message stringlengths 2 65.1k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 0 108k | cluster float64 14 14 | __index_level_0__ int64 0 217k |
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Provide tags and a correct Python 3 solution for this coding contest problem.
Recently, Tokitsukaze found an interesting game. Tokitsukaze had n items at the beginning of this game. However, she thought there were too many items, so now she wants to discard m (1 ≤ m ≤ n) special items of them.
These n items are marked with indices from 1 to n. In the beginning, the item with index i is placed on the i-th position. Items are divided into several pages orderly, such that each page contains exactly k positions and the last positions on the last page may be left empty.
Tokitsukaze would do the following operation: focus on the first special page that contains at least one special item, and at one time, Tokitsukaze would discard all special items on this page. After an item is discarded or moved, its old position would be empty, and then the item below it, if exists, would move up to this empty position. The movement may bring many items forward and even into previous pages, so Tokitsukaze would keep waiting until all the items stop moving, and then do the operation (i.e. check the special page and discard the special items) repeatedly until there is no item need to be discarded.
<image> Consider the first example from the statement: n=10, m=4, k=5, p=[3, 5, 7, 10]. The are two pages. Initially, the first page is special (since it is the first page containing a special item). So Tokitsukaze discards the special items with indices 3 and 5. After, the first page remains to be special. It contains [1, 2, 4, 6, 7], Tokitsukaze discards the special item with index 7. After, the second page is special (since it is the first page containing a special item). It contains [9, 10], Tokitsukaze discards the special item with index 10.
Tokitsukaze wants to know the number of operations she would do in total.
Input
The first line contains three integers n, m and k (1 ≤ n ≤ 10^{18}, 1 ≤ m ≤ 10^5, 1 ≤ m, k ≤ n) — the number of items, the number of special items to be discarded and the number of positions in each page.
The second line contains m distinct integers p_1, p_2, …, p_m (1 ≤ p_1 < p_2 < … < p_m ≤ n) — the indices of special items which should be discarded.
Output
Print a single integer — the number of operations that Tokitsukaze would do in total.
Examples
Input
10 4 5
3 5 7 10
Output
3
Input
13 4 5
7 8 9 10
Output
1
Note
For the first example:
* In the first operation, Tokitsukaze would focus on the first page [1, 2, 3, 4, 5] and discard items with indices 3 and 5;
* In the second operation, Tokitsukaze would focus on the first page [1, 2, 4, 6, 7] and discard item with index 7;
* In the third operation, Tokitsukaze would focus on the second page [9, 10] and discard item with index 10.
For the second example, Tokitsukaze would focus on the second page [6, 7, 8, 9, 10] and discard all special items at once. | instruction | 0 | 22,919 | 14 | 45,838 |
Tags: implementation, two pointers
Correct Solution:
```
import math
import collections
def func(a, k):
if a % k != 0:
mod = 1
else:
mod = 0
return math.floor(a / k) * k + mod * k
n, m, k = input().split()
list = input().split()
k = int(k)
temp = k
size = 0
answer = 0
c = 0
c2 = 0
check = 'false'
used = 0
temp = func(int(list[0]), k)
for i in range(len(list)):
list[i] = int(list[i])
used = 0
if list[i] <= temp:
c += 1
check = 'true'
used = 1
if list[i] >= temp:
if check is 'true':
answer += 1
check = 'false'
temp += c
c = 0
if list[i] - c <= temp and used == 0:
c += 1
check = 'true'
used = 1
else:
temp = temp + func(int(list[i]) - temp, k)
if list[i] - c <= temp and used == 0:
c += 1
check = 'true'
used = 1
elif check is 'false':
temp = temp + func(int(list[i]) - temp, k)
if list[i] - c <= temp and used == 0:
c += 1
check = 'true'
used = 1
print(answer if check is 'false' else answer + 1)
``` | output | 1 | 22,919 | 14 | 45,839 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,024 | 14 | 46,048 |
Tags: greedy, sortings
Correct Solution:
```
def solve():
input()
arr = input().split()
arr = list(map(lambda x: int(x), arr))
arr.sort()
total = 1
ans = 1
for el in arr:
if total >= el:
ans = total + 1
total += 1
return ans
cases = int(input())
ans = []
for case in range(cases):
ans.append(solve())
for el in ans:
print(el)
``` | output | 1 | 23,024 | 14 | 46,049 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,025 | 14 | 46,050 |
Tags: greedy, sortings
Correct Solution:
```
def solve(n,d):
d.sort()
for i in range(len(d) - 1,-1,-1):
# print(d[i],i)
if d[i] > i + 1:
continue
else:
return i + 2
return 1
def main():
t = int(input())
for i in range(t):
n = int(input())
d = input()
d = [int(i) for i in d.split()]
# n = d[0]
# a = d[1]
# b = d[2]
# c = d[3]
# e = d[4]
ans = solve(n,d)
print(ans)
# for i in ans:
# print(i,end = "")
# print()
main()
``` | output | 1 | 23,025 | 14 | 46,051 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,026 | 14 | 46,052 |
Tags: greedy, sortings
Correct Solution:
```
#include <bits/stdc++.h>
import sys
for t in range(int(sys.stdin.readline())):
n = int(sys.stdin.readline())
a = sorted(map(int, sys.stdin.readline().split()))
for i in reversed(range(n)):
if a[i] <= i + 1:
sys.stdout.write(f"{i+2}\n")
break
else:
sys.stdout.write(f"1\n")
``` | output | 1 | 23,026 | 14 | 46,053 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,027 | 14 | 46,054 |
Tags: greedy, sortings
Correct Solution:
```
for q in range(int(input())):
n=int(input())
arr=list(map(int,input().split()))
arr.sort()
ans=n+1
for i in range(n-1,-1,-1):
if arr[i]>=ans:
ans-=1
else:
break
print(ans)
``` | output | 1 | 23,027 | 14 | 46,055 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,028 | 14 | 46,056 |
Tags: greedy, sortings
Correct Solution:
```
T = int(input())
for _ in range(T):
n = int(input())
a = list(map(int,input().split()))
a.append(0)
a.sort()
fl = True
for i in range(n,-1,-1):
if a[i] <= i:
break
print(i+1)
``` | output | 1 | 23,028 | 14 | 46,057 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,029 | 14 | 46,058 |
Tags: greedy, sortings
Correct Solution:
```
for _ in range(int(input())):
n = int(input())
a = list(map(int, input().split()))
a.sort()
now = 1
lim = n
for i in range(n - 1, -1, -1):
if a[i] <= lim:
now += 1
else:
lim -= 1
print(now)
``` | output | 1 | 23,029 | 14 | 46,059 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,030 | 14 | 46,060 |
Tags: greedy, sortings
Correct Solution:
```
# -*- coding: utf-8 -*-
"""
Created on Tue May 26 20:10:54 2020
@author: Mridul Garg
"""
q = int(input())
for _ in range(q):
n = int(input())
arr = list(map(int, input().split(" ")))
arr.sort()
MAX = -1
sure = 1
cur = 1
for i in range(n):
if arr[i] <= cur :
cur += 1
sure = cur
MAX = max(MAX, arr[i])
else:
MAX = max(MAX, arr[i])
cur += 1
print(sure)
# dic = {}
#
# for i in arr:
# if i in dic:
# dic[i] += 1
# else:
# dic[i] = 1
#
# count = 1
#
# temp = list(dic.keys())
# temp.sort()
#
# for i in temp:
# if count + dic[i] <= i:
# count = 1
# for i in range(n):
# if arr[i] <= count:
# count += 1
#
# else:
# break
#
# print(count)
``` | output | 1 | 23,030 | 14 | 46,061 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,031 | 14 | 46,062 |
Tags: greedy, sortings
Correct Solution:
```
import math
for _ in range(int(input())):
n = int(input())
a = list(map(int, input().split()))
a.sort()
pos = -1
for i in range(n):
if a[i] <= i + 1:
pos = i + 1
if pos > 0:
print(1 + pos)
else:print(1)
``` | output | 1 | 23,031 | 14 | 46,063 |
Provide tags and a correct Python 2 solution for this coding contest problem.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total. | instruction | 0 | 23,032 | 14 | 46,064 |
Tags: greedy, sortings
Correct Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
mod=10**9+7
def ni():
return int(raw_input())
def li():
return map(int,raw_input().split())
def pn(n):
stdout.write(str(n)+'\n')
def pa(arr):
pr(' '.join(map(str,arr))+'\n')
# fast read function for total integer input
def inp():
# this function returns whole input of
# space/line seperated integers
# Use Ctrl+D to flush stdin.
return map(int,stdin.read().split())
range = xrange # not for python 3.0+
# main code
for t in range(ni()):
n=ni()
l=li()
l.sort()
f=0
for i in range(n-1,-1,-1):
if l[i]<=i+1:
pn(i+2)
f=1
break
if not f:
pn(1)
``` | output | 1 | 23,032 | 14 | 46,065 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
# Hey, there Stalker!!!
# This Code was written by:
# ▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒
# ▒▒╔╗╔═══╦═══╗▒▒▒╔╗▒▒▒
# ▒╔╝║║╔═╗║╔═╗╠╗▒▒║║▒▒▒
# ▒╚╗║║║║║║║║║╠╬══╣║╔╗▒
# ▒▒║║║║║║║║║║╠╣║═╣╚╝╝▒
# ▒╔╝╚╣╚═╝║╚═╝║║║═╣╔╗╗▒
# ▒╚══╩═══╩═══╣╠══╩╝╚╝▒
# ▒▒▒▒▒▒▒▒▒▒▒╔╝║▒▒▒▒▒▒▒
# ▒▒▒▒▒▒▒▒▒▒▒╚═╝▒▒▒▒▒▒▒
# ▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒
from __future__ import division, print_function
mod=int(1e9+7)
#import resource
#resource.setrlimit(resource.RLIMIT_STACK, [0x100000000, resource.RLIM_INFINITY])
#import threading
#threading.stack_size(2**26)
#fact=[1]
#for i in range(1,100001):
# fact.append((fact[-1]*i)%mod)
#ifact=[0]*100001
#from collections import deque, defaultdict, Counter, OrderedDict
#from math import ceil, sqrt, hypot, factorial, pi, sin, cos, radians, gcd
#from heapq import heappush, heappop, heapify, nlargest, nsmallest
#ifact[100000]=pow(fact[100000],mod-2,mod)
#for i in range(100000,0,-1):
# ifact[i-1]=(i*ifact[i])%mod
# sys.setrecursionlimit(10**6)
from sys import stdin, stdout
import bisect #c++ upperbound
from bisect import bisect_left as bl #c++ lowerbound bl(array,element)
from bisect import bisect_right as br #c++ upperbound
import itertools
from collections import Counter
import collections
import math
import heapq
import re
def modinv(n,p):
return pow(n,p-2,p)
def cin():
return map(int,sin().split())
def ain(): #takes array as input
return list(map(int,sin().split()))
def sin():
return input()
def inin():
return int(input())
def Divisors(n) :
l = []
for i in range(1, int(math.sqrt(n) + 1)) :
if (n % i == 0) :
if (n // i == i) :
l.append(i)
else :
l.append(i)
l.append(n//i)
return l
def most_frequent(list):
return max(set(list), key = list.count)
def GCD(x,y):
while(y):
x, y = y, x % y
return x
def ncr(n,r,p):
t=((fact[n])*((ifact[r]*ifact[n-r])%p))%p
return t
def Convert(string):
li = list(string.split(""))
return li
def SieveOfEratosthenes(n):
global prime
prime = [True for i in range(n+1)]
p = 2
while (p * p <= n):
if (prime[p] == True):
for i in range(p * p, n+1, p):
prime[i] = False
p += 1
f=[]
for p in range(2, n):
if prime[p]:
f.append(p)
return f[-1]
prime=[]
q=[]
def dfs(n,d,v,c):
global q
v[n]=1
x=d[n]
q.append(n)
j=c
for i in x:
if i not in v:
f=dfs(i,d,v,c+1)
j=max(j,f)
# print(f)
return j
def nextPerfectSquare(N):
nextN = math.floor(math.sqrt(N)) + 1
return nextN * nextN
#Implement heapq
#grades = [110, 25, 38, 49, 20, 95, 33, 87, 80, 90]
#print(heapq.nlargest(3, grades)) #top 3 largest
#print(heapq.nsmallest(4, grades))
#Always make a variable of predefined function for ex- fn=len
#n,k=map(int,input().split())
"""*******************************************************"""
def main():
#Write Your Code Here
for _ in range(inin()):
n=inin()
a=ain()
a.sort()
count=1
temp=1
for i in range(n):
if a[i]<=count:
count+=1
temp=count
else:
count+=1
print(temp)
######## Python 2 and 3 footer by Pajenegod and c1729
py2 = round(0.5)
if py2:
from future_builtins import ascii, filter, hex, map, oct, zip
range = xrange
import os, sys
from io import IOBase, BytesIO
BUFSIZE = 8192
class FastIO(BytesIO):
newlines = 0
def __init__(self, file):
self._file = file
self._fd = file.fileno()
self.writable = "x" in file.mode or "w" in file.mode
self.write = super(FastIO, self).write if self.writable else None
def _fill(self):
s = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.seek((self.tell(), self.seek(0,2), super(FastIO, self).write(s))[0])
return s
def read(self):
while self._fill(): pass
return super(FastIO,self).read()
def readline(self):
while self.newlines == 0:
s = self._fill(); self.newlines = s.count(b"\n") + (not s)
self.newlines -= 1
return super(FastIO, self).readline()
def flush(self):
if self.writable:
os.write(self._fd, self.getvalue())
self.truncate(0), self.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
if py2:
self.write = self.buffer.write
self.read = self.buffer.read
self.readline = self.buffer.readline
else:
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')
if __name__== "__main__":
main()
#threading.Thread(target=main).start()
``` | instruction | 0 | 23,033 | 14 | 46,066 |
Yes | output | 1 | 23,033 | 14 | 46,067 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
for i in range(int(input())):
n=int(input())
l=list(map(int,input().split()))
l.sort()
c=1
temp=0
for j in range(len(l)):
if l[j]<=c:
temp=j+1
c+=1
print(temp+1)
``` | instruction | 0 | 23,034 | 14 | 46,068 |
Yes | output | 1 | 23,034 | 14 | 46,069 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
t=int(input())
m=[]
for i in range(t):
n=int(input())
p=input()
arr=sorted(list(map(int,p.split())))
while(n!=0):
if arr[n-1]<=n:
m.append(n+1)
break
n=n-1
if n==0:
m.append(1)
for i in m:
print(i)
``` | instruction | 0 | 23,035 | 14 | 46,070 |
Yes | output | 1 | 23,035 | 14 | 46,071 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
t = int(input())
for i in range(t):
n=int(input())
a=[int(s) for s in input().split()]
a.sort()
a.reverse()
m = False
for j in range(n):
if a[j]<=n-j:
print(n-j+1)
m = True
break
if not m:
print(1)
``` | instruction | 0 | 23,036 | 14 | 46,072 |
Yes | output | 1 | 23,036 | 14 | 46,073 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
def korona(bab):
bab = sorted(bab, reverse = True)
for i in range(len(bab)):
if bab[i] <= len(bab) + 1:
return len(bab) + 1
break
else:
bab = bab[1:]
n = int(input())
for n_itr in range(n):
m = int(input())
bab = list(map(int, input().rstrip().split()))
res = korona(bab)
print(res)
``` | instruction | 0 | 23,037 | 14 | 46,074 |
No | output | 1 | 23,037 | 14 | 46,075 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
import sys
input = sys.stdin.readline
for _ in range(int(input())):
N = int(input())
a = list(map(int, input().split()))
table = [0] * (N + 1)
for x in a:
if x <= N: table[x] += 1
#print(table)
for x in range(N + 1):
if table[x] > 1:
table[max(0, x - table[x])] += table[x]
table[x] = 0
#print(table)
table[0] += 1
x = 0
c = 0
while x <= N:
c += table[x]
if c:
x += 1
c -= 1
else: break
print(x)
``` | instruction | 0 | 23,038 | 14 | 46,076 |
No | output | 1 | 23,038 | 14 | 46,077 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
t = int(input())
for _ in range(t):
n = int(input())
l = list(map(int,input().split()))
a = [0]*n
ans = 1
for i in l:
if(i < n):
a[i-1] += 1
for i in range(n):
if(a[i]+ans > i):
ans += a[i]
print(ans)
``` | instruction | 0 | 23,039 | 14 | 46,078 |
No | output | 1 | 23,039 | 14 | 46,079 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Maria is the most active old lady in her house. She was tired of sitting at home. She decided to organize a ceremony against the coronavirus.
She has n friends who are also grannies (Maria is not included in this number). The i-th granny is ready to attend the ceremony, provided that at the time of her appearance in the courtyard there will be at least a_i other grannies there. Note that grannies can come into the courtyard at the same time. Formally, the granny i agrees to come if the number of other grannies who came earlier or at the same time with her is greater than or equal to a_i.
Grannies gather in the courtyard like that.
* Initially, only Maria is in the courtyard (that is, the initial number of grannies in the courtyard is 1). All the remaining n grannies are still sitting at home.
* On each step Maria selects a subset of grannies, none of whom have yet to enter the courtyard. She promises each of them that at the time of her appearance there will be at least a_i other grannies (including Maria) in the courtyard. Maria can call several grannies at once. In this case, the selected grannies will go out into the courtyard at the same moment of time.
* She cannot deceive grannies, that is, the situation when the i-th granny in the moment of appearing in the courtyard, finds that now there are strictly less than a_i other grannies (except herself, but including Maria), is prohibited. Please note that if several grannies appeared in the yard at the same time, then each of them sees others at the time of appearance.
Your task is to find what maximum number of grannies (including herself) Maria can collect in the courtyard for the ceremony. After all, the more people in one place during quarantine, the more effective the ceremony!
Consider an example: if n=6 and a=[1,5,4,5,1,9], then:
* at the first step Maria can call grannies with numbers 1 and 5, each of them will see two grannies at the moment of going out into the yard (note that a_1=1 ≤ 2 and a_5=1 ≤ 2);
* at the second step, Maria can call grannies with numbers 2, 3 and 4, each of them will see five grannies at the moment of going out into the yard (note that a_2=5 ≤ 5, a_3=4 ≤ 5 and a_4=5 ≤ 5);
* the 6-th granny cannot be called into the yard — therefore, the answer is 6 (Maria herself and another 5 grannies).
Input
The first line contains a single integer t (1 ≤ t ≤ 10^4) — the number of test cases in the input. Then test cases follow.
The first line of a test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of grannies (Maria is not included in this number).
The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 2⋅10^5).
It is guaranteed that the sum of the values n over all test cases of the input does not exceed 10^5.
Output
For each test case, print a single integer k (1 ≤ k ≤ n + 1) — the maximum possible number of grannies in the courtyard.
Example
Input
4
5
1 1 2 2 1
6
2 3 4 5 6 7
6
1 5 4 5 1 9
5
1 2 3 5 6
Output
6
1
6
4
Note
In the first test case in the example, on the first step Maria can call all the grannies. Then each of them will see five grannies when they come out. Therefore, Maria and five other grannies will be in the yard.
In the second test case in the example, no one can be in the yard, so Maria will remain there alone.
The third test case in the example is described in the details above.
In the fourth test case in the example, on the first step Maria can call grannies with numbers 1, 2 and 3. If on the second step Maria calls 4 or 5 (one of them), then when a granny appears in the yard, she will see only four grannies (but it is forbidden). It means that Maria can't call the 4-th granny or the 5-th granny separately (one of them). If she calls both: 4 and 5, then when they appear, they will see 4+1=5 grannies. Despite the fact that it is enough for the 4-th granny, the 5-th granny is not satisfied. So, Maria cannot call both the 4-th granny and the 5-th granny at the same time. That is, Maria and three grannies from the first step will be in the yard in total.
Submitted Solution:
```
T = int(input())
for _ in range(0,T):
N = int(input())
a = list(map(int,input().split()))
cnt = 1
flag = 0
m = []
j = len(a) - 1
while len(a) != 0 and j >= 0:
if a[j] <= j+1:
print(j+2)
flag = 1
break
else:
j = j-1
if flag == 0:
print(1)
``` | instruction | 0 | 23,040 | 14 | 46,080 |
No | output | 1 | 23,040 | 14 | 46,081 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,098 | 14 | 46,196 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
T = int(input())
t = 1
while t<=T:
n,x = map(int,input().split())
arr = list(map(int,input().split()))
if sum(arr)==x:
print("NO")
t += 1
continue
arr = sorted(arr)
tot = 0
for i in range(n-1):
tot += arr[i]
if tot==x:
arr[i],arr[i+1] = arr[i+1],arr[i]
print("YES")
print(" ".join(map(str,arr)))
t += 1
``` | output | 1 | 23,098 | 14 | 46,197 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,099 | 14 | 46,198 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
for _ in range(int(input())):
n, x = map(int, input().split())
arr = list(map(int, input().split()))
if sum(arr) == x:
print("NO")
else:
print("YES")
count = 0
for i in range(n-1):
count += arr[i]
if count == x:
arr[i], arr[i+1] = arr[i+1], arr[i]
count -= arr[i]
count += arr[i+1]
print(*arr)
"""
1 2 3 4 5 6
"""
``` | output | 1 | 23,099 | 14 | 46,199 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,100 | 14 | 46,200 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
def main():
for _ in range(int(input())):
n, x = map(int, input().split())
arr = list(map(int, input().split()))
print(get(arr,x))
def get(arr, x):
k = 0
arr = list(sorted(arr, reverse=True))
for i in range(len(arr)):
if k + arr[i] == x:
found = True
for j in range(i,len(arr)):
if k + arr[j] != x:
b = arr[j]
y = arr[i]
arr[i] = b
arr[j] = y
found = False
if found:
return "NO"
k+=arr[i]
else:
k+=arr[i]
return "YES" + '\n' + ' '.join(map(str,arr))
if __name__ == '__main__':
main()
``` | output | 1 | 23,100 | 14 | 46,201 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,101 | 14 | 46,202 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
for i in range(int(input())):
n,x=[int(x) for x in input().split()]
l=list(map(int,input().split()))
if(sum(l)!=x):
print("YES")
g=[]
s=0
m=0
flag=0
for i in range(0,n):
if(s+l[i]!=x):
g.append(l[i])
s=s+l[i]
if(flag==1):
g.append(m)
flag=0
m=0
elif(flag==0):
flag=1
m=l[i]
if(m!=0):
g.append(m)
print(*g)
else:
print("NO")
``` | output | 1 | 23,101 | 14 | 46,203 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,102 | 14 | 46,204 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
from sys import stdin
input = stdin.buffer.readline
t=int(input())
for i in range(t):
n,x=map(int,input().split())
arr=[int(x) for x in input().split()]
arr.sort()
s=0
ans=[]
flag=True
keep=None
for i in range(n):
s=s+arr[i]
if s==x:
if i<n-1:
keep=arr[i]
else:
flag=False
break
else:
ans.append(arr[i])
if flag:
print("YES")
if keep!=None:
ans.append(keep)
print(*ans)
else:
print("NO")
``` | output | 1 | 23,102 | 14 | 46,205 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,103 | 14 | 46,206 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
t = int(input())
while t > 0:
t -= 1
n, x = map(int, input().split())
w = list(map(int, input().split()))
w.sort()
done = False
for i in range(n):
s = 0
bad = False
for y in w:
s += y
if s == x:
bad = True
if not bad:
done = True
break
w = [w[-1]] + w[:-1]
print('YES\n' + ' '.join(str(x) for x in w) if done else 'NO')
``` | output | 1 | 23,103 | 14 | 46,207 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,104 | 14 | 46,208 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
t = int(input())
while(t > 0):
l1 = []
t -= 1
n, x = map(int, input().split())
w = list(map(int, input().split()))
maxw = max(w)
lol = sum(w)
if maxw > x:
w.remove(maxw)
w.insert(0, maxw)
l1 = w
ans = "YES"
elif lol < x:
l1 = w
ans = "YES"
elif lol == x:
l1 = w
ans = "NO"
else:
w = sorted(w)
i = len(w)-1
som = 0
l =0
while i >= 0:
som += w[i]
if som != x:
l1.insert(l, w[i])
l+=1
i -= 1
else:
som -= w[i]
l1.append(w[i])
i -= 1
ans = "YES"
print(ans)
if ans == "YES":
for k in l1:
print(k, end=" ")
print()
``` | output | 1 | 23,104 | 14 | 46,209 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Phoenix has collected n pieces of gold, and he wants to weigh them together so he can feel rich. The i-th piece of gold has weight w_i. All weights are distinct. He will put his n pieces of gold on a weight scale, one piece at a time.
The scale has an unusual defect: if the total weight on it is exactly x, it will explode. Can he put all n gold pieces onto the scale in some order, without the scale exploding during the process? If so, help him find some possible order.
Formally, rearrange the array w so that for each i (1 ≤ i ≤ n), ∑_{j = 1}^{i}w_j ≠ x.
Input
The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.
The first line of each test case contains two integers n and x (1 ≤ n ≤ 100; 1 ≤ x ≤ 10^4) — the number of gold pieces that Phoenix has and the weight to avoid, respectively.
The second line of each test case contains n space-separated integers (1 ≤ w_i ≤ 100) — the weights of the gold pieces. It is guaranteed that the weights are pairwise distinct.
Output
For each test case, if Phoenix cannot place all n pieces without the scale exploding, print NO. Otherwise, print YES followed by the rearranged array w. If there are multiple solutions, print any.
Example
Input
3
3 2
3 2 1
5 3
1 2 3 4 8
1 5
5
Output
YES
3 2 1
YES
8 1 2 3 4
NO
Note
In the first test case, Phoenix puts the gold piece with weight 3 on the scale first, then the piece with weight 2, and finally the piece with weight 1. The total weight on the scale is 3, then 5, then 6. The scale does not explode because the total weight on the scale is never 2.
In the second test case, the total weight on the scale is 8, 9, 11, 14, then 18. It is never 3.
In the third test case, Phoenix must put the gold piece with weight 5 on the scale, and the scale will always explode. | instruction | 0 | 23,105 | 14 | 46,210 |
Tags: constructive algorithms, greedy, math
Correct Solution:
```
for t in range(int(input())):
n,x=map(int,input().split())
l=list(map(int,input().split()))
k=sum(l)
if k==x:
print("NO")
else:
print("YES")
c=0
k=[]
for i in range(n):
c+=l[i]
if c==x:
l[i],l[i+1]=l[i+1],l[i]
c-=l[i+1]
c+=l[i]
k.append(l[i])
else:
k.append(l[i])
print(*k)
``` | output | 1 | 23,105 | 14 | 46,211 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly ai feet high.
<image>
A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.
Mike is a curious to know for each x such that 1 ≤ x ≤ n the maximum strength among all groups of size x.
Input
The first line of input contains integer n (1 ≤ n ≤ 2 × 105), the number of bears.
The second line contains n integers separated by space, a1, a2, ..., an (1 ≤ ai ≤ 109), heights of bears.
Output
Print n integers in one line. For each x from 1 to n, print the maximum strength among all groups of size x.
Examples
Input
10
1 2 3 4 5 4 3 2 1 6
Output
6 4 4 3 3 2 2 1 1 1 | instruction | 0 | 23,294 | 14 | 46,588 |
Tags: binary search, data structures, dp, dsu
Correct Solution:
```
n=int(input())
arr=list(map(int,input().split()))
pse,nse=[-1]*n,[n]*n
stack,stack2=[0],[n-1]
for i in range(1,n):
while(len(stack) and arr[i]<arr[stack[-1]]):
nse[stack.pop()]=i
stack.append(i)
while(len(stack2) and arr[n-i-1]<arr[stack2[-1]]):
pse[stack2.pop()]=n-i-1
stack2.append(n-i-1)
dic={}
for i in range(n):
dic[arr[i]]=max(dic.get(arr[i],0),(nse[i]-pse[i]-1))
out=[0]*(n+1)
for i in dic:
out[dic[i]]=max(out[dic[i]],i)
temp=out[-1]
for i in range(n-1,0,-1):
if out[i]<out[i+1]:
out[i]=out[i+1]
print((" ").join(map(str,out[1:])))
``` | output | 1 | 23,294 | 14 | 46,589 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly ai feet high.
<image>
A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.
Mike is a curious to know for each x such that 1 ≤ x ≤ n the maximum strength among all groups of size x.
Input
The first line of input contains integer n (1 ≤ n ≤ 2 × 105), the number of bears.
The second line contains n integers separated by space, a1, a2, ..., an (1 ≤ ai ≤ 109), heights of bears.
Output
Print n integers in one line. For each x from 1 to n, print the maximum strength among all groups of size x.
Examples
Input
10
1 2 3 4 5 4 3 2 1 6
Output
6 4 4 3 3 2 2 1 1 1 | instruction | 0 | 23,295 | 14 | 46,590 |
Tags: binary search, data structures, dp, dsu
Correct Solution:
```
btqAIXPWRsBVCLo = int
btqAIXPWRsBVCLE = input
btqAIXPWRsBVCLp = list
btqAIXPWRsBVCLT = map
btqAIXPWRsBVCLN = range
btqAIXPWRsBVCLJ = max
btqAIXPWRsBVCLD = print
btqAIXPWRsBVCLy = str
btqAIXPWRsBVCLM = btqAIXPWRsBVCLo
btqAIXPWRsBVCLj = btqAIXPWRsBVCLE
btqAIXPWRsBVCLu = btqAIXPWRsBVCLp
btqAIXPWRsBVCLH = btqAIXPWRsBVCLT
btqAIXPWRsBVCLr = btqAIXPWRsBVCLN
btqAIXPWRsBVCLm = btqAIXPWRsBVCLJ
btqAIXPWRsBVCLa = btqAIXPWRsBVCLD
btqAIXPWRsBVCLf = btqAIXPWRsBVCLy
n = btqAIXPWRsBVCLM(btqAIXPWRsBVCLj())
r = [0]*(n+1)
a = [0]*(n+1)
a[1:-1] = btqAIXPWRsBVCLu(btqAIXPWRsBVCLH(btqAIXPWRsBVCLM,
btqAIXPWRsBVCLj().split()))
s = [(0, 0)]
for i in btqAIXPWRsBVCLr(1, n+2):
while a[i] < s[-1][0]:
r[i-s[-2][1]-1] = btqAIXPWRsBVCLm(s[-1][0], r[i-s[-2][1]-1])
del s[-1]
s += [(a[i], i)]
for i in btqAIXPWRsBVCLr(n):
r[-i-2] = btqAIXPWRsBVCLm(r[-i-2], r[-i-1])
btqAIXPWRsBVCLa(' '.join(btqAIXPWRsBVCLH(btqAIXPWRsBVCLf, r[1:])))
``` | output | 1 | 23,295 | 14 | 46,591 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly ai feet high.
<image>
A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.
Mike is a curious to know for each x such that 1 ≤ x ≤ n the maximum strength among all groups of size x.
Input
The first line of input contains integer n (1 ≤ n ≤ 2 × 105), the number of bears.
The second line contains n integers separated by space, a1, a2, ..., an (1 ≤ ai ≤ 109), heights of bears.
Output
Print n integers in one line. For each x from 1 to n, print the maximum strength among all groups of size x.
Examples
Input
10
1 2 3 4 5 4 3 2 1 6
Output
6 4 4 3 3 2 2 1 1 1 | instruction | 0 | 23,296 | 14 | 46,592 |
Tags: binary search, data structures, dp, dsu
Correct Solution:
```
from sys import stdin, stdout
def input(): return stdin.readline().strip()
def print(x, end='\n'): stdout.write(str(x) + end)
n, lst = int(input()), list(map(int, input().split()))
nse, pse, stk, ans = [n for i in range(n)], [-1 for i in range(n)], [], [0 for i in range(n)]
for i in range(n):
while stk and lst[stk[-1]] > lst[i]: nse[stk.pop()] = i
stk.append(i)
stk.clear()
for i in range(n-1, -1, -1):
while stk and lst[stk[-1]] > lst[i]: pse[stk.pop()] = i
stk.append(i)
for i in range(n): ans[nse[i] - pse[i] - 2] = max(lst[i], ans[nse[i] - pse[i] - 2])
for i in range(n-2, -1, -1): ans[i] = max(ans[i+1], ans[i])
print(' '.join(map(str, ans)))
``` | output | 1 | 23,296 | 14 | 46,593 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly ai feet high.
<image>
A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.
Mike is a curious to know for each x such that 1 ≤ x ≤ n the maximum strength among all groups of size x.
Input
The first line of input contains integer n (1 ≤ n ≤ 2 × 105), the number of bears.
The second line contains n integers separated by space, a1, a2, ..., an (1 ≤ ai ≤ 109), heights of bears.
Output
Print n integers in one line. For each x from 1 to n, print the maximum strength among all groups of size x.
Examples
Input
10
1 2 3 4 5 4 3 2 1 6
Output
6 4 4 3 3 2 2 1 1 1 | instruction | 0 | 23,297 | 14 | 46,594 |
Tags: binary search, data structures, dp, dsu
Correct Solution:
```
import sys
def main():
n=int(sys.stdin.readline())
a=list(map(int,sys.stdin.readline().split()))
dq=[]
left_nearest=[-1]*n
right_nearest=[n]*n
for i in range(n):
while len(dq) and a[dq[-1]] >= a[i]:
del dq[-1]
if len(dq):
left_nearest[i]=dq[-1]
dq.append(i)
dq.clear()
for i in range(n-1,-1,-1):
while len(dq) and a[dq[-1]] >= a[i]:
del dq[-1]
if len(dq):
right_nearest[i]=dq[-1]
dq.append(i)
ans=[-1] * (n+1)
for i in range(n):
length=right_nearest[i]-i+i-left_nearest[i]-1
#print(i,length)
ans[length]=max(ans[length],a[i])
for i in range(n-1,0,-1):
ans[i]=max(ans[i],ans[i+1])
#print(' '.join(map(str,ans[1:])))
sys.stdout.write(' '.join(map(str,ans[1:])))
main()
``` | output | 1 | 23,297 | 14 | 46,595 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly ai feet high.
<image>
A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.
Mike is a curious to know for each x such that 1 ≤ x ≤ n the maximum strength among all groups of size x.
Input
The first line of input contains integer n (1 ≤ n ≤ 2 × 105), the number of bears.
The second line contains n integers separated by space, a1, a2, ..., an (1 ≤ ai ≤ 109), heights of bears.
Output
Print n integers in one line. For each x from 1 to n, print the maximum strength among all groups of size x.
Examples
Input
10
1 2 3 4 5 4 3 2 1 6
Output
6 4 4 3 3 2 2 1 1 1 | instruction | 0 | 23,298 | 14 | 46,596 |
Tags: binary search, data structures, dp, dsu
Correct Solution:
```
n = list(map(int, input().split()))[0]
lst = list(map(int, input().split()))
sorted_index = sorted(range(n), key=lambda k: lst[k], reverse=True)
lookup = [(0, 0)] * n
res = []
res_pos = 1
for index in sorted_index:
seq_len = lookup[index][0] + lookup[index][1] + 1
if seq_len >= res_pos:
step = seq_len - res_pos + 1
res += [lst[index]] * step
res_pos += step
step_back = lookup[index][0] + 1
if index - step_back >= 0:
lookup[index - step_back] = (lookup[index - step_back][0],
lookup[index - step_back][1] + 1 + lookup[index][1])
step_forward = lookup[index][1] + 1
if index + step_forward < n:
lookup[index + step_forward] = (lookup[index + step_forward][0] + 1 + lookup[index][0],
lookup[index + step_forward][1])
res = list(map(str, res))
print(" ".join(res))
``` | output | 1 | 23,298 | 14 | 46,597 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Mike is the president of country What-The-Fatherland. There are n bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to n from left to right. i-th bear is exactly ai feet high.
<image>
A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.
Mike is a curious to know for each x such that 1 ≤ x ≤ n the maximum strength among all groups of size x.
Input
The first line of input contains integer n (1 ≤ n ≤ 2 × 105), the number of bears.
The second line contains n integers separated by space, a1, a2, ..., an (1 ≤ ai ≤ 109), heights of bears.
Output
Print n integers in one line. For each x from 1 to n, print the maximum strength among all groups of size x.
Examples
Input
10
1 2 3 4 5 4 3 2 1 6
Output
6 4 4 3 3 2 2 1 1 1 | instruction | 0 | 23,300 | 14 | 46,600 |
Tags: binary search, data structures, dp, dsu
Correct Solution:
```
n=int(input())
arr=list(map(int,input().split()))
pse,nse=[-1]*n,[n]*n
stack,stack2=[0],[n-1]
for i in range(1,n):
while(len(stack) and arr[i]<arr[stack[-1]]):
nse[stack.pop()]=i
stack.append(i)
while(len(stack2) and arr[n-i-1]<arr[stack2[-1]]):
pse[stack2.pop()]=n-i-1
stack2.append(n-i-1)
dic={}
for i in range(n):
dic[arr[i]]=max(dic.get(arr[i],0),(nse[i]-pse[i]-1))
k=list(dic.items())
k.sort(reverse=True,key=lambda x:x[0])
cnt=0
for ind,(item,times) in enumerate(k):
times-=cnt
for _ in range(times):
cnt+=1
print(item,end=" ")
``` | output | 1 | 23,300 | 14 | 46,601 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,350 | 14 | 46,700 |
Tags: brute force, implementation
Correct Solution:
```
n = int(input())
index = -1
seats = []
for i in range(n):
s = input()
seats.append(s)
if 'OO' in s and index==-1:
index = i
if index != -1:
left, right = seats[index].split('|')
if left == 'OO':
seats[index] = '++|{}'.format(right)
else:
seats[index] = '{}|++'.format(left)
print('YES')
print('\n'.join(seats))
else:
print('NO')
``` | output | 1 | 23,350 | 14 | 46,701 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,351 | 14 | 46,702 |
Tags: brute force, implementation
Correct Solution:
```
n = int(input())
s = "NO"
b = list(list(map(str, input())) for i in range(n))
for i in range(n):
if (b[i][0]) == "O" and (b[i][1]) == "O":
b[i][0] = "+"
b[i][1] = "+"
s ="YES"
break
elif (b[i][3]) == "O" and (b[i][4]) == "O":
b[i][3] = "+"
b[i][4] = "+"
s = "YES"
break
if s == "YES":
print("YES")
for j in range (n):
print(b[j][0]+b[j][1]+b[j][2]+b[j][3]+b[j][4])
else:
print("NO")
``` | output | 1 | 23,351 | 14 | 46,703 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,352 | 14 | 46,704 |
Tags: brute force, implementation
Correct Solution:
```
t = int(input())
index = 0
d = []
asd = []
for i in range(t):
s = input()
d.append(s)
for i in d:
if i.split("|")[0] == "OO":
print("YES")
z = d.index(i)
asd.append(True)
break
if i.split("|")[1] == 'OO':
print("YES")
z = d.index(i)
asd.append(True)
index = 3
break
else:
asd.append(False)
if any(asd):
if index == 0:
dv = "++" + d[z][2:]
elif index == 3:
dv = d[z][0:3] + "++"
zzv = []
if t == 0:
s = 1
else:
s = t
for i in range(s):
if i == z:
zzv.append(dv)
else:
zzv.append(d[i])
for i in zzv:
print(i)
else:
print("NO")
``` | output | 1 | 23,352 | 14 | 46,705 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,353 | 14 | 46,706 |
Tags: brute force, implementation
Correct Solution:
```
n=int(input())
l=[]
for i in range(n):
x=input()
l.append(x)
f=0
for i in range(len(l)):
y=l[i].split('|')
if(y[0].count('O')==2):
f=1
l[i]=l[i].replace("OO","++",1)
break
if(y[1].count('O')==2):
f=1
l[i]=l[i].replace("OO","++",1)
break
else:
f=0
# print(l)
if(f==0):
print("NO")
else:
print("YES")
for i in l:
print(i)
``` | output | 1 | 23,353 | 14 | 46,707 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,354 | 14 | 46,708 |
Tags: brute force, implementation
Correct Solution:
```
rows = int(input())
config = [input() for x in range(rows)]
config = "\n".join(config)
ronfig = config.replace("OO", "++", 1)
if config != ronfig:
print ("YES")
print (ronfig)
else:
print ("NO")
``` | output | 1 | 23,354 | 14 | 46,709 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,355 | 14 | 46,710 |
Tags: brute force, implementation
Correct Solution:
```
# import sys
# sys.stdin = open('input.txt','r')
# sys.stdout = open('output.txt','w')
arr = []
flag = False
for _ in range(int(input())):
arr.append(input())
c=0
for i in arr:
if i[:2]=="OO":
arr[c]="++"+i[2:]
flag = True
break
elif i[-2:]=="OO":
arr[c]=i[:-2]+"++"
flag = True
break
c+=1
if (flag):
print("YES")
for j in arr:
print(j)
else:
print('NO')
``` | output | 1 | 23,355 | 14 | 46,711 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,356 | 14 | 46,712 |
Tags: brute force, implementation
Correct Solution:
```
n=int(input())
arr=[]
for i in range(n):
x,y=input().split("|")
arr.append(x)
arr.append(y)
for i in range(2*n):
if arr[i]=="OO":
ans="YES"
arr[i]="++"
break
else:
ans="NO"
print(ans)
if ans=="YES":
s=""
for i in range(2*n):
if i%2==0:
s+=arr[i]+"|"
else:
s+=arr[i]+"\n"
print(s.strip())
``` | output | 1 | 23,356 | 14 | 46,713 |
Provide tags and a correct Python 3 solution for this coding contest problem.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | instruction | 0 | 23,357 | 14 | 46,714 |
Tags: brute force, implementation
Correct Solution:
```
t=int(input())
l=[]
while(t>0):
t=t-1
n=input()
l.extend(n.split("|"))
c=-1
for i in range(len(l)):
if(l[i]=='OO'):
c=i
break
if(c==-1):
print("NO")
else:
print("YES")
for j in range(len(l)):
if(j%2==0):
if(c==j):
print("++",end="|")
else:
print(l[j],end="|")
else:
if(c==j):
print("++")
else:
print(l[j])
``` | output | 1 | 23,357 | 14 | 46,715 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
n=int(input())
a=[]
for i in range(n):
a.append(input())
for i in range(n):
if a[i][0]=='O' and a[i][1]=='O' :
a[i]='++|'+a[i][3:]
print('YES')
for j in a:
print(j)
exit(0)
if a[i][3]=='O' and a[i][4]=='O' :
a[i]=a[i][:2]+'|++'
print('YES')
for j in a:
print(j)
exit(0)
print('NO')
``` | instruction | 0 | 23,358 | 14 | 46,716 |
Yes | output | 1 | 23,358 | 14 | 46,717 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
x = int(input())
seat = []
seat2 = seat
for c in range(x):
seat.append(input())
a = 0
b = 0
t = []
for c in range(x):
if (seat[c][0] == "O" and seat[c][1] == "O"):
a = a+1
t.append(c)
break
elif (seat[c][3] == "O" and seat[c][4] == "O"):
b = b+1
t.append(c)
break
if a>0:
seat.insert(t[0], "++|" + seat[t[0]][3] + seat[t[0]][4])
del seat[t[0]+1]
print("YES")
for c in seat:
print(c)
elif b>0:
seat.insert(t[0], seat[t[0]][0] + seat[t[0]][1] + "|++")
del seat[t[0]+1]
print("YES")
for c in seat:
print(c)
else:
print("NO")
``` | instruction | 0 | 23,359 | 14 | 46,718 |
Yes | output | 1 | 23,359 | 14 | 46,719 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
n=int(input())
a=[]
flag=1
for _ in range(n):
a.append(list(input()))
for i in range(n):
if(a[i][0]==a[i][1]=='O'):
a[i][0]=a[i][1]='+'
flag=0
break
elif(a[i][3]==a[i][4]=='O'):
a[i][3]=a[i][4]='+'
flag=0
break
if(flag):
print('NO')
else:
print('YES')
for i in range(n):
for j in range(5):
print(a[i][j],end='')
print('')
``` | instruction | 0 | 23,360 | 14 | 46,720 |
Yes | output | 1 | 23,360 | 14 | 46,721 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
a=int(input())
b=[]
cnt=0
d=0
for i in range(a):
b.append(input())
for i in range(a):
if 'OO' in b[i]:
b[i]=b[i].replace('OO','++',1)
cnt=1
break
if cnt==1:
print("YES")
for i in range(a):
print(b[i])
else:
print("NO")
``` | instruction | 0 | 23,361 | 14 | 46,722 |
Yes | output | 1 | 23,361 | 14 | 46,723 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
n = int(input())
seats = [str(input()) for i in range(n)]
res = []
notMarked = True
for seat in seats:
temp = seat.split('|')
if((temp[0] == "oo" or temp[1] == "oo") and notMarked):
t = ""
if(temp[0] == "oo"):
t = "++|"+temp[1]
else:
t = temp[0] + "|++"
res.append(t)
notMarked = False
else:
res.append(seat)
for i in res:
print(i)
if(notMarked):
print("NO")
else:
print("YES")
for i in res:
print(i)
``` | instruction | 0 | 23,362 | 14 | 46,724 |
No | output | 1 | 23,362 | 14 | 46,725 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
n = int(input())
buf = []
res = False
for _ in range(n):
s =input()
if not res:
if s.startswith('OO'):
s = '++' + s[2:]
res = True
elif s.endswith('OO'):
s = s[:3] + '++'
res = True
buf.append(s)
print('YES' if res else 'NO')
print('\n'.join(buf))
``` | instruction | 0 | 23,363 | 14 | 46,726 |
No | output | 1 | 23,363 | 14 | 46,727 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
n = int(input())
flag = False
out = ""
for i in range(n):
txt = input()
if not flag:
if txt.find("OO") != -1:
flag = True
txt = txt.replace("OO", "++")
out += txt + "\n"
print("YES" if flag else "NO")
print(out)
``` | instruction | 0 | 23,364 | 14 | 46,728 |
No | output | 1 | 23,364 | 14 | 46,729 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has n rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input
The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of rows of seats in the bus.
Then, n lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next n lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Examples
Input
6
OO|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Output
YES
++|OX
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Input
4
XO|OX
XO|XX
OX|OX
XX|OX
Output
NO
Input
5
XX|XX
XX|XX
XO|OX
XO|OO
OX|XO
Output
YES
XX|XX
XX|XX
XO|OX
XO|++
OX|XO
Note
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX
Submitted Solution:
```
x=int(input())
j=0;lst=[]
for i in range(x):
v=input()
if v[0]+v[1]=='OO' or v[3]+v[4]=='OO':
j+=1
if j==1:
if v[0]+v[1]=='OO':
v='++'+v[2:]
if v[3]+v[4]=='OO':
v=v[:3]+'++'
lst.append(v)
if j>0 :
print('YES')
for h in range(x):
print(lst[h])
else:
print('NO')
``` | instruction | 0 | 23,365 | 14 | 46,730 |
No | output | 1 | 23,365 | 14 | 46,731 |
Provide tags and a correct Python 3 solution for this coding contest problem.
— This is not playing but duty as allies of justice, Nii-chan!
— Not allies but justice itself, Onii-chan!
With hands joined, go everywhere at a speed faster than our thoughts! This time, the Fire Sisters — Karen and Tsukihi — is heading for somewhere they've never reached — water-surrounded islands!
There are three clusters of islands, conveniently coloured red, blue and purple. The clusters consist of a, b and c distinct islands respectively.
Bridges have been built between some (possibly all or none) of the islands. A bridge bidirectionally connects two different islands and has length 1. For any two islands of the same colour, either they shouldn't be reached from each other through bridges, or the shortest distance between them is at least 3, apparently in order to prevent oddities from spreading quickly inside a cluster.
The Fire Sisters are ready for the unknown, but they'd also like to test your courage. And you're here to figure out the number of different ways to build all bridges under the constraints, and give the answer modulo 998 244 353. Two ways are considered different if a pair of islands exist, such that there's a bridge between them in one of them, but not in the other.
Input
The first and only line of input contains three space-separated integers a, b and c (1 ≤ a, b, c ≤ 5 000) — the number of islands in the red, blue and purple clusters, respectively.
Output
Output one line containing an integer — the number of different ways to build bridges, modulo 998 244 353.
Examples
Input
1 1 1
Output
8
Input
1 2 2
Output
63
Input
1 3 5
Output
3264
Input
6 2 9
Output
813023575
Note
In the first example, there are 3 bridges that can possibly be built, and no setup of bridges violates the restrictions. Thus the answer is 23 = 8.
In the second example, the upper two structures in the figure below are instances of valid ones, while the lower two are invalid due to the blue and purple clusters, respectively.
<image> | instruction | 0 | 23,462 | 14 | 46,924 |
Tags: combinatorics, dp, math
Correct Solution:
```
a, b, c = map(int, input().split())
N = max(a, b, c)
mod = 998244353
def mul(a, b):
return (a * b) % mod
from itertools import accumulate
fact = [1] + list(accumulate(range(1, N + 1), mul))
rfact = [0] * (N + 1)
rfact[-1] = pow(fact[-1], mod - 2, mod)
for i in range(N - 1, -1, -1):
rfact[i] = mul(rfact[i + 1], i + 1)
def C(n, k):
return mul(mul(fact[n], rfact[k]), rfact[n - k])
def get(x, y):
ans = 0
for n in range(min(x, y) + 1):
ans += mul(
mul(C(x, n), C(y, n)), fact[n])
return ans
print(mul(
mul(get(a, b), get(a, c)), get(b, c)))
``` | output | 1 | 23,462 | 14 | 46,925 |
Provide tags and a correct Python 3 solution for this coding contest problem.
— This is not playing but duty as allies of justice, Nii-chan!
— Not allies but justice itself, Onii-chan!
With hands joined, go everywhere at a speed faster than our thoughts! This time, the Fire Sisters — Karen and Tsukihi — is heading for somewhere they've never reached — water-surrounded islands!
There are three clusters of islands, conveniently coloured red, blue and purple. The clusters consist of a, b and c distinct islands respectively.
Bridges have been built between some (possibly all or none) of the islands. A bridge bidirectionally connects two different islands and has length 1. For any two islands of the same colour, either they shouldn't be reached from each other through bridges, or the shortest distance between them is at least 3, apparently in order to prevent oddities from spreading quickly inside a cluster.
The Fire Sisters are ready for the unknown, but they'd also like to test your courage. And you're here to figure out the number of different ways to build all bridges under the constraints, and give the answer modulo 998 244 353. Two ways are considered different if a pair of islands exist, such that there's a bridge between them in one of them, but not in the other.
Input
The first and only line of input contains three space-separated integers a, b and c (1 ≤ a, b, c ≤ 5 000) — the number of islands in the red, blue and purple clusters, respectively.
Output
Output one line containing an integer — the number of different ways to build bridges, modulo 998 244 353.
Examples
Input
1 1 1
Output
8
Input
1 2 2
Output
63
Input
1 3 5
Output
3264
Input
6 2 9
Output
813023575
Note
In the first example, there are 3 bridges that can possibly be built, and no setup of bridges violates the restrictions. Thus the answer is 23 = 8.
In the second example, the upper two structures in the figure below are instances of valid ones, while the lower two are invalid due to the blue and purple clusters, respectively.
<image> | instruction | 0 | 23,463 | 14 | 46,926 |
Tags: combinatorics, dp, math
Correct Solution:
```
def extendedEuclidean(a,b,x,y):
if b==0:
return a,1,0
d,x1,y1 = extendedEuclidean(b,a%b,x,y)
x,y = y1,x1-y1*(a//b)
return d,x,y
a,b,c = map(int,input().split())
f = [1]*(1+max(a,b,c))
fi = [1]*(1+max(a,b,c))
m = 998244353
for i in range(1,1+max(a,b,c)):
x = (f[i-1]*i)%m
f[i] = x
d,x,y = extendedEuclidean(x,m,1,1)
fi[i] = x%m
ab=0
bc=0
ca=0
for i in range(min(a,b)+1):
ab+=(f[a]*fi[a-i]*f[b]*fi[b-i]*fi[i])%m
for i in range(min(b,c)+1):
bc+=(f[c]*fi[c-i]*f[b]*fi[b-i]*fi[i])%m
for i in range(min(a,c)+1):
ca+=(f[a]*fi[a-i]*f[c]*fi[c-i]*fi[i])%m
print((ab*bc*ca)%m)
``` | output | 1 | 23,463 | 14 | 46,927 |
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