contestId int64 0 1.01k | index stringclasses 57 values | name stringlengths 2 58 | type stringclasses 2 values | rating int64 0 3.5k | tags listlengths 0 11 | title stringclasses 522 values | time-limit stringclasses 8 values | memory-limit stringclasses 8 values | problem-description stringlengths 0 7.15k | input-specification stringlengths 0 2.05k | output-specification stringlengths 0 1.5k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | points float64 0 425k | test_cases listlengths 0 402 | creationTimeSeconds int64 1.37B 1.7B | relativeTimeSeconds int64 8 2.15B | programmingLanguage stringclasses 3 values | verdict stringclasses 14 values | testset stringclasses 12 values | passedTestCount int64 0 1k | timeConsumedMillis int64 0 15k | memoryConsumedBytes int64 0 805M | code stringlengths 3 65.5k | prompt stringlengths 262 8.2k | response stringlengths 17 65.5k | score float64 -1 3.99 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
981 | A | Antipalindrome | PROGRAMMING | 900 | [
"brute force",
"implementation",
"strings"
] | null | null | A string is a palindrome if it reads the same from the left to the right and from the right to the left. For example, the strings "kek", "abacaba", "r" and "papicipap" are palindromes, while the strings "abb" and "iq" are not.
A substring $s[l \ldots r]$ ($1<=\leq<=l<=\leq<=r<=\leq<=|s|$) of a string $s<==<=s_{1}s_{2} \ldots s_{|s|}$ is the string $s_{l}s_{l<=+<=1} \ldots s_{r}$.
Anna does not like palindromes, so she makes her friends call her Ann. She also changes all the words she reads in a similar way. Namely, each word $s$ is changed into its longest substring that is not a palindrome. If all the substrings of $s$ are palindromes, she skips the word at all.
Some time ago Ann read the word $s$. What is the word she changed it into? | The first line contains a non-empty string $s$ with length at most $50$ characters, containing lowercase English letters only. | If there is such a substring in $s$ that is not a palindrome, print the maximum length of such a substring. Otherwise print $0$.
Note that there can be multiple longest substrings that are not palindromes, but their length is unique. | [
"mew\n",
"wuffuw\n",
"qqqqqqqq\n"
] | [
"3\n",
"5\n",
"0\n"
] | "mew" is not a palindrome, so the longest substring of it that is not a palindrome, is the string "mew" itself. Thus, the answer for the first example is $3$.
The string "uffuw" is one of the longest non-palindrome substrings (of length $5$) of the string "wuffuw", so the answer for the second example is $5$.
All substrings of the string "qqqqqqqq" consist of equal characters so they are palindromes. This way, there are no non-palindrome substrings. Thus, the answer for the third example is $0$. | 500 | [
{
"input": "mew",
"output": "3"
},
{
"input": "wuffuw",
"output": "5"
},
{
"input": "qqqqqqqq",
"output": "0"
},
{
"input": "ijvji",
"output": "4"
},
{
"input": "iiiiiii",
"output": "0"
},
{
"input": "wobervhvvkihcuyjtmqhaaigvvgiaahqmtjyuchikvvhvrebow"... | 1,527,923,037 | 2,147,483,647 | Python 3 | OK | TESTS | 133 | 93 | 7,065,600 | word = input()
if word == word[::-1]:
for i in range(len(word)):
slicedWord = word[i + 1:]
if slicedWord != slicedWord[::-1]:
print(len(word) - i - 1)
break
if len(slicedWord) == 0:
print(0)
break
else:
print(len(word)) | Title: Antipalindrome
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A string is a palindrome if it reads the same from the left to the right and from the right to the left. For example, the strings "kek", "abacaba", "r" and "papicipap" are palindromes, while the strings "abb" and "iq" are not.
A substring $s[l \ldots r]$ ($1<=\leq<=l<=\leq<=r<=\leq<=|s|$) of a string $s<==<=s_{1}s_{2} \ldots s_{|s|}$ is the string $s_{l}s_{l<=+<=1} \ldots s_{r}$.
Anna does not like palindromes, so she makes her friends call her Ann. She also changes all the words she reads in a similar way. Namely, each word $s$ is changed into its longest substring that is not a palindrome. If all the substrings of $s$ are palindromes, she skips the word at all.
Some time ago Ann read the word $s$. What is the word she changed it into?
Input Specification:
The first line contains a non-empty string $s$ with length at most $50$ characters, containing lowercase English letters only.
Output Specification:
If there is such a substring in $s$ that is not a palindrome, print the maximum length of such a substring. Otherwise print $0$.
Note that there can be multiple longest substrings that are not palindromes, but their length is unique.
Demo Input:
['mew\n', 'wuffuw\n', 'qqqqqqqq\n']
Demo Output:
['3\n', '5\n', '0\n']
Note:
"mew" is not a palindrome, so the longest substring of it that is not a palindrome, is the string "mew" itself. Thus, the answer for the first example is $3$.
The string "uffuw" is one of the longest non-palindrome substrings (of length $5$) of the string "wuffuw", so the answer for the second example is $5$.
All substrings of the string "qqqqqqqq" consist of equal characters so they are palindromes. This way, there are no non-palindrome substrings. Thus, the answer for the third example is $0$. | ```python
word = input()
if word == word[::-1]:
for i in range(len(word)):
slicedWord = word[i + 1:]
if slicedWord != slicedWord[::-1]:
print(len(word) - i - 1)
break
if len(slicedWord) == 0:
print(0)
break
else:
print(len(word))
``` | 3 | |
0 | none | none | none | 0 | [
"none"
] | null | null | One day student Vasya was sitting on a lecture and mentioned a string *s*1*s*2... *s**n*, consisting of letters "a", "b" and "c" that was written on his desk. As the lecture was boring, Vasya decided to complete the picture by composing a graph *G* with the following properties:
- *G* has exactly *n* vertices, numbered from 1 to *n*. - For all pairs of vertices *i* and *j*, where *i*<=≠<=*j*, there is an edge connecting them if and only if characters *s**i* and *s**j* are either equal or neighbouring in the alphabet. That is, letters in pairs "a"-"b" and "b"-"c" are neighbouring, while letters "a"-"c" are not.
Vasya painted the resulting graph near the string and then erased the string. Next day Vasya's friend Petya came to a lecture and found some graph at his desk. He had heard of Vasya's adventure and now he wants to find out whether it could be the original graph *G*, painted by Vasya. In order to verify this, Petya needs to know whether there exists a string *s*, such that if Vasya used this *s* he would produce the given graph *G*. | The first line of the input contains two integers *n* and *m* — the number of vertices and edges in the graph found by Petya, respectively.
Each of the next *m* lines contains two integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*,<=*u**i*<=≠<=*v**i*) — the edges of the graph *G*. It is guaranteed, that there are no multiple edges, that is any pair of vertexes appear in this list no more than once. | In the first line print "Yes" (without the quotes), if the string *s* Petya is interested in really exists and "No" (without the quotes) otherwise.
If the string *s* exists, then print it on the second line of the output. The length of *s* must be exactly *n*, it must consist of only letters "a", "b" and "c" only, and the graph built using this string must coincide with *G*. If there are multiple possible answers, you may print any of them. | [
"2 1\n1 2\n",
"4 3\n1 2\n1 3\n1 4\n"
] | [
"Yes\naa\n",
"No\n"
] | In the first sample you are given a graph made of two vertices with an edge between them. So, these vertices can correspond to both the same and adjacent letters. Any of the following strings "aa", "ab", "ba", "bb", "bc", "cb", "cc" meets the graph's conditions.
In the second sample the first vertex is connected to all three other vertices, but these three vertices are not connected with each other. That means that they must correspond to distinct letters that are not adjacent, but that is impossible as there are only two such letters: a and c. | 0 | [
{
"input": "2 1\n1 2",
"output": "Yes\naa"
},
{
"input": "4 3\n1 2\n1 3\n1 4",
"output": "No"
},
{
"input": "4 4\n1 2\n1 3\n1 4\n3 4",
"output": "Yes\nbacc"
},
{
"input": "1 0",
"output": "Yes\na"
},
{
"input": "8 28\n3 2\n4 2\n7 4\n6 3\n3 7\n8 1\n3 4\n5 1\n6 5\n5... | 1,465,384,655 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 77 | 5,120,000 | from collections import defaultdict,deque,Counter,OrderedDict
def main():
n,m = map(int,input().split())
adj = [[] for i in range(n+1)]
for i in range(m):
a,b = map(int,input().split())
adj[a].append(b)
adj[b].append(a)
ans = ["d"]*(n+1)
visited = [0] * (n + 1)
for i in range(1,n+1):
if len(adj[i]) == n-1:
visited[i] = 1
ans[i] = "b"
st = ans.index("d")
def dfs(st,ck):
if visited[st]: return
visited[st] = 1
ans[st] = ck
for i in adj[st]:
dfs(i,ck)
dfs(st,"a")
if "d" in ans:
st = ans.index("d")
dfs(st,"c")
if "d" in ans:
print("No")
else:
print("Yes")
print("".join(ans[1:]))
if __name__ == "__main__":
main() | Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day student Vasya was sitting on a lecture and mentioned a string *s*1*s*2... *s**n*, consisting of letters "a", "b" and "c" that was written on his desk. As the lecture was boring, Vasya decided to complete the picture by composing a graph *G* with the following properties:
- *G* has exactly *n* vertices, numbered from 1 to *n*. - For all pairs of vertices *i* and *j*, where *i*<=≠<=*j*, there is an edge connecting them if and only if characters *s**i* and *s**j* are either equal or neighbouring in the alphabet. That is, letters in pairs "a"-"b" and "b"-"c" are neighbouring, while letters "a"-"c" are not.
Vasya painted the resulting graph near the string and then erased the string. Next day Vasya's friend Petya came to a lecture and found some graph at his desk. He had heard of Vasya's adventure and now he wants to find out whether it could be the original graph *G*, painted by Vasya. In order to verify this, Petya needs to know whether there exists a string *s*, such that if Vasya used this *s* he would produce the given graph *G*.
Input Specification:
The first line of the input contains two integers *n* and *m* — the number of vertices and edges in the graph found by Petya, respectively.
Each of the next *m* lines contains two integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*,<=*u**i*<=≠<=*v**i*) — the edges of the graph *G*. It is guaranteed, that there are no multiple edges, that is any pair of vertexes appear in this list no more than once.
Output Specification:
In the first line print "Yes" (without the quotes), if the string *s* Petya is interested in really exists and "No" (without the quotes) otherwise.
If the string *s* exists, then print it on the second line of the output. The length of *s* must be exactly *n*, it must consist of only letters "a", "b" and "c" only, and the graph built using this string must coincide with *G*. If there are multiple possible answers, you may print any of them.
Demo Input:
['2 1\n1 2\n', '4 3\n1 2\n1 3\n1 4\n']
Demo Output:
['Yes\naa\n', 'No\n']
Note:
In the first sample you are given a graph made of two vertices with an edge between them. So, these vertices can correspond to both the same and adjacent letters. Any of the following strings "aa", "ab", "ba", "bb", "bc", "cb", "cc" meets the graph's conditions.
In the second sample the first vertex is connected to all three other vertices, but these three vertices are not connected with each other. That means that they must correspond to distinct letters that are not adjacent, but that is impossible as there are only two such letters: a and c. | ```python
from collections import defaultdict,deque,Counter,OrderedDict
def main():
n,m = map(int,input().split())
adj = [[] for i in range(n+1)]
for i in range(m):
a,b = map(int,input().split())
adj[a].append(b)
adj[b].append(a)
ans = ["d"]*(n+1)
visited = [0] * (n + 1)
for i in range(1,n+1):
if len(adj[i]) == n-1:
visited[i] = 1
ans[i] = "b"
st = ans.index("d")
def dfs(st,ck):
if visited[st]: return
visited[st] = 1
ans[st] = ck
for i in adj[st]:
dfs(i,ck)
dfs(st,"a")
if "d" in ans:
st = ans.index("d")
dfs(st,"c")
if "d" in ans:
print("No")
else:
print("Yes")
print("".join(ans[1:]))
if __name__ == "__main__":
main()
``` | 0 | |
766 | B | Mahmoud and a Triangle | PROGRAMMING | 1,000 | [
"constructive algorithms",
"geometry",
"greedy",
"math",
"number theory",
"sortings"
] | null | null | Mahmoud has *n* line segments, the *i*-th of them has length *a**i*. Ehab challenged him to use exactly 3 line segments to form a non-degenerate triangle. Mahmoud doesn't accept challenges unless he is sure he can win, so he asked you to tell him if he should accept the challenge. Given the lengths of the line segments, check if he can choose exactly 3 of them to form a non-degenerate triangle.
Mahmoud should use exactly 3 line segments, he can't concatenate two line segments or change any length. A non-degenerate triangle is a triangle with positive area. | The first line contains single integer *n* (3<=≤<=*n*<=≤<=105) — the number of line segments Mahmoud has.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the lengths of line segments Mahmoud has. | In the only line print "YES" if he can choose exactly three line segments and form a non-degenerate triangle with them, and "NO" otherwise. | [
"5\n1 5 3 2 4\n",
"3\n4 1 2\n"
] | [
"YES\n",
"NO\n"
] | For the first example, he can use line segments with lengths 2, 4 and 5 to form a non-degenerate triangle. | 1,000 | [
{
"input": "5\n1 5 3 2 4",
"output": "YES"
},
{
"input": "3\n4 1 2",
"output": "NO"
},
{
"input": "30\n197 75 517 39724 7906061 1153471 3 15166 168284 3019844 272293 316 16 24548 42 118 5792 5 9373 1866366 4886214 24 2206 712886 104005 1363 836 64273 440585 3576",
"output": "NO"
},... | 1,686,216,107 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 20 | 77 | 12,800,000 | """
B. Mahmoud and a Triangle: constructive algorithms, geometry, greedy, math, number theory, sortings
time limit per test: 2 seconds
memory limit per test: 256 megabytes
input: standard input
output: standard output
Mahmoud has n line segments, the i-th of them has length ai.
Ehab challenged him to use exactly 3 line segments to form a non-degenerate triangle.
Mahmoud doesn't accept challenges unless he is sure he can win, so he asked you to tell him if he should accept the challenge.
Given the lengths of the line segments, check if he can choose exactly 3 of them to form a non-degenerate triangle.
Mahmoud should use exactly 3 line segments, he can't concatenate two line segments or change any length.
A non-degenerate triangle is a triangle with positive area.
Input
The first line contains single integer n (3 ≤ n ≤ 10^5) — the number of line segments Mahmoud has.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10^9) — the lengths of line segments Mahmoud has.
Output
In the only line print "YES" if he can choose exactly three line segments and form a non-degenerate triangle with them, and "NO" otherwise.
"""
def mahmoud_and_a_triangle():
n = int(input())
a = list(map(int, input().split(' ')))
a.sort()
# print(sum(a[-3:-1]))
# print(a.index(n - 1))
print('YES' if sum(a[-3:-1]) > max(a) else 'NO')
# print()
# for i in a[-3:-1]:
# print(i)
if __name__ == '__main__':
mahmoud_and_a_triangle() | Title: Mahmoud and a Triangle
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mahmoud has *n* line segments, the *i*-th of them has length *a**i*. Ehab challenged him to use exactly 3 line segments to form a non-degenerate triangle. Mahmoud doesn't accept challenges unless he is sure he can win, so he asked you to tell him if he should accept the challenge. Given the lengths of the line segments, check if he can choose exactly 3 of them to form a non-degenerate triangle.
Mahmoud should use exactly 3 line segments, he can't concatenate two line segments or change any length. A non-degenerate triangle is a triangle with positive area.
Input Specification:
The first line contains single integer *n* (3<=≤<=*n*<=≤<=105) — the number of line segments Mahmoud has.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the lengths of line segments Mahmoud has.
Output Specification:
In the only line print "YES" if he can choose exactly three line segments and form a non-degenerate triangle with them, and "NO" otherwise.
Demo Input:
['5\n1 5 3 2 4\n', '3\n4 1 2\n']
Demo Output:
['YES\n', 'NO\n']
Note:
For the first example, he can use line segments with lengths 2, 4 and 5 to form a non-degenerate triangle. | ```python
"""
B. Mahmoud and a Triangle: constructive algorithms, geometry, greedy, math, number theory, sortings
time limit per test: 2 seconds
memory limit per test: 256 megabytes
input: standard input
output: standard output
Mahmoud has n line segments, the i-th of them has length ai.
Ehab challenged him to use exactly 3 line segments to form a non-degenerate triangle.
Mahmoud doesn't accept challenges unless he is sure he can win, so he asked you to tell him if he should accept the challenge.
Given the lengths of the line segments, check if he can choose exactly 3 of them to form a non-degenerate triangle.
Mahmoud should use exactly 3 line segments, he can't concatenate two line segments or change any length.
A non-degenerate triangle is a triangle with positive area.
Input
The first line contains single integer n (3 ≤ n ≤ 10^5) — the number of line segments Mahmoud has.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 10^9) — the lengths of line segments Mahmoud has.
Output
In the only line print "YES" if he can choose exactly three line segments and form a non-degenerate triangle with them, and "NO" otherwise.
"""
def mahmoud_and_a_triangle():
n = int(input())
a = list(map(int, input().split(' ')))
a.sort()
# print(sum(a[-3:-1]))
# print(a.index(n - 1))
print('YES' if sum(a[-3:-1]) > max(a) else 'NO')
# print()
# for i in a[-3:-1]:
# print(i)
if __name__ == '__main__':
mahmoud_and_a_triangle()
``` | 0 | |
219 | A | k-String | PROGRAMMING | 1,000 | [
"implementation",
"strings"
] | null | null | A string is called a *k*-string if it can be represented as *k* concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string.
You are given a string *s*, consisting of lowercase English letters and a positive integer *k*. Your task is to reorder the letters in the string *s* in such a way that the resulting string is a *k*-string. | The first input line contains integer *k* (1<=≤<=*k*<=≤<=1000). The second line contains *s*, all characters in *s* are lowercase English letters. The string length *s* satisfies the inequality 1<=≤<=|*s*|<=≤<=1000, where |*s*| is the length of string *s*. | Rearrange the letters in string *s* in such a way that the result is a *k*-string. Print the result on a single output line. If there are multiple solutions, print any of them.
If the solution doesn't exist, print "-1" (without quotes). | [
"2\naazz\n",
"3\nabcabcabz\n"
] | [
"azaz\n",
"-1\n"
] | none | 500 | [
{
"input": "2\naazz",
"output": "azaz"
},
{
"input": "3\nabcabcabz",
"output": "-1"
},
{
"input": "1\na",
"output": "a"
},
{
"input": "2\nabba",
"output": "abab"
},
{
"input": "2\naaab",
"output": "-1"
},
{
"input": "7\nabacaba",
"output": "-1"
}... | 1,627,109,829 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 186 | 20,172,800 | n = int(input())
s=input()
ofc=sorted(s)
pack=ofc[::n]*n
if(ofc==sorted(pack)):
print(''.join(pack))
else:
print('-1')
print(pack) | Title: k-String
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A string is called a *k*-string if it can be represented as *k* concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string.
You are given a string *s*, consisting of lowercase English letters and a positive integer *k*. Your task is to reorder the letters in the string *s* in such a way that the resulting string is a *k*-string.
Input Specification:
The first input line contains integer *k* (1<=≤<=*k*<=≤<=1000). The second line contains *s*, all characters in *s* are lowercase English letters. The string length *s* satisfies the inequality 1<=≤<=|*s*|<=≤<=1000, where |*s*| is the length of string *s*.
Output Specification:
Rearrange the letters in string *s* in such a way that the result is a *k*-string. Print the result on a single output line. If there are multiple solutions, print any of them.
If the solution doesn't exist, print "-1" (without quotes).
Demo Input:
['2\naazz\n', '3\nabcabcabz\n']
Demo Output:
['azaz\n', '-1\n']
Note:
none | ```python
n = int(input())
s=input()
ofc=sorted(s)
pack=ofc[::n]*n
if(ofc==sorted(pack)):
print(''.join(pack))
else:
print('-1')
print(pack)
``` | 0 | |
818 | E | Card Game Again | PROGRAMMING | 1,900 | [
"binary search",
"data structures",
"number theory",
"two pointers"
] | null | null | Vova again tries to play some computer card game.
The rules of deck creation in this game are simple. Vova is given an existing deck of *n* cards and a magic number *k*. The order of the cards in the deck is fixed. Each card has a number written on it; number *a**i* is written on the *i*-th card in the deck.
After receiving the deck and the magic number, Vova removes *x* (possibly *x*<==<=0) cards from the top of the deck, *y* (possibly *y*<==<=0) cards from the bottom of the deck, and the rest of the deck is his new deck (Vova has to leave at least one card in the deck after removing cards). So Vova's new deck actually contains cards *x*<=+<=1, *x*<=+<=2, ... *n*<=-<=*y*<=-<=1, *n*<=-<=*y* from the original deck.
Vova's new deck is considered valid iff the product of all numbers written on the cards in his new deck is divisible by *k*. So Vova received a deck (possibly not a valid one) and a number *k*, and now he wonders, how many ways are there to choose *x* and *y* so the deck he will get after removing *x* cards from the top and *y* cards from the bottom is valid? | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*k*<=≤<=109).
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109) — the numbers written on the cards. | Print the number of ways to choose *x* and *y* so the resulting deck is valid. | [
"3 4\n6 2 8\n",
"3 6\n9 1 14\n"
] | [
"4\n",
"1\n"
] | In the first example the possible values of *x* and *y* are:
1. *x* = 0, *y* = 0; 1. *x* = 1, *y* = 0; 1. *x* = 2, *y* = 0; 1. *x* = 0, *y* = 1. | 0 | [
{
"input": "3 4\n6 2 8",
"output": "4"
},
{
"input": "3 6\n9 1 14",
"output": "1"
},
{
"input": "5 1\n1 3 1 3 1",
"output": "15"
},
{
"input": "5 1\n5 5 5 5 5",
"output": "15"
},
{
"input": "5 1\n5 4 4 4 4",
"output": "15"
},
{
"input": "100 1\n1 1 1 1... | 1,522,777,809 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 77 | 7,065,600 | count=0
def is_valid(l,k):
pro=1
for i in l:
pro=pro*i
if(pro%k==0):
return 1
else:
return 0
def e_card(l,k):
global count
if(is_valid(l,k)):
count+=1
if(len(l)==1):
return
else:
m=l[len(l)-1]
l.pop()
e_card(l,k)
l.append(m)
m=l[0]
l.pop(0)
e_card(l,k)
l.insert(0,m)
n,k=[int(x) for x in input().strip().split()]
e_card([int(x) for x in input().strip().split()],k)
print(count) | Title: Card Game Again
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vova again tries to play some computer card game.
The rules of deck creation in this game are simple. Vova is given an existing deck of *n* cards and a magic number *k*. The order of the cards in the deck is fixed. Each card has a number written on it; number *a**i* is written on the *i*-th card in the deck.
After receiving the deck and the magic number, Vova removes *x* (possibly *x*<==<=0) cards from the top of the deck, *y* (possibly *y*<==<=0) cards from the bottom of the deck, and the rest of the deck is his new deck (Vova has to leave at least one card in the deck after removing cards). So Vova's new deck actually contains cards *x*<=+<=1, *x*<=+<=2, ... *n*<=-<=*y*<=-<=1, *n*<=-<=*y* from the original deck.
Vova's new deck is considered valid iff the product of all numbers written on the cards in his new deck is divisible by *k*. So Vova received a deck (possibly not a valid one) and a number *k*, and now he wonders, how many ways are there to choose *x* and *y* so the deck he will get after removing *x* cards from the top and *y* cards from the bottom is valid?
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*k*<=≤<=109).
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109) — the numbers written on the cards.
Output Specification:
Print the number of ways to choose *x* and *y* so the resulting deck is valid.
Demo Input:
['3 4\n6 2 8\n', '3 6\n9 1 14\n']
Demo Output:
['4\n', '1\n']
Note:
In the first example the possible values of *x* and *y* are:
1. *x* = 0, *y* = 0; 1. *x* = 1, *y* = 0; 1. *x* = 2, *y* = 0; 1. *x* = 0, *y* = 1. | ```python
count=0
def is_valid(l,k):
pro=1
for i in l:
pro=pro*i
if(pro%k==0):
return 1
else:
return 0
def e_card(l,k):
global count
if(is_valid(l,k)):
count+=1
if(len(l)==1):
return
else:
m=l[len(l)-1]
l.pop()
e_card(l,k)
l.append(m)
m=l[0]
l.pop(0)
e_card(l,k)
l.insert(0,m)
n,k=[int(x) for x in input().strip().split()]
e_card([int(x) for x in input().strip().split()],k)
print(count)
``` | 0 | |
831 | A | Unimodal Array | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Array of integers is unimodal, if:
- it is strictly increasing in the beginning; - after that it is constant; - after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5,<=7,<=11,<=11,<=2,<=1], [4,<=4,<=2], [7], but the following three are not unimodal: [5,<=5,<=6,<=6,<=1], [1,<=2,<=1,<=2], [4,<=5,<=5,<=6].
Write a program that checks if an array is unimodal. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000) — the elements of the array. | Print "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower). | [
"6\n1 5 5 5 4 2\n",
"5\n10 20 30 20 10\n",
"4\n1 2 1 2\n",
"7\n3 3 3 3 3 3 3\n"
] | [
"YES\n",
"YES\n",
"NO\n",
"YES\n"
] | In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively). | 500 | [
{
"input": "6\n1 5 5 5 4 2",
"output": "YES"
},
{
"input": "5\n10 20 30 20 10",
"output": "YES"
},
{
"input": "4\n1 2 1 2",
"output": "NO"
},
{
"input": "7\n3 3 3 3 3 3 3",
"output": "YES"
},
{
"input": "6\n5 7 11 11 2 1",
"output": "YES"
},
{
"input":... | 1,640,790,610 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 15 | 0 | n=int(input())
a=list(map(int,input().split()))
i=0
while i<n and a[i]>a[i-1]:
i=i+1
while i<n and a[i]==a[i-1]:
i=i+1
while i<n and a[i]<a[i-1]:
i=i+1
if i==n:
print("YES")
else:
print("NO")
| Title: Unimodal Array
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Array of integers is unimodal, if:
- it is strictly increasing in the beginning; - after that it is constant; - after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5,<=7,<=11,<=11,<=2,<=1], [4,<=4,<=2], [7], but the following three are not unimodal: [5,<=5,<=6,<=6,<=1], [1,<=2,<=1,<=2], [4,<=5,<=5,<=6].
Write a program that checks if an array is unimodal.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000) — the elements of the array.
Output Specification:
Print "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower).
Demo Input:
['6\n1 5 5 5 4 2\n', '5\n10 20 30 20 10\n', '4\n1 2 1 2\n', '7\n3 3 3 3 3 3 3\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n', 'YES\n']
Note:
In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively). | ```python
n=int(input())
a=list(map(int,input().split()))
i=0
while i<n and a[i]>a[i-1]:
i=i+1
while i<n and a[i]==a[i-1]:
i=i+1
while i<n and a[i]<a[i-1]:
i=i+1
if i==n:
print("YES")
else:
print("NO")
``` | 0 | |
443 | A | Anton and Letters | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | Recently, Anton has found a set. The set consists of small English letters. Anton carefully wrote out all the letters from the set in one line, separated by a comma. He also added an opening curved bracket at the beginning of the line and a closing curved bracket at the end of the line.
Unfortunately, from time to time Anton would forget writing some letter and write it again. He asks you to count the total number of distinct letters in his set. | The first and the single line contains the set of letters. The length of the line doesn't exceed 1000. It is guaranteed that the line starts from an opening curved bracket and ends with a closing curved bracket. Between them, small English letters are listed, separated by a comma. Each comma is followed by a space. | Print a single number — the number of distinct letters in Anton's set. | [
"{a, b, c}\n",
"{b, a, b, a}\n",
"{}\n"
] | [
"3\n",
"2\n",
"0\n"
] | none | 500 | [
{
"input": "{a, b, c}",
"output": "3"
},
{
"input": "{b, a, b, a}",
"output": "2"
},
{
"input": "{}",
"output": "0"
},
{
"input": "{a, a, c, b, b, b, c, c, c, c}",
"output": "3"
},
{
"input": "{a, c, b, b}",
"output": "3"
},
{
"input": "{a, b}",
"o... | 1,699,752,063 | 2,147,483,647 | Python 3 | OK | TESTS | 27 | 46 | 0 | s = input()
if len(s) == 2:
print(0)
else:
print(len(set(s[1:-1].split(', '))))
| Title: Anton and Letters
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently, Anton has found a set. The set consists of small English letters. Anton carefully wrote out all the letters from the set in one line, separated by a comma. He also added an opening curved bracket at the beginning of the line and a closing curved bracket at the end of the line.
Unfortunately, from time to time Anton would forget writing some letter and write it again. He asks you to count the total number of distinct letters in his set.
Input Specification:
The first and the single line contains the set of letters. The length of the line doesn't exceed 1000. It is guaranteed that the line starts from an opening curved bracket and ends with a closing curved bracket. Between them, small English letters are listed, separated by a comma. Each comma is followed by a space.
Output Specification:
Print a single number — the number of distinct letters in Anton's set.
Demo Input:
['{a, b, c}\n', '{b, a, b, a}\n', '{}\n']
Demo Output:
['3\n', '2\n', '0\n']
Note:
none | ```python
s = input()
if len(s) == 2:
print(0)
else:
print(len(set(s[1:-1].split(', '))))
``` | 3 | |
807 | A | Is it rated? | PROGRAMMING | 900 | [
"implementation",
"sortings"
] | null | null | Is it rated?
Here it is. The Ultimate Question of Competitive Programming, Codeforces, and Everything. And you are here to answer it.
Another Codeforces round has been conducted. No two participants have the same number of points. For each participant, from the top to the bottom of the standings, their rating before and after the round is known.
It's known that if at least one participant's rating has changed, then the round was rated for sure.
It's also known that if the round was rated and a participant with lower rating took a better place in the standings than a participant with higher rating, then at least one round participant's rating has changed.
In this problem, you should not make any other assumptions about the rating system.
Determine if the current round is rated, unrated, or it's impossible to determine whether it is rated of not. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=1000) — the number of round participants.
Each of the next *n* lines contains two integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=4126) — the rating of the *i*-th participant before and after the round, respectively. The participants are listed in order from the top to the bottom of the standings. | If the round is rated for sure, print "rated". If the round is unrated for sure, print "unrated". If it's impossible to determine whether the round is rated or not, print "maybe". | [
"6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884\n",
"4\n1500 1500\n1300 1300\n1200 1200\n1400 1400\n",
"5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699\n"
] | [
"rated\n",
"unrated\n",
"maybe\n"
] | In the first example, the ratings of the participants in the third and fifth places have changed, therefore, the round was rated.
In the second example, no one's rating has changed, but the participant in the second place has lower rating than the participant in the fourth place. Therefore, if the round was rated, someone's rating would've changed for sure.
In the third example, no one's rating has changed, and the participants took places in non-increasing order of their rating. Therefore, it's impossible to determine whether the round is rated or not. | 500 | [
{
"input": "6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884",
"output": "rated"
},
{
"input": "4\n1500 1500\n1300 1300\n1200 1200\n1400 1400",
"output": "unrated"
},
{
"input": "5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699",
"output": "maybe"
},
{
... | 1,656,762,481 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 30 | 0 | def main():
number_of_participant=int(input())
flag=0
participant=[]
for i in range(number_of_participant):
ranking=input()
ranking=ranking.split()
if ranking[0]!=ranking[1]:
flag=1
participant.append(int(ranking[0]))
if flag==1:
print("rated")
else:
if sorted(participant)==participant:
print("maybe")
else:
print("unrated")
if __name__=="__main__":
main() | Title: Is it rated?
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Is it rated?
Here it is. The Ultimate Question of Competitive Programming, Codeforces, and Everything. And you are here to answer it.
Another Codeforces round has been conducted. No two participants have the same number of points. For each participant, from the top to the bottom of the standings, their rating before and after the round is known.
It's known that if at least one participant's rating has changed, then the round was rated for sure.
It's also known that if the round was rated and a participant with lower rating took a better place in the standings than a participant with higher rating, then at least one round participant's rating has changed.
In this problem, you should not make any other assumptions about the rating system.
Determine if the current round is rated, unrated, or it's impossible to determine whether it is rated of not.
Input Specification:
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=1000) — the number of round participants.
Each of the next *n* lines contains two integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=4126) — the rating of the *i*-th participant before and after the round, respectively. The participants are listed in order from the top to the bottom of the standings.
Output Specification:
If the round is rated for sure, print "rated". If the round is unrated for sure, print "unrated". If it's impossible to determine whether the round is rated or not, print "maybe".
Demo Input:
['6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884\n', '4\n1500 1500\n1300 1300\n1200 1200\n1400 1400\n', '5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699\n']
Demo Output:
['rated\n', 'unrated\n', 'maybe\n']
Note:
In the first example, the ratings of the participants in the third and fifth places have changed, therefore, the round was rated.
In the second example, no one's rating has changed, but the participant in the second place has lower rating than the participant in the fourth place. Therefore, if the round was rated, someone's rating would've changed for sure.
In the third example, no one's rating has changed, and the participants took places in non-increasing order of their rating. Therefore, it's impossible to determine whether the round is rated or not. | ```python
def main():
number_of_participant=int(input())
flag=0
participant=[]
for i in range(number_of_participant):
ranking=input()
ranking=ranking.split()
if ranking[0]!=ranking[1]:
flag=1
participant.append(int(ranking[0]))
if flag==1:
print("rated")
else:
if sorted(participant)==participant:
print("maybe")
else:
print("unrated")
if __name__=="__main__":
main()
``` | 0 | |
127 | A | Wasted Time | PROGRAMMING | 900 | [
"geometry"
] | null | null | Mr. Scrooge, a very busy man, decided to count the time he wastes on all sorts of useless stuff to evaluate the lost profit. He has already counted the time he wastes sleeping and eating. And now Mr. Scrooge wants to count the time he has wasted signing papers.
Mr. Scrooge's signature can be represented as a polyline *A*1*A*2... *A**n*. Scrooge signs like that: first it places a pen at the point *A*1, then draws a segment from point *A*1 to point *A*2, then he draws a segment from point *A*2 to point *A*3 and so on to point *A**n*, where he stops signing and takes the pen off the paper. At that the resulting line can intersect with itself and partially repeat itself but Scrooge pays no attention to it and never changes his signing style. As Scrooge makes the signature, he never takes the pen off the paper and his writing speed is constant — 50 millimeters per second.
Scrooge signed exactly *k* papers throughout his life and all those signatures look the same.
Find the total time Scrooge wasted signing the papers. | The first line contains two integers *n* and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000). Each of the following *n* lines contains the coordinates of the polyline's endpoints. The *i*-th one contains coordinates of the point *A**i* — integers *x**i* and *y**i*, separated by a space.
All points *A**i* are different. The absolute value of all coordinates does not exceed 20. The coordinates are measured in millimeters. | Print one real number — the total time Scrooges wastes on signing the papers in seconds. The absolute or relative error should not exceed 10<=-<=6. | [
"2 1\n0 0\n10 0\n",
"5 10\n3 1\n-5 6\n-2 -1\n3 2\n10 0\n",
"6 10\n5 0\n4 0\n6 0\n3 0\n7 0\n2 0\n"
] | [
"0.200000000",
"6.032163204",
"3.000000000"
] | none | 500 | [
{
"input": "2 1\n0 0\n10 0",
"output": "0.200000000"
},
{
"input": "5 10\n3 1\n-5 6\n-2 -1\n3 2\n10 0",
"output": "6.032163204"
},
{
"input": "6 10\n5 0\n4 0\n6 0\n3 0\n7 0\n2 0",
"output": "3.000000000"
},
{
"input": "10 95\n-20 -5\n2 -8\n14 13\n10 3\n17 11\n13 -12\n-6 11\n1... | 1,635,060,742 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 122 | 17,715,200 | import math
n, k = map(int, input().split())
posx, posy, res = 0, 0, 0
for u in range(n):
x, y = map(int, input().split())
res += math.sqrt(abs(posx - x) ** 2 + abs(posy - y) ** 2)
posx, posy = x, y
print(res * k) | Title: Wasted Time
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mr. Scrooge, a very busy man, decided to count the time he wastes on all sorts of useless stuff to evaluate the lost profit. He has already counted the time he wastes sleeping and eating. And now Mr. Scrooge wants to count the time he has wasted signing papers.
Mr. Scrooge's signature can be represented as a polyline *A*1*A*2... *A**n*. Scrooge signs like that: first it places a pen at the point *A*1, then draws a segment from point *A*1 to point *A*2, then he draws a segment from point *A*2 to point *A*3 and so on to point *A**n*, where he stops signing and takes the pen off the paper. At that the resulting line can intersect with itself and partially repeat itself but Scrooge pays no attention to it and never changes his signing style. As Scrooge makes the signature, he never takes the pen off the paper and his writing speed is constant — 50 millimeters per second.
Scrooge signed exactly *k* papers throughout his life and all those signatures look the same.
Find the total time Scrooge wasted signing the papers.
Input Specification:
The first line contains two integers *n* and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000). Each of the following *n* lines contains the coordinates of the polyline's endpoints. The *i*-th one contains coordinates of the point *A**i* — integers *x**i* and *y**i*, separated by a space.
All points *A**i* are different. The absolute value of all coordinates does not exceed 20. The coordinates are measured in millimeters.
Output Specification:
Print one real number — the total time Scrooges wastes on signing the papers in seconds. The absolute or relative error should not exceed 10<=-<=6.
Demo Input:
['2 1\n0 0\n10 0\n', '5 10\n3 1\n-5 6\n-2 -1\n3 2\n10 0\n', '6 10\n5 0\n4 0\n6 0\n3 0\n7 0\n2 0\n']
Demo Output:
['0.200000000', '6.032163204', '3.000000000']
Note:
none | ```python
import math
n, k = map(int, input().split())
posx, posy, res = 0, 0, 0
for u in range(n):
x, y = map(int, input().split())
res += math.sqrt(abs(posx - x) ** 2 + abs(posy - y) ** 2)
posx, posy = x, y
print(res * k)
``` | 0 | |
32 | A | Reconnaissance | PROGRAMMING | 800 | [
"brute force"
] | A. Reconnaissance | 2 | 256 | According to the regulations of Berland's army, a reconnaissance unit should consist of exactly two soldiers. Since these two soldiers shouldn't differ much, their heights can differ by at most *d* centimeters. Captain Bob has *n* soldiers in his detachment. Their heights are *a*1,<=*a*2,<=...,<=*a**n* centimeters. Some soldiers are of the same height. Bob wants to know, how many ways exist to form a reconnaissance unit of two soldiers from his detachment.
Ways (1,<=2) and (2,<=1) should be regarded as different. | The first line contains two integers *n* and *d* (1<=≤<=*n*<=≤<=1000,<=1<=≤<=*d*<=≤<=109) — amount of soldiers in Bob's detachment and the maximum allowed height difference respectively. The second line contains *n* space-separated integers — heights of all the soldiers in Bob's detachment. These numbers don't exceed 109. | Output one number — amount of ways to form a reconnaissance unit of two soldiers, whose height difference doesn't exceed *d*. | [
"5 10\n10 20 50 60 65\n",
"5 1\n55 30 29 31 55\n"
] | [
"6\n",
"6\n"
] | none | 500 | [
{
"input": "5 10\n10 20 50 60 65",
"output": "6"
},
{
"input": "5 1\n55 30 29 31 55",
"output": "6"
},
{
"input": "6 10\n4 6 4 1 9 3",
"output": "30"
},
{
"input": "7 100\n19 1694 261 162 1 234 513",
"output": "8"
},
{
"input": "8 42\n37 53 74 187 568 22 5 65",
... | 1,642,936,484 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 62 | 0 | s=[]
o=0
n,d=input("").split()
n=int(n)
d=int(d)
r=input("")
e= r.split()
for x in e:
x=int(x)
s.append(x)
for z in range(0,len(s)):
for g in range(0,len(s)):
if z != g :
if abs (s[z] - s[g]) <= d :
print(s[z],s[g])
o+=1
if n== len(s):
print(o) | Title: Reconnaissance
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
According to the regulations of Berland's army, a reconnaissance unit should consist of exactly two soldiers. Since these two soldiers shouldn't differ much, their heights can differ by at most *d* centimeters. Captain Bob has *n* soldiers in his detachment. Their heights are *a*1,<=*a*2,<=...,<=*a**n* centimeters. Some soldiers are of the same height. Bob wants to know, how many ways exist to form a reconnaissance unit of two soldiers from his detachment.
Ways (1,<=2) and (2,<=1) should be regarded as different.
Input Specification:
The first line contains two integers *n* and *d* (1<=≤<=*n*<=≤<=1000,<=1<=≤<=*d*<=≤<=109) — amount of soldiers in Bob's detachment and the maximum allowed height difference respectively. The second line contains *n* space-separated integers — heights of all the soldiers in Bob's detachment. These numbers don't exceed 109.
Output Specification:
Output one number — amount of ways to form a reconnaissance unit of two soldiers, whose height difference doesn't exceed *d*.
Demo Input:
['5 10\n10 20 50 60 65\n', '5 1\n55 30 29 31 55\n']
Demo Output:
['6\n', '6\n']
Note:
none | ```python
s=[]
o=0
n,d=input("").split()
n=int(n)
d=int(d)
r=input("")
e= r.split()
for x in e:
x=int(x)
s.append(x)
for z in range(0,len(s)):
for g in range(0,len(s)):
if z != g :
if abs (s[z] - s[g]) <= d :
print(s[z],s[g])
o+=1
if n== len(s):
print(o)
``` | 0 |
831 | A | Unimodal Array | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Array of integers is unimodal, if:
- it is strictly increasing in the beginning; - after that it is constant; - after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5,<=7,<=11,<=11,<=2,<=1], [4,<=4,<=2], [7], but the following three are not unimodal: [5,<=5,<=6,<=6,<=1], [1,<=2,<=1,<=2], [4,<=5,<=5,<=6].
Write a program that checks if an array is unimodal. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000) — the elements of the array. | Print "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower). | [
"6\n1 5 5 5 4 2\n",
"5\n10 20 30 20 10\n",
"4\n1 2 1 2\n",
"7\n3 3 3 3 3 3 3\n"
] | [
"YES\n",
"YES\n",
"NO\n",
"YES\n"
] | In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively). | 500 | [
{
"input": "6\n1 5 5 5 4 2",
"output": "YES"
},
{
"input": "5\n10 20 30 20 10",
"output": "YES"
},
{
"input": "4\n1 2 1 2",
"output": "NO"
},
{
"input": "7\n3 3 3 3 3 3 3",
"output": "YES"
},
{
"input": "6\n5 7 11 11 2 1",
"output": "YES"
},
{
"input":... | 1,651,685,616 | 2,147,483,647 | Python 3 | OK | TESTS | 101 | 46 | 0 | # -*- coding: utf-8 -*-
"""831.ipynb
Automatically generated by Colaboratory.
Original file is located at
https://colab.research.google.com/drive/1hYxPSks58iBj6lqO-ZFgsg_7bcRbm3l3
"""
#https://codeforces.com/contest/831/problem/A Unimodal Array
a=int(input())
b=list(map(int,input().split()))
i=1
while i<a and b[i-1]<b[i]:
i+=1
while i<a and b[i-1]==b[i]:
i+=1
while i<a and b[i-1]>b[i]:
i+=1
if i==a:
print("Yes")
else:
print("No") | Title: Unimodal Array
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Array of integers is unimodal, if:
- it is strictly increasing in the beginning; - after that it is constant; - after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5,<=7,<=11,<=11,<=2,<=1], [4,<=4,<=2], [7], but the following three are not unimodal: [5,<=5,<=6,<=6,<=1], [1,<=2,<=1,<=2], [4,<=5,<=5,<=6].
Write a program that checks if an array is unimodal.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000) — the elements of the array.
Output Specification:
Print "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower).
Demo Input:
['6\n1 5 5 5 4 2\n', '5\n10 20 30 20 10\n', '4\n1 2 1 2\n', '7\n3 3 3 3 3 3 3\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n', 'YES\n']
Note:
In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively). | ```python
# -*- coding: utf-8 -*-
"""831.ipynb
Automatically generated by Colaboratory.
Original file is located at
https://colab.research.google.com/drive/1hYxPSks58iBj6lqO-ZFgsg_7bcRbm3l3
"""
#https://codeforces.com/contest/831/problem/A Unimodal Array
a=int(input())
b=list(map(int,input().split()))
i=1
while i<a and b[i-1]<b[i]:
i+=1
while i<a and b[i-1]==b[i]:
i+=1
while i<a and b[i-1]>b[i]:
i+=1
if i==a:
print("Yes")
else:
print("No")
``` | 3 | |
262 | A | Roma and Lucky Numbers | PROGRAMMING | 800 | [
"implementation"
] | null | null | Roma (a popular Russian name that means 'Roman') loves the Little Lvov Elephant's lucky numbers.
Let us remind you that lucky numbers are positive integers whose decimal representation only contains lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Roma's got *n* positive integers. He wonders, how many of those integers have not more than *k* lucky digits? Help him, write the program that solves the problem. | The first line contains two integers *n*, *k* (1<=≤<=*n*,<=*k*<=≤<=100). The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the numbers that Roma has.
The numbers in the lines are separated by single spaces. | In a single line print a single integer — the answer to the problem. | [
"3 4\n1 2 4\n",
"3 2\n447 44 77\n"
] | [
"3\n",
"2\n"
] | In the first sample all numbers contain at most four lucky digits, so the answer is 3.
In the second sample number 447 doesn't fit in, as it contains more than two lucky digits. All other numbers are fine, so the answer is 2. | 500 | [
{
"input": "3 4\n1 2 4",
"output": "3"
},
{
"input": "3 2\n447 44 77",
"output": "2"
},
{
"input": "2 2\n507978501 180480073",
"output": "2"
},
{
"input": "9 6\n655243746 167613748 1470546 57644035 176077477 56984809 44677 215706823 369042089",
"output": "9"
},
{
... | 1,589,023,440 | 2,147,483,647 | Python 3 | OK | TESTS | 34 | 186 | 6,656,000 | [n, k] = [int(x) for x in input().split()]
L = [x for x in input().split()]
c = 0
for i in L:
if i.count('4') + i.count('7') <= k: c += 1
print(c)
| Title: Roma and Lucky Numbers
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Roma (a popular Russian name that means 'Roman') loves the Little Lvov Elephant's lucky numbers.
Let us remind you that lucky numbers are positive integers whose decimal representation only contains lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Roma's got *n* positive integers. He wonders, how many of those integers have not more than *k* lucky digits? Help him, write the program that solves the problem.
Input Specification:
The first line contains two integers *n*, *k* (1<=≤<=*n*,<=*k*<=≤<=100). The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the numbers that Roma has.
The numbers in the lines are separated by single spaces.
Output Specification:
In a single line print a single integer — the answer to the problem.
Demo Input:
['3 4\n1 2 4\n', '3 2\n447 44 77\n']
Demo Output:
['3\n', '2\n']
Note:
In the first sample all numbers contain at most four lucky digits, so the answer is 3.
In the second sample number 447 doesn't fit in, as it contains more than two lucky digits. All other numbers are fine, so the answer is 2. | ```python
[n, k] = [int(x) for x in input().split()]
L = [x for x in input().split()]
c = 0
for i in L:
if i.count('4') + i.count('7') <= k: c += 1
print(c)
``` | 3 | |
427 | A | Police Recruits | PROGRAMMING | 800 | [
"implementation"
] | null | null | The police department of your city has just started its journey. Initially, they don’t have any manpower. So, they started hiring new recruits in groups.
Meanwhile, crimes keeps occurring within the city. One member of the police force can investigate only one crime during his/her lifetime.
If there is no police officer free (isn't busy with crime) during the occurrence of a crime, it will go untreated.
Given the chronological order of crime occurrences and recruit hirings, find the number of crimes which will go untreated. | The first line of input will contain an integer *n* (1<=≤<=*n*<=≤<=105), the number of events. The next line will contain *n* space-separated integers.
If the integer is -1 then it means a crime has occurred. Otherwise, the integer will be positive, the number of officers recruited together at that time. No more than 10 officers will be recruited at a time. | Print a single integer, the number of crimes which will go untreated. | [
"3\n-1 -1 1\n",
"8\n1 -1 1 -1 -1 1 1 1\n",
"11\n-1 -1 2 -1 -1 -1 -1 -1 -1 -1 -1\n"
] | [
"2\n",
"1\n",
"8\n"
] | Lets consider the second example:
1. Firstly one person is hired. 1. Then crime appears, the last hired person will investigate this crime. 1. One more person is hired. 1. One more crime appears, the last hired person will investigate this crime. 1. Crime appears. There is no free policeman at the time, so this crime will go untreated. 1. One more person is hired. 1. One more person is hired. 1. One more person is hired.
The answer is one, as one crime (on step 5) will go untreated. | 500 | [
{
"input": "3\n-1 -1 1",
"output": "2"
},
{
"input": "8\n1 -1 1 -1 -1 1 1 1",
"output": "1"
},
{
"input": "11\n-1 -1 2 -1 -1 -1 -1 -1 -1 -1 -1",
"output": "8"
},
{
"input": "7\n-1 -1 1 1 -1 -1 1",
"output": "2"
},
{
"input": "21\n-1 -1 -1 -1 -1 3 2 -1 6 -1 -1 2 1 ... | 1,694,688,779 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 63 | 78 | 13,209,600 | n = int(input())
li = list(map(int, input().split()))
c = 0
k = 0
for i in range(n):
if li[i] == -1 and c < 1:
k += 1
else:
c += li[i]
print(k)
"""
4
abacaba
acaba
abacaba
acab
""" | Title: Police Recruits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The police department of your city has just started its journey. Initially, they don’t have any manpower. So, they started hiring new recruits in groups.
Meanwhile, crimes keeps occurring within the city. One member of the police force can investigate only one crime during his/her lifetime.
If there is no police officer free (isn't busy with crime) during the occurrence of a crime, it will go untreated.
Given the chronological order of crime occurrences and recruit hirings, find the number of crimes which will go untreated.
Input Specification:
The first line of input will contain an integer *n* (1<=≤<=*n*<=≤<=105), the number of events. The next line will contain *n* space-separated integers.
If the integer is -1 then it means a crime has occurred. Otherwise, the integer will be positive, the number of officers recruited together at that time. No more than 10 officers will be recruited at a time.
Output Specification:
Print a single integer, the number of crimes which will go untreated.
Demo Input:
['3\n-1 -1 1\n', '8\n1 -1 1 -1 -1 1 1 1\n', '11\n-1 -1 2 -1 -1 -1 -1 -1 -1 -1 -1\n']
Demo Output:
['2\n', '1\n', '8\n']
Note:
Lets consider the second example:
1. Firstly one person is hired. 1. Then crime appears, the last hired person will investigate this crime. 1. One more person is hired. 1. One more crime appears, the last hired person will investigate this crime. 1. Crime appears. There is no free policeman at the time, so this crime will go untreated. 1. One more person is hired. 1. One more person is hired. 1. One more person is hired.
The answer is one, as one crime (on step 5) will go untreated. | ```python
n = int(input())
li = list(map(int, input().split()))
c = 0
k = 0
for i in range(n):
if li[i] == -1 and c < 1:
k += 1
else:
c += li[i]
print(k)
"""
4
abacaba
acaba
abacaba
acab
"""
``` | 3 | |
801 | A | Vicious Keyboard | PROGRAMMING | 1,100 | [
"brute force"
] | null | null | Tonio has a keyboard with only two letters, "V" and "K".
One day, he has typed out a string *s* with only these two letters. He really likes it when the string "VK" appears, so he wishes to change at most one letter in the string (or do no changes) to maximize the number of occurrences of that string. Compute the maximum number of times "VK" can appear as a substring (i. e. a letter "K" right after a letter "V") in the resulting string. | The first line will contain a string *s* consisting only of uppercase English letters "V" and "K" with length not less than 1 and not greater than 100. | Output a single integer, the maximum number of times "VK" can appear as a substring of the given string after changing at most one character. | [
"VK\n",
"VV\n",
"V\n",
"VKKKKKKKKKVVVVVVVVVK\n",
"KVKV\n"
] | [
"1\n",
"1\n",
"0\n",
"3\n",
"1\n"
] | For the first case, we do not change any letters. "VK" appears once, which is the maximum number of times it could appear.
For the second case, we can change the second character from a "V" to a "K". This will give us the string "VK". This has one occurrence of the string "VK" as a substring.
For the fourth case, we can change the fourth character from a "K" to a "V". This will give us the string "VKKVKKKKKKVVVVVVVVVK". This has three occurrences of the string "VK" as a substring. We can check no other moves can give us strictly more occurrences. | 500 | [
{
"input": "VK",
"output": "1"
},
{
"input": "VV",
"output": "1"
},
{
"input": "V",
"output": "0"
},
{
"input": "VKKKKKKKKKVVVVVVVVVK",
"output": "3"
},
{
"input": "KVKV",
"output": "1"
},
{
"input": "VKKVVVKVKVK",
"output": "5"
},
{
"input... | 1,492,357,420 | 520 | Python 3 | OK | TESTS | 63 | 77 | 5,529,600 | l=input()
s=[]
for i in l:
if(i=='V'):
s.append(1)
else:
s.append(0)
ls=len(s)
i=0
maxc = 0
c = 0
while i+1<ls:
if(s[i]==1 and s[i+1]==0):
c+=1
i+=1
maxc = max(maxc,c)
j=0
while j<ls:
if(s[j]==1):
s[j]=0
else:
s[j]=1
i=0
c=0
while i+1<ls:
if(s[i]==1 and s[i+1]==0):
c+=1
i+=1
maxc=max(c,maxc)
if(s[j]==1):
s[j]=0
else:
s[j]=1
j+=1
print(maxc) | Title: Vicious Keyboard
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Tonio has a keyboard with only two letters, "V" and "K".
One day, he has typed out a string *s* with only these two letters. He really likes it when the string "VK" appears, so he wishes to change at most one letter in the string (or do no changes) to maximize the number of occurrences of that string. Compute the maximum number of times "VK" can appear as a substring (i. e. a letter "K" right after a letter "V") in the resulting string.
Input Specification:
The first line will contain a string *s* consisting only of uppercase English letters "V" and "K" with length not less than 1 and not greater than 100.
Output Specification:
Output a single integer, the maximum number of times "VK" can appear as a substring of the given string after changing at most one character.
Demo Input:
['VK\n', 'VV\n', 'V\n', 'VKKKKKKKKKVVVVVVVVVK\n', 'KVKV\n']
Demo Output:
['1\n', '1\n', '0\n', '3\n', '1\n']
Note:
For the first case, we do not change any letters. "VK" appears once, which is the maximum number of times it could appear.
For the second case, we can change the second character from a "V" to a "K". This will give us the string "VK". This has one occurrence of the string "VK" as a substring.
For the fourth case, we can change the fourth character from a "K" to a "V". This will give us the string "VKKVKKKKKKVVVVVVVVVK". This has three occurrences of the string "VK" as a substring. We can check no other moves can give us strictly more occurrences. | ```python
l=input()
s=[]
for i in l:
if(i=='V'):
s.append(1)
else:
s.append(0)
ls=len(s)
i=0
maxc = 0
c = 0
while i+1<ls:
if(s[i]==1 and s[i+1]==0):
c+=1
i+=1
maxc = max(maxc,c)
j=0
while j<ls:
if(s[j]==1):
s[j]=0
else:
s[j]=1
i=0
c=0
while i+1<ls:
if(s[i]==1 and s[i+1]==0):
c+=1
i+=1
maxc=max(c,maxc)
if(s[j]==1):
s[j]=0
else:
s[j]=1
j+=1
print(maxc)
``` | 3 | |
2 | B | The least round way | PROGRAMMING | 2,000 | [
"dp",
"math"
] | B. The least round way | 2 | 64 | There is a square matrix *n*<=×<=*n*, consisting of non-negative integer numbers. You should find such a way on it that
- starts in the upper left cell of the matrix; - each following cell is to the right or down from the current cell; - the way ends in the bottom right cell.
Moreover, if we multiply together all the numbers along the way, the result should be the least "round". In other words, it should end in the least possible number of zeros. | The first line contains an integer number *n* (2<=≤<=*n*<=≤<=1000), *n* is the size of the matrix. Then follow *n* lines containing the matrix elements (non-negative integer numbers not exceeding 109). | In the first line print the least number of trailing zeros. In the second line print the correspondent way itself. | [
"3\n1 2 3\n4 5 6\n7 8 9\n"
] | [
"0\nDDRR\n"
] | none | 0 | [
{
"input": "3\n1 2 3\n4 5 6\n7 8 9",
"output": "0\nDDRR"
},
{
"input": "2\n7 6\n3 8",
"output": "0\nDR"
},
{
"input": "3\n4 10 5\n10 9 4\n6 5 3",
"output": "1\nDRRD"
},
{
"input": "4\n1 1 9 9\n3 4 7 3\n7 9 1 7\n1 7 1 5",
"output": "0\nDDDRRR"
},
{
"input": "5\n8 3... | 1,621,926,779 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | ls=[]
n=int(input())
for _ in range(n):
a=input().split()
a=[int(x) for x in a]
ls.append(a)
dp=[[0 for x in range(n)] for y in range(n)]
way=[['' for x in range(n)] for y in range(n)]
dp[0][0]=1
for i in range(1,n):
dp[0][i]=dp[0][i-1]+ls[0][i]
way[0][i]=way[0][i-1]+'R'
for i in range(1,n):
dp[i][0]=dp[i-1][0]+ls[i][0]
way[i][0]=way[i-1][0]+'D'
for i in range(1,n):
for j in range(1,n):
if dp[i-1][j]<dp[i][j-1]:
dp[i][j]=dp[i-1][j]+ls[i][j]
way[i][j]=way[i-1][j]+'D'
else:
dp[i][j]=dp[i][j-1]+ls[i][j]
way[i][j]=way[i][j-1]+'R'
print(way[n-1][n-1])
| Title: The least round way
Time Limit: 2 seconds
Memory Limit: 64 megabytes
Problem Description:
There is a square matrix *n*<=×<=*n*, consisting of non-negative integer numbers. You should find such a way on it that
- starts in the upper left cell of the matrix; - each following cell is to the right or down from the current cell; - the way ends in the bottom right cell.
Moreover, if we multiply together all the numbers along the way, the result should be the least "round". In other words, it should end in the least possible number of zeros.
Input Specification:
The first line contains an integer number *n* (2<=≤<=*n*<=≤<=1000), *n* is the size of the matrix. Then follow *n* lines containing the matrix elements (non-negative integer numbers not exceeding 109).
Output Specification:
In the first line print the least number of trailing zeros. In the second line print the correspondent way itself.
Demo Input:
['3\n1 2 3\n4 5 6\n7 8 9\n']
Demo Output:
['0\nDDRR\n']
Note:
none | ```python
ls=[]
n=int(input())
for _ in range(n):
a=input().split()
a=[int(x) for x in a]
ls.append(a)
dp=[[0 for x in range(n)] for y in range(n)]
way=[['' for x in range(n)] for y in range(n)]
dp[0][0]=1
for i in range(1,n):
dp[0][i]=dp[0][i-1]+ls[0][i]
way[0][i]=way[0][i-1]+'R'
for i in range(1,n):
dp[i][0]=dp[i-1][0]+ls[i][0]
way[i][0]=way[i-1][0]+'D'
for i in range(1,n):
for j in range(1,n):
if dp[i-1][j]<dp[i][j-1]:
dp[i][j]=dp[i-1][j]+ls[i][j]
way[i][j]=way[i-1][j]+'D'
else:
dp[i][j]=dp[i][j-1]+ls[i][j]
way[i][j]=way[i][j-1]+'R'
print(way[n-1][n-1])
``` | 0 |
384 | A | Coder | PROGRAMMING | 800 | [
"implementation"
] | null | null | Iahub likes chess very much. He even invented a new chess piece named Coder. A Coder can move (and attack) one square horizontally or vertically. More precisely, if the Coder is located at position (*x*,<=*y*), he can move to (or attack) positions (*x*<=+<=1,<=*y*), (*x*–1,<=*y*), (*x*,<=*y*<=+<=1) and (*x*,<=*y*–1).
Iahub wants to know how many Coders can be placed on an *n*<=×<=*n* chessboard, so that no Coder attacks any other Coder. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=1000). | On the first line print an integer, the maximum number of Coders that can be placed on the chessboard.
On each of the next *n* lines print *n* characters, describing the configuration of the Coders. For an empty cell print an '.', and for a Coder print a 'C'.
If there are multiple correct answers, you can print any. | [
"2\n"
] | [
"2\nC.\n.C\n"
] | none | 500 | [
{
"input": "2",
"output": "2\nC.\n.C"
},
{
"input": "3",
"output": "5\nC.C\n.C.\nC.C"
},
{
"input": "4",
"output": "8\nC.C.\n.C.C\nC.C.\n.C.C"
},
{
"input": "10",
"output": "50\nC.C.C.C.C.\n.C.C.C.C.C\nC.C.C.C.C.\n.C.C.C.C.C\nC.C.C.C.C.\n.C.C.C.C.C\nC.C.C.C.C.\n.C.C.C.C.C... | 1,541,642,164 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 109 | 0 | n = int(input())
field = [list("." * n) for i in range(n)]
for i in range(0,n,2):
for j in range(0,n,2):
field[i][j] = "C"
for i in range(1,n,2):
for j in range(1,n,2):
field[i][j] = "C"
for i in range(n):
print("".join(field[i]))
| Title: Coder
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Iahub likes chess very much. He even invented a new chess piece named Coder. A Coder can move (and attack) one square horizontally or vertically. More precisely, if the Coder is located at position (*x*,<=*y*), he can move to (or attack) positions (*x*<=+<=1,<=*y*), (*x*–1,<=*y*), (*x*,<=*y*<=+<=1) and (*x*,<=*y*–1).
Iahub wants to know how many Coders can be placed on an *n*<=×<=*n* chessboard, so that no Coder attacks any other Coder.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=1000).
Output Specification:
On the first line print an integer, the maximum number of Coders that can be placed on the chessboard.
On each of the next *n* lines print *n* characters, describing the configuration of the Coders. For an empty cell print an '.', and for a Coder print a 'C'.
If there are multiple correct answers, you can print any.
Demo Input:
['2\n']
Demo Output:
['2\nC.\n.C\n']
Note:
none | ```python
n = int(input())
field = [list("." * n) for i in range(n)]
for i in range(0,n,2):
for j in range(0,n,2):
field[i][j] = "C"
for i in range(1,n,2):
for j in range(1,n,2):
field[i][j] = "C"
for i in range(n):
print("".join(field[i]))
``` | 0 | |
637 | B | Chat Order | PROGRAMMING | 1,200 | [
"*special",
"binary search",
"constructive algorithms",
"data structures",
"sortings"
] | null | null | Polycarp is a big lover of killing time in social networks. A page with a chatlist in his favourite network is made so that when a message is sent to some friend, his friend's chat rises to the very top of the page. The relative order of the other chats doesn't change. If there was no chat with this friend before, then a new chat is simply inserted to the top of the list.
Assuming that the chat list is initially empty, given the sequence of Polycaprus' messages make a list of chats after all of his messages are processed. Assume that no friend wrote any message to Polycarpus. | The first line contains integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of Polycarpus' messages. Next *n* lines enlist the message recipients in the order in which the messages were sent. The name of each participant is a non-empty sequence of lowercase English letters of length at most 10. | Print all the recipients to who Polycarp talked to in the order of chats with them, from top to bottom. | [
"4\nalex\nivan\nroman\nivan\n",
"8\nalina\nmaria\nekaterina\ndarya\ndarya\nekaterina\nmaria\nalina\n"
] | [
"ivan\nroman\nalex\n",
"alina\nmaria\nekaterina\ndarya\n"
] | In the first test case Polycarpus first writes to friend by name "alex", and the list looks as follows:
1. alex
Then Polycarpus writes to friend by name "ivan" and the list looks as follows:
1. ivan 1. alex
Polycarpus writes the third message to friend by name "roman" and the list looks as follows:
1. roman 1. ivan 1. alex
Polycarpus writes the fourth message to friend by name "ivan", to who he has already sent a message, so the list of chats changes as follows:
1. ivan 1. roman 1. alex | 1,000 | [
{
"input": "4\nalex\nivan\nroman\nivan",
"output": "ivan\nroman\nalex"
},
{
"input": "8\nalina\nmaria\nekaterina\ndarya\ndarya\nekaterina\nmaria\nalina",
"output": "alina\nmaria\nekaterina\ndarya"
},
{
"input": "1\nwdi",
"output": "wdi"
},
{
"input": "2\nypg\nypg",
"outpu... | 1,690,058,110 | 2,147,483,647 | Python 3 | OK | TESTS | 95 | 514 | 28,569,600 | n = int(input())
v = []
for i in range(n):
name = input()
v.append(name)
# v contains all names in the initial order
# now we have to process the list in reverse order
s = set() # should use set() for set
for i in range(n-1, -1, -1): # start from the last index, dec by 1, stop at -1
name = v[i]
if name not in s:
print(name)
s.add(name)
| Title: Chat Order
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp is a big lover of killing time in social networks. A page with a chatlist in his favourite network is made so that when a message is sent to some friend, his friend's chat rises to the very top of the page. The relative order of the other chats doesn't change. If there was no chat with this friend before, then a new chat is simply inserted to the top of the list.
Assuming that the chat list is initially empty, given the sequence of Polycaprus' messages make a list of chats after all of his messages are processed. Assume that no friend wrote any message to Polycarpus.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of Polycarpus' messages. Next *n* lines enlist the message recipients in the order in which the messages were sent. The name of each participant is a non-empty sequence of lowercase English letters of length at most 10.
Output Specification:
Print all the recipients to who Polycarp talked to in the order of chats with them, from top to bottom.
Demo Input:
['4\nalex\nivan\nroman\nivan\n', '8\nalina\nmaria\nekaterina\ndarya\ndarya\nekaterina\nmaria\nalina\n']
Demo Output:
['ivan\nroman\nalex\n', 'alina\nmaria\nekaterina\ndarya\n']
Note:
In the first test case Polycarpus first writes to friend by name "alex", and the list looks as follows:
1. alex
Then Polycarpus writes to friend by name "ivan" and the list looks as follows:
1. ivan 1. alex
Polycarpus writes the third message to friend by name "roman" and the list looks as follows:
1. roman 1. ivan 1. alex
Polycarpus writes the fourth message to friend by name "ivan", to who he has already sent a message, so the list of chats changes as follows:
1. ivan 1. roman 1. alex | ```python
n = int(input())
v = []
for i in range(n):
name = input()
v.append(name)
# v contains all names in the initial order
# now we have to process the list in reverse order
s = set() # should use set() for set
for i in range(n-1, -1, -1): # start from the last index, dec by 1, stop at -1
name = v[i]
if name not in s:
print(name)
s.add(name)
``` | 3 | |
104 | A | Blackjack | PROGRAMMING | 800 | [
"implementation"
] | A. Blackjack | 2 | 256 | One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals *n*, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals *n*. | The only line contains *n* (1<=≤<=*n*<=≤<=25) — the required sum of points. | Print the numbers of ways to get the second card in the required way if the first card is the queen of spades. | [
"12\n",
"20\n",
"10\n"
] | [
"4",
"15",
"0"
] | In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points. | 500 | [
{
"input": "12",
"output": "4"
},
{
"input": "20",
"output": "15"
},
{
"input": "10",
"output": "0"
},
{
"input": "11",
"output": "4"
},
{
"input": "15",
"output": "4"
},
{
"input": "18",
"output": "4"
},
{
"input": "25",
"output": "0"
... | 1,645,416,180 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 2 | 122 | 4,710,400 | from collections import defaultdict as dd
hp = dd(lambda:4)
hp[0] = 4
hp[10] = 15
hp[11] = 8
n = int(input())
x = n - 10
if x > 11:
print(0)
else:
print(hp[x]) | Title: Blackjack
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals *n*, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals *n*.
Input Specification:
The only line contains *n* (1<=≤<=*n*<=≤<=25) — the required sum of points.
Output Specification:
Print the numbers of ways to get the second card in the required way if the first card is the queen of spades.
Demo Input:
['12\n', '20\n', '10\n']
Demo Output:
['4', '15', '0']
Note:
In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points. | ```python
from collections import defaultdict as dd
hp = dd(lambda:4)
hp[0] = 4
hp[10] = 15
hp[11] = 8
n = int(input())
x = n - 10
if x > 11:
print(0)
else:
print(hp[x])
``` | 0 |
914 | F | Substrings in a String | PROGRAMMING | 3,000 | [
"bitmasks",
"brute force",
"data structures",
"string suffix structures",
"strings"
] | null | null | Given a string *s*, process *q* queries, each having one of the following forms:
- 1<=*i*<=*c* — Change the *i*-th character in the string to *c*. - 2<=*l*<=*r*<=*y* — Consider the substring of *s* starting at position *l* and ending at position *r*. Output the number of times *y* occurs as a substring in it. | The first line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=105) of lowercase English letters.
The second line contains an integer *q* (1<=≤<=*q*<=≤<=105) — the number of queries to process.
The next *q* lines describe the queries and may have one of the following forms:
- 1<=*i*<=*c* (1<=≤<=*i*<=≤<=|*s*|) - 2<=*l*<=*r*<=*y* (1<=≤<=*l*<=≤<=*r*<=≤<=|*s*|)
*c* is a lowercase English letter and *y* is a non-empty string consisting of only lowercase English letters.
The sum of |*y*| over all queries of second type is at most 105.
It is guaranteed that there is at least one query of second type.
All strings are 1-indexed.
|*s*| is the length of the string *s*. | For each query of type 2, output the required answer in a separate line. | [
"ababababa\n3\n2 1 7 aba\n1 5 c\n2 1 7 aba\n",
"abcdcbc\n5\n2 1 7 bc\n1 4 b\n2 4 7 bc\n1 2 a\n2 1 4 aa\n"
] | [
"3\n1\n",
"2\n2\n1\n"
] | Consider the first sample case. Initially, the string aba occurs 3 times in the range [1, 7]. Note that two occurrences may overlap.
After the update, the string becomes ababcbaba and now aba occurs only once in the range [1, 7]. | 3,000 | [] | 1,649,838,288 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 15 | 0 | # -*- coding: utf-8 -*-
#I at first check what type of query is given. after that replace method is to replace the character at given index.
# on the otherhand, to findout the number of substring in the range, i wrote the substring method
#the return value of substring method was saved into a list and later printed.
#Time complexity = O(n^4) . reason : the substring method has a time complexity of O(n^3). It is inside of a loop (input loop) of O(n). Thus O(N^4)
def replace(x,a,p):
x[a-1]=p
return x
def substring(x,m,n,k):
count=0
i=m-1
k=list(k)
while (i+len(k)-1<n):
while((x[i]!=k[0]) and (i+len(k)-1<n) ):
i=i+1
if((x[i]==k[0]) and (i+len(k)-1<n)):
flag=True
for m in range(len(k)):
if x[i]==k[m]:
i+=1
else:
flag=False
i+=1
break
if flag is True:
count+=1
while n>m:
if(x[n-1] != k[len(k)-1]):
n-=1
else:
break
return count
str=input()
numberOfQuery=int(input())
str=list(str)
for i in range(numberOfQuery):
query=input()
query=query.split(" ")
if(len(query) == 3):
str=replace(str,int(query[1]),query[2])
elif(len(query) == 4):
print(substring(str,int(query[1]),int(query[2]),query[3]))
| Title: Substrings in a String
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Given a string *s*, process *q* queries, each having one of the following forms:
- 1<=*i*<=*c* — Change the *i*-th character in the string to *c*. - 2<=*l*<=*r*<=*y* — Consider the substring of *s* starting at position *l* and ending at position *r*. Output the number of times *y* occurs as a substring in it.
Input Specification:
The first line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=105) of lowercase English letters.
The second line contains an integer *q* (1<=≤<=*q*<=≤<=105) — the number of queries to process.
The next *q* lines describe the queries and may have one of the following forms:
- 1<=*i*<=*c* (1<=≤<=*i*<=≤<=|*s*|) - 2<=*l*<=*r*<=*y* (1<=≤<=*l*<=≤<=*r*<=≤<=|*s*|)
*c* is a lowercase English letter and *y* is a non-empty string consisting of only lowercase English letters.
The sum of |*y*| over all queries of second type is at most 105.
It is guaranteed that there is at least one query of second type.
All strings are 1-indexed.
|*s*| is the length of the string *s*.
Output Specification:
For each query of type 2, output the required answer in a separate line.
Demo Input:
['ababababa\n3\n2 1 7 aba\n1 5 c\n2 1 7 aba\n', 'abcdcbc\n5\n2 1 7 bc\n1 4 b\n2 4 7 bc\n1 2 a\n2 1 4 aa\n']
Demo Output:
['3\n1\n', '2\n2\n1\n']
Note:
Consider the first sample case. Initially, the string aba occurs 3 times in the range [1, 7]. Note that two occurrences may overlap.
After the update, the string becomes ababcbaba and now aba occurs only once in the range [1, 7]. | ```python
# -*- coding: utf-8 -*-
#I at first check what type of query is given. after that replace method is to replace the character at given index.
# on the otherhand, to findout the number of substring in the range, i wrote the substring method
#the return value of substring method was saved into a list and later printed.
#Time complexity = O(n^4) . reason : the substring method has a time complexity of O(n^3). It is inside of a loop (input loop) of O(n). Thus O(N^4)
def replace(x,a,p):
x[a-1]=p
return x
def substring(x,m,n,k):
count=0
i=m-1
k=list(k)
while (i+len(k)-1<n):
while((x[i]!=k[0]) and (i+len(k)-1<n) ):
i=i+1
if((x[i]==k[0]) and (i+len(k)-1<n)):
flag=True
for m in range(len(k)):
if x[i]==k[m]:
i+=1
else:
flag=False
i+=1
break
if flag is True:
count+=1
while n>m:
if(x[n-1] != k[len(k)-1]):
n-=1
else:
break
return count
str=input()
numberOfQuery=int(input())
str=list(str)
for i in range(numberOfQuery):
query=input()
query=query.split(" ")
if(len(query) == 3):
str=replace(str,int(query[1]),query[2])
elif(len(query) == 4):
print(substring(str,int(query[1]),int(query[2]),query[3]))
``` | 0 | |
912 | B | New Year's Eve | PROGRAMMING | 1,300 | [
"bitmasks",
"constructive algorithms",
"number theory"
] | null | null | Since Grisha behaved well last year, at New Year's Eve he was visited by Ded Moroz who brought an enormous bag of gifts with him! The bag contains *n* sweet candies from the good ol' bakery, each labeled from 1 to *n* corresponding to its tastiness. No two candies have the same tastiness.
The choice of candies has a direct effect on Grisha's happiness. One can assume that he should take the tastiest ones — but no, the holiday magic turns things upside down. It is the xor-sum of tastinesses that matters, not the ordinary sum!
A xor-sum of a sequence of integers *a*1,<=*a*2,<=...,<=*a**m* is defined as the bitwise XOR of all its elements: , here denotes the bitwise XOR operation; more about bitwise XOR can be found [here.](https://en.wikipedia.org/wiki/Bitwise_operation#XOR)
Ded Moroz warned Grisha he has more houses to visit, so Grisha can take no more than *k* candies from the bag. Help Grisha determine the largest xor-sum (largest xor-sum means maximum happiness!) he can obtain. | The sole string contains two integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=1018). | Output one number — the largest possible xor-sum. | [
"4 3\n",
"6 6\n"
] | [
"7\n",
"7\n"
] | In the first sample case, one optimal answer is 1, 2 and 4, giving the xor-sum of 7.
In the second sample case, one can, for example, take all six candies and obtain the xor-sum of 7. | 1,000 | [
{
"input": "4 3",
"output": "7"
},
{
"input": "6 6",
"output": "7"
},
{
"input": "2 2",
"output": "3"
},
{
"input": "1022 10",
"output": "1023"
},
{
"input": "415853337373441 52",
"output": "562949953421311"
},
{
"input": "75 12",
"output": "127"
... | 1,541,702,844 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 8 | 109 | 0 | [n, k] = [int(i) for i in input().split()]
remaining = k
number = 2**65
res = 0
while remaining > 0 and number > 0:
if number <= n:
res += number
remaining -= 1
number = number // 2
print(res)
| Title: New Year's Eve
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Since Grisha behaved well last year, at New Year's Eve he was visited by Ded Moroz who brought an enormous bag of gifts with him! The bag contains *n* sweet candies from the good ol' bakery, each labeled from 1 to *n* corresponding to its tastiness. No two candies have the same tastiness.
The choice of candies has a direct effect on Grisha's happiness. One can assume that he should take the tastiest ones — but no, the holiday magic turns things upside down. It is the xor-sum of tastinesses that matters, not the ordinary sum!
A xor-sum of a sequence of integers *a*1,<=*a*2,<=...,<=*a**m* is defined as the bitwise XOR of all its elements: , here denotes the bitwise XOR operation; more about bitwise XOR can be found [here.](https://en.wikipedia.org/wiki/Bitwise_operation#XOR)
Ded Moroz warned Grisha he has more houses to visit, so Grisha can take no more than *k* candies from the bag. Help Grisha determine the largest xor-sum (largest xor-sum means maximum happiness!) he can obtain.
Input Specification:
The sole string contains two integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=1018).
Output Specification:
Output one number — the largest possible xor-sum.
Demo Input:
['4 3\n', '6 6\n']
Demo Output:
['7\n', '7\n']
Note:
In the first sample case, one optimal answer is 1, 2 and 4, giving the xor-sum of 7.
In the second sample case, one can, for example, take all six candies and obtain the xor-sum of 7. | ```python
[n, k] = [int(i) for i in input().split()]
remaining = k
number = 2**65
res = 0
while remaining > 0 and number > 0:
if number <= n:
res += number
remaining -= 1
number = number // 2
print(res)
``` | 0 | |
479 | A | Expression | PROGRAMMING | 1,000 | [
"brute force",
"math"
] | null | null | Petya studies in a school and he adores Maths. His class has been studying arithmetic expressions. On the last class the teacher wrote three positive integers *a*, *b*, *c* on the blackboard. The task was to insert signs of operations '+' and '*', and probably brackets between the numbers so that the value of the resulting expression is as large as possible. Let's consider an example: assume that the teacher wrote numbers 1, 2 and 3 on the blackboard. Here are some ways of placing signs and brackets:
- 1+2*3=7 - 1*(2+3)=5 - 1*2*3=6 - (1+2)*3=9
Note that you can insert operation signs only between *a* and *b*, and between *b* and *c*, that is, you cannot swap integers. For instance, in the given sample you cannot get expression (1+3)*2.
It's easy to see that the maximum value that you can obtain is 9.
Your task is: given *a*, *b* and *c* print the maximum value that you can get. | The input contains three integers *a*, *b* and *c*, each on a single line (1<=≤<=*a*,<=*b*,<=*c*<=≤<=10). | Print the maximum value of the expression that you can obtain. | [
"1\n2\n3\n",
"2\n10\n3\n"
] | [
"9\n",
"60\n"
] | none | 500 | [
{
"input": "1\n2\n3",
"output": "9"
},
{
"input": "2\n10\n3",
"output": "60"
},
{
"input": "1\n1\n1",
"output": "3"
},
{
"input": "1\n2\n1",
"output": "4"
},
{
"input": "10\n10\n10",
"output": "1000"
},
{
"input": "5\n1\n3",
"output": "20"
},
{... | 1,696,848,808 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 31 | 0 | a,b,c=map(int,input().split())
if a==1 or b==1 or c==1:
if a>=b and a>=c:
print((b+c)*a)
if b>a and b>c:
print((a+c)*b)
if c>a and c>b:
print((a+b)*c)
else:
print(a*b*c) | Title: Expression
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya studies in a school and he adores Maths. His class has been studying arithmetic expressions. On the last class the teacher wrote three positive integers *a*, *b*, *c* on the blackboard. The task was to insert signs of operations '+' and '*', and probably brackets between the numbers so that the value of the resulting expression is as large as possible. Let's consider an example: assume that the teacher wrote numbers 1, 2 and 3 on the blackboard. Here are some ways of placing signs and brackets:
- 1+2*3=7 - 1*(2+3)=5 - 1*2*3=6 - (1+2)*3=9
Note that you can insert operation signs only between *a* and *b*, and between *b* and *c*, that is, you cannot swap integers. For instance, in the given sample you cannot get expression (1+3)*2.
It's easy to see that the maximum value that you can obtain is 9.
Your task is: given *a*, *b* and *c* print the maximum value that you can get.
Input Specification:
The input contains three integers *a*, *b* and *c*, each on a single line (1<=≤<=*a*,<=*b*,<=*c*<=≤<=10).
Output Specification:
Print the maximum value of the expression that you can obtain.
Demo Input:
['1\n2\n3\n', '2\n10\n3\n']
Demo Output:
['9\n', '60\n']
Note:
none | ```python
a,b,c=map(int,input().split())
if a==1 or b==1 or c==1:
if a>=b and a>=c:
print((b+c)*a)
if b>a and b>c:
print((a+c)*b)
if c>a and c>b:
print((a+b)*c)
else:
print(a*b*c)
``` | -1 | |
14 | B | Young Photographer | PROGRAMMING | 1,000 | [
"implementation"
] | B. Young Photographer | 2 | 64 | Among other things, Bob is keen on photography. Especially he likes to take pictures of sportsmen. That was the reason why he placed himself in position *x*0 of a long straight racetrack and got ready to take pictures. But the problem was that not all the runners passed him. The total amount of sportsmen, training at that racetrack, equals *n*. And each of them regularly runs distances within a particular segment of the racetrack, which is the same for each sportsman. For example, the first sportsman runs from position *a*1 to position *b*1, the second — from *a*2 to *b*2
What is the minimum distance that Bob should move to have a chance to take pictures of each sportsman? Bob can take a picture of a sportsman, if he stands within the segment that this sportsman covers on the racetrack. | The first line of the input file contains integers *n* and *x*0 (1<=≤<=*n*<=≤<=100; 0<=≤<=*x*0<=≤<=1000). The following *n* lines contain pairs of integers *a**i*,<=*b**i* (0<=≤<=*a**i*,<=*b**i*<=≤<=1000; *a**i*<=≠<=*b**i*). | Output the required minimum distance in the same units as the positions on the racetrack. If there is no such a position, output -1. | [
"3 3\n0 7\n14 2\n4 6\n"
] | [
"1\n"
] | none | 0 | [
{
"input": "3 3\n0 7\n14 2\n4 6",
"output": "1"
},
{
"input": "1 1\n0 10",
"output": "0"
},
{
"input": "2 2\n1 2\n3 2",
"output": "0"
},
{
"input": "3 2\n1 2\n2 3\n3 4",
"output": "-1"
},
{
"input": "2 4\n10 4\n1 5",
"output": "0"
},
{
"input": "1 10\n... | 1,683,039,409 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 3 | 310 | 3,584,000 | import sys
from fractions import Fraction
input = sys.stdin.readline
n, x = map(int, input().split())
p = 0
for _ in range(n):
a, b = sorted(map(int, input().split()))
k = range(a, b+1)
if x not in k:
p += abs(x-a)
print(p) | Title: Young Photographer
Time Limit: 2 seconds
Memory Limit: 64 megabytes
Problem Description:
Among other things, Bob is keen on photography. Especially he likes to take pictures of sportsmen. That was the reason why he placed himself in position *x*0 of a long straight racetrack and got ready to take pictures. But the problem was that not all the runners passed him. The total amount of sportsmen, training at that racetrack, equals *n*. And each of them regularly runs distances within a particular segment of the racetrack, which is the same for each sportsman. For example, the first sportsman runs from position *a*1 to position *b*1, the second — from *a*2 to *b*2
What is the minimum distance that Bob should move to have a chance to take pictures of each sportsman? Bob can take a picture of a sportsman, if he stands within the segment that this sportsman covers on the racetrack.
Input Specification:
The first line of the input file contains integers *n* and *x*0 (1<=≤<=*n*<=≤<=100; 0<=≤<=*x*0<=≤<=1000). The following *n* lines contain pairs of integers *a**i*,<=*b**i* (0<=≤<=*a**i*,<=*b**i*<=≤<=1000; *a**i*<=≠<=*b**i*).
Output Specification:
Output the required minimum distance in the same units as the positions on the racetrack. If there is no such a position, output -1.
Demo Input:
['3 3\n0 7\n14 2\n4 6\n']
Demo Output:
['1\n']
Note:
none | ```python
import sys
from fractions import Fraction
input = sys.stdin.readline
n, x = map(int, input().split())
p = 0
for _ in range(n):
a, b = sorted(map(int, input().split()))
k = range(a, b+1)
if x not in k:
p += abs(x-a)
print(p)
``` | 0 |
385 | A | Bear and Raspberry | PROGRAMMING | 1,000 | [
"brute force",
"greedy",
"implementation"
] | null | null | The bear decided to store some raspberry for the winter. He cunningly found out the price for a barrel of honey in kilos of raspberry for each of the following *n* days. According to the bear's data, on the *i*-th (1<=≤<=*i*<=≤<=*n*) day, the price for one barrel of honey is going to is *x**i* kilos of raspberry.
Unfortunately, the bear has neither a honey barrel, nor the raspberry. At the same time, the bear's got a friend who is ready to lend him a barrel of honey for exactly one day for *c* kilograms of raspberry. That's why the bear came up with a smart plan. He wants to choose some day *d* (1<=≤<=*d*<=<<=*n*), lent a barrel of honey and immediately (on day *d*) sell it according to a daily exchange rate. The next day (*d*<=+<=1) the bear wants to buy a new barrel of honey according to a daily exchange rate (as he's got some raspberry left from selling the previous barrel) and immediately (on day *d*<=+<=1) give his friend the borrowed barrel of honey as well as *c* kilograms of raspberry for renting the barrel.
The bear wants to execute his plan at most once and then hibernate. What maximum number of kilograms of raspberry can he earn? Note that if at some point of the plan the bear runs out of the raspberry, then he won't execute such a plan. | The first line contains two space-separated integers, *n* and *c* (2<=≤<=*n*<=≤<=100,<=0<=≤<=*c*<=≤<=100), — the number of days and the number of kilos of raspberry that the bear should give for borrowing the barrel.
The second line contains *n* space-separated integers *x*1,<=*x*2,<=...,<=*x**n* (0<=≤<=*x**i*<=≤<=100), the price of a honey barrel on day *i*. | Print a single integer — the answer to the problem. | [
"5 1\n5 10 7 3 20\n",
"6 2\n100 1 10 40 10 40\n",
"3 0\n1 2 3\n"
] | [
"3\n",
"97\n",
"0\n"
] | In the first sample the bear will lend a honey barrel at day 3 and then sell it for 7. Then the bear will buy a barrel for 3 and return it to the friend. So, the profit is (7 - 3 - 1) = 3.
In the second sample bear will lend a honey barrel at day 1 and then sell it for 100. Then the bear buy the barrel for 1 at the day 2. So, the profit is (100 - 1 - 2) = 97. | 500 | [
{
"input": "5 1\n5 10 7 3 20",
"output": "3"
},
{
"input": "6 2\n100 1 10 40 10 40",
"output": "97"
},
{
"input": "3 0\n1 2 3",
"output": "0"
},
{
"input": "2 0\n2 1",
"output": "1"
},
{
"input": "10 5\n10 1 11 2 12 3 13 4 14 5",
"output": "4"
},
{
"in... | 1,398,866,754 | 2,147,483,647 | Python 3 | OK | TESTS | 32 | 77 | 0 |
s = input().rstrip().split(' ')
n, c = int (s[0]), int(s[1])
x = input().rstrip().split(' ')
max = int (x[0]) - int (x[1]) - c
for i in range (1, n - 1):
if int (x[i]) - int (x[i + 1]) - c > max:
max = int (x[i]) - int (x[i+1]) - c
if max < 0:
max = 0
print (max)
| Title: Bear and Raspberry
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The bear decided to store some raspberry for the winter. He cunningly found out the price for a barrel of honey in kilos of raspberry for each of the following *n* days. According to the bear's data, on the *i*-th (1<=≤<=*i*<=≤<=*n*) day, the price for one barrel of honey is going to is *x**i* kilos of raspberry.
Unfortunately, the bear has neither a honey barrel, nor the raspberry. At the same time, the bear's got a friend who is ready to lend him a barrel of honey for exactly one day for *c* kilograms of raspberry. That's why the bear came up with a smart plan. He wants to choose some day *d* (1<=≤<=*d*<=<<=*n*), lent a barrel of honey and immediately (on day *d*) sell it according to a daily exchange rate. The next day (*d*<=+<=1) the bear wants to buy a new barrel of honey according to a daily exchange rate (as he's got some raspberry left from selling the previous barrel) and immediately (on day *d*<=+<=1) give his friend the borrowed barrel of honey as well as *c* kilograms of raspberry for renting the barrel.
The bear wants to execute his plan at most once and then hibernate. What maximum number of kilograms of raspberry can he earn? Note that if at some point of the plan the bear runs out of the raspberry, then he won't execute such a plan.
Input Specification:
The first line contains two space-separated integers, *n* and *c* (2<=≤<=*n*<=≤<=100,<=0<=≤<=*c*<=≤<=100), — the number of days and the number of kilos of raspberry that the bear should give for borrowing the barrel.
The second line contains *n* space-separated integers *x*1,<=*x*2,<=...,<=*x**n* (0<=≤<=*x**i*<=≤<=100), the price of a honey barrel on day *i*.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['5 1\n5 10 7 3 20\n', '6 2\n100 1 10 40 10 40\n', '3 0\n1 2 3\n']
Demo Output:
['3\n', '97\n', '0\n']
Note:
In the first sample the bear will lend a honey barrel at day 3 and then sell it for 7. Then the bear will buy a barrel for 3 and return it to the friend. So, the profit is (7 - 3 - 1) = 3.
In the second sample bear will lend a honey barrel at day 1 and then sell it for 100. Then the bear buy the barrel for 1 at the day 2. So, the profit is (100 - 1 - 2) = 97. | ```python
s = input().rstrip().split(' ')
n, c = int (s[0]), int(s[1])
x = input().rstrip().split(' ')
max = int (x[0]) - int (x[1]) - c
for i in range (1, n - 1):
if int (x[i]) - int (x[i + 1]) - c > max:
max = int (x[i]) - int (x[i+1]) - c
if max < 0:
max = 0
print (max)
``` | 3 | |
977 | A | Wrong Subtraction | PROGRAMMING | 800 | [
"implementation"
] | null | null | Little girl Tanya is learning how to decrease a number by one, but she does it wrong with a number consisting of two or more digits. Tanya subtracts one from a number by the following algorithm:
- if the last digit of the number is non-zero, she decreases the number by one; - if the last digit of the number is zero, she divides the number by 10 (i.e. removes the last digit).
You are given an integer number $n$. Tanya will subtract one from it $k$ times. Your task is to print the result after all $k$ subtractions.
It is guaranteed that the result will be positive integer number. | The first line of the input contains two integer numbers $n$ and $k$ ($2 \le n \le 10^9$, $1 \le k \le 50$) — the number from which Tanya will subtract and the number of subtractions correspondingly. | Print one integer number — the result of the decreasing $n$ by one $k$ times.
It is guaranteed that the result will be positive integer number. | [
"512 4\n",
"1000000000 9\n"
] | [
"50\n",
"1\n"
] | The first example corresponds to the following sequence: $512 \rightarrow 511 \rightarrow 510 \rightarrow 51 \rightarrow 50$. | 0 | [
{
"input": "512 4",
"output": "50"
},
{
"input": "1000000000 9",
"output": "1"
},
{
"input": "131203 11",
"output": "12"
},
{
"input": "999999999 50",
"output": "9999"
},
{
"input": "999999999 49",
"output": "99990"
},
{
"input": "131203 9",
"outpu... | 1,694,080,862 | 2,147,483,647 | Python 3 | OK | TESTS | 11 | 46 | 0 | a=str(input(""))
b=0
f=-1
c=''
d=''
while a[f]!=" ":
d=a[f]+d
f=f-1
while a[b]!=" " :
c=c+a[b]
b=b+1
e=int(c)
g=int(d)
for i in range(0,g):
if e%10==0:
e=e/10
else:
e=e-1
print(int(e)) | Title: Wrong Subtraction
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little girl Tanya is learning how to decrease a number by one, but she does it wrong with a number consisting of two or more digits. Tanya subtracts one from a number by the following algorithm:
- if the last digit of the number is non-zero, she decreases the number by one; - if the last digit of the number is zero, she divides the number by 10 (i.e. removes the last digit).
You are given an integer number $n$. Tanya will subtract one from it $k$ times. Your task is to print the result after all $k$ subtractions.
It is guaranteed that the result will be positive integer number.
Input Specification:
The first line of the input contains two integer numbers $n$ and $k$ ($2 \le n \le 10^9$, $1 \le k \le 50$) — the number from which Tanya will subtract and the number of subtractions correspondingly.
Output Specification:
Print one integer number — the result of the decreasing $n$ by one $k$ times.
It is guaranteed that the result will be positive integer number.
Demo Input:
['512 4\n', '1000000000 9\n']
Demo Output:
['50\n', '1\n']
Note:
The first example corresponds to the following sequence: $512 \rightarrow 511 \rightarrow 510 \rightarrow 51 \rightarrow 50$. | ```python
a=str(input(""))
b=0
f=-1
c=''
d=''
while a[f]!=" ":
d=a[f]+d
f=f-1
while a[b]!=" " :
c=c+a[b]
b=b+1
e=int(c)
g=int(d)
for i in range(0,g):
if e%10==0:
e=e/10
else:
e=e-1
print(int(e))
``` | 3 | |
276 | B | Little Girl and Game | PROGRAMMING | 1,300 | [
"games",
"greedy"
] | null | null | The Little Girl loves problems on games very much. Here's one of them.
Two players have got a string *s*, consisting of lowercase English letters. They play a game that is described by the following rules:
- The players move in turns; In one move the player can remove an arbitrary letter from string *s*. - If the player before his turn can reorder the letters in string *s* so as to get a palindrome, this player wins. A palindrome is a string that reads the same both ways (from left to right, and vice versa). For example, string "abba" is a palindrome and string "abc" isn't.
Determine which player will win, provided that both sides play optimally well — the one who moves first or the one who moves second. | The input contains a single line, containing string *s* (1<=≤<=|*s*|<=<=≤<=<=103). String *s* consists of lowercase English letters. | In a single line print word "First" if the first player wins (provided that both players play optimally well). Otherwise, print word "Second". Print the words without the quotes. | [
"aba\n",
"abca\n"
] | [
"First\n",
"Second\n"
] | none | 1,000 | [
{
"input": "aba",
"output": "First"
},
{
"input": "abca",
"output": "Second"
},
{
"input": "aabb",
"output": "First"
},
{
"input": "ctjxzuimsxnarlciuynqeoqmmbqtagszuo",
"output": "Second"
},
{
"input": "gevqgtaorjixsxnbcoybr",
"output": "First"
},
{
"i... | 1,696,898,167 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 51 | 154 | 0 | import sys
input = sys.stdin.readline
from collections import Counter , defaultdict
def instr():
return input()[:-1]
import math
############################
w = instr()
c = Counter(w)
f = sum(x%2 != 0 for x in c.values())
if f == 0 :
print("First")
else :
print("First" if f%2 != 0 else "Second") | Title: Little Girl and Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Little Girl loves problems on games very much. Here's one of them.
Two players have got a string *s*, consisting of lowercase English letters. They play a game that is described by the following rules:
- The players move in turns; In one move the player can remove an arbitrary letter from string *s*. - If the player before his turn can reorder the letters in string *s* so as to get a palindrome, this player wins. A palindrome is a string that reads the same both ways (from left to right, and vice versa). For example, string "abba" is a palindrome and string "abc" isn't.
Determine which player will win, provided that both sides play optimally well — the one who moves first or the one who moves second.
Input Specification:
The input contains a single line, containing string *s* (1<=≤<=|*s*|<=<=≤<=<=103). String *s* consists of lowercase English letters.
Output Specification:
In a single line print word "First" if the first player wins (provided that both players play optimally well). Otherwise, print word "Second". Print the words without the quotes.
Demo Input:
['aba\n', 'abca\n']
Demo Output:
['First\n', 'Second\n']
Note:
none | ```python
import sys
input = sys.stdin.readline
from collections import Counter , defaultdict
def instr():
return input()[:-1]
import math
############################
w = instr()
c = Counter(w)
f = sum(x%2 != 0 for x in c.values())
if f == 0 :
print("First")
else :
print("First" if f%2 != 0 else "Second")
``` | 3 | |
998 | B | Cutting | PROGRAMMING | 1,200 | [
"dp",
"greedy",
"sortings"
] | null | null | There are a lot of things which could be cut — trees, paper, "the rope". In this problem you are going to cut a sequence of integers.
There is a sequence of integers, which contains the equal number of even and odd numbers. Given a limited budget, you need to make maximum possible number of cuts such that each resulting segment will have the same number of odd and even integers.
Cuts separate a sequence to continuous (contiguous) segments. You may think about each cut as a break between two adjacent elements in a sequence. So after cutting each element belongs to exactly one segment. Say, $[4, 1, 2, 3, 4, 5, 4, 4, 5, 5]$ $\to$ two cuts $\to$ $[4, 1 | 2, 3, 4, 5 | 4, 4, 5, 5]$. On each segment the number of even elements should be equal to the number of odd elements.
The cost of the cut between $x$ and $y$ numbers is $|x - y|$ bitcoins. Find the maximum possible number of cuts that can be made while spending no more than $B$ bitcoins. | First line of the input contains an integer $n$ ($2 \le n \le 100$) and an integer $B$ ($1 \le B \le 100$) — the number of elements in the sequence and the number of bitcoins you have.
Second line contains $n$ integers: $a_1$, $a_2$, ..., $a_n$ ($1 \le a_i \le 100$) — elements of the sequence, which contains the equal number of even and odd numbers | Print the maximum possible number of cuts which can be made while spending no more than $B$ bitcoins. | [
"6 4\n1 2 5 10 15 20\n",
"4 10\n1 3 2 4\n",
"6 100\n1 2 3 4 5 6\n"
] | [
"1\n",
"0\n",
"2\n"
] | In the first sample the optimal answer is to split sequence between $2$ and $5$. Price of this cut is equal to $3$ bitcoins.
In the second sample it is not possible to make even one cut even with unlimited number of bitcoins.
In the third sample the sequence should be cut between $2$ and $3$, and between $4$ and $5$. The total price of the cuts is $1 + 1 = 2$ bitcoins. | 1,000 | [
{
"input": "6 4\n1 2 5 10 15 20",
"output": "1"
},
{
"input": "4 10\n1 3 2 4",
"output": "0"
},
{
"input": "6 100\n1 2 3 4 5 6",
"output": "2"
},
{
"input": "2 100\n13 78",
"output": "0"
},
{
"input": "10 1\n56 56 98 2 11 64 97 41 95 53",
"output": "0"
},
... | 1,651,734,162 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 31 | 0 | n, money= int(input()) #���������� ����� � ��������������������
#money = int(input())
print(n, money) | Title: Cutting
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are a lot of things which could be cut — trees, paper, "the rope". In this problem you are going to cut a sequence of integers.
There is a sequence of integers, which contains the equal number of even and odd numbers. Given a limited budget, you need to make maximum possible number of cuts such that each resulting segment will have the same number of odd and even integers.
Cuts separate a sequence to continuous (contiguous) segments. You may think about each cut as a break between two adjacent elements in a sequence. So after cutting each element belongs to exactly one segment. Say, $[4, 1, 2, 3, 4, 5, 4, 4, 5, 5]$ $\to$ two cuts $\to$ $[4, 1 | 2, 3, 4, 5 | 4, 4, 5, 5]$. On each segment the number of even elements should be equal to the number of odd elements.
The cost of the cut between $x$ and $y$ numbers is $|x - y|$ bitcoins. Find the maximum possible number of cuts that can be made while spending no more than $B$ bitcoins.
Input Specification:
First line of the input contains an integer $n$ ($2 \le n \le 100$) and an integer $B$ ($1 \le B \le 100$) — the number of elements in the sequence and the number of bitcoins you have.
Second line contains $n$ integers: $a_1$, $a_2$, ..., $a_n$ ($1 \le a_i \le 100$) — elements of the sequence, which contains the equal number of even and odd numbers
Output Specification:
Print the maximum possible number of cuts which can be made while spending no more than $B$ bitcoins.
Demo Input:
['6 4\n1 2 5 10 15 20\n', '4 10\n1 3 2 4\n', '6 100\n1 2 3 4 5 6\n']
Demo Output:
['1\n', '0\n', '2\n']
Note:
In the first sample the optimal answer is to split sequence between $2$ and $5$. Price of this cut is equal to $3$ bitcoins.
In the second sample it is not possible to make even one cut even with unlimited number of bitcoins.
In the third sample the sequence should be cut between $2$ and $3$, and between $4$ and $5$. The total price of the cuts is $1 + 1 = 2$ bitcoins. | ```python
n, money= int(input()) #���������� ����� � ��������������������
#money = int(input())
print(n, money)
``` | -1 | |
624 | B | Making a String | PROGRAMMING | 1,100 | [
"greedy",
"sortings"
] | null | null | You are given an alphabet consisting of *n* letters, your task is to make a string of the maximum possible length so that the following conditions are satisfied:
- the *i*-th letter occurs in the string no more than *a**i* times; - the number of occurrences of each letter in the string must be distinct for all the letters that occurred in the string at least once. | The first line of the input contains a single integer *n* (2<=<=≤<=<=*n*<=<=≤<=<=26) — the number of letters in the alphabet.
The next line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — *i*-th of these integers gives the limitation on the number of occurrences of the *i*-th character in the string. | Print a single integer — the maximum length of the string that meets all the requirements. | [
"3\n2 5 5\n",
"3\n1 1 2\n"
] | [
"11\n",
"3\n"
] | For convenience let's consider an alphabet consisting of three letters: "a", "b", "c". In the first sample, some of the optimal strings are: "cccaabbccbb", "aabcbcbcbcb". In the second sample some of the optimal strings are: "acc", "cbc". | 1,000 | [
{
"input": "3\n2 5 5",
"output": "11"
},
{
"input": "3\n1 1 2",
"output": "3"
},
{
"input": "2\n1 1",
"output": "1"
},
{
"input": "3\n1 1000000000 2",
"output": "1000000003"
},
{
"input": "26\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 10000... | 1,454,610,507 | 5,007 | Python 3 | WRONG_ANSWER | PRETESTS | 0 | 46 | 0 | n = int(input())
s = input().split()
s = [int(i) for i in s]
answer = 0
used = []
for i in range(n):
if s[i] not in used:
answer += s[i]
used.append(s[i])
print(answer)
| Title: Making a String
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given an alphabet consisting of *n* letters, your task is to make a string of the maximum possible length so that the following conditions are satisfied:
- the *i*-th letter occurs in the string no more than *a**i* times; - the number of occurrences of each letter in the string must be distinct for all the letters that occurred in the string at least once.
Input Specification:
The first line of the input contains a single integer *n* (2<=<=≤<=<=*n*<=<=≤<=<=26) — the number of letters in the alphabet.
The next line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — *i*-th of these integers gives the limitation on the number of occurrences of the *i*-th character in the string.
Output Specification:
Print a single integer — the maximum length of the string that meets all the requirements.
Demo Input:
['3\n2 5 5\n', '3\n1 1 2\n']
Demo Output:
['11\n', '3\n']
Note:
For convenience let's consider an alphabet consisting of three letters: "a", "b", "c". In the first sample, some of the optimal strings are: "cccaabbccbb", "aabcbcbcbcb". In the second sample some of the optimal strings are: "acc", "cbc". | ```python
n = int(input())
s = input().split()
s = [int(i) for i in s]
answer = 0
used = []
for i in range(n):
if s[i] not in used:
answer += s[i]
used.append(s[i])
print(answer)
``` | 0 | |
92 | B | Binary Number | PROGRAMMING | 1,300 | [
"greedy"
] | B. Binary Number | 1 | 256 | Little walrus Fangy loves math very much. That's why when he is bored he plays with a number performing some operations.
Fangy takes some positive integer *x* and wants to get a number one from it. While *x* is not equal to 1, Fangy repeats the following action: if *x* is odd, then he adds 1 to it, otherwise he divides *x* by 2. Fangy knows that for any positive integer number the process ends in finite time.
How many actions should Fangy perform to get a number one from number *x*? | The first line contains a positive integer *x* in a binary system. It is guaranteed that the first digit of *x* is different from a zero and the number of its digits does not exceed 106. | Print the required number of actions. | [
"1\n",
"1001001\n",
"101110\n"
] | [
"0\n",
"12\n",
"8\n"
] | Let's consider the third sample. Number 101110 is even, which means that we should divide it by 2. After the dividing Fangy gets an odd number 10111 and adds one to it. Number 11000 can be divided by 2 three times in a row and get number 11. All that's left is to increase the number by one (we get 100), and then divide it by 2 two times in a row. As a result, we get 1. | 1,000 | [
{
"input": "1",
"output": "0"
},
{
"input": "1001001",
"output": "12"
},
{
"input": "101110",
"output": "8"
},
{
"input": "11",
"output": "3"
},
{
"input": "11110001101",
"output": "16"
},
{
"input": "101010100100111100011111001111100001010101111110101... | 1,681,900,848 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 8 | 46 | 0 | s = input()
ss = s[::-1]
num = 0
j = 0
for i in range(0 , len(ss)):
if (ss[i] == '1'):
num += pow(2,j)
j += 1
ans = 0
while(num > 1):
if(num % 2):
num = num + 1
else :
num = num / 2
ans = ans + 1
print(ans)
| Title: Binary Number
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Little walrus Fangy loves math very much. That's why when he is bored he plays with a number performing some operations.
Fangy takes some positive integer *x* and wants to get a number one from it. While *x* is not equal to 1, Fangy repeats the following action: if *x* is odd, then he adds 1 to it, otherwise he divides *x* by 2. Fangy knows that for any positive integer number the process ends in finite time.
How many actions should Fangy perform to get a number one from number *x*?
Input Specification:
The first line contains a positive integer *x* in a binary system. It is guaranteed that the first digit of *x* is different from a zero and the number of its digits does not exceed 106.
Output Specification:
Print the required number of actions.
Demo Input:
['1\n', '1001001\n', '101110\n']
Demo Output:
['0\n', '12\n', '8\n']
Note:
Let's consider the third sample. Number 101110 is even, which means that we should divide it by 2. After the dividing Fangy gets an odd number 10111 and adds one to it. Number 11000 can be divided by 2 three times in a row and get number 11. All that's left is to increase the number by one (we get 100), and then divide it by 2 two times in a row. As a result, we get 1. | ```python
s = input()
ss = s[::-1]
num = 0
j = 0
for i in range(0 , len(ss)):
if (ss[i] == '1'):
num += pow(2,j)
j += 1
ans = 0
while(num > 1):
if(num % 2):
num = num + 1
else :
num = num / 2
ans = ans + 1
print(ans)
``` | 0 |
897 | B | Chtholly's request | PROGRAMMING | 1,300 | [
"brute force"
] | null | null | — I experienced so many great things.
— You gave me memories like dreams... But I have to leave now...
— One last request, can you...
— Help me solve a Codeforces problem?
— ......
— What?
Chtholly has been thinking about a problem for days:
If a number is palindrome and length of its decimal representation without leading zeros is even, we call it a zcy number. A number is palindrome means when written in decimal representation, it contains no leading zeros and reads the same forwards and backwards. For example 12321 and 1221 are palindromes and 123 and 12451 are not. Moreover, 1221 is zcy number and 12321 is not.
Given integers *k* and *p*, calculate the sum of the *k* smallest zcy numbers and output this sum modulo *p*.
Unfortunately, Willem isn't good at solving this kind of problems, so he asks you for help! | The first line contains two integers *k* and *p* (1<=≤<=*k*<=≤<=105,<=1<=≤<=*p*<=≤<=109). | Output single integer — answer to the problem. | [
"2 100\n",
"5 30\n"
] | [
"33\n",
"15\n"
] | In the first example, the smallest zcy number is 11, and the second smallest zcy number is 22.
In the second example, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/68fffad54395f7d920ad0384e07c6215ddc64141.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | 1,000 | [
{
"input": "2 100",
"output": "33"
},
{
"input": "5 30",
"output": "15"
},
{
"input": "42147 412393322",
"output": "251637727"
},
{
"input": "77809 868097296",
"output": "440411873"
},
{
"input": "5105 443422097",
"output": "363192634"
},
{
"input": "7... | 1,607,101,986 | 2,147,483,647 | PyPy 3 | OK | TESTS | 26 | 171 | 2,150,400 | k, p = map(int, input().split())
res = 0
for i in range(1, k+1):
res += int(str(i)+(str(i)[::-1]))
res %= p
print(res) | Title: Chtholly's request
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
— I experienced so many great things.
— You gave me memories like dreams... But I have to leave now...
— One last request, can you...
— Help me solve a Codeforces problem?
— ......
— What?
Chtholly has been thinking about a problem for days:
If a number is palindrome and length of its decimal representation without leading zeros is even, we call it a zcy number. A number is palindrome means when written in decimal representation, it contains no leading zeros and reads the same forwards and backwards. For example 12321 and 1221 are palindromes and 123 and 12451 are not. Moreover, 1221 is zcy number and 12321 is not.
Given integers *k* and *p*, calculate the sum of the *k* smallest zcy numbers and output this sum modulo *p*.
Unfortunately, Willem isn't good at solving this kind of problems, so he asks you for help!
Input Specification:
The first line contains two integers *k* and *p* (1<=≤<=*k*<=≤<=105,<=1<=≤<=*p*<=≤<=109).
Output Specification:
Output single integer — answer to the problem.
Demo Input:
['2 100\n', '5 30\n']
Demo Output:
['33\n', '15\n']
Note:
In the first example, the smallest zcy number is 11, and the second smallest zcy number is 22.
In the second example, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/68fffad54395f7d920ad0384e07c6215ddc64141.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | ```python
k, p = map(int, input().split())
res = 0
for i in range(1, k+1):
res += int(str(i)+(str(i)[::-1]))
res %= p
print(res)
``` | 3 | |
831 | A | Unimodal Array | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Array of integers is unimodal, if:
- it is strictly increasing in the beginning; - after that it is constant; - after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5,<=7,<=11,<=11,<=2,<=1], [4,<=4,<=2], [7], but the following three are not unimodal: [5,<=5,<=6,<=6,<=1], [1,<=2,<=1,<=2], [4,<=5,<=5,<=6].
Write a program that checks if an array is unimodal. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000) — the elements of the array. | Print "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower). | [
"6\n1 5 5 5 4 2\n",
"5\n10 20 30 20 10\n",
"4\n1 2 1 2\n",
"7\n3 3 3 3 3 3 3\n"
] | [
"YES\n",
"YES\n",
"NO\n",
"YES\n"
] | In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively). | 500 | [
{
"input": "6\n1 5 5 5 4 2",
"output": "YES"
},
{
"input": "5\n10 20 30 20 10",
"output": "YES"
},
{
"input": "4\n1 2 1 2",
"output": "NO"
},
{
"input": "7\n3 3 3 3 3 3 3",
"output": "YES"
},
{
"input": "6\n5 7 11 11 2 1",
"output": "YES"
},
{
"input":... | 1,637,853,222 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 7 | 31 | 0 | n=int(input())
l=list(map(int,input().split()))
l=l[:n]
m=[]
for i in range(n-1):
if l[i]<l[i+1]:m.append(1)
elif l[i]==l[i+1]:m.append(0)
else:m.append(-1)
a=True
for i in range(len(m)-1):
if m[i]==-1 and (m[i+1]==1 or m[i+1]==0):
a=False
print('YES' if a else 'NO') | Title: Unimodal Array
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Array of integers is unimodal, if:
- it is strictly increasing in the beginning; - after that it is constant; - after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5,<=7,<=11,<=11,<=2,<=1], [4,<=4,<=2], [7], but the following three are not unimodal: [5,<=5,<=6,<=6,<=1], [1,<=2,<=1,<=2], [4,<=5,<=5,<=6].
Write a program that checks if an array is unimodal.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000) — the elements of the array.
Output Specification:
Print "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower).
Demo Input:
['6\n1 5 5 5 4 2\n', '5\n10 20 30 20 10\n', '4\n1 2 1 2\n', '7\n3 3 3 3 3 3 3\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n', 'YES\n']
Note:
In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively). | ```python
n=int(input())
l=list(map(int,input().split()))
l=l[:n]
m=[]
for i in range(n-1):
if l[i]<l[i+1]:m.append(1)
elif l[i]==l[i+1]:m.append(0)
else:m.append(-1)
a=True
for i in range(len(m)-1):
if m[i]==-1 and (m[i+1]==1 or m[i+1]==0):
a=False
print('YES' if a else 'NO')
``` | 0 | |
158 | B | Taxi | PROGRAMMING | 1,100 | [
"*special",
"greedy",
"implementation"
] | null | null | After the lessons *n* groups of schoolchildren went outside and decided to visit Polycarpus to celebrate his birthday. We know that the *i*-th group consists of *s**i* friends (1<=≤<=*s**i*<=≤<=4), and they want to go to Polycarpus together. They decided to get there by taxi. Each car can carry at most four passengers. What minimum number of cars will the children need if all members of each group should ride in the same taxi (but one taxi can take more than one group)? | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of groups of schoolchildren. The second line contains a sequence of integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s**i*<=≤<=4). The integers are separated by a space, *s**i* is the number of children in the *i*-th group. | Print the single number — the minimum number of taxis necessary to drive all children to Polycarpus. | [
"5\n1 2 4 3 3\n",
"8\n2 3 4 4 2 1 3 1\n"
] | [
"4\n",
"5\n"
] | In the first test we can sort the children into four cars like this:
- the third group (consisting of four children), - the fourth group (consisting of three children), - the fifth group (consisting of three children), - the first and the second group (consisting of one and two children, correspondingly).
There are other ways to sort the groups into four cars. | 1,000 | [
{
"input": "5\n1 2 4 3 3",
"output": "4"
},
{
"input": "8\n2 3 4 4 2 1 3 1",
"output": "5"
},
{
"input": "5\n4 4 4 4 4",
"output": "5"
},
{
"input": "12\n1 1 1 1 1 1 1 1 1 1 1 1",
"output": "3"
},
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "4\n3 ... | 1,696,672,999 | 2,147,483,647 | Python 3 | OK | TESTS | 105 | 156 | 3,481,600 | def min_taxis(groups):
counts = [groups.count(i) for i in range(1, 5)]
return counts[3] + counts[2] + (counts[1]*2 + max(0, counts[0] - counts[2]) + 3) // 4
# Пример использования
n = int(input())
groups = list(map(int, input().split()))
result = min_taxis(groups)
print(result)
| Title: Taxi
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
After the lessons *n* groups of schoolchildren went outside and decided to visit Polycarpus to celebrate his birthday. We know that the *i*-th group consists of *s**i* friends (1<=≤<=*s**i*<=≤<=4), and they want to go to Polycarpus together. They decided to get there by taxi. Each car can carry at most four passengers. What minimum number of cars will the children need if all members of each group should ride in the same taxi (but one taxi can take more than one group)?
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of groups of schoolchildren. The second line contains a sequence of integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s**i*<=≤<=4). The integers are separated by a space, *s**i* is the number of children in the *i*-th group.
Output Specification:
Print the single number — the minimum number of taxis necessary to drive all children to Polycarpus.
Demo Input:
['5\n1 2 4 3 3\n', '8\n2 3 4 4 2 1 3 1\n']
Demo Output:
['4\n', '5\n']
Note:
In the first test we can sort the children into four cars like this:
- the third group (consisting of four children), - the fourth group (consisting of three children), - the fifth group (consisting of three children), - the first and the second group (consisting of one and two children, correspondingly).
There are other ways to sort the groups into four cars. | ```python
def min_taxis(groups):
counts = [groups.count(i) for i in range(1, 5)]
return counts[3] + counts[2] + (counts[1]*2 + max(0, counts[0] - counts[2]) + 3) // 4
# Пример использования
n = int(input())
groups = list(map(int, input().split()))
result = min_taxis(groups)
print(result)
``` | 3 | |
149 | C | Division into Teams | PROGRAMMING | 1,500 | [
"greedy",
"math",
"sortings"
] | null | null | Petya loves football very much, especially when his parents aren't home. Each morning he comes to the yard, gathers his friends and they play all day. From time to time they have a break to have some food or do some chores (for example, water the flowers).
The key in football is to divide into teams fairly before the game begins. There are *n* boys playing football in the yard (including Petya), each boy's football playing skill is expressed with a non-negative characteristic *a**i* (the larger it is, the better the boy plays).
Let's denote the number of players in the first team as *x*, the number of players in the second team as *y*, the individual numbers of boys who play for the first team as *p**i* and the individual numbers of boys who play for the second team as *q**i*. Division *n* boys into two teams is considered fair if three conditions are fulfilled:
- Each boy plays for exactly one team (*x*<=+<=*y*<==<=*n*). - The sizes of teams differ in no more than one (|*x*<=-<=*y*|<=≤<=1). - The total football playing skills for two teams differ in no more than by the value of skill the best player in the yard has. More formally:
Your task is to help guys divide into two teams fairly. It is guaranteed that a fair division into two teams always exists. | The first line contains the only integer *n* (2<=≤<=*n*<=≤<=105) which represents the number of guys in the yard. The next line contains *n* positive space-separated integers, *a**i* (1<=≤<=*a**i*<=≤<=104), the *i*-th number represents the *i*-th boy's playing skills. | On the first line print an integer *x* — the number of boys playing for the first team. On the second line print *x* integers — the individual numbers of boys playing for the first team. On the third line print an integer *y* — the number of boys playing for the second team, on the fourth line print *y* integers — the individual numbers of boys playing for the second team. Don't forget that you should fulfil all three conditions: *x*<=+<=*y*<==<=*n*, |*x*<=-<=*y*|<=≤<=1, and the condition that limits the total skills.
If there are multiple ways to solve the problem, print any of them.
The boys are numbered starting from one in the order in which their skills are given in the input data. You are allowed to print individual numbers of boys who belong to the same team in any order. | [
"3\n1 2 1\n",
"5\n2 3 3 1 1\n"
] | [
"2\n1 2 \n1\n3 \n",
"3\n4 1 3 \n2\n5 2 \n"
] | Let's consider the first sample test. There we send the first and the second boy to the first team and the third boy to the second team. Let's check all three conditions of a fair division. The first limitation is fulfilled (all boys play), the second limitation on the sizes of groups (|2 - 1| = 1 ≤ 1) is fulfilled, the third limitation on the difference in skills ((2 + 1) - (1) = 2 ≤ 2) is fulfilled. | 1,500 | [
{
"input": "3\n1 2 1",
"output": "2\n1 2 \n1\n3 "
},
{
"input": "5\n2 3 3 1 1",
"output": "3\n4 1 3 \n2\n5 2 "
},
{
"input": "10\n2 2 2 2 2 2 2 1 2 2",
"output": "5\n8 2 4 6 9 \n5\n1 3 5 7 10 "
},
{
"input": "10\n2 3 3 1 3 1 1 1 2 2",
"output": "5\n4 7 1 10 3 \n5\n6 8 9 2... | 1,669,996,809 | 2,147,483,647 | Python 3 | OK | TESTS | 47 | 280 | 9,830,400 | n = int(input())
a = list(map(int,input().split()))
b = list(range(1,n+1))
z = sorted(list(zip(a,b)))
x = []
y = []
sx = 0
sy = 0
for i,j in z:
if sx<=sy:
x.append(j)
sx+=i
else:
y.append(j)
sy+=i
print(len(x))
print(*x)
print(len(y))
print(*y) | Title: Division into Teams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya loves football very much, especially when his parents aren't home. Each morning he comes to the yard, gathers his friends and they play all day. From time to time they have a break to have some food or do some chores (for example, water the flowers).
The key in football is to divide into teams fairly before the game begins. There are *n* boys playing football in the yard (including Petya), each boy's football playing skill is expressed with a non-negative characteristic *a**i* (the larger it is, the better the boy plays).
Let's denote the number of players in the first team as *x*, the number of players in the second team as *y*, the individual numbers of boys who play for the first team as *p**i* and the individual numbers of boys who play for the second team as *q**i*. Division *n* boys into two teams is considered fair if three conditions are fulfilled:
- Each boy plays for exactly one team (*x*<=+<=*y*<==<=*n*). - The sizes of teams differ in no more than one (|*x*<=-<=*y*|<=≤<=1). - The total football playing skills for two teams differ in no more than by the value of skill the best player in the yard has. More formally:
Your task is to help guys divide into two teams fairly. It is guaranteed that a fair division into two teams always exists.
Input Specification:
The first line contains the only integer *n* (2<=≤<=*n*<=≤<=105) which represents the number of guys in the yard. The next line contains *n* positive space-separated integers, *a**i* (1<=≤<=*a**i*<=≤<=104), the *i*-th number represents the *i*-th boy's playing skills.
Output Specification:
On the first line print an integer *x* — the number of boys playing for the first team. On the second line print *x* integers — the individual numbers of boys playing for the first team. On the third line print an integer *y* — the number of boys playing for the second team, on the fourth line print *y* integers — the individual numbers of boys playing for the second team. Don't forget that you should fulfil all three conditions: *x*<=+<=*y*<==<=*n*, |*x*<=-<=*y*|<=≤<=1, and the condition that limits the total skills.
If there are multiple ways to solve the problem, print any of them.
The boys are numbered starting from one in the order in which their skills are given in the input data. You are allowed to print individual numbers of boys who belong to the same team in any order.
Demo Input:
['3\n1 2 1\n', '5\n2 3 3 1 1\n']
Demo Output:
['2\n1 2 \n1\n3 \n', '3\n4 1 3 \n2\n5 2 \n']
Note:
Let's consider the first sample test. There we send the first and the second boy to the first team and the third boy to the second team. Let's check all three conditions of a fair division. The first limitation is fulfilled (all boys play), the second limitation on the sizes of groups (|2 - 1| = 1 ≤ 1) is fulfilled, the third limitation on the difference in skills ((2 + 1) - (1) = 2 ≤ 2) is fulfilled. | ```python
n = int(input())
a = list(map(int,input().split()))
b = list(range(1,n+1))
z = sorted(list(zip(a,b)))
x = []
y = []
sx = 0
sy = 0
for i,j in z:
if sx<=sy:
x.append(j)
sx+=i
else:
y.append(j)
sy+=i
print(len(x))
print(*x)
print(len(y))
print(*y)
``` | 3 | |
886 | A | ACM ICPC | PROGRAMMING | 1,000 | [
"brute force"
] | null | null | In a small but very proud high school it was decided to win ACM ICPC. This goal requires to compose as many teams of three as possible, but since there were only 6 students who wished to participate, the decision was to build exactly two teams.
After practice competition, participant number *i* got a score of *a**i*. Team score is defined as sum of scores of its participants. High school management is interested if it's possible to build two teams with equal scores. Your task is to answer that question. | The single line contains six integers *a*1,<=...,<=*a*6 (0<=≤<=*a**i*<=≤<=1000) — scores of the participants | Print "YES" (quotes for clarity), if it is possible to build teams with equal score, and "NO" otherwise.
You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES"). | [
"1 3 2 1 2 1\n",
"1 1 1 1 1 99\n"
] | [
"YES\n",
"NO\n"
] | In the first sample, first team can be composed of 1st, 2nd and 6th participant, second — of 3rd, 4th and 5th: team scores are 1 + 3 + 1 = 2 + 1 + 2 = 5.
In the second sample, score of participant number 6 is too high: his team score will be definitely greater. | 500 | [
{
"input": "1 3 2 1 2 1",
"output": "YES"
},
{
"input": "1 1 1 1 1 99",
"output": "NO"
},
{
"input": "1000 1000 1000 1000 1000 1000",
"output": "YES"
},
{
"input": "0 0 0 0 0 0",
"output": "YES"
},
{
"input": "633 609 369 704 573 416",
"output": "NO"
},
{
... | 1,510,507,584 | 4,884 | Python 3 | COMPILATION_ERROR | PRETESTS | 0 | 0 | 0 | #include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
int main()
{
int i,n,s=0,maxm=0,j;
vector<int> a(6);
for (i=0;i<6;i++) {
cin >> a[i];
if (maxm < a[i])
maxm = a[i];
s += a[i];
}
if (s % 2 == 1) {
cout << "NO";
return 0;
}
s /= 2;
for (i=1;i<6;i++)
for (j=i+1;j<6;j++)
if (s - a[0] - a[i] == a[j]) {
cout << "YES";
return 0;
}
cout << "NO";
return 0;
}
| Title: ACM ICPC
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In a small but very proud high school it was decided to win ACM ICPC. This goal requires to compose as many teams of three as possible, but since there were only 6 students who wished to participate, the decision was to build exactly two teams.
After practice competition, participant number *i* got a score of *a**i*. Team score is defined as sum of scores of its participants. High school management is interested if it's possible to build two teams with equal scores. Your task is to answer that question.
Input Specification:
The single line contains six integers *a*1,<=...,<=*a*6 (0<=≤<=*a**i*<=≤<=1000) — scores of the participants
Output Specification:
Print "YES" (quotes for clarity), if it is possible to build teams with equal score, and "NO" otherwise.
You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES").
Demo Input:
['1 3 2 1 2 1\n', '1 1 1 1 1 99\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample, first team can be composed of 1st, 2nd and 6th participant, second — of 3rd, 4th and 5th: team scores are 1 + 3 + 1 = 2 + 1 + 2 = 5.
In the second sample, score of participant number 6 is too high: his team score will be definitely greater. | ```python
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
int main()
{
int i,n,s=0,maxm=0,j;
vector<int> a(6);
for (i=0;i<6;i++) {
cin >> a[i];
if (maxm < a[i])
maxm = a[i];
s += a[i];
}
if (s % 2 == 1) {
cout << "NO";
return 0;
}
s /= 2;
for (i=1;i<6;i++)
for (j=i+1;j<6;j++)
if (s - a[0] - a[i] == a[j]) {
cout << "YES";
return 0;
}
cout << "NO";
return 0;
}
``` | -1 | |
54 | A | Presents | PROGRAMMING | 1,300 | [
"implementation"
] | A. Presents | 2 | 256 | The Hedgehog likes to give presents to his friend, but no less he likes to receive them.
Having received another present today, the Hedgehog suddenly understood that he has no place to put it as there was no room left on the special shelf in the cupboard. He will have to choose another shelf, but which one should he choose, how large should it be?
In order to get to know this, the Hedgehog asks you to write him a program that will count the estimated number of presents that he will receive during the following *N* days. Besides, he is guided by the principle:
- on each holiday day the Hedgehog will necessarily receive a present, - he receives presents at least every *K* days (i.e., if he received a present on the *i*-th day, he will receive the next present no later than on the *i*<=+<=*K*-th day).
For the given *N* and *K*, as well as the list of holidays among the following *N* days count the minimal number of presents that could be given to the Hedgehog. The number of today's day is zero, and you should regard today's present as already given (i.e., you shouldn't count it in the answer). | The first line contains integers *N* and *K* (1<=≤<=*N*<=≤<=365, 1<=≤<=*K*<=≤<=*N*).
The second line contains a number *C* which represents the number of holidays (0<=≤<=*C*<=≤<=*N*). Then in the same line follow *C* numbers ranging from 1 to *N* which are the numbers of holiday days. The numbers are given in the increasing order, without repeating numbers among them. | Print a single number — the minimal number of presents the Hedgehog will receive over the following *N* days. | [
"5 2\n1 3\n",
"10 1\n3 6 7 8\n"
] | [
"3",
"10"
] | none | 500 | [
{
"input": "5 2\n1 3",
"output": "3"
},
{
"input": "10 1\n3 6 7 8",
"output": "10"
},
{
"input": "5 5\n1 3",
"output": "1"
},
{
"input": "10 3\n3 3 6 9",
"output": "3"
},
{
"input": "5 2\n0",
"output": "2"
},
{
"input": "1 1\n0",
"output": "1"
},... | 1,678,450,793 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 2 | 62 | 0 | n, k = map(int, input().split(" "))
days = [0] + list(map(int, input().split(" ")))
count = 1
answer = 0
for i in days:
if(not count):
answer += i
count = (count+1)%(k+1)
print(answer)
| Title: Presents
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The Hedgehog likes to give presents to his friend, but no less he likes to receive them.
Having received another present today, the Hedgehog suddenly understood that he has no place to put it as there was no room left on the special shelf in the cupboard. He will have to choose another shelf, but which one should he choose, how large should it be?
In order to get to know this, the Hedgehog asks you to write him a program that will count the estimated number of presents that he will receive during the following *N* days. Besides, he is guided by the principle:
- on each holiday day the Hedgehog will necessarily receive a present, - he receives presents at least every *K* days (i.e., if he received a present on the *i*-th day, he will receive the next present no later than on the *i*<=+<=*K*-th day).
For the given *N* and *K*, as well as the list of holidays among the following *N* days count the minimal number of presents that could be given to the Hedgehog. The number of today's day is zero, and you should regard today's present as already given (i.e., you shouldn't count it in the answer).
Input Specification:
The first line contains integers *N* and *K* (1<=≤<=*N*<=≤<=365, 1<=≤<=*K*<=≤<=*N*).
The second line contains a number *C* which represents the number of holidays (0<=≤<=*C*<=≤<=*N*). Then in the same line follow *C* numbers ranging from 1 to *N* which are the numbers of holiday days. The numbers are given in the increasing order, without repeating numbers among them.
Output Specification:
Print a single number — the minimal number of presents the Hedgehog will receive over the following *N* days.
Demo Input:
['5 2\n1 3\n', '10 1\n3 6 7 8\n']
Demo Output:
['3', '10']
Note:
none | ```python
n, k = map(int, input().split(" "))
days = [0] + list(map(int, input().split(" ")))
count = 1
answer = 0
for i in days:
if(not count):
answer += i
count = (count+1)%(k+1)
print(answer)
``` | 0 |
799 | A | Carrot Cakes | PROGRAMMING | 1,100 | [
"brute force",
"implementation"
] | null | null | In some game by Playrix it takes *t* minutes for an oven to bake *k* carrot cakes, all cakes are ready at the same moment *t* minutes after they started baking. Arkady needs at least *n* cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady can build one more similar oven to make the process faster, it would take *d* minutes to build the oven. While the new oven is being built, only old one can bake cakes, after the new oven is built, both ovens bake simultaneously. Arkady can't build more than one oven.
Determine if it is reasonable to build the second oven, i.e. will it decrease the minimum time needed to get *n* cakes or not. If the time needed with the second oven is the same as with one oven, then it is unreasonable. | The only line contains four integers *n*, *t*, *k*, *d* (1<=≤<=*n*,<=*t*,<=*k*,<=*d*<=≤<=1<=000) — the number of cakes needed, the time needed for one oven to bake *k* cakes, the number of cakes baked at the same time, the time needed to build the second oven. | If it is reasonable to build the second oven, print "YES". Otherwise print "NO". | [
"8 6 4 5\n",
"8 6 4 6\n",
"10 3 11 4\n",
"4 2 1 4\n"
] | [
"YES\n",
"NO\n",
"NO\n",
"YES\n"
] | In the first example it is possible to get 8 cakes in 12 minutes using one oven. The second oven can be built in 5 minutes, so after 6 minutes the first oven bakes 4 cakes, the second oven bakes 4 more ovens after 11 minutes. Thus, it is reasonable to build the second oven.
In the second example it doesn't matter whether we build the second oven or not, thus it takes 12 minutes to bake 8 cakes in both cases. Thus, it is unreasonable to build the second oven.
In the third example the first oven bakes 11 cakes in 3 minutes, that is more than needed 10. It is unreasonable to build the second oven, because its building takes more time that baking the needed number of cakes using the only oven. | 500 | [
{
"input": "8 6 4 5",
"output": "YES"
},
{
"input": "8 6 4 6",
"output": "NO"
},
{
"input": "10 3 11 4",
"output": "NO"
},
{
"input": "4 2 1 4",
"output": "YES"
},
{
"input": "28 17 16 26",
"output": "NO"
},
{
"input": "60 69 9 438",
"output": "NO"... | 1,601,927,622 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 93 | 0 | n,t,k,d=map(int,input().split())
a=d
ans1=0
while ans1<=n:
a=a+t
ans1=ans1+2*k
ans2=0
b=0
while ans2<=n:
b=b+t
ans2=ans2+k
if a<b:
print("YES")
else:
print("NO") | Title: Carrot Cakes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In some game by Playrix it takes *t* minutes for an oven to bake *k* carrot cakes, all cakes are ready at the same moment *t* minutes after they started baking. Arkady needs at least *n* cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady can build one more similar oven to make the process faster, it would take *d* minutes to build the oven. While the new oven is being built, only old one can bake cakes, after the new oven is built, both ovens bake simultaneously. Arkady can't build more than one oven.
Determine if it is reasonable to build the second oven, i.e. will it decrease the minimum time needed to get *n* cakes or not. If the time needed with the second oven is the same as with one oven, then it is unreasonable.
Input Specification:
The only line contains four integers *n*, *t*, *k*, *d* (1<=≤<=*n*,<=*t*,<=*k*,<=*d*<=≤<=1<=000) — the number of cakes needed, the time needed for one oven to bake *k* cakes, the number of cakes baked at the same time, the time needed to build the second oven.
Output Specification:
If it is reasonable to build the second oven, print "YES". Otherwise print "NO".
Demo Input:
['8 6 4 5\n', '8 6 4 6\n', '10 3 11 4\n', '4 2 1 4\n']
Demo Output:
['YES\n', 'NO\n', 'NO\n', 'YES\n']
Note:
In the first example it is possible to get 8 cakes in 12 minutes using one oven. The second oven can be built in 5 minutes, so after 6 minutes the first oven bakes 4 cakes, the second oven bakes 4 more ovens after 11 minutes. Thus, it is reasonable to build the second oven.
In the second example it doesn't matter whether we build the second oven or not, thus it takes 12 minutes to bake 8 cakes in both cases. Thus, it is unreasonable to build the second oven.
In the third example the first oven bakes 11 cakes in 3 minutes, that is more than needed 10. It is unreasonable to build the second oven, because its building takes more time that baking the needed number of cakes using the only oven. | ```python
n,t,k,d=map(int,input().split())
a=d
ans1=0
while ans1<=n:
a=a+t
ans1=ans1+2*k
ans2=0
b=0
while ans2<=n:
b=b+t
ans2=ans2+k
if a<b:
print("YES")
else:
print("NO")
``` | 0 | |
884 | A | Book Reading | PROGRAMMING | 800 | [
"implementation"
] | null | null | Recently Luba bought a very interesting book. She knows that it will take *t* seconds to read the book. Luba wants to finish reading as fast as she can.
But she has some work to do in each of *n* next days. The number of seconds that Luba has to spend working during *i*-th day is *a**i*. If some free time remains, she can spend it on reading.
Help Luba to determine the minimum number of day when she finishes reading.
It is guaranteed that the answer doesn't exceed *n*.
Remember that there are 86400 seconds in a day. | The first line contains two integers *n* and *t* (1<=≤<=*n*<=≤<=100, 1<=≤<=*t*<=≤<=106) — the number of days and the time required to read the book.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=86400) — the time Luba has to spend on her work during *i*-th day. | Print the minimum day Luba can finish reading the book.
It is guaranteed that answer doesn't exceed *n*. | [
"2 2\n86400 86398\n",
"2 86400\n0 86400\n"
] | [
"2\n",
"1\n"
] | none | 0 | [
{
"input": "2 2\n86400 86398",
"output": "2"
},
{
"input": "2 86400\n0 86400",
"output": "1"
},
{
"input": "2 86400\n1 86399",
"output": "2"
},
{
"input": "100 1000000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0... | 1,568,045,649 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 4 | 93 | 0 | td,time=map(int,input().split())
ts=list(map(int,input().split()))
k=86400
sub=0
f=0
for i in range(td):
sub=k-ts[i]
f=f+1
if time==sub:
break
print(f)
| Title: Book Reading
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently Luba bought a very interesting book. She knows that it will take *t* seconds to read the book. Luba wants to finish reading as fast as she can.
But she has some work to do in each of *n* next days. The number of seconds that Luba has to spend working during *i*-th day is *a**i*. If some free time remains, she can spend it on reading.
Help Luba to determine the minimum number of day when she finishes reading.
It is guaranteed that the answer doesn't exceed *n*.
Remember that there are 86400 seconds in a day.
Input Specification:
The first line contains two integers *n* and *t* (1<=≤<=*n*<=≤<=100, 1<=≤<=*t*<=≤<=106) — the number of days and the time required to read the book.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=86400) — the time Luba has to spend on her work during *i*-th day.
Output Specification:
Print the minimum day Luba can finish reading the book.
It is guaranteed that answer doesn't exceed *n*.
Demo Input:
['2 2\n86400 86398\n', '2 86400\n0 86400\n']
Demo Output:
['2\n', '1\n']
Note:
none | ```python
td,time=map(int,input().split())
ts=list(map(int,input().split()))
k=86400
sub=0
f=0
for i in range(td):
sub=k-ts[i]
f=f+1
if time==sub:
break
print(f)
``` | 0 | |
471 | D | MUH and Cube Walls | PROGRAMMING | 1,800 | [
"string suffix structures",
"strings"
] | null | null | Polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got hold of lots of wooden cubes somewhere. They started making cube towers by placing the cubes one on top of the other. They defined multiple towers standing in a line as a wall. A wall can consist of towers of different heights.
Horace was the first to finish making his wall. He called his wall an elephant. The wall consists of *w* towers. The bears also finished making their wall but they didn't give it a name. Their wall consists of *n* towers. Horace looked at the bears' tower and wondered: in how many parts of the wall can he "see an elephant"? He can "see an elephant" on a segment of *w* contiguous towers if the heights of the towers on the segment match as a sequence the heights of the towers in Horace's wall. In order to see as many elephants as possible, Horace can raise and lower his wall. He even can lower the wall below the ground level (see the pictures to the samples for clarification).
Your task is to count the number of segments where Horace can "see an elephant". | The first line contains two integers *n* and *w* (1<=≤<=*n*,<=*w*<=≤<=2·105) — the number of towers in the bears' and the elephant's walls correspondingly. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the heights of the towers in the bears' wall. The third line contains *w* integers *b**i* (1<=≤<=*b**i*<=≤<=109) — the heights of the towers in the elephant's wall. | Print the number of segments in the bears' wall where Horace can "see an elephant". | [
"13 5\n2 4 5 5 4 3 2 2 2 3 3 2 1\n3 4 4 3 2\n"
] | [
"2"
] | The picture to the left shows Horace's wall from the sample, the picture to the right shows the bears' wall. The segments where Horace can "see an elephant" are in gray. | 2,000 | [
{
"input": "13 5\n2 4 5 5 4 3 2 2 2 3 3 2 1\n3 4 4 3 2",
"output": "2"
},
{
"input": "5 1\n8 71 1 24 2\n31",
"output": "5"
},
{
"input": "6 3\n2 2 2 2 2 2\n5 5 5",
"output": "4"
},
{
"input": "1 1\n576560149\n691846236",
"output": "1"
},
{
"input": "10 5\n5 10 8 1... | 1,696,622,947 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 15 | 0 | def count_elephant_segments(n, w, bear_wall, elephant_wall):
# Calcula um valor de hash para a parede do elefante
elephant_hash = hash(elephant_wall)
# Calcula um valor de hash para a janela inicial na parede dos ursos
bear_hash = hash(bear_wall[:w])
count = 0
# Percorre a parede dos ursos com a janela deslizante
for i in range(n - w + 1):
if i > 0:
# Atualiza o valor de hash da janela deslizante
bear_hash = bear_hash * 101 + bear_wall[i + w - 1] - bear_wall[i - 1] * 101 ** w
if bear_hash == elephant_hash:
count += 1
return count
# Leitura da entrada
n, w = map(int, input().split())
bear_wall = list(map(int, input().split()))
elephant_wall = list(map(int, input().split()))
# Chama a função para contar os segmentos onde Horace pode "ver um elefante"
result = count_elephant_segments(n, w, bear_wall, elephant_wall)
print(result)
| Title: MUH and Cube Walls
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got hold of lots of wooden cubes somewhere. They started making cube towers by placing the cubes one on top of the other. They defined multiple towers standing in a line as a wall. A wall can consist of towers of different heights.
Horace was the first to finish making his wall. He called his wall an elephant. The wall consists of *w* towers. The bears also finished making their wall but they didn't give it a name. Their wall consists of *n* towers. Horace looked at the bears' tower and wondered: in how many parts of the wall can he "see an elephant"? He can "see an elephant" on a segment of *w* contiguous towers if the heights of the towers on the segment match as a sequence the heights of the towers in Horace's wall. In order to see as many elephants as possible, Horace can raise and lower his wall. He even can lower the wall below the ground level (see the pictures to the samples for clarification).
Your task is to count the number of segments where Horace can "see an elephant".
Input Specification:
The first line contains two integers *n* and *w* (1<=≤<=*n*,<=*w*<=≤<=2·105) — the number of towers in the bears' and the elephant's walls correspondingly. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the heights of the towers in the bears' wall. The third line contains *w* integers *b**i* (1<=≤<=*b**i*<=≤<=109) — the heights of the towers in the elephant's wall.
Output Specification:
Print the number of segments in the bears' wall where Horace can "see an elephant".
Demo Input:
['13 5\n2 4 5 5 4 3 2 2 2 3 3 2 1\n3 4 4 3 2\n']
Demo Output:
['2']
Note:
The picture to the left shows Horace's wall from the sample, the picture to the right shows the bears' wall. The segments where Horace can "see an elephant" are in gray. | ```python
def count_elephant_segments(n, w, bear_wall, elephant_wall):
# Calcula um valor de hash para a parede do elefante
elephant_hash = hash(elephant_wall)
# Calcula um valor de hash para a janela inicial na parede dos ursos
bear_hash = hash(bear_wall[:w])
count = 0
# Percorre a parede dos ursos com a janela deslizante
for i in range(n - w + 1):
if i > 0:
# Atualiza o valor de hash da janela deslizante
bear_hash = bear_hash * 101 + bear_wall[i + w - 1] - bear_wall[i - 1] * 101 ** w
if bear_hash == elephant_hash:
count += 1
return count
# Leitura da entrada
n, w = map(int, input().split())
bear_wall = list(map(int, input().split()))
elephant_wall = list(map(int, input().split()))
# Chama a função para contar os segmentos onde Horace pode "ver um elefante"
result = count_elephant_segments(n, w, bear_wall, elephant_wall)
print(result)
``` | -1 | |
11 | A | Increasing Sequence | PROGRAMMING | 900 | [
"constructive algorithms",
"implementation",
"math"
] | A. Increasing Sequence | 1 | 64 | A sequence *a*0,<=*a*1,<=...,<=*a**t*<=-<=1 is called increasing if *a**i*<=-<=1<=<<=*a**i* for each *i*:<=0<=<<=*i*<=<<=*t*.
You are given a sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 and a positive integer *d*. In each move you may choose one element of the given sequence and add *d* to it. What is the least number of moves required to make the given sequence increasing? | The first line of the input contains two integer numbers *n* and *d* (2<=≤<=*n*<=≤<=2000,<=1<=≤<=*d*<=≤<=106). The second line contains space separated sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 (1<=≤<=*b**i*<=≤<=106). | Output the minimal number of moves needed to make the sequence increasing. | [
"4 2\n1 3 3 2\n"
] | [
"3\n"
] | none | 0 | [
{
"input": "4 2\n1 3 3 2",
"output": "3"
},
{
"input": "2 1\n1 1",
"output": "1"
},
{
"input": "2 1\n2 5",
"output": "0"
},
{
"input": "2 1\n1 2",
"output": "0"
},
{
"input": "2 1\n1 1",
"output": "1"
},
{
"input": "2 7\n10 20",
"output": "0"
},
... | 1,688,958,726 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 10 | 92 | 0 | n, d = map(int, input().split())
nums = list(map(int, input().split()))
count = 0
for i in range(1, n):
if nums[i] <= nums[i-1]:
count += (nums[i-1] - nums[i]) // d + 1
nums[i] += count * d
print(count)
| Title: Increasing Sequence
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
A sequence *a*0,<=*a*1,<=...,<=*a**t*<=-<=1 is called increasing if *a**i*<=-<=1<=<<=*a**i* for each *i*:<=0<=<<=*i*<=<<=*t*.
You are given a sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 and a positive integer *d*. In each move you may choose one element of the given sequence and add *d* to it. What is the least number of moves required to make the given sequence increasing?
Input Specification:
The first line of the input contains two integer numbers *n* and *d* (2<=≤<=*n*<=≤<=2000,<=1<=≤<=*d*<=≤<=106). The second line contains space separated sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 (1<=≤<=*b**i*<=≤<=106).
Output Specification:
Output the minimal number of moves needed to make the sequence increasing.
Demo Input:
['4 2\n1 3 3 2\n']
Demo Output:
['3\n']
Note:
none | ```python
n, d = map(int, input().split())
nums = list(map(int, input().split()))
count = 0
for i in range(1, n):
if nums[i] <= nums[i-1]:
count += (nums[i-1] - nums[i]) // d + 1
nums[i] += count * d
print(count)
``` | 0 |
436 | A | Feed with Candy | PROGRAMMING | 1,500 | [
"greedy"
] | null | null | The hero of the Cut the Rope game is a little monster named Om Nom. He loves candies. And what a coincidence! He also is the hero of today's problem.
One day, Om Nom visited his friend Evan. Evan has *n* candies of two types (fruit drops and caramel drops), the *i*-th candy hangs at the height of *h**i* centimeters above the floor of the house, its mass is *m**i*. Om Nom wants to eat as many candies as possible. At the beginning Om Nom can make at most *x* centimeter high jumps. When Om Nom eats a candy of mass *y*, he gets stronger and the height of his jump increases by *y* centimeters.
What maximum number of candies can Om Nom eat if he never eats two candies of the same type in a row (Om Nom finds it too boring)? | The first line contains two integers, *n* and *x* (1<=≤<=*n*,<=*x*<=≤<=2000) — the number of sweets Evan has and the initial height of Om Nom's jump.
Each of the following *n* lines contains three integers *t**i*,<=*h**i*,<=*m**i* (0<=≤<=*t**i*<=≤<=1; 1<=≤<=*h**i*,<=*m**i*<=≤<=2000) — the type, height and the mass of the *i*-th candy. If number *t**i* equals 0, then the current candy is a caramel drop, otherwise it is a fruit drop. | Print a single integer — the maximum number of candies Om Nom can eat. | [
"5 3\n0 2 4\n1 3 1\n0 8 3\n0 20 10\n1 5 5\n"
] | [
"4\n"
] | One of the possible ways to eat 4 candies is to eat them in the order: 1, 5, 3, 2. Let's assume the following scenario:
1. Initially, the height of Om Nom's jump equals 3. He can reach candies 1 and 2. Let's assume that he eats candy 1. As the mass of this candy equals 4, the height of his jump will rise to 3 + 4 = 7. 1. Now Om Nom can reach candies 2 and 5. Let's assume that he eats candy 5. Then the height of his jump will be 7 + 5 = 12. 1. At this moment, Om Nom can reach two candies, 2 and 3. He won't eat candy 2 as its type matches the type of the previously eaten candy. Om Nom eats candy 3, the height of his jump is 12 + 3 = 15. 1. Om Nom eats candy 2, the height of his jump is 15 + 1 = 16. He cannot reach candy 4. | 1,000 | [
{
"input": "5 3\n0 2 4\n1 3 1\n0 8 3\n0 20 10\n1 5 5",
"output": "4"
},
{
"input": "5 2\n1 15 2\n1 11 2\n0 17 2\n0 16 1\n1 18 2",
"output": "0"
},
{
"input": "6 2\n1 17 3\n1 6 1\n0 4 2\n1 10 1\n1 7 3\n1 5 1",
"output": "0"
},
{
"input": "7 2\n1 14 1\n1 9 2\n0 6 3\n0 20 2\n0 4... | 1,426,598,581 | 2,147,483,647 | Python 3 | OK | TESTS | 60 | 545 | 819,200 | from copy import deepcopy
def getBetter(h, a):
maxi = -1
im = -1
for i in range(len(a)):
if (h >= a[i][0]):
if (maxi < a[i][1]):
im = i
maxi = a[i][1]
return(im, maxi)
n, h0 = map(int, input().split())
lolipops0 = [[], []]
for i in range(n):
t, h, m = map(int, input().split())
lolipops0[t].append((h, m))
lolipops0[1].sort()
lolipops0[0].sort()
lolipops1 = deepcopy(lolipops0)
lol0 = getBetter(h0, lolipops0[0])
t1 = 0
h1 = h0
lol1 = getBetter(h0, lolipops0[1])
t2 = 1 # ---- WARNING --------
h2 = h0
while(lol0[0] >= 0 or lol1[0] >=0):
if (lol0[0] > -1):
if (len(lolipops0[t1 % 2]) != 1 and lol0[0] != -1):
lolipops0[t1 % 2].pop(lol0[0])
else:
lolipops0[t1 % 2] = []
t1 += 1
h1 += lol0[1]
lol0 = getBetter(h1, lolipops0[t1 % 2])
if (lol1[0] > -1):
if (len(lolipops1[t2 % 2]) != 1 and lol1[0] != -1):
lolipops1[t2 % 2].pop(lol1[0])
else:
lolipops1[t2 % 2] = []
t2 += 1
h2 += lol1[1]
lol1 = getBetter(h2, lolipops1[t2 % 2])
print(max(t1, t2 - 1)) | Title: Feed with Candy
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The hero of the Cut the Rope game is a little monster named Om Nom. He loves candies. And what a coincidence! He also is the hero of today's problem.
One day, Om Nom visited his friend Evan. Evan has *n* candies of two types (fruit drops and caramel drops), the *i*-th candy hangs at the height of *h**i* centimeters above the floor of the house, its mass is *m**i*. Om Nom wants to eat as many candies as possible. At the beginning Om Nom can make at most *x* centimeter high jumps. When Om Nom eats a candy of mass *y*, he gets stronger and the height of his jump increases by *y* centimeters.
What maximum number of candies can Om Nom eat if he never eats two candies of the same type in a row (Om Nom finds it too boring)?
Input Specification:
The first line contains two integers, *n* and *x* (1<=≤<=*n*,<=*x*<=≤<=2000) — the number of sweets Evan has and the initial height of Om Nom's jump.
Each of the following *n* lines contains three integers *t**i*,<=*h**i*,<=*m**i* (0<=≤<=*t**i*<=≤<=1; 1<=≤<=*h**i*,<=*m**i*<=≤<=2000) — the type, height and the mass of the *i*-th candy. If number *t**i* equals 0, then the current candy is a caramel drop, otherwise it is a fruit drop.
Output Specification:
Print a single integer — the maximum number of candies Om Nom can eat.
Demo Input:
['5 3\n0 2 4\n1 3 1\n0 8 3\n0 20 10\n1 5 5\n']
Demo Output:
['4\n']
Note:
One of the possible ways to eat 4 candies is to eat them in the order: 1, 5, 3, 2. Let's assume the following scenario:
1. Initially, the height of Om Nom's jump equals 3. He can reach candies 1 and 2. Let's assume that he eats candy 1. As the mass of this candy equals 4, the height of his jump will rise to 3 + 4 = 7. 1. Now Om Nom can reach candies 2 and 5. Let's assume that he eats candy 5. Then the height of his jump will be 7 + 5 = 12. 1. At this moment, Om Nom can reach two candies, 2 and 3. He won't eat candy 2 as its type matches the type of the previously eaten candy. Om Nom eats candy 3, the height of his jump is 12 + 3 = 15. 1. Om Nom eats candy 2, the height of his jump is 15 + 1 = 16. He cannot reach candy 4. | ```python
from copy import deepcopy
def getBetter(h, a):
maxi = -1
im = -1
for i in range(len(a)):
if (h >= a[i][0]):
if (maxi < a[i][1]):
im = i
maxi = a[i][1]
return(im, maxi)
n, h0 = map(int, input().split())
lolipops0 = [[], []]
for i in range(n):
t, h, m = map(int, input().split())
lolipops0[t].append((h, m))
lolipops0[1].sort()
lolipops0[0].sort()
lolipops1 = deepcopy(lolipops0)
lol0 = getBetter(h0, lolipops0[0])
t1 = 0
h1 = h0
lol1 = getBetter(h0, lolipops0[1])
t2 = 1 # ---- WARNING --------
h2 = h0
while(lol0[0] >= 0 or lol1[0] >=0):
if (lol0[0] > -1):
if (len(lolipops0[t1 % 2]) != 1 and lol0[0] != -1):
lolipops0[t1 % 2].pop(lol0[0])
else:
lolipops0[t1 % 2] = []
t1 += 1
h1 += lol0[1]
lol0 = getBetter(h1, lolipops0[t1 % 2])
if (lol1[0] > -1):
if (len(lolipops1[t2 % 2]) != 1 and lol1[0] != -1):
lolipops1[t2 % 2].pop(lol1[0])
else:
lolipops1[t2 % 2] = []
t2 += 1
h2 += lol1[1]
lol1 = getBetter(h2, lolipops1[t2 % 2])
print(max(t1, t2 - 1))
``` | 3 | |
842 | B | Gleb And Pizza | PROGRAMMING | 1,100 | [
"geometry"
] | null | null | Gleb ordered pizza home. When the courier delivered the pizza, he was very upset, because several pieces of sausage lay on the crust, and he does not really like the crust.
The pizza is a circle of radius *r* and center at the origin. Pizza consists of the main part — circle of radius *r*<=-<=*d* with center at the origin, and crust around the main part of the width *d*. Pieces of sausage are also circles. The radius of the *i* -th piece of the sausage is *r**i*, and the center is given as a pair (*x**i*, *y**i*).
Gleb asks you to help determine the number of pieces of sausage caught on the crust. A piece of sausage got on the crust, if it completely lies on the crust. | First string contains two integer numbers *r* and *d* (0<=≤<=*d*<=<<=*r*<=≤<=500) — the radius of pizza and the width of crust.
Next line contains one integer number *n* — the number of pieces of sausage (1<=≤<=*n*<=≤<=105).
Each of next *n* lines contains three integer numbers *x**i*, *y**i* and *r**i* (<=-<=500<=≤<=*x**i*,<=*y**i*<=≤<=500, 0<=≤<=*r**i*<=≤<=500), where *x**i* and *y**i* are coordinates of the center of *i*-th peace of sausage, *r**i* — radius of *i*-th peace of sausage. | Output the number of pieces of sausage that lay on the crust. | [
"8 4\n7\n7 8 1\n-7 3 2\n0 2 1\n0 -2 2\n-3 -3 1\n0 6 2\n5 3 1\n",
"10 8\n4\n0 0 9\n0 0 10\n1 0 1\n1 0 2\n"
] | [
"2\n",
"0\n"
] | Below is a picture explaining the first example. Circles of green color denote pieces of sausage lying on the crust. | 1,000 | [
{
"input": "8 4\n7\n7 8 1\n-7 3 2\n0 2 1\n0 -2 2\n-3 -3 1\n0 6 2\n5 3 1",
"output": "2"
},
{
"input": "10 8\n4\n0 0 9\n0 0 10\n1 0 1\n1 0 2",
"output": "0"
},
{
"input": "1 0\n1\n1 1 0",
"output": "0"
},
{
"input": "3 0\n5\n3 0 0\n0 3 0\n-3 0 0\n0 -3 0\n3 0 1",
"output": ... | 1,584,903,502 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 4 | 124 | 0 | r, d = map(int, input().split())
n = int(input())
ans = 0
for _ in range(n):
a, b, c = map(int, input().split())
if (a * a + b * b) ** 0.5 - c >= d and (a * a + b * b) ** 0.5 + c <= r:
ans += 1
print(ans)
| Title: Gleb And Pizza
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Gleb ordered pizza home. When the courier delivered the pizza, he was very upset, because several pieces of sausage lay on the crust, and he does not really like the crust.
The pizza is a circle of radius *r* and center at the origin. Pizza consists of the main part — circle of radius *r*<=-<=*d* with center at the origin, and crust around the main part of the width *d*. Pieces of sausage are also circles. The radius of the *i* -th piece of the sausage is *r**i*, and the center is given as a pair (*x**i*, *y**i*).
Gleb asks you to help determine the number of pieces of sausage caught on the crust. A piece of sausage got on the crust, if it completely lies on the crust.
Input Specification:
First string contains two integer numbers *r* and *d* (0<=≤<=*d*<=<<=*r*<=≤<=500) — the radius of pizza and the width of crust.
Next line contains one integer number *n* — the number of pieces of sausage (1<=≤<=*n*<=≤<=105).
Each of next *n* lines contains three integer numbers *x**i*, *y**i* and *r**i* (<=-<=500<=≤<=*x**i*,<=*y**i*<=≤<=500, 0<=≤<=*r**i*<=≤<=500), where *x**i* and *y**i* are coordinates of the center of *i*-th peace of sausage, *r**i* — radius of *i*-th peace of sausage.
Output Specification:
Output the number of pieces of sausage that lay on the crust.
Demo Input:
['8 4\n7\n7 8 1\n-7 3 2\n0 2 1\n0 -2 2\n-3 -3 1\n0 6 2\n5 3 1\n', '10 8\n4\n0 0 9\n0 0 10\n1 0 1\n1 0 2\n']
Demo Output:
['2\n', '0\n']
Note:
Below is a picture explaining the first example. Circles of green color denote pieces of sausage lying on the crust. | ```python
r, d = map(int, input().split())
n = int(input())
ans = 0
for _ in range(n):
a, b, c = map(int, input().split())
if (a * a + b * b) ** 0.5 - c >= d and (a * a + b * b) ** 0.5 + c <= r:
ans += 1
print(ans)
``` | 0 | |
675 | A | Infinite Sequence | PROGRAMMING | 1,100 | [
"math"
] | null | null | Vasya likes everything infinite. Now he is studying the properties of a sequence *s*, such that its first element is equal to *a* (*s*1<==<=*a*), and the difference between any two neighbouring elements is equal to *c* (*s**i*<=-<=*s**i*<=-<=1<==<=*c*). In particular, Vasya wonders if his favourite integer *b* appears in this sequence, that is, there exists a positive integer *i*, such that *s**i*<==<=*b*. Of course, you are the person he asks for a help. | The first line of the input contain three integers *a*, *b* and *c* (<=-<=109<=≤<=*a*,<=*b*,<=*c*<=≤<=109) — the first element of the sequence, Vasya's favorite number and the difference between any two neighbouring elements of the sequence, respectively. | If *b* appears in the sequence *s* print "YES" (without quotes), otherwise print "NO" (without quotes). | [
"1 7 3\n",
"10 10 0\n",
"1 -4 5\n",
"0 60 50\n"
] | [
"YES\n",
"YES\n",
"NO\n",
"NO\n"
] | In the first sample, the sequence starts from integers 1, 4, 7, so 7 is its element.
In the second sample, the favorite integer of Vasya is equal to the first element of the sequence.
In the third sample all elements of the sequence are greater than Vasya's favorite integer.
In the fourth sample, the sequence starts from 0, 50, 100, and all the following elements are greater than Vasya's favorite integer. | 500 | [
{
"input": "1 7 3",
"output": "YES"
},
{
"input": "10 10 0",
"output": "YES"
},
{
"input": "1 -4 5",
"output": "NO"
},
{
"input": "0 60 50",
"output": "NO"
},
{
"input": "1 -4 -5",
"output": "YES"
},
{
"input": "0 1 0",
"output": "NO"
},
{
... | 1,531,498,908 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 93 | 0 | def favourite_number(a, b, c):
if a - b == 0:
return "YES"
elif c == 0:
return "NO"
elif (a - b) % c != 0 and (a - b) * c < 0:
return "NO"
return "YES"
A, B, C = [int(i) for i in input().split()]
print(favourite_number(A, B, C))
| Title: Infinite Sequence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya likes everything infinite. Now he is studying the properties of a sequence *s*, such that its first element is equal to *a* (*s*1<==<=*a*), and the difference between any two neighbouring elements is equal to *c* (*s**i*<=-<=*s**i*<=-<=1<==<=*c*). In particular, Vasya wonders if his favourite integer *b* appears in this sequence, that is, there exists a positive integer *i*, such that *s**i*<==<=*b*. Of course, you are the person he asks for a help.
Input Specification:
The first line of the input contain three integers *a*, *b* and *c* (<=-<=109<=≤<=*a*,<=*b*,<=*c*<=≤<=109) — the first element of the sequence, Vasya's favorite number and the difference between any two neighbouring elements of the sequence, respectively.
Output Specification:
If *b* appears in the sequence *s* print "YES" (without quotes), otherwise print "NO" (without quotes).
Demo Input:
['1 7 3\n', '10 10 0\n', '1 -4 5\n', '0 60 50\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n', 'NO\n']
Note:
In the first sample, the sequence starts from integers 1, 4, 7, so 7 is its element.
In the second sample, the favorite integer of Vasya is equal to the first element of the sequence.
In the third sample all elements of the sequence are greater than Vasya's favorite integer.
In the fourth sample, the sequence starts from 0, 50, 100, and all the following elements are greater than Vasya's favorite integer. | ```python
def favourite_number(a, b, c):
if a - b == 0:
return "YES"
elif c == 0:
return "NO"
elif (a - b) % c != 0 and (a - b) * c < 0:
return "NO"
return "YES"
A, B, C = [int(i) for i in input().split()]
print(favourite_number(A, B, C))
``` | 0 | |
813 | E | Army Creation | PROGRAMMING | 2,200 | [
"binary search",
"data structures"
] | null | null | As you might remember from our previous rounds, Vova really likes computer games. Now he is playing a strategy game known as Rage of Empires.
In the game Vova can hire *n* different warriors; *i*th warrior has the type *a**i*. Vova wants to create a balanced army hiring some subset of warriors. An army is called balanced if for each type of warrior present in the game there are not more than *k* warriors of this type in the army. Of course, Vova wants his army to be as large as possible.
To make things more complicated, Vova has to consider *q* different plans of creating his army. *i*th plan allows him to hire only warriors whose numbers are not less than *l**i* and not greater than *r**i*.
Help Vova to determine the largest size of a balanced army for each plan.
Be aware that the plans are given in a modified way. See input section for details. | The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100000).
The second line contains *n* integers *a*1, *a*2, ... *a**n* (1<=≤<=*a**i*<=≤<=100000).
The third line contains one integer *q* (1<=≤<=*q*<=≤<=100000).
Then *q* lines follow. *i*th line contains two numbers *x**i* and *y**i* which represent *i*th plan (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*).
You have to keep track of the answer to the last plan (let's call it *last*). In the beginning *last*<==<=0. Then to restore values of *l**i* and *r**i* for the *i*th plan, you have to do the following:
1. *l**i*<==<=((*x**i*<=+<=*last*) *mod* *n*)<=+<=1; 1. *r**i*<==<=((*y**i*<=+<=*last*) *mod* *n*)<=+<=1; 1. If *l**i*<=><=*r**i*, swap *l**i* and *r**i*. | Print *q* numbers. *i*th number must be equal to the maximum size of a balanced army when considering *i*th plan. | [
"6 2\n1 1 1 2 2 2\n5\n1 6\n4 3\n1 1\n2 6\n2 6\n"
] | [
"2\n4\n1\n3\n2\n"
] | In the first example the real plans are:
1. 1 2 1. 1 6 1. 6 6 1. 2 4 1. 4 6 | 0 | [
{
"input": "6 2\n1 1 1 2 2 2\n5\n1 6\n4 3\n1 1\n2 6\n2 6",
"output": "2\n4\n1\n3\n2"
},
{
"input": "5 5\n3 4 4 2 1\n5\n5 5\n5 4\n5 4\n3 4\n5 5",
"output": "1\n2\n2\n2\n1"
},
{
"input": "5 5\n2 1 2 4 1\n5\n5 3\n1 1\n5 1\n2 1\n2 3",
"output": "4\n1\n2\n2\n5"
},
{
"input": "10 5... | 1,691,763,970 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | print("_RANDOM_GUESS_1691763970.7246501")# 1691763970.7246654 | Title: Army Creation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
As you might remember from our previous rounds, Vova really likes computer games. Now he is playing a strategy game known as Rage of Empires.
In the game Vova can hire *n* different warriors; *i*th warrior has the type *a**i*. Vova wants to create a balanced army hiring some subset of warriors. An army is called balanced if for each type of warrior present in the game there are not more than *k* warriors of this type in the army. Of course, Vova wants his army to be as large as possible.
To make things more complicated, Vova has to consider *q* different plans of creating his army. *i*th plan allows him to hire only warriors whose numbers are not less than *l**i* and not greater than *r**i*.
Help Vova to determine the largest size of a balanced army for each plan.
Be aware that the plans are given in a modified way. See input section for details.
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100000).
The second line contains *n* integers *a*1, *a*2, ... *a**n* (1<=≤<=*a**i*<=≤<=100000).
The third line contains one integer *q* (1<=≤<=*q*<=≤<=100000).
Then *q* lines follow. *i*th line contains two numbers *x**i* and *y**i* which represent *i*th plan (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*).
You have to keep track of the answer to the last plan (let's call it *last*). In the beginning *last*<==<=0. Then to restore values of *l**i* and *r**i* for the *i*th plan, you have to do the following:
1. *l**i*<==<=((*x**i*<=+<=*last*) *mod* *n*)<=+<=1; 1. *r**i*<==<=((*y**i*<=+<=*last*) *mod* *n*)<=+<=1; 1. If *l**i*<=><=*r**i*, swap *l**i* and *r**i*.
Output Specification:
Print *q* numbers. *i*th number must be equal to the maximum size of a balanced army when considering *i*th plan.
Demo Input:
['6 2\n1 1 1 2 2 2\n5\n1 6\n4 3\n1 1\n2 6\n2 6\n']
Demo Output:
['2\n4\n1\n3\n2\n']
Note:
In the first example the real plans are:
1. 1 2 1. 1 6 1. 6 6 1. 2 4 1. 4 6 | ```python
print("_RANDOM_GUESS_1691763970.7246501")# 1691763970.7246654
``` | 0 | |
681 | A | A Good Contest | PROGRAMMING | 800 | [
"implementation"
] | null | null | Codeforces user' handle color depends on his rating — it is red if his rating is greater or equal to 2400; it is orange if his rating is less than 2400 but greater or equal to 2200, etc. Each time participant takes part in a rated contest, his rating is changed depending on his performance.
Anton wants the color of his handle to become red. He considers his performance in the rated contest to be good if he outscored some participant, whose handle was colored red before the contest and his rating has increased after it.
Anton has written a program that analyses contest results and determines whether he performed good or not. Are you able to do the same? | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of participants Anton has outscored in this contest .
The next *n* lines describe participants results: the *i*-th of them consists of a participant handle *name**i* and two integers *before**i* and *after**i* (<=-<=4000<=≤<=*before**i*,<=*after**i*<=≤<=4000) — participant's rating before and after the contest, respectively. Each handle is a non-empty string, consisting of no more than 10 characters, which might be lowercase and uppercase English letters, digits, characters «_» and «-» characters.
It is guaranteed that all handles are distinct. | Print «YES» (quotes for clarity), if Anton has performed good in the contest and «NO» (quotes for clarity) otherwise. | [
"3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749\n",
"3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450\n"
] | [
"YES",
"NO"
] | In the first sample, Anton has outscored user with handle Burunduk1, whose handle was colored red before the contest and his rating has increased after the contest.
In the second sample, Applejack's rating has not increased after the contest, while both Fluttershy's and Pinkie_Pie's handles were not colored red before the contest. | 500 | [
{
"input": "3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749",
"output": "YES"
},
{
"input": "3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450",
"output": "NO"
},
{
"input": "1\nDb -3373 3591",
"output": "NO"
},
{
"input": "5\nQ2bz 960 2342... | 1,576,218,606 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | n=int(input())
i=0
k=0
while i<n:
A=input().split()
if int(A[1])>=2400 and int(A[1])<int(A[2]):
k=1
break
i+=1
if k==1:
print('YES')
else:
print('NO')
| Title: A Good Contest
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Codeforces user' handle color depends on his rating — it is red if his rating is greater or equal to 2400; it is orange if his rating is less than 2400 but greater or equal to 2200, etc. Each time participant takes part in a rated contest, his rating is changed depending on his performance.
Anton wants the color of his handle to become red. He considers his performance in the rated contest to be good if he outscored some participant, whose handle was colored red before the contest and his rating has increased after it.
Anton has written a program that analyses contest results and determines whether he performed good or not. Are you able to do the same?
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of participants Anton has outscored in this contest .
The next *n* lines describe participants results: the *i*-th of them consists of a participant handle *name**i* and two integers *before**i* and *after**i* (<=-<=4000<=≤<=*before**i*,<=*after**i*<=≤<=4000) — participant's rating before and after the contest, respectively. Each handle is a non-empty string, consisting of no more than 10 characters, which might be lowercase and uppercase English letters, digits, characters «_» and «-» characters.
It is guaranteed that all handles are distinct.
Output Specification:
Print «YES» (quotes for clarity), if Anton has performed good in the contest and «NO» (quotes for clarity) otherwise.
Demo Input:
['3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749\n', '3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450\n']
Demo Output:
['YES', 'NO']
Note:
In the first sample, Anton has outscored user with handle Burunduk1, whose handle was colored red before the contest and his rating has increased after the contest.
In the second sample, Applejack's rating has not increased after the contest, while both Fluttershy's and Pinkie_Pie's handles were not colored red before the contest. | ```python
n=int(input())
i=0
k=0
while i<n:
A=input().split()
if int(A[1])>=2400 and int(A[1])<int(A[2]):
k=1
break
i+=1
if k==1:
print('YES')
else:
print('NO')
``` | -1 | |
34 | B | Sale | PROGRAMMING | 900 | [
"greedy",
"sortings"
] | B. Sale | 2 | 256 | Once Bob got to a sale of old TV sets. There were *n* TV sets at that sale. TV set with index *i* costs *a**i* bellars. Some TV sets have a negative price — their owners are ready to pay Bob if he buys their useless apparatus. Bob can «buy» any TV sets he wants. Though he's very strong, Bob can carry at most *m* TV sets, and he has no desire to go to the sale for the second time. Please, help Bob find out the maximum sum of money that he can earn. | The first line contains two space-separated integers *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=100) — amount of TV sets at the sale, and amount of TV sets that Bob can carry. The following line contains *n* space-separated integers *a**i* (<=-<=1000<=≤<=*a**i*<=≤<=1000) — prices of the TV sets. | Output the only number — the maximum sum of money that Bob can earn, given that he can carry at most *m* TV sets. | [
"5 3\n-6 0 35 -2 4\n",
"4 2\n7 0 0 -7\n"
] | [
"8\n",
"7\n"
] | none | 1,000 | [
{
"input": "5 3\n-6 0 35 -2 4",
"output": "8"
},
{
"input": "4 2\n7 0 0 -7",
"output": "7"
},
{
"input": "6 6\n756 -611 251 -66 572 -818",
"output": "1495"
},
{
"input": "5 5\n976 437 937 788 518",
"output": "0"
},
{
"input": "5 3\n-2 -2 -2 -2 -2",
"output": "... | 1,687,679,840 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 92 | 0 | #F
n, m = [int(x) for x in input().split()]
total = int(0)
a = [int(x) for x in input().split()]
a.sort()
for i in range(m):
if (a[i]<=0):
total+=a[i]
else :
break
print(total*-1)
| Title: Sale
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Once Bob got to a sale of old TV sets. There were *n* TV sets at that sale. TV set with index *i* costs *a**i* bellars. Some TV sets have a negative price — their owners are ready to pay Bob if he buys their useless apparatus. Bob can «buy» any TV sets he wants. Though he's very strong, Bob can carry at most *m* TV sets, and he has no desire to go to the sale for the second time. Please, help Bob find out the maximum sum of money that he can earn.
Input Specification:
The first line contains two space-separated integers *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=100) — amount of TV sets at the sale, and amount of TV sets that Bob can carry. The following line contains *n* space-separated integers *a**i* (<=-<=1000<=≤<=*a**i*<=≤<=1000) — prices of the TV sets.
Output Specification:
Output the only number — the maximum sum of money that Bob can earn, given that he can carry at most *m* TV sets.
Demo Input:
['5 3\n-6 0 35 -2 4\n', '4 2\n7 0 0 -7\n']
Demo Output:
['8\n', '7\n']
Note:
none | ```python
#F
n, m = [int(x) for x in input().split()]
total = int(0)
a = [int(x) for x in input().split()]
a.sort()
for i in range(m):
if (a[i]<=0):
total+=a[i]
else :
break
print(total*-1)
``` | 3.977 |
1 | A | Theatre Square | PROGRAMMING | 1,000 | [
"math"
] | A. Theatre Square | 1 | 256 | Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square. | The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109). | Write the needed number of flagstones. | [
"6 6 4\n"
] | [
"4\n"
] | none | 0 | [
{
"input": "6 6 4",
"output": "4"
},
{
"input": "1 1 1",
"output": "1"
},
{
"input": "2 1 1",
"output": "2"
},
{
"input": "1 2 1",
"output": "2"
},
{
"input": "2 2 1",
"output": "4"
},
{
"input": "2 1 2",
"output": "1"
},
{
"input": "1 1 3"... | 1,695,700,468 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 20 | 62 | 0 | n, m, a = map(int, input().split())
width_stones = -(-n // a)
length_stones = -(-m // a)
total_stones = width_stones * length_stones
print(total_stones) | Title: Theatre Square
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Theatre Square in the capital city of Berland has a rectangular shape with the size *n*<=×<=*m* meters. On the occasion of the city's anniversary, a decision was taken to pave the Square with square granite flagstones. Each flagstone is of the size *a*<=×<=*a*.
What is the least number of flagstones needed to pave the Square? It's allowed to cover the surface larger than the Theatre Square, but the Square has to be covered. It's not allowed to break the flagstones. The sides of flagstones should be parallel to the sides of the Square.
Input Specification:
The input contains three positive integer numbers in the first line: *n*,<=<=*m* and *a* (1<=≤<=<=*n*,<=*m*,<=*a*<=≤<=109).
Output Specification:
Write the needed number of flagstones.
Demo Input:
['6 6 4\n']
Demo Output:
['4\n']
Note:
none | ```python
n, m, a = map(int, input().split())
width_stones = -(-n // a)
length_stones = -(-m // a)
total_stones = width_stones * length_stones
print(total_stones)
``` | 3.969 |
37 | A | Towers | PROGRAMMING | 1,000 | [
"sortings"
] | A. Towers | 2 | 256 | Little Vasya has received a young builder’s kit. The kit consists of several wooden bars, the lengths of all of them are known. The bars can be put one on the top of the other if their lengths are the same.
Vasya wants to construct the minimal number of towers from the bars. Help Vasya to use the bars in the best way possible. | The first line contains an integer *N* (1<=≤<=*N*<=≤<=1000) — the number of bars at Vasya’s disposal. The second line contains *N* space-separated integers *l**i* — the lengths of the bars. All the lengths are natural numbers not exceeding 1000. | In one line output two numbers — the height of the largest tower and their total number. Remember that Vasya should use all the bars. | [
"3\n1 2 3\n",
"4\n6 5 6 7\n"
] | [
"1 3\n",
"2 3\n"
] | none | 500 | [
{
"input": "3\n1 2 3",
"output": "1 3"
},
{
"input": "4\n6 5 6 7",
"output": "2 3"
},
{
"input": "4\n3 2 1 1",
"output": "2 3"
},
{
"input": "4\n1 2 3 3",
"output": "2 3"
},
{
"input": "3\n20 22 36",
"output": "1 3"
},
{
"input": "25\n47 30 94 41 45 20... | 1,592,203,350 | 2,147,483,647 | Python 3 | OK | TESTS | 61 | 374 | 307,200 | n=int(input())
lst=list(map(int,input().split(' ')))
lstc={}
for i in range(n):
if(lst[i] in lstc.keys()):
continue
else:
count=0
for j in range(n):
if(lst[i]==lst[j]):
count+=1
lstc[lst[i]]=count
height=max(lstc.values())
print(height,len(lstc.values())) | Title: Towers
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Little Vasya has received a young builder’s kit. The kit consists of several wooden bars, the lengths of all of them are known. The bars can be put one on the top of the other if their lengths are the same.
Vasya wants to construct the minimal number of towers from the bars. Help Vasya to use the bars in the best way possible.
Input Specification:
The first line contains an integer *N* (1<=≤<=*N*<=≤<=1000) — the number of bars at Vasya’s disposal. The second line contains *N* space-separated integers *l**i* — the lengths of the bars. All the lengths are natural numbers not exceeding 1000.
Output Specification:
In one line output two numbers — the height of the largest tower and their total number. Remember that Vasya should use all the bars.
Demo Input:
['3\n1 2 3\n', '4\n6 5 6 7\n']
Demo Output:
['1 3\n', '2 3\n']
Note:
none | ```python
n=int(input())
lst=list(map(int,input().split(' ')))
lstc={}
for i in range(n):
if(lst[i] in lstc.keys()):
continue
else:
count=0
for j in range(n):
if(lst[i]==lst[j]):
count+=1
lstc[lst[i]]=count
height=max(lstc.values())
print(height,len(lstc.values()))
``` | 3.905928 |
592 | A | PawnChess | PROGRAMMING | 1,200 | [
"implementation"
] | null | null | Galois is one of the strongest chess players of Byteforces. He has even invented a new variant of chess, which he named «PawnChess».
This new game is played on a board consisting of 8 rows and 8 columns. At the beginning of every game some black and white pawns are placed on the board. The number of black pawns placed is not necessarily equal to the number of white pawns placed.
Lets enumerate rows and columns with integers from 1 to 8. Rows are numbered from top to bottom, while columns are numbered from left to right. Now we denote as (*r*,<=*c*) the cell located at the row *r* and at the column *c*.
There are always two players A and B playing the game. Player A plays with white pawns, while player B plays with black ones. The goal of player A is to put any of his pawns to the row 1, while player B tries to put any of his pawns to the row 8. As soon as any of the players completes his goal the game finishes immediately and the succeeded player is declared a winner.
Player A moves first and then they alternate turns. On his move player A must choose exactly one white pawn and move it one step upward and player B (at his turn) must choose exactly one black pawn and move it one step down. Any move is possible only if the targeted cell is empty. It's guaranteed that for any scenario of the game there will always be at least one move available for any of the players.
Moving upward means that the pawn located in (*r*,<=*c*) will go to the cell (*r*<=-<=1,<=*c*), while moving down means the pawn located in (*r*,<=*c*) will go to the cell (*r*<=+<=1,<=*c*). Again, the corresponding cell must be empty, i.e. not occupied by any other pawn of any color.
Given the initial disposition of the board, determine who wins the game if both players play optimally. Note that there will always be a winner due to the restriction that for any game scenario both players will have some moves available. | The input consists of the board description given in eight lines, each line contains eight characters. Character 'B' is used to denote a black pawn, and character 'W' represents a white pawn. Empty cell is marked with '.'.
It's guaranteed that there will not be white pawns on the first row neither black pawns on the last row. | Print 'A' if player A wins the game on the given board, and 'B' if player B will claim the victory. Again, it's guaranteed that there will always be a winner on the given board. | [
"........\n........\n.B....B.\n....W...\n........\n..W.....\n........\n........\n",
"..B.....\n..W.....\n......B.\n........\n.....W..\n......B.\n........\n........\n"
] | [
"A\n",
"B\n"
] | In the first sample player A is able to complete his goal in 3 steps by always moving a pawn initially located at (4, 5). Player B needs at least 5 steps for any of his pawns to reach the row 8. Hence, player A will be the winner. | 500 | [
{
"input": ".BB.B.B.\nB..B..B.\n.B.BB...\nBB.....B\nBBB....B\nB..BB...\nBB.B...B\n....WWW.",
"output": "B"
},
{
"input": "B.B.BB.B\nW.WWW.WW\n.WWWWW.W\nW.BB.WBW\n.W..BBWB\nBB.WWBBB\n.W.W.WWB\nWWW..WW.",
"output": "A"
},
{
"input": "BB..BB..\nBW.W.W.B\n..B.....\n.....BB.\n.B..B..B\n......... | 1,489,420,890 | 2,147,483,647 | PyPy 3 | OK | TESTS | 56 | 109 | 23,142,400 | grid = []
for k in range(8):
grid.append(input())
bbc = [] #blocked black columns
bwc = [] #blocked white columns
#first processing : downwards
white = 8
for k in range(8):
for j in range(8):
if grid[k][j] == "B":
bbc.append(j)
if grid[k][j] == "W" and not j in bbc and white == 8:
white = k
black = 8
for k in range(7,-1,-1):
for j in range(8):
if grid[k][j] == "W":
bwc.append(j)
if grid[k][j] == "B" and not j in bwc and black == 8:
black = 7-k
if white <= black:
print("A")
else:
print("B")
| Title: PawnChess
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Galois is one of the strongest chess players of Byteforces. He has even invented a new variant of chess, which he named «PawnChess».
This new game is played on a board consisting of 8 rows and 8 columns. At the beginning of every game some black and white pawns are placed on the board. The number of black pawns placed is not necessarily equal to the number of white pawns placed.
Lets enumerate rows and columns with integers from 1 to 8. Rows are numbered from top to bottom, while columns are numbered from left to right. Now we denote as (*r*,<=*c*) the cell located at the row *r* and at the column *c*.
There are always two players A and B playing the game. Player A plays with white pawns, while player B plays with black ones. The goal of player A is to put any of his pawns to the row 1, while player B tries to put any of his pawns to the row 8. As soon as any of the players completes his goal the game finishes immediately and the succeeded player is declared a winner.
Player A moves first and then they alternate turns. On his move player A must choose exactly one white pawn and move it one step upward and player B (at his turn) must choose exactly one black pawn and move it one step down. Any move is possible only if the targeted cell is empty. It's guaranteed that for any scenario of the game there will always be at least one move available for any of the players.
Moving upward means that the pawn located in (*r*,<=*c*) will go to the cell (*r*<=-<=1,<=*c*), while moving down means the pawn located in (*r*,<=*c*) will go to the cell (*r*<=+<=1,<=*c*). Again, the corresponding cell must be empty, i.e. not occupied by any other pawn of any color.
Given the initial disposition of the board, determine who wins the game if both players play optimally. Note that there will always be a winner due to the restriction that for any game scenario both players will have some moves available.
Input Specification:
The input consists of the board description given in eight lines, each line contains eight characters. Character 'B' is used to denote a black pawn, and character 'W' represents a white pawn. Empty cell is marked with '.'.
It's guaranteed that there will not be white pawns on the first row neither black pawns on the last row.
Output Specification:
Print 'A' if player A wins the game on the given board, and 'B' if player B will claim the victory. Again, it's guaranteed that there will always be a winner on the given board.
Demo Input:
['........\n........\n.B....B.\n....W...\n........\n..W.....\n........\n........\n', '..B.....\n..W.....\n......B.\n........\n.....W..\n......B.\n........\n........\n']
Demo Output:
['A\n', 'B\n']
Note:
In the first sample player A is able to complete his goal in 3 steps by always moving a pawn initially located at (4, 5). Player B needs at least 5 steps for any of his pawns to reach the row 8. Hence, player A will be the winner. | ```python
grid = []
for k in range(8):
grid.append(input())
bbc = [] #blocked black columns
bwc = [] #blocked white columns
#first processing : downwards
white = 8
for k in range(8):
for j in range(8):
if grid[k][j] == "B":
bbc.append(j)
if grid[k][j] == "W" and not j in bbc and white == 8:
white = k
black = 8
for k in range(7,-1,-1):
for j in range(8):
if grid[k][j] == "W":
bwc.append(j)
if grid[k][j] == "B" and not j in bwc and black == 8:
black = 7-k
if white <= black:
print("A")
else:
print("B")
``` | 3 | |
432 | A | Choosing Teams | PROGRAMMING | 800 | [
"greedy",
"implementation",
"sortings"
] | null | null | The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has *n* students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times.
The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least *k* times? | The first line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=2000; 1<=≤<=*k*<=≤<=5). The next line contains *n* integers: *y*1,<=*y*2,<=...,<=*y**n* (0<=≤<=*y**i*<=≤<=5), where *y**i* shows the number of times the *i*-th person participated in the ACM ICPC world championship. | Print a single number — the answer to the problem. | [
"5 2\n0 4 5 1 0\n",
"6 4\n0 1 2 3 4 5\n",
"6 5\n0 0 0 0 0 0\n"
] | [
"1\n",
"0\n",
"2\n"
] | In the first sample only one team could be made: the first, the fourth and the fifth participants.
In the second sample no teams could be created.
In the third sample two teams could be created. Any partition into two teams fits. | 500 | [
{
"input": "5 2\n0 4 5 1 0",
"output": "1"
},
{
"input": "6 4\n0 1 2 3 4 5",
"output": "0"
},
{
"input": "6 5\n0 0 0 0 0 0",
"output": "2"
},
{
"input": "3 4\n0 1 0",
"output": "1"
},
{
"input": "3 4\n0 2 0",
"output": "0"
},
{
"input": "6 5\n0 0 0 0 0... | 1,658,973,787 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 35 | 62 | 1,843,200 | n,k = list(map(int,input().split()))
arr = list(map(int,input().split()))
for i in range(n):
arr[i] = (5-arr[i])-k
ans = 0
for i in range(n):
if arr[i] >=0:
ans += 1
print(ans//3)
| Title: Choosing Teams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Saratov State University Olympiad Programmers Training Center (SSU OPTC) has *n* students. For each student you know the number of times he/she has participated in the ACM ICPC world programming championship. According to the ACM ICPC rules, each person can participate in the world championship at most 5 times.
The head of the SSU OPTC is recently gathering teams to participate in the world championship. Each team must consist of exactly three people, at that, any person cannot be a member of two or more teams. What maximum number of teams can the head make if he wants each team to participate in the world championship with the same members at least *k* times?
Input Specification:
The first line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=2000; 1<=≤<=*k*<=≤<=5). The next line contains *n* integers: *y*1,<=*y*2,<=...,<=*y**n* (0<=≤<=*y**i*<=≤<=5), where *y**i* shows the number of times the *i*-th person participated in the ACM ICPC world championship.
Output Specification:
Print a single number — the answer to the problem.
Demo Input:
['5 2\n0 4 5 1 0\n', '6 4\n0 1 2 3 4 5\n', '6 5\n0 0 0 0 0 0\n']
Demo Output:
['1\n', '0\n', '2\n']
Note:
In the first sample only one team could be made: the first, the fourth and the fifth participants.
In the second sample no teams could be created.
In the third sample two teams could be created. Any partition into two teams fits. | ```python
n,k = list(map(int,input().split()))
arr = list(map(int,input().split()))
for i in range(n):
arr[i] = (5-arr[i])-k
ans = 0
for i in range(n):
if arr[i] >=0:
ans += 1
print(ans//3)
``` | 3 | |
837 | B | Flag of Berland | PROGRAMMING | 1,600 | [
"brute force",
"implementation"
] | null | null | The flag of Berland is such rectangular field *n*<=×<=*m* that satisfies following conditions:
- Flag consists of three colors which correspond to letters 'R', 'G' and 'B'. - Flag consists of three equal in width and height stripes, parralel to each other and to sides of the flag. Each stripe has exactly one color. - Each color should be used in exactly one stripe.
You are given a field *n*<=×<=*m*, consisting of characters 'R', 'G' and 'B'. Output "YES" (without quotes) if this field corresponds to correct flag of Berland. Otherwise, print "NO" (without quotes). | The first line contains two integer numbers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the sizes of the field.
Each of the following *n* lines consisting of *m* characters 'R', 'G' and 'B' — the description of the field. | Print "YES" (without quotes) if the given field corresponds to correct flag of Berland . Otherwise, print "NO" (without quotes). | [
"6 5\nRRRRR\nRRRRR\nBBBBB\nBBBBB\nGGGGG\nGGGGG\n",
"4 3\nBRG\nBRG\nBRG\nBRG\n",
"6 7\nRRRGGGG\nRRRGGGG\nRRRGGGG\nRRRBBBB\nRRRBBBB\nRRRBBBB\n",
"4 4\nRRRR\nRRRR\nBBBB\nGGGG\n"
] | [
"YES\n",
"YES\n",
"NO\n",
"NO\n"
] | The field in the third example doesn't have three parralel stripes.
Rows of the field in the fourth example are parralel to each other and to borders. But they have different heights — 2, 1 and 1. | 0 | [
{
"input": "6 5\nRRRRR\nRRRRR\nBBBBB\nBBBBB\nGGGGG\nGGGGG",
"output": "YES"
},
{
"input": "4 3\nBRG\nBRG\nBRG\nBRG",
"output": "YES"
},
{
"input": "6 7\nRRRGGGG\nRRRGGGG\nRRRGGGG\nRRRBBBB\nRRRBBBB\nRRRBBBB",
"output": "NO"
},
{
"input": "4 4\nRRRR\nRRRR\nBBBB\nGGGG",
"out... | 1,520,609,900 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 15 | 77 | 5,632,000 | # KALAM
n , m = map(int , input().split())
l = []
for i in range(n):
l.append([])
s = input()
for j in s:
l[i].append(j)
A = 'YES'
a = True;b = True
if(n % 3 != 0 and m % 3 != 0):A = 'NO'
if(n % 3 == 0):
s = l[0][0]
for i in range(n // 3):
for j in range(m):
if(l[i][j] != s):
a = False
s = l[n // 3][0]
for i in range(n // 3 , n // 3 * 2):
for j in range(m):
if(l[i][j] != s):
a = False
s = l[n // 3 * 2][0]
for i in range(n // 3 * 2 , n):
for j in range(m):
if(l[i][j] != s):
a = False
else :a = False
if(m % 3 == 0):
s = l[0][0]
for i in range(n):
for j in range(m // 3):
if(l[i][j] != s):
b = False
s = l[0][m // 3]
for i in range(n):
for j in range(m // 3 , m // 3 * 2):
if(l[i][j] != s):
b = False
s = l[0][m // 3 * 2]
for i in range(n):
for j in range(m // 3 * 2 , m):
if(l[i][j] != s):
b = False
else :b = False
if((not a) and (not b) ):
A = 'NO'
print(A)
| Title: Flag of Berland
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The flag of Berland is such rectangular field *n*<=×<=*m* that satisfies following conditions:
- Flag consists of three colors which correspond to letters 'R', 'G' and 'B'. - Flag consists of three equal in width and height stripes, parralel to each other and to sides of the flag. Each stripe has exactly one color. - Each color should be used in exactly one stripe.
You are given a field *n*<=×<=*m*, consisting of characters 'R', 'G' and 'B'. Output "YES" (without quotes) if this field corresponds to correct flag of Berland. Otherwise, print "NO" (without quotes).
Input Specification:
The first line contains two integer numbers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the sizes of the field.
Each of the following *n* lines consisting of *m* characters 'R', 'G' and 'B' — the description of the field.
Output Specification:
Print "YES" (without quotes) if the given field corresponds to correct flag of Berland . Otherwise, print "NO" (without quotes).
Demo Input:
['6 5\nRRRRR\nRRRRR\nBBBBB\nBBBBB\nGGGGG\nGGGGG\n', '4 3\nBRG\nBRG\nBRG\nBRG\n', '6 7\nRRRGGGG\nRRRGGGG\nRRRGGGG\nRRRBBBB\nRRRBBBB\nRRRBBBB\n', '4 4\nRRRR\nRRRR\nBBBB\nGGGG\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n', 'NO\n']
Note:
The field in the third example doesn't have three parralel stripes.
Rows of the field in the fourth example are parralel to each other and to borders. But they have different heights — 2, 1 and 1. | ```python
# KALAM
n , m = map(int , input().split())
l = []
for i in range(n):
l.append([])
s = input()
for j in s:
l[i].append(j)
A = 'YES'
a = True;b = True
if(n % 3 != 0 and m % 3 != 0):A = 'NO'
if(n % 3 == 0):
s = l[0][0]
for i in range(n // 3):
for j in range(m):
if(l[i][j] != s):
a = False
s = l[n // 3][0]
for i in range(n // 3 , n // 3 * 2):
for j in range(m):
if(l[i][j] != s):
a = False
s = l[n // 3 * 2][0]
for i in range(n // 3 * 2 , n):
for j in range(m):
if(l[i][j] != s):
a = False
else :a = False
if(m % 3 == 0):
s = l[0][0]
for i in range(n):
for j in range(m // 3):
if(l[i][j] != s):
b = False
s = l[0][m // 3]
for i in range(n):
for j in range(m // 3 , m // 3 * 2):
if(l[i][j] != s):
b = False
s = l[0][m // 3 * 2]
for i in range(n):
for j in range(m // 3 * 2 , m):
if(l[i][j] != s):
b = False
else :b = False
if((not a) and (not b) ):
A = 'NO'
print(A)
``` | 0 | |
1,009 | E | Intercity Travelling | PROGRAMMING | 2,000 | [
"combinatorics",
"math",
"probabilities"
] | null | null | Leha is planning his journey from Moscow to Saratov. He hates trains, so he has decided to get from one city to another by car.
The path from Moscow to Saratov can be represented as a straight line (well, it's not that straight in reality, but in this problem we will consider it to be straight), and the distance between Moscow and Saratov is $n$ km. Let's say that Moscow is situated at the point with coordinate $0$ km, and Saratov — at coordinate $n$ km.
Driving for a long time may be really difficult. Formally, if Leha has already covered $i$ kilometers since he stopped to have a rest, he considers the difficulty of covering $(i + 1)$-th kilometer as $a_{i + 1}$. It is guaranteed that for every $i \in [1, n - 1]$ $a_i \le a_{i + 1}$. The difficulty of the journey is denoted as the sum of difficulties of each kilometer in the journey.
Fortunately, there may be some rest sites between Moscow and Saratov. Every integer point from $1$ to $n - 1$ may contain a rest site. When Leha enters a rest site, he may have a rest, and the next kilometer will have difficulty $a_1$, the kilometer after it — difficulty $a_2$, and so on.
For example, if $n = 5$ and there is a rest site in coordinate $2$, the difficulty of journey will be $2a_1 + 2a_2 + a_3$: the first kilometer will have difficulty $a_1$, the second one — $a_2$, then Leha will have a rest, and the third kilometer will have difficulty $a_1$, the fourth — $a_2$, and the last one — $a_3$. Another example: if $n = 7$ and there are rest sites in coordinates $1$ and $5$, the difficulty of Leha's journey is $3a_1 + 2a_2 + a_3 + a_4$.
Leha doesn't know which integer points contain rest sites. So he has to consider every possible situation. Obviously, there are $2^{n - 1}$ different distributions of rest sites (two distributions are different if there exists some point $x$ such that it contains a rest site in exactly one of these distributions). Leha considers all these distributions to be equiprobable. He wants to calculate $p$ — the expected value of difficulty of his journey.
Obviously, $p \cdot 2^{n - 1}$ is an integer number. You have to calculate it modulo $998244353$. | The first line contains one number $n$ ($1 \le n \le 10^6$) — the distance from Moscow to Saratov.
The second line contains $n$ integer numbers $a_1$, $a_2$, ..., $a_n$ ($1 \le a_1 \le a_2 \le \dots \le a_n \le 10^6$), where $a_i$ is the difficulty of $i$-th kilometer after Leha has rested. | Print one number — $p \cdot 2^{n - 1}$, taken modulo $998244353$. | [
"2\n1 2\n",
"4\n1 3 3 7\n"
] | [
"5\n",
"60\n"
] | none | 0 | [
{
"input": "2\n1 2",
"output": "5"
},
{
"input": "4\n1 3 3 7",
"output": "60"
},
{
"input": "100\n3 3 3 4 7 8 8 8 9 9 10 12 12 13 14 14 15 15 16 17 17 20 21 21 22 22 23 25 29 31 36 37 37 38 39 40 41 41 41 42 43 44 45 46 46 47 47 49 49 49 51 52 52 53 54 55 59 59 59 60 62 63 63 64 66 69 70... | 1,531,822,689 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 93 | 0 | #/user/bin/python
if __name__ == '__main__':
sum = 0
_n = input()
_s = input()
s = _s.split(' ')
n = int(_n)
taxi = 0
group3 = 0
group2 = 0
group1 = 0
for i in range(0, n):
if int(s[i]) == 4:
taxi += 1
elif int(s[i]) == 3:
group3 += 1
elif int(s[i]) == 2:
group2 += 1
elif int(s[i]) == 1:
group1 += 1
print()
if group2 >= 2:
taxi += group2/2
if group2%2 != 0:
group2 = 1
else:
group2 = 0
if group3 <= group1:
taxi += group3
group1 -= group3
elif group3 > group1:
taxi += group3
if group1 >= 4:
if group1%4 == 0:
taxi += group1/4
if (group2 > 0) or (group1 == 2) or (group1 == 1):
taxi += group2
group1 -= group2*2
if group1 > 0:
taxi += 1
print(int(taxi)) | Title: Intercity Travelling
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Leha is planning his journey from Moscow to Saratov. He hates trains, so he has decided to get from one city to another by car.
The path from Moscow to Saratov can be represented as a straight line (well, it's not that straight in reality, but in this problem we will consider it to be straight), and the distance between Moscow and Saratov is $n$ km. Let's say that Moscow is situated at the point with coordinate $0$ km, and Saratov — at coordinate $n$ km.
Driving for a long time may be really difficult. Formally, if Leha has already covered $i$ kilometers since he stopped to have a rest, he considers the difficulty of covering $(i + 1)$-th kilometer as $a_{i + 1}$. It is guaranteed that for every $i \in [1, n - 1]$ $a_i \le a_{i + 1}$. The difficulty of the journey is denoted as the sum of difficulties of each kilometer in the journey.
Fortunately, there may be some rest sites between Moscow and Saratov. Every integer point from $1$ to $n - 1$ may contain a rest site. When Leha enters a rest site, he may have a rest, and the next kilometer will have difficulty $a_1$, the kilometer after it — difficulty $a_2$, and so on.
For example, if $n = 5$ and there is a rest site in coordinate $2$, the difficulty of journey will be $2a_1 + 2a_2 + a_3$: the first kilometer will have difficulty $a_1$, the second one — $a_2$, then Leha will have a rest, and the third kilometer will have difficulty $a_1$, the fourth — $a_2$, and the last one — $a_3$. Another example: if $n = 7$ and there are rest sites in coordinates $1$ and $5$, the difficulty of Leha's journey is $3a_1 + 2a_2 + a_3 + a_4$.
Leha doesn't know which integer points contain rest sites. So he has to consider every possible situation. Obviously, there are $2^{n - 1}$ different distributions of rest sites (two distributions are different if there exists some point $x$ such that it contains a rest site in exactly one of these distributions). Leha considers all these distributions to be equiprobable. He wants to calculate $p$ — the expected value of difficulty of his journey.
Obviously, $p \cdot 2^{n - 1}$ is an integer number. You have to calculate it modulo $998244353$.
Input Specification:
The first line contains one number $n$ ($1 \le n \le 10^6$) — the distance from Moscow to Saratov.
The second line contains $n$ integer numbers $a_1$, $a_2$, ..., $a_n$ ($1 \le a_1 \le a_2 \le \dots \le a_n \le 10^6$), where $a_i$ is the difficulty of $i$-th kilometer after Leha has rested.
Output Specification:
Print one number — $p \cdot 2^{n - 1}$, taken modulo $998244353$.
Demo Input:
['2\n1 2\n', '4\n1 3 3 7\n']
Demo Output:
['5\n', '60\n']
Note:
none | ```python
#/user/bin/python
if __name__ == '__main__':
sum = 0
_n = input()
_s = input()
s = _s.split(' ')
n = int(_n)
taxi = 0
group3 = 0
group2 = 0
group1 = 0
for i in range(0, n):
if int(s[i]) == 4:
taxi += 1
elif int(s[i]) == 3:
group3 += 1
elif int(s[i]) == 2:
group2 += 1
elif int(s[i]) == 1:
group1 += 1
print()
if group2 >= 2:
taxi += group2/2
if group2%2 != 0:
group2 = 1
else:
group2 = 0
if group3 <= group1:
taxi += group3
group1 -= group3
elif group3 > group1:
taxi += group3
if group1 >= 4:
if group1%4 == 0:
taxi += group1/4
if (group2 > 0) or (group1 == 2) or (group1 == 1):
taxi += group2
group1 -= group2*2
if group1 > 0:
taxi += 1
print(int(taxi))
``` | 0 | |
960 | C | Subsequence Counting | PROGRAMMING | 1,700 | [
"bitmasks",
"constructive algorithms",
"greedy",
"implementation"
] | null | null | Pikachu had an array with him. He wrote down all the non-empty subsequences of the array on paper. Note that an array of size *n* has 2*n*<=-<=1 non-empty subsequences in it.
Pikachu being mischievous as he always is, removed all the subsequences in which Maximum_element_of_the_subsequence <=-<= Minimum_element_of_subsequence <=≥<=*d*
Pikachu was finally left with *X* subsequences.
However, he lost the initial array he had, and now is in serious trouble. He still remembers the numbers *X* and *d*. He now wants you to construct any such array which will satisfy the above conditions. All the numbers in the final array should be positive integers less than 1018.
Note the number of elements in the output array should not be more than 104. If no answer is possible, print <=-<=1. | The only line of input consists of two space separated integers *X* and *d* (1<=≤<=*X*,<=*d*<=≤<=109). | Output should consist of two lines.
First line should contain a single integer *n* (1<=≤<=*n*<=≤<=10<=000)— the number of integers in the final array.
Second line should consist of *n* space separated integers — *a*1,<=*a*2,<=... ,<=*a**n* (1<=≤<=*a**i*<=<<=1018).
If there is no answer, print a single integer -1. If there are multiple answers, print any of them. | [
"10 5\n",
"4 2\n"
] | [
"6\n5 50 7 15 6 100",
"4\n10 100 1000 10000"
] | In the output of the first example case, the remaining subsequences after removing those with Maximum_element_of_the_subsequence - Minimum_element_of_subsequence ≥ 5 are [5], [5, 7], [5, 6], [5, 7, 6], [50], [7], [7, 6], [15], [6], [100]. There are 10 of them. Hence, the array [5, 50, 7, 15, 6, 100] is valid.
Similarly, in the output of the second example case, the remaining sub-sequences after removing those with Maximum_element_of_the_subsequence - Minimum_element_of_subsequence ≥ 2 are [10], [100], [1000], [10000]. There are 4 of them. Hence, the array [10, 100, 1000, 10000] is valid. | 1,500 | [
{
"input": "10 5",
"output": "6\n1 1 1 7 13 19 "
},
{
"input": "4 2",
"output": "3\n1 1 4 "
},
{
"input": "4 1",
"output": "3\n1 1 3 "
},
{
"input": "1 1",
"output": "1\n1 "
},
{
"input": "63 1",
"output": "21\n1 1 1 1 1 3 3 3 3 5 5 5 7 7 9 11 13 15 17 19 21 "... | 1,535,370,987 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 14 | 1,000 | 102,400 | n,d=map(int,input().split())
print(n)
s=1
for i in range(n):
print(s,end=' ')
s+=d+1
| Title: Subsequence Counting
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pikachu had an array with him. He wrote down all the non-empty subsequences of the array on paper. Note that an array of size *n* has 2*n*<=-<=1 non-empty subsequences in it.
Pikachu being mischievous as he always is, removed all the subsequences in which Maximum_element_of_the_subsequence <=-<= Minimum_element_of_subsequence <=≥<=*d*
Pikachu was finally left with *X* subsequences.
However, he lost the initial array he had, and now is in serious trouble. He still remembers the numbers *X* and *d*. He now wants you to construct any such array which will satisfy the above conditions. All the numbers in the final array should be positive integers less than 1018.
Note the number of elements in the output array should not be more than 104. If no answer is possible, print <=-<=1.
Input Specification:
The only line of input consists of two space separated integers *X* and *d* (1<=≤<=*X*,<=*d*<=≤<=109).
Output Specification:
Output should consist of two lines.
First line should contain a single integer *n* (1<=≤<=*n*<=≤<=10<=000)— the number of integers in the final array.
Second line should consist of *n* space separated integers — *a*1,<=*a*2,<=... ,<=*a**n* (1<=≤<=*a**i*<=<<=1018).
If there is no answer, print a single integer -1. If there are multiple answers, print any of them.
Demo Input:
['10 5\n', '4 2\n']
Demo Output:
['6\n5 50 7 15 6 100', '4\n10 100 1000 10000']
Note:
In the output of the first example case, the remaining subsequences after removing those with Maximum_element_of_the_subsequence - Minimum_element_of_subsequence ≥ 5 are [5], [5, 7], [5, 6], [5, 7, 6], [50], [7], [7, 6], [15], [6], [100]. There are 10 of them. Hence, the array [5, 50, 7, 15, 6, 100] is valid.
Similarly, in the output of the second example case, the remaining sub-sequences after removing those with Maximum_element_of_the_subsequence - Minimum_element_of_subsequence ≥ 2 are [10], [100], [1000], [10000]. There are 4 of them. Hence, the array [10, 100, 1000, 10000] is valid. | ```python
n,d=map(int,input().split())
print(n)
s=1
for i in range(n):
print(s,end=' ')
s+=d+1
``` | 0 | |
886 | B | Vlad and Cafes | PROGRAMMING | 1,000 | [] | null | null | Vlad likes to eat in cafes very much. During his life, he has visited cafes *n* times. Unfortunately, Vlad started to feel that his last visits are not any different from each other. To fix that Vlad had a small research.
First of all, Vlad assigned individual indices to all cafes. Then, he wrote down indices of cafes he visited in a row, in order of visiting them. Now, Vlad wants to find such a cafe that his last visit to that cafe was before his last visits to every other cafe. In other words, he wants to find such a cafe that he hasn't been there for as long as possible. Help Vlad to find that cafe. | In first line there is one integer *n* (1<=≤<=*n*<=≤<=2·105) — number of cafes indices written by Vlad.
In second line, *n* numbers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=2·105) are written — indices of cafes in order of being visited by Vlad. Vlad could visit some cafes more than once. Note that in numeration, some indices could be omitted. | Print one integer — index of the cafe that Vlad hasn't visited for as long as possible. | [
"5\n1 3 2 1 2\n",
"6\n2 1 2 2 4 1\n"
] | [
"3\n",
"2\n"
] | In first test, there are three cafes, and the last visits to cafes with indices 1 and 2 were after the last visit to cafe with index 3; so this cafe is the answer.
In second test case, there are also three cafes, but with indices 1, 2 and 4. Cafes with indices 1 and 4 were visited after the last visit of cafe with index 2, so the answer is 2. Note that Vlad could omit some numbers while numerating the cafes. | 1,000 | [
{
"input": "5\n1 3 2 1 2",
"output": "3"
},
{
"input": "6\n2 1 2 2 4 1",
"output": "2"
},
{
"input": "1\n0",
"output": "0"
},
{
"input": "1\n200000",
"output": "200000"
},
{
"input": "2\n2018 2017",
"output": "2018"
},
{
"input": "5\n100 1000 1000 1000... | 1,510,511,594 | 8,894 | Python 3 | RUNTIME_ERROR | PRETESTS | 0 | 46 | 0 | n = int(input())
cafes = [int(x) for x in input().split()]
for i in range(n-1):
e =cafes[i]
for j in range(i,n):
if cafes[i] == cafes[j]:
e = cafes[j+1]
print(e) | Title: Vlad and Cafes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vlad likes to eat in cafes very much. During his life, he has visited cafes *n* times. Unfortunately, Vlad started to feel that his last visits are not any different from each other. To fix that Vlad had a small research.
First of all, Vlad assigned individual indices to all cafes. Then, he wrote down indices of cafes he visited in a row, in order of visiting them. Now, Vlad wants to find such a cafe that his last visit to that cafe was before his last visits to every other cafe. In other words, he wants to find such a cafe that he hasn't been there for as long as possible. Help Vlad to find that cafe.
Input Specification:
In first line there is one integer *n* (1<=≤<=*n*<=≤<=2·105) — number of cafes indices written by Vlad.
In second line, *n* numbers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=2·105) are written — indices of cafes in order of being visited by Vlad. Vlad could visit some cafes more than once. Note that in numeration, some indices could be omitted.
Output Specification:
Print one integer — index of the cafe that Vlad hasn't visited for as long as possible.
Demo Input:
['5\n1 3 2 1 2\n', '6\n2 1 2 2 4 1\n']
Demo Output:
['3\n', '2\n']
Note:
In first test, there are three cafes, and the last visits to cafes with indices 1 and 2 were after the last visit to cafe with index 3; so this cafe is the answer.
In second test case, there are also three cafes, but with indices 1, 2 and 4. Cafes with indices 1 and 4 were visited after the last visit of cafe with index 2, so the answer is 2. Note that Vlad could omit some numbers while numerating the cafes. | ```python
n = int(input())
cafes = [int(x) for x in input().split()]
for i in range(n-1):
e =cafes[i]
for j in range(i,n):
if cafes[i] == cafes[j]:
e = cafes[j+1]
print(e)
``` | -1 | |
61 | A | Ultra-Fast Mathematician | PROGRAMMING | 800 | [
"implementation"
] | A. Ultra-Fast Mathematician | 2 | 256 | Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate. | There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100. | Write one line — the corresponding answer. Do not omit the leading 0s. | [
"1010100\n0100101\n",
"000\n111\n",
"1110\n1010\n",
"01110\n01100\n"
] | [
"1110001\n",
"111\n",
"0100\n",
"00010\n"
] | none | 500 | [
{
"input": "1010100\n0100101",
"output": "1110001"
},
{
"input": "000\n111",
"output": "111"
},
{
"input": "1110\n1010",
"output": "0100"
},
{
"input": "01110\n01100",
"output": "00010"
},
{
"input": "011101\n000001",
"output": "011100"
},
{
"input": "... | 1,643,549,762 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 3 | 46 | 0 | a = int(input())
b = int(input())
d = int(str(a), 2)
e = int(str(b), 2)
c = d ^ e
e = bin(c)[2:]
print(("0"*(len(str(a))-len(e))+e))
| Title: Ultra-Fast Mathematician
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate.
Input Specification:
There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100.
Output Specification:
Write one line — the corresponding answer. Do not omit the leading 0s.
Demo Input:
['1010100\n0100101\n', '000\n111\n', '1110\n1010\n', '01110\n01100\n']
Demo Output:
['1110001\n', '111\n', '0100\n', '00010\n']
Note:
none | ```python
a = int(input())
b = int(input())
d = int(str(a), 2)
e = int(str(b), 2)
c = d ^ e
e = bin(c)[2:]
print(("0"*(len(str(a))-len(e))+e))
``` | 0 |
1,011 | A | Stages | PROGRAMMING | 900 | [
"greedy",
"implementation",
"sortings"
] | null | null | Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once. | The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once. | Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all. | [
"5 3\nxyabd\n",
"7 4\nproblem\n",
"2 2\nab\n",
"12 1\nabaabbaaabbb\n"
] | [
"29",
"34",
"-1",
"1"
] | In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | 500 | [
{
"input": "5 3\nxyabd",
"output": "29"
},
{
"input": "7 4\nproblem",
"output": "34"
},
{
"input": "2 2\nab",
"output": "-1"
},
{
"input": "12 1\nabaabbaaabbb",
"output": "1"
},
{
"input": "50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa",
"output": ... | 1,584,113,695 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 4 | 108 | 307,200 | def mi():
return map(int, input().split())
n,k = mi()
s = list(input())
s.sort()
for i in range(n):
s[i] = ord(s[i])-ord('a')+1
ans = s[0]
k-=1
for i in range(1,n):
if not k:
break
if s[i]-s[i-1]>1:
ans+=s[i]
k-=1
if k:
print (-1)
else:
print(ans)
| Title: Stages
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input Specification:
The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output Specification:
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Demo Input:
['5 3\nxyabd\n', '7 4\nproblem\n', '2 2\nab\n', '12 1\nabaabbaaabbb\n']
Demo Output:
['29', '34', '-1', '1']
Note:
In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | ```python
def mi():
return map(int, input().split())
n,k = mi()
s = list(input())
s.sort()
for i in range(n):
s[i] = ord(s[i])-ord('a')+1
ans = s[0]
k-=1
for i in range(1,n):
if not k:
break
if s[i]-s[i-1]>1:
ans+=s[i]
k-=1
if k:
print (-1)
else:
print(ans)
``` | 0 | |
721 | C | Journey | PROGRAMMING | 1,800 | [
"dp",
"graphs"
] | null | null | Recently Irina arrived to one of the most famous cities of Berland — the Berlatov city. There are *n* showplaces in the city, numbered from 1 to *n*, and some of them are connected by one-directional roads. The roads in Berlatov are designed in a way such that there are no cyclic routes between showplaces.
Initially Irina stands at the showplace 1, and the endpoint of her journey is the showplace *n*. Naturally, Irina wants to visit as much showplaces as she can during her journey. However, Irina's stay in Berlatov is limited and she can't be there for more than *T* time units.
Help Irina determine how many showplaces she may visit during her journey from showplace 1 to showplace *n* within a time not exceeding *T*. It is guaranteed that there is at least one route from showplace 1 to showplace *n* such that Irina will spend no more than *T* time units passing it. | The first line of the input contains three integers *n*,<=*m* and *T* (2<=≤<=*n*<=≤<=5000,<=<=1<=≤<=*m*<=≤<=5000,<=<=1<=≤<=*T*<=≤<=109) — the number of showplaces, the number of roads between them and the time of Irina's stay in Berlatov respectively.
The next *m* lines describes roads in Berlatov. *i*-th of them contains 3 integers *u**i*,<=*v**i*,<=*t**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*,<=*u**i*<=≠<=*v**i*,<=1<=≤<=*t**i*<=≤<=109), meaning that there is a road starting from showplace *u**i* and leading to showplace *v**i*, and Irina spends *t**i* time units to pass it. It is guaranteed that the roads do not form cyclic routes.
It is guaranteed, that there is at most one road between each pair of showplaces. | Print the single integer *k* (2<=≤<=*k*<=≤<=*n*) — the maximum number of showplaces that Irina can visit during her journey from showplace 1 to showplace *n* within time not exceeding *T*, in the first line.
Print *k* distinct integers in the second line — indices of showplaces that Irina will visit on her route, in the order of encountering them.
If there are multiple answers, print any of them. | [
"4 3 13\n1 2 5\n2 3 7\n2 4 8\n",
"6 6 7\n1 2 2\n1 3 3\n3 6 3\n2 4 2\n4 6 2\n6 5 1\n",
"5 5 6\n1 3 3\n3 5 3\n1 2 2\n2 4 3\n4 5 2\n"
] | [
"3\n1 2 4 \n",
"4\n1 2 4 6 \n",
"3\n1 3 5 \n"
] | none | 1,500 | [
{
"input": "4 3 13\n1 2 5\n2 3 7\n2 4 8",
"output": "3\n1 2 4 "
},
{
"input": "6 6 7\n1 2 2\n1 3 3\n3 6 3\n2 4 2\n4 6 2\n6 5 1",
"output": "4\n1 2 4 6 "
},
{
"input": "5 5 6\n1 3 3\n3 5 3\n1 2 2\n2 4 3\n4 5 2",
"output": "3\n1 3 5 "
},
{
"input": "10 10 100\n1 4 1\n6 4 1\n9 3... | 1,616,490,453 | 2,147,483,647 | PyPy 3 | TIME_LIMIT_EXCEEDED | TESTS | 7 | 3,000 | 103,628,800 | from sys import stdout
from sys import stdin
def get():
return stdin.readline().strip()
def getf():
return [int(i) for i in get().split()]
def put(a, end = "\n"):
stdout.write(str(a) + end)
def putf(a, sep = " ", end = "\n"):
stdout.write(sep.join([str(i) for i in a]) + end)
#from collections import defaultdict as dd
def bruh():
n, m, t = getf()
g = [[] for i in range(n + 1)]
for i in range(m):
v, u, ti = getf()
g[v].append([u, ti])
#g[u].append([v, ti])
inf = 10 ** 18 + 7
a = [[inf] * (n + 1) for i in range(n + 1)]
a[1][0] = 0
ans = 0
par = dict()
for k in range(1, n + 1):
for i in range(1, n + 1):
for e in g[i]:
if(a[e[0]][k] > a[i][k - 1] + e[1]):
a[e[0]][k] = a[i][k - 1] + e[1]
par[e[0], k] = i
res = 0
for j in range(1, n + 1):
if(a[n][j] <= t):
res = j
put(res + 1)
ans = [n]
cur = n
#print(res, par)
while(cur != 1):
ans.append(par[cur, res])
cur = par[cur, res]
res -= 1
#for i in a:
# putf(i)
putf(ans[ :: -1])
bruh()
| Title: Journey
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently Irina arrived to one of the most famous cities of Berland — the Berlatov city. There are *n* showplaces in the city, numbered from 1 to *n*, and some of them are connected by one-directional roads. The roads in Berlatov are designed in a way such that there are no cyclic routes between showplaces.
Initially Irina stands at the showplace 1, and the endpoint of her journey is the showplace *n*. Naturally, Irina wants to visit as much showplaces as she can during her journey. However, Irina's stay in Berlatov is limited and she can't be there for more than *T* time units.
Help Irina determine how many showplaces she may visit during her journey from showplace 1 to showplace *n* within a time not exceeding *T*. It is guaranteed that there is at least one route from showplace 1 to showplace *n* such that Irina will spend no more than *T* time units passing it.
Input Specification:
The first line of the input contains three integers *n*,<=*m* and *T* (2<=≤<=*n*<=≤<=5000,<=<=1<=≤<=*m*<=≤<=5000,<=<=1<=≤<=*T*<=≤<=109) — the number of showplaces, the number of roads between them and the time of Irina's stay in Berlatov respectively.
The next *m* lines describes roads in Berlatov. *i*-th of them contains 3 integers *u**i*,<=*v**i*,<=*t**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*,<=*u**i*<=≠<=*v**i*,<=1<=≤<=*t**i*<=≤<=109), meaning that there is a road starting from showplace *u**i* and leading to showplace *v**i*, and Irina spends *t**i* time units to pass it. It is guaranteed that the roads do not form cyclic routes.
It is guaranteed, that there is at most one road between each pair of showplaces.
Output Specification:
Print the single integer *k* (2<=≤<=*k*<=≤<=*n*) — the maximum number of showplaces that Irina can visit during her journey from showplace 1 to showplace *n* within time not exceeding *T*, in the first line.
Print *k* distinct integers in the second line — indices of showplaces that Irina will visit on her route, in the order of encountering them.
If there are multiple answers, print any of them.
Demo Input:
['4 3 13\n1 2 5\n2 3 7\n2 4 8\n', '6 6 7\n1 2 2\n1 3 3\n3 6 3\n2 4 2\n4 6 2\n6 5 1\n', '5 5 6\n1 3 3\n3 5 3\n1 2 2\n2 4 3\n4 5 2\n']
Demo Output:
['3\n1 2 4 \n', '4\n1 2 4 6 \n', '3\n1 3 5 \n']
Note:
none | ```python
from sys import stdout
from sys import stdin
def get():
return stdin.readline().strip()
def getf():
return [int(i) for i in get().split()]
def put(a, end = "\n"):
stdout.write(str(a) + end)
def putf(a, sep = " ", end = "\n"):
stdout.write(sep.join([str(i) for i in a]) + end)
#from collections import defaultdict as dd
def bruh():
n, m, t = getf()
g = [[] for i in range(n + 1)]
for i in range(m):
v, u, ti = getf()
g[v].append([u, ti])
#g[u].append([v, ti])
inf = 10 ** 18 + 7
a = [[inf] * (n + 1) for i in range(n + 1)]
a[1][0] = 0
ans = 0
par = dict()
for k in range(1, n + 1):
for i in range(1, n + 1):
for e in g[i]:
if(a[e[0]][k] > a[i][k - 1] + e[1]):
a[e[0]][k] = a[i][k - 1] + e[1]
par[e[0], k] = i
res = 0
for j in range(1, n + 1):
if(a[n][j] <= t):
res = j
put(res + 1)
ans = [n]
cur = n
#print(res, par)
while(cur != 1):
ans.append(par[cur, res])
cur = par[cur, res]
res -= 1
#for i in a:
# putf(i)
putf(ans[ :: -1])
bruh()
``` | 0 | |
964 | A | Splits | PROGRAMMING | 800 | [
"math"
] | null | null | Let's define a split of $n$ as a nonincreasing sequence of positive integers, the sum of which is $n$.
For example, the following sequences are splits of $8$: $[4, 4]$, $[3, 3, 2]$, $[2, 2, 1, 1, 1, 1]$, $[5, 2, 1]$.
The following sequences aren't splits of $8$: $[1, 7]$, $[5, 4]$, $[11, -3]$, $[1, 1, 4, 1, 1]$.
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split $[1, 1, 1, 1, 1]$ is $5$, the weight of the split $[5, 5, 3, 3, 3]$ is $2$ and the weight of the split $[9]$ equals $1$.
For a given $n$, find out the number of different weights of its splits. | The first line contains one integer $n$ ($1 \leq n \leq 10^9$). | Output one integer — the answer to the problem. | [
"7\n",
"8\n",
"9\n"
] | [
"4\n",
"5\n",
"5\n"
] | In the first sample, there are following possible weights of splits of $7$:
Weight 1: [$\textbf 7$]
Weight 2: [$\textbf 3$, $\textbf 3$, 1]
Weight 3: [$\textbf 2$, $\textbf 2$, $\textbf 2$, 1]
Weight 7: [$\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$] | 500 | [
{
"input": "7",
"output": "4"
},
{
"input": "8",
"output": "5"
},
{
"input": "9",
"output": "5"
},
{
"input": "1",
"output": "1"
},
{
"input": "286",
"output": "144"
},
{
"input": "48",
"output": "25"
},
{
"input": "941",
"output": "471... | 1,523,974,159 | 259 | Python 3 | COMPILATION_ERROR | PRETESTS | 0 | 0 | 0 | #include <bits/stdc++.h>
using namespace std;
#define ll long long
int main() {
int n ;
cin >> n ;
ll x = n/2 + 1 ;
cout<<x;
return 0;
} | Title: Splits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Let's define a split of $n$ as a nonincreasing sequence of positive integers, the sum of which is $n$.
For example, the following sequences are splits of $8$: $[4, 4]$, $[3, 3, 2]$, $[2, 2, 1, 1, 1, 1]$, $[5, 2, 1]$.
The following sequences aren't splits of $8$: $[1, 7]$, $[5, 4]$, $[11, -3]$, $[1, 1, 4, 1, 1]$.
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split $[1, 1, 1, 1, 1]$ is $5$, the weight of the split $[5, 5, 3, 3, 3]$ is $2$ and the weight of the split $[9]$ equals $1$.
For a given $n$, find out the number of different weights of its splits.
Input Specification:
The first line contains one integer $n$ ($1 \leq n \leq 10^9$).
Output Specification:
Output one integer — the answer to the problem.
Demo Input:
['7\n', '8\n', '9\n']
Demo Output:
['4\n', '5\n', '5\n']
Note:
In the first sample, there are following possible weights of splits of $7$:
Weight 1: [$\textbf 7$]
Weight 2: [$\textbf 3$, $\textbf 3$, 1]
Weight 3: [$\textbf 2$, $\textbf 2$, $\textbf 2$, 1]
Weight 7: [$\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$] | ```python
#include <bits/stdc++.h>
using namespace std;
#define ll long long
int main() {
int n ;
cin >> n ;
ll x = n/2 + 1 ;
cout<<x;
return 0;
}
``` | -1 | |
595 | A | Vitaly and Night | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | One day Vitaly was going home late at night and wondering: how many people aren't sleeping at that moment? To estimate, Vitaly decided to look which windows are lit in the house he was passing by at that moment.
Vitaly sees a building of *n* floors and 2·*m* windows on each floor. On each floor there are *m* flats numbered from 1 to *m*, and two consecutive windows correspond to each flat. If we number the windows from 1 to 2·*m* from left to right, then the *j*-th flat of the *i*-th floor has windows 2·*j*<=-<=1 and 2·*j* in the corresponding row of windows (as usual, floors are enumerated from the bottom). Vitaly thinks that people in the flat aren't sleeping at that moment if at least one of the windows corresponding to this flat has lights on.
Given the information about the windows of the given house, your task is to calculate the number of flats where, according to Vitaly, people aren't sleeping. | The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of floors in the house and the number of flats on each floor respectively.
Next *n* lines describe the floors from top to bottom and contain 2·*m* characters each. If the *i*-th window of the given floor has lights on, then the *i*-th character of this line is '1', otherwise it is '0'. | Print a single integer — the number of flats that have lights on in at least one window, that is, the flats where, according to Vitaly, people aren't sleeping. | [
"2 2\n0 0 0 1\n1 0 1 1\n",
"1 3\n1 1 0 1 0 0\n"
] | [
"3\n",
"2\n"
] | In the first test case the house has two floors, two flats on each floor. That is, in total there are 4 flats. The light isn't on only on the second floor in the left flat. That is, in both rooms of the flat the light is off.
In the second test case the house has one floor and the first floor has three flats. The light is on in the leftmost flat (in both windows) and in the middle flat (in one window). In the right flat the light is off. | 500 | [
{
"input": "2 2\n0 0 0 1\n1 0 1 1",
"output": "3"
},
{
"input": "1 3\n1 1 0 1 0 0",
"output": "2"
},
{
"input": "3 3\n1 1 1 1 1 1\n1 1 0 1 1 0\n1 0 0 0 1 1",
"output": "8"
},
{
"input": "1 5\n1 0 1 1 1 0 1 1 1 1",
"output": "5"
},
{
"input": "1 100\n1 1 1 1 1 1 1 ... | 1,529,501,681 | 2,147,483,647 | PyPy 3 | OK | TESTS | 36 | 155 | 614,400 | n,m=list(map(int,input().split()))
c=0
for i in range(n):
l=list(map(int,input().split()))
for i in range(0,len(l),2):
if l[i]==0 and l[i+1]==1 or l[i]==1 and l[i+1]==1 or l[i]==1 and l[i+1]==0:
c+=1
i+=1
#i+=1
print(c) | Title: Vitaly and Night
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Vitaly was going home late at night and wondering: how many people aren't sleeping at that moment? To estimate, Vitaly decided to look which windows are lit in the house he was passing by at that moment.
Vitaly sees a building of *n* floors and 2·*m* windows on each floor. On each floor there are *m* flats numbered from 1 to *m*, and two consecutive windows correspond to each flat. If we number the windows from 1 to 2·*m* from left to right, then the *j*-th flat of the *i*-th floor has windows 2·*j*<=-<=1 and 2·*j* in the corresponding row of windows (as usual, floors are enumerated from the bottom). Vitaly thinks that people in the flat aren't sleeping at that moment if at least one of the windows corresponding to this flat has lights on.
Given the information about the windows of the given house, your task is to calculate the number of flats where, according to Vitaly, people aren't sleeping.
Input Specification:
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of floors in the house and the number of flats on each floor respectively.
Next *n* lines describe the floors from top to bottom and contain 2·*m* characters each. If the *i*-th window of the given floor has lights on, then the *i*-th character of this line is '1', otherwise it is '0'.
Output Specification:
Print a single integer — the number of flats that have lights on in at least one window, that is, the flats where, according to Vitaly, people aren't sleeping.
Demo Input:
['2 2\n0 0 0 1\n1 0 1 1\n', '1 3\n1 1 0 1 0 0\n']
Demo Output:
['3\n', '2\n']
Note:
In the first test case the house has two floors, two flats on each floor. That is, in total there are 4 flats. The light isn't on only on the second floor in the left flat. That is, in both rooms of the flat the light is off.
In the second test case the house has one floor and the first floor has three flats. The light is on in the leftmost flat (in both windows) and in the middle flat (in one window). In the right flat the light is off. | ```python
n,m=list(map(int,input().split()))
c=0
for i in range(n):
l=list(map(int,input().split()))
for i in range(0,len(l),2):
if l[i]==0 and l[i+1]==1 or l[i]==1 and l[i+1]==1 or l[i]==1 and l[i+1]==0:
c+=1
i+=1
#i+=1
print(c)
``` | 3 | |
44 | C | Holidays | PROGRAMMING | 1,300 | [
"implementation"
] | C. Holidays | 2 | 256 | School holidays come in Berland. The holidays are going to continue for *n* days. The students of school №*N* are having the time of their lives and the IT teacher Marina Sergeyevna, who has spent all the summer busy checking the BSE (Berland State Examination) results, has finally taken a vacation break! Some people are in charge of the daily watering of flowers in shifts according to the schedule. However when Marina Sergeyevna was making the schedule, she was so tired from work and so lost in dreams of the oncoming vacation that she perhaps made several mistakes. In fact, it is possible that according to the schedule, on some days during the holidays the flowers will not be watered or will be watered multiple times. Help Marina Sergeyevna to find a mistake. | The first input line contains two numbers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of days in Berland holidays and the number of people in charge of the watering respectively. The next *m* lines contain the description of the duty schedule. Each line contains two integers *a**i* and *b**i* (1<=≤<=*a**i*<=≤<=*b**i*<=≤<=*n*), meaning that the *i*-th person in charge should water the flowers from the *a**i*-th to the *b**i*-th day inclusively, once a day. The duty shifts are described sequentially, i.e. *b**i*<=≤<=*a**i*<=+<=1 for all *i* from 1 to *n*<=-<=1 inclusively. | Print "OK" (without quotes), if the schedule does not contain mistakes. Otherwise you have to find the minimal number of a day when the flowers will not be watered or will be watered multiple times, and output two integers — the day number and the number of times the flowers will be watered that day. | [
"10 5\n1 2\n3 3\n4 6\n7 7\n8 10\n",
"10 5\n1 2\n2 3\n4 5\n7 8\n9 10\n",
"10 5\n1 2\n3 3\n5 7\n7 7\n7 10\n"
] | [
"OK\n",
"2 2\n",
"4 0\n"
] | Keep in mind that in the second sample the mistake occurs not only on the second day, but also on the sixth day, when nobody waters the flowers. However, you have to print the second day, i.e. the day with the minimal number. | 0 | [
{
"input": "10 5\n1 2\n3 3\n4 6\n7 7\n8 10",
"output": "OK"
},
{
"input": "10 5\n1 2\n2 3\n4 5\n7 8\n9 10",
"output": "2 2"
},
{
"input": "10 5\n1 2\n3 3\n5 7\n7 7\n7 10",
"output": "4 0"
},
{
"input": "5 4\n1 1\n2 2\n3 3\n4 5",
"output": "OK"
},
{
"input": "100 5... | 1,563,266,875 | 2,147,483,647 | PyPy 3 | OK | TESTS | 35 | 310 | 0 | n,m = map(int,input().split())
Ln = [0]*n
while m!=0:
a,b = map(int,input().split())
for i in range(a,b+1):
Ln[i-1]+=1
m-=1
for i in range(0,len(Ln)):
if Ln[i]==0 :
print(i+1,0)
exit(0)
elif Ln[i]>1:
print(i+1,Ln[i])
exit(0)
print('OK')
exit(0)
| Title: Holidays
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
School holidays come in Berland. The holidays are going to continue for *n* days. The students of school №*N* are having the time of their lives and the IT teacher Marina Sergeyevna, who has spent all the summer busy checking the BSE (Berland State Examination) results, has finally taken a vacation break! Some people are in charge of the daily watering of flowers in shifts according to the schedule. However when Marina Sergeyevna was making the schedule, she was so tired from work and so lost in dreams of the oncoming vacation that she perhaps made several mistakes. In fact, it is possible that according to the schedule, on some days during the holidays the flowers will not be watered or will be watered multiple times. Help Marina Sergeyevna to find a mistake.
Input Specification:
The first input line contains two numbers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of days in Berland holidays and the number of people in charge of the watering respectively. The next *m* lines contain the description of the duty schedule. Each line contains two integers *a**i* and *b**i* (1<=≤<=*a**i*<=≤<=*b**i*<=≤<=*n*), meaning that the *i*-th person in charge should water the flowers from the *a**i*-th to the *b**i*-th day inclusively, once a day. The duty shifts are described sequentially, i.e. *b**i*<=≤<=*a**i*<=+<=1 for all *i* from 1 to *n*<=-<=1 inclusively.
Output Specification:
Print "OK" (without quotes), if the schedule does not contain mistakes. Otherwise you have to find the minimal number of a day when the flowers will not be watered or will be watered multiple times, and output two integers — the day number and the number of times the flowers will be watered that day.
Demo Input:
['10 5\n1 2\n3 3\n4 6\n7 7\n8 10\n', '10 5\n1 2\n2 3\n4 5\n7 8\n9 10\n', '10 5\n1 2\n3 3\n5 7\n7 7\n7 10\n']
Demo Output:
['OK\n', '2 2\n', '4 0\n']
Note:
Keep in mind that in the second sample the mistake occurs not only on the second day, but also on the sixth day, when nobody waters the flowers. However, you have to print the second day, i.e. the day with the minimal number. | ```python
n,m = map(int,input().split())
Ln = [0]*n
while m!=0:
a,b = map(int,input().split())
for i in range(a,b+1):
Ln[i-1]+=1
m-=1
for i in range(0,len(Ln)):
if Ln[i]==0 :
print(i+1,0)
exit(0)
elif Ln[i]>1:
print(i+1,Ln[i])
exit(0)
print('OK')
exit(0)
``` | 3.9225 |
446 | C | DZY Loves Fibonacci Numbers | PROGRAMMING | 2,400 | [
"data structures",
"math",
"number theory"
] | null | null | In mathematical terms, the sequence *F**n* of Fibonacci numbers is defined by the recurrence relation
DZY loves Fibonacci numbers very much. Today DZY gives you an array consisting of *n* integers: *a*1,<=*a*2,<=...,<=*a**n*. Moreover, there are *m* queries, each query has one of the two types:
1. Format of the query "1 *l* *r*". In reply to the query, you need to add *F**i*<=-<=*l*<=+<=1 to each element *a**i*, where *l*<=≤<=*i*<=≤<=*r*. 1. Format of the query "2 *l* *r*". In reply to the query you should output the value of modulo 1000000009 (109<=+<=9).
Help DZY reply to all the queries. | The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=300000). The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — initial array *a*.
Then, *m* lines follow. A single line describes a single query in the format given in the statement. It is guaranteed that for each query inequality 1<=≤<=*l*<=≤<=*r*<=≤<=*n* holds. | For each query of the second type, print the value of the sum on a single line. | [
"4 4\n1 2 3 4\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n"
] | [
"17\n12\n"
] | After the first query, *a* = [2, 3, 5, 7].
For the second query, *sum* = 2 + 3 + 5 + 7 = 17.
After the third query, *a* = [2, 4, 6, 9].
For the fourth query, *sum* = 2 + 4 + 6 = 12. | 1,500 | [
{
"input": "4 4\n1 2 3 4\n1 1 4\n2 1 4\n1 2 4\n2 1 3",
"output": "17\n12"
},
{
"input": "2 2\n1 2\n2 1 2\n2 1 2",
"output": "3\n3"
},
{
"input": "10 20\n56 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 ... | 1,692,845,033 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 30 | 0 | n = int(input())
arr = [int(s) for s in input().split()]
s = sum(arr)
t = []
if s % 3 == 0:
sum = 0
for i in range(n):
sum += arr[i]
v = (0 if len(t) < 1 else t[len(t) - 1]) + (1 if sum == s // 3 else 0)
t.append(v)
res = 0
sum = arr[0]
for i in range(1, n - 1):
sum += arr[i]
if sum == 2 * s // 3:
res += t[i - 1]
print(res)
else:
print(0)
| Title: DZY Loves Fibonacci Numbers
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In mathematical terms, the sequence *F**n* of Fibonacci numbers is defined by the recurrence relation
DZY loves Fibonacci numbers very much. Today DZY gives you an array consisting of *n* integers: *a*1,<=*a*2,<=...,<=*a**n*. Moreover, there are *m* queries, each query has one of the two types:
1. Format of the query "1 *l* *r*". In reply to the query, you need to add *F**i*<=-<=*l*<=+<=1 to each element *a**i*, where *l*<=≤<=*i*<=≤<=*r*. 1. Format of the query "2 *l* *r*". In reply to the query you should output the value of modulo 1000000009 (109<=+<=9).
Help DZY reply to all the queries.
Input Specification:
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=300000). The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — initial array *a*.
Then, *m* lines follow. A single line describes a single query in the format given in the statement. It is guaranteed that for each query inequality 1<=≤<=*l*<=≤<=*r*<=≤<=*n* holds.
Output Specification:
For each query of the second type, print the value of the sum on a single line.
Demo Input:
['4 4\n1 2 3 4\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n']
Demo Output:
['17\n12\n']
Note:
After the first query, *a* = [2, 3, 5, 7].
For the second query, *sum* = 2 + 3 + 5 + 7 = 17.
After the third query, *a* = [2, 4, 6, 9].
For the fourth query, *sum* = 2 + 4 + 6 = 12. | ```python
n = int(input())
arr = [int(s) for s in input().split()]
s = sum(arr)
t = []
if s % 3 == 0:
sum = 0
for i in range(n):
sum += arr[i]
v = (0 if len(t) < 1 else t[len(t) - 1]) + (1 if sum == s // 3 else 0)
t.append(v)
res = 0
sum = arr[0]
for i in range(1, n - 1):
sum += arr[i]
if sum == 2 * s // 3:
res += t[i - 1]
print(res)
else:
print(0)
``` | -1 | |
612 | C | Replace To Make Regular Bracket Sequence | PROGRAMMING | 1,400 | [
"data structures",
"expression parsing",
"math"
] | null | null | You are given string *s* consists of opening and closing brackets of four kinds <>, {}, [], (). There are two types of brackets: opening and closing. You can replace any bracket by another of the same type. For example, you can replace < by the bracket {, but you can't replace it by ) or >.
The following definition of a regular bracket sequence is well-known, so you can be familiar with it.
Let's define a regular bracket sequence (RBS). Empty string is RBS. Let *s*1 and *s*2 be a RBS then the strings <*s*1>*s*2, {*s*1}*s*2, [*s*1]*s*2, (*s*1)*s*2 are also RBS.
For example the string "[[(){}]<>]" is RBS, but the strings "[)()" and "][()()" are not.
Determine the least number of replaces to make the string *s* RBS. | The only line contains a non empty string *s*, consisting of only opening and closing brackets of four kinds. The length of *s* does not exceed 106. | If it's impossible to get RBS from *s* print Impossible.
Otherwise print the least number of replaces needed to get RBS from *s*. | [
"[<}){}\n",
"{()}[]\n",
"]]\n"
] | [
"2",
"0",
"Impossible"
] | none | 0 | [
{
"input": "[<}){}",
"output": "2"
},
{
"input": "{()}[]",
"output": "0"
},
{
"input": "]]",
"output": "Impossible"
},
{
"input": ">",
"output": "Impossible"
},
{
"input": "{}",
"output": "0"
},
{
"input": "{}",
"output": "0"
},
{
"input": ... | 1,525,359,871 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 9 | 77 | 7,065,600 | R = lambda: list(map(int,input().split()))
s = input()
ok = True
ans = 0
st = []
opn = set("<[({")
inv = {'}':'{', ')':'(', '>':'<', ']':'['}
for i in s:
if i in opn:
st.append(i)
else:
if not st:
ok = False
break
if inv[i]!=st[-1]: ans += 1
st.pop()
if not ok: print("Impossible")
else: print(ans) | Title: Replace To Make Regular Bracket Sequence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given string *s* consists of opening and closing brackets of four kinds <>, {}, [], (). There are two types of brackets: opening and closing. You can replace any bracket by another of the same type. For example, you can replace < by the bracket {, but you can't replace it by ) or >.
The following definition of a regular bracket sequence is well-known, so you can be familiar with it.
Let's define a regular bracket sequence (RBS). Empty string is RBS. Let *s*1 and *s*2 be a RBS then the strings <*s*1>*s*2, {*s*1}*s*2, [*s*1]*s*2, (*s*1)*s*2 are also RBS.
For example the string "[[(){}]<>]" is RBS, but the strings "[)()" and "][()()" are not.
Determine the least number of replaces to make the string *s* RBS.
Input Specification:
The only line contains a non empty string *s*, consisting of only opening and closing brackets of four kinds. The length of *s* does not exceed 106.
Output Specification:
If it's impossible to get RBS from *s* print Impossible.
Otherwise print the least number of replaces needed to get RBS from *s*.
Demo Input:
['[<}){}\n', '{()}[]\n', ']]\n']
Demo Output:
['2', '0', 'Impossible']
Note:
none | ```python
R = lambda: list(map(int,input().split()))
s = input()
ok = True
ans = 0
st = []
opn = set("<[({")
inv = {'}':'{', ')':'(', '>':'<', ']':'['}
for i in s:
if i in opn:
st.append(i)
else:
if not st:
ok = False
break
if inv[i]!=st[-1]: ans += 1
st.pop()
if not ok: print("Impossible")
else: print(ans)
``` | 0 | |
732 | A | Buy a Shovel | PROGRAMMING | 800 | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel. | The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels. | Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change. | [
"117 3\n",
"237 7\n",
"15 2\n"
] | [
"9\n",
"1\n",
"2\n"
] | In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | 500 | [
{
"input": "117 3",
"output": "9"
},
{
"input": "237 7",
"output": "1"
},
{
"input": "15 2",
"output": "2"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 9",
"output": "9"
},
{
"input": "1000 3",
"output": "1"
},
{
"input": "1000 1",
... | 1,678,481,167 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 54 | 62 | 0 | inp = input().split()
inp = [int(x) for x in inp]
a=0
for i in range(15):
if(i>0):
if(inp[0]%10==0 or (inp[0]-inp[1])%10==0 or ((inp[0]*i)-inp[1])%10==0 or (inp[0]*i)%10==0):# :
a=i
break
print(a) | Title: Buy a Shovel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel.
Input Specification:
The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels.
Output Specification:
Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change.
Demo Input:
['117 3\n', '237 7\n', '15 2\n']
Demo Output:
['9\n', '1\n', '2\n']
Note:
In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | ```python
inp = input().split()
inp = [int(x) for x in inp]
a=0
for i in range(15):
if(i>0):
if(inp[0]%10==0 or (inp[0]-inp[1])%10==0 or ((inp[0]*i)-inp[1])%10==0 or (inp[0]*i)%10==0):# :
a=i
break
print(a)
``` | 3 | |
252 | A | Little Xor | PROGRAMMING | 1,100 | [
"brute force",
"implementation"
] | null | null | Little Petya likes arrays that consist of non-negative integers a lot. Recently his mom has presented him one such array consisting of *n* elements. Petya immediately decided to find there a segment of consecutive elements, such that the *xor* of all numbers from this segment was maximal possible. Help him with that.
The *xor* operation is the bitwise exclusive "OR", that is denoted as "xor" in Pascal and "^" in C/C++/Java. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array. The second line contains the space-separated integers from the array. All numbers are non-negative integers strictly less than 230. | Print a single integer — the required maximal *xor* of a segment of consecutive elements. | [
"5\n1 2 1 1 2\n",
"3\n1 2 7\n",
"4\n4 2 4 8\n"
] | [
"3\n",
"7\n",
"14\n"
] | In the first sample one of the optimal segments is the segment that consists of the first and the second array elements, if we consider the array elements indexed starting from one.
The second sample contains only one optimal segment, which contains exactly one array element (element with index three). | 500 | [
{
"input": "5\n1 2 1 1 2",
"output": "3"
},
{
"input": "3\n1 2 7",
"output": "7"
},
{
"input": "4\n4 2 4 8",
"output": "14"
},
{
"input": "5\n1 1 1 1 1",
"output": "1"
},
{
"input": "16\n0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15",
"output": "15"
},
{
"inpu... | 1,618,227,954 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | 5
1912 1123
5 6213
999 11234
88 214
12 100124
| Title: Little Xor
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Petya likes arrays that consist of non-negative integers a lot. Recently his mom has presented him one such array consisting of *n* elements. Petya immediately decided to find there a segment of consecutive elements, such that the *xor* of all numbers from this segment was maximal possible. Help him with that.
The *xor* operation is the bitwise exclusive "OR", that is denoted as "xor" in Pascal and "^" in C/C++/Java.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array. The second line contains the space-separated integers from the array. All numbers are non-negative integers strictly less than 230.
Output Specification:
Print a single integer — the required maximal *xor* of a segment of consecutive elements.
Demo Input:
['5\n1 2 1 1 2\n', '3\n1 2 7\n', '4\n4 2 4 8\n']
Demo Output:
['3\n', '7\n', '14\n']
Note:
In the first sample one of the optimal segments is the segment that consists of the first and the second array elements, if we consider the array elements indexed starting from one.
The second sample contains only one optimal segment, which contains exactly one array element (element with index three). | ```python
5
1912 1123
5 6213
999 11234
88 214
12 100124
``` | -1 | |
602 | B | Approximating a Constant Range | PROGRAMMING | 1,400 | [
"dp",
"implementation",
"two pointers"
] | null | null | When Xellos was doing a practice course in university, he once had to measure the intensity of an effect that slowly approached equilibrium. A good way to determine the equilibrium intensity would be choosing a sufficiently large number of consecutive data points that seems as constant as possible and taking their average. Of course, with the usual sizes of data, it's nothing challenging — but why not make a similar programming contest problem while we're at it?
You're given a sequence of *n* data points *a*1,<=...,<=*a**n*. There aren't any big jumps between consecutive data points — for each 1<=≤<=*i*<=<<=*n*, it's guaranteed that |*a**i*<=+<=1<=-<=*a**i*|<=≤<=1.
A range [*l*,<=*r*] of data points is said to be almost constant if the difference between the largest and the smallest value in that range is at most 1. Formally, let *M* be the maximum and *m* the minimum value of *a**i* for *l*<=≤<=*i*<=≤<=*r*; the range [*l*,<=*r*] is almost constant if *M*<=-<=*m*<=≤<=1.
Find the length of the longest almost constant range. | The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000) — the number of data points.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100<=000). | Print a single number — the maximum length of an almost constant range of the given sequence. | [
"5\n1 2 3 3 2\n",
"11\n5 4 5 5 6 7 8 8 8 7 6\n"
] | [
"4\n",
"5\n"
] | In the first sample, the longest almost constant range is [2, 5]; its length (the number of data points in it) is 4.
In the second sample, there are three almost constant ranges of length 4: [1, 4], [6, 9] and [7, 10]; the only almost constant range of the maximum length 5 is [6, 10]. | 1,000 | [
{
"input": "5\n1 2 3 3 2",
"output": "4"
},
{
"input": "11\n5 4 5 5 6 7 8 8 8 7 6",
"output": "5"
},
{
"input": "2\n3 2",
"output": "2"
},
{
"input": "4\n1001 1000 1000 1001",
"output": "4"
},
{
"input": "4\n1 1 2 3",
"output": "3"
},
{
"input": "3\n1 ... | 1,590,289,475 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 21 | 2,000 | 7,680,000 |
# Approximating a Constant Range
def calculate_constant_range(data_points, n):
i = 0
const_max = 0
while i <= n - const_max:
temp_lst = []
count = 0
j = i
while j < n:
if data_points[j] not in temp_lst:
temp_lst.append(data_points[j])
if len(temp_lst) > 2:
break
count += 1
j += 1
if count > const_max:
const_max = count
i += 1
return const_max
if __name__ == "__main__":
# # Input handling
n = int(input())
data_points = list(map(int, input().split()))
# data_points = [5, 4, 5, 5, 6, 7, 8, 8, 8, 7, 6]
# data_points = [1, 2, 3, 3, 2]
# n = len(data_points)
print(calculate_constant_range(data_points, n))
| Title: Approximating a Constant Range
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
When Xellos was doing a practice course in university, he once had to measure the intensity of an effect that slowly approached equilibrium. A good way to determine the equilibrium intensity would be choosing a sufficiently large number of consecutive data points that seems as constant as possible and taking their average. Of course, with the usual sizes of data, it's nothing challenging — but why not make a similar programming contest problem while we're at it?
You're given a sequence of *n* data points *a*1,<=...,<=*a**n*. There aren't any big jumps between consecutive data points — for each 1<=≤<=*i*<=<<=*n*, it's guaranteed that |*a**i*<=+<=1<=-<=*a**i*|<=≤<=1.
A range [*l*,<=*r*] of data points is said to be almost constant if the difference between the largest and the smallest value in that range is at most 1. Formally, let *M* be the maximum and *m* the minimum value of *a**i* for *l*<=≤<=*i*<=≤<=*r*; the range [*l*,<=*r*] is almost constant if *M*<=-<=*m*<=≤<=1.
Find the length of the longest almost constant range.
Input Specification:
The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000) — the number of data points.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100<=000).
Output Specification:
Print a single number — the maximum length of an almost constant range of the given sequence.
Demo Input:
['5\n1 2 3 3 2\n', '11\n5 4 5 5 6 7 8 8 8 7 6\n']
Demo Output:
['4\n', '5\n']
Note:
In the first sample, the longest almost constant range is [2, 5]; its length (the number of data points in it) is 4.
In the second sample, there are three almost constant ranges of length 4: [1, 4], [6, 9] and [7, 10]; the only almost constant range of the maximum length 5 is [6, 10]. | ```python
# Approximating a Constant Range
def calculate_constant_range(data_points, n):
i = 0
const_max = 0
while i <= n - const_max:
temp_lst = []
count = 0
j = i
while j < n:
if data_points[j] not in temp_lst:
temp_lst.append(data_points[j])
if len(temp_lst) > 2:
break
count += 1
j += 1
if count > const_max:
const_max = count
i += 1
return const_max
if __name__ == "__main__":
# # Input handling
n = int(input())
data_points = list(map(int, input().split()))
# data_points = [5, 4, 5, 5, 6, 7, 8, 8, 8, 7, 6]
# data_points = [1, 2, 3, 3, 2]
# n = len(data_points)
print(calculate_constant_range(data_points, n))
``` | 0 | |
41 | A | Translation | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Translation | 2 | 256 | The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly. | The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols. | If the word *t* is a word *s*, written reversely, print YES, otherwise print NO. | [
"code\nedoc\n",
"abb\naba\n",
"code\ncode\n"
] | [
"YES\n",
"NO\n",
"NO\n"
] | none | 500 | [
{
"input": "code\nedoc",
"output": "YES"
},
{
"input": "abb\naba",
"output": "NO"
},
{
"input": "code\ncode",
"output": "NO"
},
{
"input": "abacaba\nabacaba",
"output": "YES"
},
{
"input": "q\nq",
"output": "YES"
},
{
"input": "asrgdfngfnmfgnhweratgjkk... | 1,570,801,198 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 218 | 0 | s=input()
t=input()
x=0
if len(s)>len(t) or len(s)<len(t):
print('NO')
else:
for i in range(len(s)):
if s[i]==t[-i-1]:
x=x+1
if x==len(s):
print('YES')
else:
print('NO')
| Title: Translation
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly.
Input Specification:
The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols.
Output Specification:
If the word *t* is a word *s*, written reversely, print YES, otherwise print NO.
Demo Input:
['code\nedoc\n', 'abb\naba\n', 'code\ncode\n']
Demo Output:
['YES\n', 'NO\n', 'NO\n']
Note:
none | ```python
s=input()
t=input()
x=0
if len(s)>len(t) or len(s)<len(t):
print('NO')
else:
for i in range(len(s)):
if s[i]==t[-i-1]:
x=x+1
if x==len(s):
print('YES')
else:
print('NO')
``` | 3.9455 |
626 | B | Cards | PROGRAMMING | 1,300 | [
"constructive algorithms",
"dp",
"math"
] | null | null | Catherine has a deck of *n* cards, each of which is either red, green, or blue. As long as there are at least two cards left, she can do one of two actions:
- take any two (not necessarily adjacent) cards with different colors and exchange them for a new card of the third color; - take any two (not necessarily adjacent) cards with the same color and exchange them for a new card with that color.
She repeats this process until there is only one card left. What are the possible colors for the final card? | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200) — the total number of cards.
The next line contains a string *s* of length *n* — the colors of the cards. *s* contains only the characters 'B', 'G', and 'R', representing blue, green, and red, respectively. | Print a single string of up to three characters — the possible colors of the final card (using the same symbols as the input) in alphabetical order. | [
"2\nRB\n",
"3\nGRG\n",
"5\nBBBBB\n"
] | [
"G\n",
"BR\n",
"B\n"
] | In the first sample, Catherine has one red card and one blue card, which she must exchange for a green card.
In the second sample, Catherine has two green cards and one red card. She has two options: she can exchange the two green cards for a green card, then exchange the new green card and the red card for a blue card. Alternatively, she can exchange a green and a red card for a blue card, then exchange the blue card and remaining green card for a red card.
In the third sample, Catherine only has blue cards, so she can only exchange them for more blue cards. | 750 | [
{
"input": "2\nRB",
"output": "G"
},
{
"input": "3\nGRG",
"output": "BR"
},
{
"input": "5\nBBBBB",
"output": "B"
},
{
"input": "1\nR",
"output": "R"
},
{
"input": "200\nBBRGRRBBRGGGBGBGBGRRGRGRGRBGRGRRBBGRGBGRRGRRRGGBBRGBGBGBRBBBBBBBGGBRGGRRRGGRGBGBGGBRRRRBRRRBRBB... | 1,455,385,954 | 1,054 | Python 3 | WRONG_ANSWER | PRETESTS | 1 | 62 | 0 | l=int(input())
c=input()
if len(set(c))==1:
print(c[0])
elif c.count('R')==c.count('B') and c.count('R')==c.count('G'):
print('BGR')
rc=['R', 'G', 'B']
rc.sort(key=lambda x: c.count(x))
#rc=list(sorted(map(lambda x: c.count(x), rc)))
print(rc[0])
| Title: Cards
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Catherine has a deck of *n* cards, each of which is either red, green, or blue. As long as there are at least two cards left, she can do one of two actions:
- take any two (not necessarily adjacent) cards with different colors and exchange them for a new card of the third color; - take any two (not necessarily adjacent) cards with the same color and exchange them for a new card with that color.
She repeats this process until there is only one card left. What are the possible colors for the final card?
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200) — the total number of cards.
The next line contains a string *s* of length *n* — the colors of the cards. *s* contains only the characters 'B', 'G', and 'R', representing blue, green, and red, respectively.
Output Specification:
Print a single string of up to three characters — the possible colors of the final card (using the same symbols as the input) in alphabetical order.
Demo Input:
['2\nRB\n', '3\nGRG\n', '5\nBBBBB\n']
Demo Output:
['G\n', 'BR\n', 'B\n']
Note:
In the first sample, Catherine has one red card and one blue card, which she must exchange for a green card.
In the second sample, Catherine has two green cards and one red card. She has two options: she can exchange the two green cards for a green card, then exchange the new green card and the red card for a blue card. Alternatively, she can exchange a green and a red card for a blue card, then exchange the blue card and remaining green card for a red card.
In the third sample, Catherine only has blue cards, so she can only exchange them for more blue cards. | ```python
l=int(input())
c=input()
if len(set(c))==1:
print(c[0])
elif c.count('R')==c.count('B') and c.count('R')==c.count('G'):
print('BGR')
rc=['R', 'G', 'B']
rc.sort(key=lambda x: c.count(x))
#rc=list(sorted(map(lambda x: c.count(x), rc)))
print(rc[0])
``` | 0 | |
43 | A | Football | PROGRAMMING | 1,000 | [
"strings"
] | A. Football | 2 | 256 | One day Vasya decided to have a look at the results of Berland 1910 Football Championship’s finals. Unfortunately he didn't find the overall score of the match; however, he got hold of a profound description of the match's process. On the whole there are *n* lines in that description each of which described one goal. Every goal was marked with the name of the team that had scored it. Help Vasya, learn the name of the team that won the finals. It is guaranteed that the match did not end in a tie. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of lines in the description. Then follow *n* lines — for each goal the names of the teams that scored it. The names are non-empty lines consisting of uppercase Latin letters whose lengths do not exceed 10 symbols. It is guaranteed that the match did not end in a tie and the description contains no more than two different teams. | Print the name of the winning team. We remind you that in football the team that scores more goals is considered the winner. | [
"1\nABC\n",
"5\nA\nABA\nABA\nA\nA\n"
] | [
"ABC\n",
"A\n"
] | none | 500 | [
{
"input": "1\nABC",
"output": "ABC"
},
{
"input": "5\nA\nABA\nABA\nA\nA",
"output": "A"
},
{
"input": "2\nXTSJEP\nXTSJEP",
"output": "XTSJEP"
},
{
"input": "3\nXZYDJAEDZ\nXZYDJAEDZ\nXZYDJAEDZ",
"output": "XZYDJAEDZ"
},
{
"input": "3\nQCCYXL\nQCCYXL\nAXGLFQDD",
... | 1,684,592,469 | 2,147,483,647 | PyPy 3 | OK | TESTS | 34 | 186 | 0 | n = int(input())
d = {}
ans = ""
m = 0
for i in range(n):
s = input()
if s not in d:
d[s] = 0
d[s] += 1
if d[s] > m:
m = d[s]
ans = s
print(ans) | Title: Football
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
One day Vasya decided to have a look at the results of Berland 1910 Football Championship’s finals. Unfortunately he didn't find the overall score of the match; however, he got hold of a profound description of the match's process. On the whole there are *n* lines in that description each of which described one goal. Every goal was marked with the name of the team that had scored it. Help Vasya, learn the name of the team that won the finals. It is guaranteed that the match did not end in a tie.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of lines in the description. Then follow *n* lines — for each goal the names of the teams that scored it. The names are non-empty lines consisting of uppercase Latin letters whose lengths do not exceed 10 symbols. It is guaranteed that the match did not end in a tie and the description contains no more than two different teams.
Output Specification:
Print the name of the winning team. We remind you that in football the team that scores more goals is considered the winner.
Demo Input:
['1\nABC\n', '5\nA\nABA\nABA\nA\nA\n']
Demo Output:
['ABC\n', 'A\n']
Note:
none | ```python
n = int(input())
d = {}
ans = ""
m = 0
for i in range(n):
s = input()
if s not in d:
d[s] = 0
d[s] += 1
if d[s] > m:
m = d[s]
ans = s
print(ans)
``` | 3.9535 |
1,011 | A | Stages | PROGRAMMING | 900 | [
"greedy",
"implementation",
"sortings"
] | null | null | Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once. | The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once. | Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all. | [
"5 3\nxyabd\n",
"7 4\nproblem\n",
"2 2\nab\n",
"12 1\nabaabbaaabbb\n"
] | [
"29",
"34",
"-1",
"1"
] | In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | 500 | [
{
"input": "5 3\nxyabd",
"output": "29"
},
{
"input": "7 4\nproblem",
"output": "34"
},
{
"input": "2 2\nab",
"output": "-1"
},
{
"input": "12 1\nabaabbaaabbb",
"output": "1"
},
{
"input": "50 13\nqwertyuiopasdfghjklzxcvbnmaaaaaaaaaaaaaaaaaaaaaaaa",
"output": ... | 1,533,982,344 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 23 | 124 | 0 | n, k = [int(a) for a in input().split()]
data = sorted(list(input()))
num = 1
a = 0
result = ord(data[0]) - 96
for i in range(1, n):
if ord(data[i]) - ord(data[a]) > 1:
num += 1
result += ord(data[i]) - 96
a = i
if num == k:
break
if num == k:
print(result)
else:
print(-1)
| Title: Stages
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Natasha is going to fly to Mars. She needs to build a rocket, which consists of several stages in some order. Each of the stages is defined by a lowercase Latin letter. This way, the rocket can be described by the string — concatenation of letters, which correspond to the stages.
There are $n$ stages available. The rocket must contain exactly $k$ of them. Stages in the rocket should be ordered by their weight. So, after the stage with some letter can go only stage with a letter, which is at least two positions after in the alphabet (skipping one letter in between, or even more). For example, after letter 'c' can't go letters 'a', 'b', 'c' and 'd', but can go letters 'e', 'f', ..., 'z'.
For the rocket to fly as far as possible, its weight should be minimal. The weight of the rocket is equal to the sum of the weights of its stages. The weight of the stage is the number of its letter in the alphabet. For example, the stage 'a 'weighs one ton,' b 'weighs two tons, and' z' — $26$ tons.
Build the rocket with the minimal weight or determine, that it is impossible to build a rocket at all. Each stage can be used at most once.
Input Specification:
The first line of input contains two integers — $n$ and $k$ ($1 \le k \le n \le 50$) – the number of available stages and the number of stages to use in the rocket.
The second line contains string $s$, which consists of exactly $n$ lowercase Latin letters. Each letter defines a new stage, which can be used to build the rocket. Each stage can be used at most once.
Output Specification:
Print a single integer — the minimal total weight of the rocket or -1, if it is impossible to build the rocket at all.
Demo Input:
['5 3\nxyabd\n', '7 4\nproblem\n', '2 2\nab\n', '12 1\nabaabbaaabbb\n']
Demo Output:
['29', '34', '-1', '1']
Note:
In the first example, the following rockets satisfy the condition:
- "adx" (weight is $1+4+24=29$);- "ady" (weight is $1+4+25=30$);- "bdx" (weight is $2+4+24=30$);- "bdy" (weight is $2+4+25=31$).
Rocket "adx" has the minimal weight, so the answer is $29$.
In the second example, target rocket is "belo". Its weight is $2+5+12+15=34$.
In the third example, $n=k=2$, so the rocket must have both stages: 'a' and 'b'. This rocket doesn't satisfy the condition, because these letters are adjacent in the alphabet. Answer is -1. | ```python
n, k = [int(a) for a in input().split()]
data = sorted(list(input()))
num = 1
a = 0
result = ord(data[0]) - 96
for i in range(1, n):
if ord(data[i]) - ord(data[a]) > 1:
num += 1
result += ord(data[i]) - 96
a = i
if num == k:
break
if num == k:
print(result)
else:
print(-1)
``` | 0 | |
0 | none | none | none | 0 | [
"none"
] | null | null | An atom of element X can exist in *n* distinct states with energies *E*1<=<<=*E*2<=<<=...<=<<=*E**n*. Arkady wants to build a laser on this element, using a three-level scheme. Here is a simplified description of the scheme.
Three distinct states *i*, *j* and *k* are selected, where *i*<=<<=*j*<=<<=*k*. After that the following process happens:
1. initially the atom is in the state *i*,1. we spend *E**k*<=-<=*E**i* energy to put the atom in the state *k*,1. the atom emits a photon with useful energy *E**k*<=-<=*E**j* and changes its state to the state *j*,1. the atom spontaneously changes its state to the state *i*, losing energy *E**j*<=-<=*E**i*,1. the process repeats from step 1.
Let's define the energy conversion efficiency as , i. e. the ration between the useful energy of the photon and spent energy.
Due to some limitations, Arkady can only choose such three states that *E**k*<=-<=*E**i*<=≤<=*U*.
Help Arkady to find such the maximum possible energy conversion efficiency within the above constraints. | The first line contains two integers *n* and *U* (3<=≤<=*n*<=≤<=105, 1<=≤<=*U*<=≤<=109) — the number of states and the maximum possible difference between *E**k* and *E**i*.
The second line contains a sequence of integers *E*1,<=*E*2,<=...,<=*E**n* (1<=≤<=*E*1<=<<=*E*2...<=<<=*E**n*<=≤<=109). It is guaranteed that all *E**i* are given in increasing order. | If it is not possible to choose three states that satisfy all constraints, print -1.
Otherwise, print one real number η — the maximum possible energy conversion efficiency. Your answer is considered correct its absolute or relative error does not exceed 10<=-<=9.
Formally, let your answer be *a*, and the jury's answer be *b*. Your answer is considered correct if . | [
"4 4\n1 3 5 7\n",
"10 8\n10 13 15 16 17 19 20 22 24 25\n",
"3 1\n2 5 10\n"
] | [
"0.5\n",
"0.875\n",
"-1\n"
] | In the first example choose states 1, 2 and 3, so that the energy conversion efficiency becomes equal to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/147ae7a830722917b0aa37d064df8eb74cfefb97.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second example choose states 4, 5 and 9, so that the energy conversion efficiency becomes equal to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/f68f268de4eb2242167e6ec64e6b8aa60a5703ae.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | 0 | [
{
"input": "4 4\n1 3 5 7",
"output": "0.5"
},
{
"input": "10 8\n10 13 15 16 17 19 20 22 24 25",
"output": "0.875"
},
{
"input": "3 1\n2 5 10",
"output": "-1"
},
{
"input": "5 3\n4 6 8 9 10",
"output": "0.5"
},
{
"input": "10 128\n110 121 140 158 174 188 251 271 27... | 1,521,911,974 | 6,274 | Python 3 | WRONG_ANSWER | PRETESTS | 5 | 93 | 7,065,600 | import array
n, U = list(map(int,input().split()))
a = input().split()
i = 0
j = 2
mx = -1
while i<n-3 and i<j-1:
while (j<n-1) and (int(a[j+1])-int(a[i]) <= U):
j += 1
mx = max(mx,(int(a[j])-int(a[i+1]))/(int(a[j])-int(a[i])))
i+=1
print(mx)
| Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
An atom of element X can exist in *n* distinct states with energies *E*1<=<<=*E*2<=<<=...<=<<=*E**n*. Arkady wants to build a laser on this element, using a three-level scheme. Here is a simplified description of the scheme.
Three distinct states *i*, *j* and *k* are selected, where *i*<=<<=*j*<=<<=*k*. After that the following process happens:
1. initially the atom is in the state *i*,1. we spend *E**k*<=-<=*E**i* energy to put the atom in the state *k*,1. the atom emits a photon with useful energy *E**k*<=-<=*E**j* and changes its state to the state *j*,1. the atom spontaneously changes its state to the state *i*, losing energy *E**j*<=-<=*E**i*,1. the process repeats from step 1.
Let's define the energy conversion efficiency as , i. e. the ration between the useful energy of the photon and spent energy.
Due to some limitations, Arkady can only choose such three states that *E**k*<=-<=*E**i*<=≤<=*U*.
Help Arkady to find such the maximum possible energy conversion efficiency within the above constraints.
Input Specification:
The first line contains two integers *n* and *U* (3<=≤<=*n*<=≤<=105, 1<=≤<=*U*<=≤<=109) — the number of states and the maximum possible difference between *E**k* and *E**i*.
The second line contains a sequence of integers *E*1,<=*E*2,<=...,<=*E**n* (1<=≤<=*E*1<=<<=*E*2...<=<<=*E**n*<=≤<=109). It is guaranteed that all *E**i* are given in increasing order.
Output Specification:
If it is not possible to choose three states that satisfy all constraints, print -1.
Otherwise, print one real number η — the maximum possible energy conversion efficiency. Your answer is considered correct its absolute or relative error does not exceed 10<=-<=9.
Formally, let your answer be *a*, and the jury's answer be *b*. Your answer is considered correct if .
Demo Input:
['4 4\n1 3 5 7\n', '10 8\n10 13 15 16 17 19 20 22 24 25\n', '3 1\n2 5 10\n']
Demo Output:
['0.5\n', '0.875\n', '-1\n']
Note:
In the first example choose states 1, 2 and 3, so that the energy conversion efficiency becomes equal to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/147ae7a830722917b0aa37d064df8eb74cfefb97.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second example choose states 4, 5 and 9, so that the energy conversion efficiency becomes equal to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/f68f268de4eb2242167e6ec64e6b8aa60a5703ae.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | ```python
import array
n, U = list(map(int,input().split()))
a = input().split()
i = 0
j = 2
mx = -1
while i<n-3 and i<j-1:
while (j<n-1) and (int(a[j+1])-int(a[i]) <= U):
j += 1
mx = max(mx,(int(a[j])-int(a[i+1]))/(int(a[j])-int(a[i])))
i+=1
print(mx)
``` | 0 | |
127 | B | Canvas Frames | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Nicholas, a painter is going to paint several new canvases. Nicholas is sure that the canvases will turn out so great that each one will need framing and being hung on the wall. Frames are what Nicholas decided to begin with.
Nicholas has *n* sticks whose lengths equal *a*1,<=*a*2,<=... *a**n*. Nicholas does not want to break the sticks or glue them together. To make a *h*<=×<=*w*-sized frame, he needs two sticks whose lengths equal *h* and two sticks whose lengths equal *w*. Specifically, to make a square frame (when *h*<==<=*w*), he needs four sticks of the same length.
Now Nicholas wants to make from the sticks that he has as many frames as possible; to be able to paint as many canvases as possible to fill the frames. Help him in this uneasy task. Note that it is not necessary to use all the sticks Nicholas has. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of sticks. The second line contains *n* space-separated integers. The *i*-th integer equals the length of the *i*-th stick *a**i* (1<=≤<=*a**i*<=≤<=100). | Print the single number — the maximum number of frames Nicholas can make for his future canvases. | [
"5\n2 4 3 2 3\n",
"13\n2 2 4 4 4 4 6 6 6 7 7 9 9\n",
"4\n3 3 3 5\n"
] | [
"1",
"3",
"0"
] | none | 1,000 | [
{
"input": "5\n2 4 3 2 3",
"output": "1"
},
{
"input": "13\n2 2 4 4 4 4 6 6 6 7 7 9 9",
"output": "3"
},
{
"input": "4\n3 3 3 5",
"output": "0"
},
{
"input": "2\n3 5",
"output": "0"
},
{
"input": "9\n1 2 3 4 5 6 7 8 9",
"output": "0"
},
{
"input": "14\... | 1,669,039,342 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 93 | 62 | 0 | import math
n = int(input())
sticks = list(map(int,input().split()))
sticks.sort()
pair = 0
count = 1
for index in range(len(sticks)-1):
if sticks[index] == sticks[index+1]:
count = count + 1
if index == len(sticks)-2:
pair = pair + math.floor(count/2)
else:
pair = pair + math.floor(count/2)
count = 1
frames = math.floor(pair/2)
print(frames) | Title: Canvas Frames
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Nicholas, a painter is going to paint several new canvases. Nicholas is sure that the canvases will turn out so great that each one will need framing and being hung on the wall. Frames are what Nicholas decided to begin with.
Nicholas has *n* sticks whose lengths equal *a*1,<=*a*2,<=... *a**n*. Nicholas does not want to break the sticks or glue them together. To make a *h*<=×<=*w*-sized frame, he needs two sticks whose lengths equal *h* and two sticks whose lengths equal *w*. Specifically, to make a square frame (when *h*<==<=*w*), he needs four sticks of the same length.
Now Nicholas wants to make from the sticks that he has as many frames as possible; to be able to paint as many canvases as possible to fill the frames. Help him in this uneasy task. Note that it is not necessary to use all the sticks Nicholas has.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of sticks. The second line contains *n* space-separated integers. The *i*-th integer equals the length of the *i*-th stick *a**i* (1<=≤<=*a**i*<=≤<=100).
Output Specification:
Print the single number — the maximum number of frames Nicholas can make for his future canvases.
Demo Input:
['5\n2 4 3 2 3\n', '13\n2 2 4 4 4 4 6 6 6 7 7 9 9\n', '4\n3 3 3 5\n']
Demo Output:
['1', '3', '0']
Note:
none | ```python
import math
n = int(input())
sticks = list(map(int,input().split()))
sticks.sort()
pair = 0
count = 1
for index in range(len(sticks)-1):
if sticks[index] == sticks[index+1]:
count = count + 1
if index == len(sticks)-2:
pair = pair + math.floor(count/2)
else:
pair = pair + math.floor(count/2)
count = 1
frames = math.floor(pair/2)
print(frames)
``` | 3 | |
633 | C | Spy Syndrome 2 | PROGRAMMING | 1,900 | [
"data structures",
"dp",
"hashing",
"implementation",
"sortings",
"string suffix structures",
"strings"
] | null | null | After observing the results of Spy Syndrome, Yash realised the errors of his ways. He now believes that a super spy such as Siddhant can't use a cipher as basic and ancient as Caesar cipher. After many weeks of observation of Siddhant’s sentences, Yash determined a new cipher technique.
For a given sentence, the cipher is processed as:
1. Convert all letters of the sentence to lowercase. 1. Reverse each of the words of the sentence individually. 1. Remove all the spaces in the sentence.
For example, when this cipher is applied to the sentence
Kira is childish and he hates losing
the resulting string is
ariksihsidlihcdnaehsetahgnisol
Now Yash is given some ciphered string and a list of words. Help him to find out any original sentence composed using only words from the list. Note, that any of the given words could be used in the sentence multiple times. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10<=000) — the length of the ciphered text. The second line consists of *n* lowercase English letters — the ciphered text *t*.
The third line contains a single integer *m* (1<=≤<=*m*<=≤<=100<=000) — the number of words which will be considered while deciphering the text. Each of the next *m* lines contains a non-empty word *w**i* (|*w**i*|<=≤<=1<=000) consisting of uppercase and lowercase English letters only. It's guaranteed that the total length of all words doesn't exceed 1<=000<=000. | Print one line — the original sentence. It is guaranteed that at least one solution exists. If there are multiple solutions, you may output any of those. | [
"30\nariksihsidlihcdnaehsetahgnisol\n10\nKira\nhates\nis\nhe\nlosing\ndeath\nchildish\nL\nand\nNote\n",
"12\niherehtolleh\n5\nHI\nHo\nthere\nHeLLo\nhello\n"
] | [
"Kira is childish and he hates losing \n",
"HI there HeLLo \n"
] | In sample case 2 there may be multiple accepted outputs, "HI there HeLLo" and "HI there hello" you may output any of them. | 1,500 | [
{
"input": "30\nariksihsidlihcdnaehsetahgnisol\n10\nKira\nhates\nis\nhe\nlosing\ndeath\nchildish\nL\nand\nNote",
"output": "Kira is childish and he hates losing "
},
{
"input": "12\niherehtolleh\n5\nHI\nHo\nthere\nHeLLo\nhello",
"output": "HI there HeLLo "
},
{
"input": "71\nbaaaaaaaaaaa... | 1,564,587,198 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 93 | 0 | qtd = int(input())
text, resposta = input(), list()
palavras, utilizado = int(input()), set()
prefixo = dict()
for i in range(qtd):
for j in range(i+1, qtd+1):
if text[i:j][::-1] not in prefixo:
prefixo[text[i:j][::-1]] = i+j
for _ in range(palavras):
palavra = input()
palavra_lower = palavra.lower()
if len(palavra) > 1 and palavra_lower in prefixo and not palavra_lower in utilizado:
resposta.append((prefixo[palavra_lower], palavra))
utilizado.add(palavra_lower)
print([palavra for indice, palavra in sorted(resposta)]) | Title: Spy Syndrome 2
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
After observing the results of Spy Syndrome, Yash realised the errors of his ways. He now believes that a super spy such as Siddhant can't use a cipher as basic and ancient as Caesar cipher. After many weeks of observation of Siddhant’s sentences, Yash determined a new cipher technique.
For a given sentence, the cipher is processed as:
1. Convert all letters of the sentence to lowercase. 1. Reverse each of the words of the sentence individually. 1. Remove all the spaces in the sentence.
For example, when this cipher is applied to the sentence
Kira is childish and he hates losing
the resulting string is
ariksihsidlihcdnaehsetahgnisol
Now Yash is given some ciphered string and a list of words. Help him to find out any original sentence composed using only words from the list. Note, that any of the given words could be used in the sentence multiple times.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10<=000) — the length of the ciphered text. The second line consists of *n* lowercase English letters — the ciphered text *t*.
The third line contains a single integer *m* (1<=≤<=*m*<=≤<=100<=000) — the number of words which will be considered while deciphering the text. Each of the next *m* lines contains a non-empty word *w**i* (|*w**i*|<=≤<=1<=000) consisting of uppercase and lowercase English letters only. It's guaranteed that the total length of all words doesn't exceed 1<=000<=000.
Output Specification:
Print one line — the original sentence. It is guaranteed that at least one solution exists. If there are multiple solutions, you may output any of those.
Demo Input:
['30\nariksihsidlihcdnaehsetahgnisol\n10\nKira\nhates\nis\nhe\nlosing\ndeath\nchildish\nL\nand\nNote\n', '12\niherehtolleh\n5\nHI\nHo\nthere\nHeLLo\nhello\n']
Demo Output:
['Kira is childish and he hates losing \n', 'HI there HeLLo \n']
Note:
In sample case 2 there may be multiple accepted outputs, "HI there HeLLo" and "HI there hello" you may output any of them. | ```python
qtd = int(input())
text, resposta = input(), list()
palavras, utilizado = int(input()), set()
prefixo = dict()
for i in range(qtd):
for j in range(i+1, qtd+1):
if text[i:j][::-1] not in prefixo:
prefixo[text[i:j][::-1]] = i+j
for _ in range(palavras):
palavra = input()
palavra_lower = palavra.lower()
if len(palavra) > 1 and palavra_lower in prefixo and not palavra_lower in utilizado:
resposta.append((prefixo[palavra_lower], palavra))
utilizado.add(palavra_lower)
print([palavra for indice, palavra in sorted(resposta)])
``` | 0 | |
340 | A | The Wall | PROGRAMMING | 1,200 | [
"math"
] | null | null | Iahub and his friend Floyd have started painting a wall. Iahub is painting the wall red and Floyd is painting it pink. You can consider the wall being made of a very large number of bricks, numbered 1, 2, 3 and so on.
Iahub has the following scheme of painting: he skips *x*<=-<=1 consecutive bricks, then he paints the *x*-th one. That is, he'll paint bricks *x*, 2·*x*, 3·*x* and so on red. Similarly, Floyd skips *y*<=-<=1 consecutive bricks, then he paints the *y*-th one. Hence he'll paint bricks *y*, 2·*y*, 3·*y* and so on pink.
After painting the wall all day, the boys observed that some bricks are painted both red and pink. Iahub has a lucky number *a* and Floyd has a lucky number *b*. Boys wonder how many bricks numbered no less than *a* and no greater than *b* are painted both red and pink. This is exactly your task: compute and print the answer to the question. | The input will have a single line containing four integers in this order: *x*, *y*, *a*, *b*. (1<=≤<=*x*,<=*y*<=≤<=1000, 1<=≤<=*a*,<=*b*<=≤<=2·109, *a*<=≤<=*b*). | Output a single integer — the number of bricks numbered no less than *a* and no greater than *b* that are painted both red and pink. | [
"2 3 6 18\n"
] | [
"3"
] | Let's look at the bricks from *a* to *b* (*a* = 6, *b* = 18). The bricks colored in red are numbered 6, 8, 10, 12, 14, 16, 18. The bricks colored in pink are numbered 6, 9, 12, 15, 18. The bricks colored in both red and pink are numbered with 6, 12 and 18. | 500 | [
{
"input": "2 3 6 18",
"output": "3"
},
{
"input": "4 6 20 201",
"output": "15"
},
{
"input": "15 27 100 10000",
"output": "74"
},
{
"input": "105 60 3456 78910",
"output": "179"
},
{
"input": "1 1 1000 100000",
"output": "99001"
},
{
"input": "3 2 5 5... | 1,378,578,366 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 9 | 1,000 | 0 | I=[int(i) for i in input().split()]
x, y, a, b = I[0], I[1], I[2], I[3]
low=min(x,y)
high=max(x,y)
current=int(a/high)*high
if a%high!=0: current+=high
ans=0
while current<=b:
if current%low==0: ans+=1
current+=high
print(ans) | Title: The Wall
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Iahub and his friend Floyd have started painting a wall. Iahub is painting the wall red and Floyd is painting it pink. You can consider the wall being made of a very large number of bricks, numbered 1, 2, 3 and so on.
Iahub has the following scheme of painting: he skips *x*<=-<=1 consecutive bricks, then he paints the *x*-th one. That is, he'll paint bricks *x*, 2·*x*, 3·*x* and so on red. Similarly, Floyd skips *y*<=-<=1 consecutive bricks, then he paints the *y*-th one. Hence he'll paint bricks *y*, 2·*y*, 3·*y* and so on pink.
After painting the wall all day, the boys observed that some bricks are painted both red and pink. Iahub has a lucky number *a* and Floyd has a lucky number *b*. Boys wonder how many bricks numbered no less than *a* and no greater than *b* are painted both red and pink. This is exactly your task: compute and print the answer to the question.
Input Specification:
The input will have a single line containing four integers in this order: *x*, *y*, *a*, *b*. (1<=≤<=*x*,<=*y*<=≤<=1000, 1<=≤<=*a*,<=*b*<=≤<=2·109, *a*<=≤<=*b*).
Output Specification:
Output a single integer — the number of bricks numbered no less than *a* and no greater than *b* that are painted both red and pink.
Demo Input:
['2 3 6 18\n']
Demo Output:
['3']
Note:
Let's look at the bricks from *a* to *b* (*a* = 6, *b* = 18). The bricks colored in red are numbered 6, 8, 10, 12, 14, 16, 18. The bricks colored in pink are numbered 6, 9, 12, 15, 18. The bricks colored in both red and pink are numbered with 6, 12 and 18. | ```python
I=[int(i) for i in input().split()]
x, y, a, b = I[0], I[1], I[2], I[3]
low=min(x,y)
high=max(x,y)
current=int(a/high)*high
if a%high!=0: current+=high
ans=0
while current<=b:
if current%low==0: ans+=1
current+=high
print(ans)
``` | 0 | |
732 | A | Buy a Shovel | PROGRAMMING | 800 | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel. | The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels. | Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change. | [
"117 3\n",
"237 7\n",
"15 2\n"
] | [
"9\n",
"1\n",
"2\n"
] | In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | 500 | [
{
"input": "117 3",
"output": "9"
},
{
"input": "237 7",
"output": "1"
},
{
"input": "15 2",
"output": "2"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 9",
"output": "9"
},
{
"input": "1000 3",
"output": "1"
},
{
"input": "1000 1",
... | 1,684,598,231 | 2,147,483,647 | Python 3 | OK | TESTS | 54 | 46 | 0 | l = input()
list1 = l.split(" ")
k = int(list1[0])
r = int(list1[1])
count =0
sum = 0
flag = 0
while flag == 0 :
sum += k
count += 1
if sum%10 ==0 :
flag = 1
print (count)
else :
sum -= r
if sum % 10 == 0:
flag = 1
print(count)
else :
sum += r
| Title: Buy a Shovel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel.
Input Specification:
The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels.
Output Specification:
Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change.
Demo Input:
['117 3\n', '237 7\n', '15 2\n']
Demo Output:
['9\n', '1\n', '2\n']
Note:
In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | ```python
l = input()
list1 = l.split(" ")
k = int(list1[0])
r = int(list1[1])
count =0
sum = 0
flag = 0
while flag == 0 :
sum += k
count += 1
if sum%10 ==0 :
flag = 1
print (count)
else :
sum -= r
if sum % 10 == 0:
flag = 1
print(count)
else :
sum += r
``` | 3 | |
987 | A | Infinity Gauntlet | PROGRAMMING | 800 | [
"implementation"
] | null | null | You took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infinity Gems:
- the Power Gem of purple color, - the Time Gem of green color, - the Space Gem of blue color, - the Soul Gem of orange color, - the Reality Gem of red color, - the Mind Gem of yellow color.
Using colors of Gems you saw in the Gauntlet determine the names of absent Gems. | In the first line of input there is one integer $n$ ($0 \le n \le 6$) — the number of Gems in Infinity Gauntlet.
In next $n$ lines there are colors of Gems you saw. Words used for colors are: purple, green, blue, orange, red, yellow. It is guaranteed that all the colors are distinct. All colors are given in lowercase English letters. | In the first line output one integer $m$ ($0 \le m \le 6$) — the number of absent Gems.
Then in $m$ lines print the names of absent Gems, each on its own line. Words used for names are: Power, Time, Space, Soul, Reality, Mind. Names can be printed in any order. Keep the first letter uppercase, others lowercase. | [
"4\nred\npurple\nyellow\norange\n",
"0\n"
] | [
"2\nSpace\nTime\n",
"6\nTime\nMind\nSoul\nPower\nReality\nSpace\n"
] | In the first sample Thanos already has Reality, Power, Mind and Soul Gems, so he needs two more: Time and Space.
In the second sample Thanos doesn't have any Gems, so he needs all six. | 500 | [
{
"input": "4\nred\npurple\nyellow\norange",
"output": "2\nSpace\nTime"
},
{
"input": "0",
"output": "6\nMind\nSpace\nPower\nTime\nReality\nSoul"
},
{
"input": "6\npurple\nblue\nyellow\nred\ngreen\norange",
"output": "0"
},
{
"input": "1\npurple",
"output": "5\nTime\nReal... | 1,647,595,854 | 2,147,483,647 | Python 3 | OK | TESTS | 64 | 46 | 0 | a=int(input())
gr=0
pu=0
bl=0
ore=0
r=0
y=0
p=0
for i in range(a):
v=input()
if v=='purple':
pu=v
p+=1
if v=='green':
gr=v
p+=1
if v=='blue':
bl=v
p+=1
if v=='orange':
ore=v
p+=1
if v=='red':
r=v
p+=1
if v=='yellow':
y=v
p+=1
print(6-p)
if pu==0:
print('Power')
if gr==0:
print('Time')
if bl==0:
print('Space')
if ore==0:
print('Soul')
if r==0:
print('Reality')
if y==0:
print('Mind') | Title: Infinity Gauntlet
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infinity Gems:
- the Power Gem of purple color, - the Time Gem of green color, - the Space Gem of blue color, - the Soul Gem of orange color, - the Reality Gem of red color, - the Mind Gem of yellow color.
Using colors of Gems you saw in the Gauntlet determine the names of absent Gems.
Input Specification:
In the first line of input there is one integer $n$ ($0 \le n \le 6$) — the number of Gems in Infinity Gauntlet.
In next $n$ lines there are colors of Gems you saw. Words used for colors are: purple, green, blue, orange, red, yellow. It is guaranteed that all the colors are distinct. All colors are given in lowercase English letters.
Output Specification:
In the first line output one integer $m$ ($0 \le m \le 6$) — the number of absent Gems.
Then in $m$ lines print the names of absent Gems, each on its own line. Words used for names are: Power, Time, Space, Soul, Reality, Mind. Names can be printed in any order. Keep the first letter uppercase, others lowercase.
Demo Input:
['4\nred\npurple\nyellow\norange\n', '0\n']
Demo Output:
['2\nSpace\nTime\n', '6\nTime\nMind\nSoul\nPower\nReality\nSpace\n']
Note:
In the first sample Thanos already has Reality, Power, Mind and Soul Gems, so he needs two more: Time and Space.
In the second sample Thanos doesn't have any Gems, so he needs all six. | ```python
a=int(input())
gr=0
pu=0
bl=0
ore=0
r=0
y=0
p=0
for i in range(a):
v=input()
if v=='purple':
pu=v
p+=1
if v=='green':
gr=v
p+=1
if v=='blue':
bl=v
p+=1
if v=='orange':
ore=v
p+=1
if v=='red':
r=v
p+=1
if v=='yellow':
y=v
p+=1
print(6-p)
if pu==0:
print('Power')
if gr==0:
print('Time')
if bl==0:
print('Space')
if ore==0:
print('Soul')
if r==0:
print('Reality')
if y==0:
print('Mind')
``` | 3 | |
770 | B | Maximize Sum of Digits | PROGRAMMING | 1,300 | [
"*special",
"implementation",
"math"
] | null | null | Anton has the integer *x*. He is interested what positive integer, which doesn't exceed *x*, has the maximum sum of digits.
Your task is to help Anton and to find the integer that interests him. If there are several such integers, determine the biggest of them. | The first line contains the positive integer *x* (1<=≤<=*x*<=≤<=1018) — the integer which Anton has. | Print the positive integer which doesn't exceed *x* and has the maximum sum of digits. If there are several such integers, print the biggest of them. Printed integer must not contain leading zeros. | [
"100\n",
"48\n",
"521\n"
] | [
"99\n",
"48\n",
"499\n"
] | none | 1,000 | [
{
"input": "100",
"output": "99"
},
{
"input": "48",
"output": "48"
},
{
"input": "521",
"output": "499"
},
{
"input": "1",
"output": "1"
},
{
"input": "2",
"output": "2"
},
{
"input": "3",
"output": "3"
},
{
"input": "39188",
"output":... | 1,652,218,187 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 13 | 1,000 | 0 | x=int(input())
max=0
val=0
for i in range(x):
test=x
temp=0
while test>0:
temp+=test%10
test=test//10
if temp>max:
max=temp
val=x
x-=1
print(val) | Title: Maximize Sum of Digits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Anton has the integer *x*. He is interested what positive integer, which doesn't exceed *x*, has the maximum sum of digits.
Your task is to help Anton and to find the integer that interests him. If there are several such integers, determine the biggest of them.
Input Specification:
The first line contains the positive integer *x* (1<=≤<=*x*<=≤<=1018) — the integer which Anton has.
Output Specification:
Print the positive integer which doesn't exceed *x* and has the maximum sum of digits. If there are several such integers, print the biggest of them. Printed integer must not contain leading zeros.
Demo Input:
['100\n', '48\n', '521\n']
Demo Output:
['99\n', '48\n', '499\n']
Note:
none | ```python
x=int(input())
max=0
val=0
for i in range(x):
test=x
temp=0
while test>0:
temp+=test%10
test=test//10
if temp>max:
max=temp
val=x
x-=1
print(val)
``` | 0 | |
595 | A | Vitaly and Night | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | One day Vitaly was going home late at night and wondering: how many people aren't sleeping at that moment? To estimate, Vitaly decided to look which windows are lit in the house he was passing by at that moment.
Vitaly sees a building of *n* floors and 2·*m* windows on each floor. On each floor there are *m* flats numbered from 1 to *m*, and two consecutive windows correspond to each flat. If we number the windows from 1 to 2·*m* from left to right, then the *j*-th flat of the *i*-th floor has windows 2·*j*<=-<=1 and 2·*j* in the corresponding row of windows (as usual, floors are enumerated from the bottom). Vitaly thinks that people in the flat aren't sleeping at that moment if at least one of the windows corresponding to this flat has lights on.
Given the information about the windows of the given house, your task is to calculate the number of flats where, according to Vitaly, people aren't sleeping. | The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of floors in the house and the number of flats on each floor respectively.
Next *n* lines describe the floors from top to bottom and contain 2·*m* characters each. If the *i*-th window of the given floor has lights on, then the *i*-th character of this line is '1', otherwise it is '0'. | Print a single integer — the number of flats that have lights on in at least one window, that is, the flats where, according to Vitaly, people aren't sleeping. | [
"2 2\n0 0 0 1\n1 0 1 1\n",
"1 3\n1 1 0 1 0 0\n"
] | [
"3\n",
"2\n"
] | In the first test case the house has two floors, two flats on each floor. That is, in total there are 4 flats. The light isn't on only on the second floor in the left flat. That is, in both rooms of the flat the light is off.
In the second test case the house has one floor and the first floor has three flats. The light is on in the leftmost flat (in both windows) and in the middle flat (in one window). In the right flat the light is off. | 500 | [
{
"input": "2 2\n0 0 0 1\n1 0 1 1",
"output": "3"
},
{
"input": "1 3\n1 1 0 1 0 0",
"output": "2"
},
{
"input": "3 3\n1 1 1 1 1 1\n1 1 0 1 1 0\n1 0 0 0 1 1",
"output": "8"
},
{
"input": "1 5\n1 0 1 1 1 0 1 1 1 1",
"output": "5"
},
{
"input": "1 100\n1 1 1 1 1 1 1 ... | 1,553,883,135 | 2,147,483,647 | Python 3 | OK | TESTS | 36 | 124 | 0 | # import sys
# sys.stdin=open("input.in","r")
# sys.stdout=open("output.out","w")
l=list(map(int,input().split()))
n=l[0]
m=l[1]
count=0
for i in range(n):
p=list(map(int,input().split()))
for j in range(0,len(p)-1,2):
if(p[j]==1 or p[j+1]==1):
count+=1
print(count)
| Title: Vitaly and Night
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Vitaly was going home late at night and wondering: how many people aren't sleeping at that moment? To estimate, Vitaly decided to look which windows are lit in the house he was passing by at that moment.
Vitaly sees a building of *n* floors and 2·*m* windows on each floor. On each floor there are *m* flats numbered from 1 to *m*, and two consecutive windows correspond to each flat. If we number the windows from 1 to 2·*m* from left to right, then the *j*-th flat of the *i*-th floor has windows 2·*j*<=-<=1 and 2·*j* in the corresponding row of windows (as usual, floors are enumerated from the bottom). Vitaly thinks that people in the flat aren't sleeping at that moment if at least one of the windows corresponding to this flat has lights on.
Given the information about the windows of the given house, your task is to calculate the number of flats where, according to Vitaly, people aren't sleeping.
Input Specification:
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of floors in the house and the number of flats on each floor respectively.
Next *n* lines describe the floors from top to bottom and contain 2·*m* characters each. If the *i*-th window of the given floor has lights on, then the *i*-th character of this line is '1', otherwise it is '0'.
Output Specification:
Print a single integer — the number of flats that have lights on in at least one window, that is, the flats where, according to Vitaly, people aren't sleeping.
Demo Input:
['2 2\n0 0 0 1\n1 0 1 1\n', '1 3\n1 1 0 1 0 0\n']
Demo Output:
['3\n', '2\n']
Note:
In the first test case the house has two floors, two flats on each floor. That is, in total there are 4 flats. The light isn't on only on the second floor in the left flat. That is, in both rooms of the flat the light is off.
In the second test case the house has one floor and the first floor has three flats. The light is on in the leftmost flat (in both windows) and in the middle flat (in one window). In the right flat the light is off. | ```python
# import sys
# sys.stdin=open("input.in","r")
# sys.stdout=open("output.out","w")
l=list(map(int,input().split()))
n=l[0]
m=l[1]
count=0
for i in range(n):
p=list(map(int,input().split()))
for j in range(0,len(p)-1,2):
if(p[j]==1 or p[j+1]==1):
count+=1
print(count)
``` | 3 | |
981 | C | Useful Decomposition | PROGRAMMING | 1,400 | [
"implementation",
"trees"
] | null | null | Ramesses knows a lot about problems involving trees (undirected connected graphs without cycles)!
He created a new useful tree decomposition, but he does not know how to construct it, so he asked you for help!
The decomposition is the splitting the edges of the tree in some simple paths in such a way that each two paths have at least one common vertex. Each edge of the tree should be in exactly one path.
Help Remesses, find such a decomposition of the tree or derermine that there is no such decomposition. | The first line contains a single integer $n$ ($2 \leq n \leq 10^{5}$) the number of nodes in the tree.
Each of the next $n<=-<=1$ lines contains two integers $a_i$ and $b_i$ ($1 \leq a_i, b_i \leq n$, $a_i \neq b_i$) — the edges of the tree. It is guaranteed that the given edges form a tree. | If there are no decompositions, print the only line containing "No".
Otherwise in the first line print "Yes", and in the second line print the number of paths in the decomposition $m$.
Each of the next $m$ lines should contain two integers $u_i$, $v_i$ ($1 \leq u_i, v_i \leq n$, $u_i \neq v_i$) denoting that one of the paths in the decomposition is the simple path between nodes $u_i$ and $v_i$.
Each pair of paths in the decomposition should have at least one common vertex, and each edge of the tree should be presented in exactly one path. You can print the paths and the ends of each path in arbitrary order.
If there are multiple decompositions, print any. | [
"4\n1 2\n2 3\n3 4\n",
"6\n1 2\n2 3\n3 4\n2 5\n3 6\n",
"5\n1 2\n1 3\n1 4\n1 5\n"
] | [
"Yes\n1\n1 4\n",
"No\n",
"Yes\n4\n1 2\n1 3\n1 4\n1 5\n"
] | The tree from the first example is shown on the picture below: <img class="tex-graphics" src="https://espresso.codeforces.com/9eb4b4c143d3ad267ae05d1e43341bd368b3088b.png" style="max-width: 100.0%;max-height: 100.0%;"/> The number next to each edge corresponds to the path number in the decomposition. It is easy to see that this decomposition suits the required conditions.
The tree from the second example is shown on the picture below: <img class="tex-graphics" src="https://espresso.codeforces.com/20704b97182d9bcde3321c00a16edcae4d772d93.png" style="max-width: 100.0%;max-height: 100.0%;"/> We can show that there are no valid decompositions of this tree.
The tree from the third example is shown on the picture below: <img class="tex-graphics" src="https://espresso.codeforces.com/357ff9496a4ed4746401160ee6ee63f5d57d81b9.png" style="max-width: 100.0%;max-height: 100.0%;"/> The number next to each edge corresponds to the path number in the decomposition. It is easy to see that this decomposition suits the required conditions. | 1,250 | [
{
"input": "4\n1 2\n2 3\n3 4",
"output": "Yes\n1\n1 4"
},
{
"input": "6\n1 2\n2 3\n3 4\n2 5\n3 6",
"output": "No"
},
{
"input": "5\n1 2\n1 3\n1 4\n1 5",
"output": "Yes\n4\n1 2\n1 3\n1 4\n1 5"
},
{
"input": "2\n1 2",
"output": "Yes\n1\n1 2"
},
{
"input": "8\n1 2\n1... | 1,527,435,141 | 2,541 | PyPy 3 | OK | TESTS | 47 | 936 | 9,420,800 | n = int(input())
orders = [0 for i in range(n)]
for i in range(n-1):
a, b = [int(j) -1 for j in input().split()]
orders[a] += 1
orders[b] += 1
roots = []
leafs = []
for i, x in enumerate(orders):
if x > 2:
roots.append(i)
elif x == 2:
pass
elif x == 1:
leafs.append(i)
else:
raise Exception('woww')
if len(roots) > 1:
print('No')
elif len(roots) == 0:
print('Yes')
print('1')
print(' '.join([str(l+1) for l in leafs]))
elif len(roots) == 1:
print('Yes')
print(str(len(leafs)))
root = str(roots[0] + 1)
for l in leafs:
print(root, str(l+1))
else:
raise Exception('woww')
| Title: Useful Decomposition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Ramesses knows a lot about problems involving trees (undirected connected graphs without cycles)!
He created a new useful tree decomposition, but he does not know how to construct it, so he asked you for help!
The decomposition is the splitting the edges of the tree in some simple paths in such a way that each two paths have at least one common vertex. Each edge of the tree should be in exactly one path.
Help Remesses, find such a decomposition of the tree or derermine that there is no such decomposition.
Input Specification:
The first line contains a single integer $n$ ($2 \leq n \leq 10^{5}$) the number of nodes in the tree.
Each of the next $n<=-<=1$ lines contains two integers $a_i$ and $b_i$ ($1 \leq a_i, b_i \leq n$, $a_i \neq b_i$) — the edges of the tree. It is guaranteed that the given edges form a tree.
Output Specification:
If there are no decompositions, print the only line containing "No".
Otherwise in the first line print "Yes", and in the second line print the number of paths in the decomposition $m$.
Each of the next $m$ lines should contain two integers $u_i$, $v_i$ ($1 \leq u_i, v_i \leq n$, $u_i \neq v_i$) denoting that one of the paths in the decomposition is the simple path between nodes $u_i$ and $v_i$.
Each pair of paths in the decomposition should have at least one common vertex, and each edge of the tree should be presented in exactly one path. You can print the paths and the ends of each path in arbitrary order.
If there are multiple decompositions, print any.
Demo Input:
['4\n1 2\n2 3\n3 4\n', '6\n1 2\n2 3\n3 4\n2 5\n3 6\n', '5\n1 2\n1 3\n1 4\n1 5\n']
Demo Output:
['Yes\n1\n1 4\n', 'No\n', 'Yes\n4\n1 2\n1 3\n1 4\n1 5\n']
Note:
The tree from the first example is shown on the picture below: <img class="tex-graphics" src="https://espresso.codeforces.com/9eb4b4c143d3ad267ae05d1e43341bd368b3088b.png" style="max-width: 100.0%;max-height: 100.0%;"/> The number next to each edge corresponds to the path number in the decomposition. It is easy to see that this decomposition suits the required conditions.
The tree from the second example is shown on the picture below: <img class="tex-graphics" src="https://espresso.codeforces.com/20704b97182d9bcde3321c00a16edcae4d772d93.png" style="max-width: 100.0%;max-height: 100.0%;"/> We can show that there are no valid decompositions of this tree.
The tree from the third example is shown on the picture below: <img class="tex-graphics" src="https://espresso.codeforces.com/357ff9496a4ed4746401160ee6ee63f5d57d81b9.png" style="max-width: 100.0%;max-height: 100.0%;"/> The number next to each edge corresponds to the path number in the decomposition. It is easy to see that this decomposition suits the required conditions. | ```python
n = int(input())
orders = [0 for i in range(n)]
for i in range(n-1):
a, b = [int(j) -1 for j in input().split()]
orders[a] += 1
orders[b] += 1
roots = []
leafs = []
for i, x in enumerate(orders):
if x > 2:
roots.append(i)
elif x == 2:
pass
elif x == 1:
leafs.append(i)
else:
raise Exception('woww')
if len(roots) > 1:
print('No')
elif len(roots) == 0:
print('Yes')
print('1')
print(' '.join([str(l+1) for l in leafs]))
elif len(roots) == 1:
print('Yes')
print(str(len(leafs)))
root = str(roots[0] + 1)
for l in leafs:
print(root, str(l+1))
else:
raise Exception('woww')
``` | 3 | |
911 | F | Tree Destruction | PROGRAMMING | 2,400 | [
"constructive algorithms",
"dfs and similar",
"graphs",
"greedy",
"trees"
] | null | null | You are given an unweighted tree with *n* vertices. Then *n*<=-<=1 following operations are applied to the tree. A single operation consists of the following steps:
1. choose two leaves; 1. add the length of the simple path between them to the answer; 1. remove one of the chosen leaves from the tree.
Initial answer (before applying operations) is 0. Obviously after *n*<=-<=1 such operations the tree will consist of a single vertex.
Calculate the maximal possible answer you can achieve, and construct a sequence of operations that allows you to achieve this answer! | The first line contains one integer number *n* (2<=≤<=*n*<=≤<=2·105) — the number of vertices in the tree.
Next *n*<=-<=1 lines describe the edges of the tree in form *a**i*,<=*b**i* (1<=≤<=*a**i*, *b**i*<=≤<=*n*, *a**i*<=≠<=*b**i*). It is guaranteed that given graph is a tree. | In the first line print one integer number — maximal possible answer.
In the next *n*<=-<=1 lines print the operations in order of their applying in format *a**i*,<=*b**i*,<=*c**i*, where *a**i*,<=*b**i* — pair of the leaves that are chosen in the current operation (1<=≤<=*a**i*, *b**i*<=≤<=*n*), *c**i* (1<=≤<=*c**i*<=≤<=*n*, *c**i*<==<=*a**i* or *c**i*<==<=*b**i*) — choosen leaf that is removed from the tree in the current operation.
See the examples for better understanding. | [
"3\n1 2\n1 3\n",
"5\n1 2\n1 3\n2 4\n2 5\n"
] | [
"3\n2 3 3\n2 1 1\n",
"9\n3 5 5\n4 3 3\n4 1 1\n4 2 2\n"
] | none | 0 | [
{
"input": "3\n1 2\n1 3",
"output": "3\n2 3 3\n2 1 1"
},
{
"input": "5\n1 2\n1 3\n2 4\n2 5",
"output": "9\n3 5 5\n4 3 3\n4 1 1\n4 2 2"
},
{
"input": "2\n1 2",
"output": "1\n2 1 1"
},
{
"input": "4\n1 3\n1 4\n1 2",
"output": "5\n3 4 4\n2 3 3\n2 1 1"
},
{
"input": "... | 1,693,562,844 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | print("_RANDOM_GUESS_1693562844.127716")# 1693562844.127733 | Title: Tree Destruction
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given an unweighted tree with *n* vertices. Then *n*<=-<=1 following operations are applied to the tree. A single operation consists of the following steps:
1. choose two leaves; 1. add the length of the simple path between them to the answer; 1. remove one of the chosen leaves from the tree.
Initial answer (before applying operations) is 0. Obviously after *n*<=-<=1 such operations the tree will consist of a single vertex.
Calculate the maximal possible answer you can achieve, and construct a sequence of operations that allows you to achieve this answer!
Input Specification:
The first line contains one integer number *n* (2<=≤<=*n*<=≤<=2·105) — the number of vertices in the tree.
Next *n*<=-<=1 lines describe the edges of the tree in form *a**i*,<=*b**i* (1<=≤<=*a**i*, *b**i*<=≤<=*n*, *a**i*<=≠<=*b**i*). It is guaranteed that given graph is a tree.
Output Specification:
In the first line print one integer number — maximal possible answer.
In the next *n*<=-<=1 lines print the operations in order of their applying in format *a**i*,<=*b**i*,<=*c**i*, where *a**i*,<=*b**i* — pair of the leaves that are chosen in the current operation (1<=≤<=*a**i*, *b**i*<=≤<=*n*), *c**i* (1<=≤<=*c**i*<=≤<=*n*, *c**i*<==<=*a**i* or *c**i*<==<=*b**i*) — choosen leaf that is removed from the tree in the current operation.
See the examples for better understanding.
Demo Input:
['3\n1 2\n1 3\n', '5\n1 2\n1 3\n2 4\n2 5\n']
Demo Output:
['3\n2 3 3\n2 1 1\n', '9\n3 5 5\n4 3 3\n4 1 1\n4 2 2\n']
Note:
none | ```python
print("_RANDOM_GUESS_1693562844.127716")# 1693562844.127733
``` | 0 | |
61 | A | Ultra-Fast Mathematician | PROGRAMMING | 800 | [
"implementation"
] | A. Ultra-Fast Mathematician | 2 | 256 | Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate. | There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100. | Write one line — the corresponding answer. Do not omit the leading 0s. | [
"1010100\n0100101\n",
"000\n111\n",
"1110\n1010\n",
"01110\n01100\n"
] | [
"1110001\n",
"111\n",
"0100\n",
"00010\n"
] | none | 500 | [
{
"input": "1010100\n0100101",
"output": "1110001"
},
{
"input": "000\n111",
"output": "111"
},
{
"input": "1110\n1010",
"output": "0100"
},
{
"input": "01110\n01100",
"output": "00010"
},
{
"input": "011101\n000001",
"output": "011100"
},
{
"input": "... | 1,591,246,644 | 2,147,483,647 | Python 3 | OK | TESTS | 102 | 109 | 0 | def ultra(n,m):
ans=''
for i in range(len(n)):
if(n[i]==m[i]):
ans+='0'
else:
ans+='1'
return ans
if __name__ == "__main__":
n=input()
m=input()
print(ultra(n,m)) | Title: Ultra-Fast Mathematician
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate.
Input Specification:
There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100.
Output Specification:
Write one line — the corresponding answer. Do not omit the leading 0s.
Demo Input:
['1010100\n0100101\n', '000\n111\n', '1110\n1010\n', '01110\n01100\n']
Demo Output:
['1110001\n', '111\n', '0100\n', '00010\n']
Note:
none | ```python
def ultra(n,m):
ans=''
for i in range(len(n)):
if(n[i]==m[i]):
ans+='0'
else:
ans+='1'
return ans
if __name__ == "__main__":
n=input()
m=input()
print(ultra(n,m))
``` | 3.97275 |
41 | A | Translation | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Translation | 2 | 256 | The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly. | The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols. | If the word *t* is a word *s*, written reversely, print YES, otherwise print NO. | [
"code\nedoc\n",
"abb\naba\n",
"code\ncode\n"
] | [
"YES\n",
"NO\n",
"NO\n"
] | none | 500 | [
{
"input": "code\nedoc",
"output": "YES"
},
{
"input": "abb\naba",
"output": "NO"
},
{
"input": "code\ncode",
"output": "NO"
},
{
"input": "abacaba\nabacaba",
"output": "YES"
},
{
"input": "q\nq",
"output": "YES"
},
{
"input": "asrgdfngfnmfgnhweratgjkk... | 1,674,719,877 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 92 | 0 | t = list(input())
s = input()
i=0
j=len(t)-1
while(i<j):
t[i],t[j] = t[j],t[i]
i=i+1
j=j-1
x = "".join(t)
if(x==s):
print("YES")
else:
print("NO")
| Title: Translation
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The translation from the Berland language into the Birland language is not an easy task. Those languages are very similar: a berlandish word differs from a birlandish word with the same meaning a little: it is spelled (and pronounced) reversely. For example, a Berlandish word code corresponds to a Birlandish word edoc. However, it's easy to make a mistake during the «translation». Vasya translated word *s* from Berlandish into Birlandish as *t*. Help him: find out if he translated the word correctly.
Input Specification:
The first line contains word *s*, the second line contains word *t*. The words consist of lowercase Latin letters. The input data do not consist unnecessary spaces. The words are not empty and their lengths do not exceed 100 symbols.
Output Specification:
If the word *t* is a word *s*, written reversely, print YES, otherwise print NO.
Demo Input:
['code\nedoc\n', 'abb\naba\n', 'code\ncode\n']
Demo Output:
['YES\n', 'NO\n', 'NO\n']
Note:
none | ```python
t = list(input())
s = input()
i=0
j=len(t)-1
while(i<j):
t[i],t[j] = t[j],t[i]
i=i+1
j=j-1
x = "".join(t)
if(x==s):
print("YES")
else:
print("NO")
``` | 3.977 |
365 | A | Good Number | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | Let's call a number *k*-good if it contains all digits not exceeding *k* (0,<=...,<=*k*). You've got a number *k* and an array *a* containing *n* numbers. Find out how many *k*-good numbers are in *a* (count each number every time it occurs in array *a*). | The first line contains integers *n* and *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=9). The *i*-th of the following *n* lines contains integer *a**i* without leading zeroes (1<=≤<=*a**i*<=≤<=109). | Print a single integer — the number of *k*-good numbers in *a*. | [
"10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n",
"2 1\n1\n10\n"
] | [
"10\n",
"1\n"
] | none | 500 | [
{
"input": "10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560",
"output": "10"
},
{
"input": "2 1\n1\n10",
"output": "1"
},
{
"input": "1 0\n1000000000",
"output": "1"
},
{
"input": "1 1\n1000000000",
"output": "1"
},
{
... | 1,638,899,914 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 31 | 0 | n,k=map(int,input().split())
good=0
s=list(range(0,k+1))
for i in range(n):
lst=list(map(int,input()))
tem=list(sorted(list(set(lst))))
nums=[]
if sum(nums)==s and lst.count(0)>1:
good+=1
print(good) | Title: Good Number
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Let's call a number *k*-good if it contains all digits not exceeding *k* (0,<=...,<=*k*). You've got a number *k* and an array *a* containing *n* numbers. Find out how many *k*-good numbers are in *a* (count each number every time it occurs in array *a*).
Input Specification:
The first line contains integers *n* and *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=9). The *i*-th of the following *n* lines contains integer *a**i* without leading zeroes (1<=≤<=*a**i*<=≤<=109).
Output Specification:
Print a single integer — the number of *k*-good numbers in *a*.
Demo Input:
['10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n', '2 1\n1\n10\n']
Demo Output:
['10\n', '1\n']
Note:
none | ```python
n,k=map(int,input().split())
good=0
s=list(range(0,k+1))
for i in range(n):
lst=list(map(int,input()))
tem=list(sorted(list(set(lst))))
nums=[]
if sum(nums)==s and lst.count(0)>1:
good+=1
print(good)
``` | 0 | |
747 | B | Mammoth's Genome Decoding | PROGRAMMING | 900 | [
"implementation",
"strings"
] | null | null | The process of mammoth's genome decoding in Berland comes to its end!
One of the few remaining tasks is to restore unrecognized nucleotides in a found chain *s*. Each nucleotide is coded with a capital letter of English alphabet: 'A', 'C', 'G' or 'T'. Unrecognized nucleotides are coded by a question mark '?'. Thus, *s* is a string consisting of letters 'A', 'C', 'G', 'T' and characters '?'.
It is known that the number of nucleotides of each of the four types in the decoded genome of mammoth in Berland should be equal.
Your task is to decode the genome and replace each unrecognized nucleotide with one of the four types so that the number of nucleotides of each of the four types becomes equal. | The first line contains the integer *n* (4<=≤<=*n*<=≤<=255) — the length of the genome.
The second line contains the string *s* of length *n* — the coded genome. It consists of characters 'A', 'C', 'G', 'T' and '?'. | If it is possible to decode the genome, print it. If there are multiple answer, print any of them. If it is not possible, print three equals signs in a row: "===" (without quotes). | [
"8\nAG?C??CT\n",
"4\nAGCT\n",
"6\n????G?\n",
"4\nAA??\n"
] | [
"AGACGTCT\n",
"AGCT\n",
"===\n",
"===\n"
] | In the first example you can replace the first question mark with the letter 'A', the second question mark with the letter 'G', the third question mark with the letter 'T', then each nucleotide in the genome would be presented twice.
In the second example the genome is already decoded correctly and each nucleotide is exactly once in it.
In the third and the fourth examples it is impossible to decode the genom. | 1,000 | [
{
"input": "8\nAG?C??CT",
"output": "AGACGTCT"
},
{
"input": "4\nAGCT",
"output": "AGCT"
},
{
"input": "6\n????G?",
"output": "==="
},
{
"input": "4\nAA??",
"output": "==="
},
{
"input": "4\n????",
"output": "ACGT"
},
{
"input": "252\n???????GCG??T??TT... | 1,641,066,755 | 2,147,483,647 | PyPy 3 | RUNTIME_ERROR | TESTS | 4 | 92 | 2,252,800 | n = int(input())
s = input()
l = len(s)
count = 0
count1, count2, count3, count4 = 0, 0, 0, 0
for i in range(0, l):
if s[i] == 'A':
count1 = count1+1
if s[i] == 'C':
count2 = count2+1
if s[i] == 'G':
count3 = count3+1
if s[i] == 'T':
count4 = count4+1
if s[i] == '?':
count = count+1
max1 = max(count1, max(count2, max(count3, count4)))
# print("the value of max is "+str(max1)+" "+str(count1)+" "+str(count2)+" "+str(count3)+" "+str(count4))
flag = 0
for i in range(0, l):
if s[i] == '?':
if count1 != max1:
s=s.replace('?','A',1)
count = count-1
count1 = count1+1
elif count2 != max1:
s=s.replace('?','C',1)
count = count-1
count2 = count2+1
elif count3 != max1:
s=s.replace('?','G',1)
count = count-1
count3 = count3+1
elif count4 != max1:
s=s.replace('?','T',1)
count = count-1
count4 = count4+1
else:
if count % 4 == 0 and count1==count2==count3==count4:
flag = 1
if count == 0 and count1==count2==count3==count4:
print(s)
flag = 1
if flag == 1:
break
if flag == 0:
print("===")
elif flag == 1 and count != 0:
m = count/4
s=s.replace('?','A',m)
s=s.replace('?','C',m)
s=s.replace('?','G',m)
s=s.replace('?','T',m)
print(s)
| Title: Mammoth's Genome Decoding
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The process of mammoth's genome decoding in Berland comes to its end!
One of the few remaining tasks is to restore unrecognized nucleotides in a found chain *s*. Each nucleotide is coded with a capital letter of English alphabet: 'A', 'C', 'G' or 'T'. Unrecognized nucleotides are coded by a question mark '?'. Thus, *s* is a string consisting of letters 'A', 'C', 'G', 'T' and characters '?'.
It is known that the number of nucleotides of each of the four types in the decoded genome of mammoth in Berland should be equal.
Your task is to decode the genome and replace each unrecognized nucleotide with one of the four types so that the number of nucleotides of each of the four types becomes equal.
Input Specification:
The first line contains the integer *n* (4<=≤<=*n*<=≤<=255) — the length of the genome.
The second line contains the string *s* of length *n* — the coded genome. It consists of characters 'A', 'C', 'G', 'T' and '?'.
Output Specification:
If it is possible to decode the genome, print it. If there are multiple answer, print any of them. If it is not possible, print three equals signs in a row: "===" (without quotes).
Demo Input:
['8\nAG?C??CT\n', '4\nAGCT\n', '6\n????G?\n', '4\nAA??\n']
Demo Output:
['AGACGTCT\n', 'AGCT\n', '===\n', '===\n']
Note:
In the first example you can replace the first question mark with the letter 'A', the second question mark with the letter 'G', the third question mark with the letter 'T', then each nucleotide in the genome would be presented twice.
In the second example the genome is already decoded correctly and each nucleotide is exactly once in it.
In the third and the fourth examples it is impossible to decode the genom. | ```python
n = int(input())
s = input()
l = len(s)
count = 0
count1, count2, count3, count4 = 0, 0, 0, 0
for i in range(0, l):
if s[i] == 'A':
count1 = count1+1
if s[i] == 'C':
count2 = count2+1
if s[i] == 'G':
count3 = count3+1
if s[i] == 'T':
count4 = count4+1
if s[i] == '?':
count = count+1
max1 = max(count1, max(count2, max(count3, count4)))
# print("the value of max is "+str(max1)+" "+str(count1)+" "+str(count2)+" "+str(count3)+" "+str(count4))
flag = 0
for i in range(0, l):
if s[i] == '?':
if count1 != max1:
s=s.replace('?','A',1)
count = count-1
count1 = count1+1
elif count2 != max1:
s=s.replace('?','C',1)
count = count-1
count2 = count2+1
elif count3 != max1:
s=s.replace('?','G',1)
count = count-1
count3 = count3+1
elif count4 != max1:
s=s.replace('?','T',1)
count = count-1
count4 = count4+1
else:
if count % 4 == 0 and count1==count2==count3==count4:
flag = 1
if count == 0 and count1==count2==count3==count4:
print(s)
flag = 1
if flag == 1:
break
if flag == 0:
print("===")
elif flag == 1 and count != 0:
m = count/4
s=s.replace('?','A',m)
s=s.replace('?','C',m)
s=s.replace('?','G',m)
s=s.replace('?','T',m)
print(s)
``` | -1 | |
932 | B | Recursive Queries | PROGRAMMING | 1,300 | [
"binary search",
"data structures",
"dfs and similar"
] | null | null | Let us define two functions *f* and *g* on positive integer numbers.
You need to process *Q* queries. In each query, you will be given three integers *l*, *r* and *k*. You need to print the number of integers *x* between *l* and *r* inclusive, such that *g*(*x*)<==<=*k*. | The first line of the input contains an integer *Q* (1<=≤<=*Q*<=≤<=2<=×<=105) representing the number of queries.
*Q* lines follow, each of which contains 3 integers *l*, *r* and *k* (1<=≤<=*l*<=≤<=*r*<=≤<=106,<=1<=≤<=*k*<=≤<=9). | For each query, print a single line containing the answer for that query. | [
"4\n22 73 9\n45 64 6\n47 55 7\n2 62 4\n",
"4\n82 94 6\n56 67 4\n28 59 9\n39 74 4\n"
] | [
"1\n4\n0\n8\n",
"3\n1\n1\n5\n"
] | In the first example:
- *g*(33) = 9 as *g*(33) = *g*(3 × 3) = *g*(9) = 9 - *g*(47) = *g*(48) = *g*(60) = *g*(61) = 6 - There are no such integers between 47 and 55. - *g*(4) = *g*(14) = *g*(22) = *g*(27) = *g*(39) = *g*(40) = *g*(41) = *g*(58) = 4 | 1,000 | [
{
"input": "4\n22 73 9\n45 64 6\n47 55 7\n2 62 4",
"output": "1\n4\n0\n8"
},
{
"input": "4\n82 94 6\n56 67 4\n28 59 9\n39 74 4",
"output": "3\n1\n1\n5"
}
] | 1,600,851,586 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 0 | 2,000 | 21,094,400 | from collections import defaultdict
def product_of_digits(x):
pr = 1
while x:
t = x%10
pr = pr*max(t,1)
x = x//10
return pr
d = defaultdict(list)
Q = int(input())
for i in range(1,10**6+1):
s = product_of_digits(i)
d[s].append(i)
# print(d)
def Binary_Search_l(array,x):
l = 0
r = len(array)-1
while r >= l:
if array[(r+l)//2] >= x:
r = (l+r)//2-1
else:
l = (l+r)//2+1
return l
def Binary_Search_r(array,x):
l = 0
r = len(array)-1
while r > l:
if array[(r+l)//2] <= x:
l = (l+r)//2+1
else:
r = (l+r)//2-1
return r
def DFS(d,x,l,r):
ans = []
visited = set()
stack = [x]
while len(stack):
temp = stack.pop()
visited.add(temp)
if l <= temp and r >= temp:
ans.append(temp)
for j in d[temp]:
if j not in visited:
stack.append(j)
return ans
for i in range(Q):
l,r,k = map(int,input().split())
visited = list(DFS(d,k,l,r))
visited.sort()
print(len(visited)) | Title: Recursive Queries
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Let us define two functions *f* and *g* on positive integer numbers.
You need to process *Q* queries. In each query, you will be given three integers *l*, *r* and *k*. You need to print the number of integers *x* between *l* and *r* inclusive, such that *g*(*x*)<==<=*k*.
Input Specification:
The first line of the input contains an integer *Q* (1<=≤<=*Q*<=≤<=2<=×<=105) representing the number of queries.
*Q* lines follow, each of which contains 3 integers *l*, *r* and *k* (1<=≤<=*l*<=≤<=*r*<=≤<=106,<=1<=≤<=*k*<=≤<=9).
Output Specification:
For each query, print a single line containing the answer for that query.
Demo Input:
['4\n22 73 9\n45 64 6\n47 55 7\n2 62 4\n', '4\n82 94 6\n56 67 4\n28 59 9\n39 74 4\n']
Demo Output:
['1\n4\n0\n8\n', '3\n1\n1\n5\n']
Note:
In the first example:
- *g*(33) = 9 as *g*(33) = *g*(3 × 3) = *g*(9) = 9 - *g*(47) = *g*(48) = *g*(60) = *g*(61) = 6 - There are no such integers between 47 and 55. - *g*(4) = *g*(14) = *g*(22) = *g*(27) = *g*(39) = *g*(40) = *g*(41) = *g*(58) = 4 | ```python
from collections import defaultdict
def product_of_digits(x):
pr = 1
while x:
t = x%10
pr = pr*max(t,1)
x = x//10
return pr
d = defaultdict(list)
Q = int(input())
for i in range(1,10**6+1):
s = product_of_digits(i)
d[s].append(i)
# print(d)
def Binary_Search_l(array,x):
l = 0
r = len(array)-1
while r >= l:
if array[(r+l)//2] >= x:
r = (l+r)//2-1
else:
l = (l+r)//2+1
return l
def Binary_Search_r(array,x):
l = 0
r = len(array)-1
while r > l:
if array[(r+l)//2] <= x:
l = (l+r)//2+1
else:
r = (l+r)//2-1
return r
def DFS(d,x,l,r):
ans = []
visited = set()
stack = [x]
while len(stack):
temp = stack.pop()
visited.add(temp)
if l <= temp and r >= temp:
ans.append(temp)
for j in d[temp]:
if j not in visited:
stack.append(j)
return ans
for i in range(Q):
l,r,k = map(int,input().split())
visited = list(DFS(d,k,l,r))
visited.sort()
print(len(visited))
``` | 0 | |
785 | C | Anton and Fairy Tale | PROGRAMMING | 1,600 | [
"binary search",
"math"
] | null | null | Anton likes to listen to fairy tales, especially when Danik, Anton's best friend, tells them. Right now Danik tells Anton a fairy tale:
"Once upon a time, there lived an emperor. He was very rich and had much grain. One day he ordered to build a huge barn to put there all his grain. Best builders were building that barn for three days and three nights. But they overlooked and there remained a little hole in the barn, from which every day sparrows came through. Here flew a sparrow, took a grain and flew away..."
More formally, the following takes place in the fairy tale. At the beginning of the first day the barn with the capacity of *n* grains was full. Then, every day (starting with the first day) the following happens:
- *m* grains are brought to the barn. If *m* grains doesn't fit to the barn, the barn becomes full and the grains that doesn't fit are brought back (in this problem we can assume that the grains that doesn't fit to the barn are not taken into account). - Sparrows come and eat grain. In the *i*-th day *i* sparrows come, that is on the first day one sparrow come, on the second day two sparrows come and so on. Every sparrow eats one grain. If the barn is empty, a sparrow eats nothing.
Anton is tired of listening how Danik describes every sparrow that eats grain from the barn. Anton doesn't know when the fairy tale ends, so he asked you to determine, by the end of which day the barn will become empty for the first time. Help Anton and write a program that will determine the number of that day! | The only line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1018) — the capacity of the barn and the number of grains that are brought every day. | Output one integer — the number of the day when the barn will become empty for the first time. Days are numbered starting with one. | [
"5 2\n",
"8 1\n"
] | [
"4\n",
"5\n"
] | In the first sample the capacity of the barn is five grains and two grains are brought every day. The following happens:
- At the beginning of the first day grain is brought to the barn. It's full, so nothing happens. - At the end of the first day one sparrow comes and eats one grain, so 5 - 1 = 4 grains remain. - At the beginning of the second day two grains are brought. The barn becomes full and one grain doesn't fit to it. - At the end of the second day two sparrows come. 5 - 2 = 3 grains remain. - At the beginning of the third day two grains are brought. The barn becomes full again. - At the end of the third day three sparrows come and eat grain. 5 - 3 = 2 grains remain. - At the beginning of the fourth day grain is brought again. 2 + 2 = 4 grains remain. - At the end of the fourth day four sparrows come and eat grain. 4 - 4 = 0 grains remain. The barn is empty.
So the answer is 4, because by the end of the fourth day the barn becomes empty. | 1,500 | [
{
"input": "5 2",
"output": "4"
},
{
"input": "8 1",
"output": "5"
},
{
"input": "32 5",
"output": "12"
},
{
"input": "1024 1024",
"output": "1024"
},
{
"input": "58044 52909",
"output": "53010"
},
{
"input": "996478063 658866858",
"output": "65889... | 1,688,032,821 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 1 | 514 | 25,600,000 | import os
import sys
import math
import random
import datetime
import json
import re
import sqlite3
import time
import csv
import smtplib
import hashlib
import threading
import logging
import tkinter as tk
def find_empty_day(n, m):
day = 1 # Начинаем с первого дня
grains = n # Изначальное количество зерна в амбаре
while grains > 0:
grains -= day # Вычитаем количество зерна, которое съели воробьи в текущий день
if grains <= 0:
break # Если зерна больше нет, прерываем цикл
grains += m # Добавляем новое зерно в амбар
day += 1 # Переходим к следующему дню
return day - 1 # Вычитаем 1, чтобы получить номер дня, когда амбар стал пустым
# Вводим вместимость амбара и количество зерна, подвозимое ежедневно
n, m = map(int, input().split())
# Находим номер дня, когда амбар станет пустым
empty_day = find_empty_day(n, m)
# Выводим результат
print(empty_day)
| Title: Anton and Fairy Tale
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Anton likes to listen to fairy tales, especially when Danik, Anton's best friend, tells them. Right now Danik tells Anton a fairy tale:
"Once upon a time, there lived an emperor. He was very rich and had much grain. One day he ordered to build a huge barn to put there all his grain. Best builders were building that barn for three days and three nights. But they overlooked and there remained a little hole in the barn, from which every day sparrows came through. Here flew a sparrow, took a grain and flew away..."
More formally, the following takes place in the fairy tale. At the beginning of the first day the barn with the capacity of *n* grains was full. Then, every day (starting with the first day) the following happens:
- *m* grains are brought to the barn. If *m* grains doesn't fit to the barn, the barn becomes full and the grains that doesn't fit are brought back (in this problem we can assume that the grains that doesn't fit to the barn are not taken into account). - Sparrows come and eat grain. In the *i*-th day *i* sparrows come, that is on the first day one sparrow come, on the second day two sparrows come and so on. Every sparrow eats one grain. If the barn is empty, a sparrow eats nothing.
Anton is tired of listening how Danik describes every sparrow that eats grain from the barn. Anton doesn't know when the fairy tale ends, so he asked you to determine, by the end of which day the barn will become empty for the first time. Help Anton and write a program that will determine the number of that day!
Input Specification:
The only line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1018) — the capacity of the barn and the number of grains that are brought every day.
Output Specification:
Output one integer — the number of the day when the barn will become empty for the first time. Days are numbered starting with one.
Demo Input:
['5 2\n', '8 1\n']
Demo Output:
['4\n', '5\n']
Note:
In the first sample the capacity of the barn is five grains and two grains are brought every day. The following happens:
- At the beginning of the first day grain is brought to the barn. It's full, so nothing happens. - At the end of the first day one sparrow comes and eats one grain, so 5 - 1 = 4 grains remain. - At the beginning of the second day two grains are brought. The barn becomes full and one grain doesn't fit to it. - At the end of the second day two sparrows come. 5 - 2 = 3 grains remain. - At the beginning of the third day two grains are brought. The barn becomes full again. - At the end of the third day three sparrows come and eat grain. 5 - 3 = 2 grains remain. - At the beginning of the fourth day grain is brought again. 2 + 2 = 4 grains remain. - At the end of the fourth day four sparrows come and eat grain. 4 - 4 = 0 grains remain. The barn is empty.
So the answer is 4, because by the end of the fourth day the barn becomes empty. | ```python
import os
import sys
import math
import random
import datetime
import json
import re
import sqlite3
import time
import csv
import smtplib
import hashlib
import threading
import logging
import tkinter as tk
def find_empty_day(n, m):
day = 1 # Начинаем с первого дня
grains = n # Изначальное количество зерна в амбаре
while grains > 0:
grains -= day # Вычитаем количество зерна, которое съели воробьи в текущий день
if grains <= 0:
break # Если зерна больше нет, прерываем цикл
grains += m # Добавляем новое зерно в амбар
day += 1 # Переходим к следующему дню
return day - 1 # Вычитаем 1, чтобы получить номер дня, когда амбар стал пустым
# Вводим вместимость амбара и количество зерна, подвозимое ежедневно
n, m = map(int, input().split())
# Находим номер дня, когда амбар станет пустым
empty_day = find_empty_day(n, m)
# Выводим результат
print(empty_day)
``` | 0 | |
34 | B | Sale | PROGRAMMING | 900 | [
"greedy",
"sortings"
] | B. Sale | 2 | 256 | Once Bob got to a sale of old TV sets. There were *n* TV sets at that sale. TV set with index *i* costs *a**i* bellars. Some TV sets have a negative price — their owners are ready to pay Bob if he buys their useless apparatus. Bob can «buy» any TV sets he wants. Though he's very strong, Bob can carry at most *m* TV sets, and he has no desire to go to the sale for the second time. Please, help Bob find out the maximum sum of money that he can earn. | The first line contains two space-separated integers *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=100) — amount of TV sets at the sale, and amount of TV sets that Bob can carry. The following line contains *n* space-separated integers *a**i* (<=-<=1000<=≤<=*a**i*<=≤<=1000) — prices of the TV sets. | Output the only number — the maximum sum of money that Bob can earn, given that he can carry at most *m* TV sets. | [
"5 3\n-6 0 35 -2 4\n",
"4 2\n7 0 0 -7\n"
] | [
"8\n",
"7\n"
] | none | 1,000 | [
{
"input": "5 3\n-6 0 35 -2 4",
"output": "8"
},
{
"input": "4 2\n7 0 0 -7",
"output": "7"
},
{
"input": "6 6\n756 -611 251 -66 572 -818",
"output": "1495"
},
{
"input": "5 5\n976 437 937 788 518",
"output": "0"
},
{
"input": "5 3\n-2 -2 -2 -2 -2",
"output": "... | 1,663,424,934 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 92 | 0 | n,m=list(map(int,input().split()))
lis=list(map(int,input().split()))
lis.sort()
sum=0
for i in range(m):
if(lis[i]<0):
sum=sum+lis[i]
print(abs(sum)) | Title: Sale
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Once Bob got to a sale of old TV sets. There were *n* TV sets at that sale. TV set with index *i* costs *a**i* bellars. Some TV sets have a negative price — their owners are ready to pay Bob if he buys their useless apparatus. Bob can «buy» any TV sets he wants. Though he's very strong, Bob can carry at most *m* TV sets, and he has no desire to go to the sale for the second time. Please, help Bob find out the maximum sum of money that he can earn.
Input Specification:
The first line contains two space-separated integers *n* and *m* (1<=≤<=*m*<=≤<=*n*<=≤<=100) — amount of TV sets at the sale, and amount of TV sets that Bob can carry. The following line contains *n* space-separated integers *a**i* (<=-<=1000<=≤<=*a**i*<=≤<=1000) — prices of the TV sets.
Output Specification:
Output the only number — the maximum sum of money that Bob can earn, given that he can carry at most *m* TV sets.
Demo Input:
['5 3\n-6 0 35 -2 4\n', '4 2\n7 0 0 -7\n']
Demo Output:
['8\n', '7\n']
Note:
none | ```python
n,m=list(map(int,input().split()))
lis=list(map(int,input().split()))
lis.sort()
sum=0
for i in range(m):
if(lis[i]<0):
sum=sum+lis[i]
print(abs(sum))
``` | 3.977 |
71 | A | Way Too Long Words | PROGRAMMING | 800 | [
"strings"
] | A. Way Too Long Words | 1 | 256 | Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters. | Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data. | [
"4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n"
] | [
"word\nl10n\ni18n\np43s\n"
] | none | 500 | [
{
"input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis",
"output": "word\nl10n\ni18n\np43s"
},
{
"input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm",
"output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m"
},
{
"input":... | 1,682,051,234 | 2,147,483,647 | Python 3 | OK | TESTS | 20 | 62 | 0 | T = int(input())
i=0
while i<T:
word = input()
if(len(word)>10):
print(word[0],len(word)-2,word[-1],sep="")
else:
print(word)
i+=1
| Title: Way Too Long Words
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters.
Output Specification:
Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data.
Demo Input:
['4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n']
Demo Output:
['word\nl10n\ni18n\np43s\n']
Note:
none | ```python
T = int(input())
i=0
while i<T:
word = input()
if(len(word)>10):
print(word[0],len(word)-2,word[-1],sep="")
else:
print(word)
i+=1
``` | 3.969 |
441 | A | Valera and Antique Items | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Valera is a collector. Once he wanted to expand his collection with exactly one antique item.
Valera knows *n* sellers of antiques, the *i*-th of them auctioned *k**i* items. Currently the auction price of the *j*-th object of the *i*-th seller is *s**ij*. Valera gets on well with each of the *n* sellers. He is perfectly sure that if he outbids the current price of one of the items in the auction (in other words, offers the seller the money that is strictly greater than the current price of the item at the auction), the seller of the object will immediately sign a contract with him.
Unfortunately, Valera has only *v* units of money. Help him to determine which of the *n* sellers he can make a deal with. | The first line contains two space-separated integers *n*,<=*v* (1<=≤<=*n*<=≤<=50; 104<=≤<=*v*<=≤<=106) — the number of sellers and the units of money the Valera has.
Then *n* lines follow. The *i*-th line first contains integer *k**i* (1<=≤<=*k**i*<=≤<=50) the number of items of the *i*-th seller. Then go *k**i* space-separated integers *s**i*1,<=*s**i*2,<=...,<=*s**ik**i* (104<=≤<=*s**ij*<=≤<=106) — the current prices of the items of the *i*-th seller. | In the first line, print integer *p* — the number of sellers with who Valera can make a deal.
In the second line print *p* space-separated integers *q*1,<=*q*2,<=...,<=*q**p* (1<=≤<=*q**i*<=≤<=*n*) — the numbers of the sellers with who Valera can make a deal. Print the numbers of the sellers in the increasing order. | [
"3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000\n",
"3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000\n"
] | [
"3\n1 2 3\n",
"0\n\n"
] | In the first sample Valera can bargain with each of the sellers. He can outbid the following items: a 40000 item from the first seller, a 20000 item from the second seller, and a 10000 item from the third seller.
In the second sample Valera can not make a deal with any of the sellers, as the prices of all items in the auction too big for him. | 500 | [
{
"input": "3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000",
"output": "3\n1 2 3"
},
{
"input": "3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000",
"output": "0"
},
{
"input": "2 100001\n1 895737\n1 541571",
"output": "0"
},
{
"input": "1 1000000\n1 100... | 1,585,640,870 | 2,147,483,647 | Python 3 | OK | TESTS | 26 | 109 | 0 | a,b=map(int,input().split());k=[]
for i in range(1,a+1):
c,*d=map(int,input().split())
if min(d)<b:k+=[i]
print(len(k),"\n",*k)
| Title: Valera and Antique Items
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Valera is a collector. Once he wanted to expand his collection with exactly one antique item.
Valera knows *n* sellers of antiques, the *i*-th of them auctioned *k**i* items. Currently the auction price of the *j*-th object of the *i*-th seller is *s**ij*. Valera gets on well with each of the *n* sellers. He is perfectly sure that if he outbids the current price of one of the items in the auction (in other words, offers the seller the money that is strictly greater than the current price of the item at the auction), the seller of the object will immediately sign a contract with him.
Unfortunately, Valera has only *v* units of money. Help him to determine which of the *n* sellers he can make a deal with.
Input Specification:
The first line contains two space-separated integers *n*,<=*v* (1<=≤<=*n*<=≤<=50; 104<=≤<=*v*<=≤<=106) — the number of sellers and the units of money the Valera has.
Then *n* lines follow. The *i*-th line first contains integer *k**i* (1<=≤<=*k**i*<=≤<=50) the number of items of the *i*-th seller. Then go *k**i* space-separated integers *s**i*1,<=*s**i*2,<=...,<=*s**ik**i* (104<=≤<=*s**ij*<=≤<=106) — the current prices of the items of the *i*-th seller.
Output Specification:
In the first line, print integer *p* — the number of sellers with who Valera can make a deal.
In the second line print *p* space-separated integers *q*1,<=*q*2,<=...,<=*q**p* (1<=≤<=*q**i*<=≤<=*n*) — the numbers of the sellers with who Valera can make a deal. Print the numbers of the sellers in the increasing order.
Demo Input:
['3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000\n', '3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000\n']
Demo Output:
['3\n1 2 3\n', '0\n\n']
Note:
In the first sample Valera can bargain with each of the sellers. He can outbid the following items: a 40000 item from the first seller, a 20000 item from the second seller, and a 10000 item from the third seller.
In the second sample Valera can not make a deal with any of the sellers, as the prices of all items in the auction too big for him. | ```python
a,b=map(int,input().split());k=[]
for i in range(1,a+1):
c,*d=map(int,input().split())
if min(d)<b:k+=[i]
print(len(k),"\n",*k)
``` | 3 | |
10 | A | Power Consumption Calculation | PROGRAMMING | 900 | [
"implementation"
] | A. Power Consumption Calculation | 1 | 256 | Tom is interested in power consumption of his favourite laptop. His laptop has three modes. In normal mode laptop consumes *P*1 watt per minute. *T*1 minutes after Tom moved the mouse or touched the keyboard for the last time, a screensaver starts and power consumption changes to *P*2 watt per minute. Finally, after *T*2 minutes from the start of the screensaver, laptop switches to the "sleep" mode and consumes *P*3 watt per minute. If Tom moves the mouse or touches the keyboard when the laptop is in the second or in the third mode, it switches to the first (normal) mode. Tom's work with the laptop can be divided into *n* time periods [*l*1,<=*r*1],<=[*l*2,<=*r*2],<=...,<=[*l**n*,<=*r**n*]. During each interval Tom continuously moves the mouse and presses buttons on the keyboard. Between the periods Tom stays away from the laptop. Find out the total amount of power consumed by the laptop during the period [*l*1,<=*r**n*]. | The first line contains 6 integer numbers *n*, *P*1, *P*2, *P*3, *T*1, *T*2 (1<=≤<=*n*<=≤<=100,<=0<=≤<=*P*1,<=*P*2,<=*P*3<=≤<=100,<=1<=≤<=*T*1,<=*T*2<=≤<=60). The following *n* lines contain description of Tom's work. Each *i*-th of these lines contains two space-separated integers *l**i* and *r**i* (0<=≤<=*l**i*<=<<=*r**i*<=≤<=1440, *r**i*<=<<=*l**i*<=+<=1 for *i*<=<<=*n*), which stand for the start and the end of the *i*-th period of work. | Output the answer to the problem. | [
"1 3 2 1 5 10\n0 10\n",
"2 8 4 2 5 10\n20 30\n50 100\n"
] | [
"30",
"570"
] | none | 0 | [
{
"input": "1 3 2 1 5 10\n0 10",
"output": "30"
},
{
"input": "2 8 4 2 5 10\n20 30\n50 100",
"output": "570"
},
{
"input": "3 15 9 95 39 19\n873 989\n1003 1137\n1172 1436",
"output": "8445"
},
{
"input": "4 73 2 53 58 16\n51 52\n209 242\n281 407\n904 945",
"output": "5287... | 1,674,683,181 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 30 | 124 | 0 | n, P1, P2, P3, T1, T2=map(int,input().split())
s=0
for i in range(n):
l,r=map(int,input().split())
if i==0:
t=l
if T1>=(l-t):
s+=(l-t)*P1
else:
s+=T1*P1
if T2>=(l-T1-t):
s+=(l-T1-t)*P2
else:
s+=T2*P2
s+=(l-T1-T2-t)*P3
s+=(r-l)*P1
t=r
print(s) | Title: Power Consumption Calculation
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Tom is interested in power consumption of his favourite laptop. His laptop has three modes. In normal mode laptop consumes *P*1 watt per minute. *T*1 minutes after Tom moved the mouse or touched the keyboard for the last time, a screensaver starts and power consumption changes to *P*2 watt per minute. Finally, after *T*2 minutes from the start of the screensaver, laptop switches to the "sleep" mode and consumes *P*3 watt per minute. If Tom moves the mouse or touches the keyboard when the laptop is in the second or in the third mode, it switches to the first (normal) mode. Tom's work with the laptop can be divided into *n* time periods [*l*1,<=*r*1],<=[*l*2,<=*r*2],<=...,<=[*l**n*,<=*r**n*]. During each interval Tom continuously moves the mouse and presses buttons on the keyboard. Between the periods Tom stays away from the laptop. Find out the total amount of power consumed by the laptop during the period [*l*1,<=*r**n*].
Input Specification:
The first line contains 6 integer numbers *n*, *P*1, *P*2, *P*3, *T*1, *T*2 (1<=≤<=*n*<=≤<=100,<=0<=≤<=*P*1,<=*P*2,<=*P*3<=≤<=100,<=1<=≤<=*T*1,<=*T*2<=≤<=60). The following *n* lines contain description of Tom's work. Each *i*-th of these lines contains two space-separated integers *l**i* and *r**i* (0<=≤<=*l**i*<=<<=*r**i*<=≤<=1440, *r**i*<=<<=*l**i*<=+<=1 for *i*<=<<=*n*), which stand for the start and the end of the *i*-th period of work.
Output Specification:
Output the answer to the problem.
Demo Input:
['1 3 2 1 5 10\n0 10\n', '2 8 4 2 5 10\n20 30\n50 100\n']
Demo Output:
['30', '570']
Note:
none | ```python
n, P1, P2, P3, T1, T2=map(int,input().split())
s=0
for i in range(n):
l,r=map(int,input().split())
if i==0:
t=l
if T1>=(l-t):
s+=(l-t)*P1
else:
s+=T1*P1
if T2>=(l-T1-t):
s+=(l-T1-t)*P2
else:
s+=T2*P2
s+=(l-T1-T2-t)*P3
s+=(r-l)*P1
t=r
print(s)
``` | 3.938 |
80 | A | Panoramix's Prediction | PROGRAMMING | 800 | [
"brute force"
] | A. Panoramix's Prediction | 2 | 256 | A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.
The next prime number after *x* is the smallest prime number greater than *x*. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 is not the next prime number for 2.
One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.
Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly *x* Roman soldiers, where *x* is a prime number, and next day they beat exactly *y* Roman soldiers, where *y* is the next prime number after *x*, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.
Yesterday the Gauls beat *n* Roman soldiers and it turned out that the number *n* was prime! Today their victims were a troop of *m* Romans (*m*<=><=*n*). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix? | The first and only input line contains two positive integers — *n* and *m* (2<=≤<=*n*<=<<=*m*<=≤<=50). It is guaranteed that *n* is prime.
Pretests contain all the cases with restrictions 2<=≤<=*n*<=<<=*m*<=≤<=4. | Print YES, if *m* is the next prime number after *n*, or NO otherwise. | [
"3 5\n",
"7 11\n",
"7 9\n"
] | [
"YES",
"YES",
"NO"
] | none | 500 | [
{
"input": "3 5",
"output": "YES"
},
{
"input": "7 11",
"output": "YES"
},
{
"input": "7 9",
"output": "NO"
},
{
"input": "2 3",
"output": "YES"
},
{
"input": "2 4",
"output": "NO"
},
{
"input": "3 4",
"output": "NO"
},
{
"input": "3 5",
... | 1,683,212,844 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 39 | 154 | 0 | a=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47]
n,m=map(int,input().split())
for i in range(len(a)-1):
if n==a[i]:
if m==a[i+1]:
print('YES')
else:
print('NO') | Title: Panoramix's Prediction
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.
The next prime number after *x* is the smallest prime number greater than *x*. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 is not the next prime number for 2.
One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.
Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly *x* Roman soldiers, where *x* is a prime number, and next day they beat exactly *y* Roman soldiers, where *y* is the next prime number after *x*, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.
Yesterday the Gauls beat *n* Roman soldiers and it turned out that the number *n* was prime! Today their victims were a troop of *m* Romans (*m*<=><=*n*). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix?
Input Specification:
The first and only input line contains two positive integers — *n* and *m* (2<=≤<=*n*<=<<=*m*<=≤<=50). It is guaranteed that *n* is prime.
Pretests contain all the cases with restrictions 2<=≤<=*n*<=<<=*m*<=≤<=4.
Output Specification:
Print YES, if *m* is the next prime number after *n*, or NO otherwise.
Demo Input:
['3 5\n', '7 11\n', '7 9\n']
Demo Output:
['YES', 'YES', 'NO']
Note:
none | ```python
a=[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47]
n,m=map(int,input().split())
for i in range(len(a)-1):
if n==a[i]:
if m==a[i+1]:
print('YES')
else:
print('NO')
``` | 0 |
587 | A | Duff and Weight Lifting | PROGRAMMING | 1,500 | [
"greedy"
] | null | null | Recently, Duff has been practicing weight lifting. As a hard practice, Malek gave her a task. He gave her a sequence of weights. Weight of *i*-th of them is 2*w**i* pounds. In each step, Duff can lift some of the remaining weights and throw them away. She does this until there's no more weight left. Malek asked her to minimize the number of steps.
Duff is a competitive programming fan. That's why in each step, she can only lift and throw away a sequence of weights 2*a*1,<=...,<=2*a**k* if and only if there exists a non-negative integer *x* such that 2*a*1<=+<=2*a*2<=+<=...<=+<=2*a**k*<==<=2*x*, i. e. the sum of those numbers is a power of two.
Duff is a competitive programming fan, but not a programmer. That's why she asked for your help. Help her minimize the number of steps. | The first line of input contains integer *n* (1<=≤<=*n*<=≤<=106), the number of weights.
The second line contains *n* integers *w*1,<=...,<=*w**n* separated by spaces (0<=≤<=*w**i*<=≤<=106 for each 1<=≤<=*i*<=≤<=*n*), the powers of two forming the weights values. | Print the minimum number of steps in a single line. | [
"5\n1 1 2 3 3\n",
"4\n0 1 2 3\n"
] | [
"2\n",
"4\n"
] | In the first sample case: One optimal way would be to throw away the first three in the first step and the rest in the second step. Also, it's not possible to do it in one step because their sum is not a power of two.
In the second sample case: The only optimal way is to throw away one weight in each step. It's not possible to do it in less than 4 steps because there's no subset of weights with more than one weight and sum equal to a power of two. | 500 | [
{
"input": "5\n1 1 2 3 3",
"output": "2"
},
{
"input": "4\n0 1 2 3",
"output": "4"
},
{
"input": "1\n120287",
"output": "1"
},
{
"input": "2\n28288 0",
"output": "2"
},
{
"input": "2\n95745 95745",
"output": "1"
},
{
"input": "13\n92 194 580495 0 10855... | 1,500,585,400 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 46 | 4,608,000 | # Description of the problem can be found at http://codeforces.com/problemset/problem/581/C
n, k = map(int, input().split())
l_s = list(map(int, input().split()))
l_s.sort(key = lambda x: x % 10 if x != 100 else x, reverse = True)
t = 0
r = 0
index = 0
for i in l_s:
n_i = i
if i != 100:
n_i += min(k, 10 - i % 10)
k -= n_i - i
r += 100 - n_i
t += n_i // 10
t += min(r // 10, k // 10)
print(t) | Title: Duff and Weight Lifting
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently, Duff has been practicing weight lifting. As a hard practice, Malek gave her a task. He gave her a sequence of weights. Weight of *i*-th of them is 2*w**i* pounds. In each step, Duff can lift some of the remaining weights and throw them away. She does this until there's no more weight left. Malek asked her to minimize the number of steps.
Duff is a competitive programming fan. That's why in each step, she can only lift and throw away a sequence of weights 2*a*1,<=...,<=2*a**k* if and only if there exists a non-negative integer *x* such that 2*a*1<=+<=2*a*2<=+<=...<=+<=2*a**k*<==<=2*x*, i. e. the sum of those numbers is a power of two.
Duff is a competitive programming fan, but not a programmer. That's why she asked for your help. Help her minimize the number of steps.
Input Specification:
The first line of input contains integer *n* (1<=≤<=*n*<=≤<=106), the number of weights.
The second line contains *n* integers *w*1,<=...,<=*w**n* separated by spaces (0<=≤<=*w**i*<=≤<=106 for each 1<=≤<=*i*<=≤<=*n*), the powers of two forming the weights values.
Output Specification:
Print the minimum number of steps in a single line.
Demo Input:
['5\n1 1 2 3 3\n', '4\n0 1 2 3\n']
Demo Output:
['2\n', '4\n']
Note:
In the first sample case: One optimal way would be to throw away the first three in the first step and the rest in the second step. Also, it's not possible to do it in one step because their sum is not a power of two.
In the second sample case: The only optimal way is to throw away one weight in each step. It's not possible to do it in less than 4 steps because there's no subset of weights with more than one weight and sum equal to a power of two. | ```python
# Description of the problem can be found at http://codeforces.com/problemset/problem/581/C
n, k = map(int, input().split())
l_s = list(map(int, input().split()))
l_s.sort(key = lambda x: x % 10 if x != 100 else x, reverse = True)
t = 0
r = 0
index = 0
for i in l_s:
n_i = i
if i != 100:
n_i += min(k, 10 - i % 10)
k -= n_i - i
r += 100 - n_i
t += n_i // 10
t += min(r // 10, k // 10)
print(t)
``` | -1 | |
0 | none | none | none | 0 | [
"none"
] | null | null | Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of *m* points *p*1,<=*p*2,<=...,<=*p**m* with integer coordinates, do the following: denote its initial location by *p*0. First, the robot will move from *p*0 to *p*1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches *p*1, it'll move to *p*2, again, choosing one of the shortest ways, then to *p*3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence. | The first line of input contains the only positive integer *n* (1<=≤<=*n*<=≤<=2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of *n* letters, each being equal either L, or R, or U, or D. *k*-th letter stands for the direction which Robot traveled the *k*-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation. | The only line of input should contain the minimum possible length of the sequence. | [
"4\nRURD\n",
"6\nRRULDD\n",
"26\nRRRULURURUULULLLDLDDRDRDLD\n",
"3\nRLL\n",
"4\nLRLR\n"
] | [
"2\n",
"2\n",
"7\n",
"2\n",
"4\n"
] | The illustrations to the first three tests are given below.
<img class="tex-graphics" src="https://espresso.codeforces.com/832fb8f97a482be815e0f87edde26c9791a0d330.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/119a8ba68772b2c2bf76f2acdc58027f6c5cde1f.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/c7b4534f24cbad48148bcba24bc44f37bf7a2dbf.png" style="max-width: 100.0%;max-height: 100.0%;"/>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence. | 0 | [
{
"input": "4\nRURD",
"output": "2"
},
{
"input": "6\nRRULDD",
"output": "2"
},
{
"input": "26\nRRRULURURUULULLLDLDDRDRDLD",
"output": "7"
},
{
"input": "3\nRLL",
"output": "2"
},
{
"input": "4\nLRLR",
"output": "4"
},
{
"input": "5\nLRDLR",
"outpu... | 1,482,659,473 | 2,773 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 15 | 2,000 | 5,222,400 | n=int(input())
s=input()
L,R,U,D=False,False,False,False
c=0
for i in range(n):
exec(s[i]+'=True')
if (L and R) or (U and D):
c+=1
L,R,U,D=False,False,False,False
exec(s[i]+'=True')
c+=1
print(c)
| Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of *m* points *p*1,<=*p*2,<=...,<=*p**m* with integer coordinates, do the following: denote its initial location by *p*0. First, the robot will move from *p*0 to *p*1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches *p*1, it'll move to *p*2, again, choosing one of the shortest ways, then to *p*3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence.
Input Specification:
The first line of input contains the only positive integer *n* (1<=≤<=*n*<=≤<=2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of *n* letters, each being equal either L, or R, or U, or D. *k*-th letter stands for the direction which Robot traveled the *k*-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation.
Output Specification:
The only line of input should contain the minimum possible length of the sequence.
Demo Input:
['4\nRURD\n', '6\nRRULDD\n', '26\nRRRULURURUULULLLDLDDRDRDLD\n', '3\nRLL\n', '4\nLRLR\n']
Demo Output:
['2\n', '2\n', '7\n', '2\n', '4\n']
Note:
The illustrations to the first three tests are given below.
<img class="tex-graphics" src="https://espresso.codeforces.com/832fb8f97a482be815e0f87edde26c9791a0d330.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/119a8ba68772b2c2bf76f2acdc58027f6c5cde1f.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/c7b4534f24cbad48148bcba24bc44f37bf7a2dbf.png" style="max-width: 100.0%;max-height: 100.0%;"/>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence. | ```python
n=int(input())
s=input()
L,R,U,D=False,False,False,False
c=0
for i in range(n):
exec(s[i]+'=True')
if (L and R) or (U and D):
c+=1
L,R,U,D=False,False,False,False
exec(s[i]+'=True')
c+=1
print(c)
``` | 0 | |
1,005 | B | Delete from the Left | PROGRAMMING | 900 | [
"brute force",
"implementation",
"strings"
] | null | null | You are given two strings $s$ and $t$. In a single move, you can choose any of two strings and delete the first (that is, the leftmost) character. After a move, the length of the string decreases by $1$. You can't choose a string if it is empty.
For example:
- by applying a move to the string "where", the result is the string "here", - by applying a move to the string "a", the result is an empty string "".
You are required to make two given strings equal using the fewest number of moves. It is possible that, in the end, both strings will be equal to the empty string, and so, are equal to each other. In this case, the answer is obviously the sum of the lengths of the initial strings.
Write a program that finds the minimum number of moves to make two given strings $s$ and $t$ equal. | The first line of the input contains $s$. In the second line of the input contains $t$. Both strings consist only of lowercase Latin letters. The number of letters in each string is between 1 and $2\cdot10^5$, inclusive. | Output the fewest number of moves required. It is possible that, in the end, both strings will be equal to the empty string, and so, are equal to each other. In this case, the answer is obviously the sum of the lengths of the given strings. | [
"test\nwest\n",
"codeforces\nyes\n",
"test\nyes\n",
"b\nab\n"
] | [
"2\n",
"9\n",
"7\n",
"1\n"
] | In the first example, you should apply the move once to the first string and apply the move once to the second string. As a result, both strings will be equal to "est".
In the second example, the move should be applied to the string "codeforces" $8$ times. As a result, the string becomes "codeforces" $\to$ "es". The move should be applied to the string "yes" once. The result is the same string "yes" $\to$ "es".
In the third example, you can make the strings equal only by completely deleting them. That is, in the end, both strings will be empty.
In the fourth example, the first character of the second string should be deleted. | 0 | [
{
"input": "test\nwest",
"output": "2"
},
{
"input": "codeforces\nyes",
"output": "9"
},
{
"input": "test\nyes",
"output": "7"
},
{
"input": "b\nab",
"output": "1"
},
{
"input": "z\nz",
"output": "0"
},
{
"input": "abacabadabacaba\nabacabadacaba",
... | 1,693,768,633 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 1,000 | 921,600 | word_1, word_2 = input(), input()
total = 0
l1, l2 = len(word_1), len(word_2)
if l1 > l2:
word_1 = word_1[l1 - l2:]
total += l1 - l2
elif l2 > l1:
word_2 = word_2[l2 - l1:]
total += l2 - l1
while word_1 != "":
if word_1 == word_2 :
break
else:
word_1, word_2 = word_1[1:], word_2[1:]
total += 2
print(total)
# Sun Sep 03 2023 22:17:12 GMT+0300 (Moscow Standard Time)
| Title: Delete from the Left
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given two strings $s$ and $t$. In a single move, you can choose any of two strings and delete the first (that is, the leftmost) character. After a move, the length of the string decreases by $1$. You can't choose a string if it is empty.
For example:
- by applying a move to the string "where", the result is the string "here", - by applying a move to the string "a", the result is an empty string "".
You are required to make two given strings equal using the fewest number of moves. It is possible that, in the end, both strings will be equal to the empty string, and so, are equal to each other. In this case, the answer is obviously the sum of the lengths of the initial strings.
Write a program that finds the minimum number of moves to make two given strings $s$ and $t$ equal.
Input Specification:
The first line of the input contains $s$. In the second line of the input contains $t$. Both strings consist only of lowercase Latin letters. The number of letters in each string is between 1 and $2\cdot10^5$, inclusive.
Output Specification:
Output the fewest number of moves required. It is possible that, in the end, both strings will be equal to the empty string, and so, are equal to each other. In this case, the answer is obviously the sum of the lengths of the given strings.
Demo Input:
['test\nwest\n', 'codeforces\nyes\n', 'test\nyes\n', 'b\nab\n']
Demo Output:
['2\n', '9\n', '7\n', '1\n']
Note:
In the first example, you should apply the move once to the first string and apply the move once to the second string. As a result, both strings will be equal to "est".
In the second example, the move should be applied to the string "codeforces" $8$ times. As a result, the string becomes "codeforces" $\to$ "es". The move should be applied to the string "yes" once. The result is the same string "yes" $\to$ "es".
In the third example, you can make the strings equal only by completely deleting them. That is, in the end, both strings will be empty.
In the fourth example, the first character of the second string should be deleted. | ```python
word_1, word_2 = input(), input()
total = 0
l1, l2 = len(word_1), len(word_2)
if l1 > l2:
word_1 = word_1[l1 - l2:]
total += l1 - l2
elif l2 > l1:
word_2 = word_2[l2 - l1:]
total += l2 - l1
while word_1 != "":
if word_1 == word_2 :
break
else:
word_1, word_2 = word_1[1:], word_2[1:]
total += 2
print(total)
# Sun Sep 03 2023 22:17:12 GMT+0300 (Moscow Standard Time)
``` | 0 | |
770 | A | New Password | PROGRAMMING | 800 | [
"*special",
"implementation"
] | null | null | Innokentiy decides to change the password in the social net "Contact!", but he is too lazy to invent a new password by himself. That is why he needs your help.
Innokentiy decides that new password should satisfy the following conditions:
- the length of the password must be equal to *n*, - the password should consist only of lowercase Latin letters, - the number of distinct symbols in the password must be equal to *k*, - any two consecutive symbols in the password must be distinct.
Your task is to help Innokentiy and to invent a new password which will satisfy all given conditions. | The first line contains two positive integers *n* and *k* (2<=≤<=*n*<=≤<=100, 2<=≤<=*k*<=≤<=*min*(*n*,<=26)) — the length of the password and the number of distinct symbols in it.
Pay attention that a desired new password always exists. | Print any password which satisfies all conditions given by Innokentiy. | [
"4 3\n",
"6 6\n",
"5 2\n"
] | [
"java\n",
"python\n",
"phphp\n"
] | In the first test there is one of the appropriate new passwords — java, because its length is equal to 4 and 3 distinct lowercase letters a, j and v are used in it.
In the second test there is one of the appropriate new passwords — python, because its length is equal to 6 and it consists of 6 distinct lowercase letters.
In the third test there is one of the appropriate new passwords — phphp, because its length is equal to 5 and 2 distinct lowercase letters p and h are used in it.
Pay attention the condition that no two identical symbols are consecutive is correct for all appropriate passwords in tests. | 500 | [
{
"input": "4 3",
"output": "abca"
},
{
"input": "6 6",
"output": "abcdef"
},
{
"input": "5 2",
"output": "ababa"
},
{
"input": "3 2",
"output": "aba"
},
{
"input": "10 2",
"output": "ababababab"
},
{
"input": "26 13",
"output": "abcdefghijklmabcde... | 1,632,321,387 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | import string
alpha = string.ascii_lowercase
size, rng = map(int,input().split())
req = alpha[:rng]
pwd = ''
ct = 0a
for i in range(size):
if ct >= rng:
ct = 0
pwd += req[ct]
ct+=1
print(pwd) | Title: New Password
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Innokentiy decides to change the password in the social net "Contact!", but he is too lazy to invent a new password by himself. That is why he needs your help.
Innokentiy decides that new password should satisfy the following conditions:
- the length of the password must be equal to *n*, - the password should consist only of lowercase Latin letters, - the number of distinct symbols in the password must be equal to *k*, - any two consecutive symbols in the password must be distinct.
Your task is to help Innokentiy and to invent a new password which will satisfy all given conditions.
Input Specification:
The first line contains two positive integers *n* and *k* (2<=≤<=*n*<=≤<=100, 2<=≤<=*k*<=≤<=*min*(*n*,<=26)) — the length of the password and the number of distinct symbols in it.
Pay attention that a desired new password always exists.
Output Specification:
Print any password which satisfies all conditions given by Innokentiy.
Demo Input:
['4 3\n', '6 6\n', '5 2\n']
Demo Output:
['java\n', 'python\n', 'phphp\n']
Note:
In the first test there is one of the appropriate new passwords — java, because its length is equal to 4 and 3 distinct lowercase letters a, j and v are used in it.
In the second test there is one of the appropriate new passwords — python, because its length is equal to 6 and it consists of 6 distinct lowercase letters.
In the third test there is one of the appropriate new passwords — phphp, because its length is equal to 5 and 2 distinct lowercase letters p and h are used in it.
Pay attention the condition that no two identical symbols are consecutive is correct for all appropriate passwords in tests. | ```python
import string
alpha = string.ascii_lowercase
size, rng = map(int,input().split())
req = alpha[:rng]
pwd = ''
ct = 0a
for i in range(size):
if ct >= rng:
ct = 0
pwd += req[ct]
ct+=1
print(pwd)
``` | -1 | |
864 | A | Fair Game | PROGRAMMING | 1,000 | [
"implementation",
"sortings"
] | null | null | Petya and Vasya decided to play a game. They have *n* cards (*n* is an even number). A single integer is written on each card.
Before the game Petya will choose an integer and after that Vasya will choose another integer (different from the number that Petya chose). During the game each player takes all the cards with number he chose. For example, if Petya chose number 5 before the game he will take all cards on which 5 is written and if Vasya chose number 10 before the game he will take all cards on which 10 is written.
The game is considered fair if Petya and Vasya can take all *n* cards, and the number of cards each player gets is the same.
Determine whether Petya and Vasya can choose integer numbers before the game so that the game is fair. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=100) — number of cards. It is guaranteed that *n* is an even number.
The following *n* lines contain a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (one integer per line, 1<=≤<=*a**i*<=≤<=100) — numbers written on the *n* cards. | If it is impossible for Petya and Vasya to choose numbers in such a way that the game will be fair, print "NO" (without quotes) in the first line. In this case you should not print anything more.
In the other case print "YES" (without quotes) in the first line. In the second line print two distinct integers — number that Petya should choose and the number that Vasya should choose to make the game fair. If there are several solutions, print any of them. | [
"4\n11\n27\n27\n11\n",
"2\n6\n6\n",
"6\n10\n20\n30\n20\n10\n20\n",
"6\n1\n1\n2\n2\n3\n3\n"
] | [
"YES\n11 27\n",
"NO\n",
"NO\n",
"NO\n"
] | In the first example the game will be fair if, for example, Petya chooses number 11, and Vasya chooses number 27. Then the will take all cards — Petya will take cards 1 and 4, and Vasya will take cards 2 and 3. Thus, each of them will take exactly two cards.
In the second example fair game is impossible because the numbers written on the cards are equal, but the numbers that Petya and Vasya should choose should be distinct.
In the third example it is impossible to take all cards. Petya and Vasya can take at most five cards — for example, Petya can choose number 10 and Vasya can choose number 20. But for the game to be fair it is necessary to take 6 cards. | 500 | [
{
"input": "4\n11\n27\n27\n11",
"output": "YES\n11 27"
},
{
"input": "2\n6\n6",
"output": "NO"
},
{
"input": "6\n10\n20\n30\n20\n10\n20",
"output": "NO"
},
{
"input": "6\n1\n1\n2\n2\n3\n3",
"output": "NO"
},
{
"input": "2\n1\n100",
"output": "YES\n1 100"
},
... | 1,507,734,911 | 911 | Python 3 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | read = lambda: tuple(map(int, input().split()))
n = read()[0]
arr = sorted([read()[0] for i in range(n)])
arrN = []
c = -1
k = 0
for el in arr:
if el != c:
arrN += [[k, c]]
c = el
k = 0
k += 1
arrN += [[k, c]]
arrN = arrN[1:]
if len(arrN) != 2: print("NO")
elif arrN[0][0] == arrN[1][0]: print("YES")
else: print("NO")
| Title: Fair Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya and Vasya decided to play a game. They have *n* cards (*n* is an even number). A single integer is written on each card.
Before the game Petya will choose an integer and after that Vasya will choose another integer (different from the number that Petya chose). During the game each player takes all the cards with number he chose. For example, if Petya chose number 5 before the game he will take all cards on which 5 is written and if Vasya chose number 10 before the game he will take all cards on which 10 is written.
The game is considered fair if Petya and Vasya can take all *n* cards, and the number of cards each player gets is the same.
Determine whether Petya and Vasya can choose integer numbers before the game so that the game is fair.
Input Specification:
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=100) — number of cards. It is guaranteed that *n* is an even number.
The following *n* lines contain a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (one integer per line, 1<=≤<=*a**i*<=≤<=100) — numbers written on the *n* cards.
Output Specification:
If it is impossible for Petya and Vasya to choose numbers in such a way that the game will be fair, print "NO" (without quotes) in the first line. In this case you should not print anything more.
In the other case print "YES" (without quotes) in the first line. In the second line print two distinct integers — number that Petya should choose and the number that Vasya should choose to make the game fair. If there are several solutions, print any of them.
Demo Input:
['4\n11\n27\n27\n11\n', '2\n6\n6\n', '6\n10\n20\n30\n20\n10\n20\n', '6\n1\n1\n2\n2\n3\n3\n']
Demo Output:
['YES\n11 27\n', 'NO\n', 'NO\n', 'NO\n']
Note:
In the first example the game will be fair if, for example, Petya chooses number 11, and Vasya chooses number 27. Then the will take all cards — Petya will take cards 1 and 4, and Vasya will take cards 2 and 3. Thus, each of them will take exactly two cards.
In the second example fair game is impossible because the numbers written on the cards are equal, but the numbers that Petya and Vasya should choose should be distinct.
In the third example it is impossible to take all cards. Petya and Vasya can take at most five cards — for example, Petya can choose number 10 and Vasya can choose number 20. But for the game to be fair it is necessary to take 6 cards. | ```python
read = lambda: tuple(map(int, input().split()))
n = read()[0]
arr = sorted([read()[0] for i in range(n)])
arrN = []
c = -1
k = 0
for el in arr:
if el != c:
arrN += [[k, c]]
c = el
k = 0
k += 1
arrN += [[k, c]]
arrN = arrN[1:]
if len(arrN) != 2: print("NO")
elif arrN[0][0] == arrN[1][0]: print("YES")
else: print("NO")
``` | 0 | |
725 | B | Food on the Plane | PROGRAMMING | 1,200 | [
"implementation",
"math"
] | null | null | A new airplane SuperPuperJet has an infinite number of rows, numbered with positive integers starting with 1 from cockpit to tail. There are six seats in each row, denoted with letters from 'a' to 'f'. Seats 'a', 'b' and 'c' are located to the left of an aisle (if one looks in the direction of the cockpit), while seats 'd', 'e' and 'f' are located to the right. Seats 'a' and 'f' are located near the windows, while seats 'c' and 'd' are located near the aisle.
It's lunch time and two flight attendants have just started to serve food. They move from the first rows to the tail, always maintaining a distance of two rows from each other because of the food trolley. Thus, at the beginning the first attendant serves row 1 while the second attendant serves row 3. When both rows are done they move one row forward: the first attendant serves row 2 while the second attendant serves row 4. Then they move three rows forward and the first attendant serves row 5 while the second attendant serves row 7. Then they move one row forward again and so on.
Flight attendants work with the same speed: it takes exactly 1 second to serve one passenger and 1 second to move one row forward. Each attendant first serves the passengers on the seats to the right of the aisle and then serves passengers on the seats to the left of the aisle (if one looks in the direction of the cockpit). Moreover, they always serve passengers in order from the window to the aisle. Thus, the first passenger to receive food in each row is located in seat 'f', and the last one — in seat 'c'. Assume that all seats are occupied.
Vasya has seat *s* in row *n* and wants to know how many seconds will pass before he gets his lunch. | The only line of input contains a description of Vasya's seat in the format *ns*, where *n* (1<=≤<=*n*<=≤<=1018) is the index of the row and *s* is the seat in this row, denoted as letter from 'a' to 'f'. The index of the row and the seat are not separated by a space. | Print one integer — the number of seconds Vasya has to wait until he gets his lunch. | [
"1f\n",
"2d\n",
"4a\n",
"5e\n"
] | [
"1\n",
"10\n",
"11\n",
"18\n"
] | In the first sample, the first flight attendant serves Vasya first, so Vasya gets his lunch after 1 second.
In the second sample, the flight attendants will spend 6 seconds to serve everyone in the rows 1 and 3, then they will move one row forward in 1 second. As they first serve seats located to the right of the aisle in order from window to aisle, Vasya has to wait 3 more seconds. The total is 6 + 1 + 3 = 10. | 1,000 | [
{
"input": "1f",
"output": "1"
},
{
"input": "2d",
"output": "10"
},
{
"input": "4a",
"output": "11"
},
{
"input": "5e",
"output": "18"
},
{
"input": "2c",
"output": "13"
},
{
"input": "1b",
"output": "5"
},
{
"input": "1000000000000000000d... | 1,610,378,357 | 2,147,483,647 | Python 3 | OK | TESTS | 119 | 77 | 0 | c=input();n,s,d=int(c[:-1]),c[-1],{'a':4,'b':5,'c':6,'d':3,'e':2,'f':1}
x=(n//4*2+(n-1)%2-2*(n%4==0))*6+d[s]+n
print(x-1 if (n-1)%4<2 else x-3) | Title: Food on the Plane
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A new airplane SuperPuperJet has an infinite number of rows, numbered with positive integers starting with 1 from cockpit to tail. There are six seats in each row, denoted with letters from 'a' to 'f'. Seats 'a', 'b' and 'c' are located to the left of an aisle (if one looks in the direction of the cockpit), while seats 'd', 'e' and 'f' are located to the right. Seats 'a' and 'f' are located near the windows, while seats 'c' and 'd' are located near the aisle.
It's lunch time and two flight attendants have just started to serve food. They move from the first rows to the tail, always maintaining a distance of two rows from each other because of the food trolley. Thus, at the beginning the first attendant serves row 1 while the second attendant serves row 3. When both rows are done they move one row forward: the first attendant serves row 2 while the second attendant serves row 4. Then they move three rows forward and the first attendant serves row 5 while the second attendant serves row 7. Then they move one row forward again and so on.
Flight attendants work with the same speed: it takes exactly 1 second to serve one passenger and 1 second to move one row forward. Each attendant first serves the passengers on the seats to the right of the aisle and then serves passengers on the seats to the left of the aisle (if one looks in the direction of the cockpit). Moreover, they always serve passengers in order from the window to the aisle. Thus, the first passenger to receive food in each row is located in seat 'f', and the last one — in seat 'c'. Assume that all seats are occupied.
Vasya has seat *s* in row *n* and wants to know how many seconds will pass before he gets his lunch.
Input Specification:
The only line of input contains a description of Vasya's seat in the format *ns*, where *n* (1<=≤<=*n*<=≤<=1018) is the index of the row and *s* is the seat in this row, denoted as letter from 'a' to 'f'. The index of the row and the seat are not separated by a space.
Output Specification:
Print one integer — the number of seconds Vasya has to wait until he gets his lunch.
Demo Input:
['1f\n', '2d\n', '4a\n', '5e\n']
Demo Output:
['1\n', '10\n', '11\n', '18\n']
Note:
In the first sample, the first flight attendant serves Vasya first, so Vasya gets his lunch after 1 second.
In the second sample, the flight attendants will spend 6 seconds to serve everyone in the rows 1 and 3, then they will move one row forward in 1 second. As they first serve seats located to the right of the aisle in order from window to aisle, Vasya has to wait 3 more seconds. The total is 6 + 1 + 3 = 10. | ```python
c=input();n,s,d=int(c[:-1]),c[-1],{'a':4,'b':5,'c':6,'d':3,'e':2,'f':1}
x=(n//4*2+(n-1)%2-2*(n%4==0))*6+d[s]+n
print(x-1 if (n-1)%4<2 else x-3)
``` | 3 | |
574 | A | Bear and Elections | PROGRAMMING | 1,200 | [
"greedy",
"implementation"
] | null | null | Limak is a grizzly bear who desires power and adoration. He wants to win in upcoming elections and rule over the Bearland.
There are *n* candidates, including Limak. We know how many citizens are going to vote for each candidate. Now *i*-th candidate would get *a**i* votes. Limak is candidate number 1. To win in elections, he must get strictly more votes than any other candidate.
Victory is more important than everything else so Limak decided to cheat. He will steal votes from his opponents by bribing some citizens. To bribe a citizen, Limak must give him or her one candy - citizens are bears and bears like candies. Limak doesn't have many candies and wonders - how many citizens does he have to bribe? | The first line contains single integer *n* (2<=≤<=*n*<=≤<=100) - number of candidates.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000) - number of votes for each candidate. Limak is candidate number 1.
Note that after bribing number of votes for some candidate might be zero or might be greater than 1000. | Print the minimum number of citizens Limak must bribe to have strictly more votes than any other candidate. | [
"5\n5 1 11 2 8\n",
"4\n1 8 8 8\n",
"2\n7 6\n"
] | [
"4\n",
"6\n",
"0\n"
] | In the first sample Limak has 5 votes. One of the ways to achieve victory is to bribe 4 citizens who want to vote for the third candidate. Then numbers of votes would be 9, 1, 7, 2, 8 (Limak would have 9 votes). Alternatively, Limak could steal only 3 votes from the third candidate and 1 vote from the second candidate to get situation 9, 0, 8, 2, 8.
In the second sample Limak will steal 2 votes from each candidate. Situation will be 7, 6, 6, 6.
In the third sample Limak is a winner without bribing any citizen. | 500 | [
{
"input": "5\n5 1 11 2 8",
"output": "4"
},
{
"input": "4\n1 8 8 8",
"output": "6"
},
{
"input": "2\n7 6",
"output": "0"
},
{
"input": "2\n1 1",
"output": "1"
},
{
"input": "10\n100 200 57 99 1 1000 200 200 200 500",
"output": "451"
},
{
"input": "16\... | 1,665,167,303 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 35 | 62 | 1,740,800 | n=int(input())
arr=list(map(int,input().split()))
t=ans=arr.pop(0)
mx=max(arr)
i=1
while (ans)<=mx:
ans+=1
arr.remove(mx)
arr.append(mx-1)
mx=max(arr)
print(ans-t) | Title: Bear and Elections
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Limak is a grizzly bear who desires power and adoration. He wants to win in upcoming elections and rule over the Bearland.
There are *n* candidates, including Limak. We know how many citizens are going to vote for each candidate. Now *i*-th candidate would get *a**i* votes. Limak is candidate number 1. To win in elections, he must get strictly more votes than any other candidate.
Victory is more important than everything else so Limak decided to cheat. He will steal votes from his opponents by bribing some citizens. To bribe a citizen, Limak must give him or her one candy - citizens are bears and bears like candies. Limak doesn't have many candies and wonders - how many citizens does he have to bribe?
Input Specification:
The first line contains single integer *n* (2<=≤<=*n*<=≤<=100) - number of candidates.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000) - number of votes for each candidate. Limak is candidate number 1.
Note that after bribing number of votes for some candidate might be zero or might be greater than 1000.
Output Specification:
Print the minimum number of citizens Limak must bribe to have strictly more votes than any other candidate.
Demo Input:
['5\n5 1 11 2 8\n', '4\n1 8 8 8\n', '2\n7 6\n']
Demo Output:
['4\n', '6\n', '0\n']
Note:
In the first sample Limak has 5 votes. One of the ways to achieve victory is to bribe 4 citizens who want to vote for the third candidate. Then numbers of votes would be 9, 1, 7, 2, 8 (Limak would have 9 votes). Alternatively, Limak could steal only 3 votes from the third candidate and 1 vote from the second candidate to get situation 9, 0, 8, 2, 8.
In the second sample Limak will steal 2 votes from each candidate. Situation will be 7, 6, 6, 6.
In the third sample Limak is a winner without bribing any citizen. | ```python
n=int(input())
arr=list(map(int,input().split()))
t=ans=arr.pop(0)
mx=max(arr)
i=1
while (ans)<=mx:
ans+=1
arr.remove(mx)
arr.append(mx-1)
mx=max(arr)
print(ans-t)
``` | 3 | |
71 | A | Way Too Long Words | PROGRAMMING | 800 | [
"strings"
] | A. Way Too Long Words | 1 | 256 | Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters. | Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data. | [
"4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n"
] | [
"word\nl10n\ni18n\np43s\n"
] | none | 500 | [
{
"input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis",
"output": "word\nl10n\ni18n\np43s"
},
{
"input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm",
"output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m"
},
{
"input":... | 1,682,919,323 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | liV = int(input())
ChaList = []
liIn = 0
while liIn < liV:
ChaList.append(input())
liIn = liIn+1
for j in ChaList:
if len(j) <= 10:
print (j)
else:
jl = len(j)-2
print(print (j[0] + str(jl)+j[-1])) | Title: Way Too Long Words
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters.
Output Specification:
Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data.
Demo Input:
['4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n']
Demo Output:
['word\nl10n\ni18n\np43s\n']
Note:
none | ```python
liV = int(input())
ChaList = []
liIn = 0
while liIn < liV:
ChaList.append(input())
liIn = liIn+1
for j in ChaList:
if len(j) <= 10:
print (j)
else:
jl = len(j)-2
print(print (j[0] + str(jl)+j[-1]))
``` | 0 |
233 | A | Perfect Permutation | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | A permutation is a sequence of integers *p*1,<=*p*2,<=...,<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. Let's denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size of permutation *p*1,<=*p*2,<=...,<=*p**n*.
Nickolas adores permutations. He likes some permutations more than the others. He calls such permutations perfect. A perfect permutation is such permutation *p* that for any *i* (1<=≤<=*i*<=≤<=*n*) (*n* is the permutation size) the following equations hold *p**p**i*<==<=*i* and *p**i*<=≠<=*i*. Nickolas asks you to print any perfect permutation of size *n* for the given *n*. | A single line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the permutation size. | If a perfect permutation of size *n* doesn't exist, print a single integer -1. Otherwise print *n* distinct integers from 1 to *n*, *p*1,<=*p*2,<=...,<=*p**n* — permutation *p*, that is perfect. Separate printed numbers by whitespaces. | [
"1\n",
"2\n",
"4\n"
] | [
"-1\n",
"2 1 \n",
"2 1 4 3 \n"
] | none | 500 | [
{
"input": "1",
"output": "-1"
},
{
"input": "2",
"output": "2 1 "
},
{
"input": "4",
"output": "2 1 4 3 "
},
{
"input": "3",
"output": "-1"
},
{
"input": "5",
"output": "-1"
},
{
"input": "6",
"output": "2 1 4 3 6 5 "
},
{
"input": "7",
... | 1,651,080,682 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 62 | 0 | #PAR-> 2,1,4,3,6,5,...
#IMPAR-> ...,5,4,3,2,1
N=int(input())
if(N==1):
print(-1)
elif(N%2==0):
Cad=""
for K in range(2,N+1,2):
Cad=Cad+str(K)+" "+str(K-1)+" "
print(Cad[:len(Cad)-1])
else:
Cad=""
for K in range(N,0,-1):
Cad=Cad+str(K)+" "
print(Cad[:len(Cad)-1])
| Title: Perfect Permutation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A permutation is a sequence of integers *p*1,<=*p*2,<=...,<=*p**n*, consisting of *n* distinct positive integers, each of them doesn't exceed *n*. Let's denote the *i*-th element of permutation *p* as *p**i*. We'll call number *n* the size of permutation *p*1,<=*p*2,<=...,<=*p**n*.
Nickolas adores permutations. He likes some permutations more than the others. He calls such permutations perfect. A perfect permutation is such permutation *p* that for any *i* (1<=≤<=*i*<=≤<=*n*) (*n* is the permutation size) the following equations hold *p**p**i*<==<=*i* and *p**i*<=≠<=*i*. Nickolas asks you to print any perfect permutation of size *n* for the given *n*.
Input Specification:
A single line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the permutation size.
Output Specification:
If a perfect permutation of size *n* doesn't exist, print a single integer -1. Otherwise print *n* distinct integers from 1 to *n*, *p*1,<=*p*2,<=...,<=*p**n* — permutation *p*, that is perfect. Separate printed numbers by whitespaces.
Demo Input:
['1\n', '2\n', '4\n']
Demo Output:
['-1\n', '2 1 \n', '2 1 4 3 \n']
Note:
none | ```python
#PAR-> 2,1,4,3,6,5,...
#IMPAR-> ...,5,4,3,2,1
N=int(input())
if(N==1):
print(-1)
elif(N%2==0):
Cad=""
for K in range(2,N+1,2):
Cad=Cad+str(K)+" "+str(K-1)+" "
print(Cad[:len(Cad)-1])
else:
Cad=""
for K in range(N,0,-1):
Cad=Cad+str(K)+" "
print(Cad[:len(Cad)-1])
``` | 0 | |
192 | A | Funky Numbers | PROGRAMMING | 1,300 | [
"binary search",
"brute force",
"implementation"
] | null | null | As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as , where *k* is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.
A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number *n*, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)! | The first input line contains an integer *n* (1<=≤<=*n*<=≤<=109). | Print "YES" (without the quotes), if *n* can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes). | [
"256\n",
"512\n"
] | [
"YES\n",
"NO\n"
] | In the first sample number <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/92095692c6ea93e9e3b837a0408ba7543549d5b2.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample number 512 can not be represented as a sum of two triangular numbers. | 500 | [
{
"input": "256",
"output": "YES"
},
{
"input": "512",
"output": "NO"
},
{
"input": "80",
"output": "NO"
},
{
"input": "828",
"output": "YES"
},
{
"input": "6035",
"output": "NO"
},
{
"input": "39210",
"output": "YES"
},
{
"input": "79712",... | 1,698,518,325 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 62 | 0 | v=input()
v1=int(v)
vv=[]
v2=int(v[-1])
for i in range(2,v2):
if v2%i==0 and v2//i != 0:
vv.append(i)
if len(vv) >= 2:
q1, q2 = vv[0], vv[1]
x1 = (q1 * q2) // 2
x2 = ((q1 * 11) * (q1 * 11 + 1)) // 2
if x1 + x2 == v1:
print("YES")
else:
print("NO")
else:
print("NO")
| Title: Funky Numbers
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as , where *k* is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.
A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number *n*, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!
Input Specification:
The first input line contains an integer *n* (1<=≤<=*n*<=≤<=109).
Output Specification:
Print "YES" (without the quotes), if *n* can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).
Demo Input:
['256\n', '512\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample number <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/92095692c6ea93e9e3b837a0408ba7543549d5b2.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample number 512 can not be represented as a sum of two triangular numbers. | ```python
v=input()
v1=int(v)
vv=[]
v2=int(v[-1])
for i in range(2,v2):
if v2%i==0 and v2//i != 0:
vv.append(i)
if len(vv) >= 2:
q1, q2 = vv[0], vv[1]
x1 = (q1 * q2) // 2
x2 = ((q1 * 11) * (q1 * 11 + 1)) // 2
if x1 + x2 == v1:
print("YES")
else:
print("NO")
else:
print("NO")
``` | 0 | |
266 | A | Stones on the Table | PROGRAMMING | 800 | [
"implementation"
] | null | null | There are *n* stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them. | The first line contains integer *n* (1<=≤<=*n*<=≤<=50) — the number of stones on the table.
The next line contains string *s*, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to *n* from left to right. Then the *i*-th character *s* equals "R", if the *i*-th stone is red, "G", if it's green and "B", if it's blue. | Print a single integer — the answer to the problem. | [
"3\nRRG\n",
"5\nRRRRR\n",
"4\nBRBG\n"
] | [
"1\n",
"4\n",
"0\n"
] | none | 500 | [
{
"input": "3\nRRG",
"output": "1"
},
{
"input": "5\nRRRRR",
"output": "4"
},
{
"input": "4\nBRBG",
"output": "0"
},
{
"input": "1\nB",
"output": "0"
},
{
"input": "2\nBG",
"output": "0"
},
{
"input": "3\nBGB",
"output": "0"
},
{
"input": "... | 1,695,229,318 | 2,147,483,647 | Python 3 | OK | TESTS | 34 | 92 | 0 | n = input()
n = int(n)
stones = input()
ans = 0
for i in range(1, n):
if stones[i] == stones[i-1]:
ans = ans + 1
print(ans)
| Title: Stones on the Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=50) — the number of stones on the table.
The next line contains string *s*, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to *n* from left to right. Then the *i*-th character *s* equals "R", if the *i*-th stone is red, "G", if it's green and "B", if it's blue.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['3\nRRG\n', '5\nRRRRR\n', '4\nBRBG\n']
Demo Output:
['1\n', '4\n', '0\n']
Note:
none | ```python
n = input()
n = int(n)
stones = input()
ans = 0
for i in range(1, n):
if stones[i] == stones[i-1]:
ans = ans + 1
print(ans)
``` | 3 | |
792 | B | Counting-out Rhyme | PROGRAMMING | 1,300 | [
"implementation"
] | null | null | *n* children are standing in a circle and playing the counting-out game. Children are numbered clockwise from 1 to *n*. In the beginning, the first child is considered the leader. The game is played in *k* steps. In the *i*-th step the leader counts out *a**i* people in clockwise order, starting from the next person. The last one to be pointed at by the leader is eliminated, and the next player after him becomes the new leader.
For example, if there are children with numbers [8,<=10,<=13,<=14,<=16] currently in the circle, the leader is child 13 and *a**i*<==<=12, then counting-out rhyme ends on child 16, who is eliminated. Child 8 becomes the leader.
You have to write a program which prints the number of the child to be eliminated on every step. | The first line contains two integer numbers *n* and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=*n*<=-<=1).
The next line contains *k* integer numbers *a*1,<=*a*2,<=...,<=*a**k* (1<=≤<=*a**i*<=≤<=109). | Print *k* numbers, the *i*-th one corresponds to the number of child to be eliminated at the *i*-th step. | [
"7 5\n10 4 11 4 1\n",
"3 2\n2 5\n"
] | [
"4 2 5 6 1 \n",
"3 2 \n"
] | Let's consider first example:
- In the first step child 4 is eliminated, child 5 becomes the leader. - In the second step child 2 is eliminated, child 3 becomes the leader. - In the third step child 5 is eliminated, child 6 becomes the leader. - In the fourth step child 6 is eliminated, child 7 becomes the leader. - In the final step child 1 is eliminated, child 3 becomes the leader. | 0 | [
{
"input": "7 5\n10 4 11 4 1",
"output": "4 2 5 6 1 "
},
{
"input": "3 2\n2 5",
"output": "3 2 "
},
{
"input": "2 1\n1",
"output": "2 "
},
{
"input": "2 1\n2",
"output": "1 "
},
{
"input": "2 1\n3",
"output": "2 "
},
{
"input": "10 7\n5 10 4 3 8 10 6",... | 1,637,303,391 | 291 | PyPy 3-64 | OK | TESTS | 22 | 62 | 0 | import sys
input = sys.stdin.readline
n, k = map(int, input().split())
l = sorted(list(range(1, n+1)))
c = 0
t = []
for i in [int(j) for j in input().split()]:
c = (c+i)%len(l)
t.append(l[c])
l = l[:c]+l[c+1:]
print(*t)
| Title: Counting-out Rhyme
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
*n* children are standing in a circle and playing the counting-out game. Children are numbered clockwise from 1 to *n*. In the beginning, the first child is considered the leader. The game is played in *k* steps. In the *i*-th step the leader counts out *a**i* people in clockwise order, starting from the next person. The last one to be pointed at by the leader is eliminated, and the next player after him becomes the new leader.
For example, if there are children with numbers [8,<=10,<=13,<=14,<=16] currently in the circle, the leader is child 13 and *a**i*<==<=12, then counting-out rhyme ends on child 16, who is eliminated. Child 8 becomes the leader.
You have to write a program which prints the number of the child to be eliminated on every step.
Input Specification:
The first line contains two integer numbers *n* and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=*n*<=-<=1).
The next line contains *k* integer numbers *a*1,<=*a*2,<=...,<=*a**k* (1<=≤<=*a**i*<=≤<=109).
Output Specification:
Print *k* numbers, the *i*-th one corresponds to the number of child to be eliminated at the *i*-th step.
Demo Input:
['7 5\n10 4 11 4 1\n', '3 2\n2 5\n']
Demo Output:
['4 2 5 6 1 \n', '3 2 \n']
Note:
Let's consider first example:
- In the first step child 4 is eliminated, child 5 becomes the leader. - In the second step child 2 is eliminated, child 3 becomes the leader. - In the third step child 5 is eliminated, child 6 becomes the leader. - In the fourth step child 6 is eliminated, child 7 becomes the leader. - In the final step child 1 is eliminated, child 3 becomes the leader. | ```python
import sys
input = sys.stdin.readline
n, k = map(int, input().split())
l = sorted(list(range(1, n+1)))
c = 0
t = []
for i in [int(j) for j in input().split()]:
c = (c+i)%len(l)
t.append(l[c])
l = l[:c]+l[c+1:]
print(*t)
``` | 3 |
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