message stringlengths 2 59.7k | message_type stringclasses 2
values | message_id int64 0 1 | conversation_id int64 37 108k | cluster float64 20 20 | __index_level_0__ int64 74 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya has two strings a and b of the same length n. The strings consist only of lucky digits. Petya can perform operations of two types:
* replace any one digit from string a by its opposite (i.e., replace 4 by 7 and 7 by 4);
* swap any pair of digits in string a.
Petya is interested in the minimum number of operations that are needed to make string a equal to string b. Help him with the task.
Input
The first and the second line contains strings a and b, correspondingly. Strings a and b have equal lengths and contain only lucky digits. The strings are not empty, their length does not exceed 105.
Output
Print on the single line the single number — the minimum number of operations needed to convert string a into string b.
Examples
Input
47
74
Output
1
Input
774
744
Output
1
Input
777
444
Output
3
Note
In the first sample it is enough simply to swap the first and the second digit.
In the second sample we should replace the second digit with its opposite.
In the third number we should replace all three digits with their opposites.
Submitted Solution:
```
a=list(input())
b=list(input())
l=len(a)
c=0
e=0
for i in range(l):
if a[i]==b[i]:
c=c+1
d=l-c
else:
for j in range(l):
if a[i]==b[j]:
e=e+1
d=l-e+1
print(d)
``` | instruction | 0 | 46,495 | 20 | 92,990 |
No | output | 1 | 46,495 | 20 | 92,991 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,565 | 20 | 93,130 |
Tags: constructive algorithms
Correct Solution:
```
print('9??>>??0')
for i in range(9):
print(str(i)+'??<>'+str(i+1))
print('??<>1')
for i in range(10):
print('?'+str(i)+'>>'+str(i)+'?')
print('?>>??')
for i in range(10):
print(str(i)+'>>'+str(i)+'?')
``` | output | 1 | 46,565 | 20 | 93,131 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,566 | 20 | 93,132 |
Tags: constructive algorithms
Correct Solution:
```
print("""
??0>>0??
??1>>1??
??2>>2??
??3>>3??
??4>>4??
??5>>5??
??6>>6??
??7>>7??
??8>>8??
??9>>9??
??>>?
0?<>1
1?<>2
2?<>3
3?<>4
4?<>5
5?<>6
6?<>7
7?<>8
8?<>9
9?>>?0
?<>1
>>??
""".strip())
``` | output | 1 | 46,566 | 20 | 93,133 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,567 | 20 | 93,134 |
Tags: constructive algorithms
Correct Solution:
```
print("0??<>1");
print("1??<>2");
print("2??<>3");
print("3??<>4");
print("4??<>5");
print("5??<>6");
print("6??<>7");
print("7??<>8");
print("8??<>9");
print("9??>>??0");
print("??<>1");
print("?9>>9?");
print("?8>>8?");
print("?7>>7?");
print("?6>>6?");
print("?5>>5?");
print("?4>>4?");
print("?3>>3?");
print("?2>>2?");
print("?1>>1?");
print("?0>>0?");
print("9>>9?");
print("8>>8?");
print("7>>7?");
print("6>>6?");
print("5>>5?");
print("4>>4?");
print("3>>3?");
print("2>>2?");
print("1>>1?");
print("0>>0?");
``` | output | 1 | 46,567 | 20 | 93,135 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,568 | 20 | 93,136 |
Tags: constructive algorithms
Correct Solution:
```
print("0??<>1\n1??<>2\n2??<>3\n3??<>4\n4??<>5\n5??<>6\n6??<>7\n7??<>8\n8??<>9\n9??>>??0\n??<>1\n?0>>0?\n?1>>1?\n?2>>2?\n?3>>3?\n?4>>4?\n?5>>5?\n?6>>6?\n?7>>7?\n?8>>8?\n?9>>9?\n>>?\n", end='')
``` | output | 1 | 46,568 | 20 | 93,137 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,569 | 20 | 93,138 |
Tags: constructive algorithms
Correct Solution:
```
print("0??<>1\n1??<>2\n2??<>3\n3??<>4\n4??<>5\n5??<>6\n6??<>7\n7??<>8\n8??<>9\n9??>>??0\n??<>1\n?0>>0?\n?1>>1?\n?2>>2?\n?3>>3?\n?4>>4?\n?5>>5?\n?6>>6?\n?7>>7?\n?8>>8?\n?9>>9?\n>>?")
``` | output | 1 | 46,569 | 20 | 93,139 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,570 | 20 | 93,140 |
Tags: constructive algorithms
Correct Solution:
```
print('9??>>??0')
for i in range(9):
print('{}??<>{}'.format(i, i + 1))
print('??<>1')
for i in range(10):
print('?{0}>>{0}?'.format(i))
print('?>>??')
print('>>?')
``` | output | 1 | 46,570 | 20 | 93,141 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,571 | 20 | 93,142 |
Tags: constructive algorithms
Correct Solution:
```
print('9??>>??0')
for i in range(9):
print('{}??<>{}'.format(i, i + 1))
print('??<>1')
for i in range(10):
print('?{0}>>{0}?'.format(i))
print('?>>??')
print('>>?')
# Made By Mostafa_Khaled
``` | output | 1 | 46,571 | 20 | 93,143 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Yaroslav likes algorithms. We'll describe one of his favorite algorithms.
1. The algorithm receives a string as the input. We denote this input string as a.
2. The algorithm consists of some number of command. Сommand number i looks either as si >> wi, or as si <> wi, where si and wi are some possibly empty strings of length at most 7, consisting of digits and characters "?".
3. At each iteration, the algorithm looks for a command with the minimum index i, such that si occurs in a as a substring. If this command is not found the algorithm terminates.
4. Let's denote the number of the found command as k. In string a the first occurrence of the string sk is replaced by string wk. If the found command at that had form sk >> wk, then the algorithm continues its execution and proceeds to the next iteration. Otherwise, the algorithm terminates.
5. The value of string a after algorithm termination is considered to be the output of the algorithm.
Yaroslav has a set of n positive integers, he needs to come up with his favorite algorithm that will increase each of the given numbers by one. More formally, if we consider each number as a string representing the decimal representation of the number, then being run on each of these strings separately, the algorithm should receive the output string that is a recording of the corresponding number increased by one.
Help Yaroslav.
Input
The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the set. The next n lines contains one positive integer each. All the given numbers are less than 1025.
Output
Print the algorithm which can individually increase each number of the set. In the i-th line print the command number i without spaces.
Your algorithm will be launched for each of these numbers. The answer will be considered correct if:
* Each line will a correct algorithm command (see the description in the problem statement).
* The number of commands should not exceed 50.
* The algorithm will increase each of the given numbers by one.
* To get a respond, the algorithm will perform no more than 200 iterations for each number.
Examples
Input
2
10
79
Output
10<>11
79<>80 | instruction | 0 | 46,572 | 20 | 93,144 |
Tags: constructive algorithms
Correct Solution:
```
print ( """0??<>1
1??<>2
2??<>3
3??<>4
4??<>5
5??<>6
6??<>7
7??<>8
8??<>9
9??>>??0
??<>1
?0>>0?
?1>>1?
?2>>2?
?3>>3?
?4>>4?
?5>>5?
?6>>6?
?7>>7?
?8>>8?
?9>>9?
?>>??
>>?""" )
``` | output | 1 | 46,572 | 20 | 93,145 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,576 | 20 | 93,152 |
Tags: implementation
Correct Solution:
```
import sys
c = [int(s) for s in input().split()]
d = c[1] - c[0]
c1 = [c[0]]
for i in range(len(c)):
c1.append(c1[-1]+d)
d1 = c[1] / c[0]
c2 = [c[0]]
for i in range(len(c)):
c2.append(c2[-1]*d1)
if c + [(c[-1] + d)] == c1:
print(c1[-1])
sys.exit()
if c + [(c[-1] * d1)] == c2 and c2[-1] == int(c2[-1]):
print(int(c2[-1]))
sys.exit()
print(42)
``` | output | 1 | 46,576 | 20 | 93,153 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,577 | 20 | 93,154 |
Tags: implementation
Correct Solution:
```
a,b,c,d=map(int,input().split())
r=42
if b-a==c-b==d-c:r=d+b-a
if b/a==c/b==d/c==int(d*c/b)/d:r=int(d*c/b)
print(r)
``` | output | 1 | 46,577 | 20 | 93,155 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,578 | 20 | 93,156 |
Tags: implementation
Correct Solution:
```
a, b, c, d = map(int, input().split())
if b - a == c - b == d - c:
print(d + (d - c))
elif b * b == a * c and c * c == b * d and (d * d) % c == 0:
print((d * d) // c)
else:
print(42)
``` | output | 1 | 46,578 | 20 | 93,157 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,579 | 20 | 93,158 |
Tags: implementation
Correct Solution:
```
def main():
a, b, c, d = [int(i) for i in input().split()]
p1, p2, p3 = b - a, c - b, d - c
q1, q2, q3 = b / a, c / b, d / c
if(p1 == p2 == p3):
print(d + p3)
elif(q1 == q2 == q3 and q1 != 1 and int(d * q3) == d * q3):
print(int(d * q3))
else:
print(42)
main()
``` | output | 1 | 46,579 | 20 | 93,159 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,580 | 20 | 93,160 |
Tags: implementation
Correct Solution:
```
def isZ(a):
return a == int(a)
def geom(a,b,c,d):
if 0 in (a,b,c,d) and not (a==b==c==d==0):
return False
if(b/a==c/b==d/c):
nxt = d * (d/c)
if not isZ(nxt): return False
print(int(nxt))
return True
return False
def ar(a,b,c,d):
if(b-a==c-b==d-c):
print(int(2*d-c))
return True
return False
a,b,c,d = map(float,input().split())
if not geom(a,b,c,d) and not ar(a,b,c,d):
print(42)
``` | output | 1 | 46,580 | 20 | 93,161 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,581 | 20 | 93,162 |
Tags: implementation
Correct Solution:
```
nums = [int(x) for x in input().split()]
history1 = []
history2 = []
for idx in range(4):
if idx != 3:
a, b = nums[idx], nums[idx+1]
history1.append(b-a)
history2.append(b/a)
if len(set(history1)) == 1:
print(nums[-1]+history1[0])
elif len(set(history2)) == 1 and nums[-1]*history2[0] == int(nums[-1]*history2[0]):
print(int(nums[-1]*history2[0]))
else:
print(42)
``` | output | 1 | 46,581 | 20 | 93,163 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,582 | 20 | 93,164 |
Tags: implementation
Correct Solution:
```
import sys
n=input().split()
a=int(n[0])
b=int(n[1])
c=int(n[2])
d=int(n[3])
if(b-a==c-b==d-c):
print(2*d-c)
sys.exit()
if(b*b==a*c and c*c==b*d):
if(d*d%c==0):
print(d*d//c)
else:
print(42)
sys.exit()
print(42)
``` | output | 1 | 46,582 | 20 | 93,165 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests! | instruction | 0 | 46,583 | 20 | 93,166 |
Tags: implementation
Correct Solution:
```
a=list(map(int,input().split()));n=len(a);o=1;d=a[1]-a[0];ok=1
for i in range(n-1):
if(a[i+1]-a[i]!=d):ok=0
if(ok):
print(a[n-1]+d)
o=0
d=a[1]/a[0];ok=1
for i in range(n-1):
if(a[i+1]/a[i]!=d):ok=0
if(ok and o):
o=0
if(int(a[n-1]*d)==a[n-1]*d):print(int(a[n-1]*d))
else:o=1
if(o):print(42)
``` | output | 1 | 46,583 | 20 | 93,167 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests!
Submitted Solution:
```
import sys
def solve():
a = list(map(int, input().split()))
diffs = list()
for i in range(3):
diffs.append(a[i+1]-a[i])
if diffs[0] == diffs[1] == diffs[2]:
return a[3] + diffs[0]
# print(diffs)
if a[1] / a[0] == a[2] / a[1] == a[3] / a[2]:
val = a[3] * diffs[2] / diffs[1]
if abs(val - int(val)) < 1e-6:
return int(val)
return 42
if sys.hexversion == 50594544 : sys.stdin = open("test.txt")
print(solve())
``` | instruction | 0 | 46,584 | 20 | 93,168 |
Yes | output | 1 | 46,584 | 20 | 93,169 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests!
Submitted Solution:
```
class CodeforcesTask328ASolution:
def __init__(self):
self.result = ''
self.progression = []
def read_input(self):
self.progression = [int(x) for x in input().split(" ")]
def process_task(self):
arit = [self.progression[x] - self.progression[x - 1] for x in range(1, len(self.progression))]
if arit[0] == arit[1] == arit[2]:
self.result = str(self.progression[-1] + arit[0])
else:
geo = [self.progression[x] / self.progression[x - 1] for x in range(1, len(self.progression))]
if geo[0] == geo[1] == geo[2]:
if (geo[0] * self.progression[-1]).is_integer():
self.result = str(int(geo[0] * self.progression[-1]))
else:
self.result = "42"
else:
self.result = "42"
def get_result(self):
return self.result
if __name__ == "__main__":
Solution = CodeforcesTask328ASolution()
Solution.read_input()
Solution.process_task()
print(Solution.get_result())
``` | instruction | 0 | 46,585 | 20 | 93,170 |
Yes | output | 1 | 46,585 | 20 | 93,171 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests!
Submitted Solution:
```
from fractions import Fraction
v = [int(x) for x in input().split()]
d = [v[i+1]-v[i] for i in range(3)]
if d[0]==d[1] and d[1]==d[2]:
print(v[3]+d[0])
exit(0)
r=[Fraction(v[i+1],v[i]) for i in range(3)]
f=v[3]*r[0]
if r[0]==r[1] and r[1]==r[2] and f.denominator==1:
print(f)
exit(0)
print(42)
``` | instruction | 0 | 46,586 | 20 | 93,172 |
Yes | output | 1 | 46,586 | 20 | 93,173 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests!
Submitted Solution:
```
def test_arithmetic(in_list):
arithmetic = True
current_nr = in_list[0]
dif = in_list[1] - in_list[0]
for nr in in_list[1:]:
if nr - current_nr != dif:
arithmetic = False
else:
current_nr = nr
if arithmetic:
next = nr + dif
return next
else:
return 42
def test_geometric(in_list):
geometric = True
for nr in in_list:
if nr == 0:
return False
else:
quotient = in_list[1] / in_list[0]
current_nr = in_list[0]
for nr in in_list[1:]:
if nr / current_nr != quotient:
geometric = False
else:
current_nr = nr
if geometric:
next = nr * quotient
return next
else:
return 42
if __name__ == "__main__":
in_numbers = list(map(int, input().split()))
answer_ari = test_arithmetic(in_numbers)
answer_geo = test_geometric(in_numbers)
if answer_ari != 42:
print(int(answer_ari))
else:
print(int(answer_geo))
``` | instruction | 0 | 46,589 | 20 | 93,178 |
No | output | 1 | 46,589 | 20 | 93,179 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests!
Submitted Solution:
```
arr = [int(i) for i in input().split()]
q = arr[1]/arr[0]
d = arr[1] - arr[0]
if arr[2]/arr[1] == q and arr[3]/arr[2] == q:
if int(arr[3]*q) == arr[3]*q:
print(arr[3]*int(q))
else:
print(42)
elif arr[2]-arr[1]==d and arr[3]-arr[2] == d:
print(arr[3]+d)
else:
print(42)
``` | instruction | 0 | 46,590 | 20 | 93,180 |
No | output | 1 | 46,590 | 20 | 93,181 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya is preparing for IQ test and he has noticed that there many problems like: you are given a sequence, find the next number. Now Petya can solve only problems with arithmetic or geometric progressions.
Arithmetic progression is a sequence a1, a1 + d, a1 + 2d, ..., a1 + (n - 1)d, where a1 and d are any numbers.
Geometric progression is a sequence b1, b2 = b1q, ..., bn = bn - 1q, where b1 ≠ 0, q ≠ 0, q ≠ 1.
Help Petya and write a program to determine if the given sequence is arithmetic or geometric. Also it should found the next number. If the sequence is neither arithmetic nor geometric, print 42 (he thinks it is impossible to find better answer). You should also print 42 if the next element of progression is not integer. So answer is always integer.
Input
The first line contains exactly four integer numbers between 1 and 1000, inclusively.
Output
Print the required number. If the given sequence is arithmetic progression, print the next progression element. Similarly, if the given sequence is geometric progression, print the next progression element.
Print 42 if the given sequence is not an arithmetic or geometric progression.
Examples
Input
836 624 412 200
Output
-12
Input
1 334 667 1000
Output
1333
Note
This problem contains very weak pretests!
Submitted Solution:
```
def main():
a, b, c, d = [int(i) for i in input().split()]
p1, p2, p3 = b - a, c - b, d - c
q1, q2, q3 = b / a, c / b, d / c
if(p1 == p2 == p3):
print(d + p3)
elif(q1 == q2 == q3 and q1 != 1):
print(int(d * q3))
else:
print(42)
main()
``` | instruction | 0 | 46,591 | 20 | 93,182 |
No | output | 1 | 46,591 | 20 | 93,183 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,689 | 20 | 93,378 |
Tags: implementation, math
Correct Solution:
```
import math
n = input()
arr = [int(i) for i in n]
n = int(arr[0])*10000+int(arr[2])*1000+int(arr[4])*100+int(arr[3])*10+int(arr[1])
n = (n**5) % 100000
print('%05d' % n)
``` | output | 1 | 46,689 | 20 | 93,379 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,690 | 20 | 93,380 |
Tags: implementation, math
Correct Solution:
```
n = input()
m = []
m.append(n[0])
m.append(n[2])
m.append(n[4])
m.append(n[3])
m.append(n[1])
m = ''.join(m)
m = int(m)
m = (m ** 5) % (10**5)
m = str(m)
for i in range(5-len(m)):
print('0', end='')
print(m)
``` | output | 1 | 46,690 | 20 | 93,381 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,691 | 20 | 93,382 |
Tags: implementation, math
Correct Solution:
```
import sys
import math
Number = int(input())
arr = []
for i in range(5):
arr.append(1)
arr[0] = int((Number/10000)%10);
arr[1] = int((Number/1000)%10);
arr[2] = int((Number/100)%10);
arr[3] = int((Number/10)%10);
arr[4] = Number%10;
NewNumber = int(arr[0]*10000+arr[2]*1000+arr[4]*100+arr[3]*10+arr[1])
NewNumber = NewNumber*NewNumber*NewNumber*NewNumber*NewNumber
arr[4] = (NewNumber%10)
arr[3] = int(NewNumber%100/10)
arr[2] = int(NewNumber%1000/100)
arr[1] = int(NewNumber%10000/1000)
arr[0] = int(NewNumber%100000/10000)
#Result = str(arr[0]*10000+arr[1]*1000+arr[2]*100+arr[3]*10+arr[4])
Result = str(arr[0])
Result += str(arr[1])
Result += str(arr[2])
Result += str(arr[3])
Result += str(arr[4])
print(Result)
``` | output | 1 | 46,691 | 20 | 93,383 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,692 | 20 | 93,384 |
Tags: implementation, math
Correct Solution:
```
n = input()
n = int(n[0] + n[2] + n[4] + n[3] + n[1])
print(str(n**5)[-5:])
``` | output | 1 | 46,692 | 20 | 93,385 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,693 | 20 | 93,386 |
Tags: implementation, math
Correct Solution:
```
s = input()
n = int(s[0] + s[2] + s[4] + s[3] + s[1])
res = n ** 5 % (10 ** 5)
st = ""
n = res
if n < 10:
st += "0"
if n < 100:
st += "0"
if n < 1000:
st += "0"
if n < 10000:
st += "0"
print(st, res, sep="")
``` | output | 1 | 46,693 | 20 | 93,387 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,694 | 20 | 93,388 |
Tags: implementation, math
Correct Solution:
```
num = input()
digits = [int(z) for z in list(num)]
stg1 = [digits[0], digits[2], digits[4], digits[3], digits[1]]
stg2 = str(int(''.join([str(w) for w in stg1])) ** 5)
print(stg2[-5:])
``` | output | 1 | 46,694 | 20 | 93,389 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,695 | 20 | 93,390 |
Tags: implementation, math
Correct Solution:
```
def shuffle(s):
ans = s[0] + s[2] + s[4] + s[3] + s[1]
return ans
s = input()
s = shuffle(s)
s = int(s)
s = s**5
s = str(s)
a = int(len(s)) - 5
b = int(len(s))
for i in range(a, b):
print(s[i], sep='', end='')
``` | output | 1 | 46,695 | 20 | 93,391 |
Provide tags and a correct Python 3 solution for this coding contest problem.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232 | instruction | 0 | 46,696 | 20 | 93,392 |
Tags: implementation, math
Correct Solution:
```
inp = input()
shuf = inp[0] + inp[2] + inp[4] + inp[3] + inp[1]
shuf = int(shuf)**5
print("{:0>5d}".format(shuf % 100000))
``` | output | 1 | 46,696 | 20 | 93,393 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
n = int(input())
print(str(pow(n//10000*10000+n//100%10*1000+n%10*100+n//10%10*10+n//1000%10,5,100000)).zfill(5))
``` | instruction | 0 | 46,697 | 20 | 93,394 |
Yes | output | 1 | 46,697 | 20 | 93,395 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
s = input()
t = s[0] + s[2] + s[4] + s[3] + s[1]
print(str(int(t)**5)[-5:])
``` | instruction | 0 | 46,698 | 20 | 93,396 |
Yes | output | 1 | 46,698 | 20 | 93,397 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
n = input()
n = n[0] + n[2] + n[4] + n[3] + n[1]
n = (int(n))
d = str(pow(n, 5) % 100000)
print("0" * (5 - len(d)) + d)
``` | instruction | 0 | 46,699 | 20 | 93,398 |
Yes | output | 1 | 46,699 | 20 | 93,399 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
#!/usr/local/bin/python3
a = input()
n = int(a[0] + a[2] + a[4] + a[3] + a[1])
print(str(n ** 5)[-5:])
``` | instruction | 0 | 46,700 | 20 | 93,400 |
Yes | output | 1 | 46,700 | 20 | 93,401 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
s = input()
s = s[0] + s[2] + s[4] + s[3] + s[1]
print(pow(int(s), 5, 100000))
``` | instruction | 0 | 46,701 | 20 | 93,402 |
No | output | 1 | 46,701 | 20 | 93,403 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
from math import factorial as fac
def solve():
s = input()
a = ""
a = s[0] + s[2] + s[4] + s[3] + s[1]
a = int(a)
a = a ** 5
print(a % (10 ** 5))
if __name__ == '__main__':
solve()
``` | instruction | 0 | 46,702 | 20 | 93,404 |
No | output | 1 | 46,702 | 20 | 93,405 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
s = input()
p = int(s[0]+s[2]+s[4]+s[3]+s[1])
p = (p ** 5) % (10**5)
print(p)
``` | instruction | 0 | 46,703 | 20 | 93,406 |
No | output | 1 | 46,703 | 20 | 93,407 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.
A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.
The found algorithm looks the following way. At first the digits of the number are shuffled in the following order <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455 422 043 125 550 171 232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.
Vasya is going to write a keygen program implementing this algorithm. Can you do the same?
Input
The only line of the input contains a positive integer five digit number for which the activation code should be found.
Output
Output exactly 5 digits without spaces between them — the found activation code of the program.
Examples
Input
12345
Output
71232
Submitted Solution:
```
n = input()
x = n[0] + n[2] + n[4] + n[3] + n[1]
p = int(x)**5 % 100000
print((p / 100000), (p % 100000 / 10000), (p % 10000 / 100), (p % 100 / 10), (p % 10))
``` | instruction | 0 | 46,704 | 20 | 93,408 |
No | output | 1 | 46,704 | 20 | 93,409 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Karen has just arrived at school, and she has a math test today!
<image>
The test is about basic addition and subtraction. Unfortunately, the teachers were too busy writing tasks for Codeforces rounds, and had no time to make an actual test. So, they just put one question in the test that is worth all the points.
There are n integers written on a row. Karen must alternately add and subtract each pair of adjacent integers, and write down the sums or differences on the next row. She must repeat this process on the values on the next row, and so on, until only one integer remains. The first operation should be addition.
Note that, if she ended the previous row by adding the integers, she should start the next row by subtracting, and vice versa.
The teachers will simply look at the last integer, and then if it is correct, Karen gets a perfect score, otherwise, she gets a zero for the test.
Karen has studied well for this test, but she is scared that she might make a mistake somewhere and it will cause her final answer to be wrong. If the process is followed, what number can she expect to be written on the last row?
Since this number can be quite large, output only the non-negative remainder after dividing it by 109 + 7.
Input
The first line of input contains a single integer n (1 ≤ n ≤ 200000), the number of numbers written on the first row.
The next line contains n integers. Specifically, the i-th one among these is ai (1 ≤ ai ≤ 109), the i-th number on the first row.
Output
Output a single integer on a line by itself, the number on the final row after performing the process above.
Since this number can be quite large, print only the non-negative remainder after dividing it by 109 + 7.
Examples
Input
5
3 6 9 12 15
Output
36
Input
4
3 7 5 2
Output
1000000006
Note
In the first test case, the numbers written on the first row are 3, 6, 9, 12 and 15.
Karen performs the operations as follows:
<image>
The non-negative remainder after dividing the final number by 109 + 7 is still 36, so this is the correct output.
In the second test case, the numbers written on the first row are 3, 7, 5 and 2.
Karen performs the operations as follows:
<image>
The non-negative remainder after dividing the final number by 109 + 7 is 109 + 6, so this is the correct output. | instruction | 0 | 46,766 | 20 | 93,532 |
Tags: brute force, combinatorics, constructive algorithms, math
Correct Solution:
```
#!/usr/bin/env python3
from sys import stdin, stdout
def main():
N = 400005
MOD = 10 ** 9 + 7
fact = [1] + [i+1 for i in range(N)]
for i in range(1, N + 1):
fact[i] *= fact[i - 1]
fact[i] %= MOD
def inv(n): return pow(n, MOD - 2, MOD)
def simplex(n, k):
if n == 0: return 1
if k == 0: return 0
return fact[n + k - 1] * inv(fact[n]) * inv(fact[k - 1]) % MOD
def F1(z, i):
if z == 1:
return 1
if z % 4 == 2:
x = z // 4 * 2
j = i % 4
if j == 0:
return simplex(x, i // 4 * 2 + 1)
elif j == 1:
return simplex(x, i // 4 * 2 + 1) * 2 % MOD
elif j == 2:
return MOD - simplex(x, i // 4 * 2 + 2)
else:
return 0
elif z % 4 == 0:
if i == 0:
return MOD - 1
if i == 1:
return 0
i -= 2
x = z // 4 * 2 - 1
j = i % 4
if j == 0:
return simplex(x, i // 4 * 2 + 2)
elif j == 1:
return simplex(x, i // 4 * 2 + 2) * 2 % MOD
elif j == 2:
return MOD - simplex(x, i // 4 * 2 + 3)
else:
return 0
elif z % 4 == 3:
if i == 0:
return MOD - 1
i -= 1
x = z // 4 * 2 + 1
y = z // 4 * 2 - 1
j = i % 4
if j % 4 == 0:
return simplex(x, i // 4 * 2 + 1)
elif j % 4 == 1 or j % 4 == 2:
return simplex(x, i // 4 * 2 + 2)
else:
z1 = 0 if y < 0 else simplex(y, i // 4 * 2 + 3)
ans = simplex(x, i // 4 * 2 + 1) - z1
if ans < 0: ans += MOD
return ans
else:
if i < 2:
return 1
if i == 2:
return MOD - (z // 4 * 2 - 1)
i -= 3
x = z // 4 * 2
y = z // 4 * 2 - 2
j = i % 4
if j % 4 == 0:
return simplex(x, i // 4 * 2 + 2)
elif j % 4 == 1 or j % 4 == 2:
return simplex(x, i // 4 * 2 + 3)
else:
z1 = 0 if y < 0 else simplex(y, i // 4 * 2 + 4)
ans = simplex(x, i // 4 * 2 + 2) - z1
if ans < 0: ans += MOD
return ans
def F2(n):
if n == 1: return [1]
return [F1(i, n - i) for i in range(1, n + 1)]
n = int(stdin.readline())
a = [int(x) for x in stdin.readline().split()]
coeffs = F2(n)
ans = 0
for c, x in zip(coeffs, a):
ans += c * x % MOD
if ans >= MOD:
ans -= MOD
stdout.write('{}\n'.format(ans))
if __name__ == "__main__":
main()
``` | output | 1 | 46,766 | 20 | 93,533 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Karen has just arrived at school, and she has a math test today!
<image>
The test is about basic addition and subtraction. Unfortunately, the teachers were too busy writing tasks for Codeforces rounds, and had no time to make an actual test. So, they just put one question in the test that is worth all the points.
There are n integers written on a row. Karen must alternately add and subtract each pair of adjacent integers, and write down the sums or differences on the next row. She must repeat this process on the values on the next row, and so on, until only one integer remains. The first operation should be addition.
Note that, if she ended the previous row by adding the integers, she should start the next row by subtracting, and vice versa.
The teachers will simply look at the last integer, and then if it is correct, Karen gets a perfect score, otherwise, she gets a zero for the test.
Karen has studied well for this test, but she is scared that she might make a mistake somewhere and it will cause her final answer to be wrong. If the process is followed, what number can she expect to be written on the last row?
Since this number can be quite large, output only the non-negative remainder after dividing it by 109 + 7.
Input
The first line of input contains a single integer n (1 ≤ n ≤ 200000), the number of numbers written on the first row.
The next line contains n integers. Specifically, the i-th one among these is ai (1 ≤ ai ≤ 109), the i-th number on the first row.
Output
Output a single integer on a line by itself, the number on the final row after performing the process above.
Since this number can be quite large, print only the non-negative remainder after dividing it by 109 + 7.
Examples
Input
5
3 6 9 12 15
Output
36
Input
4
3 7 5 2
Output
1000000006
Note
In the first test case, the numbers written on the first row are 3, 6, 9, 12 and 15.
Karen performs the operations as follows:
<image>
The non-negative remainder after dividing the final number by 109 + 7 is still 36, so this is the correct output.
In the second test case, the numbers written on the first row are 3, 7, 5 and 2.
Karen performs the operations as follows:
<image>
The non-negative remainder after dividing the final number by 109 + 7 is 109 + 6, so this is the correct output. | instruction | 0 | 46,767 | 20 | 93,534 |
Tags: brute force, combinatorics, constructive algorithms, math
Correct Solution:
```
n = int(input())
p = list(map(int,input().split()))
MOD = 10**9+7
mode = 0
if n%4 == 3:
n-= 1
new = []
for i in range(n):
if mode == 0: new.append(p[i]+p[i+1])
else: new.append(p[i]-p[i+1])
mode = 1-mode
p = new
def calc0(p):
res = 0
ncr = 1
n = len(p)//2-1
for i in range(n+1):
res = (res+ncr*(p[i*2]-p[i*2+1])) % MOD
ncr = (ncr*(n-i)*pow(i+1,MOD-2,MOD)) % MOD
return res
def calc1(p):
res = 0
ncr = 1
n = len(p)//2
for i in range(n+1):
res = (res+ncr*(p[i*2])) % MOD
ncr = (ncr*(n-i)*pow(i+1,MOD-2,MOD)) % MOD
return res
def calc2(p):
res = 0
ncr = 1
n = len(p)//2-1
for i in range(n+1):
res = (res+ncr*(p[i*2]+p[i*2+1])) % MOD
ncr = (ncr*(n-i)*pow(i+1,MOD-2,MOD)) % MOD
return res
print([calc0,calc1,calc2,-1][n%4](p))
``` | output | 1 | 46,767 | 20 | 93,535 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,116 | 20 | 94,232 |
Tags: brute force, number theory
Correct Solution:
```
n = input()
print(['NO', 'YES'][len(n) == n.count('4') + n.count('7') or any(int(n) % i == 0 for i in [4, 7, 47, 74, 44, 77, 444, 777, 477, 747, 774, 447, 474, 744])])
``` | output | 1 | 47,116 | 20 | 94,233 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,117 | 20 | 94,234 |
Tags: brute force, number theory
Correct Solution:
```
def solve(n):
if isLucky(n):
return "YES"
for x in range(2,n//2):
if n % x == 0 and (isLucky(x) or isLucky(n//x)):
return "YES"
return "NO"
def isLucky(n):
while n > 0:
digit = n % 10
if digit != 4 and digit != 7:
return False
n =n// 10
return True
if __name__ == "__main__":
n = int(input())
print(solve(n))
``` | output | 1 | 47,117 | 20 | 94,235 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,118 | 20 | 94,236 |
Tags: brute force, number theory
Correct Solution:
```
s = input()
l = ['4', '7', '47', '74', '444', '447', '477', '777']
if s in l:
print('YES')
elif 0 in [int(s) % int(i) for i in l]:
print('YES')
else:
print('NO')
``` | output | 1 | 47,118 | 20 | 94,237 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,119 | 20 | 94,238 |
Tags: brute force, number theory
Correct Solution:
```
n=int(input())
lis=[4,7,47,74,44,444,447,474,477,777,774,744,747]
for i in lis:
i=int(i)
for i in lis:
if n%i==0:
Flag=True
break;
else:
Flag=False
if Flag==True:
print("YES")
else:
print("NO")
``` | output | 1 | 47,119 | 20 | 94,239 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,120 | 20 | 94,240 |
Tags: brute force, number theory
Correct Solution:
```
n = int(input())
if n%4==0 or n%7==0 or n%44==0 or n%47==0 or n%74==0 or n%444==0 or n%447==0 or n%474==0 or n%744==0 or n%477==0 or n%774==0 or n%777==0:
print('YES')
else:
print('NO')
``` | output | 1 | 47,120 | 20 | 94,241 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,121 | 20 | 94,242 |
Tags: brute force, number theory
Correct Solution:
```
happy_numbers = [4, 7, 44, 47, 74, 77, 444, 447, 477, 774, 744, 747, 474, 777]
def happy_divisibility(number):
for elem in happy_numbers:
if number % elem == 0:
return "YES"
return "NO"
n = int(input())
print(happy_divisibility(n))
``` | output | 1 | 47,121 | 20 | 94,243 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,122 | 20 | 94,244 |
Tags: brute force, number theory
Correct Solution:
```
def is_almost_lucky(n):
lucky_numbers = [4,7,44,47,74,77, 444, 447, 474, 477, 744, \
774, 777]
for i in lucky_numbers:
if n%i==0:
return "YES"
return "NO"
if __name__ == "__main__":
x = input()
print(is_almost_lucky(int(x)))
``` | output | 1 | 47,122 | 20 | 94,245 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | instruction | 0 | 47,123 | 20 | 94,246 |
Tags: brute force, number theory
Correct Solution:
```
def lucky(a):
c = True
while a != 0:
b = a % 10
a = a // 10
if b != 4 and b != 7:
c = False
a = 0
return c
n = int(input())
division = []
c = 0
for i in range(1 , n + 1):
if n % i == 0:
division.append(i)
for i in division:
if lucky(i) and c == 0:
print('YES')
c = 1
if c == 0:
print('NO')
``` | output | 1 | 47,123 | 20 | 94,247 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number n is almost lucky.
Input
The single line contains an integer n (1 ≤ n ≤ 1000) — the number that needs to be checked.
Output
In the only line print "YES" (without the quotes), if number n is almost lucky. Otherwise, print "NO" (without the quotes).
Examples
Input
47
Output
YES
Input
16
Output
YES
Input
78
Output
NO
Note
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4.
Submitted Solution:
```
n = int(input())
answer = "NO"
for i in range(1, n+1):
if str(i).count('7')+str(i).count('4') == len(str(i)) and n%i == 0:
answer = "YES"
break
print(answer)
``` | instruction | 0 | 47,124 | 20 | 94,248 |
Yes | output | 1 | 47,124 | 20 | 94,249 |
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