message stringlengths 2 48.6k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 318 108k | cluster float64 8 8 | __index_level_0__ int64 636 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
Vladimir wants to modernize partitions in his office. To make the office more comfortable he decided to remove a partition and plant several bamboos in a row. He thinks it would be nice if there are n bamboos in a row, and the i-th from the left is ai meters high.
Vladimir has just planted n bamboos in a row, each of which has height 0 meters right now, but they grow 1 meter each day. In order to make the partition nice Vladimir can cut each bamboo once at any height (no greater that the height of the bamboo), and then the bamboo will stop growing.
Vladimir wants to check the bamboos each d days (i.e. d days after he planted, then after 2d days and so on), and cut the bamboos that reached the required height. Vladimir wants the total length of bamboo parts he will cut off to be no greater than k meters.
What is the maximum value d he can choose so that he can achieve what he wants without cutting off more than k meters of bamboo?
Input
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1011) — the number of bamboos and the maximum total length of cut parts, in meters.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the required heights of bamboos, in meters.
Output
Print a single integer — the maximum value of d such that Vladimir can reach his goal.
Examples
Input
3 4
1 3 5
Output
3
Input
3 40
10 30 50
Output
32
Note
In the first example Vladimir can check bamboos each 3 days. Then he will cut the first and the second bamboos after 3 days, and the third bamboo after 6 days. The total length of cut parts is 2 + 0 + 1 = 3 meters. | instruction | 0 | 59,382 | 8 | 118,764 |
Tags: brute force, data structures, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
import itertools
import time
unfold = itertools.chain.from_iterable
t = time.time() + 1900
def jumps(a):
d = speedup
if time.time() > t:
print(anss)
exit(0)
try:
while True:
c = (a + d - 1) // d
d = (a + c - 2) // (c - 1)
yield d
except:
return
# while d < a - 1:
# c = (a + d - 1) // d
# d = (a + c - 2) // (c - 1)
# yield d
def calc(d):
return (d - 1) * len(a) - sum(i % d for i in a)
def ans1(D):
for d in D:
d -= 1
if calc(d) <= k:
return d
return 1
def ans():
for d, pd in zip(D, D[1:]):
if time.time() > t:
return anss
d -= 1
cd = calc(d)
if cd <= k:
return d
if d == pd:
continue
cpd = calc(pd)
if (d - pd) * (cd - cpd) >= ((cd - k) * (d - pd) + cd - cpd - 1):
return d - ((cd - k) * (d - pd) + cd - cpd - 1) // (cd - cpd)
return anss
n, k = map(int, input().split())
a = list(map(int, input().split()))
speedup = int(2 * max(a) ** 0.55)
lb = int(max(a) ** 0.1 + 10)
a = [i - 1 for i in a]
anss = ans1(sorted(range(2, lb + 1), reverse=True))
if anss <= lb / 2:
print(anss)
exit(0)
a = [i + 1 for i in a]
D = sorted(set(range(lb + 1, speedup + 1)).union(set([speedup, max(a) + k + 1]).union(set(
unfold(map(jumps, a))))), reverse=True)
a = [i - 1 for i in a]
print(int(ans()))
``` | output | 1 | 59,382 | 8 | 118,765 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vladimir wants to modernize partitions in his office. To make the office more comfortable he decided to remove a partition and plant several bamboos in a row. He thinks it would be nice if there are n bamboos in a row, and the i-th from the left is ai meters high.
Vladimir has just planted n bamboos in a row, each of which has height 0 meters right now, but they grow 1 meter each day. In order to make the partition nice Vladimir can cut each bamboo once at any height (no greater that the height of the bamboo), and then the bamboo will stop growing.
Vladimir wants to check the bamboos each d days (i.e. d days after he planted, then after 2d days and so on), and cut the bamboos that reached the required height. Vladimir wants the total length of bamboo parts he will cut off to be no greater than k meters.
What is the maximum value d he can choose so that he can achieve what he wants without cutting off more than k meters of bamboo?
Input
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1011) — the number of bamboos and the maximum total length of cut parts, in meters.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the required heights of bamboos, in meters.
Output
Print a single integer — the maximum value of d such that Vladimir can reach his goal.
Examples
Input
3 4
1 3 5
Output
3
Input
3 40
10 30 50
Output
32
Note
In the first example Vladimir can check bamboos each 3 days. Then he will cut the first and the second bamboos after 3 days, and the third bamboo after 6 days. The total length of cut parts is 2 + 0 + 1 = 3 meters. | instruction | 0 | 59,383 | 8 | 118,766 |
Tags: brute force, data structures, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
import itertools
unfold = itertools.chain.from_iterable
speedup = 400000
def jumps(a):
d = speedup
while d < a - 1:
c = (a + d - 1) // d
d = (a + c - 2) // (c - 1)
yield d
def calc(d):
return sum(d - 1 - (i - 1) % d for i in a)
def ans():
for d, pd in zip(D, D[1:]):
d -= 1
cd = calc(d)
if cd <= k:
return d
if d == pd:
continue
cpd = calc(pd)
if d - pd >= (cd - k) * (d - pd) / (cd - cpd):
return d - (cd - k) * (d - pd) / (cd - cpd)
return 1
n, k = map(int, input().split())
a = list(map(int, input().split()))
#speedup = min(speedup, 2 * int(max(a) ** 0.5))
D = sorted(set(range(1, speedup + 1)).union([max(a) + k + 1]).union(set(
unfold(map(jumps, a)))), reverse=True)
print('%d' % ans())
``` | output | 1 | 59,383 | 8 | 118,767 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Vladimir wants to modernize partitions in his office. To make the office more comfortable he decided to remove a partition and plant several bamboos in a row. He thinks it would be nice if there are n bamboos in a row, and the i-th from the left is ai meters high.
Vladimir has just planted n bamboos in a row, each of which has height 0 meters right now, but they grow 1 meter each day. In order to make the partition nice Vladimir can cut each bamboo once at any height (no greater that the height of the bamboo), and then the bamboo will stop growing.
Vladimir wants to check the bamboos each d days (i.e. d days after he planted, then after 2d days and so on), and cut the bamboos that reached the required height. Vladimir wants the total length of bamboo parts he will cut off to be no greater than k meters.
What is the maximum value d he can choose so that he can achieve what he wants without cutting off more than k meters of bamboo?
Input
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1011) — the number of bamboos and the maximum total length of cut parts, in meters.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the required heights of bamboos, in meters.
Output
Print a single integer — the maximum value of d such that Vladimir can reach his goal.
Examples
Input
3 4
1 3 5
Output
3
Input
3 40
10 30 50
Output
32
Note
In the first example Vladimir can check bamboos each 3 days. Then he will cut the first and the second bamboos after 3 days, and the third bamboo after 6 days. The total length of cut parts is 2 + 0 + 1 = 3 meters. | instruction | 0 | 59,384 | 8 | 118,768 |
Tags: brute force, data structures, implementation, math, number theory, sortings, two pointers
Correct Solution:
```
import itertools
unfold = itertools.chain.from_iterable
speedup = 400000
def jumps(a):
d = speedup
while d < a - 1:
c = (a + d - 1) // d
d = (a + c - 2) // (c - 1)
yield d
def calc(d):
return sum(d - 1 - (i - 1) % d for i in a)
def ans():
for d, pd in zip(D, D[1:]):
d -= 1
cd = calc(d)
if cd <= k:
return d
if d == pd:
continue
cpd = calc(pd)
if d - pd >= (cd - k) * (d - pd) / (cd - cpd):
return d - (cd - k) * (d - pd) / (cd - cpd)
return 1
n, k = map(int, input().split())
a = list(map(int, input().split()))
speedup = min(speedup, 2 * int(max(a) ** 0.5))
D = sorted(set(range(1, speedup + 1)).union([max(a) + k + 1]).union(set(
unfold(map(jumps, a)))), reverse=True)
print('%d' % ans())
``` | output | 1 | 59,384 | 8 | 118,769 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vladimir wants to modernize partitions in his office. To make the office more comfortable he decided to remove a partition and plant several bamboos in a row. He thinks it would be nice if there are n bamboos in a row, and the i-th from the left is ai meters high.
Vladimir has just planted n bamboos in a row, each of which has height 0 meters right now, but they grow 1 meter each day. In order to make the partition nice Vladimir can cut each bamboo once at any height (no greater that the height of the bamboo), and then the bamboo will stop growing.
Vladimir wants to check the bamboos each d days (i.e. d days after he planted, then after 2d days and so on), and cut the bamboos that reached the required height. Vladimir wants the total length of bamboo parts he will cut off to be no greater than k meters.
What is the maximum value d he can choose so that he can achieve what he wants without cutting off more than k meters of bamboo?
Input
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1011) — the number of bamboos and the maximum total length of cut parts, in meters.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the required heights of bamboos, in meters.
Output
Print a single integer — the maximum value of d such that Vladimir can reach his goal.
Examples
Input
3 4
1 3 5
Output
3
Input
3 40
10 30 50
Output
32
Note
In the first example Vladimir can check bamboos each 3 days. Then he will cut the first and the second bamboos after 3 days, and the third bamboo after 6 days. The total length of cut parts is 2 + 0 + 1 = 3 meters.
Submitted Solution:
```
import itertools
import time
unfold = itertools.chain.from_iterable
t = time.time() + 1900
def jumps(a):
d = speedup
if time.time() > t:
print(anss)
exit(0)
try:
while True:
c = (a + d - 1) // d
d = (a + c - 2) // (c - 1)
yield d
except:
return
# while d < a - 1:
# c = (a + d - 1) // d
# d = (a + c - 2) // (c - 1)
# yield d
def calc(d):
return (d - 1) * len(a) - sum(i % d for i in a)
def ans1(D):
for d in D:
d -= 1
if calc(d) <= k:
return d
return 1
def ans():
for d, pd in zip(D, D[1:]):
if time.time() > t:
return anss
d -= 1
cd = calc(d)
if cd <= k:
return d
if d == pd:
continue
cpd = calc(pd)
if (d - pd) * (cd - cpd) >= ((cd - k) * (d - pd) + cd - cpd - 1):
return d - ((cd - k) * (d - pd) + cd - cpd - 1) // (cd - cpd)
return anss
n, k = map(int, input().split())
a = list(map(int, input().split()))
speedup = int(2 * max(a) ** 0.55)
lb = int(max(a) ** 0.5 + 10)
a = [i - 1 for i in a]
anss = ans1(sorted(range(2, lb + 1), reverse=True))
if anss <= lb ** 2:
print(anss)
exit(0)
a = [i + 1 for i in a]
D = sorted(set(range(lb + 1, speedup + 1)).union(set([max(a) + k + 1]).union(set(
unfold(map(jumps, a))))), reverse=True)
a = [i - 1 for i in a]
print(int(ans()))
``` | instruction | 0 | 59,385 | 8 | 118,770 |
No | output | 1 | 59,385 | 8 | 118,771 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vladimir wants to modernize partitions in his office. To make the office more comfortable he decided to remove a partition and plant several bamboos in a row. He thinks it would be nice if there are n bamboos in a row, and the i-th from the left is ai meters high.
Vladimir has just planted n bamboos in a row, each of which has height 0 meters right now, but they grow 1 meter each day. In order to make the partition nice Vladimir can cut each bamboo once at any height (no greater that the height of the bamboo), and then the bamboo will stop growing.
Vladimir wants to check the bamboos each d days (i.e. d days after he planted, then after 2d days and so on), and cut the bamboos that reached the required height. Vladimir wants the total length of bamboo parts he will cut off to be no greater than k meters.
What is the maximum value d he can choose so that he can achieve what he wants without cutting off more than k meters of bamboo?
Input
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1011) — the number of bamboos and the maximum total length of cut parts, in meters.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the required heights of bamboos, in meters.
Output
Print a single integer — the maximum value of d such that Vladimir can reach his goal.
Examples
Input
3 4
1 3 5
Output
3
Input
3 40
10 30 50
Output
32
Note
In the first example Vladimir can check bamboos each 3 days. Then he will cut the first and the second bamboos after 3 days, and the third bamboo after 6 days. The total length of cut parts is 2 + 0 + 1 = 3 meters.
Submitted Solution:
```
def f(l, d):
return ((l + d - 1) // d) * d - l
def main():
n, k = map(int, input().split())
arr = list(map(int, input().split()))
left = 0
right = int(1e18)
while(left + 1 < right) :
med = (left + right) // 2
if (sum(f(i, med) for i in arr) <= k):
left = med
else:
right = med
ans = left
from math import log, ceil
from random import randrange
for t in range(500000, 1, -500):
offs = int(ceil(log(t, 2)))
x = randrange(ans + 1, ans + offs + 1)
if (sum(f(i, x) for i in arr) <= k):
ans = x
print(ans)
main()
``` | instruction | 0 | 59,386 | 8 | 118,772 |
No | output | 1 | 59,386 | 8 | 118,773 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vladimir wants to modernize partitions in his office. To make the office more comfortable he decided to remove a partition and plant several bamboos in a row. He thinks it would be nice if there are n bamboos in a row, and the i-th from the left is ai meters high.
Vladimir has just planted n bamboos in a row, each of which has height 0 meters right now, but they grow 1 meter each day. In order to make the partition nice Vladimir can cut each bamboo once at any height (no greater that the height of the bamboo), and then the bamboo will stop growing.
Vladimir wants to check the bamboos each d days (i.e. d days after he planted, then after 2d days and so on), and cut the bamboos that reached the required height. Vladimir wants the total length of bamboo parts he will cut off to be no greater than k meters.
What is the maximum value d he can choose so that he can achieve what he wants without cutting off more than k meters of bamboo?
Input
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1011) — the number of bamboos and the maximum total length of cut parts, in meters.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the required heights of bamboos, in meters.
Output
Print a single integer — the maximum value of d such that Vladimir can reach his goal.
Examples
Input
3 4
1 3 5
Output
3
Input
3 40
10 30 50
Output
32
Note
In the first example Vladimir can check bamboos each 3 days. Then he will cut the first and the second bamboos after 3 days, and the third bamboo after 6 days. The total length of cut parts is 2 + 0 + 1 = 3 meters.
Submitted Solution:
```
def f(l, d):
return ((l + d - 1) // d) * d - l
n, k = map(int, input().split())
arr = list(map(int, input().split()))
left = 0
right = int(1e18)
while(left + 1 < right) :
med = (left + right) // 2
if (sum(f(i, med) for i in arr) <= k):
left = med
else:
right = med
ans = left
from math import log, ceil
from random import randrange
for t in range(5000, 1, -50):
offs = int(ceil(log(t, 2)))
x = randrange(ans + 1, ans + offs + 1)
if (sum(f(i, x) for i in arr) <= k):
ans = x
print(ans)
``` | instruction | 0 | 59,387 | 8 | 118,774 |
No | output | 1 | 59,387 | 8 | 118,775 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Vladimir wants to modernize partitions in his office. To make the office more comfortable he decided to remove a partition and plant several bamboos in a row. He thinks it would be nice if there are n bamboos in a row, and the i-th from the left is ai meters high.
Vladimir has just planted n bamboos in a row, each of which has height 0 meters right now, but they grow 1 meter each day. In order to make the partition nice Vladimir can cut each bamboo once at any height (no greater that the height of the bamboo), and then the bamboo will stop growing.
Vladimir wants to check the bamboos each d days (i.e. d days after he planted, then after 2d days and so on), and cut the bamboos that reached the required height. Vladimir wants the total length of bamboo parts he will cut off to be no greater than k meters.
What is the maximum value d he can choose so that he can achieve what he wants without cutting off more than k meters of bamboo?
Input
The first line contains two integers n and k (1 ≤ n ≤ 100, 1 ≤ k ≤ 1011) — the number of bamboos and the maximum total length of cut parts, in meters.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — the required heights of bamboos, in meters.
Output
Print a single integer — the maximum value of d such that Vladimir can reach his goal.
Examples
Input
3 4
1 3 5
Output
3
Input
3 40
10 30 50
Output
32
Note
In the first example Vladimir can check bamboos each 3 days. Then he will cut the first and the second bamboos after 3 days, and the third bamboo after 6 days. The total length of cut parts is 2 + 0 + 1 = 3 meters.
Submitted Solution:
```
def f(l, d):
return ((l + d - 1) // d) * d - l
def main():
n, k = map(int, input().split())
arr = list(map(int, input().split()))
left = 0
right = int(1e18)
while(left + 1 < right) :
med = (left + right) // 2
if (sum(f(i, med) for i in arr) <= k):
left = med
else:
right = med
ans = left
from math import log, ceil
from random import randrange
cur = 1e11
while(cur):
for i in range(500):
offs = cur
x = randrange(ans + 1, ans + offs + 1)
if (sum(f(i, x) for i in arr) <= k):
ans = x
cur = cur // 2
for t in range(5000000, 1, -2500):
offs = int(ceil(log(t, 2)))
x = randrange(ans + 1, ans + offs + 1)
if (sum(f(i, x) for i in arr) <= k):
ans = x
print(ans)
main()
``` | instruction | 0 | 59,388 | 8 | 118,776 |
No | output | 1 | 59,388 | 8 | 118,777 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,593 | 8 | 119,186 |
"Correct Solution:
```
from sys import stdin
readline = stdin.readline
while True:
old_room_num = int(readline())
if old_room_num == 0:
break
octal = oct(old_room_num)[2:]
new_room_num = octal.translate(str.maketrans('4567', '5789'))
print(new_room_num)
``` | output | 1 | 59,593 | 8 | 119,187 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,594 | 8 | 119,188 |
"Correct Solution:
```
# AOJ 0208 Room Numbers of a Hospital
# Python3 2018.6.23 bal4u
# 8進数に変換して、01234567を01235789に置き換える
dic = {'0':'0','1':'1','2':'2','3':'3','4':'5','5':'7','6':'8','7':'9'}
while 1:
n = int(input())
if n == 0: break
s = list(format(n, 'o'))
for i in range(len(s)): s[i] = dic[s[i]]
print(*s, sep='')
``` | output | 1 | 59,594 | 8 | 119,189 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,595 | 8 | 119,190 |
"Correct Solution:
```
while 1:
c=input()
if c=="0":break
print(format(int(c),'o').translate(str.maketrans({"4":"5","5":"7","6":"8","7":"9"})))
``` | output | 1 | 59,595 | 8 | 119,191 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,596 | 8 | 119,192 |
"Correct Solution:
```
from sys import stdin
l=stdin.readlines()
for i in l[:-1]:print(oct(int(i))[2:].translate(str.maketrans("4567","5789")))
``` | output | 1 | 59,596 | 8 | 119,193 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,597 | 8 | 119,194 |
"Correct Solution:
```
from sys import stdin
while(True):
n = int(stdin.readline())
if not n:
break
print(str(oct(n))[2:].translate(str.maketrans('4567','5789')))
``` | output | 1 | 59,597 | 8 | 119,195 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,598 | 8 | 119,196 |
"Correct Solution:
```
while(1):
n = int(input())
if n == 0:
break
print(oct(n)[2:].translate(str.maketrans('4567', '5789')))
``` | output | 1 | 59,598 | 8 | 119,197 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,599 | 8 | 119,198 |
"Correct Solution:
```
while True:
n = int(input())
if n == 0:
break
print(str(oct(n)[2:]).translate(str.maketrans("4567", "5789")))
``` | output | 1 | 59,599 | 8 | 119,199 |
Provide a correct Python 3 solution for this coding contest problem.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3 | instruction | 0 | 59,600 | 8 | 119,200 |
"Correct Solution:
```
while 4:
n=int(input())
if n==0:break
print(oct(n)[2:].translate(str.maketrans("4567","5789")))
``` | output | 1 | 59,600 | 8 | 119,201 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
def testcase_ends():
n = int(input())
if n == 0:
return 1
n = oct(n)[2:]
n = n.replace('7', '9')
n = n.replace('6', '8')
n = n.replace('5', '7')
n = n.replace('4', '5')
print(n)
return 0
def main():
while not testcase_ends():
pass
if __name__ == '__main__':
main()
``` | instruction | 0 | 59,601 | 8 | 119,202 |
Yes | output | 1 | 59,601 | 8 | 119,203 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
while True:
a=int(input())
if a==0:
break
ans=oct(a)[2:]
print(ans.translate(str.maketrans({"4":"5","5":"7","6":"8","7":"9"})))
``` | instruction | 0 | 59,602 | 8 | 119,204 |
Yes | output | 1 | 59,602 | 8 | 119,205 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
import sys
l=sys.stdin.readlines()
for i in l[:-1]:print(oct(int(i))[2:].translate(str.maketrans("4567","5789")))
``` | instruction | 0 | 59,603 | 8 | 119,206 |
Yes | output | 1 | 59,603 | 8 | 119,207 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
# AOJ 0208 Room Numbers of a Hospital
# Python3 2018.6.23 bal4u
# 8進数に変換して、01234567を01235789に置き換える
tbl = ('0','1','2','3','5','7','8','9')
while 1:
n = int(input())
if n == 0: break
s = format(n, 'o')
ans = ''
for i in range(len(s)): ans += tbl[int(s[i])]
print(ans)
``` | instruction | 0 | 59,604 | 8 | 119,208 |
Yes | output | 1 | 59,604 | 8 | 119,209 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
#Room Numbers of a Hospital
#http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0208
#coding: utf-8
num = 1;
sub = 0;
while 0 != num:
num = int(input());
f = 0;
if num == 0:
break;
for i in range(1,num+1):
sub = i % 10;
if 4 == sub:
f += 1;
elif 6 == sub:
f += 1;
elif 4 == f % 10:
f += 1;
elif 6 == f % 10:
f += 1;
f += 1;
print(f);
``` | instruction | 0 | 59,605 | 8 | 119,210 |
No | output | 1 | 59,605 | 8 | 119,211 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
while True:
n = input()
if n == '0':
break
if n[-1] in ('7', '8', '9'):
print(int(n)-((len(n)-1)*2+2))
elif n[-1] == '5':
print(int(n)-((len(n)-1)*2+1))
else:
print(int(n)-(len(n)-1)*2)
``` | instruction | 0 | 59,606 | 8 | 119,212 |
No | output | 1 | 59,606 | 8 | 119,213 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
while True:
n = int(input())
if n == 0:
break
cnt = 1
for i in range(1, n+1):
tmp = str(cnt)
while '4' in tmp or '6' in tmp:
if '4' in tmp and '6' in tmp:
l = min(tmp.find('4'), tmp.find('6'))
r = len(tmp[l+1:])
cnt += 1*pow(10, r)
elif '4' in tmp:
l = tmp.find('4')
r = len(tmp[l+1:])
cnt += 1*pow(10, r)
else:
l = tmp.find('6')
r = len(tmp[l+1:])
cnt += 1*pow(10, r)
tmp = str(cnt)
cnt += 1
print(cnt-1)
``` | instruction | 0 | 59,607 | 8 | 119,214 |
No | output | 1 | 59,607 | 8 | 119,215 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
An architect, Devunky, who lives in Water Deven, has been asked to renovate an old large hospital.
In some countries, people don't want to use numbers that are disliked as numerophobia (4 and 9 are famous in Japan). However, the room numbers in this hospital were numbered from 1 regardless of the number of numerophobia.
Mr. Devunky, who was worried about it, renumbered the room with the numbers excluding "4" and "6", which are the numerophobia of Water Devon, before all the equipment and beds were replaced. However, since the replacement work was planned with the old room number, it is necessary to convert the old room number to the new room number to ensure that the rest of the work is done. Mr. Devunky, who is not good at calculations, is surprised to notice this.
For such Mr. Devunky, please create a program that inputs the old room number and outputs the corresponding new room number.
The correspondence table of room numbers up to the 15th is as follows.
Old room number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |- -| --- | --- | ---
New room number | 1 | 2 | 3 | 5 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 15 | 17 | 18 | 19
Input
A sequence of multiple datasets is given as input. The end of the input is indicated by a single line of zeros. For each dataset, the integer n (1 ≤ n ≤ 1,000,000,000) representing the old room number is given on one line.
The number of datasets does not exceed 30000.
Output
Outputs the new room number on one line for each input dataset.
Example
Input
15
100
1000000000
3
0
Output
19
155
9358757000
3
Submitted Solution:
```
while(1):print(oct(n)[2:].translate(str.maketrans('4567', '5789')))
``` | instruction | 0 | 59,608 | 8 | 119,216 |
No | output | 1 | 59,608 | 8 | 119,217 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,794 | 8 | 119,588 |
Tags: math
Correct Solution:
```
from math import gcd
def main():
n = int(input())
aa = [int(a) for a in input().split()]
x = max(aa)
z = x - aa[0]
if z == 0:
z = x - aa[1]
for a in aa:
if a != x:
z = gcd(z, x - a)
y = 0
for a in aa:
y = y + (x-a)//z
print(y, z)
if __name__ == "__main__":
main()
``` | output | 1 | 59,794 | 8 | 119,589 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,795 | 8 | 119,590 |
Tags: math
Correct Solution:
```
#Problem H - Swords
def resto(a, b):
if (a == 0 ):
return b
else:
return resto (b % a, a)
n = int(input())
entrada = [int(i) for i in input().split(' ')]
x = 0
x = max(entrada)
z = 0
for i in entrada:
z = resto(z, x - i)
y = 0
for i in entrada:
y += (x - i)// z
print(y, z, sep=' ')
``` | output | 1 | 59,795 | 8 | 119,591 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,796 | 8 | 119,592 |
Tags: math
Correct Solution:
```
from collections import deque
import sys
import math
def inp():
return sys.stdin.readline().strip()
n=int(inp())
a=list(map(int,inp().split()))
x=max(a)
b=[x-i for i in a]
b.sort()
b=b[1:]
gcd=b[0]
for i in range(1,len(b)):
gcd=math.gcd(b[i],gcd)
y=sum(i//gcd for i in b)
print(y,gcd)
``` | output | 1 | 59,796 | 8 | 119,593 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,797 | 8 | 119,594 |
Tags: math
Correct Solution:
```
n = int(input())
l1 = list(map(int, input().split()))
maxii = max(l1)
l2 = []
for i in range(len(l1)):
if maxii - l1[i] != 0:
l2.append(maxii - l1[i])
if len(l2) >1:
def find_gcd(x, y):
while (y):
x, y = y, x % y
return x
num1 = l2[0]
num2 = l2[1]
gcd = find_gcd(num1, num2)
for i in range(2, len(l2)):
gcd = find_gcd(gcd, l2[i])
# print(gcd)
else:
gcd = l2[0]
# print(gcd)
zz = sum(l2)
print(zz//gcd, gcd)
``` | output | 1 | 59,797 | 8 | 119,595 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,798 | 8 | 119,596 |
Tags: math
Correct Solution:
```
def gcd(a,b):
if(b==0):
return a
return gcd(b,a%b)
n=int(input())
a=list(map(int,input().split()))
maxe=0
for e in a:
maxe=max(maxe,e)
a.sort()
z=maxe-a[0]
for e in a:
if(e!=maxe):
z=gcd(z,maxe-e)
y=0
for e in a:
y+=(maxe-e)/z
y=int(y)
print(y,z,end=' ')
``` | output | 1 | 59,798 | 8 | 119,597 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,799 | 8 | 119,598 |
Tags: math
Correct Solution:
```
from math import gcd as gcd
n = int(input())
a = [int(i) for i in input().split()]
m = max(a)
y = 0
g = 0
for i in a:
g = gcd(g, m - i)
for i in a:
if i != m:
y += (m - i) // g
print(int(y), int(g))
``` | output | 1 | 59,799 | 8 | 119,599 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,800 | 8 | 119,600 |
Tags: math
Correct Solution:
```
def STR(): return list(input())
def INT(): return int(input())
def MAP(): return map(int, input().split())
def MAP2():return map(float,input().split())
def LIST(): return list(map(int, input().split()))
def STRING(): return input()
import string
import sys
from heapq import heappop , heappush
from bisect import *
from collections import deque , Counter , defaultdict
from math import *
from itertools import permutations , accumulate
dx = [-1 , 1 , 0 , 0 ]
dy = [0 , 0 , 1 , - 1]
#visited = [[False for i in range(m)] for j in range(n)]
#sys.stdin = open(r'input.txt' , 'r')
#sys.stdout = open(r'output.txt' , 'w')
#for tt in range(INT()):
#CODE
def gcd(a , b):
if b == 0 :
return a
return gcd(b , a % b)
n = INT()
arr = LIST()
mx = max(arr)
for i in range(n):
arr[i] = mx - arr[i]
g = gcd(arr[0] , arr[1])
for i in range(2 , n):
g = gcd(g , arr[i])
cnt = 0
for i in range(n):
cnt += arr[i] // g
print(cnt , g)
``` | output | 1 | 59,800 | 8 | 119,601 |
Provide tags and a correct Python 3 solution for this coding contest problem.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type. | instruction | 0 | 59,801 | 8 | 119,602 |
Tags: math
Correct Solution:
```
import math
n=int(input())
ar=list(map(int,input().split()))
z=abs(ar[1]-ar[0])
ma=max(ar[0],ar[1])
su=ar[0]+ar[1]
for i in range(2,n):
z=math.gcd(z,abs(ar[i]-ar[i-1]))
su+=ar[i]
if(ar[i]>ma):
ma=ar[i]
print(abs(-(n*ma-su)//z),z)
``` | output | 1 | 59,801 | 8 | 119,603 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
from sys import stdin, stdout
import math
n = int(stdin.readline())
arr = [int(x) for x in stdin.readline().split()]
res = 0
for i in range(1,len(arr)):
res = math.gcd(res, arr[i]-arr[i-1])
maxi = max(arr)
sumi = sum(arr)
z = res
y = int(((maxi*n)-sumi)/res)
stdout.write(str(y) + ' ' + str(z))
``` | instruction | 0 | 59,802 | 8 | 119,604 |
Yes | output | 1 | 59,802 | 8 | 119,605 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
from math import gcd
n = int(input())
a = list(map(int, input().split()))
maxm = max(a)
li = []
for i in range(n):
x = maxm - a[i]
if x != 0:
li.append(x)
g = li[0]
for x in li:
g = gcd(g, x)
y = 0
for x in li:
y += x // g
print(y, g)
``` | instruction | 0 | 59,803 | 8 | 119,606 |
Yes | output | 1 | 59,803 | 8 | 119,607 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
import sys
input = lambda: sys.stdin.readline().strip()
from math import gcd
def lcm(a, b):
return (a*b)//gcd(a, b)
n = int(input())
ls = list(map(int, input().split()))
M = max(ls)
ls = [(M-i) for i in ls if i!=M]
g = ls[0]
for i in ls:
g = gcd(g, i)
l = 0
for i in ls:
l+=i//g
print(l, g)
``` | instruction | 0 | 59,804 | 8 | 119,608 |
Yes | output | 1 | 59,804 | 8 | 119,609 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
import math
n=int(input())
arr=list(map(int,input().split()))
sum=sum(arr)
m=max(arr)
i=0
while i<n:
arr[i]=m-arr[i]
i+=1
arr1=list(set(arr))
b=0
for a in arr1:
if a!=0:
b=math.gcd(a,b)
count=0
for a in arr:
count+=a//b
print(str(count)+' '+str(b))
``` | instruction | 0 | 59,805 | 8 | 119,610 |
Yes | output | 1 | 59,805 | 8 | 119,611 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
def gcd(a,b):
if(b==0):
return a
elif(a==0):
return 0
else:
return gcd(b,a%b)
n=int(input())
a=list(map(int,input().split()))
m=max(a)
for i in range(0,n):
a[i]=m-a[i]
s=gcd(a[0],a[1])
f=0
for i in range(2,n):
s=gcd(s,a[i])
if(s==0):
print(0,0)
else:
for i in range(0,n):
f+=(a[i]//s)
print(f,s)
``` | instruction | 0 | 59,806 | 8 | 119,612 |
No | output | 1 | 59,806 | 8 | 119,613 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
# H - Swords
from math import gcd
# x y z
# n a
# n * x - sum(a) = y * z
n = int(input())
a_input = list(map(int, input().split()))
a = sorted(set(a_input))
offset = a[0]
cmin = a[len(a) - 2] - offset
cmax = a[len(a) - 1] - offset
all_gcd = gcd(cmin, cmax)
missing = n * (cmax + offset) - sum(a_input)
print('%d %d' % (missing / all_gcd, all_gcd))
``` | instruction | 0 | 59,807 | 8 | 119,614 |
No | output | 1 | 59,807 | 8 | 119,615 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
import math
cnt = int(input())
arr = list(map(int,input().split()))
result1 = 0
counterMax = max(arr)
pl = set()
pm = 0
an = []
mn = 0
m = 0
for i in range(cnt):
an.append(abs(arr[i] - counterMax))
if abs(arr[i] - counterMax) != 0:
pl.add(abs(arr[i] - counterMax))
result1 += an[i]
if len(pl) == 1:
print(1,*pl)
else:
if counterMax <= 10000:
counterMax = counterMax // 2
else:
mn += 1
counterMax = counterMax ** 0.5
counterMax = math.ceil(counterMax)
for i in range(counterMax+1,2,-1):
if pm == 0 and i != counterMax+1:
m += 1
break
pm = 0
for j in range(len(an)):
if an[j] % i != 0:
pm += 1
break
if m == 1:
print(result1 // (i+1),(i+1))
else:
if result1 // i == 2484552700064:
print(result1 // (i-2),(i-2))
elif mn == 1:
print(result1 // (i-1),(i-1))
else:
print(result1 // (i),(i))
``` | instruction | 0 | 59,808 | 8 | 119,616 |
No | output | 1 | 59,808 | 8 | 119,617 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There were n types of swords in the theater basement which had been used during the plays. Moreover there were exactly x swords of each type. y people have broken into the theater basement and each of them has taken exactly z swords of some single type. Note that different people might have taken different types of swords. Note that the values x, y and z are unknown for you.
The next morning the director of the theater discovers the loss. He counts all swords — exactly a_i swords of the i-th type are left untouched.
The director has no clue about the initial number of swords of each type in the basement, the number of people who have broken into the basement and how many swords each of them have taken.
For example, if n=3, a = [3, 12, 6] then one of the possible situations is x=12, y=5 and z=3. Then the first three people took swords of the first type and the other two people took swords of the third type. Note that you don't know values x, y and z beforehand but know values of n and a.
Thus he seeks for your help. Determine the minimum number of people y, which could have broken into the theater basement, and the number of swords z each of them has taken.
Input
The first line of the input contains one integer n (2 ≤ n ≤ 2 ⋅ 10^{5}) — the number of types of swords.
The second line of the input contains the sequence a_1, a_2, ..., a_n (0 ≤ a_i ≤ 10^{9}), where a_i equals to the number of swords of the i-th type, which have remained in the basement after the theft. It is guaranteed that there exists at least one such pair of indices (j, k) that a_j ≠ a_k.
Output
Print two integers y and z — the minimum number of people which could have broken into the basement and the number of swords each of them has taken.
Examples
Input
3
3 12 6
Output
5 3
Input
2
2 9
Output
1 7
Input
7
2 1000000000 4 6 8 4 2
Output
2999999987 2
Input
6
13 52 0 13 26 52
Output
12 13
Note
In the first example the minimum value of y equals to 5, i.e. the minimum number of people who could have broken into the basement, is 5. Each of them has taken 3 swords: three of them have taken 3 swords of the first type, and two others have taken 3 swords of the third type.
In the second example the minimum value of y is 1, i.e. the minimum number of people who could have broken into the basement, equals to 1. He has taken 7 swords of the first type.
Submitted Solution:
```
import math
n=int(input())
a=list(map(int,input().split()))
t=a[1]
for i in range(1,n):
t=math.gcd(t,a[i])
p=max(a)
r=0
for i in range(n):
s=p-a[i]
r=r+s//t
print(r,t)
``` | instruction | 0 | 59,809 | 8 | 119,618 |
No | output | 1 | 59,809 | 8 | 119,619 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
import sys
input = sys.stdin.readline
t=int(input())
for tests in range(t):
n=int(input())
A=list(map(int,input().split()))
B=[(i+A[i])%n for i in range(n)]
#print(B)
if len(set(B))==n:
print("YES")
else:
print("NO")
``` | instruction | 0 | 59,875 | 8 | 119,750 |
Yes | output | 1 | 59,875 | 8 | 119,751 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
from collections import defaultdict
from sys import stdin
input = stdin.readline
if __name__ == '__main__':
for _ in range(int(input())):
n = int(input())
arr = list(map(int, input().split()))
dct = defaultdict(lambda: 0)
for i in range(n):
dct[(i + 1 + arr[(i + 1) % n]) % n] += 1
u = True
for key, value in dct.items():
if value > 1:
u = False
break
print('YES' if u else 'NO')
``` | instruction | 0 | 59,876 | 8 | 119,752 |
Yes | output | 1 | 59,876 | 8 | 119,753 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
t = int(input())
for tc in range(t):
n = int(input())
a = list(map(int, input().split()))
ans = [0]*n
for i in range(len(a)):
ans[(i+a[i])%n] += 1
output = "YES"
for a in ans:
if a != 1:
output = "NO"
break
print(output)
``` | instruction | 0 | 59,877 | 8 | 119,754 |
Yes | output | 1 | 59,877 | 8 | 119,755 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
t = int(input())
for _ in range(t):
n = int(input())
a = list(map(int, input().split()))
visited = set()
flag = 1
for r in range(n):
new = (r + a[r])%n
if new in visited:
print('NO')
flag = 0
break
else:
visited.add(new)
if flag: print('YES')
``` | instruction | 0 | 59,878 | 8 | 119,756 |
Yes | output | 1 | 59,878 | 8 | 119,757 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
from collections import defaultdict
t = int(input())
for _ in range(t):
n = int(input())
arr = list(map(int,input().strip().split()))[:n]
flag = 0
store =defaultdict(int)
for i in range(n):
pos = arr[i]+i
if store[pos] == True:
print('NO')
flag = 1
break
store[pos] = True
if flag == 0:
print('YES')
``` | instruction | 0 | 59,879 | 8 | 119,758 |
No | output | 1 | 59,879 | 8 | 119,759 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
import sys
import math
from collections import defaultdict
t=int(sys.stdin.readline())
for _ in range(t):
n=int(sys.stdin.readline())
arr=list(map(int,sys.stdin.readline().split()))
vis=defaultdict(int)
z=True
for i in range(1,n+1):
x=i%n
y=i+arr[x]
if vis[y]==0:
vis[y]=1
else:
#print('NO')
z=False
break
if z:
print('YES')
else:
print('NO')
``` | instruction | 0 | 59,880 | 8 | 119,760 |
No | output | 1 | 59,880 | 8 | 119,761 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
t = int(input())
for _ in range(t):
n = int(input())
s = list(map(int, input().split()))
se = set()
ye = True
for i in range(n):
if(s[i] + s[s[i] % n]) in s:
print("NO")
ye = False
break
else :
se.add(s[i] + s[s[i] % n])
if ye :
print("YES")
``` | instruction | 0 | 59,881 | 8 | 119,762 |
No | output | 1 | 59,881 | 8 | 119,763 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
t = int(input())
while t > 0:
t -= 1
n = int(input())
a = list(map(int,input().split()))
room = {}
for i in range(n):
x = (i+1) + a[(i+1)%n]
if x in room.keys():
room [x] += 1
else:
room[x] = 1
flag = 1
for i in room.keys():
if room[i] > 1:
flag = 0
print("YES" if flag else "NO")
``` | instruction | 0 | 59,882 | 8 | 119,764 |
No | output | 1 | 59,882 | 8 | 119,765 |
Evaluate the correctness of the submitted Python 2 solution to the coding contest problem. Provide a "Yes" or "No" response.
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself, decides he wants to shuffle the guests around because he thinks this will create a vacancy (a room without a guest).
For any integer k and positive integer n, let kmod n denote the remainder when k is divided by n. More formally, r=kmod n is the smallest non-negative integer such that k-r is divisible by n. It always holds that 0≤ kmod n≤ n-1. For example, 100mod 12=4 and (-1337)mod 3=1.
Then the shuffling works as follows. There is an array of n integers a_0,a_1,…,a_{n-1}. Then for each integer k, the guest in room k is moved to room number k+a_{kmod n}.
After this shuffling process, determine if there is still exactly one guest assigned to each room. That is, there are no vacancies or rooms with multiple guests.
Input
Each test consists of multiple test cases. The first line contains a single integer t (1≤ t≤ 10^4) — the number of test cases. Next 2t lines contain descriptions of test cases.
The first line of each test case contains a single integer n (1≤ n≤ 2⋅ 10^5) — the length of the array.
The second line of each test case contains n integers a_0,a_1,…,a_{n-1} (-10^9≤ a_i≤ 10^9).
It is guaranteed that the sum of n over all test cases does not exceed 2⋅ 10^5.
Output
For each test case, output a single line containing "YES" if there is exactly one guest assigned to each room after the shuffling process, or "NO" otherwise. You can print each letter in any case (upper or lower).
Example
Input
6
1
14
2
1 -1
4
5 5 5 1
3
3 2 1
2
0 1
5
-239 -2 -100 -3 -11
Output
YES
YES
YES
NO
NO
YES
Note
In the first test case, every guest is shifted by 14 rooms, so the assignment is still unique.
In the second test case, even guests move to the right by 1 room, and odd guests move to the left by 1 room. We can show that the assignment is still unique.
In the third test case, every fourth guest moves to the right by 1 room, and the other guests move to the right by 5 rooms. We can show that the assignment is still unique.
In the fourth test case, guests 0 and 1 are both assigned to room 3.
In the fifth test case, guests 1 and 2 are both assigned to room 2.
Submitted Solution:
```
from sys import stdin, stdout
from collections import Counter, defaultdict
from itertools import permutations, combinations
raw_input = stdin.readline
pr = stdout.write
def in_num():
return int(raw_input())
def in_arr():
return map(int,raw_input().split())
def pr_num(n):
stdout.write(str(n)+'\n')
def pr_arr(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+
for t in range(input()):
n=in_num()
l=in_arr()
d=Counter()
f=0
for i in range(n):
temp=l[i]-i
if d[-temp]:
f=1
break
d[temp]=1
if f:
pr('NO\n')
else:
pr('YES\n')
``` | instruction | 0 | 59,883 | 8 | 119,766 |
No | output | 1 | 59,883 | 8 | 119,767 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One foggy Stockholm morning, Karlsson decided to snack on some jam in his friend Lillebror Svantenson's house. Fortunately for Karlsson, there wasn't anybody in his friend's house. Karlsson was not going to be hungry any longer, so he decided to get some food in the house.
Karlsson's gaze immediately fell on n wooden cupboards, standing in the kitchen. He immediately realized that these cupboards have hidden jam stocks. Karlsson began to fly greedily around the kitchen, opening and closing the cupboards' doors, grab and empty all the jars of jam that he could find.
And now all jars of jam are empty, Karlsson has had enough and does not want to leave traces of his stay, so as not to let down his friend. Each of the cupboards has two doors: the left one and the right one. Karlsson remembers that when he rushed to the kitchen, all the cupboards' left doors were in the same position (open or closed), similarly, all the cupboards' right doors were in the same position (open or closed). Karlsson wants the doors to meet this condition as well by the time the family returns. Karlsson does not remember the position of all the left doors, also, he cannot remember the position of all the right doors. Therefore, it does not matter to him in what position will be all left or right doors. It is important to leave all the left doors in the same position, and all the right doors in the same position. For example, all the left doors may be closed, and all the right ones may be open.
Karlsson needs one second to open or close a door of a cupboard. He understands that he has very little time before the family returns, so he wants to know the minimum number of seconds t, in which he is able to bring all the cupboard doors in the required position.
Your task is to write a program that will determine the required number of seconds t.
Input
The first input line contains a single integer n — the number of cupboards in the kitchen (2 ≤ n ≤ 104). Then follow n lines, each containing two integers li and ri (0 ≤ li, ri ≤ 1). Number li equals one, if the left door of the i-th cupboard is opened, otherwise number li equals zero. Similarly, number ri equals one, if the right door of the i-th cupboard is opened, otherwise number ri equals zero.
The numbers in the lines are separated by single spaces.
Output
In the only output line print a single integer t — the minimum number of seconds Karlsson needs to change the doors of all cupboards to the position he needs.
Examples
Input
5
0 1
1 0
0 1
1 1
0 1
Output
3 | instruction | 0 | 60,039 | 8 | 120,078 |
Tags: implementation
Correct Solution:
```
n = int(input())
m=[]
for _ in range(n):
l = [int(x) for x in input().split()[:2]]
m.append(l)
c=0
k=0
m1=[];m2=[]
for i in m:
m1.append(i[0])
m2.append(i[1])
if m1.count(0)>m1.count(1):
left = 0
else:
left = 1
if m2.count(0)>m2.count(1):
right = 0
else:
right = 1
#print(m1,m2)
#print(left,right)
for i in m1:
if i!=left:
c+=1
for i in m2:
if i!=right:
c+=1
print(c)
``` | output | 1 | 60,039 | 8 | 120,079 |
Provide tags and a correct Python 3 solution for this coding contest problem.
One foggy Stockholm morning, Karlsson decided to snack on some jam in his friend Lillebror Svantenson's house. Fortunately for Karlsson, there wasn't anybody in his friend's house. Karlsson was not going to be hungry any longer, so he decided to get some food in the house.
Karlsson's gaze immediately fell on n wooden cupboards, standing in the kitchen. He immediately realized that these cupboards have hidden jam stocks. Karlsson began to fly greedily around the kitchen, opening and closing the cupboards' doors, grab and empty all the jars of jam that he could find.
And now all jars of jam are empty, Karlsson has had enough and does not want to leave traces of his stay, so as not to let down his friend. Each of the cupboards has two doors: the left one and the right one. Karlsson remembers that when he rushed to the kitchen, all the cupboards' left doors were in the same position (open or closed), similarly, all the cupboards' right doors were in the same position (open or closed). Karlsson wants the doors to meet this condition as well by the time the family returns. Karlsson does not remember the position of all the left doors, also, he cannot remember the position of all the right doors. Therefore, it does not matter to him in what position will be all left or right doors. It is important to leave all the left doors in the same position, and all the right doors in the same position. For example, all the left doors may be closed, and all the right ones may be open.
Karlsson needs one second to open or close a door of a cupboard. He understands that he has very little time before the family returns, so he wants to know the minimum number of seconds t, in which he is able to bring all the cupboard doors in the required position.
Your task is to write a program that will determine the required number of seconds t.
Input
The first input line contains a single integer n — the number of cupboards in the kitchen (2 ≤ n ≤ 104). Then follow n lines, each containing two integers li and ri (0 ≤ li, ri ≤ 1). Number li equals one, if the left door of the i-th cupboard is opened, otherwise number li equals zero. Similarly, number ri equals one, if the right door of the i-th cupboard is opened, otherwise number ri equals zero.
The numbers in the lines are separated by single spaces.
Output
In the only output line print a single integer t — the minimum number of seconds Karlsson needs to change the doors of all cupboards to the position he needs.
Examples
Input
5
0 1
1 0
0 1
1 1
0 1
Output
3 | instruction | 0 | 60,040 | 8 | 120,080 |
Tags: implementation
Correct Solution:
```
c=[]
d=[]
for i in range(int(input())):
a,b=[int(i) for i in input().split()]
c.append(a)
d.append(b)
if(c.count(0)>c.count(1)):
p=c.count(1)
else:
p=c.count(0)
if(d.count(0)>d.count(1)):
q=d.count(1)
else:
q=d.count(0)
print(p+q)
``` | output | 1 | 60,040 | 8 | 120,081 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.