th in order exercise a_{i} times.
Greg now only does three types of exercises: "chest" exercises, "biceps" exercises and "back" exercises. Besides, his training is cyclic, that is, the first exercise he does is a "chest" one, the second one is "biceps", the third one is "back", the fourth one is "chest", the fifth one is "biceps", and so on to the n-th exercise.
Now Greg wonders, which muscle will get the most exercise during his training. We know that the exercise Greg repeats the maximum number of times, trains the corresponding muscle the most. Help Greg, determine which muscle will get the most training.
-----Input-----
The first line contains integer n (1 ≤ n ≤ 20). The second line contains n integers a_1, a_2, ..., a_{n} (1 ≤ a_{i} ≤ 25) — the number of times Greg repeats the exercises.
-----Output-----
Print word "chest" (without the quotes), if the chest gets the most exercise, "biceps" (without the quotes), if the biceps gets the most exercise and print "back" (without the quotes) if the back gets the most exercise.
It is guaranteed that the input is such that the answer to the problem is unambiguous.
-----Examples-----
Input
2
2 8
Output
biceps
Input
3
5 1 10
Output
back
Input
7
3 3 2 7 9 6 8
Output
chest
-----Note-----
In the first sample Greg does 2 chest, 8 biceps and zero back exercises, so the biceps gets the most exercises.
In the second sample Greg does 5 chest, 1 biceps and 10 back exercises, so the back gets the most exercises.
In the third sample Greg does 18 chest, 12 biceps and 8 back exercises, so the chest gets the most exercise.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
num = int(input())
k = list(map(int, input().split()))
chest = 0
bicep = 0
back = 0
for x in range(0, num):
if x % 3 == 0:
chest = chest + k[x]
if x % 3 == 1:
bicep = bicep + k[x]
if x % 3 == 2:
back = back + k[x]
if chest > bicep and chest > back:
print('chest')
elif bicep > chest and bicep > back:
print('biceps')
elif back > chest and back > bicep:
print('back')
``` | vfc_143033 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/255/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n2 8\n",
"output": "biceps\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n5 1 10\n",
"output": "back\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "7\n3 3 2 7 9 6 8\n",
"output": "chest\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n5 6 6 2\n",
"output": "chest\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n8 2 2 6 3\n",
"output": "chest\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Ricky gives a number 'n' to John. Now Ricky wants John to generate Z with symbol "*" such that it spans n rows.
Example:
Input : n=3
Output :
***
*
***
Input : n=4
Output :
****
*
*
****
Constraint :
3 ≤ n ≤20
SAMPLE INPUT
5
SAMPLE OUTPUT
*****
*
*
*
*****
Explanation
The 'Z' is printed across 5 lines as shown above.
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())
print('*'*n)
for i in range(n-2):
print(' '*(n-i-2) + '*')
print('*'*n)
``` | vfc_143037 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5",
"output": "*******\n *\n *\n *\n *\n *\n*******",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10",
"output": "**********\n *\n *\n *\n *\n *\n *\n *\n *\n**********",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/915/C | Solve the following coding problem using the programming language python:
You are given two positive integer numbers a and b. Permute (change order) of the digits of a to construct maximal number not exceeding b. No number in input and/or output can start with the digit 0.
It is allowed to leave a as it is.
-----Input-----
The first line contains integer a (1 ≤ a ≤ 10^18). The second line contains integer b (1 ≤ b ≤ 10^18). Numbers don't have leading zeroes. It is guaranteed that answer exists.
-----Output-----
Print the maximum possible number that is a permutation of digits of a and is not greater than b. The answer can't have any leading zeroes. It is guaranteed that the answer exists.
The number in the output should have exactly the same length as number a. It should be a permutation of digits of a.
-----Examples-----
Input
123
222
Output
213
Input
3921
10000
Output
9321
Input
4940
5000
Output
4940
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
fact_ = [1] * 50
def fact(n):
return fact_[n]
def get_perm(n, k):
if k > fact(n):
exit(123)
if n == 1:
return [1]
k -= 1
res = []
not_used = [i for i in range(1, n + 1)]
size = fact(n - 1)
for i in range(n):
cnt = k // size
res.append(not_used[cnt])
not_used.pop(cnt)
k %= size
if i != n - 1:
size //= n - 1 - i
return res[:]
def num_by_perm(x):
nonlocal n, a
v = get_perm(n, x)
res = []
for i in range(n):
res.append(a[v[i] - 1])
return int(''.join(res))
def check(x):
nonlocal n, a, b
v = num_by_perm(x)
if v > b:
return False
else:
return True
for i in range(1, 20):
fact_[i] = fact_[i - 1] * i
a = list(input())
b = int(input())
n = len(a)
a.sort()
l = 1
r = fact(n) + 1
while r - l > 1:
m = l + (r - l) // 2
if check(m):
l = m
else:
r = m
print(num_by_perm(l))
``` | vfc_143041 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/915/C",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "123\n222\n",
"output": "213\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3921\n10000\n",
"output": "9321\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4940\n5000\n",
"output": "4940\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/CONFLIP | Solve the following coding problem using the programming language python:
Little Elephant was fond of inventing new games. After a lot of research, Little Elephant came to know that most of the animals in the forest were showing less interest to play the multi-player games. Little Elephant had started to invent single player games, and succeeded in inventing the new single player game named COIN FLIP.
In this game the player will use $N$ coins numbered from $1$ to $N$, and all the coins will be facing in "Same direction" (Either Head or Tail), which will be decided by the player before starting of the game.
The player needs to play $N$ rounds. In the $k$-th round the player will flip the face of the all coins whose number is less than or equal to $k$. That is, the face of coin $i$ will be reversed, from Head to Tail, or, from Tail to Head, for $i ≤ k$.
Elephant needs to guess the total number of coins showing a particular face after playing $N$ rounds. Elephant really becomes quite fond of this game COIN FLIP so Elephant plays $G$ times. Please help the Elephant to find out the answer.
------ Input: ------
The first line of input contains an integer $T$, denoting the number of test cases. Then $T$ test cases follow.
The first line of each test contains an integer $G$, denoting the number of games played by Elephant. Each of the following $G$ lines denotes a single game, and contains $3$ space-separated integers $I$, $N$, $Q$, where $I$ denotes the initial state of the coins, $N$ denotes the number of coins and rounds, and $Q$, which is either $1$, or $2$ as explained below.
Here $I=1$ means all coins are showing Head in the start of the game, and $I=2$ means all coins are showing Tail in the start of the game. $Q=1$ means Elephant needs to guess the total number of coins showing Head in the end of the game, and $Q=2$ means Elephant needs to guess the total number of coins showing Tail in the end of the game.
------ Output: ------
For each game, output one integer denoting the total number of coins showing the particular face in the end of the game.
------ Constraints: ------
$1 ≤ T ≤ 10$
$1 ≤ G ≤ 2000$
$1 ≤ N ≤ 10$
$1 ≤ I ≤ 2$
$1 ≤ Q ≤ 2$
----- Sample Input 1 ------
1
2
1 5 1
1 5 2
----- Sample Output 1 ------
2
3
----- explanation 1 ------
In the 1st game in Example,
$I=1$, so initial arrangement of coins are H H H H H,
and now Elephant will play 5 rounds and coin faces will be changed as follows<
After the 1st Round: T H H H H
After the 2nd Round: H T H H H
After the 3rd Round: T H T H H
After the 4th Round: H T H T H
After the 5th Round: T H T H T
Finally Q=1, so we need to find the total number of coins showing Head, which is 2
In the 2nd game in Example:
This is similar to the 1st game, except Elephant needs to find the total number of coins showing Tail.
So the Answer is $3$. (Please see the final state of the coins in the $1^{st}$ game)
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 it in range(t):
g = int(input())
for its in range(g):
(i, n, q) = map(int, input().split())
if i == q:
print(n // 2)
else:
print(n // 2 + n % 2)
``` | vfc_143045 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CONFLIP",
"time_limit": "5 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n2\n1 5 1\n1 5 2",
"output": "2\n3",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n2\n1 1 1\n1 5 2",
"output": "0\n3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n2\n1 1 1\n1 5 1",
"output": "0\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n2\n1 1 1\n1 7 2",
"output": "0\n4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n2\n2 1 1\n1 7 2",
"output": "1\n4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1763/B | Solve the following coding problem using the programming language python:
To destroy humanity, The Monster Association sent $n$ monsters to Earth's surface. The $i$-th monster has health $h_i$ and power $p_i$.
With his last resort attack, True Spiral Incineration Cannon, Genos can deal $k$ damage to all monsters alive. In other words, Genos can reduce the health of all monsters by $k$ (if $k > 0$) with a single attack.
However, after every attack Genos makes, the monsters advance. With their combined efforts, they reduce Genos' attack damage by the power of the $^\dagger$weakest monster $^\ddagger$alive. In other words, the minimum $p_i$ among all currently living monsters is subtracted from the value of $k$ after each attack.
$^\dagger$The Weakest monster is the one with the least power.
$^\ddagger$A monster is alive if its health is strictly greater than $0$.
Will Genos be successful in killing all the monsters?
-----Input-----
The first line of the input contains a single integer $t$ ($1 \le t \le 100$) — the number of test cases. The description of test cases follows.
The first line of each test case contains two integers, $n$ and $k$ ($1 \le n, k \le 10^5$) — the number of monsters and Genos' initial attack damage. Then two lines follow, each containing $n$ integers describing the arrays $h$ and $p$ ($1 \le h_i, p_i \le 10^9$).
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 the answer — "YES" (without quotes) if Genos could kill all monsters and "NO" otherwise.
-----Examples-----
Input
3
6 7
18 5 13 9 10 1
2 7 2 1 2 6
3 4
5 5 5
4 4 4
3 2
2 1 3
1 1 1
Output
YES
NO
YES
-----Note-----
In the first example, after Genos' first attack, $h$ and $k$ will update to:
$h: [11,0,6,2,3,0]$
$k: 7-1 = 6$
After second attack:
$h: [5,0,0,0,0,0]$
$k: 6-2 = 4$
After third attack:
$h: [1,0,0,0,0,0]$
$k: 4-2 = 2$
After fourth attack:
$h: [0,0,0,0,0,0]$
As Genos could kill all monsters, the answer is YES.
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
import math
def readList():
return list(map(int, input().split()))
def readInt():
return int(input())
def readInts():
return map(int, input().split())
def readStr():
return input().strip()
def solve():
(n, k) = readInts()
H = readList()
P = readList()
arr = sorted([[P[i], H[i]] for i in range(n)])
offset = 0
for i in range(n):
(p, h) = arr[i]
h -= offset
if h <= 0:
continue
k -= p if i > 0 else 0
if k >= h:
offset += k
continue
elif k <= 0:
return 'NO'
D = (p + 2 * k) ** 2 - 8 * p * h
if D < 0:
return 'NO'
x1 = math.ceil((p + 2 * k - D ** 0.5) / (2 * p))
if x1 > 0 and p * x1 ** 2 - x1 * (p + 2 * k) + 2 * h <= 0:
offset += k * x1 - p * (x1 - 1) * x1 // 2
k -= p * (x1 - 1)
else:
return 'NO'
return 'YES'
for _ in range(int(input())):
print(solve())
``` | vfc_143049 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1763/B",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n6 7\n18 5 13 9 10 1\n2 7 2 1 2 6\n3 4\n5 5 5\n4 4 4\n3 2\n2 1 3\n1 1 1\n",
"output": "YES\nNO\nYES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n2 1\n1000000000 1\n1 1000000000\n",
"output": "NO\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/792/F | Solve the following coding problem using the programming language python:
Vova plays a computer game known as Mages and Monsters. Vova's character is a mage. Though as he has just started, his character knows no spells.
Vova's character can learn new spells during the game. Every spell is characterized by two values x_{i} and y_{i} — damage per second and mana cost per second, respectively. Vova doesn't have to use a spell for an integer amount of seconds. More formally, if he uses a spell with damage x and mana cost y for z seconds, then he will deal x·z damage and spend y·z mana (no rounding). If there is no mana left (mana amount is set in the start of the game and it remains the same at the beginning of every fight), then character won't be able to use any spells. It is prohibited to use multiple spells simultaneously.
Also Vova can fight monsters. Every monster is characterized by two values t_{j} and h_{j} — monster kills Vova's character in t_{j} seconds and has h_{j} health points. Mana refills after every fight (or Vova's character revives with full mana reserve), so previous fights have no influence on further ones.
Vova's character kills a monster, if he deals h_{j} damage to it in no more than t_{j} seconds using his spells (it is allowed to use more than one spell in a fight) and spending no more mana than he had at the beginning of the fight. If monster's health becomes zero exactly in t_{j} seconds (it means that the monster and Vova's character kill each other at the same time), then Vova wins the fight.
You have to write a program which can answer two types of queries:
1 x y — Vova's character learns new spell which deals x damage per second and costs y mana per second. 2 t h — Vova fights the monster which kills his character in t seconds and has h health points.
Note that queries are given in a different form. Also remember that Vova's character knows no spells at the beginning of the game.
For every query of second type you have to determine if Vova is able to win the fight with corresponding monster.
-----Input-----
The first line contains two integer numbers q and m (2 ≤ q ≤ 10^5, 1 ≤ m ≤ 10^12) — the number of queries and the amount of mana at the beginning of every fight.
i-th of each next q lines contains three numbers k_{i}, a_{i} and b_{i} (1 ≤ k_{i} ≤ 2, 1 ≤ a_{i}, b_{i} ≤ 10^6).
Using them you can restore queries this way: let j be the index of the last query of second type with positive answer (j = 0 if there were none of these). If k_{i} = 1, then character learns spell with x = (a_{i} + j) mod 10^6 + 1, y = (b_{i} + j) mod 10^6 + 1. If k_{i} = 2, then you have to determine if Vova is able to win the fight against monster with t = (a_{i} + j) mod 10^6 + 1, h = (b_{i} + j) mod 10^6 + 1.
-----Output-----
For every query of second type print YES if Vova is able to win the fight with corresponding monster and NO otherwise.
-----Example-----
Input
3 100
1 4 9
2 19 49
2 19 49
Output
YES
NO
-----Note-----
In first example Vova's character at first learns the spell with 5 damage and 10 mana cost per second. Next query is a fight with monster which can kill character in 20 seconds and has 50 health points. Vova kills it in 10 seconds (spending 100 mana). Next monster has 52 health, so Vova can't deal that much damage with only 100 mana.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
[q, m] = map(int, input().strip().split())
qis = [tuple(map(int, input().strip().split())) for _ in range(q)]
mod = 10 ** 6
j = 0
spell_chull = [(0, 0)]
def is_right(xy0, xy1, xy):
(x0, y0) = xy0
(x1, y1) = xy1
(x, y) = xy
return (x0 - x) * (y1 - y) >= (x1 - x) * (y0 - y)
def in_chull(x, y):
i = 0
if x > spell_chull[-1][0]:
return False
while spell_chull[i][0] < x:
i += 1
if spell_chull[i][0] == x:
return spell_chull[i][1] <= y
else:
return is_right(spell_chull[i - 1], spell_chull[i], (x, y))
def add_spell(x, y):
global spell_chull
if in_chull(x, y):
return
i_left = 0
while i_left < len(spell_chull) - 1 and (not is_right(spell_chull[i_left + 1], spell_chull[i_left], (x, y))):
i_left += 1
i_right = i_left + 1
while i_right < len(spell_chull) - 1 and is_right(spell_chull[i_right + 1], spell_chull[i_right], (x, y)):
i_right += 1
if i_right == len(spell_chull) - 1 and x >= spell_chull[-1][0]:
i_right += 1
spell_chull = spell_chull[:i_left + 1] + [(x, y)] + spell_chull[i_right:]
for (i, qi) in enumerate(qis):
(k, a, b) = qi
x = (a + j) % mod + 1
y = (b + j) % mod + 1
if k == 1:
add_spell(x, y)
elif in_chull(y / x, m / x):
print('YES')
j = i + 1
else:
print('NO')
``` | vfc_143053 | {
"difficulty": "very_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/792/F",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 100\n1 4 9\n2 19 49\n2 19 49\n",
"output": "YES\nNO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "10 442006988299\n2 10 47\n1 9 83\n1 15 24\n2 19 47\n2 75 99\n2 85 23\n2 8 33\n2 9 82\n1 86 49\n2 71 49\n",
"output": "NO\nYES\nYES\nYES\nYES\nYES\nYES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 424978864039\n2 7 3\n2 10 8\n",
"output": "NO\nNO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1000000000000\n1 235726 255577\n1 959304 206090\n",
"output": "",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/FLOW014 | Solve the following coding problem using the programming language python:
A certain type of steel is graded according to the following conditions.
1. Hardness of the steel must be greater than 50
2. Carbon content of the steel must be less than 0.7
3. Tensile strength must be greater than 5600
The grades awarded are as follows:
Grade is 10 if all three conditions are met
Grade is 9 if conditions (1) and (2) are met
Grade is 8 if conditions (2) and (3) are met
Grade is 7 if conditions (1) and (3) are met
Grade is 6 if only one condition is met
Grade is 5 if none of the three conditions are met
Write a program to display the grade of the steel, based on the values of hardness, carbon content and tensile strength of the steel, given by the user.
------ Input Format ------
The first line contains an integer T, total number of testcases. Then follow T lines, each line contains three numbers hardness, carbon content and tensile strength of the steel.
------ Output Format ------
For each test case, print Grade of the steel depending on Conditions, in a new line.
------ Constraints ------
- 1 ≤ T ≤ 1000
- 0 ≤ hardness, carbon content, tensile strength ≤ 10000
----- Sample Input 1 ------
3
53 0.6 5602
45 0 4500
0 0 0
----- Sample Output 1 ------
10
6
6
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())):
(h, c, t) = map(float, input().split())
con1 = h > 50
con2 = c < 0.7
con3 = t > 5600
if con1 and con2 and con3:
print('10')
elif con1 and con2:
print('9')
elif con2 and con3:
print('8')
elif con1 and con3:
print('7')
elif con1 or con2 or con3:
print('6')
else:
print('5')
``` | vfc_143057 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/FLOW014",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 \n53 0.6 5602\n45 0 4500\n0 0 0 \n",
"output": "10\n6\n6\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 \n67 0.6 5602\n45 0 4500\n0 0 0",
"output": "10\n6\n6\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Broken crypto generator
JAG (Japanese Alumni Group) is a mysterious organization composed of many programmers, and in order to enter the building where the headquarters of this organization is located, it is necessary to solve the ciphertext generated by a certain machine every time. This ciphertext consists of the symbols'+','-','[',']' and the uppercase alphabet, and is represented by <Cipher> defined by the following BNF.
<Cipher> :: = <String> | <Cipher> <String>
<String> :: = <Letter> |'['<Cipher>']'
<Letter> :: ='+' <Letter> |'-' <Letter> |
'A' |'B' |'C' |'D' |'E' |'F' |'G' |'H' |'I' |'J' |'K' |'L' |'M '|
'N' |'O' |'P' |'Q' |'R' |'S' |'T' |'U' |'V' |'W' |'X' |'Y' |'Z '
Here, each symbol has the following meaning.
* + (Character): Represents the alphabet following that character (provided that the alphabet following'Z'is'A')
*-(Character): Represents the alphabet before that character (provided that the alphabet before'A'is'Z')
* [(Character string)]: Represents a character string that is horizontally inverted.
However, the machine that generates this ciphertext is currently out of order, and some letters of the alphabet in the ciphertext may be broken and unreadable. Unreadable characters are tentatively represented as'?'. As a result of the investigation, it was found that the method of filling the broken characters is such that the decrypted character string is the smallest in the dictionary order among the possible character strings after decoding. Your job is to decrypt this ciphertext correctly.
Input
The input consists of multiple datasets. Each dataset consists of one line containing a string in which some uppercase letters have been replaced with ‘?’ In the ciphertext defined by BNF above. You can assume that the length of each string is less than $ 80 $. You can also assume that the number of'?' In each dataset is greater than or equal to $ 0 $ and less than or equal to $ 3 $.
The end of the input is represented by a line containing only one character,'.'.
Output
For each data set, output the decrypted character string when the ciphertext is decrypted so that the decrypted character string is the smallest in the dictionary order.
Sample Input
A + A ++ A
Z-Z--Z + -Z
[ESREVER]
J ---? --- J
++++++++ A +++ Z ----------- A +++ Z
[[++-+-? [-++-? ++-+++ L]] [-+ ----- + -O]] ++++ --- + L
..
Output for Sample Input
ABC
ZYXZ
REVERSE
JAG
ICPC
JAPAN
Example
Input
A+A++A
Z-Z--Z+-Z
[ESREVER]
J---?---J
++++++++A+++Z-----------A+++Z
[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L
.
Output
ABC
ZYXZ
REVERSE
JAG
ICPC
JAPAN
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def pm_to_chr(s):
s = s.group()
if s[-1] == '?':
return 'A'
ans = chr((ord(s[-1]) + s.count('+') - s.count('-') - ord('A')) % 26 + ord('A'))
return ans
def reverse(s):
s = s.group()
s = s[1:-1]
ans = ''.join(reversed(s))
return ans
import re
s = input()
while s != '.':
s = re.sub('[\\+\\-]*[\\w?]', pm_to_chr, s)
while '[' in s:
s = re.sub('\\[\\w+\\]', reverse, s)
print(s)
s = input()
``` | vfc_143073 | {
"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": "A+A++A\nZ-Z--Z+-Z\n[ESRVEER]\nJ---?---J\n++++++++A+++Z-----------A+++Z\n[[++-+--?[--++-?++-+++L]][-+-----+-O]]++++---+L\n.",
"output": "ABC\nZYXZ\nREEVRSE\nJAG\nICPC\nJAPAN\n",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/1335/C | Solve the following coding problem using the programming language python:
You have $n$ students under your control and you have to compose exactly two teams consisting of some subset of your students. Each student had his own skill, the $i$-th student skill is denoted by an integer $a_i$ (different students can have the same skills).
So, about the teams. Firstly, these two teams should have the same size. Two more constraints: The first team should consist of students with distinct skills (i.e. all skills in the first team are unique). The second team should consist of students with the same skills (i.e. all skills in the second team are equal).
Note that it is permissible that some student of the first team has the same skill as a student of the second team.
Consider some examples (skills are given): $[1, 2, 3]$, $[4, 4]$ is not a good pair of teams because sizes should be the same; $[1, 1, 2]$, $[3, 3, 3]$ is not a good pair of teams because the first team should not contain students with the same skills; $[1, 2, 3]$, $[3, 4, 4]$ is not a good pair of teams because the second team should contain students with the same skills; $[1, 2, 3]$, $[3, 3, 3]$ is a good pair of teams; $[5]$, $[6]$ is a good pair of teams.
Your task is to find the maximum possible size $x$ for which it is possible to compose a valid pair of teams, where each team size is $x$ (skills in the first team needed to be unique, skills in the second team should be the same between them). A student cannot be part of more than one team.
You have to answer $t$ independent test cases.
-----Input-----
The first line of the input contains one integer $t$ ($1 \le t \le 10^4$) — the number of test cases. Then $t$ test cases follow.
The first line of the test case contains one integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the number of students. The second line of the test case contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le n$), where $a_i$ is the skill of the $i$-th student. Different students can have the same skills.
It is guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$ ($\sum n \le 2 \cdot 10^5$).
-----Output-----
For each test case, print the answer — the maximum possible size $x$ for which it is possible to compose a valid pair of teams, where each team size is $x$.
-----Example-----
Input
4
7
4 2 4 1 4 3 4
5
2 1 5 4 3
1
1
4
1 1 1 3
Output
3
1
0
2
-----Note-----
In the first test case of the example, it is possible to construct two teams of size $3$: the first team is $[1, 2, 4]$ and the second team is $[4, 4, 4]$. Note, that there are some other ways to construct two valid teams of size $3$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for i in range(int(input())):
n = int(input())
a = list(map(int, input().split()))
maxx = 0
d = {}
for j in a:
d[j] = d.get(j, 0) + 1
if d[j] > maxx:
maxx = d[j]
if maxx == len(d):
print(maxx - 1)
else:
print(min(len(d), maxx))
``` | vfc_143077 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1335/C",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n7\n4 2 4 1 4 3 4\n5\n2 1 5 4 3\n1\n1\n4\n1 1 1 3\n",
"output": "3\n1\n0\n2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n9\n1 2 2 3 3 9 9 9 9\n",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"output": "0\n0\n0\n0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "5\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n",
"output": "0\n0\n0\n0\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n9\n1 2 2 3 3 9 9 9 9\n",
"output": "3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n7\n4 2 4 1 4 3 4\n5\n2 1 5 1 3\n1\n1\n4\n1 1 1 3\n",
"output": "3\n2\n0\n2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1437/E | Solve the following coding problem using the programming language python:
You are given an array of $n$ integers $a_1$, $a_2$, ..., $a_n$, and a set $b$ of $k$ distinct integers from $1$ to $n$.
In one operation, you may choose two integers $i$ and $x$ ($1 \le i \le n$, $x$ can be any integer) and assign $a_i := x$. This operation can be done only if $i$ does not belong to the set $b$.
Calculate the minimum number of operations you should perform so the array $a$ is increasing (that is, $a_1 < a_2 < a_3 < \dots < a_n$), or report that it is impossible.
-----Input-----
The first line contains two integers $n$ and $k$ ($1 \le n \le 5 \cdot 10^5$, $0 \le k \le n$) — the size of the array $a$ and the set $b$, respectively.
The second line contains $n$ integers $a_1$, $a_2$, ..., $a_n$ ($1 \le a_i \le 10^9$).
Then, if $k \ne 0$, the third line follows, containing $k$ integers $b_1$, $b_2$, ..., $b_k$ ($1 \le b_1 < b_2 < \dots < b_k \le n$). If $k = 0$, this line is skipped.
-----Output-----
If it is impossible to make the array $a$ increasing using the given operations, print $-1$.
Otherwise, print one integer — the minimum number of operations you have to perform.
-----Examples-----
Input
7 2
1 2 1 1 3 5 1
3 5
Output
4
Input
3 3
1 3 2
1 2 3
Output
-1
Input
5 0
4 3 1 2 3
Output
2
Input
10 3
1 3 5 6 12 9 8 10 13 15
2 4 9
Output
3
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import io
import os
from collections import Counter, defaultdict, deque
from bisect import bisect_right
inf = float('inf')
def lengthOfLIS(nums, mn, mx):
mnVal = mn - -1
mxVal = mx - len(nums)
chain = [mnVal]
for (i, x) in enumerate(nums):
v = x - i
if mnVal > v or v > mxVal:
continue
newLen = bisect_right(chain, v)
assert chain[newLen - 1] <= v
if newLen == len(chain):
chain.append(v)
else:
chain[newLen] = min(chain[newLen], v)
return len(chain) - 1
def solve(N, K, A, B):
ans = 0
sB = [-1] + sorted(B) + [N]
for (b1, b2) in zip(sB, sB[1:]):
mn = -inf if b1 == -1 else A[b1]
mx = inf if b2 == N else A[b2]
nums = A[b1 + 1:b2]
if mn >= mx:
return -1
if mx - mn - 1 < len(nums):
return -1
ans += len(nums) - lengthOfLIS(nums, mn, mx)
if ans == inf:
return -1
return ans
input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
(N, K) = [int(x) for x in input().split()]
A = [int(x) for x in input().split()]
B = []
if K != 0:
B = set((int(x) - 1 for x in input().split()))
print(solve(N, K, A, B))
``` | vfc_143085 | {
"difficulty": "hard",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1437/E",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "7 2\n1 2 1 1 3 5 1\n3 5\n",
"output": "4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/756/A | Solve the following coding problem using the programming language python:
Pavel cooks barbecue. There are n skewers, they lay on a brazier in a row, each on one of n positions. Pavel wants each skewer to be cooked some time in every of n positions in two directions: in the one it was directed originally and in the reversed direction.
Pavel has a plan: a permutation p and a sequence b_1, b_2, ..., b_{n}, consisting of zeros and ones. Each second Pavel move skewer on position i to position p_{i}, and if b_{i} equals 1 then he reverses it. So he hope that every skewer will visit every position in both directions.
Unfortunately, not every pair of permutation p and sequence b suits Pavel. What is the minimum total number of elements in the given permutation p and the given sequence b he needs to change so that every skewer will visit each of 2n placements? Note that after changing the permutation should remain a permutation as well.
There is no problem for Pavel, if some skewer visits some of the placements several times before he ends to cook. In other words, a permutation p and a sequence b suit him if there is an integer k (k ≥ 2n), so that after k seconds each skewer visits each of the 2n placements.
It can be shown that some suitable pair of permutation p and sequence b exists for any n.
-----Input-----
The first line contain the integer n (1 ≤ n ≤ 2·10^5) — the number of skewers.
The second line contains a sequence of integers p_1, p_2, ..., p_{n} (1 ≤ p_{i} ≤ n) — the permutation, according to which Pavel wants to move the skewers.
The third line contains a sequence b_1, b_2, ..., b_{n} consisting of zeros and ones, according to which Pavel wants to reverse the skewers.
-----Output-----
Print single integer — the minimum total number of elements in the given permutation p and the given sequence b he needs to change so that every skewer will visit each of 2n placements.
-----Examples-----
Input
4
4 3 2 1
0 1 1 1
Output
2
Input
3
2 3 1
0 0 0
Output
1
-----Note-----
In the first example Pavel can change the permutation to 4, 3, 1, 2.
In the second example Pavel can change any element of b to 1.
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())
permutation = list(map(int, input().split()))
go = set(range(1, n + 1))
reached = set()
ans = 0
while go:
x = go.pop()
while x not in reached:
reached.add(x)
x = permutation[x - 1]
if x in go:
go.remove(x)
ans += 1
if ans == 1:
ans = 0
permutation = input().split()
if permutation.count('1') % 2 == 0:
ans += 1
print(ans)
``` | vfc_143089 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/756/A",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n4 3 2 1\n0 1 1 1\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3\n2 3 1\n0 0 0\n",
"output": "1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1\n0\n",
"output": "1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1421/A | Solve the following coding problem using the programming language python:
In order to celebrate Twice's 5th anniversary, Tzuyu and Sana decided to play a game.
Tzuyu gave Sana two integers $a$ and $b$ and a really important quest.
In order to complete the quest, Sana has to output the smallest possible value of ($a \oplus x$) + ($b \oplus x$) for any given $x$, where $\oplus$ denotes the bitwise XOR operation.
-----Input-----
Each test contains multiple test cases. The first line contains the number of test cases $t$ ($1 \le t \le 10^{4}$). Description of the test cases follows.
The only line of each test case contains two integers $a$ and $b$ ($1 \le a, b \le 10^{9}$).
-----Output-----
For each testcase, output the smallest possible value of the given expression.
-----Example-----
Input
6
6 12
4 9
59 832
28 14
4925 2912
1 1
Output
10
13
891
18
6237
0
-----Note-----
For the first test case Sana can choose $x=4$ and the value will be ($6 \oplus 4$) + ($12 \oplus 4$) = $2 + 8$ = $10$. It can be shown that this is the smallest possible value.
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):
(n, k) = map(int, input().split())
print(n ^ k)
``` | vfc_143093 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1421/A",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\n6 12\n4 9\n59 832\n28 14\n4925 2912\n1 1\n",
"output": "10\n13\n891\n18\n6237\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\n6 12\n4 9\n59 832\n28 14\n4925 2912\n2 1\n",
"output": "10\n13\n891\n18\n6237\n3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\n6 12\n4 5\n59 832\n28 14\n4925 2912\n2 1\n",
"output": "10\n1\n891\n18\n6237\n3\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6\n6 12\n4 2\n59 832\n28 14\n4925 2912\n2 1\n",
"output": "10\n6\n891\n18\n6237\n3\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/INOIPRAC/problems/INOI1902 | Solve the following coding problem using the programming language python:
You are given $N$ integers in an array: $A[1], A[2], \ldots, A[N]$. You also have another integer $L$.
Consider a sequence of indices ($i_1, i_2, \ldots, i_k$). Note that a particular index can occur multiple times in the sequence, and there is no order in which these indices have to occur. ($i_1, i_2, \ldots, i_k$) is a sequence of size $k$. It is said to be an $Interesting$ sequence, if $A[i_1] \ge A[i_2] \ge \ldots \ge A[i_k]$.
The $Cost$ of an Interesting sequence ($i_1, i_2, \ldots, i_k$), is defined to be the minimum absolute difference between any two adjacent indices. In other words, the Cost is $min \{ |i_2 - i_1|, |i_3 - i_2|, \ldots, |i_k - i_{k-1}| \}$.
Your job is to consider the Costs of all the Interesting sequences of size $L$ associated with the given array, and output the maximum Cost. Note that you can show that there is always at least one Interesting sequence for the given constraints.
-----Input-----
- The first line contains a single integer, $T$, which is the number of testcases. The description of each testcase follows.
- The first line of each testcase contains two space separated integers: $N$ and $L$.
- The second line of each testcase contains $N$ space separated integers: $A[1], A[2], \ldots, A[N]$.
-----Output-----
- For each testcase, output the answer in a new line.
-----Constraints-----
- $1 \leq T \leq 3$
- $1 \leq A[i] \leq 10^9$
- $2 \leq L \leq 10^9$
-----Subtasks-----
- Subtask 1: 7 points
- It is guaranteed that $A[1] > A[2] > \ldots > A[N]$
- Note that the above condition implies that all elements are distinct.
- $1 \leq N \leq 500$
- Subtask 2: 7 points
- It is guaranteed that $A[1] \ge A[2] \ge \ldots \ge A[N]$
- $1 \leq N \leq 500$
- Subtask 3: 14 points
- It is guaranteed that all elements are distinct.
- $1 \leq N \leq 500$
- Subtask 4: 14 points
- $1 \leq N \leq 500$
- Subtask 5: 25 points
- It is guaranteed that all elements are distinct.
- $1 \leq N \leq 3000$
- Subtask 6: 33 points
- $1 \leq N \leq 3000$
-----Sample Input-----
1
6 3
2 4 1 12 3 5
-----Sample Output-----
3
-----Explanation-----
We are looking for Interesting sequences of length 3. Some of them are:
- (4, 2, 3): This is Interesting because $A[4] \ge A[2] \ge A[3]$. Its cost is $min \{ |2-4|, |3-2|\} = 1$.
- (5, 1, 1): Cost is 0.
- (2, 2, 2): Cost is 0.
- (6, 1, 3): Cost is 2.
- (6, 2, 5): Cost is 3.
There are other Interesting Sequences of length 3 as well. But if you list them all out, you'll see that the maximum Cost is 3. Hence the answer is 3.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
def insort(l, v):
s = 0
e = len(l)
while True:
mid = (s + e) // 2
if s == e or mid > len(l):
break
if l[mid][0] < v[0]:
s = mid + 1
elif l[mid][0] > v[0]:
e = mid
else:
break
l.insert(mid, v)
for _ in range(int(input())):
(n, l) = map(int, input().split())
a_l = list(map(int, input().split()))
dic = {}
dif = 0
for (i, v) in enumerate(a_l, start=1):
if v not in dic:
dic[v] = [i, i]
else:
dic[v][0] = min(dic[v][0], i)
dic[v][1] = max(dic[v][1], i)
dif = max(dif, dic[v][1] - dic[v][0])
ans = dif
if l <= len(set(a_l)):
i_l = [[v, i] for (i, v) in enumerate(a_l, start=1)]
i_l.sort(reverse=True)
dp = [[-1 for _ in range(l)] for _ in range(n)]
pq_l = [[] for _ in range(l)]
for i in range(1, n):
il = 1
dif_l = []
for j in range(i):
dif = abs(i_l[i][1] - i_l[j][1])
dif_l.append(dif)
dp[i][il] = max(dp[i][il], dif)
for il in range(2, min(l, i + 1)):
for (prev_max, ind) in reversed(pq_l[il - 1]):
if ind == i:
continue
if prev_max < dp[i][il]:
break
else:
dp[i][il] = max(dp[i][il], min(dif_l[ind], prev_max))
insort(pq_l[il], [dp[i][il], i])
il = 1
insort(pq_l[il], [dp[i][il], i])
ans = max(ans, dp[i][-1])
print(ans)
``` | vfc_143097 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/INOIPRAC/problems/INOI1902",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n6 3\n2 4 1 12 3 5\n",
"output": "3\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/CFINASUM | Solve the following coding problem using the programming language python:
You are given a sequence $A_1, A_2, \ldots, A_N$. For each $k$ ($1 \le k \le N$), let's define a function $f(k)$ in the following way:
- Consider a sequence $B_1, B_2, \ldots, B_N$, which is created by setting $A_k = 0$. Formally, $B_k = 0$ and $B_i = A_i$ for each valid $i \neq k$.
- $f(k)$ is the number of ways to split the sequence $B$ into two non-empty contiguous subsequences with equal sums.
Find the sum $S = f(1) + f(2) + \ldots + f(N)$.
-----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 $A_1, A_2, \ldots, A_N$.
-----Output-----
For each test case, print a single line containing one integer — the sum $S$.
-----Constraints-----
- $1 \le T \le 10$
- $2 \le N \le 2 \cdot 10^5$
- $1 \le |A_i| \le 10^9$ for each valid $i$
-----Example Input-----
2
6
1 2 1 1 3 1
3
4 1 4
-----Example Output-----
6
2
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 Counter
for _ in range(int(input())):
n = int(input())
a = list(map(int, input().split()))
ans = 0
total = sum(a)
prefix = 0
d = Counter()
for i in range(n):
remains = total - a[i]
if not remains % 2:
ans += d[remains // 2]
prefix += a[i]
d[prefix] += 1
d.clear()
suffix = 0
for i in range(n - 1, -1, -1):
remains = total - a[i]
if not remains % 2:
ans += d[remains // 2]
suffix += a[i]
d[suffix] += 1
print(ans)
``` | vfc_143102 | {
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CFINASUM",
"time_limit": "3 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n6\n1 2 1 1 3 1\n3\n4 1 4\n",
"output": "6\n2\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/MARCH12/problems/SPOON | Solve the following coding problem using the programming language python:
Chef recently saw the movie Matrix. He loved the movie overall but he didn't agree with some things in it. Particularly he didn't agree with the bald boy when he declared - There is no spoon. Being a chef, he understands the importance of the spoon and realizes that the universe can't survive without it. Furthermore, he is sure there is a spoon; he saw it in his kitchen this morning. So he has set out to prove the bald boy is wrong and find a spoon in the matrix. He has even obtained a digital map already. Can you help him?
Formally you're given a matrix of lowercase and uppercase Latin letters. Your job is to find out if the word "Spoon" occurs somewhere in the matrix or not. A word is said to be occurred in the matrix if it is presented in some row from left to right or in some column from top to bottom. Note that match performed has to be case insensitive.
-----Input-----
The first line of input contains a positive integer T, the number of test cases. After that T test cases follow. The first line of each test case contains two space separated integers R and C, the number of rows and the number of columns of the matrix M respectively. Thereafter R lines follow each containing C characters, the actual digital map itself.
-----Output-----
For each test case print one line. If a "Spoon" is found in Matrix, output "There is a spoon!" else output "There is indeed no spoon!" (Quotes only for clarity).
-----Constraints-----
1 ≤ T ≤ 100
1 ≤ R, C ≤ 100
-----Sample Input-----
3
3 6
abDefb
bSpoon
NIKHil
6 6
aaaaaa
ssssss
xuisdP
oooooo
ioowoo
bdylan
6 5
bdfhj
cacac
opqrs
ddddd
india
yucky
-----Sample Output-----
There is a spoon!
There is a spoon!
There is indeed no spoon!
-----Explanation-----
In the first test case, "Spoon" occurs in the second row. In the second test case, "spOon" occurs in the last column.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
spoon = ['SPOON', 'spoon']
def main():
try:
tc = int(input())
while tc > 0:
tc = tc - 1
[r, c] = input().split()
r = int(r)
c = int(c)
k = 0
flag = 0
matrix = [0] * r
i = 0
while i < r:
matrix[i] = input()
i = i + 1
for m in matrix:
for s in m:
if s == spoon[0][k] or s == spoon[1][k]:
k = k + 1
if k == 5:
flag = 1
k = 0
break
else:
k = 0
if flag == 1:
print('There is a spoon!')
continue
i = 0
k = 0
while i < c:
j = 0
while j < r:
if matrix[j][i] == spoon[0][k] or matrix[j][i] == spoon[1][k]:
k = k + 1
if k == 5:
flag = 1
k = 0
break
else:
k = 0
j = j + 1
i = i + 1
if flag == 1:
print('There is a spoon!')
continue
print('There is indeed no spoon!')
except:
return 0
main()
``` | vfc_143110 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/MARCH12/problems/SPOON",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n3 6\nabDefb\nbSpoon\nNIKHil\n6 6\naaaaaa\nssssss\nxuisdP\noooooo\nioowoo\nbdylan\n6 5\nbdfhj\ncacac\nopqrs\nddddd\nindia\nyucky\n",
"output": "There is a spoon!\nThere is a spoon!\nThere is indeed no spoon!\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/DEC15/problems/SEADIV | Solve the following coding problem using the programming language python:
Sereja has two integers — A and B — in 7-ary system. He wants to calculate the number C, such that B * C = A. It is guaranteed that B is a divisor of A.
Please, help Sereja calculate the number C modulo 7L.
-----Input-----
First line of input contains an integer T — the number of test cases. T tests follow.
For each test case, the first line contains the integer A, and the second line contains the integer B, and the third line contains the integer L. A and B are given in 7-ary system.
-----Output-----
Output the answer in 7-ary system.
-----Constraints-----
- 1 ≤ T ≤ 10
- A and B are both positive integers.
- Length of A is a positive integer and doesn't exceed 106.
- L and length of B are positive integers and do not exceed 10000.
-----Subtasks-----
- Sub task #1 (20 points): Length of A is a positive integer and doesn't exceed 20.
- Sub task #2 (30 points): Length of A is a positive integer and doesn't exceed 2000.
- Sub task #3 (50 points): Original constraints.
-----Example-----
Input:3
21
5
10
202
13
1
202
13
2
Output:3
3
13
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())
while t > 0:
a = int(input())
b = int(input())
l = int(input())
x = 0
y = 0
z = 0
a1 = 0
b1 = 0
c1 = 0
while a // 10 != 0 or a % 10 != 0:
a1 += (a % 10 + a // 10 % 10 * 7 + a // 100 % 10 * 49 + a // 1000 % 10 * 343 + a // 10000 % 10 * 2401 + a // 100000 % 10 * 16807 + a // 1000000 % 10 * 117649 + a // 10000000 % 10 * 823543 + a // 100000000 % 10 * 5764801 + a // 1000000000 % 10 * 40353607) * 282475249 ** x
x += 1
a //= 10000000000
while b // 10 != 0 or b % 10 != 0:
b1 += (b % 10 + b // 10 % 10 * 7 + b // 100 % 10 * 49 + b // 1000 % 10 * 343 + b // 10000 % 10 * 2401 + b // 100000 % 10 * 16807 + b // 1000000 % 10 * 117649 + b // 10000000 % 10 * 823543 + b // 100000000 % 10 * 5764801 + b // 1000000000 % 10 * 40353607) * 282475249 ** y
y += 1
b //= 10000000000
c = a1 // b1 % 7 ** l
while z < l:
c1 += (c % 7 + c // 7 % 7 * 10 + c // 49 % 7 * 100 + c // 343 % 7 * 1000 + c // 2401 % 7 * 10000 + c // 16807 % 7 * 100000 + c // 117649 % 7 * 1000000 + c // 823543 % 7 * 10000000 + c // 5764801 % 7 * 100000000 + c // 40353607 % 7 * 1000000000) * 10000000000 ** (z // 10)
c //= 282475249
z += 10
print(c1)
t -= 1
``` | vfc_143114 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/DEC15/problems/SEADIV",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n21\n5\n10\n202\n13\n1\n202\n13\n2\n",
"output": "3\n3\n13\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1430/B | Solve the following coding problem using the programming language python:
You have $n$ barrels lined up in a row, numbered from left to right from one. Initially, the $i$-th barrel contains $a_i$ liters of water.
You can pour water from one barrel to another. In one act of pouring, you can choose two different barrels $x$ and $y$ (the $x$-th barrel shouldn't be empty) and pour any possible amount of water from barrel $x$ to barrel $y$ (possibly, all water). You may assume that barrels have infinite capacity, so you can pour any amount of water in each of them.
Calculate the maximum possible difference between the maximum and the minimum amount of water in the barrels, if you can pour water at most $k$ times.
Some examples: if you have four barrels, each containing $5$ liters of water, and $k = 1$, you may pour $5$ liters from the second barrel into the fourth, so the amounts of water in the barrels are $[5, 0, 5, 10]$, and the difference between the maximum and the minimum is $10$; if all barrels are empty, you can't make any operation, so the difference between the maximum and the minimum amount is still $0$.
-----Input-----
The first line contains one integer $t$ ($1 \le t \le 1000$) — the number of test cases.
The first line of each test case contains two integers $n$ and $k$ ($1 \le k < n \le 2 \cdot 10^5$) — the number of barrels and the number of pourings you can make.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($0 \le a_i \le 10^{9}$), where $a_i$ is the initial amount of water the $i$-th barrel has.
It's guaranteed that the total sum of $n$ over test cases doesn't exceed $2 \cdot 10^5$.
-----Output-----
For each test case, print the maximum possible difference between the maximum and the minimum amount of water in the barrels, if you can pour water at most $k$ times.
-----Example-----
Input
2
4 1
5 5 5 5
3 2
0 0 0
Output
10
0
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
R = lambda : map(int, input().split())
(t,) = R()
exec(t * 'n,k=R();print(sum(sorted(R())[~k:]));')
``` | vfc_143119 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1430/B",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n4 1\n5 5 5 5\n3 2\n0 0 0\n",
"output": "10\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n4 2\n5 5 5 5\n3 2\n0 0 0\n",
"output": "15\n0\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n4 2\n5 5 5 5\n3 2\n0 0 1\n",
"output": "15\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n4 3\n5 5 2 5\n3 2\n0 1 0\n",
"output": "17\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n4 3\n5 5 2 1\n3 2\n0 1 0\n",
"output": "13\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2\n4 3\n5 1 2 1\n3 2\n0 1 0\n",
"output": "9\n1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/MOBKUN | Solve the following coding problem using the programming language python:
The followers of Psycho-Helmet religion follow a peculiar calendar – a normal year contains N days. Every K-th year is a “MOB” year. For example, if K = 4, then years 4, 8, 12, 16 \ldots are “MOB” years. A “MOB” year contains M additional days i.e. it contains N+M days.
Given X, determine whether the day after (X-1) days from Day 1 of Year 1 falls in a “MOB” year.
------ 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 N, M, K and X — the number of days in a normal year, the number of days in a “MOB” year, the number of years between two “MOB” years and the integer X.
------ Output Format ------
For each test case, output YES on a new line if the day after (X-1) days from Year 1, Day 1 falls in a “MOB” year, and NO otherwise.
You may print each character of YES and NO in uppercase or lowercase (for example, yes, yEs, Yes will be considered identical).
------ Constraints ------
$1 ≤ T ≤ 10^{5}$
$1 ≤ N, M, K ≤ 10^{4}$
$1 ≤ X ≤ 10^{9}$
----- Sample Input 1 ------
3
2 1 4 17
3 7 5 50
3 7 5 61
----- Sample Output 1 ------
YES
NO
YES
----- explanation 1 ------
Test case 1: Since $N = 2$, $M = 1$ and $K = 4$, years $4, 8, 12, 16 \ldots$ are “MOB” years and:
- Year $1$ has $N = 2$ days.
- Year $2$ has $N = 2$ days.
- Year $3$ has $N = 2$ days.
- Year $4$ is a “MOB” year and has $N + M = 3$ days.
- Year $5$ has $N = 2$ days.
- Year $6$ has $N = 2$ days.
- Year $7$ has $N = 2$ days.
- Year $8$ is a “MOB” year and has $N + M = 3$ days.
The $X = 17$-th day falls on the second day of Year $8$, which is a “MOB” year. Hence the answer is YES.
Test case 2: The $X = 50$-th day falls on the third day of Year $12$, which is not a “MOB” year. Hence the answer is NO.
Test case 3: The $X = 61$-st day falls on the fifth day of Year $15$, which is a “MOB” year. Hence the answer is YES.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
for i in range(int(input())):
(n, m, k, x) = map(int, input().split())
if x % (n * (k - 1) + n + m) > n * (k - 1) or x % (n * (k - 1) + n + m) == 0:
print('YES')
else:
print('NO')
``` | vfc_143123 | {
"difficulty": "easy",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/MOBKUN",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n2 1 4 17\n3 7 5 50\n3 7 5 61",
"output": "YES\nNO\nYES",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/CUBE2020/problems/STROCK | Solve the following coding problem using the programming language python:
Rakesh has built a model rocket and wants to test how stable it is. He usually uses a magic box which runs some tests on the rocket and tells if it is stable or not, but his friend broke it by trying to find out how stable he is (very delicate magic indeed). The box only gives a polynomial equation now which can help Rakesh find the stability (a failsafe by the manufacturers).
Rakesh reads the manual for the magic box and understands that in order to determine stability, he needs to take every other term and put them in two rows. Eg. If the polynomial is:
10 x^4 + 12 x^3 + 4 x^2 + 5 x + 3, the first two rows will be:
Row 1: 10 4 3
Row 2: 12 5 0
For all other rows, the nth element of the rth row is found recursively by multiplying the 1st element of the (r-1)th row and (n+1)th element of the (r-2)th row and subtracting it with 1st element of the (r-2)th row multiplied by (n+1)th element of the (r-1)th row.
So Row 3 will be (12 * 4 - 10 * 5) (12 * 3 - 10 * 0)
Row 3: -2 36 0
Row 4: -442 0 0
Row 5: -15912 0 0
There will not be any row six (number of rows = maximum power of x + 1)
The rocket is stable if there are no sign changes in the first column.
If all the elements of the rth row are 0, replace the nth element of the rth row by the nth element of the (r-1)th row multiplied by (maximum power of x + 4 - r - 2n).
If the first element of any row is 0 and some of the other elements are non zero, the rocket is unstable.
Can you help Rakesh check if his rocket is stable?
Input Format:
1. First row with number of test cases (T).
2. Next T rows with the coefficients of the polynomials for each case (10 12 4 5 3 for the case above).
Output Format:
1. "1" if stable (without "")
2. "0" if unstable (without "")
Sample Input:
1
10 12 4 5 3
Sample Output:
0
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import random
def sign(i):
if i > 0:
return 1
elif i <= 0:
return 0
bleh = []
for _ in range(int(input())):
p = list(map(int, input().rstrip().split()))
max_rows = len(p)
if all([x == 0 for x in p]):
print(1)
continue
if max_rows <= 1:
bleh.append(max_rows)
continue
max_pow = max_rows - 1
if len(p) % 2 != 0 and len(p) > 0:
p.append(0)
max_col = len(p) // 2
rows = [[0 for _ in range(max_col)] for _ in range(max_rows)]
rows[0] = p[::2]
rows[1] = p[1::2]
if sign(rows[0][0]) != sign(rows[1][0]):
print(0)
continue
for r in range(2, max_rows):
for n in range(max_col - 1):
rows[r][n] = rows[r - 1][0] * rows[r - 2][n + 1] - rows[r - 2][0] * rows[r - 1][n + 1]
last = sign(rows[0][0])
flag = 1
for i in range(1, len(rows)):
curr = sign(rows[i][0])
if rows[r] == [0 for _ in range(max_col)]:
for n in range(max_col):
rows[r][n] = rows[r - 1][n] * (max_pow + 4 - (r + 1) - 2 * (n + 1))
elif rows[i][0] == 0:
if any([x != 0 for x in rows[i]]):
flag = 0
break
else:
curr = last
if curr != last:
flag = 0
break
last = curr
print(flag)
``` | vfc_143127 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/CUBE2020/problems/STROCK",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n10 12 4 5 3\n",
"output": "0\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/275/B | Solve the following coding problem using the programming language python:
Consider an n × m grid. Initially all the cells of the grid are colored white. Lenny has painted some of the cells (at least one) black. We call a painted grid convex if one can walk from any black cell to any another black cell using a path of side-adjacent black cells changing his direction at most once during the path. In the figure below, the left grid is convex while the right one is not convex, because there exist two cells which need more than one time to change direction in their path. [Image]
You're given a painted grid in the input. Tell Lenny if the grid is convex or not.
-----Input-----
The first line of the input contains two integers n and m (1 ≤ n, m ≤ 50) — the size of the grid. Each of the next n lines contains m characters "B" or "W". Character "B" denotes a black cell of the grid and "W" denotes a white cell of the grid.
It's guaranteed that the grid has at least one black cell.
-----Output-----
On the only line of the output print "YES" if the grid is convex, otherwise print "NO". Do not print quotes.
-----Examples-----
Input
3 4
WWBW
BWWW
WWWB
Output
NO
Input
3 1
B
B
W
Output
YES
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
(n, m) = list(map(int, input().split()))
(row, col_sum, row_sum, black) = ([], [], [], [])
for i in range(n):
row.append(input())
t = [0]
for j in range(m):
t += [t[j] + (row[i][j] == 'B')]
row_sum += [t]
d = [[0, 1], [1, 0], [-1, 0], [0, -1]]
for i in range(n):
for j in range(m):
if row[i][j] is 'W':
continue
w = 0
for di in d:
x = i + di[0]
y = j + di[1]
if x < 0 or y < 0 or x >= n or (y >= m):
w += 1
continue
if row[x][y] is 'W':
w += 1
if w > 0:
black.append((i, j))
for i in range(m):
t = [0]
for j in range(n):
t += [t[j] + (row[j][i] == 'B')]
col_sum += [t]
def row_check(r, s, e):
if s > e:
(e, s) = (s, e)
return row_sum[r][e + 1] - row_sum[r][s] == e - s + 1
def col_check(c, s, e):
if s > e:
(e, s) = (s, e)
return col_sum[c][e + 1] - col_sum[c][s] == e - s + 1
res = True
for i in black:
for j in black:
if i <= j:
continue
a = row_check(i[0], i[1], j[1]) and col_check(j[1], i[0], j[0])
b = row_check(j[0], i[1], j[1]) and col_check(i[1], i[0], j[0])
res = res and (a or b)
print('YES' if res else 'NO')
``` | vfc_143132 | {
"difficulty": "medium_hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/275/B",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3 4\nWWBW\nBWWW\nWWWB\n",
"output": "NO\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 1\nB\nB\nW\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 1\nB\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 2\nBB\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1\nB\nB\n",
"output": "YES\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Roy has a wooden log (tree trunk) of length L units.
Since the log is too heavy for him to lift, he wants to cut it into pieces.
He can lift pieces of length 1 or 2 units.
He wonders in how many ways can he make such pieces of the wooden log.
Now Roy is too lazy, so he would also like to finish cutting with minimum number of cuts.
So, for given length L, find
(1) W - number of ways he can make pieces of the wooden log in lengths of 1 or 2 and
(2) M - minimum number of cuts required.
Input:
First line of input will contain integer T, number of Test Cases
Next T lines each will contain integer L, length of wooden log.
Output:
For each test case, print in a new line two space separated integers W and M
Constraints:
1 ≤ T ≤ 10000
1 ≤ L ≤ 1000000000 (10^9)
Sample Tests Explanation:SAMPLE INPUT
2
3
4
SAMPLE OUTPUT
2 1
3 1
Explanation
For Sample Test #1:
Two possible ways are shown in figure, out of those two in 1st way number of cuts required is minimum, just 1 cut.
For Sample Test #2:
Out of 3 possible ways as shown, number of cuts required is minimum in 1st way, which is 1.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
k = int(input())
for c in range(k):
a = int(input())
if a%2 == 0:
print(a/2+1,a/2-1)
else:
print((a-1)/2+1,(a-1)/2)
``` | vfc_143136 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": 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270511\n278169 278168\n157894 157892\n191015 191014\n265147 265146\n257715 257714\n448996 448995\n301800 301798\n421208 421206\n176611 176610\n118107 118105\n314845 314843\n408561 408559\n367232 367231\n496126 496125\n265383 265381\n130098 130096\n328436 328434\n144849 144847\n72647 72646\n222958 222956\n172359 172358\n293336 293334\n126992 126991\n259116 259114\n71878 71877\n200909 200908\n294070 294068\n491522 491520\n440590 440589\n92079 92078\n461062 461060\n283974 283973\n209894 209892\n455934 455932\n95480 95478\n331308 331306\n72089 72087\n318135 318134\n380923 380921\n325170 325169\n91664 91662\n124191 124189\n447328 447327\n447015 447013\n390707 390706\n201371 201369\n409561 409559\n172176 172175\n312579 312578\n494275 494274\n342991 342990\n138110 138109\n386957 386955\n83924 83923\n412791 412789\n59787 59785\n313923 313921\n447118 447117\n273257 273255\n150323 150321\n415256 415254\n354625 354624\n304637 304636\n386002 386000\n92790 92789\n69777 69776\n317931 317929\n150927 150926\n399638 399636\n272648 272647\n355976 355974\n183267 183265\n454348 454346\n225969 225968\n463895 463893\n418712 418710\n82704 82703\n339716 339714\n356487 356485\n194448 194447\n397365 397363\n367815 367813\n273860 273859\n240362 240360\n482020 482018\n130504 130503\n494505 494504\n244328 244326\n195107 195106\n325277 325275\n490111 490109\n394124 394123\n352141 352139\n306909 306908\n152032 152031\n280560 280559\n425961 425960\n269027 269025\n438024 438022\n350272 350271\n258505 258504\n399261 399259\n134559 134557\n208724 208723\n105038 105036\n140448 140447\n282974 282973\n129415 129414\n345190 345189\n144681 144679\n489847 489846\n84151 84149\n211364 211363\n80158 80157\n234163 234161\n85088 85086\n77613 77611\n316797 316796\n158667 158665\n326914 326913\n211566 211565\n106640 106639\n268570 268568\n201306 201304\n384344 384343\n260494 260493\n421701 421699\n145664 145663\n404994 404993\n303665 303663\n415031 415030\n263792 263790\n379441 379439\n399458 399457\n229813 229811\n228025 228024\n484576 484574\n443421 443419\n55344 55343\n404484 404482\n333790 333789\n439521 439520\n143687 143685\n402026 402025\n242186 242184\n358298 358297\n70196 70195\n97877 97876\n339792 339791\n364350 364349\n356431 356430\n215034 215033\n216394 216392\n180948 180947\n424507 424506\n308144 308142\n150424 150423\n494436 494435\n312488 312486\n195068 195067\n444400 444399\n300864 300863\n464824 464822\n470350 470348\n319657 319656\n406324 406323\n198918 198917\n118763 118762\n401253 401252\n200574 200572\n69473 69472\n187682 187680\n493178 493176\n328433 328432\n259341 259340\n437278 437277\n347400 347399\n125682 125681\n150688 150687\n230357 230356\n466718 466716\n181894 181892\n64954 64953\n50506 50504",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100\n1\n2\n113\n9\n3\n635\n945\n442\n756\n306\n848\n108\n289\n873\n842\n382\n334\n617\n879\n922\n827\n79\n280\n863\n440\n372\n575\n707\n105\n5\n816\n453\n770\n244\n435\n377\n48\n566\n13\n911\n342\n145\n520\n719\n223\n800\n533\n657\n859\n245\n301\n812\n581\n498\n955\n256\n637\n527\n226\n161\n290\n921\n90\n391\n221\n928\n839\n238\n917\n481\n789\n734\n624\n491\n511\n553\n50\n422\n220\n510\n755\n677\n854\n85\n749\n598\n909\n20\n856\n661\n746\n604\n4\n753\n818\n270\n10\n489\n871\n471",
"output": "39 38\n375 374\n352 350\n315 314\n165 163\n114 113\n174 173\n309 307\n344 342\n442 440\n36 34\n88 87\n147 146\n430 428\n228 226\n151 150\n337 335\n427 426\n491 490\n187 185\n356 354\n334 333\n479 478\n74 72\n168 166\n143 142\n162 161\n494 492\n383 382\n406 405\n281 280\n469 468\n412 410\n138 136\n139 137\n40 39\n224 222\n405 404\n153 151\n305 304\n427 425\n448 446\n343 341\n293 292\n4 3\n175 173\n219 217\n370 368\n85 83\n65 63\n277 275\n254 253\n230 228\n53 51\n182 180\n428 427\n35 33\n152 150\n280 278\n456 455\n310 309\n493 491\n375 373\n184 183\n137 135\n220 219\n317 316\n36 35\n127 126\n479 477\n50 49\n430 429\n379 377\n446 445\n57 55\n76 75\n203 202\n287 286\n443 442\n380 379\n467 465\n59 57\n13 12\n9 8\n296 295\n194 193\n155 154\n76 74\n212 210\n13 11\n431 430\n258 256\n106 105\n402 400\n103 101\n106 104\n472 470\n104 102\n358 357\n241 239",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "100\n77\n749\n702\n629\n328\n227\n347\n616\n686\n882\n70\n175\n293\n858\n454\n301\n672\n853\n981\n372\n710\n667\n957\n146\n334\n285\n323\n986\n765\n811\n561\n937\n822\n274\n276\n79\n446\n809\n304\n609\n852\n894\n684\n585\n7\n348\n436\n738\n168\n128\n552\n507\n458\n104\n362\n855\n68\n302\n558\n911\n619\n984\n748\n367\n272\n439\n633\n71\n253\n956\n99\n859\n756\n891\n112\n151\n405\n573\n885\n759\n932\n116\n25\n17\n591\n387\n309\n150\n422\n24\n861\n514\n211\n802\n204\n210\n942\n206\n715\n480",
"output": "1 0\n2 0\n57 56\n5 4\n2 1\n318 317\n473 472\n222 220\n379 377\n154 152\n425 423\n55 53\n145 144\n437 436\n422 420\n192 190\n168 166\n309 308\n440 439\n462 460\n414 413\n40 39\n141 139\n432 431\n221 219\n187 185\n288 287\n354 353\n53 52\n3 2\n409 407\n227 226\n386 384\n123 121\n218 217\n189 188\n25 23\n284 282\n7 6\n456 455\n172 170\n73 72\n261 259\n360 359\n112 111\n401 399\n267 266\n329 328\n430 429\n123 122\n151 150\n407 405\n291 290\n250 248\n478 477\n129 127\n319 318\n264 263\n114 112\n81 80\n146 144\n461 460\n46 44\n196 195\n111 110\n465 463\n420 419\n120 118\n459 458\n241 240\n395 394\n368 366\n313 311\n246 245\n256 255\n277 276\n26 24\n212 210\n111 109\n256 254\n378 377\n339 338\n428 426\n43 42\n375 374\n300 298\n455 454\n11 9\n429 427\n331 330\n374 372\n303 301\n3 1\n377 376\n410 408\n136 134\n6 4\n245 244\n436 435\n236 235",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "19\n1\n10\n100\n1000\n10000\n100000\n1000000\n10000000\n100000000\n1000000000\n9\n99\n999\n9999\n99999\n999999\n9999999\n99999999\n999999999",
"output": "1 0\n6 4\n51 49\n501 499\n5001 4999\n50001 49999\n500001 499999\n5000001 4999999\n50000001 49999999\n500000001 499999999\n5 4\n50 49\n500 499\n5000 4999\n50000 49999\n500000 499999\n5000000 4999999\n50000000 49999999\n500000000 499999999",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | Solve the following coding problem using the programming language python:
Monk and his P-1 friends recently joined a college. He finds that N students have already applied for different courses before him. Courses are assigned numbers from 1 to C. He and his friends will follow the following conditions when choosing courses:-
They will choose the course i (1 ≤ i ≤ C), for which the value of z is minimum. Here, z = x*c where c is the number of students already enrolled in the course i and x is the sum of IQ of the last two students who enrolled in that course. If a single student has applied for a course, then the value of x will be that student's IQ. If no student has enrolled for that course, then value of x will be 0. If the value of z is same for two courses, then they will choose the course with the minimum course number. You need to find which courses Monk and his friends should take after following the above conditions.
Note: Each of them will choose their courses, one at a time. Monk will choose his course first followed by his friends.
Input:
The first line contains the numbers C, P and N where C denotes the number of courses in that college, P denotes Monk and his friends and N denotes the number of students who have already applied for the courses.
The next line consists of N space separated integers Y[i] which denotes the IQ of the i^th student. Here, the i^th student chooses the i^th course.
The next line consists of P space separated integers X[i] which denotes the IQ of Monk and his friends.
Output:
Print P space separated integers in a line which denotes the course number which Monk and his friends have applied for.
Constraints:
1 ≤ C ≤ 100000
1 ≤ P ≤ 100000
1 ≤ N ≤ C
1 ≤ Y[i],X[i] ≤ 100000
SAMPLE INPUT
5 4 4
2 8 5 1
9 10 5 1
SAMPLE OUTPUT
5 4 1 3
Explanation
In the sample test case, the last course has not been applied by anyone. So, its sum will be 0 initially. Hence, Monk will apply there as the value of z = 0.
Now Monk's first friend will apply for the 4th course as its value of z = 1, which is minimum of all the four courses.
Monk's second friend will apply for the 1st course as its value of z = 2, which is minimum of all the four courses.
Similarly, Monk's third friend will apply for the 3rd course as its value of z = 5, which is minimum of all the four courses.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import heapq
def solve(c, iqs, piqs):
res = []
q = [(0, i, 0, (0, 0)) for i in range(len(iqs) + 1, c + 1)]
q += [(iq, i, 1, (0, iq)) for i, iq in enumerate(iqs, 1)]
heapq.heapify(q)
for iq in piqs:
_, course, student_count, last_iqs = q[0]
res.append(course)
student_count += 1
last_iqs = (last_iqs[1], iq)
heapq.heapreplace(q, (sum(last_iqs) * student_count, course, student_count, last_iqs))
return ' '.join(str(r) for r in res)
if __name__ == '__main__':
''' Once again one of the input is broken on codemonk ... '''
c, p, _ = list(map(int, input().split()))
iqs = list(map(int, input().split()))
piqs = list(map(int, input().split()))
piqs += [0] * (p - len(piqs)) # because input is truncated ...
print(solve(c, iqs, piqs))
``` | vfc_143148 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "10 10 10\n2 8 5 1 10 5 9 9 3 5\n2 5 1 8 6 5 1 10 1 6",
"output": "4 1 9 3 6 10 4 2 9 9 ",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/1767/B | Solve the following coding problem using the programming language python:
There are $n$ block towers, numbered from $1$ to $n$. The $i$-th tower consists of $a_i$ blocks.
In one move, you can move one block from tower $i$ to tower $j$, but only if $a_i > a_j$. That move increases $a_j$ by $1$ and decreases $a_i$ by $1$. You can perform as many moves as you would like (possibly, zero).
What's the largest amount of blocks you can have on the tower $1$ after the moves?
-----Input-----
The first line contains a single integer $t$ ($1 \le t \le 10^4$) — the number of testcases.
The first line of each testcase contains a single integer $n$ ($2 \le n \le 2 \cdot 10^5$) — the number of towers.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$) — the number of blocks on each tower.
The sum of $n$ over all testcases doesn't exceed $2 \cdot 10^5$.
-----Output-----
For each testcase, print the largest amount of blocks you can have on the tower $1$ after you make any number of moves (possibly, zero).
-----Examples-----
Input
4
3
1 2 3
3
1 2 2
2
1 1000000000
10
3 8 6 7 4 1 2 4 10 1
Output
3
2
500000001
9
-----Note-----
In the first testcase, you can move a block from tower $2$ to tower $1$, making the block counts $[2, 1, 3]$. Then move a block from tower $3$ to tower $1$, making the block counts $[3, 1, 2]$. Tower $1$ has $3$ blocks in it, and you can't obtain a larger amount.
In the second testcase, you can move a block from any of towers $2$ or $3$ to tower $1$, so that it has $2$ blocks in it.
In the third testcase, you can $500000000$ times move a block from tower $2$ to tower $1$. After that the block countes will be $[500000001, 500000000]$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
rd = sys.stdin.readline
for _ in range(int(rd())):
n = int(rd())
a = list(map(int, rd().split()))
b = sorted(a[1:])
ans = a[0]
for i in b:
if i > ans:
ans = (ans + i + 1) // 2
print(ans)
``` | vfc_143152 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1767/B",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n3\n1 2 3\n3\n1 2 2\n2\n1 1000000000\n10\n3 8 6 7 4 1 2 4 10 1\n",
"output": "3\n2\n500000001\n9\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/flipping-bits-no-and-binary-format-in-reverse-order0513/1 | Solve the following coding problem using the programming language python:
Given a list of 32 bit unsigned integers N. Find X, the unsigned integer you get by flipping bits in the binary representation of N. i.e. unset bits must be set, and set bits must be unset. Also find the binary representation of X in reverse order.
Example 1:
Input: N = 1
Output: 4294967294 01111111111111111111111111111111
Explaination:
1 as unsigned 32-bits is 00000000000000000000000000000001.
Flipping its bits we get 11111111111111111111111111111110.
Its binary representation is 4294967294.
Its reverse order is 01111111111111111111111111111111.
Example 2:
Input: N = 2
Output: 4294967293 10111111111111111111111111111111
Explaination:
2 as unsigned 32-bits is 00000000000000000000000000000010.
Flipping its bits we get 11111111111111111111111111111101.
Its binary representation is 4294967293.
Its reverse order is 1011111111111111111111111111111.
Your Task:
You do not need to read input or print anything. Your task is to complete the function flipBits() which takes N as input parameter and returns a list of strings containing two values, X and binary representation of X in reverse order.
Expected Time Complexity: O(logN)
Expected Auxiliary Space: O(logN)
Constraints:
1 ≤ N < 4294967296
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def flipBits(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 flipBits(self, N):
num = 4294967295 - N
binary_num = bin(num)[2:]
return (num, ''.join(reversed(['0'] * (32 - len(binary_num)) + list(binary_num))))
``` | vfc_143156 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/flipping-bits-no-and-binary-format-in-reverse-order0513/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "N = 1",
"output": "4294967294 01111111111111111111111111111111",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "N = 2",
"output": "4294967293 10111111111111111111111111111111",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1629/A | Solve the following coding problem using the programming language python:
Did you know you can download more RAM? There is a shop with $n$ different pieces of software that increase your RAM. The $i$-th RAM increasing software takes $a_i$ GB of memory to run (temporarily, once the program is done running, you get the RAM back), and gives you an additional $b_i$ GB of RAM (permanently). Each software can only be used once. Your PC currently has $k$ GB of RAM.
Note that you can't use a RAM-increasing software if it takes more GB of RAM to use than what you currently have.
Since RAM is the most important thing in the world, you wonder, what is the maximum possible amount of RAM achievable?
-----Input-----
The first line of the input contains a single integer $t$ ($1 \le t \le 100$) — the number of test cases. The description of test cases follows.
The first line of each test case contains the integers $n$ and $k$ ($1 \le n \le 100$, $1 \le k \le 1000$). Then two lines follow, each containing $n$ integers describing the arrays $a$ and $b$ ($1 \le a_i, b_i \le 1000$).
-----Output-----
For each test case, output a single line containing the largest amount of RAM you can achieve.
-----Examples-----
Input
4
3 10
20 30 10
9 100 10
5 1
1 1 5 1 1
1 1 1 1 1
5 1
2 2 2 2 2
100 100 100 100 100
5 8
128 64 32 16 8
128 64 32 16 8
Output
29
6
1
256
-----Note-----
In the first test case, you only have enough RAM to run the third software initially, but that increases your RAM to $20$ GB, which allows you to use the first software, increasing your RAM to $29$ GB. The only software left needs $30$ GB of RAM, so you have to stop here.
In the second test case, you can use the first, second, fourth and fifth software that need only $1$ GB of RAM per software to run to increase your RAM to $5$ GB, and then use the last remaining one to increase your RAM to $6$ GB.
In the third test case, all the software need more than $1$ GB of RAM to run, so the amount of RAM you have stays at $1$ GB.
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) = map(int, input().split())
mem = list(map(int, input().split()))
ram = list(map(int, input().split()))
dp = []
for i in range(n):
dp.append([mem[i], ram[i]])
dp.sort()
rm = k
for i in dp:
if i[0] <= rm:
rm += i[1]
else:
break
print(rm)
``` | vfc_143159 | {
"difficulty": "easy",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1629/A",
"time_limit": "1 second"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n3 10\n20 30 10\n9 100 10\n5 1\n1 1 5 1 1\n1 1 1 1 1\n5 1\n2 2 2 2 2\n100 100 100 100 100\n5 8\n128 64 32 16 8\n128 64 32 16 8\n",
"output": "29\n6\n1\n256\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1\n1 1000\n1000\n1000\n",
"output": "2000\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/find-the-smallest-and-second-smallest-element-in-an-array3226/1 | Solve the following coding problem using the programming language python:
Given an array of integers, your task is to find the smallest and second smallest element in the array. If smallest and second smallest do not exist, print -1.
Example 1:
Input :
5
2 4 3 5 6
Output :
2 3
Explanation:
2 and 3 are respectively the smallest
and second smallest elements in the array.
Example 2:
Input :
6
1 2 1 3 6 7
Output :
1 2
Explanation:
1 and 2 are respectively the smallest
and second smallest elements in the array.
Your Task:
You don't need to read input or print anything. Your task is to complete the function minAnd2ndMin() which takes the array A[] and its size N as inputs and returns a vector containing the smallest and second smallest element if possible, else return {-1,-1}.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)
Constraints:
1<=N<=10^{5}
1<=A[i]<=10^{5}
Write your solution by modifying this code:
```python
#User function Template for python3
def minAnd2ndMin( a, n):
#code here
```
Your solution should implemented in the function "minAnd2ndMin". The inputs will be passed to it and it should return the correct solution.
Now solve the problem and return the code. | ```python
def minAnd2ndMin(a, n):
a = list(set(a))
a.sort()
l = a[:2]
if len(l) == 2:
return l
else:
return (-1, -1)
``` | vfc_143172 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/find-the-smallest-and-second-smallest-element-in-an-array3226/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": "minAnd2ndMin",
"input": "5\n2 4 3 5 6",
"output": "2 3",
"type": "function_call"
},
{
"fn_name": "minAnd2ndMin",
"input": "6\n1 2 1 3 6 7",
"output": "1 2",
"type": "function_call"
}
]
} |
taco | verifiable_code | https://practice.geeksforgeeks.org/problems/check-if-it-is-possible-to-survive-on-island4922/1 | Solve the following coding problem using the programming language python:
Ishika got stuck on an island. There is only one shop on this island and it is open on all days of the week except for Sunday. Consider following constraints:
N – The maximum unit of food you can buy each day.
S – Number of days you are required to survive.
M – Unit of food required each day to survive.
Currently, it’s Monday, and she needs to survive for the next S days.
Find the minimum number of days on which you need to buy food from the shop so that she can survive the next S days, or determine that it isn’t possible to survive.
Example 1:
Input: S = 10, N = 16, M = 2
Output: 2
Explaination: One possible solution is to
buy a box on the first day (Monday),
it’s sufficient to eat from this box up to
8th day (Monday) inclusive. Now, on the 9th
day (Tuesday), you buy another box and use
the chocolates in it to survive the 9th and
10th day.
Example 2:
Input: S = 10, N = 20, M = 30
Output: -1
Explaination: She can’t survive even if
she buy food because the maximum number
of units she can buy in 1 day is less the
required food for 1 day.
Your Task:
You do not need to read input or print anything. Your task is to complete the function minimumDays() which takes S, N, and M as input parameters and returns the minimum number of days Ishika needs to buy food. Otherwise, returns -1 if she cannot survive.
Expected Time Complexity: O(1)
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ N, S ≤ 50
1 ≤ M ≤ 30
Write your solution by modifying this code:
```python
#User function Template for python3
class Solution:
def minimumDays(self, S, 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 minimumDays(self, S, N, M):
if M * 7 > N * 6 and S > 6 or M > N:
return -1
else:
day = M * S // N
if M * S % N != 0:
day += 1
return day
``` | vfc_143174 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://practice.geeksforgeeks.org/problems/check-if-it-is-possible-to-survive-on-island4922/1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "S = 10, N = 16, M = 2",
"output": "2",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "S = 10, N = 20, M = 30",
"output": "-1",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1300/D | Solve the following coding problem using the programming language python:
Guy-Manuel and Thomas are going to build a polygon spaceship.
You're given a strictly convex (i. e. no three points are collinear) polygon P which is defined by coordinates of its vertices. Define P(x,y) as a polygon obtained by translating P by vector \overrightarrow {(x,y)}. The picture below depicts an example of the translation:
<image>
Define T as a set of points which is the union of all P(x,y) such that the origin (0,0) lies in P(x,y) (both strictly inside and on the boundary). There is also an equivalent definition: a point (x,y) lies in T only if there are two points A,B in P such that \overrightarrow {AB} = \overrightarrow {(x,y)}. One can prove T is a polygon too. For example, if P is a regular triangle then T is a regular hexagon. At the picture below P is drawn in black and some P(x,y) which contain the origin are drawn in colored:
<image>
The spaceship has the best aerodynamic performance if P and T are similar. Your task is to check whether the polygons P and T are [similar](https://tinyurl.com/vp5m7vl).
Input
The first line of input will contain a single integer n (3 ≤ n ≤ 10^5) — the number of points.
The i-th of the next n lines contains two integers x_i, y_i (|x_i|, |y_i| ≤ 10^9), denoting the coordinates of the i-th vertex.
It is guaranteed that these points are listed in counterclockwise order and these points form a strictly convex polygon.
Output
Output "YES" in a separate line, if P and T are similar. Otherwise, output "NO" in a separate line. You can print each letter in any case (upper or lower).
Examples
Input
4
1 0
4 1
3 4
0 3
Output
YES
Input
3
100 86
50 0
150 0
Output
nO
Input
8
0 0
1 0
2 1
3 3
4 6
3 6
2 5
1 3
Output
YES
Note
The following image shows the first sample: both P and T are squares. The second sample was shown in the statements.
<image>
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
import math
from collections import defaultdict
from collections import deque
from itertools import combinations
from itertools import permutations
input = lambda : sys.stdin.readline().rstrip()
read = lambda : list(map(int, input().split()))
go = lambda : 1 / 0
def write(*args, sep='\n'):
for i in args:
sys.stdout.write('{}{}'.format(i, sep))
INF = float('inf')
MOD = int(1000000000.0 + 7)
YES = 'YES'
NO = 'NO'
def vt(p1, p2):
return [p2[0] - p1[0], p2[1] - p1[1]]
def isSame(vt1, vt2):
if vt1[0] == vt2[0] and vt1[1] == vt2[1]:
return True
if vt1[0] == -vt2[0] and vt1[1] == -vt2[1]:
return True
return False
n = int(input())
arr = [read() for i in range(n)]
arr.append(arr[0])
if n % 2 == 1:
print(NO)
exit()
for i in range(n // 2):
vt1 = vt(arr[i], arr[i + 1])
vt2 = vt(arr[i + n // 2], arr[i + n // 2 + 1])
if not isSame(vt1, vt2):
print(NO)
exit()
print(YES)
``` | vfc_143175 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1300/D",
"time_limit": "1.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "6\n-99555247 -9420873\n-68495517 -72858523\n-56392372 -82582689\n-45496035 -89051170\n-76555765 -25613520\n-88658910 -15889354\n",
"output": "YES\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n15618728 -98772746\n91392611 40588059\n88444454 46664531\n12670571 -92696274\n",
"output": "YES\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1165/F1 | Solve the following coding problem using the programming language python:
The only difference between easy and hard versions is constraints.
Ivan plays a computer game that contains some microtransactions to make characters look cooler. Since Ivan wants his character to be really cool, he wants to use some of these microtransactions — and he won't start playing until he gets all of them.
Each day (during the morning) Ivan earns exactly one burle.
There are $n$ types of microtransactions in the game. Each microtransaction costs $2$ burles usually and $1$ burle if it is on sale. Ivan has to order exactly $k_i$ microtransactions of the $i$-th type (he orders microtransactions during the evening).
Ivan can order any (possibly zero) number of microtransactions of any types during any day (of course, if he has enough money to do it). If the microtransaction he wants to order is on sale then he can buy it for $1$ burle and otherwise he can buy it for $2$ burles.
There are also $m$ special offers in the game shop. The $j$-th offer $(d_j, t_j)$ means that microtransactions of the $t_j$-th type are on sale during the $d_j$-th day.
Ivan wants to order all microtransactions as soon as possible. Your task is to calculate the minimum day when he can buy all microtransactions he want and actually start playing.
-----Input-----
The first line of the input contains two integers $n$ and $m$ ($1 \le n, m \le 1000$) — the number of types of microtransactions and the number of special offers in the game shop.
The second line of the input contains $n$ integers $k_1, k_2, \dots, k_n$ ($0 \le k_i \le 1000$), where $k_i$ is the number of copies of microtransaction of the $i$-th type Ivan has to order. It is guaranteed that sum of all $k_i$ is not less than $1$ and not greater than $1000$.
The next $m$ lines contain special offers. The $j$-th of these lines contains the $j$-th special offer. It is given as a pair of integers $(d_j, t_j)$ ($1 \le d_j \le 1000, 1 \le t_j \le n$) and means that microtransactions of the $t_j$-th type are on sale during the $d_j$-th day.
-----Output-----
Print one integer — the minimum day when Ivan can order all microtransactions he wants and actually start playing.
-----Examples-----
Input
5 6
1 2 0 2 0
2 4
3 3
1 5
1 2
1 5
2 3
Output
8
Input
5 3
4 2 1 3 2
3 5
4 2
2 5
Output
20
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
def main():
(n, m) = map(int, input().split())
k = [int(x) for x in input().split()]
d = [[] for _ in range(4 * 10 ** 5 + 1)]
for j in range(m):
(dj, tj) = map(int, input().split())
d[dj - 1].append(tj - 1)
(lo, hi) = (0, 4 * 10 ** 5 + 1)
while lo < hi:
mi = (hi + lo) // 2
cash = mi
offset = 0
_k = k[:]
for i in reversed(range(mi)):
for j in d[i]:
while cash and _k[j]:
_k[j] -= 1
cash -= 1
if cash == i + 1:
cash -= 2
offset += 1
if 2 * (sum(_k) - offset) <= cash:
hi = mi
else:
lo = mi + 1
print(lo)
input = iter(sys.stdin.read().splitlines()).__next__
main()
``` | vfc_143180 | {
"difficulty": "hard",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1165/F1",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 6\n1 2 0 2 0\n2 4\n3 3\n1 5\n1 2\n1 5\n2 3\n",
"output": "8\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/146/D | Solve the following coding problem using the programming language python:
Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves long lucky numbers very much. He is interested in the minimum lucky number d that meets some condition. Let cnt(x) be the number of occurrences of number x in number d as a substring. For example, if d = 747747, then cnt(4) = 2, cnt(7) = 4, cnt(47) = 2, cnt(74) = 2. Petya wants the following condition to fulfil simultaneously: cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. Petya is not interested in the occurrences of other numbers. Help him cope with this task.
Input
The single line contains four integers a1, a2, a3 and a4 (1 ≤ a1, a2, a3, a4 ≤ 106).
Output
On the single line print without leading zeroes the answer to the problem — the minimum lucky number d such, that cnt(4) = a1, cnt(7) = a2, cnt(47) = a3, cnt(74) = a4. If such number does not exist, print the single number "-1" (without the quotes).
Examples
Input
2 2 1 1
Output
4774
Input
4 7 3 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 math import *
from fractions import *
from sys import *
def li():
return list(map(int, input().split(' ')))
a = li()
if abs(a[2] - a[3]) > 1:
print(-1)
exit()
if a[2] == a[3]:
ans = '47' * a[2] + '4'
elif a[2] > a[3]:
ans = '47' * a[2]
else:
ans = '74' * a[3]
f = a[0] - ans.count('4')
s = a[1] - ans.count('7')
shit = False
if s < 0 or f < 0:
if a[2] == a[3]:
ans = '74' * a[2] + '7'
shit = True
f = a[0] - ans.count('4')
s = a[1] - ans.count('7')
if s < 0 or f < 0:
ans = '-1'
elif s > 0 or f > 0:
s += 1
f += 1
if ans[:2] == '47':
if ans[-1] == '4':
ans = '4' * f + '7' + ans[2:-1] + '7' * (s - 1) + '4'
else:
ans = '4' * f + '7' + ans[2:] + '7' * (s - 1)
elif ans[-1] == '4':
ans = '7' + '4' * f + ans[2:-1] + '7' * (s - 1) + '4'
else:
ans = '7' + '4' * f + ans[2:] + '7' * (s - 1)
print(ans)
``` | vfc_143188 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/146/D",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1 10 1 2\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 1 3 1\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 7 2 1\n",
"output": "44474777777\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "1 4 1 1\n",
"output": "74777\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "45 65 31 32\n",
"output": "74444444444444474747474747474747474747474747474747474747474747474747474747477777777777777777777777777777777774\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/ARRFILL | Solve the following coding problem using the programming language python:
Read problem statements in [Bengali], [Mandarin Chinese], [Russian], and [Vietnamese] as well.
You are given an array A of size N. Initially, the array is filled with 0-s.
There are M types of operations that you can perform on array A. The i^{th} operation can be described by two integers (x_{i}, y_{i}). In this operation, you choose a set of indices S such that
1 ≤ j ≤ N,
(j \bmod y_{i}) \neq 0,
A_{j} = 0,
, then you set A_{j} = x_{i} for all j \in S.
You can perform the operations in any order, but one type of operation can't be done more than once. What is the maximum sum of integers of the array A you obtain if you perform the M operations optimally?
For example, consider the array A = [0, 0, 0, 0].
Suppose x = 3, y = 2. Here you can choose indices 1 and 3 and set A_{1} = A_{3} = 3. So the array A becomes [3, 0, 3, 0]. In this operation you can't choose the indices 2 and 4 because (2 \bmod 2) = 0, (4 \bmod 2) = 0.
Suppose x = 5, y = 3 and you set A_{2} = 5. So the array A becomes [3, 5, 3, 0]. Here you can't choose index 1 because A_{1} > 0 and index 3 because (3 \bmod 3) = 0 and A_{3} > 0. However, you could also set A_{4} = 5.
Suppose x = 4, y = 4. Now you can't choose any index because A_{j} > 0 for all 1 ≤ j ≤ 3 and (4 \bmod 4) = 0. So the array remains same.
Note: Since input-output is large, prefer using fast input-output methods.
------ Input Format ------
- The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows.
- Each testcase contains M + 1 lines of input.
- The first line of each test case contains two space-separated integers N, M.
- M lines follow. For each valid i, the i^{th} of these lines contains two space-separated integers x_{i}, y_{i} - parameters of the i^{th} operation.
------ Output Format ------
For each test case, output in a single line the maximum sum of integers of the array A after M operations.
------ Constraints ------
$1 ≤ T ≤ 12600$
$1 ≤ N ≤ 10^{9}$
$1 ≤ M ≤ 10^{5}$
$1 ≤ x_{i} ≤ 10^{9}$
$2 ≤ y_{i} ≤ 10^{9}$
- The sum of $M$ over all test cases does not exceed $10^{6}$.
------ subtasks ------
Subtask #1 (100 points): original constraints
----- Sample Input 1 ------
3
10 1
5 2
8 2
5 2
6 3
3 2
2 2
1 3
----- Sample Output 1 ------
25
41
5
----- explanation 1 ------
Test case $1$: Optimal filling is $[5, 0, 5, 0, 5, 0, 5, 0, 5, 0]$.
Test case $2$: Optimal filling is $[6, 6, 5, 6, 6, 0, 6, 6]$.
Test case $3$: Optimal filling is $[2, 1, 2]$.
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 b:
(a, b) = (b, a % b)
return a
def lcm(a, b):
return a * b // gcd(a, b)
for t in range(int(input())):
(n, m) = map(int, input().split())
operations = [list(map(int, input().split())) for i in range(m)]
operations.sort(key=lambda x: x[0], reverse=True)
ans = 0
running_lcm = 1
empty_spots = n
for (x, y) in operations:
running_lcm = lcm(running_lcm, y)
ans += (empty_spots - n // running_lcm) * x
empty_spots -= empty_spots - n // running_lcm
if not empty_spots:
break
print(ans)
``` | vfc_143192 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/ARRFILL",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n10 1\n5 2\n8 2\n5 2\n6 3\n3 2\n2 2\n1 3",
"output": "25\n41\n5",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.hackerrank.com/challenges/the-story-of-a-tree/problem | Solve the following coding problem using the programming language python:
One day Bob drew a tree, $\mathbf{T}$, with $n$ nodes and $n-1$ edges on a piece of paper. He soon discovered that parent of a node depends on the root of the tree. The following images shows an example of that:
Learning the fact, Bob invented an exciting new game and decided to play it with Alice. The rules of the game is described below:
Bob picks a random node to be the tree's root and keeps the identity of the chosen node a secret from Alice. Each node has an equal probability of being picked as the root.
Alice then makes a list of $\mathrm{~g~}$ guesses, where each guess is in the form u v and means Alice guesses that $parent(v)=u$ is true. It's guaranteed that an undirected edge connecting $\mbox{u}$ and $\boldsymbol{\nu}$ exists in the tree.
For each correct guess, Alice earns one point. Alice wins the game if she earns at least $\boldsymbol{\mbox{k}}$ points (i.e., at least $\boldsymbol{\mbox{k}}$ of her guesses were true).
Alice and Bob play $\textit{q}$ games. Given the tree, Alice's guesses, and the value of $\boldsymbol{\mbox{k}}$ for each game, find the probability that Alice will win the game and print it on a new line as a reduced fraction in the format p/q.
Input Format
The first line contains an integer, $\textit{q}$, denoting the number of different games. The subsequent lines describe each game in the following format:
The first line contains an integer, $n$, denoting the number of nodes in the tree.
The $n-1$ subsequent lines contain two space-separated integers, $\mbox{u}$ and $\boldsymbol{\nu}$, defining an undirected edge between nodes $\mbox{u}$ and $\boldsymbol{\nu}$.
The next line contains two space-separated integers describing the respective values of $\mathrm{~g~}$ (the number of guesses) and $\boldsymbol{\mbox{k}}$ (the minimum score needed to win).
Each of the $\mathrm{~g~}$ subsequent lines contains two space-separated integers, $\mbox{u}$ and $\boldsymbol{\nu}$, indicating Alice guesses $parent(v)=u$.
Constraints
$1\leq q\leq5$
$1\leq n\leq10^5$
$1\leq u,v\leq n$
$1\leq g,k\leq10^5$
The sum of $n$ over all test cases won't exceed $2\times10^5$.
No two guesses will be identical.
Scoring
For $25\%$ of the maximum score, $1\leq n\leq10^3$.
For $100\%$ of the maximum score, $1\leq n\leq10^5$.
Output Format
Print the probability as a reduced fraction in the format p/q.
Note: Print 0/1 if the probability is $\mbox{0}$ and print 1/1 if the probability is $\mbox{1}$.
Sample Input 0
2
4
1 2
1 3
3 4
2 2
1 2
3 4
3
1 2
1 3
2 2
1 2
1 3
Sample Output 0
1/2
1/3
Explanation 0
Alice and Bob play the following $g=2$ games:
Alice makes two guesses, $\left(1\quad2\right)$ and $\left(3\quad4\right)$ , meaning she guessed that $parent(2)=1$ and $parent(4)=3$. To win the game, at least $k=2$ of her guesses must be true.
In the diagrams below, you can see that at least $2$ guesses are true if the root of the tree is either node $\mbox{1}$ or $3$:
There are $4$ nodes in total and the probability of picking node $\mbox{1}$ or $3$ as the root is $\frac{2}{4}$, which reduces to $\frac{1}{2}$.
In this game, Alice only wins if node $\mbox{1}$ is the root of the tree. There are $3$ nodes in total, and the probability of picking node $\mbox{1}$ as the root is $\frac{1}{3}$.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
import sys
adj = []
p = []
def dfs(v, par):
ret = 0
for u in p[v]:
ret += +1 if par == u else 0
for u in adj[v]:
if u != par:
ret += dfs(u, v)
return ret
def dfs2(v, par, cur, lim):
if par != -1:
for u in p[par]:
if u == v:
cur += 1
for u in p[v]:
if u == par:
cur -= 1
ret = cur >= lim
for u in adj[v]:
if u != par:
ret += dfs2(u, v, cur, lim)
return ret
def gcd(a, b):
return gcd(b % a, a) if a > 0 else b
q = int(input().strip())
for a0 in range(q):
n = int(input().strip())
adj = [[] for _ in range(n)]
p = [[] for _ in range(n)]
for a1 in range(n - 1):
(u, v) = input().strip().split(' ')
(u, v) = [int(u), int(v)]
u -= 1
v -= 1
adj[u].append(v)
adj[v].append(u)
(g, k) = input().strip().split(' ')
(g, k) = [int(g), int(k)]
for a1 in range(g):
(u, v) = input().strip().split(' ')
(u, v) = [int(u), int(v)]
u -= 1
v -= 1
p[v].append(u)
cur = dfs(0, -1)
ans = dfs2(0, -1, cur, k)
d = gcd(ans, n)
ans = ans // d
n = n // d
print('%d/%d' % (ans, n))
``` | vfc_143196 | {
"difficulty": "medium",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/the-story-of-a-tree/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n4\n1 2\n1 3\n3 4\n2 2\n1 2\n3 4\n3\n1 2\n1 3\n2 2\n1 2\n1 3\n",
"output": "1/2\n1/3\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.hackerrank.com/challenges/strange-code/problem | Solve the following coding problem using the programming language python:
There is a strange counter. At the first second, it displays the number $3$. Each second, the number displayed by decrements by $\mbox{1}$ until it reaches $\mbox{1}$. In next second, the timer resets to $2\times\textbf{the initial number for the prior cycle}$ and continues counting down. The diagram below shows the counter values for each time $\boldsymbol{\boldsymbol{t}}$ in the first three cycles:
Find and print the value displayed by the counter at time $\boldsymbol{\boldsymbol{t}}$.
Function Description
Complete the strangeCounter function in the editor below.
strangeCounter has the following parameter(s):
int t: an integer
Returns
int: the value displayed at time $\boldsymbol{\boldsymbol{t}}$
Input Format
A single integer, the value of $\boldsymbol{\boldsymbol{t}}$.
Constraints
$1\leq t\leq10^{12}$
Subtask
$1\leq t\leq10^5$ for $60\%$ of the maximum score.
Sample Input
4
Sample Output
6
Explanation
Time $t=4$ marks the beginning of the second cycle. It is double the number displayed at the beginning of the first cycle:$2\times3=6$. This is shown in the diagram in the problem statement.
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())
t1 = 3
while t1 < t:
t -= t1
t1 *= 2
print(t1 - t + 1)
``` | vfc_143201 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.hackerrank.com/challenges/strange-code/problem",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n",
"output": "6\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/ARYS2020/problems/FREQARRY | Solve the following coding problem using the programming language python:
A beautiful sequence is defined as a sequence that do not have any repeating elements in it.
You will be given any random sequence of integers, and you have to tell whether it is a beautiful sequence or not.
-----Input:-----
- The first line of the input contains a single integer $T$. $T$ denoting the number of test cases. The description of $T$ test cases is as follows.
- The next line of the input contains a single integer $N$. $N$ denotes the total number of elements in the sequence.
- The next line of the input contains $N$ space-separated integers $A1, A2, A3...An$ denoting the sequence.
-----Output:-----
- Print "prekrasnyy"(without quotes) if the given sequence is a beautiful sequence, else print "ne krasivo"(without quotes)
Note: each test case output must be printed on new line
-----Constraints:-----
- $1 \leq T \leq 10^2$
- $1 \leq N \leq 10^3$
- $1 \leq A1, A2, A3...An \leq 10^5$
-----Sample Input:-----
2
4
1 2 3 4
6
1 2 3 5 1 4
-----Sample Output:-----
prekrasnyy
ne krasivo
-----Explanation:-----
-
As 1st sequence do not have any elements repeating, hence it is a beautiful sequence
-
As in 2nd sequence the element 1 is repeated twice, hence it is not a beautiful sequence
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()))
l = []
for i in range(0, len(arr)):
for j in range(i + 1, len(arr)):
if arr[i] == arr[j]:
l.append(arr[j])
if len(l) == 0:
print('prekrasnyy')
else:
print('ne krasivo')
``` | vfc_143205 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/ARYS2020/problems/FREQARRY",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n4\n1 2 3 4\n6\n1 2 3 5 1 4\n",
"output": "prekrasnyy\nne krasivo\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/MAXSPSUM | Solve the following coding problem using the programming language python:
Given an array of size N$N$ and two integers K$K$ and S$S$, the special sum of a subarray is defined as follows:
(Sum of all elements of the subarray) * (K$K$ - p$p$ * S$S$)
Where p$p$ = number of distinct prime factors of “product of all elements of the subarray”.
Find the maximum special sum by considering all non-empty subarrays of the given array.
-----Input-----
- First line contains 3 integers N$N$, K$K$ and S$S$.
- Second line contains N$N$ integers, the elements of the array.
-----Output-----
Output a single integer. The maximum special sum considering all non-empty subarrays of the array.
-----Constraints:-----
- 1≤N,K,S≤105$ 1 \leq N, K, S \leq 10^5 $
- 0≤K/S≤20$ 0 \leq K / S \leq 20 $
- 1<$ 1 < $ Any element of array <105$ < 10^5 $
-----Sample Input-----
4 10 2
14 2 7 15
-----Sample Output-----
138
-----Sample Explanation-----
Consider the subarray {14, 2, 7}
Total number of distinct prime factors in it is 2 (2 and 7).
Therefore, value of special sum is (14 + 2 + 7) * (10 - 2 * 2) = 138.
This is the subarray with the maximum special sum.
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 floor, sqrt
try:
long
except NameError:
long = int
def fac(n):
(step, maxq, d) = (lambda x: 1 + (x << 2) - (x >> 1 << 1), long(floor(sqrt(n))), 1)
q = n % 2 == 0 and 2 or 3
while q <= maxq and n % q != 0:
q = step(d)
d += 1
return q <= maxq and [q] + fac(n // q) or [n]
(n, k, s) = map(int, input().split())
(a, di, l, m, ans, su) = (list(map(int, input().split())), {}, [], 0, 0, 0)
for i in a:
(bb, su) = (list(set(fac(i))), su + i)
for j in bb:
try:
di[j] += 1
except KeyError:
(m, di[j]) = (m + 1, 1)
l.append(su * (k - m * s))
if su * (k - m * s) < 0:
(m, di, su) = (0, {}, 0)
print(max(l))
``` | vfc_143210 | {
"difficulty": "very_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/MAXSPSUM",
"time_limit": "3 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4 10 2\n14 2 7 15\n",
"output": "138\nSample\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1476/D | Solve the following coding problem using the programming language python:
There are $n + 1$ cities, numbered from $0$ to $n$. $n$ roads connect these cities, the $i$-th road connects cities $i - 1$ and $i$ ($i \in [1, n]$).
Each road has a direction. The directions are given by a string of $n$ characters such that each character is either L or R. If the $i$-th character is L, it means that the $i$-th road initially goes from the city $i$ to the city $i - 1$; otherwise it goes from the city $i - 1$ to the city $i$.
A traveler would like to visit as many cities of this country as possible. Initially, they will choose some city to start their journey from. Each day, the traveler must go from the city where they currently are to a neighboring city using one of the roads, and they can go along a road only if it is directed in the same direction they are going; i. e., if a road is directed from city $i$ to the city $i + 1$, it is possible to travel from $i$ to $i + 1$, but not from $i + 1$ to $i$. After the traveler moves to a neighboring city, all roads change their directions to the opposite ones. If the traveler cannot go from their current city to a neighboring city, their journey ends; it is also possible to end the journey whenever the traveler wants to.
The goal of the traveler is to visit as many different cities as possible (they can visit a city multiple times, but only the first visit is counted). For each city $i$, calculate the maximum number of different cities the traveler can visit during exactly one journey if they start in the city $i$.
-----Input-----
The first line contains one integer $t$ ($1 \le t \le 10^4$) — the number of test cases.
Each test case consists of two lines. The first line contains one integer $n$ ($1 \le n \le 3 \cdot 10^5$). The second line contains the string $s$ consisting of exactly $n$ characters, each character is either L or R.
It is guaranteed that the sum of $n$ over all test cases does not exceed $3 \cdot 10^5$.
-----Output-----
For each test case, print $n + 1$ integers. The $i$-th integer should be equal to the maximum number of different cities the traveler can visit during one journey if this journey starts in the $i$-th city.
-----Examples-----
Input
2
6
LRRRLL
3
LRL
Output
1 3 2 3 1 3 2
1 4 1 4
-----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 os
import sys
from io import BytesIO, IOBase
import threading
from bisect import bisect_left
from math import gcd, log, ceil
from collections import Counter
from pprint import pprint
def main():
n = int(input())
s = input()
bl = [0] * (n + 1)
br = [0] * (n + 1)
if s[0] == 'L':
bl[1] = 1
for i in range(2, n + 1):
if s[i - 1] == 'L':
if s[i - 2] == 'R':
bl[i] = 2 + bl[i - 2]
else:
bl[i] = 1
if s[n - 1] == 'R':
br[n - 1] = 1
for i in range(n - 2, -1, -1):
if s[i] == 'R':
if s[i + 1] == 'L':
br[i] = 2 + br[i + 2]
else:
br[i] = 1
ans = [0] * (n + 1)
for i in range(n + 1):
ans[i] = bl[i] + br[i] + 1
print(*ans)
BUFSIZE = 8192
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')
for _ in range(int(input())):
main()
``` | vfc_143214 | {
"difficulty": "medium_hard",
"memory_limit": "512 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1476/D",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n6\nLRRRLL\n3\nLRL\n",
"output": "1 3 2 3 1 3 2\n1 4 1 4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/JULY16/problems/CHSGMNTS | Solve the following coding problem using the programming language python:
Chef has an array A consisting of N elements. He wants to find number of pairs of non-intersecting segments [a, b] and [c, d] (1 ≤ a ≤ b < c ≤ d ≤ N) such there is no number that occurs in the subarray {Aa, Aa+1, ... , Ab} and {Ac, Ac+1, ... , Ad} simultaneously.
Help Chef to find this number.
-----Input-----
- The first line of the input contains an 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 denoting the number of elements in the array.
- The second line contains N space-separated integers A1, A2, ..., AN.
-----Output-----
- For each test case, output a single line containing one integer - number of pairs of non-intersecting segments.
-----Constraints-----
- 1 ≤ T ≤ 5
- 1 ≤ N ≤ 1000
- 1 ≤ Ai ≤ 109
-----Subtasks-----Subtask 1 (7 points)
- 1 ≤ N ≤ 20Subtask 2 (34 points)
- 1 ≤ N ≤ 300Subtask 3 (59 points)
- Original constraints
-----Example-----
Input:
2
3
1 2 3
4
1 2 1 2
Output:
5
4
-----Explanation-----
Example case 1.
All possible variants are correct: {[1, 1], [2, 2]}, {[1, 1], [2, 3]}, {[1, 2], [3, 3]}, {[2, 2], [3, 3]}, {[1,1], [3, 3]}.
Example case 2.
Correct segments: {[1, 1], [2, 2]}, {[1, 1], [4, 4]}, {[2, 2], [3, 3]}, {[3, 3], [4, 4]}.
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 q in range(t):
n = int(input())
x = list(map(int, input().split()))
dic = {}
dic2 = {}
for i in range(n):
dic2[x[i]] = 1
if len(dic2) == n:
n += 2
print(n * (n - 1) * (n - 2) * (n - 3) / 24)
continue
counter = 0
for i in range(n - 1):
if x[i] in dic:
dic[x[i]] += 1
else:
dic[x[i]] = 1
for j in range(i, n - 1):
if x[j] in dic:
dic[x[j]] += 1
else:
dic[x[j]] = 1
for p in range(j + 1, n):
if x[p] in dic:
continue
for q in range(p, n):
if x[q] in dic:
break
counter += 1
dic.clear()
print(counter)
``` | vfc_143218 | {
"difficulty": "unknown_difficulty",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/JULY16/problems/CHSGMNTS",
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "2\n3\n1 2 3\n4\n1 2 1 2\n",
"output": "5\n4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://codeforces.com/problemset/problem/1506/E | Solve the following coding problem using the programming language python:
A permutation is a sequence of $n$ integers from $1$ to $n$, in which all numbers occur exactly once. For example, $[1]$, $[3, 5, 2, 1, 4]$, $[1, 3, 2]$ are permutations, and $[2, 3, 2]$, $[4, 3, 1]$, $[0]$ are not.
Polycarp was presented with a permutation $p$ of numbers from $1$ to $n$. However, when Polycarp came home, he noticed that in his pocket, the permutation $p$ had turned into an array $q$ according to the following rule:
$q_i = \max(p_1, p_2, \ldots, p_i)$.
Now Polycarp wondered what lexicographically minimal and lexicographically maximal permutations could be presented to him.
An array $a$ of length $n$ is lexicographically smaller than an array $b$ of length $n$ if there is an index $i$ ($1 \le i \le n$) such that the first $i-1$ elements of arrays $a$ and $b$ are the same, and the $i$-th element of the array $a$ is less than the $i$-th element of the array $b$. For example, the array $a=[1, 3, 2, 3]$ is lexicographically smaller than the array $b=[1, 3, 4, 2]$.
For example, if $n=7$ and $p=[3, 2, 4, 1, 7, 5, 6]$, then $q=[3, 3, 4, 4, 7, 7, 7]$ and the following permutations could have been as $p$ initially:
$[3, 1, 4, 2, 7, 5, 6]$ (lexicographically minimal permutation);
$[3, 1, 4, 2, 7, 6, 5]$;
$[3, 2, 4, 1, 7, 5, 6]$;
$[3, 2, 4, 1, 7, 6, 5]$ (lexicographically maximum permutation).
For a given array $q$, find the lexicographically minimal and lexicographically maximal permutations that could have been originally presented to Polycarp.
-----Input-----
The first line contains one integer $t$ ($1 \le t \le 10^4$). Then $t$ test cases follow.
The first line of each test case contains one integer $n$ ($1 \le n \le 2 \cdot 10^5$).
The second line of each test case contains $n$ integers $q_1, q_2, \ldots, q_n$ ($1 \le q_i \le n$).
It is guaranteed that the array $q$ was obtained by applying the rule from the statement to some permutation $p$.
It is guaranteed that the sum of $n$ over all test cases does not exceed $2 \cdot 10^5$.
-----Output-----
For each test case, output two lines:
on the first line output $n$ integers — lexicographically minimal permutation that could have been originally presented to Polycarp;
on the second line print $n$ integers — lexicographically maximal permutation that could have been originally presented to Polycarp;
-----Examples-----
Input
4
7
3 3 4 4 7 7 7
4
1 2 3 4
7
3 4 5 5 5 7 7
1
1
Output
3 1 4 2 7 5 6
3 2 4 1 7 6 5
1 2 3 4
1 2 3 4
3 4 5 1 2 7 6
3 4 5 2 1 7 6
1
1
-----Note-----
None
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 deque
t = int(input())
for i in range(t):
och = deque()
n = int(input())
d = list(map(int, input().split()))
pos = 0
ans = []
for j in d:
if j > pos:
ans.append(j)
for k in range(pos + 1, j):
och.append(k)
else:
ans.append(och.popleft())
pos = j
print(*ans)
pos = 0
ans = []
for j in d:
if j > pos:
ans.append(j)
for k in range(pos + 1, j):
och.append(k)
else:
ans.append(och.pop())
pos = j
print(*ans)
``` | vfc_143222 | {
"difficulty": "medium",
"memory_limit": "256 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/1506/E",
"time_limit": "2 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "4\n7\n3 3 4 4 7 7 7\n4\n1 2 3 4\n7\n3 4 5 5 5 7 7\n1\n1\n",
"output": "3 1 4 2 7 5 6 \n3 2 4 1 7 6 5 \n1 2 3 4 \n1 2 3 4 \n3 4 5 1 2 7 6 \n3 4 5 2 1 7 6 \n1 \n1 \n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n7\n3 3 4 4 7 7 7\n4\n1 2 3 4\n7\n3 4 5 5 5 6 7\n1\n1\n",
"output": "3 1 4 2 7 5 6\n3 2 4 1 7 6 5\n1 2 3 4\n1 2 3 4\n3 4 5 1 2 6 7\n3 4 5 2 1 6 7\n1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n7\n3 3 4 4 7 7 7\n4\n1 2 3 4\n7\n2 4 5 5 5 7 7\n1\n1\n",
"output": "3 1 4 2 7 5 6\n3 2 4 1 7 6 5\n1 2 3 4\n1 2 3 4\n2 4 5 1 3 7 6\n2 4 5 3 1 7 6\n1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n7\n3 3 4 4 7 7 7\n4\n1 2 4 4\n7\n3 4 5 5 5 7 7\n1\n1\n",
"output": "3 1 4 2 7 5 6\n3 2 4 1 7 6 5\n1 2 4 3\n1 2 4 3\n3 4 5 1 2 7 6\n3 4 5 2 1 7 6\n1\n1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4\n7\n3 3 4 4 7 7 7\n4\n2 2 4 4\n7\n3 4 5 5 5 7 7\n1\n1\n",
"output": "3 1 4 2 7 5 6\n3 2 4 1 7 6 5\n2 1 4 3\n2 1 4 3\n3 4 5 1 2 7 6\n3 4 5 2 1 7 6\n1\n1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | https://www.codechef.com/problems/CONVSTR | Solve the following coding problem using the programming language python:
Vivek was quite bored with the lockdown, so he came up with an interesting task. He successfully completed this task and now, he would like you to solve it.
You are given two strings $A$ and $B$, each with length $N$. Let's index the characters in each string from $0$ ― for each $i$ ($0 \le i < N$), the $i+1$-th characters of $A$ and $B$ are denoted by $A_i$ and $B_i$ respectively. You should convert $A$ to $B$ by performing operations of the following type:
- Choose a subset $S$ of the set $\{0, 1, \ldots, N-1\}$.
- Let $c$ be the alphabetically smallest character among $A_x$ for all $x \in S$.
- For each $x \in S$, replace $A_x$ by $c$.
You should find the smallest necessary number of operations or report that it is impossible to convert $A$ to $B$. If it is possible, you also need to find one way to convert $A$ to $B$ using this smallest number of operations. If there are multiple solutions, you may find any one.
-----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 a single string $A$.
- The third line contains a single string $B$.
-----Output-----
For each test case:
- If it is impossible to convert $A$ to $B$, print a single line containing the integer $-1$.
- Otherwise, first, print a line containing a single integer $K$ ― the minimum number of operations.
- Then, print $K$ lines describing the operations. Each of these lines should contain a positive integer $Z$, followed by a space and $Z$ pairwise distinct space-separated integers from the set $\{0, 1, \ldots, N-1\}$ ― the elements of $S$.
-----Constraints-----
- $1 \le T \le 20$
- $1 \le N \le 10^3$
- $|A| = |B| = N$
- $A$ and $B$ contain only lowercase English letters
-----Subtasks-----
Subtask #1 (30 points): $B$ contains only characters 'a' and 'b'
Subtask #2 (70 points): original constraints
-----Example Input-----
3
5
abcab
aabab
3
aaa
aab
2
de
cd
-----Example Output-----
2
3 1 2 4
3 0 1 3
-1
-1
-----Explanation-----
Example case 1:
- First, we can choose $S = (1, 2, 4)$, so the character $c$ is 'b' and the string $A$ after this operation is "abbab".
- Then, we choose $S = (0, 1, 3)$, so $c$ is 'a', and $A$ becomes "aabab".
- There is no way to convert $A$ to $B$ in only one operation.
Example case 2: We can see that it is impossible to convert $A$ to $B$ since $c$ is always 'a'.
Example case 3: We can see again that it is impossible to convert $A$ to $B$ since $c$ cannot be 'c'.
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())
c_str = str(input())
target_str = str(input())
no_match = False
for i in range(N):
if c_str[i] < target_str[i]:
no_match = True
break
if target_str[i] not in c_str:
no_match = True
break
if no_match:
print(-1)
else:
indices = {char: index for (index, char) in enumerate(c_str)}
m_match = {}
for i in range(N):
if c_str[i] != target_str[i]:
if m_match.get(target_str[i]):
m_match[target_str[i]].append(str(i))
else:
m_match[target_str[i]] = [str(i)]
print(len(m_match))
for i in sorted(m_match.keys(), reverse=True):
print(len(m_match[i]) + 1, ' '.join(m_match[i]), indices[i])
``` | vfc_143227 | {
"difficulty": "medium_hard",
"memory_limit": "50000 bytes",
"memory_limit_bytes": null,
"problem_url": "https://www.codechef.com/problems/CONVSTR",
"time_limit": "1 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "3\n5\nabcab\naabab\n3\naaa\naab\n2\nde\ncd\n",
"output": "2\n3 1 2 4\n3 0 1 3\n-1\n-1\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
There are N people in a group. The personality of each person is denoted by A[i] from the set A, where A[i] denotes the personality of the ith person.
Your task is to find the total persons of different personalities.
INPUT:
First line contains the total number of test cases T, for each test cases, first line denotes the total number of persons N and second line contains list of N space separated integers denoting the personality of the person.
OUTPUT:
For each test case, print the result in a single line.
Constraints:
1 ≤ T ≤ 100
1 ≤ N ≤ 100000
1 ≤ A[i] ≤ 1000000000
SAMPLE INPUT
1
5
1 2 3 4 5
SAMPLE OUTPUT
5
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())
i=0
while i < t:
n=int(input())
array=list(map(int, input().split()))
array.sort()
j=0
count=n
while j < n-1:
if array[j+1]==array[j]:
count=count-1
j=j+1
print(count)
i=i+1
``` | vfc_143233 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1\n5\n1 2 3 4 5",
"output": "5",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "8\n793\n2009 6911 389 7025 9959 8936 8403 8938 1880 9148 3371 4343 2392 8483 3887 7041 7635 4131 5576 322 7408 3259 1246 2756 9961 2188 2600 3043 6275 1575 4759 2102 8021 7384 8409 5289 9573 7635 1215 9059 1453 7111 7928 4063 2195 74 1434 1793 162 843 6189 6248 9395 7704 7192 4128 4723 3737 1715 6234 6705 8729 1415 6807 1769 8438 7636 8389 7732 3320 5890 7672 8463 965 8219 5687 2984 7738 9728 7766 997 172 6362 8852 4202 2843 7685 6555 8805 2298 2098 5060 5005 3460 363 4424 6391 5650 7891 5186 9531 1559 5551 9789 3944 7332 8463 7011 6286 7659 7535 2290 4438 2222 5831 533 5349 2660 1050 4678 5804 5641 6298 1841 7427 4110 4826 2662 1928 3532 7666 7340 8610 1723 4480 5802 8365 2041 2911 3855 937 9786 1823 3913 2600 1626 2908 379 2600 9455 8161 6981 8162 995 373 5542 4663 6963 3403 8737 5494 5208 5970 6544 7293 6153 518 3206 8041 4080 9048 8369 9943 5644 6784 1274 90 7878 2244 3834 8806 1099 7935 1876 6187 7594 76 8961 7683 5006 3782 8931 649 9314 7757 2658 4485 1718 2323 7197 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8154 4689 4289 7298 3720 839 8104 1421 9848 4854 5460 697 8461 565 6929 581 979 7717 3389 3247 6631 7995 1822 1755 1573 3800 7754 6110 9329 2886 6230 5121 3000 5062 3524 9099 1656 6497 4482 8969 2189 3791 8457 7017 5983 5504 8712 6931 4236 8650 9991 4010 3513 4246 2348 2459 3918 293 251 941 8035 8483 8614 8344 515 7388 4204 2946 1317 9691 6890 4415 4758 9309 6737 6080 9268 9195 9739 180 15 7349 1438 1023 520 5712 7030 8306 1610 1031 9377 5038 3189 6237 8542 1779 9699 7384 2775 7072 3859 111 7513 9957 4569 4111 9953 3490 1677 2411 897 6853 2714 3579 7234 6498 8876 3132 9549 3932 8355 4753 9757 320 6511 4349 3491 2282 2696 1453 3753 2250 3771 406 3968 8272 7253 5216 9892 1731 3486 4633 8600 3590 4371 7762 8949 4041 7405 5959 259 4631 1240 2840 8151 6890 260 6892 2761 9009 3074 5337 2383 244 294 4923 7549 9577 9469 4313 2865 7733 6117 5017 4673 9663 1693 3451 7060 9804 5733 1973 8750 7685 8214 7996 1535 1704 1059 8546 7737 1093 1200 1345 7959 7768 602 6925 1383 4704 8264 7651 1777 2010 9528 9953 8013 6401 8991 6836 1889 2433 6450 8422 8047 3330 1043 9798 5204 1737 6127 5796 9286 7626 1432 8018 4823 5067 7588 8668 2077 8977 5858 1953 6002 9101 472 9001 5787 5525 3493 4561 782 1491 610 3068 4027 1219 735 8104 3326 5577 7931 1790 3939 4100 8238 2650 8417 6319 3361 7910 5076 6446 5802 5708 1138 7907 6417 3626 2184 9839 7446 27 1065 3115 554 1308 9897 697 7367 6805 439 4410 7991 7699 847 3987 1816 8687 5504 6011 6582 359 7232 3876 9983 7324 2258 5338 915 7287 2947 2601 3110 4548 2444 3227 4321 8057 3312 3552 8058 3603 8250 6388 1287 2113 6202 9151 2598 1552 133 9852 2406 3543 6113 8888 8262 4194 9788 9020 561 4463 5075 6150 3657 5314 7855 6077 7225 7010 6959 1531 8996 7730 5007 5247 8999 2802 5204 8334 9065 285 1529 891 4117 4645 6273 2907 9108 144 3000 9056 3841 6442 7409 2346 8122 9415 6237 1707 468 3158 2027 1206 2832 7270 1898 4238 1284 9730 142 8807 4372 8979 5793 8399 2855 5337 440 1073 8371 8698 9107 100 9946 4821 8571 523 5878 239 1599 5429 9126 1565 9468 1025 1995 2044 2699 8150 2724 4433 3918 585 2989 960 3837 5003 7033 6382 6443 5233 4567 993 1491 6429 684 5795 7354 6247 5869 435 1095 1474 2028 2146 3636 3343 901 8104 2045 5024 7586 8019 7986 6525 7966 8030 942 5718 561 8656 6173 9438 8138 9047 5923 5786 8796 219 9530 8158 6620 3376 2796 8927 9841 2942 438 727 3017 7634 804 3710 2758 9391 9256 8996 8078 4551 7180 6089 9083 4998 5440 3440 3528 6111 4292 3861 1757 6129 1881 3093 115 3894 3362 5117 9656 7657 5061 6882 3201 4248 9961 9299 2675 2824 1016 4028 1659 5919 734 5117 3819 1359 6406 673 5588 5177 8004 8365 1670 4041 9644 1217 5383 7036 5920 8477 8944 4872 3877 4178 2611 9879 9637 5186 1795 1128 3619 3600 4419 8032 9374 5363 3356 6056 341 618 1278 5255 5884 2603 1551 9661 2477 108 6786 2083 2480 1278 6625 955 1315 2025 8457 5647 8002 1613 9804 8398 9021 3377 1235 5116 141 9615 944 9928 8805 7004 9455 3926 5050 8316 2851 3791 8709 8948 3956 703 5155 2114 4835 9513 5928 7495 3773 3271 8182 9135 1665 7756 3219 2346 6958 6086 4947 8861 4322 9388 814 3819 5590 6322 4732 2982 8653 5292 2568 1409 4702 5144 5506 6269 5973 9649 2026 6449 9126 4112 1374 1314 1561 1568 8520 9767 5301 2805 6806 3073 6988 5847 3651 286 4736 8922 8929 2088 4456 9587 1962 4552 7409 9078 5468 5477 7124 9888 99 1411 9161 6 1349 4440 2456 4733 2703 8520 5524 5084 9002 2932 2379 5644 9045 2099 8956 344 7493 6847 8438 3754 4861 3299 9198 8215 8373 4643 4846 9197 6754 4706 4066 383 224 6914 6573 1846 8641 7286 4367 6889 6590 4782 6101 4337 3228 6171 6222 9769 7675 9947 3832 8952 7017 4196 5304 7977 6907 3351 5395 4229 2904 9529 5188 2848 6079 9056 563 7659 1452 47 190 5602 934 688 8739 1341 4621 4890 9531 3588 9889 265 462 3097 1130 4488 7937 9567 5100 2151 5396 1090 5210 3962 56 6970 1222 7863 167 801 8503 6962 6906 28 9679 4331 971 5511 4066 8131 5387 1349 188 4372 5198 8566 1104 6066 3700 9044 1696 784 7918 3380 2760 3348 6136 391 8068 5966 5676 7376 6571 9676 998 8453 4692 7490 2019 8653 1447 7263 2660 8097 1953 5454 2609 8786 2282 2761 707 8139 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1753 6802 5510 3251 7418 5400 9205 5334 2269 2482 2417 1078 6028 8177 5001 7347 1075 8165 3637 8870 1960 7988 9139 993 3739 240 6044 8546 7135 9706 6850 356 4016 3714 8924 4967 2842 1344 7992 5104 4410 1164 4735 2357 6844 9194 311 6359 387 9312 2204 5414 1285 5982 9549 7445 8722 8405 414 4434 3959 6961 7908 8901 2800 6798 2338 3834 323 8612 8750 5951 6011 7289 1022 1856 4184 2318 5579 8155 1588 9762 4806 7346 8212 6027 8509 4280 8880 6966 9248 3618 5833 2224 3990 6326 809 6277 5715 4608 1861 9262 1112 5419 2427 7956 8526 9478 554 1747 5158 8812 5752 7489 7719 4765 4945 4134 8539 9723 4932 7489 2019 5275 4140 1793 5200 6794 1742 880 8109 190 278 5253 7484 2033 7214 4695 6983 1073 1898 7381 9488 239 1727 7614 1372 9 1104 9805 7900 381 6202 7233 7581 7065 8331 7672 6664 1430 8415 5859 2005 6148 540 456 2566 4485 7504 4335 649 8637 5531 8951 2353 6591 1226 5172 5264 7506 8236 1308 329 1053 6060 4341 9365 6805 4495 4236 957 3098 7437 4735 4732 5187 2981 2660 4386 7826 8517 7491 6563 9112 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"output": "766\n3662\n2437\n5256\n5801\n4915\n4020\n2831",
"type": "stdin_stdout"
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560 7656 8677 3790 2298 7708 608 7559 1919 1353 6075 293 5875 5761 4199 9566 9464 1934 9466 8409 9585 7917 7723 2909 8621 8496 6864 4199 1621 4473 791 7690 1392 2018 1619 8224 1563 2687 9180 2102 2424 2084 9372 2323 3152 1599 9989 8236 4204 7407 1310 7907 6960 2392 5922 5307 8790 183 4764 9007 2001 6089 1035 7012 2260 6729 4263 3088 7170 6130 2554 1647 1281 9961 7597 9248 5064 1289 7795 9 1198 6793 6728 6363 7222 1100 8365 3343 2392 8192 5529 5516 5981 8773 3411 655 5335 4834 9265 5975 7486 8337 7282 8619 2437 6331 9479 9971 7262 1270 5928 5412 2621 2502 5026 7811 8802 7756 6942 9952 1251 144 1643 5229 9830 231 2394 669 1811 5831 6777 7379 9246 9487 5891 8265 866 6730 8859 7946 2478 2442 1816 4670 4719 3458 6771 452 9224 6570 8442 3247 3590 6756 9082 8507 2263 1891 6293 2177 8497 6102 4510 3168 8520 6557 149 7131 6820 8284 7214 5840 1701 65 5386 2320 6798 5148 9747 9434 6713 6761 2890 4158 1186 2403 633 6359 6443 6017 5287 6928 9816 8819 755 2863 5847 306 162 2023 1073 4727 5074 9019 6155 2270 7061 5455 1952 3789 9123 3896 6310 6387 2297 2267 8190 4874 8409 3287 9640 591 946 7950 1259 3368 1444 7504 9373 4346 9914 7995 3674 1084 2783 1039 3030 2437 5350 7132 7466 6953 1185 1090 25 4364 7863 9521 434 3593 7031 8991 4263 1221 716 6096 9556 5833 176 8750 1543 6692 5194 3756 6232 1069 7734 6995 4354 361 6802 4568 5942 2312 6038 2678 7518 7707 5844 712 394 8825 8163 5940 5083 5345 6489 6906 7066 2328 322 1727 7247 8178 3957 4299 9090 6632 6131 893 1903 2051 8468 6099 6524 1035 4823 4924 2572 5181 4390 7570 9435 5594 1281 1156 3485 9510 5245 6995 9067 3161 1886 9366 8881 4018 7654 907 7581 1331 5115 2610 9670 1163 9117 1915 2995 8501 8220 6815 2503 1059 602 4759 5896 122 9115 224 4295 1254 3342 8468 9261 9561 8944 531 3769 3000 850 6350 2209 6316 2731 3879 4924 6892 2636 4377 7457 3918 9198 7790 6805 915 4544 4872 4345 2853 702 7254 7912 3891 3809 9042 6840 9987 8811 7773 8307 52 6091 2685 634 3432 1904 4307 4198 7472 7741 8882 3107 7231 2354 5993 9829 6774 6321 2768 4904 5634 6117 8329 7561 1784 4063 2137 9704 2988 9722 9024 1864 7978 7675 1122 5997 8297 461 3098 6817 4493 5787 3755 5807 4511 1132 3520 916 2002 6110 1421 8089 5377 9364 5661 9499 5338 4674 8827 9565 4345 1305 8971 408 5970 1189 9557 4017 6676 6709 5506 2873 2430 5431 148 9632 9745 4385 9419 668 66 7947 6540 7696 9344 3803 3771 7507 4055 9682 7313 212 1723 7928 4449 7400 7958 75 1373 7063 580 8086 4110 9720 9009 9293 9645 634 287 6849 9422 1242 1092 7945 3879 2458 3635 3577 8902 1887 6618 1236 148 3380 8984 9676 3176 8815 1232 7686 1929 8841 1013 2574 1749 2413 1101 4366 3859 9086 712 2174 8740 2394 9807 9207 9338 7394 384 9276 8409 1165 9733 200 3926 2795 5767 3000 6201 7574 1866 7084 7110 2077 8047 5722 9933 5815 2874 4119 279 54 7760 9234 3891 6700 273 824 8656 7243 4535 2289 1501 269 4775 7535 9725 9004 9205 8076 6846 8422 4185 8392 3067 1041 8951 4990 1959 3597 3886 6409 6296 3361 4471 7894 2514 1651 4017 8285 5029 3935 699 9907 2418 9529 8058 2732 2004 7965 9503 7804 7526 5849 1677 8205 66 9146 8241 4556 1091 4759 2146 2679 1340 4633 5336 2135 163 1896 4814 3033 8639 2220 9950 9427 6155 3702 1090 4980 5465 7713 7943 8016 1138 6098 5010 3787 1698 1511 8002 5781 5626 8231 9491 6647 6597 3987 9085 7487 872 6962 4876 4167 163 6361 986 844 1157 8404 9467 614 1966 8400 5592 1898 2337 9433 3249 5759 4028 3719 4019 6528 7566 9816 2058 1592 7362 441 7542 8431 4783 5615 2241 8643 2954 3178 5275 363 5847 3287 9132 9726 2274 4491 4562 2094 569 7537 4553 870 6835 7978 7982 2619 6882 339 9615 1379 3454 582 2274 8033 1742 1022 1484 8006 3618 2291 2140 5629 3731 2343 3579 8994 5921 3049 5030 453 892 8674 2819 4600 6893 3532 5797 9085 6197 4894 7389 4224 6703 616 2394 874 267 3958 9475 4916 809 3917 7073 4874 1326 6806 8497 4200 4443 5358 8086 6407 5684 4720 6283 656 3943 9559 7024 4659 3163 7098 1001 9377 274 2778 2784 4393 8522 1484 7095 3902 6315 8547 7063 7000 399 6822 7899 5718 400 9808 747 4047 7082 164 1836 5969 2026 5661 3858 824 1506 5730 5877 2394 7406 4421 4395 3258 3167 1732 6112 9868 7686 1572 220 8101 5367 69 2738 7820 5499 3908 5973 9303 7516 5639 314 7045 2613 7779 6777 5556 6760 5377 9252 3271 2552 7500 3526 9251 7698 4221 72 7715 2264 4659 8067 189 3191 2005 3571 2481 3462 3119 1235 8454 6815 5757 2530 4959 5701 3121 6057 1011 548 8772 7385 3924 4848 4546 7203 643 4563 867 8004 16 5033 2194 2020 3541 8800 95 7677 8586 7111 2017 5822 5555 6219 4526 5043 5787 5447 737 9730 7768 6252 4636 2923 6514 8110 9899 5585 9978 1876 5423 539 351 3866 3580 7930 9397 8997 9593 8552 98 1219 1637 8567 4742 7699 1586 9360 1231 4942 3396 8556 8791 7713 6007 5532 525 1349 3268 8817 3115 8135 4689 6526 1950 4836 5675 7782 3180 1624 5696 6350 6052 8263 6778 2408 5496 6597 3824 5085 4926 9495 6085 797 1043 5695 368 4250 6489 4373 6659 7111 6994 5646 3238 1963 6102 2006 8074 2889 6945 702 8311 9107 1833 2462 1118 6378 4234 9804 9300 2816 9508 2128 4263 9921 2700 8503 6228 4953 8269 2038 9423 6455 9056 8019 4661 7467 3345 1111 374 3139 2621 4282 9178 8587 145 7583 2243 5327 6601 4224 4050 5507 1424 1236 8529 9561 6179 1277 2968 9150 1169 2754 4964 8661 9728 267 9661 7977 2600 1200 4736 2279 9081 1183 5385 6157 2969 2796 330 2286 4300 3355 1713 6827 4957 1837 6489 9573 2763 39 783 6832 7702 9376 7365 3681 6383 236 1265 5516 3024 7916 7368 6780 6714 672 148 2578 8057 6526 5119 992 5486 6103 8980 5166 6775 1804 4474 346 4269 7728 4557 2081 178 7780 2364 3328 7325 7184 4744 922 3310 5103 3358 9214 2727 5464 9794 2407 3403 9639 9340 6506 3020 695 5346 9566 8402 3574 4928 1280 9994 5763 3325 8824 1601 4906 4676 619 4020 3800 5006 8099 4424 8951 3325 6175 4853 3328 6220 3499 8536 6186 5318 8508 6319 2871 4025 4257 2349 8470 1103 5641 7428 1231 5381 5463 2863 771 7940 9384 2440 6422 4645 9700 4981 1290 6892 1555 5966 5542 8053 8609 2221 7845 2169 6560 2452 42 2433 9176 6720 9831 5882 4841 7269 8373 5982 8582 2051 177 5401 9236 423 8109 398 1762 9656 3939 2536 8979 5035 944 4028 4888 8137 8135 9740 8473 4361 7979 165 4870 4257 1207 851 4537 9387 159 5036 5344 69 5506 5206 7924 3263 9182 1897 7863 5994 7018 8683 4556 960 8380 7550 5658 5115 924 7687 8941 3698 7145 5413 1339 9427 4996 6729 4229 7404 3365 9138 1865 2241 6364 4862 1524 1483 352 9185 2998 8475 3562 6157 9646 5251 241 3685 608 827 3585 306 9832 7366 446 1887 8729 5134 5618 785 7630 1827 2675 \n1386\n5407 4495 7421 6774 7374 3541 4474 9217 4248 2907 9129 2833 5842 6413 2588 7246 7510 5659 3878 1289 2726 8413 916 676 7632 7485 7722 7947 7999 4078 1049 3802 671 2373 2305 1609 8746 6580 1575 8418 2118 3454 4618 2234 2463 7674 4623 1987 8265 720 8750 9380 9341 1411 1756 6764 7138 7236 989 5211 8921 6772 1248 6155 3703 7494 1612 6282 3721 2068 7719 3018 9451 596 4490 9362 5512 1731 5837 9942 3182 893 7730 5316 5471 7003 809 445 4718 8825 869 8876 3135 4867 3798 2211 4291 1823 9941 5415 7526 427 2893 6830 395 9309 8979 1665 1844 9512 8329 162 8812 7378 9948 4983 9762 511 1264 1163 9115 3391 362 3200 7068 7224 5831 5853 3662 766 7308 7342 8017 3483 1300 996 1561 383 8984 9768 6805 3554 385 7302 7573 586 9795 1728 6257 403 3978 3669 6976 9388 777 4963 5400 8733 8627 3577 5449 6383 5003 2733 3570 5603 1877 6699 9133 659 2541 7633 1236 1081 402 82 87 3229 3281 9393 5497 9725 9825 9509 4739 8784 3720 5279 9014 8595 4286 4758 5605 7107 4309 521 2249 4080 6621 5849 1118 8578 4832 8913 1916 673 7060 3974 8440 6357 6840 9436 3840 6870 8921 4958 267 8464 8763 4527 9776 9156 4013 8921 1997 9722 2024 5286 2901 5575 1146 1705 106 3860 3899 335 8094 6667 5560 1960 4704 7797 5442 5612 8066 7006 5042 4833 5072 1988 7643 9157 5464 2059 5710 9052 588 7540 9790 7436 7863 1962 9994 7290 885 1990 3112 9585 2003 9047 4661 189 5681 920 4028 1384 9596 8404 3151 4527 4528 5907 5727 3059 1864 279 9705 1261 7003 9286 6130 8760 4504 9858 748 8462 2414 1165 8461 8726 7991 3767 9230 4496 4165 1710 1875 9072 7091 6540 9266 7198 1970 9835 9189 7300 4089 82 1918 389 3309 3220 2962 7424 8824 2912 4516 7378 1859 1910 6740 9254 8238 7670 1433 6942 7068 5862 2385 5566 950 6852 2885 7789 8293 9899 1381 8072 3430 2136 9870 6870 1184 7541 3255 3263 8047 9856 6414 5594 7885 4101 9213 862 9874 2087 7282 8504 2886 7580 6011 2739 2132 1989 9384 1326 3289 1048 2042 6032 8367 143 8802 5862 9677 9712 1202 3281 3078 5495 2983 4887 4917 6715 4322 9214 6739 6219 1266 5656 799 8734 4601 7266 3498 7239 827 1209 2765 8911 4461 6600 4764 4345 3956 6312 8572 3507 2419 3400 9344 7298 2163 2968 5666 9142 1219 2456 5392 5945 9215 5097 2582 3965 7313 9197 3761 8852 8153 2997 3196 8246 1125 2426 4628 2497 3137 4866 6248 4532 8730 961 6437 5604 6594 1323 79 5418 4261 419 263 7560 6933 8460 1514 5480 3576 3427 970 1670 8072 2541 1988 9344 8040 4919 3530 4159 3164 7483 6189 4095 6037 7882 372 6006 6710 5103 4659 1931 7469 316 4087 6691 2660 8233 4791 2035 1570 8306 8599 7925 6871 7984 8822 8498 5588 582 8130 9583 6696 836 7109 9493 5912 9333 6289 3383 7045 640 2039 784 6099 5066 8388 7455 5648 3028 8562 78 354 4003 4152 3147 9331 9127 1745 633 8599 7763 1508 4715 4375 1374 455 1879 7645 8934 6075 7121 4928 4981 3692 7636 2948 9531 7103 2036 2878 5018 4908 1656 1532 730 6714 5002 5298 2327 8531 8513 439 4211 2730 9423 7663 5778 9016 5688 3701 9554 7579 1981 7319 4167 2737 7651 5436 6159 1361 2808 3707 4941 7849 4411 3736 9022 508 1272 886 9663 2589 9628 1707 4616 2384 1059 9133 7328 9034 7538 8467 9578 4409 7641 5875 8144 247 4439 6820 8076 280 73 1632 2312 6366 9864 6824 7254 2470 2951 5550 1215 4687 2744 4456 2541 7973 4226 4383 1881 2580 6888 1040 2994 9531 4158 5842 6326 2250 5552 91 6855 4518 109 4889 5122 7418 8602 8942 6237 5276 5888 9605 4657 6071 986 7685 6834 3058 3142 1391 8823 5950 9015 7551 5288 2549 2454 6140 2567 7995 6602 8528 5707 4826 2676 8860 6441 3015 2216 3856 6535 2215 2689 969 5368 8676 7097 9137 8748 8117 2952 6029 5541 867 8817 5446 9117 4410 6833 3384 4246 518 1890 6991 590 5780 8459 7438 6508 9563 1520 9814 1348 8345 594 719 4964 811 4454 5336 2159 5293 7898 8335 4601 3380 6777 9383 7856 7801 4101 7980 90 1608 7390 756 3982 9539 8360 9361 9152 8810 9190 906 4739 3688 5216 8403 9578 3752 7032 5801 6714 9776 8131 7280 4495 9035 258 7504 8505 8989 7710 5008 8931 8798 7158 7068 1966 2123 7280 9367 76 5055 3684 5338 3498 3627 581 9859 8221 3195 4283 1701 4817 9690 526 569 93 954 7042 9714 1132 3899 8581 4317 6284 7494 4867 2020 7994 8614 6161 9066 2444 2844 113 5002 961 4786 8934 4462 7194 8235 1736 9632 8043 1183 3960 3296 6716 8522 9490 1600 3422 8588 9496 9771 24 98 9720 2255 566 9869 5893 3983 762 2791 2978 664 1168 8541 2322 4244 9175 6850 8856 1698 8517 3318 9307 6357 9856 6744 7764 9675 6897 4576 4005 3162 7458 7319 5816 2128 2871 2174 9025 5102 6034 4073 526 5596 6905 5859 2743 3830 7018 206 2651 1103 8180 3997 4031 6687 9681 3017 2746 2166 4892 2411 9965 5246 9356 5840 8689 5215 1621 9536 3313 9744 8701 8566 2474 523 286 1017 1357 2919 716 3469 6759 8449 142 6522 2571 7806 3265 3826 437 6542 567 163 9139 1817 120 9469 2058 1557 8767 6458 5491 3003 767 921 4623 2603 8025 6180 4041 2197 5620 6408 9094 6836 1967 3656 2001 4394 2873 5092 4527 7764 3016 6692 6890 4930 8932 5860 5807 6385 6814 1152 2196 8188 6684 2652 1806 6392 2532 2689 8377 1499 7749 4423 9701 1659 4643 2506 3993 3961 6583 1472 5965 7655 3842 6229 7022 9742 156 5811 8524 4721 5047 6579 8567 5506 3516 5033 4409 5708 6511 9073 6284 2285 2778 7252 1369 5866 7262 5347 9121 3643 7194 6826 3356 9283 937 2124 913 5242 4397 4271 9232 9790 2345 6653 6797 9227 8379 8957 693 9462 4077 3817 9363 7037 2064 9965 3950 7318 9922 9658 4515 5364 6662 8316 5783 8922 9941 7409 9362 3867 4824 3508 504 8050 9645 4674 8137 7842 8941 9726 6202 9634 4885 108 8476 5899 6139 2640 2818 3701 5972 7365 3940 2611 992 4243 8320 5776 1159 3772 1127 4076 3087 4935 390 7023 5537 8487 8644 7844 2155 1958 8784 6727 5144 6214 7139 8709 2924 1915 688 1281 4033 2598 7169 8990 4795 1518 826 9265 7837 2535 3561 2735 6785 1390 4544 4075 2714 6128 5609 6796 7401 1071 8914 4275 6714 2197 4619 7850 8211 3295 4692 8950 6853 5497 1498 1272 7195 971 9899 3469 1965 7429 1172 685 9 1506 856 7664 9280 2370 9006 6802 7035 1222 670 3913 5992 4591 1317 7809 5681 664 6786 8882 3208 4936 3400 6338 3591 7886 4630 5984 2672 487 9508 6173 3650 3340 2474 3877 6077 948 439 4724 9318 8781 2703 3463 31 1014 3796 8714 3098 4639 6890 1362 5690 4989 7044 5212 7502 9499 7928 8589 3740 1775 2514 9006 2619 8488 9926 7202 6124 9519 6101 8672 3327 752 7799 1765 1463 9176 2253 7837 403 120 4812 5388 1026 6375 6910 6797 9803 5314 9140 5133 8851 2737 124 6880 5462 7153 2158 3253 7120 7187 6007 3511 7608 3683 2867 9235 6492 6462 2320 564 886 2442 5212 4431 3242 5215 2936 5469 870 9623 3790 8437 5016 2593 2438 2473 3299 8727 6498 5645 1253 9690 1139 7306 5207 9278 6957 1439 7363 370 6508 323 221 3513 8228 5543 7585 6350 2528 2282 7733 4925 7393 6975 6788 8438 4605 1382 6689 9763 9694 3473 5549 2668 2039 1190 8718 4935 3621 1139 831 4867 9867 8449 246 768 4300 7344 5679 3827 7007 3456 2277 1561 5378 9594 3169 7495 7921 7636 8662 9901 9160 8347 4886 526 2623 4455 2919 5282 5721 3066 9487 9028 5869 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5658 1702 5937 6487 9904 7570 8336 5051 3446 5852 2414 2905 5323 3128 7063 6914 8889 6435 2658 9785 9973 4680 3057 3669 9157 3634 9660 8798 2064 7610 6044 4002 6389 1559 391 8097 1743 2318 1574 215 9954 7409 5074 2924 5960 3331 8048 7066 6689 7890 926 2014 4980 534 5636 8608 6754 1367 6953 2764 3931 4320 9688 7855 429 6120 8306 7840 7504 3049 1639 2976 7159 5191 2781 8746 9716 1879 5487 9984 2775 4175 1206 7186 6767 8861 7717 6577 8142 9797 1363 6574 4821 9118 5335 7365 1313 1650 9311 3354 924 270 5321 3876 7909 6179 3634 6747 6988 5322 6796 7017 5647 5956 8890 4324 971 8860 1320 3577 151 6414 833 1292 1187 3093 2356 4828 3536 4671 5425 2321 2683 8703 5121 6818 7375 3778 6720 7630 5315 4121 1365 660 6731 4375 8275 9807 7221 6969 1104 5076 3030 4781 4440 7664 6820 5295 7146 5700 559 5108 1936 7503 7443 9520 4134 3759 3196 2314 1269 2579 1314 859 9058 4658 7271 4236 5672 7039 628 6191 2493 5045 7599 6143 3268 6858 2305 6464 4048 5454 6120 3706 8185 7361 469 3923 9650 4668 8068 6332 1609 6201 7295 9246 1285 6734 498 1430 9211 1903 6576 9031 7273 4525 1864 7954 4102 3171 2432 3892 7467 8796 7536 3473 9397 3 2957 5607 2562 1556 1272 5094 672 8298 6844 9119 4828 2757 2962 7675 5529 5713 1148 8864 633 5419 3659 7710 8353 6452 8401 6407 3478 8482 606 6621 6052 3003 9086 6727 8696 719 8828 3185 3059 8483 8105 1309 8684 5882 8251 365 9634 8542 4809 1178 9275 2326 2845 9896 3987 1552 3475 1790 3410 9216 3461 9430 141 5243 4624 6658 2535 5743 9654 1410 5908 7272 8359 1730 1179 1181 232 9568 881 2702 6267 383 2791 9977 4233 4161 4095 2927 4261 7161 2725 1992 3398 1489 8381 6219 58 5581 9841 8814 8366 547 9454 8649 9680 6878 1462 4422 8770 4922 602 4676 9026 3579 4406 9445 2390 6798 6810 2318 3677 424 3955 3828 7165 3857 4436 5047 2397 3832 1884 259 1275 1840 3280 6629 5624 7598 395 5880 2880 6225 9427 4678 2100 9647 2320 9813 2800 1792 5072 1987 5348 246 5254 8055 4798 3637 8833 2179 1125 1593 108 8522 1144 939 3115 7285 1400 4528 1475 645 244 2467 1752 5197 9196 1853 694 8732 6395 6068 1286 607 9463 8464 947 5242 1651 3584 5424 5730 6504 702 9091 1298 830 9659 9088 2563 3420 4818 6843 2437 9451 8491 1121 6865 6956 7560 959 5275 4861 3782 1753 32 2565 3160 43 3986 2835 2240 1791 781 5456 4575 1320 1417 8900 3746 8820 9787 6455 6755 5649 9590 8831 424 6740 8429 4173 7656 3977 372 7037 2235 4100 645 3530 407 6538 5165 2056 5229 2048 2460 9958 2436 787 6 68 9596 7417 6305 51 5727 1844 7293 5861 9860 7848 645 9332 9203 8431 4399 9393 7102 4417 7472 3713 2176 4953 9702 4324 7997 5003 404 5191 503 7364 7919 2852 4340 2286 2798 6429 9860 4740 3695 4872 6522 275 2659 3622 3117 3042 4182 9738 7746 182 9378 8676 9968 4723 2897 8791 3588 7320 8342 1708 8509 1006 1322 9688 1253 1772 7936 6791 3384 8461 7557 346 947 3984 9719 9728 9419 4207 3675 4554 599 809 7059 5792 7887 2951 93 1481 9121 104 1075 3175 8062 2210 7178 5617 6302 7965 1399 3740 3220 4480 793 5591 8291 3609 4191 9130 9558 7262 657 7179 9210 4489 2900 3654 6825 5911 771 8100 8238 8435 986 3995 7310 205 7274 3193 999 9337 3454 4214 6731 4168 6424 4700 3527 1350 2048 3237 9315 2570 7463 1425 805 5372 1304 \n1651\n2113 4020 7511 3961 1835 3626 8112 8295 2235 4085 8 6283 781 168 4350 1143 2376 9789 8339 7336 5450 4973 5922 3924 4245 4922 132 195 4976 6482 1923 2255 8406 1483 7143 9529 6798 2113 5455 2096 2293 3998 8675 9984 8542 3943 6826 1655 4069 5849 6237 7380 7538 4052 8280 2098 6436 1316 7525 682 9431 3183 9186 9394 9632 2701 4000 2159 234 877 2061 3971 9775 8143 3213 6085 9195 2418 2235 5282 8599 7228 368 2255 7602 648 8066 2189 1585 7748 1744 1442 8044 6663 5419 1954 9994 5216 9944 2089 5105 1066 940 4688 6651 1442 5989 9327 4231 1838 8425 3076 1778 2711 5973 6591 6975 8905 3490 9983 7784 4317 6933 8878 3689 4367 801 5038 4976 2167 4801 7804 4810 4605 7212 14 985 8229 7217 9596 4752 5752 5452 8828 324 8669 2398 8068 6170 9763 1946 4047 4508 942 6594 2649 8181 3405 6936 3636 9975 9447 8377 265 6795 3993 9931 4214 4395 7932 7382 2659 8892 9939 6097 1926 876 1486 7677 3186 2431 8382 2204 3511 9738 4955 2721 1313 2761 5110 5765 7368 218 3187 4284 1391 4525 8090 1003 3503 4748 5461 4083 7134 4059 6901 3099 9341 975 385 5981 7637 4954 2606 6347 9137 3360 3169 2599 1080 3715 1798 3026 4485 8496 1512 3264 3687 2575 3147 1127 4689 4781 297 5277 2107 7421 1584 7295 4325 2515 9440 2377 1477 4391 8417 1349 1186 9836 2681 6039 2820 651 2333 5582 4489 5192 2975 9322 9164 7618 5233 4240 1721 9178 1180 192 8043 3245 7778 5850 3843 5826 450 8716 4697 3475 3963 3288 843 368 1246 5121 5116 4257 1027 1353 1985 6919 752 2957 7472 9218 444 9206 4294 6835 5204 2360 8978 5952 906 3523 2746 1618 1480 1116 2520 5209 6375 1393 9869 8238 2815 4506 6543 5847 4327 3159 6747 1401 5746 7486 6007 2115 6054 1703 4931 4853 9740 8825 8704 3836 8875 6924 5655 6310 4052 2405 7066 3921 3502 4226 3611 7875 7557 2353 7369 375 15 4955 3567 9772 3223 4933 1441 1733 7542 9993 7083 3576 6244 7419 5186 396 8591 5255 6716 7356 3343 1461 6519 5496 8809 5884 7628 9845 6982 2360 1988 2220 7816 4754 5484 4700 1902 2708 9792 9120 5377 1833 9292 1212 5946 1749 3295 7446 3632 4652 5180 8945 1921 3960 5512 5531 8500 39 7992 1930 1382 7546 7556 3857 7047 7104 5437 2936 5449 8823 3979 4298 2018 9349 963 6004 8979 576 778 6567 359 8532 9896 755 4113 322 7941 8350 5656 4175 4725 3036 7555 8376 4519 3225 8412 2492 1967 8433 6198 1129 1151 9635 4114 7806 2687 3373 7765 2986 9514 8854 7767 9378 5345 9381 368 2635 275 7011 3138 8242 185 273 3753 6428 6141 4999 3503 849 6408 8412 5838 2318 2112 7553 7066 7228 6760 1609 7938 1839 1745 451 6590 2781 6454 1988 1828 5087 84 2740 704 5967 7176 5779 7338 6526 179 4587 2310 1663 7395 7570 7128 1911 6010 7679 4443 5382 1280 3550 6340 4878 9039 9565 2535 9532 7189 911 8711 9085 6746 8457 5939 6649 4348 4689 2219 541 9318 8176 3333 9701 7930 7148 2505 6801 5083 8415 2454 4557 6376 2385 7293 8712 4533 4290 9409 3326 8271 9384 9003 5425 8107 4642 3707 9835 2844 6136 6417 5954 4244 5036 2607 9047 4794 1648 5337 9516 1750 7617 1921 2082 2447 5819 3591 4389 7265 1818 8354 6629 1518 7830 906 790 8759 3467 2274 8195 2172 4012 8672 4378 6228 5811 1879 8552 9806 7317 52 8558 39 548 9153 7991 7352 8439 8927 1557 6991 7202 4960 924 121 7772 4481 1365 5921 5401 9695 9179 8333 4682 862 1671 8539 4139 959 842 2037 1450 7317 3124 3488 2133 7830 317 1629 7217 850 9447 1632 8240 4953 9226 3277 8589 9818 7907 5224 7165 7022 4454 6078 9148 6609 7703 8902 3877 9792 312 9953 4560 5982 7822 4013 1364 9357 9079 2109 7350 5486 885 5581 739 5328 9240 6323 1120 8537 6042 2722 1788 9334 4419 7067 2424 3620 1618 7422 3929 4968 6568 9582 3696 5621 3562 3059 5627 5473 7276 1053 7432 5965 9311 6480 5549 1374 4813 124 5998 4872 6485 3085 5932 1627 8092 4144 1942 999 6835 6392 88 8007 4470 8941 81 8219 419 5377 7013 7766 7486 4798 3947 8665 3528 7968 6565 7707 7444 3819 510 6132 9113 440 7345 4961 8616 5280 1666 736 9005 2221 243 8898 7097 1427 6952 9610 9602 1100 5130 944 2629 554 5753 6852 6134 4299 8104 4514 3951 538 6285 2300 7104 4053 5012 3499 905 8690 5166 6249 3940 3453 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6567 6435 6655 3587 4186 9632 2960 5353 8964 2949 8839 2152 1717 9932 9246 5070 7148 874 7905 2126 1763 6257 9501 7101 8579 7281 8259 5497 480 5084 7750 8135 7838 8489 5265 6112 7920 2282 3615 462 4143 9247 1138 7692 9157 4356 217 9158 3648 1470 402 2554 411 6685 9409 1411 4850 1820 270 5489 165 1989 2622 7164 5489 100 7154 8379 917 1684 3613 5501 8508 1355 1451 1526 5378 3243 7168 3192 537 513 1384 7885 9376 4329 8342 5367 4606 2375 1995 8246 1651 2660 7949 6838 798 5596 9625 5321 3056 8510 8536 3929 9771 954 5325 7611 462 6965 5233 7346 7874 2054 2928 4349 7045 3587 9154 3631 3237 6720 2788 6460 9032 1634 6713 7727 9704 3574 2919 7984 2672 3637 9585 7891 7905 923 8759 329 8982 1073 3733 1338 2424 4583 5983 8841 652 6670 8863 4172 5319 5770 3257 2068 424 8915 7665 7429 4089 2796 5697 9456 5372 2532 5203 1877 591 8960 266 8273 310 3432 8673 6710 7251 9357 8155 4129 8759 45 3724 9233 231 9783 9015 3495 993 5223 9015 1520 8321 9671 7055 7600 8657 7680 2596 9727 696 4268 9265 5836 5946 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6113 6553 9531 6781 5866 7109 6129 5863 6145 5633 7605 2978 7540 680 1082 7975 1314 7615 8928 208 8493 2723 6972 3733 7512 705 5499 7559 2528 6942 4204 2139 2932 2877 5573 5628 3546 1507 1521 2494 1431 7041 5904 438 915 1825 3494 16 6694 7377 7824 3168 5646 234 3837 1965 4966 2546 202 2266 7867 9141 9744 2345 2650 1717 3584 5982 7592 5589 8800 2282 9540 1711 3497 4481 1617 9028 9116 9012 7898 493 4407 2600 5839 7025 7792 4490 8454 9239 4383 8295 3022 2194 8057 4141 4603 9307 5934 7404 9545 9639 8184 771 8566 9399 3435 5066 3985 6709 7537 979 674 5120 8263 9281 8095 3181 3166 325 3083 4018 9323 3869 752 9676 7829 9356 2905 1030 9748 8317 5662 8752 3690 6195 4801 8756 376 8958 1499 9577 962 9154 2885 4250 171 1754 6388 5428 1310 6497 865 7710 6961 6178 4789 1742 3288 3757 7187 4393 6473 9305 4299 9591 2021 8848 9108 2972 8934 6935 6766 3150 3588 7942 2028 6101 6818 2003 5260 6221 2636 5181 5131 68 9906 6492 881 9523 1070 2042 6322 1367 1186 8212 733 6335 4971 4349 4033 3197 1399 8787 8658 6721 5970 3744 235 599 6276 7562 1432 9490 3306 9453 6673 3274 5912 6319 2431 4850 7540 842 8165 5826 7057 7316 2346 7795 1801 4920 7378 7557 1724 2759 4972 3508 4846 9264 4093 5621 4260 8155 6666 9898 9103 3009 8916 6138 3600 7401 8331 4615 4378 6153 1214 7276 124 3074 4965 619 1503 6215 1197 282 8443 8865 1856 9483 9871 1349 1388 6832 8409 3094 7865 8826 237 5655 7808 1354 6674 90 3188 2248 636 1717 7868 1402 4340 8628 7302 3139 4553 3060 5055 9747 8052 9129 2653 4725 6591 8138 9089 7030 5341 4073 3782 6268 8328 7284 7308 2658 484 747 5157 336 6917 3072 8884 5928 8533 356 6981 3251 13 2955 6910 3366 9709 7884 2583 3901 4281 5934 4130 3018 3006 8167 7796 9133 9999 9834 3501 3897 1374 1831 3830 7794 5815 1958 9781 7913 684 6670 5523 7607 7264 3538 7859 5717 9817 668 2691 5838 4407 7311 9685 129 4547 7902 5888 2066 310 1863 8541 2223 994 9376 7797 2727 5088 8231 8207 2462 9468 7823 2052 7496 7677 2846 8264 7959 5789 273 3580 4476 5673 1432 1408 3976 5219 9896 6760 676 343 6440 3875 1889 7496 1512 7378 2768 7524 4972 3754 2063 2071 1435 3205 1842 8172 9148 1591 3325 2825 1813 9948 8953 2052 3498 5731 1842 5748 580 9245 2033 3705 5242 7913 2360 485 5890 1377 751 5446 7951 1454 2378 3151 4299 2669 7552 6762 8105 8998 4602 7747 7683 5080 7697 4870 1467 1174 8733 5368 913 9845 8618 2020 5513 4272 8114 8971 9125 4066 6068 3653 9597 7854 6587 4499 6398 3296 4035 9016 7362 2286 2359 6244 184 3540 4971 1831 7410 4345 8457 5644 2437 7618 2790 1460 514 8100 2853 1439 4711 1993 5038 9619 5477 5352 5109 9179 7947 3816 4293 1037 9976 6034 6953 9051 6209 5564 6957 3419 2643 5487 7895 6932 4847 2834 6013 201 2897 1676 3202 148 6976 9398 8057 5051 3563 3940 2122 4845 9651 3057 2631 7610 941 6322 6674 3989 789 5462 8318 7119 2386 4589 2073 1599 8309 4718 5898 4087 3388 4619 3750 739 1578 6718 1381 9894 6804 9313 6841 5909 5530 4003 9193 3103 9135 2087 50 5499 5282 257 5344 5113 9586 9011 9760 4794 2938 6305 8707 7570 8598 6246 3215 940 7 4125 650 591 9225 602 8576 5291 6373 2462 2582 1332 4948 6736 210 3428 2416 9181 7583 1365 4332 7232 7761 8179 6382 6667 7127 8107 8145 4498 3402 4739 9868 529 1474 7041 7066 4900 695 9918 9167 6875 4139 9884 9045 1406 5816 6150 7800 5609 1375 4406 8658 5581 4740 4609 6446 4616 4408 180 5996 5669 6141 3180 4642 3304 1386 4110 8446 3870 1878 2723 5244 4965 5446 5425 9699 2815 2639 2065 5150 9442 8034 5281 8214 1232 8382 1221 2177 6245 5128 3477 6345 9245 7443 7302 7297 8106 198 2864 7373 8734 2240 6205 3372 5 8221 3163 8859 6564 3484 139 426 8265 1877 3666 1976 2432 9985 6259 9903 7351 9850 287 2951 3072 39 1632 5388 2613 1199 3991 4114 6062 9718 8518 2188 3081 8656 3133 4108 1250 8825 6963 2285 6285 4905 2909 6652 4894 3479 9955 7964 6612 944 6805 5012 3434 6050 921 2461 6262 8588 8822 3072 5347 9528 1037 8936 5594 901 4338 3913 3833 4788 4025 7720 7122 716 217 7423 3789 9891 447 4405 6396 1107 7855 9026 1977 761 9749 7348 2411 2842 3050 3698 9047 9153 1509 9273 2607 9015 2737 7632 8884 6787 9681 1256 9373 2188 7589 3596 440 7614 415 8245 4356 3517 7276 2021 6402 5657 2554 9540 2133 2549 6640 5904 506 4773 8764 4940 7943 8733 3689 9902 7613 3290 9692 8806 3037 644 2741 3108 8626 103 566 2301 9160 1379 6254 8477 4969 5025 6085 2955 5283 4345 5953 2217 378 2571 8643 7332 9752 1287 7056 9042 1059 1080 6382 3936 4993 79 6801 5149 2864 4238 3550 9802 8294 9784 4056 9984 2385 2926 790 4345 330 6686 7135 4733 4810 3715 1180 9410 6964 6475 9476 450 1457 1492 8591 4633 750 6022 4849 2842 4898 5744 803 5632 7453 2438 4573 4227 3479 414 8669 6923 5270 600 7021 1571 9217 9826 2999 1352 6879 3514 8506 719 9731 4274 4044 5824 1454 732 2552 4789 5304 4416 4501 558 8928 6135 9973 7406 668 7881 9318 2413 7027 3347 2792 7547 4166 5636 270 3787 9504 5074 3692 5310 629 8099 7354 4458 5833 2920 1720 2104 4677 7957 3021 6977 5440 8960 6314 6991 693 3493 4635 3224 8411 4864 2339 6517 9105 2939 1336 9862 1414 4842 1407 433 9694 2040 8154 9453 8856 144 6885 1217 3603 5136 7268 5027 9886 1598 7603 5069 8981 3599 671 5746 5591 2508 6464 3653 2473 8638 433 9858 6000 906 6965 9543 9487 720 4534 4241 1835 6715 298 6751 6320 3773 5497 8461 8266 4059 6283 2013 4875 6141 5681 1660 1252 1219 6212 5844 7038 7003 7333 6236 6180 3905 5977 8061 4116 2873 2161 3214 2209 2855 885 873 408 5223 1244 811 2166 6091 6851 4724 5653 3963 1390 7108 1252 2402 2127 3348 8214 9694 6214 6771 55 3771 6418 3531 2037 7073 6005 1149 9561 7849 6004 2900 2974 4088 1323 4939 9288 1325 4456 6119 1628 6790 9295 6430 4345 6482 9570 1065 2098 8428 118 4374 1738 3172 5625 2628 7940 8579 548 6685 201 4229 9235 9057 1848 3228 7528 5073 622 7779 8610 9089 4607 9364 9741 8338 5465 9617 4520 350 1136 9121 5334 4060 6208 6522 6264 2947 7795 7871 3712 2970 1641 5172 8964 6142 778 9557 563 5178 7668 9019 3624 3306 7628 9461 4712 5436 6137 4286 8574 7123 3585 1781 1938 6644 5620 9361 6494 147 9572 3225 2897 7470 6411 2462 3633 3769 7419 8255 6730 610 3576 4631 2943 3578 741 9222 6957 968 8418 9354 3162 3764 1176 8660 6607 5288 6257 3621 1988 6685 7606 3533 60 9527 6444 4033 143 2478 1500 1477 6896 2220 2210 1437 2478 7845 4448 4411 3156 6803 6795 1253 2240 6192 1324 9749 2531 8801 5437 9034 50 7971 2679 7616 4318 8059 3363 2597 6285 8217 4678 3367 8255 4879 1718 1838 6279 8199 1989 9356 9296 5618 1626 545 6020 9776 7074 3665 4955 286 8650 8308 392 66 2676 3120 3713 5251 1299 6524 1251 3957 8621 4364 9417 3792 7703 4195 2561 4486 3427 7924 4728 69 5106 5532 6885 9742 3170 6703 7790 6408 7926 4016 2025 7917 1918 1662 5077 9975 212 8191 642 7838 9513 420 4646 3649 3930 607 8155 3806 4135 6950 4599 7428 3544 7900 5448 83 6081 9639 1517 162 6041 8282 848 3317 6254 3252 8849 8034 5975 3937 3095 3368 3930 4424 5415 7257 1434 8014 5414 447 2947 9252 5061 8552 2708 8869 2809 3371 6779 3209 2541 5540 384 3205 9465 8009 4084 3865 2690 1036 3455 3125 484 979 1538 8679 1376 5467 8400 6461 1966 1308 7239 5962 6385 1838 2072 7847 7378 8334 9163 2525 3381 646 5220 302 3251 6808 7562 4749 8380 5756 3342 6729 5551 9563 5419 964 8185 1130 3609 3330 833 9883 3595 6837 5500 3071 2148 4860 7510 7966 7499 1002 6502 1484 1088 9696 6900 1332 4068 3501 4150 6311 8980 1522 6138 8498 779 4564 2659 865 6093 9173 3796 6618 6384 9097 4488 849 3967 2737 5189 355 907 335 149 8023 1791 6750 8730 8572 1079 9784 3364 1864 3579 7050 660 4585 3198 5691 3491 2530 9161 1240 2895 1773 926 7265 5344 8527 4555 4900 2488 6816 4213 4421 9708 7892 3953 8847 1315 4039 3952 3727 8945 1105 427 5645 9057 5588 4516 2943 5159 7490 2152 8849 6557 8252 1667 2401 7494 2017 4105 8460 2358 6060 4429 1178 7347 3787 4483 3413 8634 7050 7770 348 1270 9442 3354 551 707 6957 8464 9388 3366 4075 7546 428 4156 4204 3952 2893 1724 8804 7502 5009 4882 8825 2070 9275 2492 5589 6099 7008 6159 72 4238 1844 2709 1905 8605 4326 14 1893 8017 9678 5360 4390 3552 8042 1101 2660 9388 5372 5665 4383 5305 7046 7387 246 6876 822 9275 3586 4161 3842 7845 8041 7865 4870 8133 8718 1152 3420 9311 9485 4044 6257 8070 4906 9611 9449 9130 7749 6032 6264 4625 4937 2180 8913 9839 143 8332 8392 155 7954 8203 1326 7024 5717 5533 5747 2147 3245 2402 4163 2129 9177 1852 4011 7351 1797 554 8866 7876 8512 5707 5562 4649 3351 5467 9776 6160 8831 1225 933 1667 4251 8731 8441 7024 4300 8372 547 2810 5168 6407 2013 5943 7323 2078 7898 6208 8686 6143 9212 4660 3412 5981 3167 5223 4766 7337 407 6997 355 7789 3158 6511 5631 783 7942 1881 8908 2702 262 7882 2307 4914 895 710 4847 6663 9721 2275 2960 9570 6818 4045 6354 3160 8740 7648 1650 6468 2400 3257 3644 7953 4799 5009 4299 5171 1728 4205 7310 266 9428 108 5067 1882 3307 2271 8849 1949 2262 3967 3710 1597 6366 7992 2148 2924 8393 1747 184 796 8 7382 682 5875 5624 3356 3457 8817 2590 4936 8414 4005 1876 9221 206 9439 7498 2389 5107 5785 1682 198 5903 2986 7152 9633 3763 1625 6637 5866 4032 398 4874 5751 8239 4015 512 3740 3310 605 8154 3090 207 6163 2431 4408 4150 3224 1770 5180 1768 191 8697 9707 6131 9467 9200 8787 3434 2078 4554 1800 6703 4370 299 4321 7931 5102 8645 6040 8662 9084 66 9236 6929 6693 3892 8957 3047 5458 4801 8224 7087 8801 6852 2434 6115 1083 9138 1158 1704 7944 8922 5060 4946 1836 5891 1161 9556 1700 4286 8640 3518 198 919 4847 8520 9574 5562 320 2056 8321 322 9530 732 1935 5762 2781 2603 6547 6297 8839 4613 2271 3576 3644 2204 4073 7256 7653 7031 2828 5334 3088 3393 290 4049 3980 5654 3183 1904 2724 7917 5060 4300 3155 3731 9907 2596 2810 8424 4541 2582 4858 2745 1011 5660 4230 9496 7900 8322 6703 9340 3597 4107 4028 8269 9266 1708 543 9096 8774 3660 9377 601 7142 9848 8633 86 8108 5001 944 8690 7773 2340 4383 3426 7334 8821 3295 5579 1805 5000 5425 481 9437 3257 9832 2051 1025 7888 1869 4906 5511 8016 358 4164 3867 8978 7806 2315 973 9498 2122 9011 4236 9350 5158 3630 4744 4957 3887 2993 1248 1128 6778 6497 2368 8578 8421 8106 3776 3451 9364 5509 4419 1480 8036 468 3675 1194 3545 1527 4753 3428 8174 7503 5160 6726 7524 9087 5566 3963 2752 5357 9408 3715 3867 701 6627 7599 8405 8820 \n1946\n8684 7727 6402 9136 6726 2854 9572 7988 5242 9156 1248 8369 1957 949 593 5400 2000 3532 673 7560 9750 6831 1256 753 6266 6279 8471 8894 8739 4657 263 6676 6365 427 480 4370 1687 3330 7907 5290 7377 7780 9061 494 4855 9264 2561 1286 9965 7913 5587 3262 2029 7157 3504 1222 8756 1225 7339 9803 4712 1900 6809 2660 2241 5017 2177 8393 3358 4524 5787 7600 1573 7904 5193 5172 8173 5063 1750 2546 7288 6794 9259 8264 3854 4339 9200 7673 5278 5985 2632 3540 2184 7129 55 1458 6450 7216 7008 9380 2441 8138 6117 2117 6398 2794 9981 4561 137 9642 6868 6083 7601 3039 6152 6229 8698 3734 7191 3337 1064 2173 2487 5704 9044 198 2398 2661 4320 1980 2409 7753 6566 755 8341 1441 9318 3167 304 5332 7577 6070 5223 2993 9787 2414 9264 5974 110 8367 6403 7540 6730 8720 6163 5873 1040 7192 5117 3695 740 1525 6002 8597 4181 2814 8915 975 6713 368 2485 1252 620 1587 7767 43 2315 5704 3922 2423 4207 3697 6668 8834 9976 2369 6378 8659 6832 9260 5789 7067 3270 466 5533 4562 8912 5212 4075 1618 775 316 836 9152 291 535 9150 1084 8251 1663 8718 2396 4487 6516 8499 7558 3479 5023 2215 3272 1804 8412 8234 3281 3464 2742 7642 3981 6293 6540 1157 4712 6360 3997 8012 4019 4101 2657 1879 8637 8739 9968 8806 6892 4490 372 563 8983 6318 127 3590 544 1280 1632 1516 4230 18 9339 9482 3131 1572 6145 6176 5050 7157 360 8627 2106 8601 1266 2533 1735 611 863 5491 6015 7993 10 1969 6731 8069 6940 5571 1669 7521 2308 1346 5156 7811 3905 3072 9016 8008 6874 5133 7084 5474 50 8165 3514 9866 1206 1592 2984 4615 6685 8535 5656 6406 3151 7523 4101 1756 5624 7635 1591 9787 6138 9009 7423 7235 9216 2177 2578 5391 3423 4435 640 1366 5316 9985 1857 7682 633 2806 4609 9808 7216 5808 2842 7971 4746 9936 3044 8950 4515 6552 9929 5540 2820 5315 5039 2776 1429 1537 1055 1518 4539 988 17 1606 4306 189 4652 5109 6456 4107 254 5033 5532 2438 6573 9397 9073 7338 4362 2357 2479 1722 4823 5254 8441 7961 2513 1619 6994 7210 7098 9229 3560 7193 2056 1671 2452 4151 1678 6823 7546 9468 8446 8937 2361 3964 9236 7820 1685 343 3334 706 9355 4770 2907 526 130 1610 5552 8071 3858 6017 352 9258 9741 8144 1864 5043 8633 6943 4018 6350 1277 9824 7385 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4619 6745 1225 1499 594 1739 1575 9132 4211 7598 552 2179 5427 6627 5241 5300 8381 5491 5055 9720 187 8313 1036 1138 398 6944 2469 5051 1638 4904 2920 2205 7912 3407 1191 2082 4196 913 8436 6089 4861 9400 4349 8667 6010 683 5317 1220 3436 6924 2718 4241 1926 9718 7942 1261 6437 9417 9352 6779 5680 2223 3016 5 406 8310 5175 1031 422 660 8739 7513 4740 1164 2086 2977 2956 8422 2476 4897 7133 9879 7674 8286 3833 5822 8624 2809 5783 2004 9327 8009 4463 4849 9378 9392 6492 9535 6089 990 9989 7789 1256 756 1677 8721 2569 6375 5668 6856 369 895 1288 1480 8641 2459 785 6586 3819 796 156 9714 2497 8744 67 3874 2669 5464 6929 7019 5386 4384 9922 5622 1800 2138 2891 6992 9546 102 8740 6771 4484 4155 1490 8524 7825 1069 314 2453 9939 2148 4685 3157 2380 389 5351 198 187 3169 486 4790 2569 6872 3640 9946 792 7804 1107 3113 7457 6424 5070 577 3567 1718 711 5105 2145 4652 8479 841 1804 1754 7731 8428 3242 6187 2965 2215 9324 5452 5708 148 9922 6986 9613 6034 8562 6088 4356 4468 6862 11 4574 5104 3314 2001 5768 2026 3437 6265 6982 2361 4616 1015 9061 890 786 9210 5649 9362 8282 5156 8205 1832 9986 2137 9670 6872 5525 1873 9552 8057 6207 3239 2007 7837 8562 4641 3217 5010 7892 4965 7123 8984 234 4047 1137 286 3116 3316 5391 9965 1499 8420 4848 4442 7543 8279 5713 2577 8402 6954 2732 8920 1230 7934 6579 3334 3544 5885 8019 2406 3875 5648 8123 2495 1120 3271 9585 5860 6493 1094 8629 3942 1311 2413 1075 3058 9356 1743 4660 2398 8797 4129 9783 2137 8669 6498 582 2296 3872 6719 2703 8890 5396 2375 5346 3243 3060 8610 8721 1686 3770 5828 7968 9406 6828 4631 6704 1198 9011 8497 9788 996 1374 7982 3798 5415 6091 5619 7026 7835 6752 3107 4657 5739 3171 9994 9408 712 9482 3150 2382 303 481 4246 1727 1174 404 60 1536 7537 2772 4569 1180 2945 9794 475 2266 238 703 4858 4177 7065 1623 1801 9892 9329 3347 5951 7120 2621 3246 8454 7921 7608 8782 490 4099 924 2132 1100 3365 6428 9349 7455 9181 1197 3932 7521 2986 885 2687 8124 5379 4934 3023 2145 9191 8436 2135 1493 8938 7239 3680 1958 2012 971 1103 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9570 2104 2991 5989 1292 6010 9160 2042 7335 9784 9405 8475 491 2116 7683 6768 7313 8925 7599 4051 9105 7078 8194 2431 1662 6656 5210 2076 4698 3896 2485 6179 2621 39 6478 6799 4757 5579 7886 1776 2149 599 5862 4750 6232 1476 626 8104 9142 6676 1716 4788 647 6854 9196 4327 8929 9696 453 3737 7479 1433 8735 8611 5823 6448 9653 4771 2225 5674 1355 6015 5723 9759 4847 4683 294 3390 2251 620 6205 1394 7046 4342 6555 4765 317 4423 1247 5453 9662 7834 8042 6112 6927 9501 8465 196 3085 9635 7713 8773 5913 2337 5377 1174 8276 2448 170 9860 4750 2182 5155 6663 5359 2154 5034 8077 46 8051 6273 7806 8650 2915 8742 2389 6003 5861 1668 5892 7714 4777 2915 3714 1050 7457 9725 8301 5364 3804 1589 5177 6362 4568 9341 356 6439 2791 699 5938 3915 8187 2868 9677 8297 8957 3535 3083 3433 9788 2314 541 5952 2219 3362 173 8940 538 4864 5327 879 1536 1283 6601 8624 8024 9397 266 6075 6242 2647 9770 3601 3699 4265 9788 6993 4462 2094 2320 4546 3380 8172 9590 2993 1627 8178 7437 2612 5765 2567 1557 737 4968 1598 2852 7216 1929 4429 8174 7060 8536 7640 8247 7764 5503 9853 3335 8005 7674 508 6295 1206 4473 2238 184 2010 7005 7475 5569 916 3358 9112 6205 3522 7549 3130 1420 6307 1448 5285 1349 7662 9614 6739 5008 8046 6098 5493 1711 8101 4447 9519 8213 6837 6619 9191 1744 6669 7921 8208 7755 7365 9770 8064 7454 3645 6388 3534 4967 2807 6955 2133 6153 2606 9915 3645 9152 2635 5924 8666 5617 848 5220 3639 4920 1036 2745 9428 3539 7041 7549 3367 7491 2393 5859 8178 3231 4614 8381 5796 8668 568 4670 8795 7988 3695 801 8533 3600 4470 6176 1598 6391 8991 3827 8669 3703 7015 5938 4084 5026 1325 269 4876 5578 7449 4413 3067 6623 6288 5619 3303 1132 4869 7929 7075 84 819 4134 5289 2443 5564 9421 3787 6109 3825 1741 8595 8477 4470 8563 1905 5991 7814 772 5117 576 4761 7188 2907 8564 4295 9311 1229 5461 7474 706 3852 1566 3063 5257 1427 7071 8065 6894 7490 7301 4385 3692 879 3818 2660 6234 6632 5747 6998 5611 7811 1414 1187 6246 9347 6786 7117 4099 8660 1371 6686 4804 3534 9934 2630 6403 7369 5136 2064 8163 1909 2735 140 2540 3209 364 2202 1886 4248 1930 7372 8041 875 8253 4778 7992 2321 5986 6756 7573 2473 2384 4628 4111 8580 8338 8951 7031 1404 5943 7874 9631 5520 7122 4780 4950 9060 8801 7290 9176 9329 8749 5472 4046 1022 7226 787 7617 5894 9661 1308 5967 6500 253 8753 2403 3339 1492 6326 7197 7772 6986 4676 4879 1661 6816 4695 3999 7543 8356 1767 3778 9739 3152 6450 5350 8134 9001 5530 84 5744 6598 2882 4431 7925 9954 3554 5833 1099 6627 9989 1206 5778 9274 9692 5061 7699 3124 5284 5967 2728 4721 4254 4611 8978 6415 9628 8355 2984 3850 210 1095 993 6988 8803 2041 5261 23 9229 8199 7188 3358 1660 548 2763 1768 3342 5299 6070 837 4111 205 2697 5840 7867 5669 7402 4314 5441 5572 2531 8557 9624 8628 1020 7445 3678 9321 1142 4189 8783 5262 5492 1862 6691 6105 4552 2904 8229 9658 9024 6739 5120 5150 6806 2654 6744 6437 2838 3731 873 5760 4571 670 5198 4002 3913 8720 8139 8087 6893 2788 2993 5453 5028 7354 407 8680 23 8921 9398 2835 6413 859 4493 9223 897 5150 5008 8747 2522 2527 71 7562 7056 6647 4758 2634 6630 8621 2561 9111 5966 9256 5396 346 877 8232 3602 4570 33 875 776 6709 3870 4227 7204 9959 8400 5369 4765 9618 3694 999 3427 3359 1314 6277 2703 1658 7482 1187 4987 3303 7892 5905 5825 5185 6602 8631 1327 4989 3077 6267 8907 844 4533 9125 6894 6110 8729 1587 7565 4840 2253 702 3530 7114 3160 9079 7086 3484 9428 647 2691 990 6830 2819 919 3176 7116 2782 5459 8027 2967 7523 5203 9639 3739 7859 3380 6317 8003 4783 6321 8999 5421 5408 9276 3327 8257 5447 3107 9017 3529 1094 9228 7175 8393 4096 3591 9072 8340 9793 8385 2413 2155 1471 9869 9517 5092 9049 4988 2247 6593 4566 3502 4434 7530 932 440 6672 4417 2385 6259 8433 5074 1102 5975 442 7306 6890 9236 6558 7807 3023 837 6986 9846 8205 2620 2630 8320 316 9220 7159 6359 6759 6873 334 8255 6715 7341 6703 4991 2140 6120 7451 5139 5402 4875 4636 4241 3605 3891 2567 2837 3963 4784 9636 7742 6821 3571 9146 6461 4364 4406 9129 5673 2327 8183 9687 7032 3610 2411 1529 1400 9453 4373 1355 3664 215 6937 5960 7572 8880 3314 6199 8677 3244 7645 5209 1752 4043 4861 5606 4922 5489 9993 7183 1208 7588 8479 5934 2621 2159 3975 2485 3312 2837 2447 8519 8900 6135 6555 4277 1231 5714 6043 9962 1084 3817 9629 7947 6475 6054 7713 9050 1651 5328 8697 3657 413 2324 6257 5816 6033 5467 5326 1881 531 2537 799 5899 9099 5164 1191 545 3487 2948 4554 7634 6028 6606 4939 6543 4417 8360 2122 6319 5098 6157 5411 3795 4293 8064 8371 473 2343 5591 493 3847 2234 7240 3541 2917 4969 9086 439 5828 9648 7828 6844 1971 6485 7515 4382 9668 8430 8895 5012 5046 2710 8887 657 1266 5119 4741 6413 3208 1658 7113 884 4042 6314 4639 8244 5846 2116 4891 7687 3745 4391 7178 1486 4954 3210 516 9587 7216 3790 9007 1456 6426 892 5235 6644 8010 5425 7072 4250 3244 2632 7031 6349 5059 3313 5101 1157 7185 3423 9039 6800 9223 6613 9241 1469 4292 2117 1174 514 2778 9287 7088 699 2793 7750 5455 2400 7374 4149 9631 4756 6163 1079 5886 1154 1944 1635 180 88 3351 28 7232 9258 4001 7982 5795 4350 4041 5645 2785 6269 6437 6864 2102 4770 3051 8030 4316 4794 3608 8528 7698 7492 5545 1441 3063 5596 9748 13 5800 2408 3776 8242 5389 2049 1131 5559 241 2388 7430 4038 4940 7872 5547 1277 5260 5828 2105 672 7444 4708 6374 5665 297 4814 9043 9181 1605 6041 724 4164 6848 8067 2037 974 3476 9042 1768 6339 6376 7936 9331 6727 2173 7870 5071 1515 7278 3802 4070 7936 6043 8558 8531 2016 3116 7758 8880 2258 3688 1119 8243 7574 5944 141 6280 5850 8260 6849 9929 4404 1593 2578 6621 4183 8150 2122 5510 5101 3692 7762 962 4962 8023 7034 1612 2640 4144 3996 2050 1994 5358 5651 9494 3164 2366 9427 2032 2226 296 4187 9384 1908 1873 1881 2378 8941 5269 5259 3374 6334 8692 803 4146 3253 6415 1598 441 9747 148 5192 2567 8772 7859 8560 623 5361 7477 3062 4166 3940 2529 636 4780 2830 5187 9655 4847 4504 7476 1441 4026 3185 9948 6466 2308 80 6436 8970 2090 572 3591 205 4297 8053 9568 2698 400 5499 6423 3326 9134 9243 3104 3661 5730 759 3949 1352 4136 9034 6333 6960 4045 196 5359 5386 2798 1716 8380 8969 9796 6129 5480 3469 8377 6552 9025 2085 2309 4647 779 9101 9986 7960 2851 6943 3388 2605 4185 5891 3766 3134 8451 2286 2721 7603 6850 8012 8945 4582 1345 2936 8980 7655 837 7299 1995 1101 3187 4237 6955 176 5631 9828 1005 3475 6830 3005 7103 5762 2437 7352 8270 5104 5197 5631 2485 4866 8479 7491 8203 6206 8533 7873 1646 2636 8208 8642 5872 6100 3314 929 3094 4957 8367 5990 9098 8686 2479 6693 8960 5757 979 5131 4220 7670 8508 9163 9475 5900 3226 9936 5155 1661 1793 7133 881 2712 4387 8387 9160 4265 2335 1661 7320 9923 8163 3325 436 4866 9671 7747 7358 9718 2327 4975 4997 9453 1138 4282 4290 3419 218 8017 5654 5775 6877 8423 4127 7511 700 4941 5106 2152 3578 2550 7611 5036 9545 2548 4192 1433 9141 2472 7252 9067 7532 124 3320 510 3884 5029 1852 5337 8040 8417 919 1340 8996 5299 3866 1329 744 4907 9639 8923 7205 6301 9957 8944 6938 6804 7886 106 8312 4105 3170 237 1784 6782 7295 4137 3483 9204 4905 9414 1851 5481 410 567 7802 3755 9309 5841 3519 2747 6042 1748 8829 2524 5859 3905 5187 4038 9886 4885 7965 3307 8534 3960 2176 6288 4949 1837 8289 4095 5186 9847 3600 4811 1051 1725 678 732 5208 5243 9788 7723 7718 6136 4017 2032 4576 2869 2288 3875 9989 7964 7459 8380 4442 3898 2182 7281 1428 8417 34 7568 1289 3987 3258 9315 1277 991 4293 6166 3676 1417 3426 5930 8857 1774 7079 3856 9126 4269 7540 1724 4730 6840 2751 2761 2652 4153 8928 1518 582 9443 3018 4193 5527 1713 4406 7555 1571 1494 4363 3187 7073 9975 6859 2539 1884 409 1246 5986 9165 7669 1478 8167 396 1545 615 4528 8634 100 4180 3619 3119 4703 8774 299 6418 3055 4662 9887 7272 895 8385 7218 9814 6223 178 9905 8492 5676 9291 238 6189 715 5762 2331 9153 3060 5461 7076 6842 4595 6677 4490 9751 9261 6820 3734 2456 5013 8787 527 9593 914 5875 5545 6620 3930 2300 6945 532 7771 848 3695 3200 7287 8437 589 3725 451 7034 829 533 7327 6771 2084 3041 2750 4152 2471 1395 9460 1958 3739 962 6522 3032 1628 2813 3436 1677 7736 4259 1826 6151 4662 2183 1115 6407 7936 2302 9599 9368 9694 1383 8138 4206 323 724 2071 6675 2249 3981 5107 3293 4114 3650 2311 143 903 6307 9588 1311 5322 9888 2077 1428 8434 3343 7753 6674 103 4705 6542 5187 5610 5373 5233 1857 152 8487 4135 2811 7058 1222 4517 49 9494 4639 9629 4228 640 4346 9505 9451 4444 3472 3228 9103 7447 2235 3004 3272 5945 2114 7127 9717 4336 7935 9448 9487 9005 3009 1339 9939 2517 4542 9498 4561 5384 5740 1176 9830 7346 7563 2100 4964 9437 7601 9377 3110 6032 7086 8902 7175 3856 8639 6713 9661 8313 2444 241 3657 5939 6640 7551 7147 3979 5796 60 686 4734 2780 7363 3028 8747 6263 6500 176 1224 6730 6566 2880 9550 1475 3408 4460 1525 8405 253 6361 5614 2731 9137 5949 4974 523 4141 7307 8763 2098 6039 9944 9419 3198 7083 804 8298 8984 584 3180 902 681 951 4270 7447 5879 7102 7578 2201 1291 2495 1021 6018 2602 2670 5279 3678 1208 2173 7769 4189 4365 1270 3531 8009 4055 7299 6355 3214 9718 7722 3317 5633 2333 7345 2518 3368 4735 5036 4510 6749 6416 4150 7833 2162 5776 4558 5193 8088 3910 5974 4683 3685 7791 4066 4890 3637 3101 8035 5281 5346 4629 6671 4786 9365 2426 9661 1888 6098 7202 1722 7248 436 6732 8395 9344 6582 9472 8986 4207 4227 8516 4937 9539 62 1378 7633 5941 7114 6145 440 3050 2374 8020 432 2524 9621 1942 6069 4664 9248 8598 6337 71 279 714 6337 5077 2038 3148 4503 1401 9871 2912 1604 1130 2796 2057 384 8276 7853 570 8735 6240 9108 6420 6204 84 4967 1533 6458 4568 5122 4176 6817 3667 9872 4 3400 2554 5738 2390 3300 821 8385 4845 5678 3035 7463 1106 3600 336 5334 4805 8327 5096 2791 4524 6095 2055 3156 9925 1301 4755 5585 7512 2810 6306 8515 4947 1096 1050 1357 202 356 2506 9965 564 6588 9287 7370 6837 2429 2602 7744 3973 4191 4600 189 1780 7455 4238 9042 3408 3561 5488 2800 1486 3311 3945 6175 6632 3058 5079 4566 2601 1043 8177 2359 4518 4191 2304 2071 8632 1626 7143 1432 843 1373 552 9635 8244 6459 2896 4801 9162 9314 5131 3797 5822 659 1863 7114 9288 6025 7450 9581 2297 9790 8721 7934 9595 5859 5951 2531 8936 2542 7852 4355 9600 9459 447 801 2436 6623 4476 8898 2223 3676 2560 5723 4539 4994 5412 1738 2201 1725 1935 8908 2359 9202 7375 6087 4615 1536 9501 4225 7871 7976 2906 277 7124 3595 4740 8911 26 8383 8144 6873 8834 9606 8833 5031 8920 7888 9579 7979 7273 5185 156 532 1511 4133 4281 2789 8792 6659 3024 8570 4696 8533 6407 4588 6083 3227 1495 3491 3207 4361 5962 4971 4811 8009 3982 6181 9812 1851",
"output": "2206\n1299\n3524\n6159\n5581\n4020\n3027\n1538\n847\n728\n5560\n3014\n3795\n3950\n623\n3315",
"type": "stdin_stdout"
}
]
} |
|
taco | verifiable_code | https://codeforces.com/problemset/problem/173/B | Solve the following coding problem using the programming language python:
"The Chamber of Secrets has been opened again" — this news has spread all around Hogwarts and some of the students have been petrified due to seeing the basilisk. Dumbledore got fired and now Harry is trying to enter the Chamber of Secrets. These aren't good news for Lord Voldemort. The problem is, he doesn't want anybody to be able to enter the chamber. The Dark Lord is going to be busy sucking life out of Ginny.
The Chamber of Secrets is an n × m rectangular grid in which some of the cells are columns. A light ray (and a basilisk's gaze) passes through the columns without changing its direction. But with some spell we can make a column magic to reflect the light ray (or the gaze) in all four directions when it receives the ray. This is shown in the figure below.
<image> The left light ray passes through a regular column, and the right ray — through the magic column.
The basilisk is located at the right side of the lower right cell of the grid and is looking to the left (in the direction of the lower left cell). According to the legend, anyone who meets a basilisk's gaze directly dies immediately. But if someone meets a basilisk's gaze through a column, this person will get petrified. We know that the door to the Chamber is located on the left side of the upper left corner of the grid and anyone who wants to enter will look in the direction of its movement (in the direction of the upper right cell) from that position.
<image> This figure illustrates the first sample test.
Given the dimensions of the chamber and the location of regular columns, Lord Voldemort has asked you to find the minimum number of columns that we need to make magic so that anyone who wants to enter the chamber would be petrified or just declare that it's impossible to secure the chamber.
Input
The first line of the input contains two integer numbers n and m (2 ≤ n, m ≤ 1000). Each of the next n lines contains m characters. Each character is either "." or "#" and represents one cell of the Chamber grid. It's "." if the corresponding cell is empty and "#" if it's a regular column.
Output
Print the minimum number of columns to make magic or -1 if it's impossible to do.
Examples
Input
3 3
.#.
...
.#.
Output
2
Input
4 3
##.
...
.#.
.#.
Output
2
Note
The figure above shows the first sample test. In the first sample we should make both columns magic. The dragon figure represents the basilisk and the binoculars represent the person who will enter the Chamber of secrets. The black star shows the place where the person will be petrified. Yellow lines represent basilisk gaze moving through columns.
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
BUFSIZE = 8192
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 math
import bisect
mod = 998244353
from collections import Counter
import bisect
from heapq import *
from collections import defaultdict, deque
(n, m) = map(int, input().split())
g = [[] for i in range(n + m)]
for i in range(n):
s = input()
for (j, x) in enumerate(s):
if x == '#':
g[i].append(n + j)
g[n + j].append(i)
q = deque([0])
dis = [10 ** 9] * (n + m)
dis[0] = 0
while q:
node = q.popleft()
for i in g[node]:
if dis[i] > dis[node] + 1:
dis[i] = dis[node] + 1
q.append(i)
print(-1 if dis[n - 1] == 10 ** 9 else dis[n - 1])
``` | vfc_143241 | {
"difficulty": "medium_hard",
"memory_limit": "256.0 megabytes",
"memory_limit_bytes": null,
"problem_url": "https://codeforces.com/problemset/problem/173/B",
"time_limit": "2.0 seconds"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "5 5\n.....\n.#...\n.....\n.....\n#.###\n",
"output": "-1\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "3 4\n..##\n....\n..#.\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "2 42\n..........#.......#..........###........#.\n.....#######.......#..#....#...##.........\n",
"output": "2\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "6 8\n...##...\n.#.#.#.#\n#.#.#.#.\n.#.#.#.#\n#.#.#.#.\n#.......\n",
"output": "4\n",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "4 3\n#.#\n.##\n...\n.#.\n",
"output": "4\n",
"type": "stdin_stdout"
}
]
} |
taco | verifiable_code | Solve the following coding problem using the programming language python:
Shil, Aditya and Utkarsh go to a candy shop. There are N candies present in the shop, which are indexed from 1 to N. All three of them select one candy to eat.
However, a candy tastes delicious if and only if, the index of candy chosen by Shil is strictly less than the index of candy chosen by Aditya and the index of candy chosen by Aditya is strictly greater than index of candy chosen by Utkarsh.
To state in simple Mathematical terms, if Shil chooses i^th candy, Aditya chooses j^th candy and Utkarsh chooses k^th candy, then the candies would taste delicious
if and only if i < j and j > k.
You have to find the total number of ways in which they can choose candies such that the candies would taste delicious to them. Note that all of them choose distinct number of candies i.e., i!=j and j!=k and i!=k.
Input format:
The only line of input consists of a single integer N denoting the total number of candies.
Output format:
Find the total number of ways by which all three can choose candies such that the candies would taste delicious to them.
Constraints:
3 ≤ N ≤ 1000
SAMPLE INPUT
4
SAMPLE OUTPUT
8
Explanation
All the possible ways to choose candies are:
[1,3,2]
[2,3,1]
[2,4,3]
[3,4,2]
[1,4,3]
[3,4,1]
[2,4,1]
[1,4,2]
The first integer in all the tuples denotes index of candy chosen by Shil, the second integer denotes index of candy chosen by Aditya and the third integer denotes index of candy chosen by Utkarsh.
The input will be stdin and you should print your solution to stdout
Now solve the problem and return the code. | ```python
'''
# Read input from stdin and provide input before running code
name = raw_input('What is your name?\n')
print 'Hi, %s.' % name
'''
n=eval(input());
ans=n*(n-1)*(n-2)/3
print(ans)
``` | vfc_143245 | {
"difficulty": "easy",
"memory_limit": null,
"memory_limit_bytes": null,
"problem_url": null,
"time_limit": "None"
} | {
"language": "python",
"test_cases": [
{
"fn_name": null,
"input": "1000",
"output": "224073500",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "550",
"output": "55156200",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "501",
"output": "71282198",
"type": "stdin_stdout"
},
{
"fn_name": null,
"input": "864",
"output": "41666500",
"type": "stdin_stdout"
}
]
} |
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