message stringlengths 2 20.2k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 757 108k | cluster float64 4 4 | __index_level_0__ int64 1.51k 217k |
|---|---|---|---|---|---|
Provide tags and a correct Python 3 solution for this coding contest problem.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12. | instruction | 0 | 6,834 | 4 | 13,668 |
Tags: implementation
Correct Solution:
```
from sys import setrecursionlimit, exit, stdin
from math import ceil, floor, acos, pi
from string import ascii_lowercase, ascii_uppercase, digits
from fractions import gcd
from functools import reduce
import itertools
setrecursionlimit(10**7)
RI=lambda x=' ': list(map(int,input().split(x)))
RS=lambda x=' ': input().rstrip().split(x)
dX= [-1, 1, 0, 0,-1, 1,-1, 1]
dY= [ 0, 0,-1, 1, 1,-1,-1, 1]
mod=int(1e9+7)
eps=1e-6
MAX=1000
#################################################
def to_base(s, b):
if not s:
return 0
v=int(s[-1], 36)
if v>=b:
return MAX
return v+to_base(s[:-1], b) *b
h, m = RS(':')
ans=[]
for b in range(100):
if to_base(h, b) < 24 and to_base(m, b) <60:
ans.append(b)
if not ans:
print(0)
elif ans[-1]==99:
print(-1)
else:
print(*ans)
``` | output | 1 | 6,834 | 4 | 13,669 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12. | instruction | 0 | 6,835 | 4 | 13,670 |
Tags: implementation
Correct Solution:
```
a,b=input().split(':')
z='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'
c=[z.find(i) for i in a]
d=[z.find(i) for i in b]
for i in range(len(c)):
if c[i]>0:
break
c=c[i:]
for i in range(len(d)):
if d[i]>0:
break
d=d[i:]
if int(a,base=max(*c+[1])+1)>23 or int(b,base=max(*d+[1])+1)>59:
print(0)
elif len(c)==len(d)==1:
print(-1)
else:
for i in range(max(*d+c)+1,61):
e=0
for j in range(len(c)):
e+=i**j*c[-1-j]
f=0
for j in range(len(d)):
f+=i**j*d[-1-j]
if 0<=e<=23 and 0<=f<=59:
print(i,end=' ')
``` | output | 1 | 6,835 | 4 | 13,671 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12. | instruction | 0 | 6,836 | 4 | 13,672 |
Tags: implementation
Correct Solution:
```
def f(x, k):
if 1 < k < 37: return int(x, k)
s = 0
for i in x:
s = s * k
s += int(i, 36)
return s
hours, minutes = input().split(':')
i = j = k = max(int(max(hours), 36), int(max(minutes), 36)) + 1
x, y = (f(hours, k) == f(hours, k + 1)), (f(minutes, k) == f(minutes, k + 1))
if x and y: print(-1 if hours[-1] < 'O' else 0)
else:
if x: i = 61
else:
while f(hours, i) < 24: i += 1
if y: j = i
else:
while j < i and f(minutes, j) < 60: j += 1
print(' '.join(map(str, range(k, j))) if k < j else 0)
``` | output | 1 | 6,836 | 4 | 13,673 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12. | instruction | 0 | 6,837 | 4 | 13,674 |
Tags: implementation
Correct Solution:
```
import string
import re
values={str(d): d for d in range(10) }
for ch in string.ascii_uppercase:
values[ch] = ord(ch) - 55
def convert(s, i):
x=0
for ch in s:
d = values[ch]
if d>=i:
return None
x = i*x+d
return x
match=re.match('0*(\w+):0*(\w+)',input().strip())
a,b=match.groups([1, 2])
ans = []
for i in range(2, 60):
h = convert(a, i)
m = convert(b, i)
if h == None or m == None:
continue
if h < 24 and m < 60:
ans.append(i)
if len(ans) == 0:
print(0)
elif len(a) + len(b) == 2:
print(-1)
else:
print(*ans)
``` | output | 1 | 6,837 | 4 | 13,675 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
def f(x, k):
if 1 < k < 37: return int(x, k)
s = 0
for i in x:
s = s * k
s += int(i, 36)
return s
a, b = input().split(':')
i = j = k = max(int(max(a), 36), int(max(b), 36)) + 1
x, y = (f(a, k) == f(a, k + 1)), (f(b, k) == f(b, k + 1))
if x and y: print(-1 if a[-1] < 'O' else 0)
else:
if x: i = 61
else:
while f(a, i) < 24: i += 1
if y: j = i
else:
while j < i and f(b, j) < 60: j += 1
print(' '.join(map(str, range(k, j))) if k < j else 0)
# Made By Mostafa_Khaled
``` | instruction | 0 | 6,838 | 4 | 13,676 |
Yes | output | 1 | 6,838 | 4 | 13,677 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
time = input()
hour = time.split(':')[0]
minute = time.split(':')[1]
minBase = 0
def charToVal(x):
if ord(x) < 58:
return ord(x) - 48
else:
return ord(x) - 55
for x in hour:
if ord(x) < 58:
minBase = max(minBase, ord(x) - 47)
else:
minBase = max(minBase, ord(x) - 54)
for x in minute:
if ord(x) < 58:
minBase = max(minBase, ord(x) - 47)
else:
minBase = max(minBase, ord(x) - 54)
solutions = []
for base in range(minBase, 62):
multiple = 1
converted_hour = 0
for x in range(len(hour) - 1, -1, -1):
converted_hour += multiple*(charToVal(hour[x]))
multiple *= base
if converted_hour >= 24:
break
multiple = 1
converted_minute = 0
for x in range(len(minute) - 1, -1, -1):
converted_minute += multiple*(charToVal(minute[x]))
multiple *= base
if converted_minute >= 60:
break
solutions.append(base)
if 61 in solutions:
print(-1)
elif len(solutions) == 0:
print(0)
else:
for x in solutions:
print(x, end=' ')
``` | instruction | 0 | 6,839 | 4 | 13,678 |
Yes | output | 1 | 6,839 | 4 | 13,679 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
import sys
s1,s2 = input().split(":")
def convert(n,base):
ans = 0
for i in range(len(n)):
x = 0
if n[i].isalpha():
x = int(ord(n[i]) - ord('A')+10)
else:
x = int(n[i])
ans += x*pow(base,len(n)-i-1)
return ans
work = []
minm = 0
for c in s1+s2:
if c.isalpha():
minm = max(minm, ord(c) - ord('A')+10)
else:
minm = max(minm,int(c))
for base in range(max(minm+1,2),60):
if convert(s1,base) < 24 and convert(s2,base) < 60:
work.append(base)
else:
break
if len(work) == 0:
print(0)
elif (len(s1) == 1 or s1[:len(s1)-1] == '0'*(len(s1) -1)) and (len(s2) == 1 or s2[:len(s2)-1] == '0'*(len(s2) -1)):
print(-1)
else:
print(" ".join(map(str,work)))
``` | instruction | 0 | 6,840 | 4 | 13,680 |
Yes | output | 1 | 6,840 | 4 | 13,681 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
'''input
27:0070
'''
def conv(s, base):
ans = 0
for index, i in enumerate(reversed(s)):
val = int(i, 36)
ans += (base**index)*val
return ans
def valid(base, h, m):
hours = conv(h, base)
mint = conv(m, base)
if(0 <= hours < 24 and 0 <= mint < 60):
return True
else:
return False
h, m = input().split(":")
hl = sorted(list(h))
ml = sorted(list(m))
hm = hl[-1]
mm = ml[-1]
if(ord(hm) < ord('A')):
minbaseh = ord(hm) - ord('0') + 1
else:
minbaseh = 11 + ord(hm) - ord('A')
if(ord(mm) < ord('A')):
minbasem = ord(mm) - ord('0') + 1
else:
minbasem = 11 + ord(mm) - ord('A')
minbase = max(minbasem, minbaseh)
# print(minbaseh, minbasem, minbase, hm, mm)
firstInval = 0
found = False
lo = minbase
hi = 60
while(lo <= hi):
mid = lo + (hi - lo)//2
# print(mid, lo, hi, valid(mid, h, m))
if(not valid(mid, h, m)):
firstInval = mid
hi = mid-1
found = True
else:
lo = mid+1
if(not found):
print(-1)
elif(firstInval == minbase):
print(0)
else:
for i in range(minbase, firstInval):
print(i, end = " ")
``` | instruction | 0 | 6,841 | 4 | 13,682 |
Yes | output | 1 | 6,841 | 4 | 13,683 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
time = input()
hour = time.split(':')[0]
minute = time.split(':')[1]
minBase = 0
def charToVal(x):
if ord(x) < 58:
return ord(x) - 48
else:
return ord(x) - 55
for x in hour:
if ord(x) < 58:
minBase = max(minBase, ord(x) - 47)
else:
minBase = max(minBase, ord(x) - 54)
for x in minute:
if ord(x) < 58:
minBase = max(minBase, ord(x) - 47)
else:
minBase = max(minBase, ord(x) - 54)
solutions = []
for base in range(minBase, 27):
multiple = 1
converted_hour = 0
for x in range(len(hour) - 1, -1, -1):
converted_hour += multiple*(charToVal(hour[x]))
multiple *= base
if converted_hour >= 24:
break
multiple = 1
converted_minute = 0
for x in range(len(minute) - 1, -1, -1):
converted_minute += multiple*(charToVal(minute[x]))
multiple *= base
if converted_minute >= 60:
break
solutions.append(base)
if 26 in solutions:
print(-1)
elif len(solutions) == 0:
print(0)
else:
for x in solutions:
print(x, end=' ')
#make sure it is valid
# if it fails, break, return ones that worked
#otherwise, next return statement is -1
``` | instruction | 0 | 6,842 | 4 | 13,684 |
No | output | 1 | 6,842 | 4 | 13,685 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
s = input()
a = s[:s.index(":")]
b = s[s.index(":")+1:]
a2 = ''
b2 = ''
found = False
for i in a:
if i!='0':
found = True
if found:
a2+=i
found = False
for i in b:
if i!='0':
found = True
if found:
b2+=i
a = a2
b = b2
apos = []
bpos = []
values = ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']
for i in a:
apos.append(values.index(i))
for i in b:
bpos.append(values.index(i))
if len(apos)==0:
apos.append(0)
if len(bpos)==0:
bpos.append(0)
minradix = max(max(apos), max(bpos))
#print(minradix)
results = []
for i in range(minradix+1, 24):
aresult = 0
bresult = 0
for j in range(len(apos)):
aresult+=apos[j]*(i**(len(apos)-j-1))
for j in range(len(bpos)):
bresult+=bpos[j]*(i**(len(bpos)-j-1))
if aresult<=23 and bresult<=59:
results.append(i)
#print(a, b)
if len(a)==1 and len(b)==1 and values.index(a)<=23 and values.index(b)<=59:
print(-1)
elif len(results)==0:
print(0)
elif apos==[0] and bpos==[0]:
print(-1)
else:
print(' '.join(list(map(str, results))))
``` | instruction | 0 | 6,843 | 4 | 13,686 |
No | output | 1 | 6,843 | 4 | 13,687 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
a,b=input().split(':')
z='0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ'
c=[z.find(i) for i in a]
d=[z.find(i) for i in b]
for i in range(len(c)):
if c[i]>0:
break
c=c[i:]
for i in range(len(d)):
if d[i]>0:
break
d=d[i:]
if int(a,base=max(*c+[2])+1)>23 or int(b,base=max(*d+[2])+1)>59:
print(0)
elif len(c)==len(d)==1:
print(-1)
else:
for i in range(max(*d+c)+1,61):
e=0
for j in range(len(c)):
e+=i**j*c[-1-j]
f=0
for j in range(len(d)):
f+=i**j*d[-1-j]
if 0<=e<=23 and 0<=f<=59:
print(i,end=' ')
``` | instruction | 0 | 6,844 | 4 | 13,688 |
No | output | 1 | 6,844 | 4 | 13,689 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Having stayed home alone, Petya decided to watch forbidden films on the Net in secret. "What ungentlemanly behavior!" β you can say that, of course, but don't be too harsh on the kid. In his country films about the Martians and other extraterrestrial civilizations are forbidden. It was very unfair to Petya as he adored adventure stories that featured lasers and robots.
Today Petya is watching a shocking blockbuster about the Martians called "R2:D2". What can "R2:D2" possibly mean? It might be the Martian time represented in the Martian numeral system. Petya knows that time on Mars is counted just like on the Earth (that is, there are 24 hours and each hour has 60 minutes). The time is written as "a:b", where the string a stands for the number of hours (from 0 to 23 inclusive), and string b stands for the number of minutes (from 0 to 59 inclusive). The only thing Petya doesn't know is in what numeral system the Martian time is written.
Your task is to print the radixes of all numeral system which can contain the time "a:b".
Input
The first line contains a single string as "a:b" (without the quotes). There a is a non-empty string, consisting of numbers and uppercase Latin letters. String a shows the number of hours. String b is a non-empty string that consists of numbers and uppercase Latin letters. String b shows the number of minutes. The lengths of strings a and b are from 1 to 5 characters, inclusive. Please note that strings a and b can have leading zeroes that do not influence the result in any way (for example, string "008:1" in decimal notation denotes correctly written time).
We consider characters 0, 1, ..., 9 as denoting the corresponding digits of the number's representation in some numeral system, and characters A, B, ..., Z correspond to numbers 10, 11, ..., 35.
Output
Print the radixes of the numeral systems that can represent the time "a:b" in the increasing order. Separate the numbers with spaces or line breaks. If there is no numeral system that can represent time "a:b", print the single integer 0. If there are infinitely many numeral systems that can represent the time "a:b", print the single integer -1.
Note that on Mars any positional numeral systems with positive radix strictly larger than one are possible.
Examples
Input
11:20
Output
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
Input
2A:13
Output
0
Input
000B:00001
Output
-1
Note
Let's consider the first sample. String "11:20" can be perceived, for example, as time 4:6, represented in the ternary numeral system or as time 17:32 in hexadecimal system.
Let's consider the second sample test. String "2A:13" can't be perceived as correct time in any notation. For example, let's take the base-11 numeral notation. There the given string represents time 32:14 that isn't a correct time.
Let's consider the third sample. String "000B:00001" can be perceived as a correct time in the infinite number of numeral systems. If you need an example, you can take any numeral system with radix no less than 12.
Submitted Solution:
```
s=input().rstrip().split(':')
ans=[]
for i in range(2,60):
try:
if int(s[0],i)<=24 and int(s[0],i)>=0 and int(s[1],i)>=0 and int(s[1],i)<=59:
ans.append(i)
except:
pass
count=0
i=100
try:
if int(s[0],i)<=24 and int(s[0],i)>=0 and int(s[1],i)>=0 and int(s[1],i)<=59:
count+=1
except:
pass
if count==1 or ans[-1]==36:
print(-1)
elif len(ans)==0:
print(0)
else:
print(*ans)
``` | instruction | 0 | 6,845 | 4 | 13,690 |
No | output | 1 | 6,845 | 4 | 13,691 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,127 | 4 | 14,254 |
Tags: implementation
Correct Solution:
```
n = int(input())
BoringTimes = [int(i) for i in input().split(' ')]
flag = 0
if BoringTimes[0] > 15:
flag = 1
print('15')
else:
for i in range(n-1):
if BoringTimes[i+1] - BoringTimes[i] > 15:
flag = 1
print(BoringTimes[i] + 15)
break
if flag == 0 and BoringTimes[n-1] < 75:
flag = 1
print(BoringTimes[n-1] + 15)
if flag == 0:
print('90')
``` | output | 1 | 7,127 | 4 | 14,255 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,128 | 4 | 14,256 |
Tags: implementation
Correct Solution:
```
n=int(input())
a=[int(i) for i in input().split()]
ch=0
for f in a:
if f-ch>15:
break
else:
ch=f
if ch>=90-15:
ch=90
else:
ch+=15
print(ch)
``` | output | 1 | 7,128 | 4 | 14,257 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,129 | 4 | 14,258 |
Tags: implementation
Correct Solution:
```
input()
ts = map(int, input().split())
time = 15
for t in ts:
if t <= time:
time = t + 15
else:
break
print(min(90, time))
``` | output | 1 | 7,129 | 4 | 14,259 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,130 | 4 | 14,260 |
Tags: implementation
Correct Solution:
```
n = input()
minutes = list(map(int,input().split()))
total_time = 0
mark = 0
for i in minutes:
watching = min(i-mark,15)
total_time += watching
if i-mark>=16:
break
mark = i
if mark == minutes[-1]:
total_time += min(90-minutes[-1],15)
print(total_time)
``` | output | 1 | 7,130 | 4 | 14,261 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,131 | 4 | 14,262 |
Tags: implementation
Correct Solution:
```
n = int(input())
arr = list(map(int, input().split(' ')))
last = 0
end = False
for i in arr:
if i - last > 15:
print(last + 15)
end = True
break
last = i
if not end:
if last > 74:
print(90)
else:
print(last + 15)
``` | output | 1 | 7,131 | 4 | 14,263 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,132 | 4 | 14,264 |
Tags: implementation
Correct Solution:
```
n = int(input())
t = list(map(int, input().split()))
if(n==1 or t[0]>15):
if(t[0] > 15):
print(15)
else:
print(t[0]+15)
else:
watchtime = 0
for i in range(1,n):
if(t[i]-t[i-1] >15):
watchtime=t[i-1]+15
break
if watchtime == 0:
watchtime = t[-1]+15
if watchtime > 90:
print(90)
else:
print(watchtime)
``` | output | 1 | 7,132 | 4 | 14,265 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,133 | 4 | 14,266 |
Tags: implementation
Correct Solution:
```
n=int(input())
l=list(map(int,input().split()))
m=0
s=0
for i in range(n):
if(l[i]-m<=15):
m=l[i]
else:
m+=15
s=1
break
if(s==0):
if(90-m<=15):
m=90
else:
m+=15
print(m)
``` | output | 1 | 7,133 | 4 | 14,267 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | instruction | 0 | 7,134 | 4 | 14,268 |
Tags: implementation
Correct Solution:
```
n=int(input())
l=list(map(int,input().split()))
if len(l)==1:
if l[0]>15:
time=15
else:
time=l[0]+15
for i in range(len(l)):
if l[i]<=15 and i==0:
continue
elif l[i]>15 and i==0:
time=15
break
if l[i]-l[i-1]>15:
time=l[i-1]+15
break
elif l[i]-l[i-1]<=15:
if i==len(l)-1:
if l[i]<90:
if 90-l[i]<=15:
time=90
elif 90-l[i]>15:
time=l[i]+15
else:
time=90
else:
continue
print(time)
``` | output | 1 | 7,134 | 4 | 14,269 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
n = int(input())
T = [0]+list(map(int, input().split()))+[90]
ok = 1
for i in range(1,n+2):
if T[i]-T[i-1]>15:
print(T[i-1]+15)
ok = 0
break
if ok:
print(90)
``` | instruction | 0 | 7,135 | 4 | 14,270 |
Yes | output | 1 | 7,135 | 4 | 14,271 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
a = int(input());
c = input().split();
dem = int(c[0]);
if dem > 15:
dem = 15;
else:
for i in range(a):
d = int(c[i]) - dem;
if d > 15:
dem = int(c[i-1]) + 15;
break
else:
if (i + 1) != a:
dem = int(c[i]);
else:
if int(c[a-1]) > 75:
dem = 90;
else:
dem = int(c[a-1])+15
print(dem)
``` | instruction | 0 | 7,136 | 4 | 14,272 |
Yes | output | 1 | 7,136 | 4 | 14,273 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
n = int(input())
minutes=[]
for i in range(91):
minutes.append(False)
for x in input().split():
x = int(x)
minutes[x] = True
l = 0
i = 1;
while i < 90:
if minutes[i] == False:
l += 1;
else:
l = 0
if (l == 15): break;
i += 1;
print(i)
``` | instruction | 0 | 7,137 | 4 | 14,274 |
Yes | output | 1 | 7,137 | 4 | 14,275 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
first_line = input()
second_line = input()
n = int(first_line)
lst = list(map(lambda a: int(a), second_line.split()))
def solve1(n, lst):
if lst[0] > 15:
return 15
for i in range(len(lst) - 1):
if lst[i + 1] - lst[i] > 15:
return lst[i] + 15
return min(lst[n-1] + 15, 90)
print(solve1(n, lst))
``` | instruction | 0 | 7,138 | 4 | 14,276 |
Yes | output | 1 | 7,138 | 4 | 14,277 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
n = int(input())
m = input()
minutes = [int(x) for x in m.split()]
ans = 0
for i in range(len(minutes)):
if ans + 15 >= minutes[i]:
ans = minutes[i]
else:
ans += 15
break
print(ans)
``` | instruction | 0 | 7,139 | 4 | 14,278 |
No | output | 1 | 7,139 | 4 | 14,279 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
n=int(input())
l=list(map(int,input().split()))
m=0
for i in range(n):
if(l[i]-m<=15):
m=l[i]
else:
m+=15
break
if(i==n):
if(90-m<=15):
m=90
else:
m+=15
print(m)
``` | instruction | 0 | 7,140 | 4 | 14,280 |
No | output | 1 | 7,140 | 4 | 14,281 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
x = int(input())
y = list(map(int, input().split(' ')))
watched = 0
base = 15
for t in y:
duration = t - watched
if duration <= base:
total = watched + duration + base
watched = total if total < 90 else 90
else:
watched = watched + base
break
watched = t
print(watched)
``` | instruction | 0 | 7,141 | 4 | 14,282 |
No | output | 1 | 7,141 | 4 | 14,283 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be n interesting minutes t1, t2, ..., tn. Your task is to calculate for how many minutes Limak will watch the game.
Input
The first line of the input contains one integer n (1 β€ n β€ 90) β the number of interesting minutes.
The second line contains n integers t1, t2, ..., tn (1 β€ t1 < t2 < ... tn β€ 90), given in the increasing order.
Output
Print the number of minutes Limak will watch the game.
Examples
Input
3
7 20 88
Output
35
Input
9
16 20 30 40 50 60 70 80 90
Output
15
Input
9
15 20 30 40 50 60 70 80 90
Output
90
Note
In the first sample, minutes 21, 22, ..., 35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game.
Submitted Solution:
```
def main():
n = int(input())
c = 0
minutes = [int(i) for i in input().split()]
for m in minutes:
if m - c - 1 >= 15:
print(c + 15)
return
c = m
if m + 14 <= 90:
print(m + 14)
else:
print(90)
main()
``` | instruction | 0 | 7,142 | 4 | 14,284 |
No | output | 1 | 7,142 | 4 | 14,285 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,009 | 4 | 16,018 |
Tags: implementation
Correct Solution:
```
def is_leap(y):
a = y % 400 == 0
b = y % 4 == 0 and not y % 100 == 0
return a or b
year = int(input())
l = is_leap(year)
w = 1
u = w
y = year
while True:
y += 1
incr = int(is_leap(y - 1))
u = (u + 1 + incr) % 7
if u == w and l == is_leap(y):
print(y)
break
``` | output | 1 | 8,009 | 4 | 16,019 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,010 | 4 | 16,020 |
Tags: implementation
Correct Solution:
```
def main():
def leap(y):
return y % 100 and not y % 4 or not y % 400
n = int(input())
a = leap(n)
b, x = not a, 0
while a != b or x % 7:
n += 1
b = leap(n)
x += 365 + b
print(n)
if __name__ == '__main__':
main()
``` | output | 1 | 8,010 | 4 | 16,021 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,011 | 4 | 16,022 |
Tags: implementation
Correct Solution:
```
def f(n):
if (n % 400 == 0):
return 2
elif n % 100 != 0 and n % 4 == 0:
return 2
return 1
n = int(input())
x = n
c = f(n)
n += 1
while c % 7 != 0 or f(n) != f(x):
c += f(n)
n += 1
#print(n, f(n), c)
print(n)
``` | output | 1 | 8,011 | 4 | 16,023 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,012 | 4 | 16,024 |
Tags: implementation
Correct Solution:
```
y=int(input())
b=0
y0=y
while b or y==y0 or (y0%400==0 or y0%4==0 and y0%100) and not(y%400==0 or y%4==0 and y%100) or not(y0%400==0 or y0%4==0 and y0%100) and (y%400==0 or y%4==0 and y%100):
b+=365%7
if y%400==0 or y%4==0 and y%100:
b+=1
y+=1
b%=7
print(y)
``` | output | 1 | 8,012 | 4 | 16,025 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,013 | 4 | 16,026 |
Tags: implementation
Correct Solution:
```
def leapyear(y):
return y%400==0 or (y%4==0 and y%100!=0)
a = int(input())
t = int(leapyear(a))
s = int(leapyear(a+1))
d = s+1
y=a+1
while(d%7!=0 or s!=t):
y+=1
s = int(leapyear(y))
d+=s+1
print(y)
``` | output | 1 | 8,013 | 4 | 16,027 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,014 | 4 | 16,028 |
Tags: implementation
Correct Solution:
```
def isleap(y):
return y % 400 == 0 or (y % 4 == 0 and y % 100 != 0)
y = int(input())
days = 366 if isleap(y) else 365
nextSameYear = y+1
while True:
if days % 7 == 0 and isleap(nextSameYear) == isleap(y):
break
days += 366 if isleap(nextSameYear) else 365
nextSameYear+=1
print(nextSameYear)
``` | output | 1 | 8,014 | 4 | 16,029 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,015 | 4 | 16,030 |
Tags: implementation
Correct Solution:
```
n = int(input())
count = 0
flag = True
if (n % 4 == 0 and n % 100 != 0) or n % 400 == 0 :
flag = False
while True:
n += 1
if n % 400 == 0:
count += 2
elif n % 4 == 0 and n % 100 != 0:
count += 2
else:
count += 1
#print(count)
if count % 7 == 0:
if flag == False and ((n % 4 == 0 and n % 100 != 0) or n % 400 == 0):
print(n)
break
elif flag == True and ((n % 4 != 0 or n % 100 == 0) and n % 400 != 0):
print(n)
break
else:
continue
``` | output | 1 | 8,015 | 4 | 16,031 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016. | instruction | 0 | 8,016 | 4 | 16,032 |
Tags: implementation
Correct Solution:
```
def is_leap(year):
return year % 400 == 0 or (year % 4 == 0 and year % 100 != 0)
def year_days(year):
return 365 + int(is_leap(year))
y = int(input().strip())
offset = 0
res = y
while 1:
if offset and offset % 7 == 0 and is_leap(y) == is_leap(res):
break
offset += year_days(res) % 7
res += 1
print(res)
``` | output | 1 | 8,016 | 4 | 16,033 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
import sys
y = int(input())
leap = 1 if y % 400 == 0 or y % 4 == 0 and y % 100 else 0
y += 1
m = (366 if leap else 365) % 7
while 1:
l = 1 if y % 400 == 0 or y % 4 == 0 and y % 100 else 0
if m == 0 and leap == l:
print(y)
exit()
m = (m + (366 if l else 365)) % 7
y += 1
``` | instruction | 0 | 8,017 | 4 | 16,034 |
Yes | output | 1 | 8,017 | 4 | 16,035 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
import datetime
def tot_days(year):
if year % 400 == 0: return 366
if year % 100 == 0: return 365
if year % 4 == 0: return 366
return 365
year = int(input())
first_day = 0
tot = tot_days(year)
days = first_day
cyear = year
while True:
days = (days + tot_days(cyear)) % 7
cyear += 1
if first_day == days and tot == tot_days(cyear):
print(cyear)
break
``` | instruction | 0 | 8,018 | 4 | 16,036 |
Yes | output | 1 | 8,018 | 4 | 16,037 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
def iswis(a):
return a % 400 == 0 or (a%100!= 0 and a %4==0)
n = int(input())
wis = iswis(n)
fr = 0;
n += 1
if (wis):
fr += 1
fr += 1
while (iswis(n) != wis or fr != 0):
if (iswis(n)):
fr += 1
fr += 1
fr %= 7
n += 1
print(n)
``` | instruction | 0 | 8,019 | 4 | 16,038 |
Yes | output | 1 | 8,019 | 4 | 16,039 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
def isleap(n):
if n%4==0:
if n%100==0:
if n%400==0:
return True
return False
return True
return False
n=int(input())
a=0
for i in range(n+1,n+10000000):
if isleap(i):
a+=2
else:
a+=1
a=a%7
if a==0:
if isleap(n):
if isleap(i):
print(i)
break
else:
if isleap(i):
continue
else:
print(i)
break
``` | instruction | 0 | 8,020 | 4 | 16,040 |
Yes | output | 1 | 8,020 | 4 | 16,041 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
def isleap(y):
return y % 400 == 0 or (y % 4 == 0 and y % 100 != 0)
y = int(input())
if isleap(y):
print(y + 28)
elif isleap(y+1):
print(y + 5)
elif isleap(y + 2):
print(y + 11)
else:
print(y + 6)
``` | instruction | 0 | 8,021 | 4 | 16,042 |
No | output | 1 | 8,021 | 4 | 16,043 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
import bisect
from itertools import accumulate
import os
import sys
import math
from decimal import *
from io import BytesIO, IOBase
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
def input(): return sys.stdin.readline().rstrip("\r\n")
def isPrime(n) :
if (n <= 1) : return False
if (n <= 3) : return True
if (n % 2 == 0 or n % 3 == 0) : return False
i = 5
while(i * i <= n) :
if (n % i == 0 or n % (i + 2) == 0) :
return False
i = i + 6
return True
def SieveOfEratosthenes(n):
prime=[]
primes = [True for i in range(n+1)]
p = 2
while (p * p <= n):
if (primes[p] == True):
prime.append(p)
for i in range(p * p, n+1, p):
primes[i] = False
p += 1
return prime
def primefactors(n):
fac=[]
while(n%2==0):
fac.append(2)
n=n//2
for i in range(3,int(math.sqrt(n))+2):
while(n%i==0):
fac.append(i)
n=n//i
if n>1:
fac.append(n)
return fac
def factors(n):
fac=set()
fac.add(1)
fac.add(n)
for i in range(2,int(math.sqrt(n))+1):
if n%i==0:
fac.add(i)
fac.add(n//i)
return list(fac)
#------------------------------------------------------code by AD18
n=int(input())
if n%4==0 and n%100!=0:
print(n+28)
else:
print(n+n%6+n%100)
``` | instruction | 0 | 8,022 | 4 | 16,044 |
No | output | 1 | 8,022 | 4 | 16,045 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
y=int(input())
b=0
y0=y
while b%7 or y==y0 or (y0%400==0 or y0%4==0 and y0%100) and not(y%400==0 or y%4==0 and y%100):
b+=1
if y%400==0 or y%4==0 and y%100:
b+=1
y+=1
print(y)
``` | instruction | 0 | 8,023 | 4 | 16,046 |
No | output | 1 | 8,023 | 4 | 16,047 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The girl Taylor has a beautiful calendar for the year y. In the calendar all days are given with their days of week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
The calendar is so beautiful that she wants to know what is the next year after y when the calendar will be exactly the same. Help Taylor to find that year.
Note that leap years has 366 days. The year is leap if it is divisible by 400 or it is divisible by 4, but not by 100 (<https://en.wikipedia.org/wiki/Leap_year>).
Input
The only line contains integer y (1000 β€ y < 100'000) β the year of the calendar.
Output
Print the only integer y' β the next year after y when the calendar will be the same. Note that you should find the first year after y with the same calendar.
Examples
Input
2016
Output
2044
Input
2000
Output
2028
Input
50501
Output
50507
Note
Today is Monday, the 13th of June, 2016.
Submitted Solution:
```
def is_leap_year(n):
return (n % 4 == 0 or n % 400 == 0) or (n % 4 == 0 and n % 100 != 0)
def solve(n):
if not is_leap_year(n):
i, ans = n, 0
while ans != 7:
i += 1
ans += 1 if not is_leap_year(i) else 2
return i
i, ans = n + 1, 0
while True:
ans += 1 if not is_leap_year(i) else 2
if ans % 7 == 0 and is_leap_year(i):
return i
i += 1
n = int(input())
print(solve(n))
``` | instruction | 0 | 8,024 | 4 | 16,048 |
No | output | 1 | 8,024 | 4 | 16,049 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Ivan Anatolyevich's agency is starting to become famous in the town.
They have already ordered and made n TV commercial videos. Each video is made in a special way: the colors and the soundtrack are adjusted to the time of the day and the viewers' mood. That's why the i-th video can only be shown within the time range of [li, ri] (it is not necessary to use the whole segment but the broadcast time should be within this segment).
Now it's time to choose a TV channel to broadcast the commercial. Overall, there are m TV channels broadcasting in the city, the j-th one has cj viewers, and is ready to sell time [aj, bj] to broadcast the commercial.
Ivan Anatolyevich is facing a hard choice: he has to choose exactly one video i and exactly one TV channel j to broadcast this video and also a time range to broadcast [x, y]. At that the time range should be chosen so that it is both within range [li, ri] and within range [aj, bj].
Let's define the efficiency of the broadcast as value (y - x)Β·cj β the total sum of time that all the viewers of the TV channel are going to spend watching the commercial. Help Ivan Anatolyevich choose the broadcast with the maximum efficiency!
Input
The first line contains two integers n and m (1 β€ n, m β€ 2Β·105) β the number of commercial videos and channels, respectively.
Each of the following n lines contains two integers li, ri (0 β€ li β€ ri β€ 109) β the segment of time when it is possible to show the corresponding video.
Each of the following m lines contains three integers aj, bj, cj (0 β€ aj β€ bj β€ 109, 1 β€ cj β€ 109), characterizing the TV channel.
Output
In the first line print an integer β the maximum possible efficiency of the broadcast. If there is no correct way to get a strictly positive efficiency, print a zero.
If the maximum efficiency is strictly positive, in the second line also print the number of the video i (1 β€ i β€ n) and the number of the TV channel j (1 β€ j β€ m) in the most effective broadcast.
If there are multiple optimal answers, you can print any of them.
Examples
Input
2 3
7 9
1 4
2 8 2
0 4 1
8 9 3
Output
4
2 1
Input
1 1
0 0
1 1 10
Output
0
Note
In the first sample test the most optimal solution is to show the second commercial using the first TV channel at time [2, 4]. The efficiency of such solution is equal to (4 - 2)Β·2 = 4.
In the second sample test Ivan Anatolievich's wish does not meet the options of the TV channel, the segments do not intersect, so the answer is zero.
Submitted Solution:
```
def intersect(a, b, c, d):
if c < a and d > b:
return b - a
elif c < a:
return d - a
else:
if d > b:
return b - c
else:
return d - c
class CodeforcesTask542ASolution:
def __init__(self):
self.result = ''
self.n_m = []
self.videos = []
def read_input(self):
self.n_m = [int(x) for x in input().split(" ")]
for x in range(self.n_m[0]):
self.videos.append([int(y) for y in input().split(" ")])
def process_task(self):
eff = [0 for x in range(self.n_m[0])]
st = [0 for x in range(self.n_m[0])]
for x in range(self.n_m[1]):
channel = [int(y) for y in input().split(" ")]
neff = [intersect(*v, *channel[:2])*channel[2] for v in self.videos]
#eff = [max(eff[x], neff[x]) for x in range(self.n_m[0])]
for x in range(self.n_m[0]):
if neff[x] > eff[x]:
eff[x] = neff[x]
st[x] = x + 1
max_eff = max(eff)
max_vid = eff.index(max_eff) + 1
max_st = st[max_vid - 1]
if max_eff > 0:
self.result = "{0}\n{1} {2}".format(max_eff, max_vid, max_st)
else:
self.result = "0"
def get_result(self):
return self.result
if __name__ == "__main__":
Solution = CodeforcesTask542ASolution()
Solution.read_input()
Solution.process_task()
print(Solution.get_result())
``` | instruction | 0 | 8,667 | 4 | 17,334 |
No | output | 1 | 8,667 | 4 | 17,335 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Unlucky year in Berland is such a year that its number n can be represented as n = xa + yb, where a and b are non-negative integer numbers.
For example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 20 + 31, 17 = 23 + 32 = 24 + 30) and year 18 isn't unlucky as there is no such representation for it.
Such interval of years that there are no unlucky years in it is called The Golden Age.
You should write a program which will find maximum length of The Golden Age which starts no earlier than the year l and ends no later than the year r. If all years in the interval [l, r] are unlucky then the answer is 0.
Input
The first line contains four integer numbers x, y, l and r (2 β€ x, y β€ 1018, 1 β€ l β€ r β€ 1018).
Output
Print the maximum length of The Golden Age within the interval [l, r].
If all years in the interval [l, r] are unlucky then print 0.
Examples
Input
2 3 1 10
Output
1
Input
3 5 10 22
Output
8
Input
2 3 3 5
Output
0
Note
In the first example the unlucky years are 2, 3, 4, 5, 7, 9 and 10. So maximum length of The Golden Age is achived in the intervals [1, 1], [6, 6] and [8, 8].
In the second example the longest Golden Age is the interval [15, 22]. | instruction | 0 | 9,577 | 4 | 19,154 |
Tags: brute force, math
Correct Solution:
```
p = range(61)
x,y,l,r = map(int,input().split())
a = [l-1,r+1]
for i in [ x**i for i in p if x**i <= r]:
for j in [ y**i for i in p if y**i <= r-i]:
if i+j >= l and i+j <= r:
a.append(i+j)
a.sort()
ans = 0
for i in range(1,len(a)):
ans = max(ans,a[i] - a[i-1] -1)
print(ans)
``` | output | 1 | 9,577 | 4 | 19,155 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Unlucky year in Berland is such a year that its number n can be represented as n = xa + yb, where a and b are non-negative integer numbers.
For example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 20 + 31, 17 = 23 + 32 = 24 + 30) and year 18 isn't unlucky as there is no such representation for it.
Such interval of years that there are no unlucky years in it is called The Golden Age.
You should write a program which will find maximum length of The Golden Age which starts no earlier than the year l and ends no later than the year r. If all years in the interval [l, r] are unlucky then the answer is 0.
Input
The first line contains four integer numbers x, y, l and r (2 β€ x, y β€ 1018, 1 β€ l β€ r β€ 1018).
Output
Print the maximum length of The Golden Age within the interval [l, r].
If all years in the interval [l, r] are unlucky then print 0.
Examples
Input
2 3 1 10
Output
1
Input
3 5 10 22
Output
8
Input
2 3 3 5
Output
0
Note
In the first example the unlucky years are 2, 3, 4, 5, 7, 9 and 10. So maximum length of The Golden Age is achived in the intervals [1, 1], [6, 6] and [8, 8].
In the second example the longest Golden Age is the interval [15, 22]. | instruction | 0 | 9,578 | 4 | 19,156 |
Tags: brute force, math
Correct Solution:
```
from math import log, ceil
x, y, l, r = [int(i) for i in input().split()]
ans = 0
nm = ceil(log(r, x)) + 2
mm = ceil(log(r, y)) + 2
v = [l - 1, r + 1]
for n in range(nm):
for m in range(mm):
cur = x ** n + y ** m
if cur < l or cur > r:
continue
v.append(cur)
v.sort()
for i in range(1, len(v)):
ans = max(ans, v[i] - v[i - 1] - 1)
print(ans)
``` | output | 1 | 9,578 | 4 | 19,157 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Unlucky year in Berland is such a year that its number n can be represented as n = xa + yb, where a and b are non-negative integer numbers.
For example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 20 + 31, 17 = 23 + 32 = 24 + 30) and year 18 isn't unlucky as there is no such representation for it.
Such interval of years that there are no unlucky years in it is called The Golden Age.
You should write a program which will find maximum length of The Golden Age which starts no earlier than the year l and ends no later than the year r. If all years in the interval [l, r] are unlucky then the answer is 0.
Input
The first line contains four integer numbers x, y, l and r (2 β€ x, y β€ 1018, 1 β€ l β€ r β€ 1018).
Output
Print the maximum length of The Golden Age within the interval [l, r].
If all years in the interval [l, r] are unlucky then print 0.
Examples
Input
2 3 1 10
Output
1
Input
3 5 10 22
Output
8
Input
2 3 3 5
Output
0
Note
In the first example the unlucky years are 2, 3, 4, 5, 7, 9 and 10. So maximum length of The Golden Age is achived in the intervals [1, 1], [6, 6] and [8, 8].
In the second example the longest Golden Age is the interval [15, 22]. | instruction | 0 | 9,579 | 4 | 19,158 |
Tags: brute force, math
Correct Solution:
```
x,y,lo,h = list(map(int,input().strip().split(' ')))
p = 1
q = 1
l = []
l.append(lo-1)
l.append(h+1)
while p<h :
q = 1
while q < h :
if lo<= p+q and p+q<= h :
l.append(p+q)
q*=y
p*=x
max = 0
l.sort()
for i in range(1,len(l)) :
if max <= l[i]-l[i-1]-1:
max = l[i]-l[i-1]-1
print(max)
``` | output | 1 | 9,579 | 4 | 19,159 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Unlucky year in Berland is such a year that its number n can be represented as n = xa + yb, where a and b are non-negative integer numbers.
For example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 20 + 31, 17 = 23 + 32 = 24 + 30) and year 18 isn't unlucky as there is no such representation for it.
Such interval of years that there are no unlucky years in it is called The Golden Age.
You should write a program which will find maximum length of The Golden Age which starts no earlier than the year l and ends no later than the year r. If all years in the interval [l, r] are unlucky then the answer is 0.
Input
The first line contains four integer numbers x, y, l and r (2 β€ x, y β€ 1018, 1 β€ l β€ r β€ 1018).
Output
Print the maximum length of The Golden Age within the interval [l, r].
If all years in the interval [l, r] are unlucky then print 0.
Examples
Input
2 3 1 10
Output
1
Input
3 5 10 22
Output
8
Input
2 3 3 5
Output
0
Note
In the first example the unlucky years are 2, 3, 4, 5, 7, 9 and 10. So maximum length of The Golden Age is achived in the intervals [1, 1], [6, 6] and [8, 8].
In the second example the longest Golden Age is the interval [15, 22]. | instruction | 0 | 9,580 | 4 | 19,160 |
Tags: brute force, math
Correct Solution:
```
# Contest: Educational Codeforces Round 22 (https://codeforces.com/contest/813)
# Problem: B: The Golden Age (https://codeforces.com/contest/813/problem/B)
def rint():
return int(input())
def rints():
return list(map(int, input().split()))
x, y, l, r = rints()
li = [l - 1, r + 1]
for i in range(65):
for j in range(65):
s = x**i + y**j
if l <= s <= r:
li.append(s)
li = sorted(li)
mx = 0
for i in range(len(li) - 1):
mx = max(mx, li[i + 1] - li[i] - 1)
print(mx)
``` | output | 1 | 9,580 | 4 | 19,161 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Unlucky year in Berland is such a year that its number n can be represented as n = xa + yb, where a and b are non-negative integer numbers.
For example, if x = 2 and y = 3 then the years 4 and 17 are unlucky (4 = 20 + 31, 17 = 23 + 32 = 24 + 30) and year 18 isn't unlucky as there is no such representation for it.
Such interval of years that there are no unlucky years in it is called The Golden Age.
You should write a program which will find maximum length of The Golden Age which starts no earlier than the year l and ends no later than the year r. If all years in the interval [l, r] are unlucky then the answer is 0.
Input
The first line contains four integer numbers x, y, l and r (2 β€ x, y β€ 1018, 1 β€ l β€ r β€ 1018).
Output
Print the maximum length of The Golden Age within the interval [l, r].
If all years in the interval [l, r] are unlucky then print 0.
Examples
Input
2 3 1 10
Output
1
Input
3 5 10 22
Output
8
Input
2 3 3 5
Output
0
Note
In the first example the unlucky years are 2, 3, 4, 5, 7, 9 and 10. So maximum length of The Golden Age is achived in the intervals [1, 1], [6, 6] and [8, 8].
In the second example the longest Golden Age is the interval [15, 22]. | instruction | 0 | 9,581 | 4 | 19,162 |
Tags: brute force, math
Correct Solution:
```
x, y, l, r = list(map(int, input().strip().split(" ")))
cx = 1
cy = 1
v = []
while True:
if cx > r:
break
cy = 1
while True:
if cx + cy > r:
break
if cx + cy >= l:
v.append(cx + cy)
cy = cy * y
cx = cx * x
v.append(l-1)
v.append(r+1)
v.sort()
vd = []
res = 0
for i in range(len(v)-1):
if v[i] == v[i+1]:
continue
res = max(res, v[i+1] - v[i] - 1)
print(res)
``` | output | 1 | 9,581 | 4 | 19,163 |
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