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Provide a correct Python 3 solution for this coding contest problem.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For the i-th (1≤i≤Q) time, he performs the following operati... | instruction | 0 | 75,774 | 12 | 151,548 |
"Correct Solution:
```
def reads(offset = 0):
return [int(i) - offset for i in input().split(' ')]
def Judge(vector):
length = len(vector)-1
for i in range(length):
if(vector[i] > vector[i+1]):
return 0
return 1
(N, M) = reads()
Q = int(input())
A = reads(1)
pos = [-1] * M
pat = []
freq = [0] * (M+1)
freq[0]... | output | 1 | 75,774 | 12 | 151,549 |
Provide a correct Python 3 solution for this coding contest problem.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For the i-th (1≤i≤Q) time, he performs the following operati... | instruction | 0 | 75,775 | 12 | 151,550 |
"Correct Solution:
```
import sys
input = sys.stdin.readline
sys.setrecursionlimit(10 ** 7)
N,M = map(int,input().split())
Q = int(input())
A = [int(x) for x in input().split()]
used = [False] * (M+1)
arr = []
for x in A[::-1]:
if used[x]:
continue
used[x] = True
arr.append(x)
for x in range(1,M+1... | output | 1 | 75,775 | 12 | 151,551 |
Provide a correct Python 3 solution for this coding contest problem.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For the i-th (1≤i≤Q) time, he performs the following operati... | instruction | 0 | 75,776 | 12 | 151,552 |
"Correct Solution:
```
import sys
readline = sys.stdin.readline
import sys
from itertools import product
readline = sys.stdin.readline
def check1(A):
K = max(A)
table = [-1]*(K+1)
for i in range(Q):
table[A[i]] = i
if -1 in table:
return False
if any(t1-t2 < 0 for t1, t2 in zi... | output | 1 | 75,776 | 12 | 151,553 |
Provide a correct Python 3 solution for this coding contest problem.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For the i-th (1≤i≤Q) time, he performs the following operati... | instruction | 0 | 75,777 | 12 | 151,554 |
"Correct Solution:
```
def reads(offset = 0):
return [int(i) - offset for i in input().split(' ')]
def Judge(vector):
length = len(vector)-1
for i in range(length):
if(vector[i] > vector[i+1]):
return 0
return 1
(N, M) = reads()
Q = int(input())
A = reads(1)
pos = [-1] * M
pat = []
freq = [0] * (M+1)
freq[0]... | output | 1 | 75,777 | 12 | 151,555 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For ... | instruction | 0 | 75,778 | 12 | 151,556 |
No | output | 1 | 75,778 | 12 | 151,557 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For ... | instruction | 0 | 75,779 | 12 | 151,558 |
No | output | 1 | 75,779 | 12 | 151,559 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For ... | instruction | 0 | 75,780 | 12 | 151,560 |
No | output | 1 | 75,780 | 12 | 151,561 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There are N arrays. The length of each array is M and initially each array contains integers (1，2，...，M) in this order.
Mr. Takahashi has decided to perform Q operations on those N arrays. For ... | instruction | 0 | 75,781 | 12 | 151,562 |
No | output | 1 | 75,781 | 12 | 151,563 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,921 | 12 | 151,842 |
Tags: binary search, greedy
Correct Solution:
```
def main():
n, m = map(int, input().split())
a = tuple(map(int, input().split()))
l_, r = -1, m - 1
while l_ + 1 < r:
m_ = (l_ + r) // 2
ai1 = 0
for ai in a:
if (m + ai1 - ai) % m > m_:
if ai < ai1:
... | output | 1 | 75,921 | 12 | 151,843 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,922 | 12 | 151,844 |
Tags: binary search, greedy
Correct Solution:
```
#First we notice that the number of overall operations is equal to the maximum number
#of operations used on a single index.Next we notice that, if we can solve the problem
#in <= X operations, then we can also solve it in <= X + 1 operations.
#This is a monotonic seque... | output | 1 | 75,922 | 12 | 151,845 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,923 | 12 | 151,846 |
Tags: binary search, greedy
Correct Solution:
```
import sys
N, M = map(int, input().split(' '))
A = list(map(int, sys.stdin.readline().split(' ')))
def check() :
last = 0
for i in range(N) :
if A[i] < last :
if last - A[i] > m :
break
elif A[i] > last :
... | output | 1 | 75,923 | 12 | 151,847 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,924 | 12 | 151,848 |
Tags: binary search, greedy
Correct Solution:
```
n , k = map(int , input().split())
A = list(map(int , input().split()))
l = 0
r = k + 1
ans = k + 1
for _ in range(20):
B = [0] * n
m = (l + r)//2
min1 = 0
fl = 0
#print(m)
for i in range(n):
if A[i] > min1 :
if k ... | output | 1 | 75,924 | 12 | 151,849 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,925 | 12 | 151,850 |
Tags: binary search, greedy
Correct Solution:
```
import heapq
import sys
import bisect
from collections import defaultdict
from itertools import product
n, m = list(map(int, input().split()))
arr = list(map(int, input().split()))
l, r = -1, m
def check_v(v):
M = 0
for el in arr:
if el <= M:
... | output | 1 | 75,925 | 12 | 151,851 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,926 | 12 | 151,852 |
Tags: binary search, greedy
Correct Solution:
```
import copy
n, m = map(int, input().split())
a = list(map(int, input().split()))
l = -1
r = 300001
def check(x):
success = True
last = 0 if (a[0] + x >= m) else a[0]
for i in range(1, n):
now = a[i]
if (now < last):
now = mi... | output | 1 | 75,926 | 12 | 151,853 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,927 | 12 | 151,854 |
Tags: binary search, greedy
Correct Solution:
```
n,m = map(int,input().split())
a = list(map(int,input().split()))
def Check(x):
y = 0
for i in range(n):
if a[i] <= y and a[i]+x >= y:
continue
elif a[i]+x >= m and a[i]+x-m>=y:
continue
elif a[i]+x < y :
... | output | 1 | 75,927 | 12 | 151,855 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k such that 1 ≤ i_1 < i_2 < … < i_k ≤ n. He shoul... | instruction | 0 | 75,928 | 12 | 151,856 |
Tags: binary search, greedy
Correct Solution:
```
import sys,math
def read_int():
return int(sys.stdin.readline().strip())
def read_int_list():
return list(map(int,sys.stdin.readline().strip().split()))
def read_string():
return sys.stdin.readline().strip()
def read_string_list(delim=" "):
return sys.stdin.read... | output | 1 | 75,928 | 12 | 151,857 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,929 | 12 | 151,858 |
Yes | output | 1 | 75,929 | 12 | 151,859 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,930 | 12 | 151,860 |
Yes | output | 1 | 75,930 | 12 | 151,861 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,931 | 12 | 151,862 |
Yes | output | 1 | 75,931 | 12 | 151,863 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,932 | 12 | 151,864 |
Yes | output | 1 | 75,932 | 12 | 151,865 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,933 | 12 | 151,866 |
No | output | 1 | 75,933 | 12 | 151,867 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,934 | 12 | 151,868 |
No | output | 1 | 75,934 | 12 | 151,869 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,935 | 12 | 151,870 |
No | output | 1 | 75,935 | 12 | 151,871 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Toad Zitz has an array of integers, each integer is between 0 and m-1 inclusive. The integers are a_1, a_2, …, a_n.
In one operation Zitz can choose an integer k and k indices i_1, i_2, …, i_k ... | instruction | 0 | 75,936 | 12 | 151,872 |
No | output | 1 | 75,936 | 12 | 151,873 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,990 | 12 | 151,980 |
Tags: combinatorics, dp
Correct Solution:
```
from math import factorial as f
def C(n,k):
return f(n)//(f(k)*f(n-k))
n,m=map(int,input().split(' '))
print(C(n+2*m-1,2*m)%(10**9+7))
``` | output | 1 | 75,990 | 12 | 151,981 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,991 | 12 | 151,982 |
Tags: combinatorics, dp
Correct Solution:
```
from math import factorial as f;n,m=map(int,input().split());print(f(2*m+n-1)//f(2*m)//f(n-1)%(7+10**9));
``` | output | 1 | 75,991 | 12 | 151,983 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,992 | 12 | 151,984 |
Tags: combinatorics, dp
Correct Solution:
```
from math import factorial
n, m = [int(x) for x in input().split()]
print((factorial(n + 2 * m - 1) // (factorial(2 * m) * factorial(n - 1))) % (10 ** 9 + 7))
``` | output | 1 | 75,992 | 12 | 151,985 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,993 | 12 | 151,986 |
Tags: combinatorics, dp
Correct Solution:
```
import math
a,b=[int(ele) for ele in input().split()]
inamo=10**9+7
res=(math.factorial(a+b*2-1)//math.factorial(a-1)//math.factorial(b*2))%inamo
print(res)
``` | output | 1 | 75,993 | 12 | 151,987 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,994 | 12 | 151,988 |
Tags: combinatorics, dp
Correct Solution:
```
from math import factorial as fact
mod = 1000000007
def ncr(n,k):
return fact(n) // (fact(k) * fact(n - k))
n,m=map(int,input().split())
print(ncr(n+2*m-1,2*m)%mod)
``` | output | 1 | 75,994 | 12 | 151,989 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,995 | 12 | 151,990 |
Tags: combinatorics, dp
Correct Solution:
```
MOD = 10 ** 9 + 7
n, sz = map(int, input().split())
waysA = [[0 for _ in range(n + 1)] for _ in range(sz + 1)]
waysB = [[0 for _ in range(n + 1)] for _ in range(sz + 1)]
for size in range(1, sz + 1):
for cur in range(1, n + 1):
if size == 1:
ways... | output | 1 | 75,995 | 12 | 151,991 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,996 | 12 | 151,992 |
Tags: combinatorics, dp
Correct Solution:
```
import math
mod=10**9+7
n,m=map(int,input().split())
print((math.factorial(2*m+n-1)//((math.factorial(2*m))*math.factorial(n-1)))%mod)
``` | output | 1 | 75,996 | 12 | 151,993 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between 1 and n (inclusive);
* a_i ≤ b_i for any ind... | instruction | 0 | 75,997 | 12 | 151,994 |
Tags: combinatorics, dp
Correct Solution:
```
from math import factorial
mod = 10**9 + 7
def C(n,k):
return factorial(n)//(factorial(k)*factorial(n-k))
n,m=map(int,input().split(' '))
print(C(n+2*m-1,2*m)%mod)
``` | output | 1 | 75,997 | 12 | 151,995 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between ... | instruction | 0 | 75,998 | 12 | 151,996 |
Yes | output | 1 | 75,998 | 12 | 151,997 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between ... | instruction | 0 | 76,000 | 12 | 152,000 |
Yes | output | 1 | 76,000 | 12 | 152,001 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between ... | instruction | 0 | 76,001 | 12 | 152,002 |
Yes | output | 1 | 76,001 | 12 | 152,003 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between ... | instruction | 0 | 76,002 | 12 | 152,004 |
No | output | 1 | 76,002 | 12 | 152,005 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between ... | instruction | 0 | 76,003 | 12 | 152,006 |
No | output | 1 | 76,003 | 12 | 152,007 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between ... | instruction | 0 | 76,004 | 12 | 152,008 |
No | output | 1 | 76,004 | 12 | 152,009 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given two integers n and m. Calculate the number of pairs of arrays (a, b) such that:
* the length of both arrays is equal to m;
* each element of each array is an integer between ... | instruction | 0 | 76,005 | 12 | 152,010 |
No | output | 1 | 76,005 | 12 | 152,011 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,038 | 12 | 152,076 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
n, p = list(map(int, input().split(' ')))
a = list(map(int, input().split(' ')))
a.sort()
result = []
_min = 0
for i in range(len(a) - 1, -1, -1):
if _min <= a[i] - i:
_min = a[i] - i
_max = a[-1]
for i in range(len... | output | 1 | 76,038 | 12 | 152,077 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,039 | 12 | 152,078 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
lis = input().split()
n,p = int(lis[0]),int(lis[1])
lis = input().split()
a = [0]*n
for i in range(n):
a[i] = int(lis[i])
a.sort()
xminn = a[0]
for i in range(1,n):
xminn = max(a[i]-i,xminn)
for i in range(n):
a[i] = min(xmin... | output | 1 | 76,039 | 12 | 152,079 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,040 | 12 | 152,080 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
def places(num,v):
if num>=v+n:
return 0
if num<v:
return n
return (n-(num-v))
def check(num):
for i in range(n-1,-1,-1):
count = max(0, places(b[i],num) - ((n-1)-i))
# print (num,count)
if count==0:
return Tr... | output | 1 | 76,040 | 12 | 152,081 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,041 | 12 | 152,082 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
mod = 1000000007
eps = 10**-9
def main():
import sys
from collections import Counter
input = sys.stdin.readline
N, p = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
"""
... | output | 1 | 76,041 | 12 | 152,083 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,042 | 12 | 152,084 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
n, p = map(int, input().split())
a = list(map(int, input().split()))
a.sort()
for i in range(n):
a[i] -= i
l = max(a)
for i in range(n):
a[i] += p - 1
r = min(a[p - 1:])
print(max(r - l, 0))
print(*list(range(l, r)))
``` | output | 1 | 76,042 | 12 | 152,085 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,043 | 12 | 152,086 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
n,p = map(int,input().split())
l = list(map(int,input().split()))
l.sort()
m = l[-1]
b = [0] * (2*n-1)
ind = 0
for i in range(2*n-1):
while ind < n and l[ind] <= i+m-n+1:
ind += 1
b[i] = ind
chuje = [0] * p
for i... | output | 1 | 76,043 | 12 | 152,087 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,044 | 12 | 152,088 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
import sys, math,os
from io import BytesIO, IOBase
#data = BytesIO(os.read(0,os.fstat(0).st_size)).readline
# from bisect import bisect_left as bl, bisect_right as br, insort
# from heapq import heapify, heappush, heappop
from c... | output | 1 | 76,044 | 12 | 152,089 |
Provide tags and a correct Python 3 solution for this coding contest problem.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up with the following idea for the competitive prog... | instruction | 0 | 76,045 | 12 | 152,090 |
Tags: binary search, combinatorics, dp, math, number theory, sortings
Correct Solution:
```
import sys
input=sys.stdin.readline
import bisect
n,p=map(int,input().split())
a=[int(i) for i in input().split() if i!='\n']
a.sort()
#print(a)
j,k=a[0],a[0]
for i in range(1,n):
if a[i]-k>1:
j+=((a[i]-k)-1)
... | output | 1 | 76,045 | 12 | 152,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up w... | instruction | 0 | 76,046 | 12 | 152,092 |
Yes | output | 1 | 76,046 | 12 | 152,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up w... | instruction | 0 | 76,047 | 12 | 152,094 |
Yes | output | 1 | 76,047 | 12 | 152,095 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is the hard version of the problem. The difference between versions is the constraints on n and a_i. You can make hacks only if all versions of the problem are solved.
First, Aoi came up w... | instruction | 0 | 76,048 | 12 | 152,096 |
Yes | output | 1 | 76,048 | 12 | 152,097 |
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