message stringlengths 2 433k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 113 108k | cluster float64 12 12 | __index_level_0__ int64 226 217k |
|---|---|---|---|---|---|
Provide a correct Python 3 solution for this coding contest problem.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is the median of b. Here, / is integer division, rounding ... | instruction | 0 | 80,673 | 12 | 161,346 |
"Correct Solution:
```
import sys
stdin = sys.stdin
sys.setrecursionlimit(10**5)
def li(): return map(int, stdin.readline().split())
def li_(): return map(lambda x: int(x)-1, stdin.readline().split())
def lf(): return map(float, stdin.readline().split())
def ls(): return stdin.readline().split()
def ns(): return s... | output | 1 | 80,673 | 12 | 161,347 |
Provide a correct Python 3 solution for this coding contest problem.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is the median of b. Here, / is integer division, rounding ... | instruction | 0 | 80,674 | 12 | 161,348 |
"Correct Solution:
```
#!/usr/bin/env python3
import sys
try:
from typing import List
except ImportError:
pass
class BIT:
def __init__(self, n: int):
self.tr = [0] * (n + 1)
def add(self, n: int, v: int):
while n < len(self.tr):
self.tr[n] += v
n += n & -n
... | output | 1 | 80,674 | 12 | 161,349 |
Provide a correct Python 3 solution for this coding contest problem.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is the median of b. Here, / is integer division, rounding ... | instruction | 0 | 80,675 | 12 | 161,350 |
"Correct Solution:
```
n = int(input())
A = list(map(int, input().split()))
# n = 4
# A = [i+1 for i in range(n)]
class Bit:
def __init__(self, n):
self.size = n
self.tree = [0] * (n + 1)
def sum(self, i):
s = 0
while i > 0:
s += self.tree[i]
i -= i &... | output | 1 | 80,675 | 12 | 161,351 |
Provide a correct Python 3 solution for this coding contest problem.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is the median of b. Here, / is integer division, rounding ... | instruction | 0 | 80,676 | 12 | 161,352 |
"Correct Solution:
```
def main():
from itertools import accumulate as ac
n = int(input())
a = list(map(int, input().split()))
class BIT():
def __init__(self, n):
self.n = n
self.bit = [0]*(n+1)
# 位置iに値vを足す
def add(self, i, v):
x = i+1
... | output | 1 | 80,676 | 12 | 161,353 |
Provide a correct Python 3 solution for this coding contest problem.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is the median of b. Here, / is integer division, rounding ... | instruction | 0 | 80,677 | 12 | 161,354 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
a2=sorted(set(a))
L=len(a2)
if n==1:print(a[0]);exit()
elif n==2:print(a[1]);exit()
ng=L
ok=0
while ng-ok>1:
check=a2[(ok+ng)//2]
cnt=0 #check以上の要素の数
idx=n
cl=[0]*(2*n+1)
cl[n]=1
Ru=0
for i in range(n):
if a[i]<ch... | output | 1 | 80,677 | 12 | 161,355 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,678 | 12 | 161,356 |
Yes | output | 1 | 80,678 | 12 | 161,357 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,679 | 12 | 161,358 |
Yes | output | 1 | 80,679 | 12 | 161,359 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,680 | 12 | 161,360 |
Yes | output | 1 | 80,680 | 12 | 161,361 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,681 | 12 | 161,362 |
Yes | output | 1 | 80,681 | 12 | 161,363 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,682 | 12 | 161,364 |
No | output | 1 | 80,682 | 12 | 161,365 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,683 | 12 | 161,366 |
No | output | 1 | 80,683 | 12 | 161,367 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,684 | 12 | 161,368 |
No | output | 1 | 80,684 | 12 | 161,369 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We will define the median of a sequence b of length M, as follows:
* Let b' be the sequence obtained by sorting b in non-decreasing order. Then, the value of the (M / 2 + 1)-th element of b' is... | instruction | 0 | 80,685 | 12 | 161,370 |
No | output | 1 | 80,685 | 12 | 161,371 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,989 | 12 | 161,978 |
Yes | output | 1 | 80,989 | 12 | 161,979 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
We call two numbers x and y similar if they have the same parity (the same remainder when divided by 2), or if |x-y|=1. For example, in each of the pairs (2, 6), (4, 3), (11, 7), the numbers are... | instruction | 0 | 80,992 | 12 | 161,984 |
Yes | output | 1 | 80,992 | 12 | 161,985 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,013 | 12 | 162,026 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
#: Author - Soumya Saurav
import sys,io,os,time
from collections import defaultdict
from collections import OrderedDict
from collections import deque
from itertools import combinations
from itertools import permutations
import b... | output | 1 | 81,013 | 12 | 162,027 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,014 | 12 | 162,028 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
from sys import stdin, stdout
import heapq
import cProfile
from collections import Counter, defaultdict, deque
from functools import reduce
import math
def get_int():
return int(stdin.readline().strip())
def get_tuple():... | output | 1 | 81,014 | 12 | 162,029 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,015 | 12 | 162,030 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
import sys
import math
from collections import defaultdict,Counter
# input=sys.stdin.readline
# def print(x):
# sys.stdout.write(str(x)+"\n")
# sys.stdout=open("CP1/output.txt",'w')
# sys.stdin=open("CP1/input.txt",'r')
#... | output | 1 | 81,015 | 12 | 162,031 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,016 | 12 | 162,032 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
import sys
import math,bisect
sys.setrecursionlimit(10 ** 5)
from collections import defaultdict
from itertools import groupby,accumulate
from heapq import heapify,heappop,heappush
from collections import deque,Counter,OrderedDi... | output | 1 | 81,016 | 12 | 162,033 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,017 | 12 | 162,034 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
for _ in range(int(input())):
n=int(input())
arr=list(map(int,input().split()))
left=[0 for i in range(n+1)]
right=[0 for i in range(n+1)]
state=[0 for i in range(n)]
k=n-1
while k>=0:
state[k... | output | 1 | 81,017 | 12 | 162,035 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,018 | 12 | 162,036 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
from collections import Counter
t = int(input())
for _ in range(t):
n = int(input())
a = list(map(int, input().split()))
h1 = Counter(a)
h2 = Counter()
res = 0
for i in range(n):
h1[a[i]] -= 1
... | output | 1 | 81,018 | 12 | 162,037 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,019 | 12 | 162,038 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
def process(A):
d = {}
n = len(A)
for i in range(n):
x = A[i]
if x not in d:
d[x] = []
d[x].append(i)
answer = 0
for x in d:
v = len(d[x])
answer+=(v*(v-1)*... | output | 1 | 81,019 | 12 | 162,039 |
Provide tags and a correct Python 3 solution for this coding contest problem.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test... | instruction | 0 | 81,020 | 12 | 162,040 |
Tags: brute force, combinatorics, data structures, math, two pointers
Correct Solution:
```
import sys
input = sys.stdin.readline
from collections import *
for _ in range(int(input())):
n = int(input())
a = list(map(int, input().split()))
a = list(map(lambda x: x-1, a))
ans = 0
for i in range(... | output | 1 | 81,020 | 12 | 162,041 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given an array a_1, a_2 ... a_n. Calculate the number of tuples (i, j, k, l) such that:
* 1 ≤ i < j < k < l ≤ n;
* a_i = a_k and a_j = a_l;
Input
The first line contains a sing... | instruction | 0 | 81,024 | 12 | 162,048 |
Yes | output | 1 | 81,024 | 12 | 162,049 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., xk is called good if it satisfies the following... | instruction | 0 | 81,086 | 12 | 162,172 |
Tags: dp, number theory
Correct Solution:
```
# Legends Always Come Up with Solution
# Author: Manvir Singh
import os
import sys
from io import BytesIO, IOBase
from collections import Counter
def seieve_prime_factorisation(n):
p, i = [1] * (n + 1), 2
while i * i <= n:
if p[i] == 1:
for j i... | output | 1 | 81,086 | 12 | 162,173 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., xk is called good if it satisfies the following... | instruction | 0 | 81,088 | 12 | 162,176 |
Tags: dp, number theory
Correct Solution:
```
# Legends Always Come Up with Solution
# Author: Manvir Singh
import os
import sys
from io import BytesIO, IOBase
from collections import Counter
def seieve_prime_factorisation(n):
p, i = [1] * (n + 1), 2
while i * i <= n:
if p[i] == 1:
for j i... | output | 1 | 81,088 | 12 | 162,177 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., ... | instruction | 0 | 81,089 | 12 | 162,178 |
No | output | 1 | 81,089 | 12 | 162,179 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., ... | instruction | 0 | 81,090 | 12 | 162,180 |
No | output | 1 | 81,090 | 12 | 162,181 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Squirrel Liss is interested in sequences. She also has preferences of integers. She thinks n integers a1, a2, ..., an are good.
Now she is interested in good sequences. A sequence x1, x2, ..., ... | instruction | 0 | 81,091 | 12 | 162,182 |
No | output | 1 | 81,091 | 12 | 162,183 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,538 | 12 | 163,076 |
"Correct Solution:
```
n=int(input())
a=list(map(int,input().split()))
b=sorted(a)#n
c=list(set(b))
c.sort()
kosuu_list=[]
kosuu=1
for i in range(len(b)-1):
#kosuu=0
#print(b[i])
if b[i]==b[i+1]:
kosuu+=1
else:
kosuu_list.append(kosuu)
kosuu=1
kosuu_list.append(b.count(b[-1]))
#p... | output | 1 | 81,538 | 12 | 163,077 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,539 | 12 | 163,078 |
"Correct Solution:
```
import collections
n = int(input())
a = collections.Counter(list(map(int, input().split()))).most_common()
cnt = 0
for k, v in a:
if k < v:
cnt += (v - k)
elif k > v:
cnt += v
print(cnt)
``` | output | 1 | 81,539 | 12 | 163,079 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,540 | 12 | 163,080 |
"Correct Solution:
```
# ABC082C - Good Sequence (ARC087C)
import sys
input = sys.stdin.readline
from collections import Counter
def main():
n = int(input())
cnt = Counter(list(map(int, input().rstrip().split())))
ans = 0
for i, j in cnt.items():
if i > j:
ans += j
elif i... | output | 1 | 81,540 | 12 | 163,081 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,541 | 12 | 163,082 |
"Correct Solution:
```
n = len(input())
mp, res = {}, 0
for el in list(map(int, input().split())): mp[el] = mp.get(el, 0) + 1
for key in mp:
val = mp[key]
if key > val: res += val
elif key < val: res += val - key
print(res)
``` | output | 1 | 81,541 | 12 | 163,083 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,542 | 12 | 163,084 |
"Correct Solution:
```
from collections import Counter
N=int(input())
A=list(map(int,input().split()))
Ca=dict(Counter(A))
Dk=Ca.keys()
a=0
for i in Dk:
if i>Ca[i]:
a+=Ca[i]
elif i<Ca[i]:
a+=Ca[i]-i
print(a)
``` | output | 1 | 81,542 | 12 | 163,085 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,543 | 12 | 163,086 |
"Correct Solution:
```
N=int(input())
a=[int(i) for i in input().split()]
data={}
for num in a:
if num in data:
data[num]+=1
else:
data[num]=1
ans=0
for key in data.keys():
if data[key]<key:
ans+=data[key]
else:
ans+=data[k... | output | 1 | 81,543 | 12 | 163,087 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,544 | 12 | 163,088 |
"Correct Solution:
```
from collections import Counter
N = int(input())
As = Counter(list(map(int,input().split())))
ans = 0
for x,y in As.items():
if x<y:
ans+=y-x
elif y<x:
ans+=y
print(ans)
``` | output | 1 | 81,544 | 12 | 163,089 |
Provide a correct Python 3 solution for this coding contest problem.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b is a good sequence when the following condition holds t... | instruction | 0 | 81,545 | 12 | 163,090 |
"Correct Solution:
```
N = int(input())
A = [int(i) for i in input().split()]
dic = {}
for a in A:
dic[a] = dic.get(a,0)+1
ans = 0
for k in dic:
if dic[k]>k:
ans += dic[k]-k
elif dic[k]<k:
ans += dic[k]
print(ans)
``` | output | 1 | 81,545 | 12 | 163,091 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,546 | 12 | 163,092 |
Yes | output | 1 | 81,546 | 12 | 163,093 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,547 | 12 | 163,094 |
Yes | output | 1 | 81,547 | 12 | 163,095 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,548 | 12 | 163,096 |
Yes | output | 1 | 81,548 | 12 | 163,097 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,549 | 12 | 163,098 |
Yes | output | 1 | 81,549 | 12 | 163,099 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,550 | 12 | 163,100 |
No | output | 1 | 81,550 | 12 | 163,101 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,551 | 12 | 163,102 |
No | output | 1 | 81,551 | 12 | 163,103 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,552 | 12 | 163,104 |
No | output | 1 | 81,552 | 12 | 163,105 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are given a sequence of positive integers of length N, a = (a_1, a_2, ..., a_N). Your objective is to remove some of the elements in a so that a will be a good sequence.
Here, an sequence b... | instruction | 0 | 81,553 | 12 | 163,106 |
No | output | 1 | 81,553 | 12 | 163,107 |
Provide a correct Python 3 solution for this coding contest problem.
A binary heap which satisfies max-heap property is called max-heap. In a max-heap, for every node $i$ other than the root, $A[i] \leq A[parent(i)]$, that is, the value of a node is at most the value of its parent. The largest element in a max-heap is... | instruction | 0 | 81,673 | 12 | 163,346 |
"Correct Solution:
```
from heapq import heapify, heappop, heappush, heappushpop
N = input()
H = [-x for x in map(int, input().split())]
heapify(H)
print('', *[-x for x in H])
``` | output | 1 | 81,673 | 12 | 163,347 |
Provide a correct Python 3 solution for this coding contest problem.
A binary heap which satisfies max-heap property is called max-heap. In a max-heap, for every node $i$ other than the root, $A[i] \leq A[parent(i)]$, that is, the value of a node is at most the value of its parent. The largest element in a max-heap is... | instruction | 0 | 81,674 | 12 | 163,348 |
"Correct Solution:
```
n = int(input())
a = list(map(int, input().split()))
def maxheapify(a, i):
l = i*2 + 1
r = i*2 + 2
if r < n:
if a[l] > a[i]:
largest = l
else:
largest = i
if a[r] > a[largest]:
largest = r
if largest != i:
... | output | 1 | 81,674 | 12 | 163,349 |
Provide a correct Python 3 solution for this coding contest problem.
A binary heap which satisfies max-heap property is called max-heap. In a max-heap, for every node $i$ other than the root, $A[i] \leq A[parent(i)]$, that is, the value of a node is at most the value of its parent. The largest element in a max-heap is... | instruction | 0 | 81,675 | 12 | 163,350 |
"Correct Solution:
```
from typing import List
def max_heapify(heap: List[int], idx: int) -> None:
left_idx = (2 * (idx + 1)) - 1
right_idx = (2 * (idx + 1))
if len(heap) - 1 >= left_idx and heap[left_idx] > heap[idx]:
largest_idx = left_idx
else:
largest_idx = idx
if len(heap) -... | output | 1 | 81,675 | 12 | 163,351 |
Provide a correct Python 3 solution for this coding contest problem.
A binary heap which satisfies max-heap property is called max-heap. In a max-heap, for every node $i$ other than the root, $A[i] \leq A[parent(i)]$, that is, the value of a node is at most the value of its parent. The largest element in a max-heap is... | instruction | 0 | 81,676 | 12 | 163,352 |
"Correct Solution:
```
import pprint as pp
class Main():
def exchange(self, n1, n2):
tmp = self.A[n1]
self.A[n1] = self.A[n2]
self.A[n2] = tmp
def left(self, i):
return i * 2
def right(self, i):
return i * 2 + 1
def maxHeapify(self, i):
l = self.left(i... | output | 1 | 81,676 | 12 | 163,353 |
Provide a correct Python 3 solution for this coding contest problem.
A binary heap which satisfies max-heap property is called max-heap. In a max-heap, for every node $i$ other than the root, $A[i] \leq A[parent(i)]$, that is, the value of a node is at most the value of its parent. The largest element in a max-heap is... | instruction | 0 | 81,677 | 12 | 163,354 |
"Correct Solution:
```
def parent(i):
return i // 2
def left(i):
return 2 * i
def right(i):
return 2 * i + 1
def max_heapify(i):
global A
l = left(i)
r = right(i)
if l <= H and A[l] > A[i]:
largest = l
else:
largest = i
if r <= H and A[r] > A[largest]:
... | output | 1 | 81,677 | 12 | 163,355 |
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