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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
731 | A | Night at the Museum | PROGRAMMING | 800 | [
"implementation",
"strings"
] | null | null | Grigoriy, like the hero of one famous comedy film, found a job as a night security guard at the museum. At first night he received embosser and was to take stock of the whole exposition.
Embosser is a special devise that allows to "print" the text of a plastic tape. Text is printed sequentially, character by character. The device consists of a wheel with a lowercase English letters written in a circle, static pointer to the current letter and a button that print the chosen letter. At one move it's allowed to rotate the alphabetic wheel one step clockwise or counterclockwise. Initially, static pointer points to letter 'a'. Other letters are located as shown on the picture:
After Grigoriy add new item to the base he has to print its name on the plastic tape and attach it to the corresponding exhibit. It's not required to return the wheel to its initial position with pointer on the letter 'a'.
Our hero is afraid that some exhibits may become alive and start to attack him, so he wants to print the names as fast as possible. Help him, for the given string find the minimum number of rotations of the wheel required to print it. | The only line of input contains the name of some exhibit — the non-empty string consisting of no more than 100 characters. It's guaranteed that the string consists of only lowercase English letters. | Print one integer — the minimum number of rotations of the wheel, required to print the name given in the input. | [
"zeus\n",
"map\n",
"ares\n"
] | [
"18\n",
"35\n",
"34\n"
] | To print the string from the first sample it would be optimal to perform the following sequence of rotations:
1. from 'a' to 'z' (1 rotation counterclockwise), 1. from 'z' to 'e' (5 clockwise rotations), 1. from 'e' to 'u' (10 rotations counterclockwise), 1. from 'u' to 's' (2 counterclockwise rotations). | 500 | [
{
"input": "zeus",
"output": "18"
},
{
"input": "map",
"output": "35"
},
{
"input": "ares",
"output": "34"
},
{
"input": "l",
"output": "11"
},
{
"input": "abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuv",
"... | 1,699,451,677 | 2,147,483,647 | Python 3 | OK | TESTS | 44 | 31 | 0 | alph = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v',
'w', 'x', 'y', 'z']
name = input()
rotations = 0
previous = alph.index('a')
for letter in name:
afterwards = alph.index(letter)
distance = min((previous - afterwards) % 26, (afterwards - previous) % 26)
rotations += distance
previous = afterwards
print(rotations)
| Title: Night at the Museum
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Grigoriy, like the hero of one famous comedy film, found a job as a night security guard at the museum. At first night he received embosser and was to take stock of the whole exposition.
Embosser is a special devise that allows to "print" the text of a plastic tape. Text is printed sequentially, character by character. The device consists of a wheel with a lowercase English letters written in a circle, static pointer to the current letter and a button that print the chosen letter. At one move it's allowed to rotate the alphabetic wheel one step clockwise or counterclockwise. Initially, static pointer points to letter 'a'. Other letters are located as shown on the picture:
After Grigoriy add new item to the base he has to print its name on the plastic tape and attach it to the corresponding exhibit. It's not required to return the wheel to its initial position with pointer on the letter 'a'.
Our hero is afraid that some exhibits may become alive and start to attack him, so he wants to print the names as fast as possible. Help him, for the given string find the minimum number of rotations of the wheel required to print it.
Input Specification:
The only line of input contains the name of some exhibit — the non-empty string consisting of no more than 100 characters. It's guaranteed that the string consists of only lowercase English letters.
Output Specification:
Print one integer — the minimum number of rotations of the wheel, required to print the name given in the input.
Demo Input:
['zeus\n', 'map\n', 'ares\n']
Demo Output:
['18\n', '35\n', '34\n']
Note:
To print the string from the first sample it would be optimal to perform the following sequence of rotations:
1. from 'a' to 'z' (1 rotation counterclockwise), 1. from 'z' to 'e' (5 clockwise rotations), 1. from 'e' to 'u' (10 rotations counterclockwise), 1. from 'u' to 's' (2 counterclockwise rotations). | ```python
alph = ['a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v',
'w', 'x', 'y', 'z']
name = input()
rotations = 0
previous = alph.index('a')
for letter in name:
afterwards = alph.index(letter)
distance = min((previous - afterwards) % 26, (afterwards - previous) % 26)
rotations += distance
previous = afterwards
print(rotations)
``` | 3 | |
449 | B | Jzzhu and Cities | PROGRAMMING | 2,000 | [
"graphs",
"greedy",
"shortest paths"
] | null | null | Jzzhu is the president of country A. There are *n* cities numbered from 1 to *n* in his country. City 1 is the capital of A. Also there are *m* roads connecting the cities. One can go from city *u**i* to *v**i* (and vise versa) using the *i*-th road, the length of this road is *x**i*. Finally, there are *k* train routes in the country. One can use the *i*-th train route to go from capital of the country to city *s**i* (and vise versa), the length of this route is *y**i*.
Jzzhu doesn't want to waste the money of the country, so he is going to close some of the train routes. Please tell Jzzhu the maximum number of the train routes which can be closed under the following condition: the length of the shortest path from every city to the capital mustn't change. | The first line contains three integers *n*,<=*m*,<=*k* (2<=≤<=*n*<=≤<=105; 1<=≤<=*m*<=≤<=3·105; 1<=≤<=*k*<=≤<=105).
Each of the next *m* lines contains three integers *u**i*,<=*v**i*,<=*x**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*; *u**i*<=≠<=*v**i*; 1<=≤<=*x**i*<=≤<=109).
Each of the next *k* lines contains two integers *s**i* and *y**i* (2<=≤<=*s**i*<=≤<=*n*; 1<=≤<=*y**i*<=≤<=109).
It is guaranteed that there is at least one way from every city to the capital. Note, that there can be multiple roads between two cities. Also, there can be multiple routes going to the same city from the capital. | Output a single integer representing the maximum number of the train routes which can be closed. | [
"5 5 3\n1 2 1\n2 3 2\n1 3 3\n3 4 4\n1 5 5\n3 5\n4 5\n5 5\n",
"2 2 3\n1 2 2\n2 1 3\n2 1\n2 2\n2 3\n"
] | [
"2\n",
"2\n"
] | none | 1,000 | [
{
"input": "5 5 3\n1 2 1\n2 3 2\n1 3 3\n3 4 4\n1 5 5\n3 5\n4 5\n5 5",
"output": "2"
},
{
"input": "2 2 3\n1 2 2\n2 1 3\n2 1\n2 2\n2 3",
"output": "2"
},
{
"input": "5 4 3\n1 2 999999999\n2 3 1000000000\n3 4 529529529\n5 1 524524524\n5 524444444\n5 529999999\n2 1000000000",
"output": ... | 1,667,200,695 | 2,147,483,647 | PyPy 3-64 | RUNTIME_ERROR | TESTS | 2 | 77 | 2,764,800 | from heapq import heapify, heappop, heappush
n , m ,k = map(int , input().split())
graph = [[] for i in range(n)]
for i in range(0 , m):
a , b , d = map(int , input().split())
graph[a-1].append((b-1,d))
graph[b-1].append((a-1,d))
train = []
for i in range(k):
a , d = map(int , input().split())
train.append((a-1,d))
def djkestra(source):
heap = []
heapify(heap)
distance = [100000000] * n
distance[source]=0
s = set()
heappush(heap , (0 , source))
while len(s) < len(graph):
# print(heap)
minDistance , popedIndex = heappop(heap)
s.add(popedIndex)
for curNode , curDist in graph[popedIndex]:
# print(curNode , curDist)
#relaxation
if distance[curNode] > distance[popedIndex] + curDist:
distance[curNode] = distance[popedIndex] + curDist
heappush(heap , (distance[curNode] , curNode))
return distance
dist = djkestra(0)
ans = 0
for a , d in train:
if dist[a] <= d:
ans +=1
print(ans) | Title: Jzzhu and Cities
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Jzzhu is the president of country A. There are *n* cities numbered from 1 to *n* in his country. City 1 is the capital of A. Also there are *m* roads connecting the cities. One can go from city *u**i* to *v**i* (and vise versa) using the *i*-th road, the length of this road is *x**i*. Finally, there are *k* train routes in the country. One can use the *i*-th train route to go from capital of the country to city *s**i* (and vise versa), the length of this route is *y**i*.
Jzzhu doesn't want to waste the money of the country, so he is going to close some of the train routes. Please tell Jzzhu the maximum number of the train routes which can be closed under the following condition: the length of the shortest path from every city to the capital mustn't change.
Input Specification:
The first line contains three integers *n*,<=*m*,<=*k* (2<=≤<=*n*<=≤<=105; 1<=≤<=*m*<=≤<=3·105; 1<=≤<=*k*<=≤<=105).
Each of the next *m* lines contains three integers *u**i*,<=*v**i*,<=*x**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*; *u**i*<=≠<=*v**i*; 1<=≤<=*x**i*<=≤<=109).
Each of the next *k* lines contains two integers *s**i* and *y**i* (2<=≤<=*s**i*<=≤<=*n*; 1<=≤<=*y**i*<=≤<=109).
It is guaranteed that there is at least one way from every city to the capital. Note, that there can be multiple roads between two cities. Also, there can be multiple routes going to the same city from the capital.
Output Specification:
Output a single integer representing the maximum number of the train routes which can be closed.
Demo Input:
['5 5 3\n1 2 1\n2 3 2\n1 3 3\n3 4 4\n1 5 5\n3 5\n4 5\n5 5\n', '2 2 3\n1 2 2\n2 1 3\n2 1\n2 2\n2 3\n']
Demo Output:
['2\n', '2\n']
Note:
none | ```python
from heapq import heapify, heappop, heappush
n , m ,k = map(int , input().split())
graph = [[] for i in range(n)]
for i in range(0 , m):
a , b , d = map(int , input().split())
graph[a-1].append((b-1,d))
graph[b-1].append((a-1,d))
train = []
for i in range(k):
a , d = map(int , input().split())
train.append((a-1,d))
def djkestra(source):
heap = []
heapify(heap)
distance = [100000000] * n
distance[source]=0
s = set()
heappush(heap , (0 , source))
while len(s) < len(graph):
# print(heap)
minDistance , popedIndex = heappop(heap)
s.add(popedIndex)
for curNode , curDist in graph[popedIndex]:
# print(curNode , curDist)
#relaxation
if distance[curNode] > distance[popedIndex] + curDist:
distance[curNode] = distance[popedIndex] + curDist
heappush(heap , (distance[curNode] , curNode))
return distance
dist = djkestra(0)
ans = 0
for a , d in train:
if dist[a] <= d:
ans +=1
print(ans)
``` | -1 | |
358 | B | Dima and Text Messages | PROGRAMMING | 1,500 | [
"brute force",
"strings"
] | null | null | Seryozha has a very changeable character. This time he refused to leave the room to Dima and his girlfriend (her hame is Inna, by the way). However, the two lovebirds can always find a way to communicate. Today they are writing text messages to each other.
Dima and Inna are using a secret code in their text messages. When Dima wants to send Inna some sentence, he writes out all words, inserting a heart before each word and after the last word. A heart is a sequence of two characters: the "less" characters (<) and the digit three (3). After applying the code, a test message looks like that: <3*word*1<3*word*2<3 ... *word**n*<3.
Encoding doesn't end here. Then Dima inserts a random number of small English characters, digits, signs "more" and "less" into any places of the message.
Inna knows Dima perfectly well, so she knows what phrase Dima is going to send her beforehand. Inna has just got a text message. Help her find out if Dima encoded the message correctly. In other words, find out if a text message could have been received by encoding in the manner that is described above. | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of words in Dima's message. Next *n* lines contain non-empty words, one word per line. The words only consist of small English letters. The total length of all words doesn't exceed 105.
The last line contains non-empty text message that Inna has got. The number of characters in the text message doesn't exceed 105. A text message can contain only small English letters, digits and signs more and less. | In a single line, print "yes" (without the quotes), if Dima decoded the text message correctly, and "no" (without the quotes) otherwise. | [
"3\ni\nlove\nyou\n<3i<3love<23you<3\n",
"7\ni\nam\nnot\nmain\nin\nthe\nfamily\n<3i<>3am<3the<3<main<3in<3the<3><3family<3\n"
] | [
"yes\n",
"no\n"
] | Please note that Dima got a good old kick in the pants for the second sample from the statement. | 1,000 | [
{
"input": "3\ni\nlove\nyou\n<3i<3love<23you<3",
"output": "yes"
},
{
"input": "7\ni\nam\nnot\nmain\nin\nthe\nfamily\n<3i<>3am<3the<3<main<3in<3the<3><3family<3",
"output": "no"
},
{
"input": "3\ni\nlove\nyou\n<3i<3lo<3ve<3y<<<<<<<ou3<3",
"output": "yes"
},
{
"input": "4\na\n... | 1,601,632,430 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 170 | 2,252,800 | import sys, os.path
from collections import*
from copy import*
import math
mod=10**9+7
if(os.path.exists('input.txt')):
sys.stdin = open("input.txt","r")
sys.stdout = open("output.txt","w")
n=int(input())
fake='<3'
for i in range(n):
s1=input()
fake+=s1
fake+='<3'
n1=len(fake)
text=input()
m=len(text)
if(n1>m):
print("NO")
else:
c=0
j=0
i=0
while(i<m and j<n1):
if(fake[j]==text[i]):
c+=1
j+=1
i+=1
if(c==n1):
print("YES")
else:
print("NO")
| Title: Dima and Text Messages
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Seryozha has a very changeable character. This time he refused to leave the room to Dima and his girlfriend (her hame is Inna, by the way). However, the two lovebirds can always find a way to communicate. Today they are writing text messages to each other.
Dima and Inna are using a secret code in their text messages. When Dima wants to send Inna some sentence, he writes out all words, inserting a heart before each word and after the last word. A heart is a sequence of two characters: the "less" characters (<) and the digit three (3). After applying the code, a test message looks like that: <3*word*1<3*word*2<3 ... *word**n*<3.
Encoding doesn't end here. Then Dima inserts a random number of small English characters, digits, signs "more" and "less" into any places of the message.
Inna knows Dima perfectly well, so she knows what phrase Dima is going to send her beforehand. Inna has just got a text message. Help her find out if Dima encoded the message correctly. In other words, find out if a text message could have been received by encoding in the manner that is described above.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of words in Dima's message. Next *n* lines contain non-empty words, one word per line. The words only consist of small English letters. The total length of all words doesn't exceed 105.
The last line contains non-empty text message that Inna has got. The number of characters in the text message doesn't exceed 105. A text message can contain only small English letters, digits and signs more and less.
Output Specification:
In a single line, print "yes" (without the quotes), if Dima decoded the text message correctly, and "no" (without the quotes) otherwise.
Demo Input:
['3\ni\nlove\nyou\n<3i<3love<23you<3\n', '7\ni\nam\nnot\nmain\nin\nthe\nfamily\n<3i<>3am<3the<3<main<3in<3the<3><3family<3\n']
Demo Output:
['yes\n', 'no\n']
Note:
Please note that Dima got a good old kick in the pants for the second sample from the statement. | ```python
import sys, os.path
from collections import*
from copy import*
import math
mod=10**9+7
if(os.path.exists('input.txt')):
sys.stdin = open("input.txt","r")
sys.stdout = open("output.txt","w")
n=int(input())
fake='<3'
for i in range(n):
s1=input()
fake+=s1
fake+='<3'
n1=len(fake)
text=input()
m=len(text)
if(n1>m):
print("NO")
else:
c=0
j=0
i=0
while(i<m and j<n1):
if(fake[j]==text[i]):
c+=1
j+=1
i+=1
if(c==n1):
print("YES")
else:
print("NO")
``` | 0 | |
928 | A | Login Verification | PROGRAMMING | 1,200 | [
"*special",
"strings"
] | null | null | When registering in a social network, users are allowed to create their own convenient login to make it easier to share contacts, print it on business cards, etc.
Login is an arbitrary sequence of lower and uppercase latin letters, digits and underline symbols («_»). However, in order to decrease the number of frauds and user-inattention related issues, it is prohibited to register a login if it is similar with an already existing login. More precisely, two logins *s* and *t* are considered similar if we can transform *s* to *t* via a sequence of operations of the following types:
- transform lowercase letters to uppercase and vice versa; - change letter «O» (uppercase latin letter) to digit «0» and vice versa; - change digit «1» (one) to any letter among «l» (lowercase latin «L»), «I» (uppercase latin «i») and vice versa, or change one of these letters to other.
For example, logins «Codeforces» and «codef0rces» as well as «OO0OOO00O0OOO0O00OOO0OO_lol» and «OO0OOO0O00OOO0O00OO0OOO_1oI» are considered similar whereas «Codeforces» and «Code_forces» are not.
You're given a list of existing logins with no two similar amonst and a newly created user login. Check whether this new login is similar with any of the existing ones. | The first line contains a non-empty string *s* consisting of lower and uppercase latin letters, digits and underline symbols («_») with length not exceeding 50 — the login itself.
The second line contains a single integer *n* (1<=≤<=*n*<=≤<=1<=000) — the number of existing logins.
The next *n* lines describe the existing logins, following the same constraints as the user login (refer to the first line of the input). It's guaranteed that no two existing logins are similar. | Print «Yes» (without quotes), if user can register via this login, i.e. none of the existing logins is similar with it.
Otherwise print «No» (without quotes). | [
"1_wat\n2\n2_wat\nwat_1\n",
"000\n3\n00\nooA\noOo\n",
"_i_\n3\n__i_\n_1_\nI\n",
"La0\n3\n2a0\nLa1\n1a0\n",
"abc\n1\naBc\n",
"0Lil\n2\nLIL0\n0Ril\n"
] | [
"Yes\n",
"No\n",
"No\n",
"No\n",
"No\n",
"Yes\n"
] | In the second sample case the user wants to create a login consisting of three zeros. It's impossible due to collision with the third among the existing.
In the third sample case the new login is similar with the second one. | 500 | [
{
"input": "1_wat\n2\n2_wat\nwat_1",
"output": "Yes"
},
{
"input": "000\n3\n00\nooA\noOo",
"output": "No"
},
{
"input": "_i_\n3\n__i_\n_1_\nI",
"output": "No"
},
{
"input": "La0\n3\n2a0\nLa1\n1a0",
"output": "No"
},
{
"input": "abc\n1\naBc",
"output": "No"
}... | 1,519,487,663 | 1,163 | Python 3 | OK | TESTS | 73 | 93 | 5,632,000 | ss = input()
st = ""
for j in range(len(ss)):
c = ss[j]
if 'A' <= c <= 'Z':
c = chr(ord(c) + ord('a') - ord('A'))
if c == 'o':
c = '0'
if c == 'l' or c == 'i':
c = '1'
st += c
s = st
n = int(input())
for i in range(n):
ss = input()
st = ""
for j in range(len(ss)):
c = ss[j]
if 'A' <= c <= 'Z':
c = chr(ord(c) + ord('a') - ord('A'))
if c == 'o':
c = '0'
if c == 'l' or c == 'i':
c = '1'
st += c
if s == st:
print("No")
exit()
print("Yes")
| Title: Login Verification
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
When registering in a social network, users are allowed to create their own convenient login to make it easier to share contacts, print it on business cards, etc.
Login is an arbitrary sequence of lower and uppercase latin letters, digits and underline symbols («_»). However, in order to decrease the number of frauds and user-inattention related issues, it is prohibited to register a login if it is similar with an already existing login. More precisely, two logins *s* and *t* are considered similar if we can transform *s* to *t* via a sequence of operations of the following types:
- transform lowercase letters to uppercase and vice versa; - change letter «O» (uppercase latin letter) to digit «0» and vice versa; - change digit «1» (one) to any letter among «l» (lowercase latin «L»), «I» (uppercase latin «i») and vice versa, or change one of these letters to other.
For example, logins «Codeforces» and «codef0rces» as well as «OO0OOO00O0OOO0O00OOO0OO_lol» and «OO0OOO0O00OOO0O00OO0OOO_1oI» are considered similar whereas «Codeforces» and «Code_forces» are not.
You're given a list of existing logins with no two similar amonst and a newly created user login. Check whether this new login is similar with any of the existing ones.
Input Specification:
The first line contains a non-empty string *s* consisting of lower and uppercase latin letters, digits and underline symbols («_») with length not exceeding 50 — the login itself.
The second line contains a single integer *n* (1<=≤<=*n*<=≤<=1<=000) — the number of existing logins.
The next *n* lines describe the existing logins, following the same constraints as the user login (refer to the first line of the input). It's guaranteed that no two existing logins are similar.
Output Specification:
Print «Yes» (without quotes), if user can register via this login, i.e. none of the existing logins is similar with it.
Otherwise print «No» (without quotes).
Demo Input:
['1_wat\n2\n2_wat\nwat_1\n', '000\n3\n00\nooA\noOo\n', '_i_\n3\n__i_\n_1_\nI\n', 'La0\n3\n2a0\nLa1\n1a0\n', 'abc\n1\naBc\n', '0Lil\n2\nLIL0\n0Ril\n']
Demo Output:
['Yes\n', 'No\n', 'No\n', 'No\n', 'No\n', 'Yes\n']
Note:
In the second sample case the user wants to create a login consisting of three zeros. It's impossible due to collision with the third among the existing.
In the third sample case the new login is similar with the second one. | ```python
ss = input()
st = ""
for j in range(len(ss)):
c = ss[j]
if 'A' <= c <= 'Z':
c = chr(ord(c) + ord('a') - ord('A'))
if c == 'o':
c = '0'
if c == 'l' or c == 'i':
c = '1'
st += c
s = st
n = int(input())
for i in range(n):
ss = input()
st = ""
for j in range(len(ss)):
c = ss[j]
if 'A' <= c <= 'Z':
c = chr(ord(c) + ord('a') - ord('A'))
if c == 'o':
c = '0'
if c == 'l' or c == 'i':
c = '1'
st += c
if s == st:
print("No")
exit()
print("Yes")
``` | 3 | |
34 | C | Page Numbers | PROGRAMMING | 1,300 | [
"expression parsing",
"implementation",
"sortings",
"strings"
] | C. Page Numbers | 2 | 256 | «Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).
Your task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format *l*1-*r*1,*l*2-*r*2,...,*l**k*-*r**k*, where *r**i*<=+<=1<=<<=*l**i*<=+<=1 for all *i* from 1 to *k*<=-<=1, and *l**i*<=≤<=*r**i*. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element *i* from the new sequence *l**i*<==<=*r**i*, this element should be output as *l**i*, and not as «*l**i*<=-<=*l**i*».
For example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6. | The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row. | Output the sequence in the required format. | [
"1,2,3,1,1,2,6,6,2\n",
"3,2,1\n",
"30,20,10\n"
] | [
"1-3,6\n",
"1-3\n",
"10,20,30\n"
] | none | 1,500 | [
{
"input": "1,2,3,1,1,2,6,6,2",
"output": "1-3,6"
},
{
"input": "3,2,1",
"output": "1-3"
},
{
"input": "30,20,10",
"output": "10,20,30"
},
{
"input": "826,747,849,687,437",
"output": "437,687,747,826,849"
},
{
"input": "999,999,993,969,999",
"output": "969,993... | 1,658,142,001 | 2,147,483,647 | Python 3 | OK | TESTS | 26 | 92 | 0 | a = sorted(set(map(int, input().split(","))))
left = right = a[0]
for x in a[1:]:
if x - right > 1:
if left == right:
print(left, end=",")
else:
print(left, right, sep="-", end=",")
left = x
right = x
if left == right:
print(left)
else:
print(left, right, sep="-")
| Title: Page Numbers
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
«Bersoft» company is working on a new version of its most popular text editor — Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces).
Your task is to write a part of the program, responsible for «standardization» of this sequence. Your program gets the sequence, keyed by the user, as input. The program should output this sequence in format *l*1-*r*1,*l*2-*r*2,...,*l**k*-*r**k*, where *r**i*<=+<=1<=<<=*l**i*<=+<=1 for all *i* from 1 to *k*<=-<=1, and *l**i*<=≤<=*r**i*. The new sequence should contain all the page numbers, keyed by the user, and nothing else. If some page number appears in the input sequence several times, its appearances, starting from the second one, should be ignored. If for some element *i* from the new sequence *l**i*<==<=*r**i*, this element should be output as *l**i*, and not as «*l**i*<=-<=*l**i*».
For example, sequence 1,2,3,1,1,2,6,6,2 should be output as 1-3,6.
Input Specification:
The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, can't end with a comma, and the numbers don't contain leading zeroes. Also it doesn't start with a comma or contain more than one comma in a row.
Output Specification:
Output the sequence in the required format.
Demo Input:
['1,2,3,1,1,2,6,6,2\n', '3,2,1\n', '30,20,10\n']
Demo Output:
['1-3,6\n', '1-3\n', '10,20,30\n']
Note:
none | ```python
a = sorted(set(map(int, input().split(","))))
left = right = a[0]
for x in a[1:]:
if x - right > 1:
if left == right:
print(left, end=",")
else:
print(left, right, sep="-", end=",")
left = x
right = x
if left == right:
print(left)
else:
print(left, right, sep="-")
``` | 3.977 |
471 | A | MUH and Sticks | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | Two polar bears Menshykov and Uslada from the St.Petersburg zoo and elephant Horace from the Kiev zoo got six sticks to play with and assess the animals' creativity. Menshykov, Uslada and Horace decided to make either an elephant or a bear from those sticks. They can make an animal from sticks in the following way:
- Four sticks represent the animal's legs, these sticks should have the same length. - Two remaining sticks represent the animal's head and body. The bear's head stick must be shorter than the body stick. The elephant, however, has a long trunk, so his head stick must be as long as the body stick. Note that there are no limits on the relations between the leg sticks and the head and body sticks.
Your task is to find out which animal can be made from the given stick set. The zoo keeper wants the sticks back after the game, so they must never be broken, even bears understand it. | The single line contains six space-separated integers *l**i* (1<=≤<=*l**i*<=≤<=9) — the lengths of the six sticks. It is guaranteed that the input is such that you cannot make both animals from the sticks. | If you can make a bear from the given set, print string "Bear" (without the quotes). If you can make an elephant, print string "Elephant" (wıthout the quotes). If you can make neither a bear nor an elephant, print string "Alien" (without the quotes). | [
"4 2 5 4 4 4\n",
"4 4 5 4 4 5\n",
"1 2 3 4 5 6\n"
] | [
"Bear",
"Elephant",
"Alien"
] | If you're out of creative ideas, see instructions below which show how to make a bear and an elephant in the first two samples. The stick of length 2 is in red, the sticks of length 4 are in green, the sticks of length 5 are in blue. | 500 | [
{
"input": "4 2 5 4 4 4",
"output": "Bear"
},
{
"input": "4 4 5 4 4 5",
"output": "Elephant"
},
{
"input": "1 2 3 4 5 6",
"output": "Alien"
},
{
"input": "5 5 5 5 5 5",
"output": "Elephant"
},
{
"input": "1 1 1 2 3 5",
"output": "Alien"
},
{
"input": "... | 1,488,640,878 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 8 | 46 | 4,608,000 | '''input
4 2 5 4 4 4
'''
l = list(map(int, input().split()))
x = sorted([l.count(i) for i in set(l)])
if x == [6] or x == [2, 4]:
print("Elephant")
elif x == [1, 1, 4]:
print("Bear")
else:
print("Alien")
| Title: MUH and Sticks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Two polar bears Menshykov and Uslada from the St.Petersburg zoo and elephant Horace from the Kiev zoo got six sticks to play with and assess the animals' creativity. Menshykov, Uslada and Horace decided to make either an elephant or a bear from those sticks. They can make an animal from sticks in the following way:
- Four sticks represent the animal's legs, these sticks should have the same length. - Two remaining sticks represent the animal's head and body. The bear's head stick must be shorter than the body stick. The elephant, however, has a long trunk, so his head stick must be as long as the body stick. Note that there are no limits on the relations between the leg sticks and the head and body sticks.
Your task is to find out which animal can be made from the given stick set. The zoo keeper wants the sticks back after the game, so they must never be broken, even bears understand it.
Input Specification:
The single line contains six space-separated integers *l**i* (1<=≤<=*l**i*<=≤<=9) — the lengths of the six sticks. It is guaranteed that the input is such that you cannot make both animals from the sticks.
Output Specification:
If you can make a bear from the given set, print string "Bear" (without the quotes). If you can make an elephant, print string "Elephant" (wıthout the quotes). If you can make neither a bear nor an elephant, print string "Alien" (without the quotes).
Demo Input:
['4 2 5 4 4 4\n', '4 4 5 4 4 5\n', '1 2 3 4 5 6\n']
Demo Output:
['Bear', 'Elephant', 'Alien']
Note:
If you're out of creative ideas, see instructions below which show how to make a bear and an elephant in the first two samples. The stick of length 2 is in red, the sticks of length 4 are in green, the sticks of length 5 are in blue. | ```python
'''input
4 2 5 4 4 4
'''
l = list(map(int, input().split()))
x = sorted([l.count(i) for i in set(l)])
if x == [6] or x == [2, 4]:
print("Elephant")
elif x == [1, 1, 4]:
print("Bear")
else:
print("Alien")
``` | 0 | |
339 | A | Helpful Maths | PROGRAMMING | 800 | [
"greedy",
"implementation",
"sortings",
"strings"
] | null | null | Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum. | The first line contains a non-empty string *s* — the sum Xenia needs to count. String *s* contains no spaces. It only contains digits and characters "+". Besides, string *s* is a correct sum of numbers 1, 2 and 3. String *s* is at most 100 characters long. | Print the new sum that Xenia can count. | [
"3+2+1\n",
"1+1+3+1+3\n",
"2\n"
] | [
"1+2+3\n",
"1+1+1+3+3\n",
"2\n"
] | none | 500 | [
{
"input": "3+2+1",
"output": "1+2+3"
},
{
"input": "1+1+3+1+3",
"output": "1+1+1+3+3"
},
{
"input": "2",
"output": "2"
},
{
"input": "2+2+1+1+3",
"output": "1+1+2+2+3"
},
{
"input": "2+1+2+2+2+3+1+3+1+2",
"output": "1+1+1+2+2+2+2+2+3+3"
},
{
"input": ... | 1,699,968,551 | 2,147,483,647 | Python 3 | OK | TESTS | 21 | 92 | 0 | s1 = input()
nums=[]
for i in s1 :
if i.isdigit():
nums.append(("+"+i))
nums.sort()
x=("".join(nums[0:]))
print(x.replace("+","",1))
| Title: Helpful Maths
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation.
The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xenia. She is only beginning to count, so she can calculate a sum only if the summands follow in non-decreasing order. For example, she can't calculate sum 1+3+2+1 but she can calculate sums 1+1+2 and 3+3.
You've got the sum that was written on the board. Rearrange the summans and print the sum in such a way that Xenia can calculate the sum.
Input Specification:
The first line contains a non-empty string *s* — the sum Xenia needs to count. String *s* contains no spaces. It only contains digits and characters "+". Besides, string *s* is a correct sum of numbers 1, 2 and 3. String *s* is at most 100 characters long.
Output Specification:
Print the new sum that Xenia can count.
Demo Input:
['3+2+1\n', '1+1+3+1+3\n', '2\n']
Demo Output:
['1+2+3\n', '1+1+1+3+3\n', '2\n']
Note:
none | ```python
s1 = input()
nums=[]
for i in s1 :
if i.isdigit():
nums.append(("+"+i))
nums.sort()
x=("".join(nums[0:]))
print(x.replace("+","",1))
``` | 3 | |
766 | A | Mahmoud and Longest Uncommon Subsequence | PROGRAMMING | 1,000 | [
"constructive algorithms",
"strings"
] | null | null | While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem.
Given two strings *a* and *b*, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence of one of them and not a subsequence of the other.
A subsequence of some string is a sequence of characters that appears in the same order in the string, The appearances don't have to be consecutive, for example, strings "ac", "bc", "abc" and "a" are subsequences of string "abc" while strings "abbc" and "acb" are not. The empty string is a subsequence of any string. Any string is a subsequence of itself. | The first line contains string *a*, and the second line — string *b*. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters. | If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of *a* and *b*. | [
"abcd\ndefgh\n",
"a\na\n"
] | [
"5\n",
"-1\n"
] | In the first example: you can choose "defgh" from string *b* as it is the longest subsequence of string *b* that doesn't appear as a subsequence of string *a*. | 500 | [
{
"input": "abcd\ndefgh",
"output": "5"
},
{
"input": "a\na",
"output": "-1"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaacccccccccccccccccccccccccccccccccccccccccccccccccc\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadddddddddddddddddddddddddddddddddddddddddddd... | 1,634,931,394 | 2,147,483,647 | Python 3 | OK | TESTS | 73 | 46 | 4,608,000 | s1 = input()
s2 = input()
if s1 == s2:
print(-1)
elif len(s1) > len(s2):
print(len(s1))
elif len(s2) > len(s1):
print(len(s2))
else:
print(len(s1)) | Title: Mahmoud and Longest Uncommon Subsequence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem.
Given two strings *a* and *b*, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence of one of them and not a subsequence of the other.
A subsequence of some string is a sequence of characters that appears in the same order in the string, The appearances don't have to be consecutive, for example, strings "ac", "bc", "abc" and "a" are subsequences of string "abc" while strings "abbc" and "acb" are not. The empty string is a subsequence of any string. Any string is a subsequence of itself.
Input Specification:
The first line contains string *a*, and the second line — string *b*. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters.
Output Specification:
If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of *a* and *b*.
Demo Input:
['abcd\ndefgh\n', 'a\na\n']
Demo Output:
['5\n', '-1\n']
Note:
In the first example: you can choose "defgh" from string *b* as it is the longest subsequence of string *b* that doesn't appear as a subsequence of string *a*. | ```python
s1 = input()
s2 = input()
if s1 == s2:
print(-1)
elif len(s1) > len(s2):
print(len(s1))
elif len(s2) > len(s1):
print(len(s2))
else:
print(len(s1))
``` | 3 | |
58 | A | Chat room | PROGRAMMING | 1,000 | [
"greedy",
"strings"
] | A. Chat room | 1 | 256 | Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*. | The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters. | If Vasya managed to say hello, print "YES", otherwise print "NO". | [
"ahhellllloou\n",
"hlelo\n"
] | [
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "ahhellllloou",
"output": "YES"
},
{
"input": "hlelo",
"output": "NO"
},
{
"input": "helhcludoo",
"output": "YES"
},
{
"input": "hehwelloho",
"output": "YES"
},
{
"input": "pnnepelqomhhheollvlo",
"output": "YES"
},
{
"input": "tymbzjyqhymeda... | 1,672,823,236 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 4 | 46 | 0 | d=['h','e','l','o']
a=list(input())
e=[]
for j in a:
if j not in e and j in d:
e.append(j)
if e==d and a.count('l')>=2:
print("YES")
else:
print("NO")
| Title: Chat room
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
Input Specification:
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
Output Specification:
If Vasya managed to say hello, print "YES", otherwise print "NO".
Demo Input:
['ahhellllloou\n', 'hlelo\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none | ```python
d=['h','e','l','o']
a=list(input())
e=[]
for j in a:
if j not in e and j in d:
e.append(j)
if e==d and a.count('l')>=2:
print("YES")
else:
print("NO")
``` | 0 |
978 | B | File Name | PROGRAMMING | 800 | [
"greedy",
"strings"
] | null | null | You can not just take the file and send it. When Polycarp trying to send a file in the social network "Codehorses", he encountered an unexpected problem. If the name of the file contains three or more "x" (lowercase Latin letters "x") in a row, the system considers that the file content does not correspond to the social network topic. In this case, the file is not sent and an error message is displayed.
Determine the minimum number of characters to remove from the file name so after that the name does not contain "xxx" as a substring. Print 0 if the file name does not initially contain a forbidden substring "xxx".
You can delete characters in arbitrary positions (not necessarily consecutive). If you delete a character, then the length of a string is reduced by $1$. For example, if you delete the character in the position $2$ from the string "exxxii", then the resulting string is "exxii". | The first line contains integer $n$ $(3 \le n \le 100)$ — the length of the file name.
The second line contains a string of length $n$ consisting of lowercase Latin letters only — the file name. | Print the minimum number of characters to remove from the file name so after that the name does not contain "xxx" as a substring. If initially the file name dost not contain a forbidden substring "xxx", print 0. | [
"6\nxxxiii\n",
"5\nxxoxx\n",
"10\nxxxxxxxxxx\n"
] | [
"1\n",
"0\n",
"8\n"
] | In the first example Polycarp tried to send a file with name contains number $33$, written in Roman numerals. But he can not just send the file, because it name contains three letters "x" in a row. To send the file he needs to remove any one of this letters. | 0 | [
{
"input": "6\nxxxiii",
"output": "1"
},
{
"input": "5\nxxoxx",
"output": "0"
},
{
"input": "10\nxxxxxxxxxx",
"output": "8"
},
{
"input": "100\nxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx",
"output": "98"
},
{
... | 1,677,090,482 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 7 | 46 | 0 | n = int(input())
l = list(input())
count = 0
for x in reversed(range(n)):
if x < 2:
break
if l[x] == "x" and l[x-1] == "x" and l[x-2] == "x":
l.remove(l[x])
count = count + 1
print(count) | Title: File Name
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You can not just take the file and send it. When Polycarp trying to send a file in the social network "Codehorses", he encountered an unexpected problem. If the name of the file contains three or more "x" (lowercase Latin letters "x") in a row, the system considers that the file content does not correspond to the social network topic. In this case, the file is not sent and an error message is displayed.
Determine the minimum number of characters to remove from the file name so after that the name does not contain "xxx" as a substring. Print 0 if the file name does not initially contain a forbidden substring "xxx".
You can delete characters in arbitrary positions (not necessarily consecutive). If you delete a character, then the length of a string is reduced by $1$. For example, if you delete the character in the position $2$ from the string "exxxii", then the resulting string is "exxii".
Input Specification:
The first line contains integer $n$ $(3 \le n \le 100)$ — the length of the file name.
The second line contains a string of length $n$ consisting of lowercase Latin letters only — the file name.
Output Specification:
Print the minimum number of characters to remove from the file name so after that the name does not contain "xxx" as a substring. If initially the file name dost not contain a forbidden substring "xxx", print 0.
Demo Input:
['6\nxxxiii\n', '5\nxxoxx\n', '10\nxxxxxxxxxx\n']
Demo Output:
['1\n', '0\n', '8\n']
Note:
In the first example Polycarp tried to send a file with name contains number $33$, written in Roman numerals. But he can not just send the file, because it name contains three letters "x" in a row. To send the file he needs to remove any one of this letters. | ```python
n = int(input())
l = list(input())
count = 0
for x in reversed(range(n)):
if x < 2:
break
if l[x] == "x" and l[x-1] == "x" and l[x-2] == "x":
l.remove(l[x])
count = count + 1
print(count)
``` | 0 | |
298 | A | Snow Footprints | PROGRAMMING | 1,300 | [
"greedy",
"implementation"
] | null | null | There is a straight snowy road, divided into *n* blocks. The blocks are numbered from 1 to *n* from left to right. If one moves from the *i*-th block to the (*i*<=+<=1)-th block, he will leave a right footprint on the *i*-th block. Similarly, if one moves from the *i*-th block to the (*i*<=-<=1)-th block, he will leave a left footprint on the *i*-th block. If there already is a footprint on the *i*-th block, the new footprint will cover the old one.
At the beginning, there were no footprints. Then polar bear Alice starts from the *s*-th block, makes a sequence of moves and ends in the *t*-th block. It is known that Alice never moves outside of the road.
You are given the description of Alice's footprints. Your task is to find a pair of possible values of *s*,<=*t* by looking at the footprints. | The first line of the input contains integer *n* (3<=≤<=*n*<=≤<=1000).
The second line contains the description of the road — the string that consists of *n* characters. Each character will be either "." (a block without footprint), or "L" (a block with a left footprint), "R" (a block with a right footprint).
It's guaranteed that the given string contains at least one character not equal to ".". Also, the first and the last character will always be ".". It's guaranteed that a solution exists. | Print two space-separated integers — the values of *s* and *t*. If there are several possible solutions you can print any of them. | [
"9\n..RRLL...\n",
"11\n.RRRLLLLL..\n"
] | [
"3 4\n",
"7 5\n"
] | The first test sample is the one in the picture. | 500 | [
{
"input": "11\n.RRRLLLLL..",
"output": "7 5"
},
{
"input": "4\n.RL.",
"output": "3 2"
},
{
"input": "3\n.L.",
"output": "2 1"
},
{
"input": "3\n.R.",
"output": "2 3"
}
] | 1,663,530,730 | 2,147,483,647 | Python 3 | OK | TESTS | 23 | 92 | 409,600 | import string
n=int(input())
s=input()
if 'L' not in s:
print(s.find('R')+1,s.rfind('R')+2)
elif 'R' not in s:
print(s.rfind('L')+1,s.find('L'))
elif 'R' in s and 'L' in s:
print(s.find('R')+1,s.find("L")) | Title: Snow Footprints
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There is a straight snowy road, divided into *n* blocks. The blocks are numbered from 1 to *n* from left to right. If one moves from the *i*-th block to the (*i*<=+<=1)-th block, he will leave a right footprint on the *i*-th block. Similarly, if one moves from the *i*-th block to the (*i*<=-<=1)-th block, he will leave a left footprint on the *i*-th block. If there already is a footprint on the *i*-th block, the new footprint will cover the old one.
At the beginning, there were no footprints. Then polar bear Alice starts from the *s*-th block, makes a sequence of moves and ends in the *t*-th block. It is known that Alice never moves outside of the road.
You are given the description of Alice's footprints. Your task is to find a pair of possible values of *s*,<=*t* by looking at the footprints.
Input Specification:
The first line of the input contains integer *n* (3<=≤<=*n*<=≤<=1000).
The second line contains the description of the road — the string that consists of *n* characters. Each character will be either "." (a block without footprint), or "L" (a block with a left footprint), "R" (a block with a right footprint).
It's guaranteed that the given string contains at least one character not equal to ".". Also, the first and the last character will always be ".". It's guaranteed that a solution exists.
Output Specification:
Print two space-separated integers — the values of *s* and *t*. If there are several possible solutions you can print any of them.
Demo Input:
['9\n..RRLL...\n', '11\n.RRRLLLLL..\n']
Demo Output:
['3 4\n', '7 5\n']
Note:
The first test sample is the one in the picture. | ```python
import string
n=int(input())
s=input()
if 'L' not in s:
print(s.find('R')+1,s.rfind('R')+2)
elif 'R' not in s:
print(s.rfind('L')+1,s.find('L'))
elif 'R' in s and 'L' in s:
print(s.find('R')+1,s.find("L"))
``` | 3 | |
610 | A | Pasha and Stick | PROGRAMMING | 1,000 | [
"combinatorics",
"math"
] | null | null | Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way. | The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick. | The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square. | [
"6\n",
"20\n"
] | [
"1\n",
"4\n"
] | There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | 500 | [
{
"input": "6",
"output": "1"
},
{
"input": "20",
"output": "4"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "3",
"output": "0"
},
{
"input": "4",
"output": "0"
},
{
"input": "2000000000",
"output": "4... | 1,622,644,484 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 93 | 0 | num = int(input())
if num % 2 == 1 or num < 5:
print("NO")
else:
cnt = 0
for i in range(1, num // 4+1):
ans = [i, i, num // 2 - i, num // 2 - i]
if len(set(ans)) != 1:
cnt += 1
print(cnt)
| Title: Pasha and Stick
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way.
Input Specification:
The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick.
Output Specification:
The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square.
Demo Input:
['6\n', '20\n']
Demo Output:
['1\n', '4\n']
Note:
There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | ```python
num = int(input())
if num % 2 == 1 or num < 5:
print("NO")
else:
cnt = 0
for i in range(1, num // 4+1):
ans = [i, i, num // 2 - i, num // 2 - i]
if len(set(ans)) != 1:
cnt += 1
print(cnt)
``` | 0 | |
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... | 1,580,587,556 | 5,396 | PyPy 3 | WRONG_ANSWER | TESTS | 12 | 155 | 3,891,200 | from math import log2
def hp2(n):
if n % 2 != 0: return 0
return round(log2((n & (~(n - 1)))))
def hp5(n):
if n % 5 != 0: return 0
p = 1
m = 5
while n % m == 0:
p += 1
m *= 5
return p - 1
def extract(x):
t, f = hp2(x), hp5(x)
zeros = min(t, f)
# print("extracting", x, (zeros, t - zeros, f - zeros))
return (zeros, t - zeros, f - zeros)
inf = float("Inf")
def count(x, y):
if(memo[x][y] != None):
return memo[x][y]
tempZ, tempT, tempF = extract(m[x][y])
step = -1 # 0 for up, 1 for left, -1 for start
if x == 0 and y == 0:
ans = (tempZ, tempT, tempF)
else:
ans = (inf, inf, inf)
if x > 0:
temp = count(x - 1, y)
z = temp[0] + tempZ
netF, netT = temp[2] + tempF, temp[1] + tempT
k = min(netF, netT)
z += k
if z < ans[0]:
step = 0
ans = (z, netT - k, netF - k)
if y > 0:
temp = count(x, y - 1)
z = temp[0] + tempZ
netF, netT = temp[2] + tempF, temp[1] + tempT
k = min(netF, netT)
z += k
if z < ans[0]:
step = 1
ans = (z, netT - k, netF - k)
# print(x, y, ans, "from", "left" if step == 0 else "right")
memo[x][y] = ans
steps[x][y] = step
return ans
n = int(input())
m = [[0 for i in range(n)] for i in range(n)]
memo = [[None for i in range(n)] for i in range(n)]
steps = [[-1 for i in range(n)] for i in range(n)]
for i in range(n):
r = [int(k) for k in input().split()]
for j in range(n):
m[i][j] = r[j]
ans = count(n - 1, n - 1)[0]
path = ""
x, y = n - 1, n - 1
while not (x == 0 and y == 0):
# print(steps[x][y])
if steps[x][y] == 0:
path = "D" + path
x -= 1
else:
path = "R" + path
y -= 1
print(ans)
print(path)
| 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
from math import log2
def hp2(n):
if n % 2 != 0: return 0
return round(log2((n & (~(n - 1)))))
def hp5(n):
if n % 5 != 0: return 0
p = 1
m = 5
while n % m == 0:
p += 1
m *= 5
return p - 1
def extract(x):
t, f = hp2(x), hp5(x)
zeros = min(t, f)
# print("extracting", x, (zeros, t - zeros, f - zeros))
return (zeros, t - zeros, f - zeros)
inf = float("Inf")
def count(x, y):
if(memo[x][y] != None):
return memo[x][y]
tempZ, tempT, tempF = extract(m[x][y])
step = -1 # 0 for up, 1 for left, -1 for start
if x == 0 and y == 0:
ans = (tempZ, tempT, tempF)
else:
ans = (inf, inf, inf)
if x > 0:
temp = count(x - 1, y)
z = temp[0] + tempZ
netF, netT = temp[2] + tempF, temp[1] + tempT
k = min(netF, netT)
z += k
if z < ans[0]:
step = 0
ans = (z, netT - k, netF - k)
if y > 0:
temp = count(x, y - 1)
z = temp[0] + tempZ
netF, netT = temp[2] + tempF, temp[1] + tempT
k = min(netF, netT)
z += k
if z < ans[0]:
step = 1
ans = (z, netT - k, netF - k)
# print(x, y, ans, "from", "left" if step == 0 else "right")
memo[x][y] = ans
steps[x][y] = step
return ans
n = int(input())
m = [[0 for i in range(n)] for i in range(n)]
memo = [[None for i in range(n)] for i in range(n)]
steps = [[-1 for i in range(n)] for i in range(n)]
for i in range(n):
r = [int(k) for k in input().split()]
for j in range(n):
m[i][j] = r[j]
ans = count(n - 1, n - 1)[0]
path = ""
x, y = n - 1, n - 1
while not (x == 0 and y == 0):
# print(steps[x][y])
if steps[x][y] == 0:
path = "D" + path
x -= 1
else:
path = "R" + path
y -= 1
print(ans)
print(path)
``` | 0 |
611 | C | New Year and Domino | PROGRAMMING | 1,500 | [
"dp",
"implementation"
] | null | null | They say "years are like dominoes, tumbling one after the other". But would a year fit into a grid? I don't think so.
Limak is a little polar bear who loves to play. He has recently got a rectangular grid with *h* rows and *w* columns. Each cell is a square, either empty (denoted by '.') or forbidden (denoted by '#'). Rows are numbered 1 through *h* from top to bottom. Columns are numbered 1 through *w* from left to right.
Also, Limak has a single domino. He wants to put it somewhere in a grid. A domino will occupy exactly two adjacent cells, located either in one row or in one column. Both adjacent cells must be empty and must be inside a grid.
Limak needs more fun and thus he is going to consider some queries. In each query he chooses some rectangle and wonders, how many way are there to put a single domino inside of the chosen rectangle? | The first line of the input contains two integers *h* and *w* (1<=≤<=*h*,<=*w*<=≤<=500) – the number of rows and the number of columns, respectively.
The next *h* lines describe a grid. Each line contains a string of the length *w*. Each character is either '.' or '#' — denoting an empty or forbidden cell, respectively.
The next line contains a single integer *q* (1<=≤<=*q*<=≤<=100<=000) — the number of queries.
Each of the next *q* lines contains four integers *r*1*i*, *c*1*i*, *r*2*i*, *c*2*i* (1<=≤<=*r*1*i*<=≤<=*r*2*i*<=≤<=*h*,<=1<=≤<=*c*1*i*<=≤<=*c*2*i*<=≤<=*w*) — the *i*-th query. Numbers *r*1*i* and *c*1*i* denote the row and the column (respectively) of the upper left cell of the rectangle. Numbers *r*2*i* and *c*2*i* denote the row and the column (respectively) of the bottom right cell of the rectangle. | Print *q* integers, *i*-th should be equal to the number of ways to put a single domino inside the *i*-th rectangle. | [
"5 8\n....#..#\n.#......\n##.#....\n##..#.##\n........\n4\n1 1 2 3\n4 1 4 1\n1 2 4 5\n2 5 5 8\n",
"7 39\n.......................................\n.###..###..#..###.....###..###..#..###.\n...#..#.#..#..#.........#..#.#..#..#...\n.###..#.#..#..###.....###..#.#..#..###.\n.#....#.#..#....#.....#....#.#..#..#.#.\n.###... | [
"4\n0\n10\n15\n",
"53\n89\n120\n23\n0\n2\n"
] | A red frame below corresponds to the first query of the first sample. A domino can be placed in 4 possible ways. | 1,250 | [
{
"input": "5 8\n....#..#\n.#......\n##.#....\n##..#.##\n........\n4\n1 1 2 3\n4 1 4 1\n1 2 4 5\n2 5 5 8",
"output": "4\n0\n10\n15"
},
{
"input": "7 39\n.......................................\n.###..###..#..###.....###..###..#..###.\n...#..#.#..#..#.........#..#.#..#..#...\n.###..#.#..#..###.....##... | 1,451,570,680 | 2,147,483,647 | Python 3 | OK | TESTS | 52 | 2,371 | 13,516,800 | read = lambda: map(int, input().split())
h, w = read()
a = [input() for i in range(h)]
N = 501
vr = [[0] * N for i in range(N)]
hr = [[0] * N for i in range(N)]
for i in range(h):
for j in range(w):
vr[j + 1][i + 1] = vr[j][i + 1] + vr[j + 1][i] - vr[j][i]
hr[j + 1][i + 1] = hr[j][i + 1] + hr[j + 1][i] - hr[j][i]
if a[i][j] == '#': continue
if i != h - 1 and a[i + 1][j] == '.': vr[j + 1][i + 1] += 1
if j != w - 1 and a[i][j + 1] == '.': hr[j + 1][i + 1] += 1
q = int(input())
for i in range(q):
r1, c1, r2, c2 = read()
p1 = hr[c2 - 1][r2] - hr[c1 - 1][r2] - hr[c2 - 1][r1 - 1] + hr[c1 - 1][r1 - 1]
p2 = vr[c2][r2 - 1] - vr[c1 - 1][r2 - 1] - vr[c2][r1 - 1] + vr[c1 - 1][r1 - 1]
ans = p1 + p2
print(ans)
| Title: New Year and Domino
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
They say "years are like dominoes, tumbling one after the other". But would a year fit into a grid? I don't think so.
Limak is a little polar bear who loves to play. He has recently got a rectangular grid with *h* rows and *w* columns. Each cell is a square, either empty (denoted by '.') or forbidden (denoted by '#'). Rows are numbered 1 through *h* from top to bottom. Columns are numbered 1 through *w* from left to right.
Also, Limak has a single domino. He wants to put it somewhere in a grid. A domino will occupy exactly two adjacent cells, located either in one row or in one column. Both adjacent cells must be empty and must be inside a grid.
Limak needs more fun and thus he is going to consider some queries. In each query he chooses some rectangle and wonders, how many way are there to put a single domino inside of the chosen rectangle?
Input Specification:
The first line of the input contains two integers *h* and *w* (1<=≤<=*h*,<=*w*<=≤<=500) – the number of rows and the number of columns, respectively.
The next *h* lines describe a grid. Each line contains a string of the length *w*. Each character is either '.' or '#' — denoting an empty or forbidden cell, respectively.
The next line contains a single integer *q* (1<=≤<=*q*<=≤<=100<=000) — the number of queries.
Each of the next *q* lines contains four integers *r*1*i*, *c*1*i*, *r*2*i*, *c*2*i* (1<=≤<=*r*1*i*<=≤<=*r*2*i*<=≤<=*h*,<=1<=≤<=*c*1*i*<=≤<=*c*2*i*<=≤<=*w*) — the *i*-th query. Numbers *r*1*i* and *c*1*i* denote the row and the column (respectively) of the upper left cell of the rectangle. Numbers *r*2*i* and *c*2*i* denote the row and the column (respectively) of the bottom right cell of the rectangle.
Output Specification:
Print *q* integers, *i*-th should be equal to the number of ways to put a single domino inside the *i*-th rectangle.
Demo Input:
['5 8\n....#..#\n.#......\n##.#....\n##..#.##\n........\n4\n1 1 2 3\n4 1 4 1\n1 2 4 5\n2 5 5 8\n', '7 39\n.......................................\n.###..###..#..###.....###..###..#..###.\n...#..#.#..#..#.........#..#.#..#..#...\n.###..#.#..#..###.....###..#.#..#..###.\n.#....#.#..#....#.....#....#.#..#..#.#.\n.###..###..#..###.....###..###..#..###.\n.......................................\n6\n1 1 3 20\n2 10 6 30\n2 10 7 30\n2 2 7 7\n1 7 7 7\n1 8 7 8\n']
Demo Output:
['4\n0\n10\n15\n', '53\n89\n120\n23\n0\n2\n']
Note:
A red frame below corresponds to the first query of the first sample. A domino can be placed in 4 possible ways. | ```python
read = lambda: map(int, input().split())
h, w = read()
a = [input() for i in range(h)]
N = 501
vr = [[0] * N for i in range(N)]
hr = [[0] * N for i in range(N)]
for i in range(h):
for j in range(w):
vr[j + 1][i + 1] = vr[j][i + 1] + vr[j + 1][i] - vr[j][i]
hr[j + 1][i + 1] = hr[j][i + 1] + hr[j + 1][i] - hr[j][i]
if a[i][j] == '#': continue
if i != h - 1 and a[i + 1][j] == '.': vr[j + 1][i + 1] += 1
if j != w - 1 and a[i][j + 1] == '.': hr[j + 1][i + 1] += 1
q = int(input())
for i in range(q):
r1, c1, r2, c2 = read()
p1 = hr[c2 - 1][r2] - hr[c1 - 1][r2] - hr[c2 - 1][r1 - 1] + hr[c1 - 1][r1 - 1]
p2 = vr[c2][r2 - 1] - vr[c1 - 1][r2 - 1] - vr[c2][r1 - 1] + vr[c1 - 1][r1 - 1]
ans = p1 + p2
print(ans)
``` | 3 | |
500 | A | New Year Transportation | PROGRAMMING | 1,000 | [
"dfs and similar",
"graphs",
"implementation"
] | null | null | New Year is coming in Line World! In this world, there are *n* cells numbered by integers from 1 to *n*, as a 1<=×<=*n* board. People live in cells. However, it was hard to move between distinct cells, because of the difficulty of escaping the cell. People wanted to meet people who live in other cells.
So, user tncks0121 has made a transportation system to move between these cells, to celebrate the New Year. First, he thought of *n*<=-<=1 positive integers *a*1,<=*a*2,<=...,<=*a**n*<=-<=1. For every integer *i* where 1<=≤<=*i*<=≤<=*n*<=-<=1 the condition 1<=≤<=*a**i*<=≤<=*n*<=-<=*i* holds. Next, he made *n*<=-<=1 portals, numbered by integers from 1 to *n*<=-<=1. The *i*-th (1<=≤<=*i*<=≤<=*n*<=-<=1) portal connects cell *i* and cell (*i*<=+<=*a**i*), and one can travel from cell *i* to cell (*i*<=+<=*a**i*) using the *i*-th portal. Unfortunately, one cannot use the portal backwards, which means one cannot move from cell (*i*<=+<=*a**i*) to cell *i* using the *i*-th portal. It is easy to see that because of condition 1<=≤<=*a**i*<=≤<=*n*<=-<=*i* one can't leave the Line World using portals.
Currently, I am standing at cell 1, and I want to go to cell *t*. However, I don't know whether it is possible to go there. Please determine whether I can go to cell *t* by only using the construted transportation system. | The first line contains two space-separated integers *n* (3<=≤<=*n*<=≤<=3<=×<=104) and *t* (2<=≤<=*t*<=≤<=*n*) — the number of cells, and the index of the cell which I want to go to.
The second line contains *n*<=-<=1 space-separated integers *a*1,<=*a*2,<=...,<=*a**n*<=-<=1 (1<=≤<=*a**i*<=≤<=*n*<=-<=*i*). It is guaranteed, that using the given transportation system, one cannot leave the Line World. | If I can go to cell *t* using the transportation system, print "YES". Otherwise, print "NO". | [
"8 4\n1 2 1 2 1 2 1\n",
"8 5\n1 2 1 2 1 1 1\n"
] | [
"YES\n",
"NO\n"
] | In the first sample, the visited cells are: 1, 2, 4; so we can successfully visit the cell 4.
In the second sample, the possible cells to visit are: 1, 2, 4, 6, 7, 8; so we can't visit the cell 5, which we want to visit. | 500 | [
{
"input": "8 4\n1 2 1 2 1 2 1",
"output": "YES"
},
{
"input": "8 5\n1 2 1 2 1 1 1",
"output": "NO"
},
{
"input": "20 19\n13 16 7 6 12 1 5 7 8 6 5 7 5 5 3 3 2 2 1",
"output": "YES"
},
{
"input": "50 49\n11 7 1 41 26 36 19 16 38 14 36 35 37 27 20 27 3 6 21 2 27 11 18 17 19 16 ... | 1,666,187,439 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 12 | 46 | 1,740,800 | n=[int(x) for x in input().split(' ')]
c=[int(x) for x in input().split(' ')]
respuesta="NO"
cont=1
while cont<n[0]:
if(cont==n[1]):
respuesta="YES"
cont+=c[cont-1]
print(respuesta) | Title: New Year Transportation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
New Year is coming in Line World! In this world, there are *n* cells numbered by integers from 1 to *n*, as a 1<=×<=*n* board. People live in cells. However, it was hard to move between distinct cells, because of the difficulty of escaping the cell. People wanted to meet people who live in other cells.
So, user tncks0121 has made a transportation system to move between these cells, to celebrate the New Year. First, he thought of *n*<=-<=1 positive integers *a*1,<=*a*2,<=...,<=*a**n*<=-<=1. For every integer *i* where 1<=≤<=*i*<=≤<=*n*<=-<=1 the condition 1<=≤<=*a**i*<=≤<=*n*<=-<=*i* holds. Next, he made *n*<=-<=1 portals, numbered by integers from 1 to *n*<=-<=1. The *i*-th (1<=≤<=*i*<=≤<=*n*<=-<=1) portal connects cell *i* and cell (*i*<=+<=*a**i*), and one can travel from cell *i* to cell (*i*<=+<=*a**i*) using the *i*-th portal. Unfortunately, one cannot use the portal backwards, which means one cannot move from cell (*i*<=+<=*a**i*) to cell *i* using the *i*-th portal. It is easy to see that because of condition 1<=≤<=*a**i*<=≤<=*n*<=-<=*i* one can't leave the Line World using portals.
Currently, I am standing at cell 1, and I want to go to cell *t*. However, I don't know whether it is possible to go there. Please determine whether I can go to cell *t* by only using the construted transportation system.
Input Specification:
The first line contains two space-separated integers *n* (3<=≤<=*n*<=≤<=3<=×<=104) and *t* (2<=≤<=*t*<=≤<=*n*) — the number of cells, and the index of the cell which I want to go to.
The second line contains *n*<=-<=1 space-separated integers *a*1,<=*a*2,<=...,<=*a**n*<=-<=1 (1<=≤<=*a**i*<=≤<=*n*<=-<=*i*). It is guaranteed, that using the given transportation system, one cannot leave the Line World.
Output Specification:
If I can go to cell *t* using the transportation system, print "YES". Otherwise, print "NO".
Demo Input:
['8 4\n1 2 1 2 1 2 1\n', '8 5\n1 2 1 2 1 1 1\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample, the visited cells are: 1, 2, 4; so we can successfully visit the cell 4.
In the second sample, the possible cells to visit are: 1, 2, 4, 6, 7, 8; so we can't visit the cell 5, which we want to visit. | ```python
n=[int(x) for x in input().split(' ')]
c=[int(x) for x in input().split(' ')]
respuesta="NO"
cont=1
while cont<n[0]:
if(cont==n[1]):
respuesta="YES"
cont+=c[cont-1]
print(respuesta)
``` | 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",
... | 1,666,422,584 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 92 | 0 | def sol(n):
if n == 1:
return -1
arr = [0]*n
for i in range(n):
arr[i] = n-i
if n%2 != 0:
temp = arr[int(n/2)]
arr[int(n/2)] = arr[int(n/2)+1]
arr[int(n/2)+1] = temp
return arr
n = int(input())
ans = sol(n)
print(ans) | 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
def sol(n):
if n == 1:
return -1
arr = [0]*n
for i in range(n):
arr[i] = n-i
if n%2 != 0:
temp = arr[int(n/2)]
arr[int(n/2)] = arr[int(n/2)+1]
arr[int(n/2)+1] = temp
return arr
n = int(input())
ans = sol(n)
print(ans)
``` | 0 | |
400 | B | Inna and New Matrix of Candies | PROGRAMMING | 1,200 | [
"brute force",
"implementation",
"schedules"
] | null | null | Inna likes sweets and a game called the "Candy Matrix". Today, she came up with the new game "Candy Matrix 2: Reload".
The field for the new game is a rectangle table of size *n*<=×<=*m*. Each line of the table contains one cell with a dwarf figurine, one cell with a candy, the other cells of the line are empty. The game lasts for several moves. During each move the player should choose all lines of the matrix where dwarf is not on the cell with candy and shout "Let's go!". After that, all the dwarves from the chosen lines start to simultaneously move to the right. During each second, each dwarf goes to the adjacent cell that is located to the right of its current cell. The movement continues until one of the following events occurs:
- some dwarf in one of the chosen lines is located in the rightmost cell of his row; - some dwarf in the chosen lines is located in the cell with the candy.
The point of the game is to transport all the dwarves to the candy cells.
Inna is fabulous, as she came up with such an interesting game. But what about you? Your task is to play this game optimally well. Specifically, you should say by the given game field what minimum number of moves the player needs to reach the goal of the game. | The first line of the input contains two integers *n* and *m* (1<=≤<=*n*<=≤<=1000; 2<=≤<=*m*<=≤<=1000).
Next *n* lines each contain *m* characters — the game field for the "Candy Martix 2: Reload". Character "*" represents an empty cell of the field, character "G" represents a dwarf and character "S" represents a candy. The matrix doesn't contain other characters. It is guaranteed that each line contains exactly one character "G" and one character "S". | In a single line print a single integer — either the minimum number of moves needed to achieve the aim of the game, or -1, if the aim cannot be achieved on the given game field. | [
"3 4\n*G*S\nG**S\n*G*S\n",
"1 3\nS*G\n"
] | [
"2\n",
"-1\n"
] | none | 1,000 | [
{
"input": "3 4\n*G*S\nG**S\n*G*S",
"output": "2"
},
{
"input": "1 3\nS*G",
"output": "-1"
},
{
"input": "10 10\nG********S\n*G*******S\n**G******S\n***G*****S\n****G****S\n*****G***S\n******G**S\n*******G*S\n********GS\nG********S",
"output": "9"
},
{
"input": "5 10\nG***S**... | 1,651,509,846 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 62 | 0 | n,m=map(int,input().split())
flag = ans =0
d=dict()
for i in range(n):
x = input()
for j in range(m):
if x[j]=='G':
gidx=j
elif x[j]=='S':
sidx=j
if sidx-gidx<0:
flag=1;break
else:
if sidx-gidx in d:
ans += 1
else:
d[x]=1
ans = 1
print(ans if not flag else -1) | Title: Inna and New Matrix of Candies
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Inna likes sweets and a game called the "Candy Matrix". Today, she came up with the new game "Candy Matrix 2: Reload".
The field for the new game is a rectangle table of size *n*<=×<=*m*. Each line of the table contains one cell with a dwarf figurine, one cell with a candy, the other cells of the line are empty. The game lasts for several moves. During each move the player should choose all lines of the matrix where dwarf is not on the cell with candy and shout "Let's go!". After that, all the dwarves from the chosen lines start to simultaneously move to the right. During each second, each dwarf goes to the adjacent cell that is located to the right of its current cell. The movement continues until one of the following events occurs:
- some dwarf in one of the chosen lines is located in the rightmost cell of his row; - some dwarf in the chosen lines is located in the cell with the candy.
The point of the game is to transport all the dwarves to the candy cells.
Inna is fabulous, as she came up with such an interesting game. But what about you? Your task is to play this game optimally well. Specifically, you should say by the given game field what minimum number of moves the player needs to reach the goal of the game.
Input Specification:
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*<=≤<=1000; 2<=≤<=*m*<=≤<=1000).
Next *n* lines each contain *m* characters — the game field for the "Candy Martix 2: Reload". Character "*" represents an empty cell of the field, character "G" represents a dwarf and character "S" represents a candy. The matrix doesn't contain other characters. It is guaranteed that each line contains exactly one character "G" and one character "S".
Output Specification:
In a single line print a single integer — either the minimum number of moves needed to achieve the aim of the game, or -1, if the aim cannot be achieved on the given game field.
Demo Input:
['3 4\n*G*S\nG**S\n*G*S\n', '1 3\nS*G\n']
Demo Output:
['2\n', '-1\n']
Note:
none | ```python
n,m=map(int,input().split())
flag = ans =0
d=dict()
for i in range(n):
x = input()
for j in range(m):
if x[j]=='G':
gidx=j
elif x[j]=='S':
sidx=j
if sidx-gidx<0:
flag=1;break
else:
if sidx-gidx in d:
ans += 1
else:
d[x]=1
ans = 1
print(ans if not flag else -1)
``` | 0 | |
656 | G | You're a Professional | PROGRAMMING | 1,900 | [
"*special"
] | null | null | A simple recommendation system would recommend a user things liked by a certain number of their friends. In this problem you will implement part of such a system.
You are given user's friends' opinions about a list of items. You are also given a threshold *T* — the minimal number of "likes" necessary for an item to be recommended to the user.
Output the number of items in the list liked by at least *T* of user's friends. | The first line of the input will contain three space-separated integers: the number of friends *F* (1<=≤<=*F*<=≤<=10), the number of items *I* (1<=≤<=*I*<=≤<=10) and the threshold *T* (1<=≤<=*T*<=≤<=*F*).
The following *F* lines of input contain user's friends' opinions. *j*-th character of *i*-th line is 'Y' if *i*-th friend likes *j*-th item, and 'N' otherwise. | Output an integer — the number of items liked by at least *T* of user's friends. | [
"3 3 2\nYYY\nNNN\nYNY\n",
"4 4 1\nNNNY\nNNYN\nNYNN\nYNNN\n"
] | [
"2\n",
"4\n"
] | none | 0 | [
{
"input": "3 3 2\nYYY\nNNN\nYNY",
"output": "2"
},
{
"input": "4 4 1\nNNNY\nNNYN\nNYNN\nYNNN",
"output": "4"
},
{
"input": "3 5 2\nNYNNY\nYNNNN\nNNYYN",
"output": "0"
},
{
"input": "1 10 1\nYYYNYNNYNN",
"output": "5"
},
{
"input": "10 1 5\nY\nN\nN\nN\nY\nN\nN\nY\... | 1,490,896,896 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 46 | 5,529,600 | def main():
f, i, t = map(int, input().split())
ans = 0
for _ in range(f):
likes = input()
count = sum(1 for like in likes if like == 'Y')
if count >= t:
ans += 1
print(ans)
main()
| Title: You're a Professional
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A simple recommendation system would recommend a user things liked by a certain number of their friends. In this problem you will implement part of such a system.
You are given user's friends' opinions about a list of items. You are also given a threshold *T* — the minimal number of "likes" necessary for an item to be recommended to the user.
Output the number of items in the list liked by at least *T* of user's friends.
Input Specification:
The first line of the input will contain three space-separated integers: the number of friends *F* (1<=≤<=*F*<=≤<=10), the number of items *I* (1<=≤<=*I*<=≤<=10) and the threshold *T* (1<=≤<=*T*<=≤<=*F*).
The following *F* lines of input contain user's friends' opinions. *j*-th character of *i*-th line is 'Y' if *i*-th friend likes *j*-th item, and 'N' otherwise.
Output Specification:
Output an integer — the number of items liked by at least *T* of user's friends.
Demo Input:
['3 3 2\nYYY\nNNN\nYNY\n', '4 4 1\nNNNY\nNNYN\nNYNN\nYNNN\n']
Demo Output:
['2\n', '4\n']
Note:
none | ```python
def main():
f, i, t = map(int, input().split())
ans = 0
for _ in range(f):
likes = input()
count = sum(1 for like in likes if like == 'Y')
if count >= t:
ans += 1
print(ans)
main()
``` | 0 | |
591 | A | Wizards' Duel | PROGRAMMING | 900 | [
"implementation",
"math"
] | null | null | Harry Potter and He-Who-Must-Not-Be-Named engaged in a fight to the death once again. This time they are located at opposite ends of the corridor of length *l*. Two opponents simultaneously charge a deadly spell in the enemy. We know that the impulse of Harry's magic spell flies at a speed of *p* meters per second, and the impulse of You-Know-Who's magic spell flies at a speed of *q* meters per second.
The impulses are moving through the corridor toward each other, and at the time of the collision they turn round and fly back to those who cast them without changing their original speeds. Then, as soon as the impulse gets back to it's caster, the wizard reflects it and sends again towards the enemy, without changing the original speed of the impulse.
Since Harry has perfectly mastered the basics of magic, he knows that after the second collision both impulses will disappear, and a powerful explosion will occur exactly in the place of their collision. However, the young wizard isn't good at math, so he asks you to calculate the distance from his position to the place of the second meeting of the spell impulses, provided that the opponents do not change positions during the whole fight. | The first line of the input contains a single integer *l* (1<=≤<=*l*<=≤<=1<=000) — the length of the corridor where the fight takes place.
The second line contains integer *p*, the third line contains integer *q* (1<=≤<=*p*,<=*q*<=≤<=500) — the speeds of magical impulses for Harry Potter and He-Who-Must-Not-Be-Named, respectively. | Print a single real number — the distance from the end of the corridor, where Harry is located, to the place of the second meeting of the spell impulses. Your answer will be considered correct if its absolute or relative error will not exceed 10<=-<=4.
Namely: let's assume that your answer equals *a*, and the answer of the jury is *b*. The checker program will consider your answer correct if . | [
"100\n50\n50\n",
"199\n60\n40\n"
] | [
"50\n",
"119.4\n"
] | In the first sample the speeds of the impulses are equal, so both of their meetings occur exactly in the middle of the corridor. | 500 | [
{
"input": "100\n50\n50",
"output": "50"
},
{
"input": "199\n60\n40",
"output": "119.4"
},
{
"input": "1\n1\n1",
"output": "0.5"
},
{
"input": "1\n1\n500",
"output": "0.001996007984"
},
{
"input": "1\n500\n1",
"output": "0.998003992"
},
{
"input": "1\n... | 1,616,991,862 | 2,147,483,647 | Python 3 | OK | TESTS | 45 | 77 | 0 | s=int(input())
p=int(input())
q=int(input())
print(s*p/(p+q)) | Title: Wizards' Duel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Harry Potter and He-Who-Must-Not-Be-Named engaged in a fight to the death once again. This time they are located at opposite ends of the corridor of length *l*. Two opponents simultaneously charge a deadly spell in the enemy. We know that the impulse of Harry's magic spell flies at a speed of *p* meters per second, and the impulse of You-Know-Who's magic spell flies at a speed of *q* meters per second.
The impulses are moving through the corridor toward each other, and at the time of the collision they turn round and fly back to those who cast them without changing their original speeds. Then, as soon as the impulse gets back to it's caster, the wizard reflects it and sends again towards the enemy, without changing the original speed of the impulse.
Since Harry has perfectly mastered the basics of magic, he knows that after the second collision both impulses will disappear, and a powerful explosion will occur exactly in the place of their collision. However, the young wizard isn't good at math, so he asks you to calculate the distance from his position to the place of the second meeting of the spell impulses, provided that the opponents do not change positions during the whole fight.
Input Specification:
The first line of the input contains a single integer *l* (1<=≤<=*l*<=≤<=1<=000) — the length of the corridor where the fight takes place.
The second line contains integer *p*, the third line contains integer *q* (1<=≤<=*p*,<=*q*<=≤<=500) — the speeds of magical impulses for Harry Potter and He-Who-Must-Not-Be-Named, respectively.
Output Specification:
Print a single real number — the distance from the end of the corridor, where Harry is located, to the place of the second meeting of the spell impulses. Your answer will be considered correct if its absolute or relative error will not exceed 10<=-<=4.
Namely: let's assume that your answer equals *a*, and the answer of the jury is *b*. The checker program will consider your answer correct if .
Demo Input:
['100\n50\n50\n', '199\n60\n40\n']
Demo Output:
['50\n', '119.4\n']
Note:
In the first sample the speeds of the impulses are equal, so both of their meetings occur exactly in the middle of the corridor. | ```python
s=int(input())
p=int(input())
q=int(input())
print(s*p/(p+q))
``` | 3 | |
940 | B | Our Tanya is Crying Out Loud | PROGRAMMING | 1,400 | [
"dp",
"greedy"
] | null | null | Right now she actually isn't. But she will be, if you don't solve this problem.
You are given integers *n*, *k*, *A* and *B*. There is a number *x*, which is initially equal to *n*. You are allowed to perform two types of operations:
1. Subtract 1 from *x*. This operation costs you *A* coins. 1. Divide *x* by *k*. Can be performed only if *x* is divisible by *k*. This operation costs you *B* coins. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=2·109).
The second line contains a single integer *k* (1<=≤<=*k*<=≤<=2·109).
The third line contains a single integer *A* (1<=≤<=*A*<=≤<=2·109).
The fourth line contains a single integer *B* (1<=≤<=*B*<=≤<=2·109). | Output a single integer — the minimum amount of coins you have to pay to make *x* equal to 1. | [
"9\n2\n3\n1\n",
"5\n5\n2\n20\n",
"19\n3\n4\n2\n"
] | [
"6\n",
"8\n",
"12\n"
] | In the first testcase, the optimal strategy is as follows:
- Subtract 1 from *x* (9 → 8) paying 3 coins. - Divide *x* by 2 (8 → 4) paying 1 coin. - Divide *x* by 2 (4 → 2) paying 1 coin. - Divide *x* by 2 (2 → 1) paying 1 coin.
The total cost is 6 coins.
In the second test case the optimal strategy is to subtract 1 from *x* 4 times paying 8 coins in total. | 1,250 | [
{
"input": "9\n2\n3\n1",
"output": "6"
},
{
"input": "5\n5\n2\n20",
"output": "8"
},
{
"input": "19\n3\n4\n2",
"output": "12"
},
{
"input": "1845999546\n999435865\n1234234\n2323423",
"output": "1044857680578777"
},
{
"input": "1604353664\n1604353665\n9993432\n1",
... | 1,594,024,095 | 2,147,483,647 | Python 3 | OK | TESTS | 58 | 109 | 6,963,200 | n = int(input())
k = int(input())
a = int(input())
b = int(input())
res = 0
while n!=1:
if k==1 or k>n:
res+=a*(n-1)
break
if n%k!=0:
res+=a*(n%k)
n = n-n%k
else:
temp = n//k
res+=min(b,a*(n-temp))
n = temp
print(res)
| Title: Our Tanya is Crying Out Loud
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Right now she actually isn't. But she will be, if you don't solve this problem.
You are given integers *n*, *k*, *A* and *B*. There is a number *x*, which is initially equal to *n*. You are allowed to perform two types of operations:
1. Subtract 1 from *x*. This operation costs you *A* coins. 1. Divide *x* by *k*. Can be performed only if *x* is divisible by *k*. This operation costs you *B* coins.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=2·109).
The second line contains a single integer *k* (1<=≤<=*k*<=≤<=2·109).
The third line contains a single integer *A* (1<=≤<=*A*<=≤<=2·109).
The fourth line contains a single integer *B* (1<=≤<=*B*<=≤<=2·109).
Output Specification:
Output a single integer — the minimum amount of coins you have to pay to make *x* equal to 1.
Demo Input:
['9\n2\n3\n1\n', '5\n5\n2\n20\n', '19\n3\n4\n2\n']
Demo Output:
['6\n', '8\n', '12\n']
Note:
In the first testcase, the optimal strategy is as follows:
- Subtract 1 from *x* (9 → 8) paying 3 coins. - Divide *x* by 2 (8 → 4) paying 1 coin. - Divide *x* by 2 (4 → 2) paying 1 coin. - Divide *x* by 2 (2 → 1) paying 1 coin.
The total cost is 6 coins.
In the second test case the optimal strategy is to subtract 1 from *x* 4 times paying 8 coins in total. | ```python
n = int(input())
k = int(input())
a = int(input())
b = int(input())
res = 0
while n!=1:
if k==1 or k>n:
res+=a*(n-1)
break
if n%k!=0:
res+=a*(n%k)
n = n-n%k
else:
temp = n//k
res+=min(b,a*(n-temp))
n = temp
print(res)
``` | 3 | |
29 | A | Spit Problem | PROGRAMMING | 1,000 | [
"brute force"
] | A. Spit Problem | 2 | 256 | In a Berland's zoo there is an enclosure with camels. It is known that camels like to spit. Bob watched these interesting animals for the whole day and registered in his notepad where each animal spitted. Now he wants to know if in the zoo there are two camels, which spitted at each other. Help him to solve this task.
The trajectory of a camel's spit is an arc, i.e. if the camel in position *x* spits *d* meters right, he can hit only the camel in position *x*<=+<=*d*, if such a camel exists. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the amount of camels in the zoo. Each of the following *n* lines contains two integers *x**i* and *d**i* (<=-<=104<=≤<=*x**i*<=≤<=104,<=1<=≤<=|*d**i*|<=≤<=2·104) — records in Bob's notepad. *x**i* is a position of the *i*-th camel, and *d**i* is a distance at which the *i*-th camel spitted. Positive values of *d**i* correspond to the spits right, negative values correspond to the spits left. No two camels may stand in the same position. | If there are two camels, which spitted at each other, output YES. Otherwise, output NO. | [
"2\n0 1\n1 -1\n",
"3\n0 1\n1 1\n2 -2\n",
"5\n2 -10\n3 10\n0 5\n5 -5\n10 1\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | 500 | [
{
"input": "2\n0 1\n1 -1",
"output": "YES"
},
{
"input": "3\n0 1\n1 1\n2 -2",
"output": "NO"
},
{
"input": "5\n2 -10\n3 10\n0 5\n5 -5\n10 1",
"output": "YES"
},
{
"input": "10\n-9897 -1144\n-4230 -6350\n2116 -3551\n-3635 4993\n3907 -9071\n-2362 4120\n-6542 984\n5807 3745\n759... | 1,516,493,982 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 124 | 5,632,000 |
n = int(input())
A = set()
for _ in range(n):
x, d = map(int, input().split())
A.add((x, d))
found = False
for x, d in A:
if (x + d, -d) in A:
found = True
if found:
print("YES")
else:
print("NO")
| Title: Spit Problem
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
In a Berland's zoo there is an enclosure with camels. It is known that camels like to spit. Bob watched these interesting animals for the whole day and registered in his notepad where each animal spitted. Now he wants to know if in the zoo there are two camels, which spitted at each other. Help him to solve this task.
The trajectory of a camel's spit is an arc, i.e. if the camel in position *x* spits *d* meters right, he can hit only the camel in position *x*<=+<=*d*, if such a camel exists.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the amount of camels in the zoo. Each of the following *n* lines contains two integers *x**i* and *d**i* (<=-<=104<=≤<=*x**i*<=≤<=104,<=1<=≤<=|*d**i*|<=≤<=2·104) — records in Bob's notepad. *x**i* is a position of the *i*-th camel, and *d**i* is a distance at which the *i*-th camel spitted. Positive values of *d**i* correspond to the spits right, negative values correspond to the spits left. No two camels may stand in the same position.
Output Specification:
If there are two camels, which spitted at each other, output YES. Otherwise, output NO.
Demo Input:
['2\n0 1\n1 -1\n', '3\n0 1\n1 1\n2 -2\n', '5\n2 -10\n3 10\n0 5\n5 -5\n10 1\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n']
Note:
none | ```python
n = int(input())
A = set()
for _ in range(n):
x, d = map(int, input().split())
A.add((x, d))
found = False
for x, d in A:
if (x + d, -d) in A:
found = True
if found:
print("YES")
else:
print("NO")
``` | 3.95851 |
891 | A | Pride | PROGRAMMING | 1,500 | [
"brute force",
"dp",
"greedy",
"math",
"number theory"
] | null | null | You have an array *a* with length *n*, you can perform operations. Each operation is like this: choose two adjacent elements from *a*, say *x* and *y*, and replace one of them with *gcd*(*x*,<=*y*), where *gcd* denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor).
What is the minimum number of operations you need to make all of the elements equal to 1? | The first line of the input contains one integer *n* (1<=≤<=*n*<=≤<=2000) — the number of elements in the array.
The second line contains *n* space separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array. | Print -1, if it is impossible to turn all numbers to 1. Otherwise, print the minimum number of operations needed to make all numbers equal to 1. | [
"5\n2 2 3 4 6\n",
"4\n2 4 6 8\n",
"3\n2 6 9\n"
] | [
"5\n",
"-1\n",
"4\n"
] | In the first sample you can turn all numbers to 1 using the following 5 moves:
- [2, 2, 3, 4, 6]. - [2, 1, 3, 4, 6] - [2, 1, 3, 1, 6] - [2, 1, 1, 1, 6] - [1, 1, 1, 1, 6] - [1, 1, 1, 1, 1]
We can prove that in this case it is not possible to make all numbers one using less than 5 moves. | 500 | [
{
"input": "5\n2 2 3 4 6",
"output": "5"
},
{
"input": "4\n2 4 6 8",
"output": "-1"
},
{
"input": "3\n2 6 9",
"output": "4"
},
{
"input": "15\n10 10 10 10 10 10 21 21 21 21 21 21 21 21 21",
"output": "15"
},
{
"input": "12\n10 10 14 14 14 14 14 14 14 14 21 21",
... | 1,588,292,609 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 4 | 202 | 2,560,000 | def main():
n = int(input())
a = list(map(int, input().split()))
if gcd_of_array(a) != 1:
print(-1)
else:
left = 2
right = n
while left <= right:
mid = (left + right) // 2
if check(a, mid):
right = mid - 1
else:
left = mid + 1
ans = n + mid - 2
print(ans)
def check(a, le):
for i in range(len(a) - le):
if gcd_of_array(a[i:i+le]) == 1:
return True
return False
def gcd(a, b):
if a == 0:
return b
else:
return gcd(b % a, a)
def gcd_of_array(a):
res = a[0]
for i in a:
res = gcd(res, i)
if res == 1:
break
return res
main() | Title: Pride
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have an array *a* with length *n*, you can perform operations. Each operation is like this: choose two adjacent elements from *a*, say *x* and *y*, and replace one of them with *gcd*(*x*,<=*y*), where *gcd* denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor).
What is the minimum number of operations you need to make all of the elements equal to 1?
Input Specification:
The first line of the input contains one integer *n* (1<=≤<=*n*<=≤<=2000) — the number of elements in the array.
The second line contains *n* space separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array.
Output Specification:
Print -1, if it is impossible to turn all numbers to 1. Otherwise, print the minimum number of operations needed to make all numbers equal to 1.
Demo Input:
['5\n2 2 3 4 6\n', '4\n2 4 6 8\n', '3\n2 6 9\n']
Demo Output:
['5\n', '-1\n', '4\n']
Note:
In the first sample you can turn all numbers to 1 using the following 5 moves:
- [2, 2, 3, 4, 6]. - [2, 1, 3, 4, 6] - [2, 1, 3, 1, 6] - [2, 1, 1, 1, 6] - [1, 1, 1, 1, 6] - [1, 1, 1, 1, 1]
We can prove that in this case it is not possible to make all numbers one using less than 5 moves. | ```python
def main():
n = int(input())
a = list(map(int, input().split()))
if gcd_of_array(a) != 1:
print(-1)
else:
left = 2
right = n
while left <= right:
mid = (left + right) // 2
if check(a, mid):
right = mid - 1
else:
left = mid + 1
ans = n + mid - 2
print(ans)
def check(a, le):
for i in range(len(a) - le):
if gcd_of_array(a[i:i+le]) == 1:
return True
return False
def gcd(a, b):
if a == 0:
return b
else:
return gcd(b % a, a)
def gcd_of_array(a):
res = a[0]
for i in a:
res = gcd(res, i)
if res == 1:
break
return res
main()
``` | 0 | |
868 | C | Qualification Rounds | PROGRAMMING | 1,500 | [
"bitmasks",
"brute force",
"constructive algorithms",
"dp"
] | null | null | Snark and Philip are preparing the problemset for the upcoming pre-qualification round for semi-quarter-finals. They have a bank of *n* problems, and they want to select any non-empty subset of it as a problemset.
*k* experienced teams are participating in the contest. Some of these teams already know some of the problems. To make the contest interesting for them, each of the teams should know at most half of the selected problems.
Determine if Snark and Philip can make an interesting problemset! | The first line contains two integers *n*, *k* (1<=≤<=*n*<=≤<=105, 1<=≤<=*k*<=≤<=4) — the number of problems and the number of experienced teams.
Each of the next *n* lines contains *k* integers, each equal to 0 or 1. The *j*-th number in the *i*-th line is 1 if *j*-th team knows *i*-th problem and 0 otherwise. | Print "YES" (quotes for clarity), if it is possible to make an interesting problemset, and "NO" otherwise.
You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES"). | [
"5 3\n1 0 1\n1 1 0\n1 0 0\n1 0 0\n1 0 0\n",
"3 2\n1 0\n1 1\n0 1\n"
] | [
"NO\n",
"YES\n"
] | In the first example you can't make any interesting problemset, because the first team knows all problems.
In the second example you can choose the first and the third problems. | 1,000 | [
{
"input": "5 3\n1 0 1\n1 1 0\n1 0 0\n1 0 0\n1 0 0",
"output": "NO"
},
{
"input": "3 2\n1 0\n1 1\n0 1",
"output": "YES"
},
{
"input": "10 2\n1 0\n1 0\n0 0\n1 1\n0 0\n1 1\n0 0\n1 1\n0 1\n0 1",
"output": "YES"
},
{
"input": "10 3\n1 0 0\n0 1 1\n1 0 0\n0 1 0\n0 0 1\n1 0 1\n0 1 1... | 1,588,774,649 | 2,147,483,647 | PyPy 3 | OK | TESTS | 143 | 888 | 11,468,800 | n,k=map(int,input().split())
a=[]
for i in range(n):
l=list(map(int,input().split()))
a.append(l)
a=list(set(tuple(i) for i in a))
for i in range(len(a)):
flag=False
for j in range(len(a)):
cnt=0
for x in range(k):
if a[i][x]==1 and a[j][x]!=0:
continue
else:
cnt+=1
if cnt==k:
flag=True
break
if flag:
break
if flag:print("Yes")
else:print("No")
| Title: Qualification Rounds
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Snark and Philip are preparing the problemset for the upcoming pre-qualification round for semi-quarter-finals. They have a bank of *n* problems, and they want to select any non-empty subset of it as a problemset.
*k* experienced teams are participating in the contest. Some of these teams already know some of the problems. To make the contest interesting for them, each of the teams should know at most half of the selected problems.
Determine if Snark and Philip can make an interesting problemset!
Input Specification:
The first line contains two integers *n*, *k* (1<=≤<=*n*<=≤<=105, 1<=≤<=*k*<=≤<=4) — the number of problems and the number of experienced teams.
Each of the next *n* lines contains *k* integers, each equal to 0 or 1. The *j*-th number in the *i*-th line is 1 if *j*-th team knows *i*-th problem and 0 otherwise.
Output Specification:
Print "YES" (quotes for clarity), if it is possible to make an interesting problemset, and "NO" otherwise.
You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES").
Demo Input:
['5 3\n1 0 1\n1 1 0\n1 0 0\n1 0 0\n1 0 0\n', '3 2\n1 0\n1 1\n0 1\n']
Demo Output:
['NO\n', 'YES\n']
Note:
In the first example you can't make any interesting problemset, because the first team knows all problems.
In the second example you can choose the first and the third problems. | ```python
n,k=map(int,input().split())
a=[]
for i in range(n):
l=list(map(int,input().split()))
a.append(l)
a=list(set(tuple(i) for i in a))
for i in range(len(a)):
flag=False
for j in range(len(a)):
cnt=0
for x in range(k):
if a[i][x]==1 and a[j][x]!=0:
continue
else:
cnt+=1
if cnt==k:
flag=True
break
if flag:
break
if flag:print("Yes")
else:print("No")
``` | 3 | |
165 | A | Supercentral Point | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | One day Vasya painted a Cartesian coordinate system on a piece of paper and marked some set of points (*x*1,<=*y*1),<=(*x*2,<=*y*2),<=...,<=(*x**n*,<=*y**n*). Let's define neighbors for some fixed point from the given set (*x*,<=*y*):
- point (*x*',<=*y*') is (*x*,<=*y*)'s right neighbor, if *x*'<=><=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s left neighbor, if *x*'<=<<=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s lower neighbor, if *x*'<==<=*x* and *y*'<=<<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s upper neighbor, if *x*'<==<=*x* and *y*'<=><=*y*
We'll consider point (*x*,<=*y*) from the given set supercentral, if it has at least one upper, at least one lower, at least one left and at least one right neighbor among this set's points.
Vasya marked quite many points on the paper. Analyzing the picture manually is rather a challenge, so Vasya asked you to help him. Your task is to find the number of supercentral points in the given set. | The first input line contains the only integer *n* (1<=≤<=*n*<=≤<=200) — the number of points in the given set. Next *n* lines contain the coordinates of the points written as "*x* *y*" (without the quotes) (|*x*|,<=|*y*|<=≤<=1000), all coordinates are integers. The numbers in the line are separated by exactly one space. It is guaranteed that all points are different. | Print the only number — the number of supercentral points of the given set. | [
"8\n1 1\n4 2\n3 1\n1 2\n0 2\n0 1\n1 0\n1 3\n",
"5\n0 0\n0 1\n1 0\n0 -1\n-1 0\n"
] | [
"2\n",
"1\n"
] | In the first sample the supercentral points are only points (1, 1) and (1, 2).
In the second sample there is one supercental point — point (0, 0). | 500 | [
{
"input": "8\n1 1\n4 2\n3 1\n1 2\n0 2\n0 1\n1 0\n1 3",
"output": "2"
},
{
"input": "5\n0 0\n0 1\n1 0\n0 -1\n-1 0",
"output": "1"
},
{
"input": "9\n-565 -752\n-184 723\n-184 -752\n-184 1\n950 723\n-565 723\n950 -752\n950 1\n-565 1",
"output": "1"
},
{
"input": "25\n-651 897\n... | 1,590,473,275 | 2,147,483,647 | Python 3 | OK | TESTS | 26 | 310 | 307,200 | n = int(input())
x= []
y = []
c=0
for k in range(n):
a,b = map(int,input().split())
x.append(a)
y.append(b)
for i in range(n):
r1,r2,r3,r4=0,0,0,0
for j in range(n):
if x[i]>x[j] and y[i]==y[j]:
r1+=1
if x[i]<x[j] and y[i]==y[j]:
r2+=1
if x[i]==x[j] and y[i]<y[j]:
r3+=1
if x[i]==x[j] and y[i]>y[j]:
r4+=1
if r1>0 and r2>0 and r3>0 and r4>0:
c = c+1
print(c) | Title: Supercentral Point
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Vasya painted a Cartesian coordinate system on a piece of paper and marked some set of points (*x*1,<=*y*1),<=(*x*2,<=*y*2),<=...,<=(*x**n*,<=*y**n*). Let's define neighbors for some fixed point from the given set (*x*,<=*y*):
- point (*x*',<=*y*') is (*x*,<=*y*)'s right neighbor, if *x*'<=><=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s left neighbor, if *x*'<=<<=*x* and *y*'<==<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s lower neighbor, if *x*'<==<=*x* and *y*'<=<<=*y* - point (*x*',<=*y*') is (*x*,<=*y*)'s upper neighbor, if *x*'<==<=*x* and *y*'<=><=*y*
We'll consider point (*x*,<=*y*) from the given set supercentral, if it has at least one upper, at least one lower, at least one left and at least one right neighbor among this set's points.
Vasya marked quite many points on the paper. Analyzing the picture manually is rather a challenge, so Vasya asked you to help him. Your task is to find the number of supercentral points in the given set.
Input Specification:
The first input line contains the only integer *n* (1<=≤<=*n*<=≤<=200) — the number of points in the given set. Next *n* lines contain the coordinates of the points written as "*x* *y*" (without the quotes) (|*x*|,<=|*y*|<=≤<=1000), all coordinates are integers. The numbers in the line are separated by exactly one space. It is guaranteed that all points are different.
Output Specification:
Print the only number — the number of supercentral points of the given set.
Demo Input:
['8\n1 1\n4 2\n3 1\n1 2\n0 2\n0 1\n1 0\n1 3\n', '5\n0 0\n0 1\n1 0\n0 -1\n-1 0\n']
Demo Output:
['2\n', '1\n']
Note:
In the first sample the supercentral points are only points (1, 1) and (1, 2).
In the second sample there is one supercental point — point (0, 0). | ```python
n = int(input())
x= []
y = []
c=0
for k in range(n):
a,b = map(int,input().split())
x.append(a)
y.append(b)
for i in range(n):
r1,r2,r3,r4=0,0,0,0
for j in range(n):
if x[i]>x[j] and y[i]==y[j]:
r1+=1
if x[i]<x[j] and y[i]==y[j]:
r2+=1
if x[i]==x[j] and y[i]<y[j]:
r3+=1
if x[i]==x[j] and y[i]>y[j]:
r4+=1
if r1>0 and r2>0 and r3>0 and r4>0:
c = c+1
print(c)
``` | 3 | |
853 | B | Jury Meeting | PROGRAMMING | 1,800 | [
"greedy",
"sortings",
"two pointers"
] | null | null | Country of Metropolia is holding Olympiad of Metrpolises soon. It mean that all jury members of the olympiad should meet together in Metropolis (the capital of the country) for the problem preparation process.
There are *n*<=+<=1 cities consecutively numbered from 0 to *n*. City 0 is Metropolis that is the meeting point for all jury members. For each city from 1 to *n* there is exactly one jury member living there. Olympiad preparation is a long and demanding process that requires *k* days of work. For all of these *k* days each of the *n* jury members should be present in Metropolis to be able to work on problems.
You know the flight schedule in the country (jury members consider themselves important enough to only use flights for transportation). All flights in Metropolia are either going to Metropolis or out of Metropolis. There are no night flights in Metropolia, or in the other words, plane always takes off at the same day it arrives. On his arrival day and departure day jury member is not able to discuss the olympiad. All flights in Megapolia depart and arrive at the same day.
Gather everybody for *k* days in the capital is a hard objective, doing that while spending the minimum possible money is even harder. Nevertheless, your task is to arrange the cheapest way to bring all of the jury members to Metrpolis, so that they can work together for *k* days and then send them back to their home cities. Cost of the arrangement is defined as a total cost of tickets for all used flights. It is allowed for jury member to stay in Metropolis for more than *k* days. | The first line of input contains three integers *n*, *m* and *k* (1<=≤<=*n*<=≤<=105, 0<=≤<=*m*<=≤<=105, 1<=≤<=*k*<=≤<=106).
The *i*-th of the following *m* lines contains the description of the *i*-th flight defined by four integers *d**i*, *f**i*, *t**i* and *c**i* (1<=≤<=*d**i*<=≤<=106, 0<=≤<=*f**i*<=≤<=*n*, 0<=≤<=*t**i*<=≤<=*n*, 1<=≤<=*c**i*<=≤<=106, exactly one of *f**i* and *t**i* equals zero), the day of departure (and arrival), the departure city, the arrival city and the ticket cost. | Output the only integer that is the minimum cost of gathering all jury members in city 0 for *k* days and then sending them back to their home cities.
If it is impossible to gather everybody in Metropolis for *k* days and then send them back to their home cities, output "-1" (without the quotes). | [
"2 6 5\n1 1 0 5000\n3 2 0 5500\n2 2 0 6000\n15 0 2 9000\n9 0 1 7000\n8 0 2 6500\n",
"2 4 5\n1 2 0 5000\n2 1 0 4500\n2 1 0 3000\n8 0 1 6000\n"
] | [
"24500\n",
"-1\n"
] | The optimal way to gather everybody in Metropolis in the first sample test is to use flights that take place on days 1, 2, 8 and 9. The only alternative option is to send jury member from second city back home on day 15, that would cost 2500 more.
In the second sample it is impossible to send jury member from city 2 back home from Metropolis. | 750 | [
{
"input": "2 6 5\n1 1 0 5000\n3 2 0 5500\n2 2 0 6000\n15 0 2 9000\n9 0 1 7000\n8 0 2 6500",
"output": "24500"
},
{
"input": "2 4 5\n1 2 0 5000\n2 1 0 4500\n2 1 0 3000\n8 0 1 6000",
"output": "-1"
},
{
"input": "2 5 5\n1 1 0 1\n2 2 0 100\n3 2 0 10\n9 0 1 1000\n10 0 2 10000",
"output"... | 1,698,876,977 | 2,147,483,647 | Python 3 | OK | TESTS | 83 | 389 | 19,251,200 | g = lambda: map(int, input().split())
n, m, k = g()
F, T = [], []
e = int(3e11)
for i in range(m):
d, f, t, c = g()
if f: F.append((d, f, c))
else: T.append((-d, t, c))
for p in [F, T]:
C = [e] * (n + 1)
s = n * e
q = []
p.sort()
for d, t, c in p:
if C[t] > c:
s += c - C[t]
C[t] = c
if s < e: q.append((s, d))
p.clear()
p += q
s, t = e, (0, 0)
for f in F:
while f:
if t[1] + f[1] + k < 0: s = min(s, f[0] + t[0])
elif T:
t = T.pop()
continue
f = 0
print(s if s < e else -1) | Title: Jury Meeting
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Country of Metropolia is holding Olympiad of Metrpolises soon. It mean that all jury members of the olympiad should meet together in Metropolis (the capital of the country) for the problem preparation process.
There are *n*<=+<=1 cities consecutively numbered from 0 to *n*. City 0 is Metropolis that is the meeting point for all jury members. For each city from 1 to *n* there is exactly one jury member living there. Olympiad preparation is a long and demanding process that requires *k* days of work. For all of these *k* days each of the *n* jury members should be present in Metropolis to be able to work on problems.
You know the flight schedule in the country (jury members consider themselves important enough to only use flights for transportation). All flights in Metropolia are either going to Metropolis or out of Metropolis. There are no night flights in Metropolia, or in the other words, plane always takes off at the same day it arrives. On his arrival day and departure day jury member is not able to discuss the olympiad. All flights in Megapolia depart and arrive at the same day.
Gather everybody for *k* days in the capital is a hard objective, doing that while spending the minimum possible money is even harder. Nevertheless, your task is to arrange the cheapest way to bring all of the jury members to Metrpolis, so that they can work together for *k* days and then send them back to their home cities. Cost of the arrangement is defined as a total cost of tickets for all used flights. It is allowed for jury member to stay in Metropolis for more than *k* days.
Input Specification:
The first line of input contains three integers *n*, *m* and *k* (1<=≤<=*n*<=≤<=105, 0<=≤<=*m*<=≤<=105, 1<=≤<=*k*<=≤<=106).
The *i*-th of the following *m* lines contains the description of the *i*-th flight defined by four integers *d**i*, *f**i*, *t**i* and *c**i* (1<=≤<=*d**i*<=≤<=106, 0<=≤<=*f**i*<=≤<=*n*, 0<=≤<=*t**i*<=≤<=*n*, 1<=≤<=*c**i*<=≤<=106, exactly one of *f**i* and *t**i* equals zero), the day of departure (and arrival), the departure city, the arrival city and the ticket cost.
Output Specification:
Output the only integer that is the minimum cost of gathering all jury members in city 0 for *k* days and then sending them back to their home cities.
If it is impossible to gather everybody in Metropolis for *k* days and then send them back to their home cities, output "-1" (without the quotes).
Demo Input:
['2 6 5\n1 1 0 5000\n3 2 0 5500\n2 2 0 6000\n15 0 2 9000\n9 0 1 7000\n8 0 2 6500\n', '2 4 5\n1 2 0 5000\n2 1 0 4500\n2 1 0 3000\n8 0 1 6000\n']
Demo Output:
['24500\n', '-1\n']
Note:
The optimal way to gather everybody in Metropolis in the first sample test is to use flights that take place on days 1, 2, 8 and 9. The only alternative option is to send jury member from second city back home on day 15, that would cost 2500 more.
In the second sample it is impossible to send jury member from city 2 back home from Metropolis. | ```python
g = lambda: map(int, input().split())
n, m, k = g()
F, T = [], []
e = int(3e11)
for i in range(m):
d, f, t, c = g()
if f: F.append((d, f, c))
else: T.append((-d, t, c))
for p in [F, T]:
C = [e] * (n + 1)
s = n * e
q = []
p.sort()
for d, t, c in p:
if C[t] > c:
s += c - C[t]
C[t] = c
if s < e: q.append((s, d))
p.clear()
p += q
s, t = e, (0, 0)
for f in F:
while f:
if t[1] + f[1] + k < 0: s = min(s, f[0] + t[0])
elif T:
t = T.pop()
continue
f = 0
print(s if s < e else -1)
``` | 3 | |
925 | A | Stairs and Elevators | PROGRAMMING | 1,600 | [
"binary search"
] | null | null | In the year of $30XX$ participants of some world programming championship live in a single large hotel. The hotel has $n$ floors. Each floor has $m$ sections with a single corridor connecting all of them. The sections are enumerated from $1$ to $m$ along the corridor, and all sections with equal numbers on different floors are located exactly one above the other. Thus, the hotel can be represented as a rectangle of height $n$ and width $m$. We can denote sections with pairs of integers $(i, j)$, where $i$ is the floor, and $j$ is the section number on the floor.
The guests can walk along the corridor on each floor, use stairs and elevators. Each stairs or elevator occupies all sections $(1, x)$, $(2, x)$, $\ldots$, $(n, x)$ for some $x$ between $1$ and $m$. All sections not occupied with stairs or elevators contain guest rooms. It takes one time unit to move between neighboring sections on the same floor or to move one floor up or down using stairs. It takes one time unit to move up to $v$ floors in any direction using an elevator. You can assume you don't have to wait for an elevator, and the time needed to enter or exit an elevator is negligible.
You are to process $q$ queries. Each query is a question "what is the minimum time needed to go from a room in section $(x_1, y_1)$ to a room in section $(x_2, y_2)$?" | The first line contains five integers $n, m, c_l, c_e, v$ ($2 \leq n, m \leq 10^8$, $0 \leq c_l, c_e \leq 10^5$, $1 \leq c_l + c_e \leq m - 1$, $1 \leq v \leq n - 1$) — the number of floors and section on each floor, the number of stairs, the number of elevators and the maximum speed of an elevator, respectively.
The second line contains $c_l$ integers $l_1, \ldots, l_{c_l}$ in increasing order ($1 \leq l_i \leq m$), denoting the positions of the stairs. If $c_l = 0$, the second line is empty.
The third line contains $c_e$ integers $e_1, \ldots, e_{c_e}$ in increasing order, denoting the elevators positions in the same format. It is guaranteed that all integers $l_i$ and $e_i$ are distinct.
The fourth line contains a single integer $q$ ($1 \leq q \leq 10^5$) — the number of queries.
The next $q$ lines describe queries. Each of these lines contains four integers $x_1, y_1, x_2, y_2$ ($1 \leq x_1, x_2 \leq n$, $1 \leq y_1, y_2 \leq m$) — the coordinates of starting and finishing sections for the query. It is guaranteed that the starting and finishing sections are distinct. It is also guaranteed that these sections contain guest rooms, i. e. $y_1$ and $y_2$ are not among $l_i$ and $e_i$. | Print $q$ integers, one per line — the answers for the queries. | [
"5 6 1 1 3\n2\n5\n3\n1 1 5 6\n1 3 5 4\n3 3 5 3\n"
] | [
"7\n5\n4\n"
] | In the first query the optimal way is to go to the elevator in the 5-th section in four time units, use it to go to the fifth floor in two time units and go to the destination in one more time unit.
In the second query it is still optimal to use the elevator, but in the third query it is better to use the stairs in the section 2. | 500 | [
{
"input": "5 6 1 1 3\n2\n5\n3\n1 1 5 6\n1 3 5 4\n3 3 5 3",
"output": "7\n5\n4"
},
{
"input": "2 2 0 1 1\n\n1\n1\n1 2 2 2",
"output": "3"
},
{
"input": "4 4 1 0 1\n4\n\n5\n1 1 2 2\n1 3 2 2\n3 3 4 3\n3 2 2 2\n1 2 2 3",
"output": "6\n4\n3\n5\n4"
},
{
"input": "10 10 1 8 4\n10\n... | 1,689,345,603 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | print("_RANDOM_GUESS_1689345603.107276")# 1689345603.1072981 | Title: Stairs and Elevators
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In the year of $30XX$ participants of some world programming championship live in a single large hotel. The hotel has $n$ floors. Each floor has $m$ sections with a single corridor connecting all of them. The sections are enumerated from $1$ to $m$ along the corridor, and all sections with equal numbers on different floors are located exactly one above the other. Thus, the hotel can be represented as a rectangle of height $n$ and width $m$. We can denote sections with pairs of integers $(i, j)$, where $i$ is the floor, and $j$ is the section number on the floor.
The guests can walk along the corridor on each floor, use stairs and elevators. Each stairs or elevator occupies all sections $(1, x)$, $(2, x)$, $\ldots$, $(n, x)$ for some $x$ between $1$ and $m$. All sections not occupied with stairs or elevators contain guest rooms. It takes one time unit to move between neighboring sections on the same floor or to move one floor up or down using stairs. It takes one time unit to move up to $v$ floors in any direction using an elevator. You can assume you don't have to wait for an elevator, and the time needed to enter or exit an elevator is negligible.
You are to process $q$ queries. Each query is a question "what is the minimum time needed to go from a room in section $(x_1, y_1)$ to a room in section $(x_2, y_2)$?"
Input Specification:
The first line contains five integers $n, m, c_l, c_e, v$ ($2 \leq n, m \leq 10^8$, $0 \leq c_l, c_e \leq 10^5$, $1 \leq c_l + c_e \leq m - 1$, $1 \leq v \leq n - 1$) — the number of floors and section on each floor, the number of stairs, the number of elevators and the maximum speed of an elevator, respectively.
The second line contains $c_l$ integers $l_1, \ldots, l_{c_l}$ in increasing order ($1 \leq l_i \leq m$), denoting the positions of the stairs. If $c_l = 0$, the second line is empty.
The third line contains $c_e$ integers $e_1, \ldots, e_{c_e}$ in increasing order, denoting the elevators positions in the same format. It is guaranteed that all integers $l_i$ and $e_i$ are distinct.
The fourth line contains a single integer $q$ ($1 \leq q \leq 10^5$) — the number of queries.
The next $q$ lines describe queries. Each of these lines contains four integers $x_1, y_1, x_2, y_2$ ($1 \leq x_1, x_2 \leq n$, $1 \leq y_1, y_2 \leq m$) — the coordinates of starting and finishing sections for the query. It is guaranteed that the starting and finishing sections are distinct. It is also guaranteed that these sections contain guest rooms, i. e. $y_1$ and $y_2$ are not among $l_i$ and $e_i$.
Output Specification:
Print $q$ integers, one per line — the answers for the queries.
Demo Input:
['5 6 1 1 3\n2\n5\n3\n1 1 5 6\n1 3 5 4\n3 3 5 3\n']
Demo Output:
['7\n5\n4\n']
Note:
In the first query the optimal way is to go to the elevator in the 5-th section in four time units, use it to go to the fifth floor in two time units and go to the destination in one more time unit.
In the second query it is still optimal to use the elevator, but in the third query it is better to use the stairs in the section 2. | ```python
print("_RANDOM_GUESS_1689345603.107276")# 1689345603.1072981
``` | 0 | |
877 | A | Alex and broken contest | PROGRAMMING | 1,100 | [
"implementation",
"strings"
] | null | null | One day Alex was creating a contest about his friends, but accidentally deleted it. Fortunately, all the problems were saved, but now he needs to find them among other problems.
But there are too many problems, to do it manually. Alex asks you to write a program, which will determine if a problem is from this contest by its name.
It is known, that problem is from this contest if and only if its name contains one of Alex's friends' name exactly once. His friends' names are "Danil", "Olya", "Slava", "Ann" and "Nikita".
Names are case sensitive. | The only line contains string from lowercase and uppercase letters and "_" symbols of length, not more than 100 — the name of the problem. | Print "YES", if problem is from this contest, and "NO" otherwise. | [
"Alex_and_broken_contest\n",
"NikitaAndString\n",
"Danil_and_Olya\n"
] | [
"NO",
"YES",
"NO"
] | none | 500 | [
{
"input": "Alex_and_broken_contest",
"output": "NO"
},
{
"input": "NikitaAndString",
"output": "YES"
},
{
"input": "Danil_and_Olya",
"output": "NO"
},
{
"input": "Slava____and_the_game",
"output": "YES"
},
{
"input": "Olya_and_energy_drinks",
"output": "YES"
... | 1,593,421,180 | 2,147,483,647 | Python 3 | OK | TESTS | 55 | 109 | 6,656,000 | s=input()
cnt=s.count("Danil")+s.count("Olya")+s.count("Slava")+s.count("Nikita")+s.count("Ann")
print("YES" if cnt == 1 else "NO") | Title: Alex and broken contest
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Alex was creating a contest about his friends, but accidentally deleted it. Fortunately, all the problems were saved, but now he needs to find them among other problems.
But there are too many problems, to do it manually. Alex asks you to write a program, which will determine if a problem is from this contest by its name.
It is known, that problem is from this contest if and only if its name contains one of Alex's friends' name exactly once. His friends' names are "Danil", "Olya", "Slava", "Ann" and "Nikita".
Names are case sensitive.
Input Specification:
The only line contains string from lowercase and uppercase letters and "_" symbols of length, not more than 100 — the name of the problem.
Output Specification:
Print "YES", if problem is from this contest, and "NO" otherwise.
Demo Input:
['Alex_and_broken_contest\n', 'NikitaAndString\n', 'Danil_and_Olya\n']
Demo Output:
['NO', 'YES', 'NO']
Note:
none | ```python
s=input()
cnt=s.count("Danil")+s.count("Olya")+s.count("Slava")+s.count("Nikita")+s.count("Ann")
print("YES" if cnt == 1 else "NO")
``` | 3 | |
762 | A | k-th divisor | PROGRAMMING | 1,400 | [
"math",
"number theory"
] | null | null | You are given two integers *n* and *k*. Find *k*-th smallest divisor of *n*, or report that it doesn't exist.
Divisor of *n* is any such natural number, that *n* can be divided by it without remainder. | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=1015, 1<=≤<=*k*<=≤<=109). | If *n* has less than *k* divisors, output -1.
Otherwise, output the *k*-th smallest divisor of *n*. | [
"4 2\n",
"5 3\n",
"12 5\n"
] | [
"2\n",
"-1\n",
"6\n"
] | In the first example, number 4 has three divisors: 1, 2 and 4. The second one is 2.
In the second example, number 5 has only two divisors: 1 and 5. The third divisor doesn't exist, so the answer is -1. | 0 | [
{
"input": "4 2",
"output": "2"
},
{
"input": "5 3",
"output": "-1"
},
{
"input": "12 5",
"output": "6"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "866421317361600 26880",
"output": "866421317361600"
},
{
"input": "866421317361600 26881",
"ou... | 1,628,161,344 | 2,147,483,647 | PyPy 3 | OK | TESTS | 96 | 748 | 23,552,000 | import sys
import math
from collections import Counter
# n = int(input())
# a = list(map(int, input().split()))
n, k = map(int, input().split())
less = []
more = []
i = 1
count = 0
root = int(math.sqrt(n))
while i <= root :
if n % i == 0 :
less.append(i)
if i * i != n:
more.append(n // i)
if len(less) >= k :
break
i += 1
if k > len(less) + len(more) :
print(-1)
else :
if k > len(less) :
print(more[-(k - len(less))])
else :
print(less[k - 1])
| Title: k-th divisor
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given two integers *n* and *k*. Find *k*-th smallest divisor of *n*, or report that it doesn't exist.
Divisor of *n* is any such natural number, that *n* can be divided by it without remainder.
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=1015, 1<=≤<=*k*<=≤<=109).
Output Specification:
If *n* has less than *k* divisors, output -1.
Otherwise, output the *k*-th smallest divisor of *n*.
Demo Input:
['4 2\n', '5 3\n', '12 5\n']
Demo Output:
['2\n', '-1\n', '6\n']
Note:
In the first example, number 4 has three divisors: 1, 2 and 4. The second one is 2.
In the second example, number 5 has only two divisors: 1 and 5. The third divisor doesn't exist, so the answer is -1. | ```python
import sys
import math
from collections import Counter
# n = int(input())
# a = list(map(int, input().split()))
n, k = map(int, input().split())
less = []
more = []
i = 1
count = 0
root = int(math.sqrt(n))
while i <= root :
if n % i == 0 :
less.append(i)
if i * i != n:
more.append(n // i)
if len(less) >= k :
break
i += 1
if k > len(less) + len(more) :
print(-1)
else :
if k > len(less) :
print(more[-(k - len(less))])
else :
print(less[k - 1])
``` | 3 | |
597 | B | Restaurant | PROGRAMMING | 1,600 | [
"dp",
"greedy",
"sortings"
] | null | null | A restaurant received *n* orders for the rental. Each rental order reserve the restaurant for a continuous period of time, the *i*-th order is characterized by two time values — the start time *l**i* and the finish time *r**i* (*l**i*<=≤<=*r**i*).
Restaurant management can accept and reject orders. What is the maximal number of orders the restaurant can accept?
No two accepted orders can intersect, i.e. they can't share even a moment of time. If one order ends in the moment other starts, they can't be accepted both. | The first line contains integer number *n* (1<=≤<=*n*<=≤<=5·105) — number of orders. The following *n* lines contain integer values *l**i* and *r**i* each (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=109). | Print the maximal number of orders that can be accepted. | [
"2\n7 11\n4 7\n",
"5\n1 2\n2 3\n3 4\n4 5\n5 6\n",
"6\n4 8\n1 5\n4 7\n2 5\n1 3\n6 8\n"
] | [
"1\n",
"3\n",
"2\n"
] | none | 1,000 | [
{
"input": "2\n7 11\n4 7",
"output": "1"
},
{
"input": "5\n1 2\n2 3\n3 4\n4 5\n5 6",
"output": "3"
},
{
"input": "6\n4 8\n1 5\n4 7\n2 5\n1 3\n6 8",
"output": "2"
},
{
"input": "1\n1 1",
"output": "1"
},
{
"input": "2\n4 6\n4 8",
"output": "1"
},
{
"inp... | 1,447,336,455 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 31 | 102,400 | n = int(input())
order = [[int(__) for __ in input().split()] for _ in range(n)]
order.sort(key=lambda x: x[1])
print(order)
ans = 0
right = -1
for i in order:
if right < i[0]:
ans += 1
right = i[1]
print(ans) | Title: Restaurant
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A restaurant received *n* orders for the rental. Each rental order reserve the restaurant for a continuous period of time, the *i*-th order is characterized by two time values — the start time *l**i* and the finish time *r**i* (*l**i*<=≤<=*r**i*).
Restaurant management can accept and reject orders. What is the maximal number of orders the restaurant can accept?
No two accepted orders can intersect, i.e. they can't share even a moment of time. If one order ends in the moment other starts, they can't be accepted both.
Input Specification:
The first line contains integer number *n* (1<=≤<=*n*<=≤<=5·105) — number of orders. The following *n* lines contain integer values *l**i* and *r**i* each (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=109).
Output Specification:
Print the maximal number of orders that can be accepted.
Demo Input:
['2\n7 11\n4 7\n', '5\n1 2\n2 3\n3 4\n4 5\n5 6\n', '6\n4 8\n1 5\n4 7\n2 5\n1 3\n6 8\n']
Demo Output:
['1\n', '3\n', '2\n']
Note:
none | ```python
n = int(input())
order = [[int(__) for __ in input().split()] for _ in range(n)]
order.sort(key=lambda x: x[1])
print(order)
ans = 0
right = -1
for i in order:
if right < i[0]:
ans += 1
right = i[1]
print(ans)
``` | 0 | |
220 | A | Little Elephant and Problem | PROGRAMMING | 1,300 | [
"implementation",
"sortings"
] | null | null | The Little Elephant has got a problem — somebody has been touching his sorted by non-decreasing array *a* of length *n* and possibly swapped some elements of the array.
The Little Elephant doesn't want to call the police until he understands if he could have accidentally changed the array himself. He thinks that he could have accidentally changed array *a*, only if array *a* can be sorted in no more than one operation of swapping elements (not necessarily adjacent). That is, the Little Elephant could have accidentally swapped some two elements.
Help the Little Elephant, determine if he could have accidentally changed the array *a*, sorted by non-decreasing, himself. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=105) — the size of array *a*. The next line contains *n* positive integers, separated by single spaces and not exceeding 109, — array *a*.
Note that the elements of the array are not necessarily distinct numbers. | In a single line print "YES" (without the quotes) if the Little Elephant could have accidentally changed the array himself, and "NO" (without the quotes) otherwise. | [
"2\n1 2\n",
"3\n3 2 1\n",
"4\n4 3 2 1\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | In the first sample the array has already been sorted, so to sort it, we need 0 swap operations, that is not more than 1. Thus, the answer is "YES".
In the second sample we can sort the array if we swap elements 1 and 3, so we need 1 swap operation to sort the array. Thus, the answer is "YES".
In the third sample we can't sort the array in more than one swap operation, so the answer is "NO". | 500 | [
{
"input": "2\n1 2",
"output": "YES"
},
{
"input": "3\n3 2 1",
"output": "YES"
},
{
"input": "4\n4 3 2 1",
"output": "NO"
},
{
"input": "3\n1 3 2",
"output": "YES"
},
{
"input": "2\n2 1",
"output": "YES"
},
{
"input": "9\n7 7 8 8 10 10 10 10 1000000000... | 1,622,488,919 | 2,147,483,647 | Python 3 | OK | TESTS | 96 | 264 | 9,113,600 | from sys import stdin
from collections import deque,Counter,defaultdict
import sys
import math
import operator
import random
from fractions import Fraction
import functools
import bisect
import itertools
from heapq import *
import time
n = int(input())
arr = list(map(int,input().split()))
c = 0
for i,j in zip(arr,sorted(arr)):
if i!=j:
c+=1
print('YES' if c == 0 or c == 2 else 'NO')
| Title: Little Elephant and Problem
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Little Elephant has got a problem — somebody has been touching his sorted by non-decreasing array *a* of length *n* and possibly swapped some elements of the array.
The Little Elephant doesn't want to call the police until he understands if he could have accidentally changed the array himself. He thinks that he could have accidentally changed array *a*, only if array *a* can be sorted in no more than one operation of swapping elements (not necessarily adjacent). That is, the Little Elephant could have accidentally swapped some two elements.
Help the Little Elephant, determine if he could have accidentally changed the array *a*, sorted by non-decreasing, himself.
Input Specification:
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=105) — the size of array *a*. The next line contains *n* positive integers, separated by single spaces and not exceeding 109, — array *a*.
Note that the elements of the array are not necessarily distinct numbers.
Output Specification:
In a single line print "YES" (without the quotes) if the Little Elephant could have accidentally changed the array himself, and "NO" (without the quotes) otherwise.
Demo Input:
['2\n1 2\n', '3\n3 2 1\n', '4\n4 3 2 1\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n']
Note:
In the first sample the array has already been sorted, so to sort it, we need 0 swap operations, that is not more than 1. Thus, the answer is "YES".
In the second sample we can sort the array if we swap elements 1 and 3, so we need 1 swap operation to sort the array. Thus, the answer is "YES".
In the third sample we can't sort the array in more than one swap operation, so the answer is "NO". | ```python
from sys import stdin
from collections import deque,Counter,defaultdict
import sys
import math
import operator
import random
from fractions import Fraction
import functools
import bisect
import itertools
from heapq import *
import time
n = int(input())
arr = list(map(int,input().split()))
c = 0
for i,j in zip(arr,sorted(arr)):
if i!=j:
c+=1
print('YES' if c == 0 or c == 2 else 'NO')
``` | 3 | |
4 | A | Watermelon | PROGRAMMING | 800 | [
"brute force",
"math"
] | A. Watermelon | 1 | 64 | One hot summer day Pete and his friend Billy decided to buy a watermelon. They chose the biggest and the ripest one, in their opinion. After that the watermelon was weighed, and the scales showed *w* kilos. They rushed home, dying of thirst, and decided to divide the berry, however they faced a hard problem.
Pete and Billy are great fans of even numbers, that's why they want to divide the watermelon in such a way that each of the two parts weighs even number of kilos, at the same time it is not obligatory that the parts are equal. The boys are extremely tired and want to start their meal as soon as possible, that's why you should help them and find out, if they can divide the watermelon in the way they want. For sure, each of them should get a part of positive weight. | The first (and the only) input line contains integer number *w* (1<=≤<=*w*<=≤<=100) — the weight of the watermelon bought by the boys. | Print YES, if the boys can divide the watermelon into two parts, each of them weighing even number of kilos; and NO in the opposite case. | [
"8\n"
] | [
"YES\n"
] | For example, the boys can divide the watermelon into two parts of 2 and 6 kilos respectively (another variant — two parts of 4 and 4 kilos). | 0 | [
{
"input": "8",
"output": "YES"
},
{
"input": "5",
"output": "NO"
},
{
"input": "4",
"output": "YES"
},
{
"input": "3",
"output": "NO"
},
{
"input": "2",
"output": "NO"
},
{
"input": "1",
"output": "NO"
},
{
"input": "7",
"output": "NO"... | 1,696,574,190 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 62 | 0 | weight = int(input("Enter the weight of the watermelon : "))
if w(1 <=w<= 100):
print("Invalid Input")
elif weight % 2 != 0:
print("NO")
else:
print("YES")
| Title: Watermelon
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
One hot summer day Pete and his friend Billy decided to buy a watermelon. They chose the biggest and the ripest one, in their opinion. After that the watermelon was weighed, and the scales showed *w* kilos. They rushed home, dying of thirst, and decided to divide the berry, however they faced a hard problem.
Pete and Billy are great fans of even numbers, that's why they want to divide the watermelon in such a way that each of the two parts weighs even number of kilos, at the same time it is not obligatory that the parts are equal. The boys are extremely tired and want to start their meal as soon as possible, that's why you should help them and find out, if they can divide the watermelon in the way they want. For sure, each of them should get a part of positive weight.
Input Specification:
The first (and the only) input line contains integer number *w* (1<=≤<=*w*<=≤<=100) — the weight of the watermelon bought by the boys.
Output Specification:
Print YES, if the boys can divide the watermelon into two parts, each of them weighing even number of kilos; and NO in the opposite case.
Demo Input:
['8\n']
Demo Output:
['YES\n']
Note:
For example, the boys can divide the watermelon into two parts of 2 and 6 kilos respectively (another variant — two parts of 4 and 4 kilos). | ```python
weight = int(input("Enter the weight of the watermelon : "))
if w(1 <=w<= 100):
print("Invalid Input")
elif weight % 2 != 0:
print("NO")
else:
print("YES")
``` | -1 |
198 | A | About Bacteria | PROGRAMMING | 1,700 | [
"implementation",
"math"
] | null | null | Qwerty the Ranger took up a government job and arrived on planet Mars. He should stay in the secret lab and conduct some experiments on bacteria that have funny and abnormal properties. The job isn't difficult, but the salary is high.
At the beginning of the first experiment there is a single bacterium in the test tube. Every second each bacterium in the test tube divides itself into *k* bacteria. After that some abnormal effects create *b* more bacteria in the test tube. Thus, if at the beginning of some second the test tube had *x* bacteria, then at the end of the second it will have *kx*<=+<=*b* bacteria.
The experiment showed that after *n* seconds there were exactly *z* bacteria and the experiment ended at this point.
For the second experiment Qwerty is going to sterilize the test tube and put there *t* bacteria. He hasn't started the experiment yet but he already wonders, how many seconds he will need to grow at least *z* bacteria. The ranger thinks that the bacteria will divide by the same rule as in the first experiment.
Help Qwerty and find the minimum number of seconds needed to get a tube with at least *z* bacteria in the second experiment. | The first line contains four space-separated integers *k*, *b*, *n* and *t* (1<=≤<=*k*,<=*b*,<=*n*,<=*t*<=≤<=106) — the parameters of bacterial growth, the time Qwerty needed to grow *z* bacteria in the first experiment and the initial number of bacteria in the second experiment, correspondingly. | Print a single number — the minimum number of seconds Qwerty needs to grow at least *z* bacteria in the tube. | [
"3 1 3 5\n",
"1 4 4 7\n",
"2 2 4 100\n"
] | [
"2",
"3",
"0"
] | none | 500 | [
{
"input": "3 1 3 5",
"output": "2"
},
{
"input": "1 4 4 7",
"output": "3"
},
{
"input": "2 2 4 100",
"output": "0"
},
{
"input": "1 2 3 100",
"output": "0"
},
{
"input": "10 10 10 123456",
"output": "6"
},
{
"input": "847 374 283 485756",
"output"... | 1,593,008,195 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 218 | 20,172,800 | k,b,n,t=map(int,input().split())
temp=1
count=0
while(1):
print(temp)
if(((t-1)*(k-1))+b>b*temp):
temp=temp*k
count+=1
else:
break;
print(max(0,(n-count)-1))
| Title: About Bacteria
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Qwerty the Ranger took up a government job and arrived on planet Mars. He should stay in the secret lab and conduct some experiments on bacteria that have funny and abnormal properties. The job isn't difficult, but the salary is high.
At the beginning of the first experiment there is a single bacterium in the test tube. Every second each bacterium in the test tube divides itself into *k* bacteria. After that some abnormal effects create *b* more bacteria in the test tube. Thus, if at the beginning of some second the test tube had *x* bacteria, then at the end of the second it will have *kx*<=+<=*b* bacteria.
The experiment showed that after *n* seconds there were exactly *z* bacteria and the experiment ended at this point.
For the second experiment Qwerty is going to sterilize the test tube and put there *t* bacteria. He hasn't started the experiment yet but he already wonders, how many seconds he will need to grow at least *z* bacteria. The ranger thinks that the bacteria will divide by the same rule as in the first experiment.
Help Qwerty and find the minimum number of seconds needed to get a tube with at least *z* bacteria in the second experiment.
Input Specification:
The first line contains four space-separated integers *k*, *b*, *n* and *t* (1<=≤<=*k*,<=*b*,<=*n*,<=*t*<=≤<=106) — the parameters of bacterial growth, the time Qwerty needed to grow *z* bacteria in the first experiment and the initial number of bacteria in the second experiment, correspondingly.
Output Specification:
Print a single number — the minimum number of seconds Qwerty needs to grow at least *z* bacteria in the tube.
Demo Input:
['3 1 3 5\n', '1 4 4 7\n', '2 2 4 100\n']
Demo Output:
['2', '3', '0']
Note:
none | ```python
k,b,n,t=map(int,input().split())
temp=1
count=0
while(1):
print(temp)
if(((t-1)*(k-1))+b>b*temp):
temp=temp*k
count+=1
else:
break;
print(max(0,(n-count)-1))
``` | 0 | |
486 | A | Calculating Function | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | For a positive integer *n* let's define a function *f*:
*f*(*n*)<==<=<=-<=1<=+<=2<=-<=3<=+<=..<=+<=(<=-<=1)*n**n*
Your task is to calculate *f*(*n*) for a given integer *n*. | The single line contains the positive integer *n* (1<=≤<=*n*<=≤<=1015). | Print *f*(*n*) in a single line. | [
"4\n",
"5\n"
] | [
"2\n",
"-3\n"
] | *f*(4) = - 1 + 2 - 3 + 4 = 2
*f*(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | 500 | [
{
"input": "4",
"output": "2"
},
{
"input": "5",
"output": "-3"
},
{
"input": "1000000000",
"output": "500000000"
},
{
"input": "1000000001",
"output": "-500000001"
},
{
"input": "1000000000000000",
"output": "500000000000000"
},
{
"input": "100",
... | 1,697,816,035 | 2,147,483,647 | Python 3 | OK | TESTS | 39 | 46 | 0 | S0l=int(input())
if S0l%2==0:
print(S0l//2)
else:
print(S0l//2-S0l) | Title: Calculating Function
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
For a positive integer *n* let's define a function *f*:
*f*(*n*)<==<=<=-<=1<=+<=2<=-<=3<=+<=..<=+<=(<=-<=1)*n**n*
Your task is to calculate *f*(*n*) for a given integer *n*.
Input Specification:
The single line contains the positive integer *n* (1<=≤<=*n*<=≤<=1015).
Output Specification:
Print *f*(*n*) in a single line.
Demo Input:
['4\n', '5\n']
Demo Output:
['2\n', '-3\n']
Note:
*f*(4) = - 1 + 2 - 3 + 4 = 2
*f*(5) = - 1 + 2 - 3 + 4 - 5 = - 3 | ```python
S0l=int(input())
if S0l%2==0:
print(S0l//2)
else:
print(S0l//2-S0l)
``` | 3 | |
723 | A | The New Year: Meeting Friends | PROGRAMMING | 800 | [
"implementation",
"math",
"sortings"
] | null | null | There are three friend living on the straight line *Ox* in Lineland. The first friend lives at the point *x*1, the second friend lives at the point *x*2, and the third friend lives at the point *x*3. They plan to celebrate the New Year together, so they need to meet at one point. What is the minimum total distance they have to travel in order to meet at some point and celebrate the New Year?
It's guaranteed that the optimal answer is always integer. | The first line of the input contains three distinct integers *x*1, *x*2 and *x*3 (1<=≤<=*x*1,<=*x*2,<=*x*3<=≤<=100) — the coordinates of the houses of the first, the second and the third friends respectively. | Print one integer — the minimum total distance the friends need to travel in order to meet together. | [
"7 1 4\n",
"30 20 10\n"
] | [
"6\n",
"20\n"
] | In the first sample, friends should meet at the point 4. Thus, the first friend has to travel the distance of 3 (from the point 7 to the point 4), the second friend also has to travel the distance of 3 (from the point 1 to the point 4), while the third friend should not go anywhere because he lives at the point 4. | 500 | [
{
"input": "7 1 4",
"output": "6"
},
{
"input": "30 20 10",
"output": "20"
},
{
"input": "1 4 100",
"output": "99"
},
{
"input": "100 1 91",
"output": "99"
},
{
"input": "1 45 100",
"output": "99"
},
{
"input": "1 2 3",
"output": "2"
},
{
"... | 1,687,781,491 | 2,147,483,647 | Python 3 | OK | TESTS | 48 | 46 | 0 | vals = sorted(map(int, input().split()))
dist = max(vals) - min(vals)
print(dist) | Title: The New Year: Meeting Friends
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are three friend living on the straight line *Ox* in Lineland. The first friend lives at the point *x*1, the second friend lives at the point *x*2, and the third friend lives at the point *x*3. They plan to celebrate the New Year together, so they need to meet at one point. What is the minimum total distance they have to travel in order to meet at some point and celebrate the New Year?
It's guaranteed that the optimal answer is always integer.
Input Specification:
The first line of the input contains three distinct integers *x*1, *x*2 and *x*3 (1<=≤<=*x*1,<=*x*2,<=*x*3<=≤<=100) — the coordinates of the houses of the first, the second and the third friends respectively.
Output Specification:
Print one integer — the minimum total distance the friends need to travel in order to meet together.
Demo Input:
['7 1 4\n', '30 20 10\n']
Demo Output:
['6\n', '20\n']
Note:
In the first sample, friends should meet at the point 4. Thus, the first friend has to travel the distance of 3 (from the point 7 to the point 4), the second friend also has to travel the distance of 3 (from the point 1 to the point 4), while the third friend should not go anywhere because he lives at the point 4. | ```python
vals = sorted(map(int, input().split()))
dist = max(vals) - min(vals)
print(dist)
``` | 3 | |
950 | B | Intercepted Message | PROGRAMMING | 1,100 | [
"greedy",
"implementation"
] | null | null | Hacker Zhorik wants to decipher two secret messages he intercepted yesterday. Yeah message is a sequence of encrypted blocks, each of them consists of several bytes of information.
Zhorik knows that each of the messages is an archive containing one or more files. Zhorik knows how each of these archives was transferred through the network: if an archive consists of *k* files of sizes *l*1,<=*l*2,<=...,<=*l**k* bytes, then the *i*-th file is split to one or more blocks *b**i*,<=1,<=*b**i*,<=2,<=...,<=*b**i*,<=*m**i* (here the total length of the blocks *b**i*,<=1<=+<=*b**i*,<=2<=+<=...<=+<=*b**i*,<=*m**i* is equal to the length of the file *l**i*), and after that all blocks are transferred through the network, maintaining the order of files in the archive.
Zhorik thinks that the two messages contain the same archive, because their total lengths are equal. However, each file can be split in blocks in different ways in the two messages.
You are given the lengths of blocks in each of the two messages. Help Zhorik to determine what is the maximum number of files could be in the archive, if the Zhorik's assumption is correct. | The first line contains two integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of blocks in the first and in the second messages.
The second line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n* (1<=≤<=*x**i*<=≤<=106) — the length of the blocks that form the first message.
The third line contains *m* integers *y*1,<=*y*2,<=...,<=*y**m* (1<=≤<=*y**i*<=≤<=106) — the length of the blocks that form the second message.
It is guaranteed that *x*1<=+<=...<=+<=*x**n*<==<=*y*1<=+<=...<=+<=*y**m*. Also, it is guaranteed that *x*1<=+<=...<=+<=*x**n*<=≤<=106. | Print the maximum number of files the intercepted array could consist of. | [
"7 6\n2 5 3 1 11 4 4\n7 8 2 4 1 8\n",
"3 3\n1 10 100\n1 100 10\n",
"1 4\n4\n1 1 1 1\n"
] | [
"3\n",
"2\n",
"1\n"
] | In the first example the maximum number of files in the archive is 3. For example, it is possible that in the archive are three files of sizes 2 + 5 = 7, 15 = 3 + 1 + 11 = 8 + 2 + 4 + 1 and 4 + 4 = 8.
In the second example it is possible that the archive contains two files of sizes 1 and 110 = 10 + 100 = 100 + 10. Note that the order of files is kept while transferring archives through the network, so we can't say that there are three files of sizes 1, 10 and 100.
In the third example the only possibility is that the archive contains a single file of size 4. | 1,000 | [
{
"input": "7 6\n2 5 3 1 11 4 4\n7 8 2 4 1 8",
"output": "3"
},
{
"input": "3 3\n1 10 100\n1 100 10",
"output": "2"
},
{
"input": "1 4\n4\n1 1 1 1",
"output": "1"
},
{
"input": "1 1\n1000000\n1000000",
"output": "1"
},
{
"input": "3 5\n2 2 9\n2 1 4 2 4",
"outp... | 1,537,371,204 | 3,504 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 8 | 1,000 | 2,560,000 | s = list(map(int, input().split()))
n = s[0]
m = s[1]
x = list(map(int, input().split()))
y = list(map(int, input().split()))
i = x.pop(0)
j = y.pop(0)
counter = 0
while True:
if i==j:
counter+=1
if len(y)==0 or len(x)==0:
break
i = x.pop(0)
j = y.pop(0)
elif i>j:
if len(y)==0:
break
j +=y.pop(0)
elif i<j:
if len(x)==0:
break
i +=x.pop(0)
print(counter)
| Title: Intercepted Message
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Hacker Zhorik wants to decipher two secret messages he intercepted yesterday. Yeah message is a sequence of encrypted blocks, each of them consists of several bytes of information.
Zhorik knows that each of the messages is an archive containing one or more files. Zhorik knows how each of these archives was transferred through the network: if an archive consists of *k* files of sizes *l*1,<=*l*2,<=...,<=*l**k* bytes, then the *i*-th file is split to one or more blocks *b**i*,<=1,<=*b**i*,<=2,<=...,<=*b**i*,<=*m**i* (here the total length of the blocks *b**i*,<=1<=+<=*b**i*,<=2<=+<=...<=+<=*b**i*,<=*m**i* is equal to the length of the file *l**i*), and after that all blocks are transferred through the network, maintaining the order of files in the archive.
Zhorik thinks that the two messages contain the same archive, because their total lengths are equal. However, each file can be split in blocks in different ways in the two messages.
You are given the lengths of blocks in each of the two messages. Help Zhorik to determine what is the maximum number of files could be in the archive, if the Zhorik's assumption is correct.
Input Specification:
The first line contains two integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of blocks in the first and in the second messages.
The second line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n* (1<=≤<=*x**i*<=≤<=106) — the length of the blocks that form the first message.
The third line contains *m* integers *y*1,<=*y*2,<=...,<=*y**m* (1<=≤<=*y**i*<=≤<=106) — the length of the blocks that form the second message.
It is guaranteed that *x*1<=+<=...<=+<=*x**n*<==<=*y*1<=+<=...<=+<=*y**m*. Also, it is guaranteed that *x*1<=+<=...<=+<=*x**n*<=≤<=106.
Output Specification:
Print the maximum number of files the intercepted array could consist of.
Demo Input:
['7 6\n2 5 3 1 11 4 4\n7 8 2 4 1 8\n', '3 3\n1 10 100\n1 100 10\n', '1 4\n4\n1 1 1 1\n']
Demo Output:
['3\n', '2\n', '1\n']
Note:
In the first example the maximum number of files in the archive is 3. For example, it is possible that in the archive are three files of sizes 2 + 5 = 7, 15 = 3 + 1 + 11 = 8 + 2 + 4 + 1 and 4 + 4 = 8.
In the second example it is possible that the archive contains two files of sizes 1 and 110 = 10 + 100 = 100 + 10. Note that the order of files is kept while transferring archives through the network, so we can't say that there are three files of sizes 1, 10 and 100.
In the third example the only possibility is that the archive contains a single file of size 4. | ```python
s = list(map(int, input().split()))
n = s[0]
m = s[1]
x = list(map(int, input().split()))
y = list(map(int, input().split()))
i = x.pop(0)
j = y.pop(0)
counter = 0
while True:
if i==j:
counter+=1
if len(y)==0 or len(x)==0:
break
i = x.pop(0)
j = y.pop(0)
elif i>j:
if len(y)==0:
break
j +=y.pop(0)
elif i<j:
if len(x)==0:
break
i +=x.pop(0)
print(counter)
``` | 0 | |
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"
},
{
... | 1,494,202,548 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 50 | 62 | 0 | n,r,o=int(input()),0,0
c,d=map(int,input().split())
for i in range(n-1):
a,b=map(int,input().split())
if b!=a:r=1
if a>c:o=1
c,d=a,b
print('rated'if r else 'unrated' if o else 'maybe') | 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
n,r,o=int(input()),0,0
c,d=map(int,input().split())
for i in range(n-1):
a,b=map(int,input().split())
if b!=a:r=1
if a>c:o=1
c,d=a,b
print('rated'if r else 'unrated' if o else 'maybe')
``` | 0 | |
2 | A | Winner | PROGRAMMING | 1,500 | [
"hashing",
"implementation"
] | A. Winner | 1 | 64 | The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to *m*) at the end of the game, than wins the one of them who scored at least *m* points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. | The first line contains an integer number *n* (1<=<=≤<=<=*n*<=<=≤<=<=1000), *n* is the number of rounds played. Then follow *n* lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. | Print the name of the winner. | [
"3\nmike 3\nandrew 5\nmike 2\n",
"3\nandrew 3\nandrew 2\nmike 5\n"
] | [
"andrew\n",
"andrew\n"
] | none | 0 | [
{
"input": "3\nmike 3\nandrew 5\nmike 2",
"output": "andrew"
},
{
"input": "3\nandrew 3\nandrew 2\nmike 5",
"output": "andrew"
},
{
"input": "5\nkaxqybeultn -352\nmgochgrmeyieyskhuourfg -910\nkaxqybeultn 691\nmgochgrmeyieyskhuourfg -76\nkaxqybeultn -303",
"output": "kaxqybeultn"
},... | 1,586,293,890 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 216 | 307,200 |
#definim clasa RoundTotals care o sa tina minte numele si punctajul catigatorului unei runde
class RoundTotals:
def __init__(self, name, points):
self.name = name
self.points = points
#aceasta functie ne ajuta sa citim corect datele de la stdin
def value(inputValue):
try:
#incearca sa transforma nr in integer, daca nu poate arunca o exceptie
return int(inputValue)
except ValueError:
#returneaza stringul
return inputValue
#citim datele de la stdin
def getInput():
#numarul de runde
rounds = int(input())
#o lista care va contine toate datele din std in sub forma de obiect ex: [{name:'mike',points:3},..]
totals = []
#citim atatea linii de la stdin cate rounds a avut joaca
while rounds:
#decrimentam rounds
rounds -= 1
#functia map primeste 2 agumente, primul: o functie prin care trec toate elementele; al doilea: elementele
#str(input()) - transforma input-ul in string
#.split() ia fiecare "cuvant" adica string separat de spatiu si il pune intr-o lista, unde fiecare "cuvant" este un element al listei
name, points = map(value, str(input()).split())
#adaugam in totals un element cu noul nume si points citite din input
totals.append(RoundTotals(name, points))
#returnam lista totals
return totals
# primeste datele la 2 jucatori si retrueaza pe cel care are cele mai multe puncte
def searchWinner(player1, player2):
if player1.points > player2.points:
return player1
else:
return player2
#returneaza castigatorul definitiv
def returnWinner():
#definim lista totals care primeste toate datele din input sub forma de array de obiecte
totals = getInput()
#initializam i cu 0 pentru a parcurge aceasta lista
i = 0
#presupunem ca primul castigator introdus in input e winner
winner = totals[0]
#parcurgem lista totals
while i < len(totals)-1:
#daca doi castigatori la rand nu au acelasi nume
if totals[i].name != totals[i+1].name:
#cautam winner dintre ei doi
winner = searchWinner(winner, totals[i+1])
else: #daca au acelasi nume adunam punctele lor si stergem din lista jucatorul care se repeta
totals[i].points += totals[i+1].points
totals.remove(totals[i+1])
#inclimentam i
i += 1
#returnam numele castigatroului
return winner.name
#printam numele castigatorului
print(returnWinner())
| Title: Winner
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to *m*) at the end of the game, than wins the one of them who scored at least *m* points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points.
Input Specification:
The first line contains an integer number *n* (1<=<=≤<=<=*n*<=<=≤<=<=1000), *n* is the number of rounds played. Then follow *n* lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive.
Output Specification:
Print the name of the winner.
Demo Input:
['3\nmike 3\nandrew 5\nmike 2\n', '3\nandrew 3\nandrew 2\nmike 5\n']
Demo Output:
['andrew\n', 'andrew\n']
Note:
none | ```python
#definim clasa RoundTotals care o sa tina minte numele si punctajul catigatorului unei runde
class RoundTotals:
def __init__(self, name, points):
self.name = name
self.points = points
#aceasta functie ne ajuta sa citim corect datele de la stdin
def value(inputValue):
try:
#incearca sa transforma nr in integer, daca nu poate arunca o exceptie
return int(inputValue)
except ValueError:
#returneaza stringul
return inputValue
#citim datele de la stdin
def getInput():
#numarul de runde
rounds = int(input())
#o lista care va contine toate datele din std in sub forma de obiect ex: [{name:'mike',points:3},..]
totals = []
#citim atatea linii de la stdin cate rounds a avut joaca
while rounds:
#decrimentam rounds
rounds -= 1
#functia map primeste 2 agumente, primul: o functie prin care trec toate elementele; al doilea: elementele
#str(input()) - transforma input-ul in string
#.split() ia fiecare "cuvant" adica string separat de spatiu si il pune intr-o lista, unde fiecare "cuvant" este un element al listei
name, points = map(value, str(input()).split())
#adaugam in totals un element cu noul nume si points citite din input
totals.append(RoundTotals(name, points))
#returnam lista totals
return totals
# primeste datele la 2 jucatori si retrueaza pe cel care are cele mai multe puncte
def searchWinner(player1, player2):
if player1.points > player2.points:
return player1
else:
return player2
#returneaza castigatorul definitiv
def returnWinner():
#definim lista totals care primeste toate datele din input sub forma de array de obiecte
totals = getInput()
#initializam i cu 0 pentru a parcurge aceasta lista
i = 0
#presupunem ca primul castigator introdus in input e winner
winner = totals[0]
#parcurgem lista totals
while i < len(totals)-1:
#daca doi castigatori la rand nu au acelasi nume
if totals[i].name != totals[i+1].name:
#cautam winner dintre ei doi
winner = searchWinner(winner, totals[i+1])
else: #daca au acelasi nume adunam punctele lor si stergem din lista jucatorul care se repeta
totals[i].points += totals[i+1].points
totals.remove(totals[i+1])
#inclimentam i
i += 1
#returnam numele castigatroului
return winner.name
#printam numele castigatorului
print(returnWinner())
``` | 0 |
479 | C | Exams | PROGRAMMING | 1,400 | [
"greedy",
"sortings"
] | null | null | Student Valera is an undergraduate student at the University. His end of term exams are approaching and he is to pass exactly *n* exams. Valera is a smart guy, so he will be able to pass any exam he takes on his first try. Besides, he can take several exams on one day, and in any order.
According to the schedule, a student can take the exam for the *i*-th subject on the day number *a**i*. However, Valera has made an arrangement with each teacher and the teacher of the *i*-th subject allowed him to take an exam before the schedule time on day *b**i* (*b**i*<=<<=*a**i*). Thus, Valera can take an exam for the *i*-th subject either on day *a**i*, or on day *b**i*. All the teachers put the record of the exam in the student's record book on the day of the actual exam and write down the date of the mark as number *a**i*.
Valera believes that it would be rather strange if the entries in the record book did not go in the order of non-decreasing date. Therefore Valera asks you to help him. Find the minimum possible value of the day when Valera can take the final exam if he takes exams so that all the records in his record book go in the order of non-decreasing date. | The first line contains a single positive integer *n* (1<=≤<=*n*<=≤<=5000) — the number of exams Valera will take.
Each of the next *n* lines contains two positive space-separated integers *a**i* and *b**i* (1<=≤<=*b**i*<=<<=*a**i*<=≤<=109) — the date of the exam in the schedule and the early date of passing the *i*-th exam, correspondingly. | Print a single integer — the minimum possible number of the day when Valera can take the last exam if he takes all the exams so that all the records in his record book go in the order of non-decreasing date. | [
"3\n5 2\n3 1\n4 2\n",
"3\n6 1\n5 2\n4 3\n"
] | [
"2\n",
"6\n"
] | In the first sample Valera first takes an exam in the second subject on the first day (the teacher writes down the schedule date that is 3). On the next day he takes an exam in the third subject (the teacher writes down the schedule date, 4), then he takes an exam in the first subject (the teacher writes down the mark with date 5). Thus, Valera takes the last exam on the second day and the dates will go in the non-decreasing order: 3, 4, 5.
In the second sample Valera first takes an exam in the third subject on the fourth day. Then he takes an exam in the second subject on the fifth day. After that on the sixth day Valera takes an exam in the first subject. | 1,500 | [
{
"input": "3\n5 2\n3 1\n4 2",
"output": "2"
},
{
"input": "3\n6 1\n5 2\n4 3",
"output": "6"
},
{
"input": "1\n1000000000 999999999",
"output": "999999999"
},
{
"input": "1\n2 1",
"output": "1"
},
{
"input": "2\n3 2\n3 2",
"output": "2"
},
{
"input": "... | 1,697,619,806 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 4 | 46 | 716,800 | import sys
n = int(sys.stdin.readline())
t = []
for i in range(n):
t.append(list(map(int,sys.stdin.readline().split())))
if i ==0:
asd = t[0]
if t[i][0] >asd[0] and t[i][1] >asd[1]:
asd = t[i]
if i ==n-1:
memory = t[n-1]
if memory[1]>asd[1]:
print(asd[0])
else:
print(asd[1])
| Title: Exams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Student Valera is an undergraduate student at the University. His end of term exams are approaching and he is to pass exactly *n* exams. Valera is a smart guy, so he will be able to pass any exam he takes on his first try. Besides, he can take several exams on one day, and in any order.
According to the schedule, a student can take the exam for the *i*-th subject on the day number *a**i*. However, Valera has made an arrangement with each teacher and the teacher of the *i*-th subject allowed him to take an exam before the schedule time on day *b**i* (*b**i*<=<<=*a**i*). Thus, Valera can take an exam for the *i*-th subject either on day *a**i*, or on day *b**i*. All the teachers put the record of the exam in the student's record book on the day of the actual exam and write down the date of the mark as number *a**i*.
Valera believes that it would be rather strange if the entries in the record book did not go in the order of non-decreasing date. Therefore Valera asks you to help him. Find the minimum possible value of the day when Valera can take the final exam if he takes exams so that all the records in his record book go in the order of non-decreasing date.
Input Specification:
The first line contains a single positive integer *n* (1<=≤<=*n*<=≤<=5000) — the number of exams Valera will take.
Each of the next *n* lines contains two positive space-separated integers *a**i* and *b**i* (1<=≤<=*b**i*<=<<=*a**i*<=≤<=109) — the date of the exam in the schedule and the early date of passing the *i*-th exam, correspondingly.
Output Specification:
Print a single integer — the minimum possible number of the day when Valera can take the last exam if he takes all the exams so that all the records in his record book go in the order of non-decreasing date.
Demo Input:
['3\n5 2\n3 1\n4 2\n', '3\n6 1\n5 2\n4 3\n']
Demo Output:
['2\n', '6\n']
Note:
In the first sample Valera first takes an exam in the second subject on the first day (the teacher writes down the schedule date that is 3). On the next day he takes an exam in the third subject (the teacher writes down the schedule date, 4), then he takes an exam in the first subject (the teacher writes down the mark with date 5). Thus, Valera takes the last exam on the second day and the dates will go in the non-decreasing order: 3, 4, 5.
In the second sample Valera first takes an exam in the third subject on the fourth day. Then he takes an exam in the second subject on the fifth day. After that on the sixth day Valera takes an exam in the first subject. | ```python
import sys
n = int(sys.stdin.readline())
t = []
for i in range(n):
t.append(list(map(int,sys.stdin.readline().split())))
if i ==0:
asd = t[0]
if t[i][0] >asd[0] and t[i][1] >asd[1]:
asd = t[i]
if i ==n-1:
memory = t[n-1]
if memory[1]>asd[1]:
print(asd[0])
else:
print(asd[1])
``` | 0 | |
50 | A | Domino piling | PROGRAMMING | 800 | [
"greedy",
"math"
] | A. Domino piling | 2 | 256 | You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions. | In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16). | Output one number — the maximal number of dominoes, which can be placed. | [
"2 4\n",
"3 3\n"
] | [
"4\n",
"4\n"
] | none | 500 | [
{
"input": "2 4",
"output": "4"
},
{
"input": "3 3",
"output": "4"
},
{
"input": "1 5",
"output": "2"
},
{
"input": "1 6",
"output": "3"
},
{
"input": "1 15",
"output": "7"
},
{
"input": "1 16",
"output": "8"
},
{
"input": "2 5",
"outpu... | 1,661,642,803 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 60 | 0 | number1 = int(input())
number2 = int(input())
if(number1*number2 != 1):
if (number1 >= 1 and number2 >= number1 and number2 <= 16):
print(int(((number1*number2) - ((number1-2) * (number2-2)))/2)) | Title: Domino piling
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions.
Input Specification:
In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16).
Output Specification:
Output one number — the maximal number of dominoes, which can be placed.
Demo Input:
['2 4\n', '3 3\n']
Demo Output:
['4\n', '4\n']
Note:
none | ```python
number1 = int(input())
number2 = int(input())
if(number1*number2 != 1):
if (number1 >= 1 and number2 >= number1 and number2 <= 16):
print(int(((number1*number2) - ((number1-2) * (number2-2)))/2))
``` | -1 |
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... | 1,618,919,497 | 2,147,483,647 | Python 3 | OK | TESTS | 16 | 62 | 0 | n, t = map(int, input().split())
daftar_waktu_kerja = list(map(int, input().split()))
hari = 1
for waktu_kerja in daftar_waktu_kerja:
waktu_kosong = 86400 - waktu_kerja
t -= waktu_kosong
if t <= 0:
print(hari)
break
hari += 1
| 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
n, t = map(int, input().split())
daftar_waktu_kerja = list(map(int, input().split()))
hari = 1
for waktu_kerja in daftar_waktu_kerja:
waktu_kosong = 86400 - waktu_kerja
t -= waktu_kosong
if t <= 0:
print(hari)
break
hari += 1
``` | 3 | |
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... | 1,686,143,995 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 1 | 62 | 0 | n = int(input())
print(n)
a = ['C' if i % 2 == 0 else '.' for i in range(n)]
def swap(a):
for i in range(n):
if a[i] == '.':
a[i] = 'C'
else:
a[i] = '.'
return a
for i in range(n):
print(*a, sep='')
a = swap(a)
| 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())
print(n)
a = ['C' if i % 2 == 0 else '.' for i in range(n)]
def swap(a):
for i in range(n):
if a[i] == '.':
a[i] = 'C'
else:
a[i] = '.'
return a
for i in range(n):
print(*a, sep='')
a = swap(a)
``` | 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... | 1,377,950,983 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 218 | 5,120,000 | import sys
import math
import fractions
#f = sys.stdin
f = open("input.txt", "r")
line_ = map(int, f.readline().split())
line = []
for it in line_:
line.append(it)
x = int(line[0])
y = int(line[1])
a = int(line[2])
b = int(line[3])
xy = x * y / fractions.gcd(x, y)
ans = b // xy - (a - 1) // xy
print( int(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
import sys
import math
import fractions
#f = sys.stdin
f = open("input.txt", "r")
line_ = map(int, f.readline().split())
line = []
for it in line_:
line.append(it)
x = int(line[0])
y = int(line[1])
a = int(line[2])
b = int(line[3])
xy = x * y / fractions.gcd(x, y)
ans = b // xy - (a - 1) // xy
print( int(ans) )
``` | -1 | |
1,004 | A | Sonya and Hotels | PROGRAMMING | 900 | [
"implementation"
] | null | null | Sonya decided that having her own hotel business is the best way of earning money because she can profit and rest wherever she wants.
The country where Sonya lives is an endless line. There is a city in each integer coordinate on this line. She has $n$ hotels, where the $i$-th hotel is located in the city with coordinate $x_i$. Sonya is a smart girl, so she does not open two or more hotels in the same city.
Sonya understands that her business needs to be expanded by opening new hotels, so she decides to build one more. She wants to make the minimum distance from this hotel to all others to be equal to $d$. The girl understands that there are many possible locations to construct such a hotel. Thus she wants to know the number of possible coordinates of the cities where she can build a new hotel.
Because Sonya is lounging in a jacuzzi in one of her hotels, she is asking you to find the number of cities where she can build a new hotel so that the minimum distance from the original $n$ hotels to the new one is equal to $d$. | The first line contains two integers $n$ and $d$ ($1\leq n\leq 100$, $1\leq d\leq 10^9$) — the number of Sonya's hotels and the needed minimum distance from a new hotel to all others.
The second line contains $n$ different integers in strictly increasing order $x_1, x_2, \ldots, x_n$ ($-10^9\leq x_i\leq 10^9$) — coordinates of Sonya's hotels. | Print the number of cities where Sonya can build a new hotel so that the minimum distance from this hotel to all others is equal to $d$. | [
"4 3\n-3 2 9 16\n",
"5 2\n4 8 11 18 19\n"
] | [
"6\n",
"5\n"
] | In the first example, there are $6$ possible cities where Sonya can build a hotel. These cities have coordinates $-6$, $5$, $6$, $12$, $13$, and $19$.
In the second example, there are $5$ possible cities where Sonya can build a hotel. These cities have coordinates $2$, $6$, $13$, $16$, and $21$. | 500 | [
{
"input": "4 3\n-3 2 9 16",
"output": "6"
},
{
"input": "5 2\n4 8 11 18 19",
"output": "5"
},
{
"input": "10 10\n-67 -59 -49 -38 -8 20 41 59 74 83",
"output": "8"
},
{
"input": "10 10\n0 20 48 58 81 95 111 137 147 159",
"output": "9"
},
{
"input": "100 1\n0 1 2 3... | 1,617,882,061 | 2,147,483,647 | PyPy 3 | OK | TESTS | 45 | 109 | 0 | n, d = map(int, input().split())
li = list(map(int, input().split()))
c = 2
for i in range(1, n):
if (li[i] - li[i-1]) == 2*d:
c = c + 1
if (li[i] - li[i-1]) > 2*d:
c = c + 2
print(c) | Title: Sonya and Hotels
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sonya decided that having her own hotel business is the best way of earning money because she can profit and rest wherever she wants.
The country where Sonya lives is an endless line. There is a city in each integer coordinate on this line. She has $n$ hotels, where the $i$-th hotel is located in the city with coordinate $x_i$. Sonya is a smart girl, so she does not open two or more hotels in the same city.
Sonya understands that her business needs to be expanded by opening new hotels, so she decides to build one more. She wants to make the minimum distance from this hotel to all others to be equal to $d$. The girl understands that there are many possible locations to construct such a hotel. Thus she wants to know the number of possible coordinates of the cities where she can build a new hotel.
Because Sonya is lounging in a jacuzzi in one of her hotels, she is asking you to find the number of cities where she can build a new hotel so that the minimum distance from the original $n$ hotels to the new one is equal to $d$.
Input Specification:
The first line contains two integers $n$ and $d$ ($1\leq n\leq 100$, $1\leq d\leq 10^9$) — the number of Sonya's hotels and the needed minimum distance from a new hotel to all others.
The second line contains $n$ different integers in strictly increasing order $x_1, x_2, \ldots, x_n$ ($-10^9\leq x_i\leq 10^9$) — coordinates of Sonya's hotels.
Output Specification:
Print the number of cities where Sonya can build a new hotel so that the minimum distance from this hotel to all others is equal to $d$.
Demo Input:
['4 3\n-3 2 9 16\n', '5 2\n4 8 11 18 19\n']
Demo Output:
['6\n', '5\n']
Note:
In the first example, there are $6$ possible cities where Sonya can build a hotel. These cities have coordinates $-6$, $5$, $6$, $12$, $13$, and $19$.
In the second example, there are $5$ possible cities where Sonya can build a hotel. These cities have coordinates $2$, $6$, $13$, $16$, and $21$. | ```python
n, d = map(int, input().split())
li = list(map(int, input().split()))
c = 2
for i in range(1, n):
if (li[i] - li[i-1]) == 2*d:
c = c + 1
if (li[i] - li[i-1]) > 2*d:
c = c + 2
print(c)
``` | 3 | |
214 | A | System of Equations | PROGRAMMING | 800 | [
"brute force"
] | null | null | Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are given a system of equations:
You should count, how many there are pairs of integers (*a*,<=*b*) (0<=≤<=*a*,<=*b*) which satisfy the system. | A single line contains two integers *n*,<=*m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the parameters of the system. The numbers on the line are separated by a space. | On a single line print the answer to the problem. | [
"9 3\n",
"14 28\n",
"4 20\n"
] | [
"1\n",
"1\n",
"0\n"
] | In the first sample the suitable pair is integers (3, 0). In the second sample the suitable pair is integers (3, 5). In the third sample there is no suitable pair. | 500 | [
{
"input": "9 3",
"output": "1"
},
{
"input": "14 28",
"output": "1"
},
{
"input": "4 20",
"output": "0"
},
{
"input": "18 198",
"output": "1"
},
{
"input": "22 326",
"output": "1"
},
{
"input": "26 104",
"output": "1"
},
{
"input": "14 10"... | 1,624,389,835 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 3 | 154 | 0 | from math import sqrt,floor
n,m =map(int,input().split())
a=floor(sqrt(n))
b=n-(a*a)
if a!=(m-(b*b)):
print(0)
else:
print(1) | Title: System of Equations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are given a system of equations:
You should count, how many there are pairs of integers (*a*,<=*b*) (0<=≤<=*a*,<=*b*) which satisfy the system.
Input Specification:
A single line contains two integers *n*,<=*m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the parameters of the system. The numbers on the line are separated by a space.
Output Specification:
On a single line print the answer to the problem.
Demo Input:
['9 3\n', '14 28\n', '4 20\n']
Demo Output:
['1\n', '1\n', '0\n']
Note:
In the first sample the suitable pair is integers (3, 0). In the second sample the suitable pair is integers (3, 5). In the third sample there is no suitable pair. | ```python
from math import sqrt,floor
n,m =map(int,input().split())
a=floor(sqrt(n))
b=n-(a*a)
if a!=(m-(b*b)):
print(0)
else:
print(1)
``` | 0 | |
527 | D | Clique Problem | PROGRAMMING | 1,800 | [
"data structures",
"dp",
"greedy",
"implementation",
"sortings"
] | null | null | The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph *G*. It is required to find a subset of vertices *C* of the maximum size such that any two of them are connected by an edge in graph *G*. Sounds simple, doesn't it? Nobody yet knows an algorithm that finds a solution to this problem in polynomial time of the size of the graph. However, as with many other NP-complete problems, the clique problem is easier if you consider a specific type of a graph.
Consider *n* distinct points on a line. Let the *i*-th point have the coordinate *x**i* and weight *w**i*. Let's form graph *G*, whose vertices are these points and edges connect exactly the pairs of points (*i*,<=*j*), such that the distance between them is not less than the sum of their weights, or more formally: |*x**i*<=-<=*x**j*|<=≥<=*w**i*<=+<=*w**j*.
Find the size of the maximum clique in such graph. | The first line contains the integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of points.
Each of the next *n* lines contains two numbers *x**i*, *w**i* (0<=≤<=*x**i*<=≤<=109,<=1<=≤<=*w**i*<=≤<=109) — the coordinate and the weight of a point. All *x**i* are different. | Print a single number — the number of vertexes in the maximum clique of the given graph. | [
"4\n2 3\n3 1\n6 1\n0 2\n"
] | [
"3\n"
] | If you happen to know how to solve this problem without using the specific properties of the graph formulated in the problem statement, then you are able to get a prize of one million dollars!
The picture for the sample test. | 2,000 | [
{
"input": "4\n2 3\n3 1\n6 1\n0 2",
"output": "3"
},
{
"input": "1\n42 23",
"output": "1"
},
{
"input": "2\n1 5\n2 6",
"output": "1"
},
{
"input": "2\n1 5\n12 6",
"output": "2"
},
{
"input": "1\n0 1",
"output": "1"
},
{
"input": "1\n1000000000 10000000... | 1,427,322,059 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | n = int(input())
X = []
W = {}
big = -1
for _ in range(n):
x,w = list(map(int,input().split()))
X.append(x)
W[x] = w
big = max(big,x)
dp = {}
X=sorted(X)
for i,xi in enumerate(X):
m = 1
for j in range(i - 1,-1,-1):
xj=X[j]
if xi - xj >= W[xi] + W[xj]:
m = max(m,1 + dp[xj])
dp[xi] = m
print(max(dp))
| Title: Clique Problem
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph *G*. It is required to find a subset of vertices *C* of the maximum size such that any two of them are connected by an edge in graph *G*. Sounds simple, doesn't it? Nobody yet knows an algorithm that finds a solution to this problem in polynomial time of the size of the graph. However, as with many other NP-complete problems, the clique problem is easier if you consider a specific type of a graph.
Consider *n* distinct points on a line. Let the *i*-th point have the coordinate *x**i* and weight *w**i*. Let's form graph *G*, whose vertices are these points and edges connect exactly the pairs of points (*i*,<=*j*), such that the distance between them is not less than the sum of their weights, or more formally: |*x**i*<=-<=*x**j*|<=≥<=*w**i*<=+<=*w**j*.
Find the size of the maximum clique in such graph.
Input Specification:
The first line contains the integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of points.
Each of the next *n* lines contains two numbers *x**i*, *w**i* (0<=≤<=*x**i*<=≤<=109,<=1<=≤<=*w**i*<=≤<=109) — the coordinate and the weight of a point. All *x**i* are different.
Output Specification:
Print a single number — the number of vertexes in the maximum clique of the given graph.
Demo Input:
['4\n2 3\n3 1\n6 1\n0 2\n']
Demo Output:
['3\n']
Note:
If you happen to know how to solve this problem without using the specific properties of the graph formulated in the problem statement, then you are able to get a prize of one million dollars!
The picture for the sample test. | ```python
n = int(input())
X = []
W = {}
big = -1
for _ in range(n):
x,w = list(map(int,input().split()))
X.append(x)
W[x] = w
big = max(big,x)
dp = {}
X=sorted(X)
for i,xi in enumerate(X):
m = 1
for j in range(i - 1,-1,-1):
xj=X[j]
if xi - xj >= W[xi] + W[xj]:
m = max(m,1 + dp[xj])
dp[xi] = m
print(max(dp))
``` | 0 | |
703 | B | Mishka and trip | PROGRAMMING | 1,400 | [
"implementation",
"math"
] | null | null | Little Mishka is a great traveller and she visited many countries. After thinking about where to travel this time, she chose XXX — beautiful, but little-known northern country.
Here are some interesting facts about XXX:
1. XXX consists of *n* cities, *k* of whose (just imagine!) are capital cities. 1. All of cities in the country are beautiful, but each is beautiful in its own way. Beauty value of *i*-th city equals to *c**i*. 1. All the cities are consecutively connected by the roads, including 1-st and *n*-th city, forming a cyclic route 1<=—<=2<=—<=...<=—<=*n*<=—<=1. Formally, for every 1<=≤<=*i*<=<<=*n* there is a road between *i*-th and *i*<=+<=1-th city, and another one between 1-st and *n*-th city. 1. Each capital city is connected with each other city directly by the roads. Formally, if city *x* is a capital city, then for every 1<=≤<=*i*<=≤<=*n*,<=<=*i*<=≠<=*x*, there is a road between cities *x* and *i*. 1. There is at most one road between any two cities. 1. Price of passing a road directly depends on beauty values of cities it connects. Thus if there is a road between cities *i* and *j*, price of passing it equals *c**i*·*c**j*.
Mishka started to gather her things for a trip, but didn't still decide which route to follow and thus she asked you to help her determine summary price of passing each of the roads in XXX. Formally, for every pair of cities *a* and *b* (*a*<=<<=*b*), such that there is a road between *a* and *b* you are to find sum of products *c**a*·*c**b*. Will you help her? | The first line of the input contains two integers *n* and *k* (3<=≤<=*n*<=≤<=100<=000,<=1<=≤<=*k*<=≤<=*n*) — the number of cities in XXX and the number of capital cities among them.
The second line of the input contains *n* integers *c*1,<=*c*2,<=...,<=*c**n* (1<=≤<=*c**i*<=≤<=10<=000) — beauty values of the cities.
The third line of the input contains *k* distinct integers *id*1,<=*id*2,<=...,<=*id**k* (1<=≤<=*id**i*<=≤<=*n*) — indices of capital cities. Indices are given in ascending order. | Print the only integer — summary price of passing each of the roads in XXX. | [
"4 1\n2 3 1 2\n3\n",
"5 2\n3 5 2 2 4\n1 4\n"
] | [
"17",
"71"
] | This image describes first sample case:
<img class="tex-graphics" src="https://espresso.codeforces.com/9dcb0e62694349977e064303a74efd880af5eb03.png" style="max-width: 100.0%;max-height: 100.0%;"/>
It is easy to see that summary price is equal to 17.
This image describes second sample case:
<img class="tex-graphics" src="https://espresso.codeforces.com/c30146637f3647c2fc77818bbbf3c080f94f116e.png" style="max-width: 100.0%;max-height: 100.0%;"/>
It is easy to see that summary price is equal to 71. | 1,000 | [
{
"input": "4 1\n2 3 1 2\n3",
"output": "17"
},
{
"input": "5 2\n3 5 2 2 4\n1 4",
"output": "71"
},
{
"input": "3 1\n1 1 1\n1",
"output": "3"
},
{
"input": "3 3\n1 1 1\n1 2 3",
"output": "3"
},
{
"input": "7 7\n6 9 2 7 4 8 7\n1 2 3 4 5 6 7",
"output": "775"
... | 1,689,630,551 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | print("_RANDOM_GUESS_1689630551.6644855")# 1689630551.664505 | Title: Mishka and trip
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Mishka is a great traveller and she visited many countries. After thinking about where to travel this time, she chose XXX — beautiful, but little-known northern country.
Here are some interesting facts about XXX:
1. XXX consists of *n* cities, *k* of whose (just imagine!) are capital cities. 1. All of cities in the country are beautiful, but each is beautiful in its own way. Beauty value of *i*-th city equals to *c**i*. 1. All the cities are consecutively connected by the roads, including 1-st and *n*-th city, forming a cyclic route 1<=—<=2<=—<=...<=—<=*n*<=—<=1. Formally, for every 1<=≤<=*i*<=<<=*n* there is a road between *i*-th and *i*<=+<=1-th city, and another one between 1-st and *n*-th city. 1. Each capital city is connected with each other city directly by the roads. Formally, if city *x* is a capital city, then for every 1<=≤<=*i*<=≤<=*n*,<=<=*i*<=≠<=*x*, there is a road between cities *x* and *i*. 1. There is at most one road between any two cities. 1. Price of passing a road directly depends on beauty values of cities it connects. Thus if there is a road between cities *i* and *j*, price of passing it equals *c**i*·*c**j*.
Mishka started to gather her things for a trip, but didn't still decide which route to follow and thus she asked you to help her determine summary price of passing each of the roads in XXX. Formally, for every pair of cities *a* and *b* (*a*<=<<=*b*), such that there is a road between *a* and *b* you are to find sum of products *c**a*·*c**b*. Will you help her?
Input Specification:
The first line of the input contains two integers *n* and *k* (3<=≤<=*n*<=≤<=100<=000,<=1<=≤<=*k*<=≤<=*n*) — the number of cities in XXX and the number of capital cities among them.
The second line of the input contains *n* integers *c*1,<=*c*2,<=...,<=*c**n* (1<=≤<=*c**i*<=≤<=10<=000) — beauty values of the cities.
The third line of the input contains *k* distinct integers *id*1,<=*id*2,<=...,<=*id**k* (1<=≤<=*id**i*<=≤<=*n*) — indices of capital cities. Indices are given in ascending order.
Output Specification:
Print the only integer — summary price of passing each of the roads in XXX.
Demo Input:
['4 1\n2 3 1 2\n3\n', '5 2\n3 5 2 2 4\n1 4\n']
Demo Output:
['17', '71']
Note:
This image describes first sample case:
<img class="tex-graphics" src="https://espresso.codeforces.com/9dcb0e62694349977e064303a74efd880af5eb03.png" style="max-width: 100.0%;max-height: 100.0%;"/>
It is easy to see that summary price is equal to 17.
This image describes second sample case:
<img class="tex-graphics" src="https://espresso.codeforces.com/c30146637f3647c2fc77818bbbf3c080f94f116e.png" style="max-width: 100.0%;max-height: 100.0%;"/>
It is easy to see that summary price is equal to 71. | ```python
print("_RANDOM_GUESS_1689630551.6644855")# 1689630551.664505
``` | 0 | |
858 | A | k-rounding | PROGRAMMING | 1,100 | [
"brute force",
"math",
"number theory"
] | null | null | For a given positive integer *n* denote its *k*-rounding as the minimum positive integer *x*, such that *x* ends with *k* or more zeros in base 10 and is divisible by *n*.
For example, 4-rounding of 375 is 375·80<==<=30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.
Write a program that will perform the *k*-rounding of *n*. | The only line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=109, 0<=≤<=*k*<=≤<=8). | Print the *k*-rounding of *n*. | [
"375 4\n",
"10000 1\n",
"38101 0\n",
"123456789 8\n"
] | [
"30000\n",
"10000\n",
"38101\n",
"12345678900000000\n"
] | none | 750 | [
{
"input": "375 4",
"output": "30000"
},
{
"input": "10000 1",
"output": "10000"
},
{
"input": "38101 0",
"output": "38101"
},
{
"input": "123456789 8",
"output": "12345678900000000"
},
{
"input": "1 0",
"output": "1"
},
{
"input": "2 0",
"output":... | 1,643,810,732 | 2,147,483,647 | Python 3 | OK | TESTS | 96 | 46 | 0 | import math
n,k = map(int,input().split())
m =(n * (10**k)) / math.gcd(n, (10**k))
print(int(m)) | Title: k-rounding
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
For a given positive integer *n* denote its *k*-rounding as the minimum positive integer *x*, such that *x* ends with *k* or more zeros in base 10 and is divisible by *n*.
For example, 4-rounding of 375 is 375·80<==<=30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.
Write a program that will perform the *k*-rounding of *n*.
Input Specification:
The only line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=109, 0<=≤<=*k*<=≤<=8).
Output Specification:
Print the *k*-rounding of *n*.
Demo Input:
['375 4\n', '10000 1\n', '38101 0\n', '123456789 8\n']
Demo Output:
['30000\n', '10000\n', '38101\n', '12345678900000000\n']
Note:
none | ```python
import math
n,k = map(int,input().split())
m =(n * (10**k)) / math.gcd(n, (10**k))
print(int(m))
``` | 3 | |
82 | A | Double Cola | PROGRAMMING | 1,100 | [
"implementation",
"math"
] | A. Double Cola | 1 | 256 | Sheldon, Leonard, Penny, Rajesh and Howard are in the queue for a "Double Cola" drink vending machine; there are no other people in the queue. The first one in the queue (Sheldon) buys a can, drinks it and doubles! The resulting two Sheldons go to the end of the queue. Then the next in the queue (Leonard) buys a can, drinks it and gets to the end of the queue as two Leonards, and so on. This process continues ad infinitum.
For example, Penny drinks the third can of cola and the queue will look like this: Rajesh, Howard, Sheldon, Sheldon, Leonard, Leonard, Penny, Penny.
Write a program that will print the name of a man who will drink the *n*-th can.
Note that in the very beginning the queue looks like that: Sheldon, Leonard, Penny, Rajesh, Howard. The first person is Sheldon. | The input data consist of a single integer *n* (1<=≤<=*n*<=≤<=109).
It is guaranteed that the pretests check the spelling of all the five names, that is, that they contain all the five possible answers. | Print the single line — the name of the person who drinks the *n*-th can of cola. The cans are numbered starting from 1. Please note that you should spell the names like this: "Sheldon", "Leonard", "Penny", "Rajesh", "Howard" (without the quotes). In that order precisely the friends are in the queue initially. | [
"1\n",
"6\n",
"1802\n"
] | [
"Sheldon\n",
"Sheldon\n",
"Penny\n"
] | none | 500 | [
{
"input": "1",
"output": "Sheldon"
},
{
"input": "6",
"output": "Sheldon"
},
{
"input": "1802",
"output": "Penny"
},
{
"input": "1",
"output": "Sheldon"
},
{
"input": "2",
"output": "Leonard"
},
{
"input": "3",
"output": "Penny"
},
{
"inpu... | 1,517,010,345 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 1 | 62 | 5,632,000 |
p=["Sheldon", "Leonard", "Penny", "Rajesh", "Howard"]
a=int(input())
i=1
while True:
if a<=(5*i):
print(p[int(a/i)-1])
break
else:
a-=(5*i)
i*=2 | Title: Double Cola
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Sheldon, Leonard, Penny, Rajesh and Howard are in the queue for a "Double Cola" drink vending machine; there are no other people in the queue. The first one in the queue (Sheldon) buys a can, drinks it and doubles! The resulting two Sheldons go to the end of the queue. Then the next in the queue (Leonard) buys a can, drinks it and gets to the end of the queue as two Leonards, and so on. This process continues ad infinitum.
For example, Penny drinks the third can of cola and the queue will look like this: Rajesh, Howard, Sheldon, Sheldon, Leonard, Leonard, Penny, Penny.
Write a program that will print the name of a man who will drink the *n*-th can.
Note that in the very beginning the queue looks like that: Sheldon, Leonard, Penny, Rajesh, Howard. The first person is Sheldon.
Input Specification:
The input data consist of a single integer *n* (1<=≤<=*n*<=≤<=109).
It is guaranteed that the pretests check the spelling of all the five names, that is, that they contain all the five possible answers.
Output Specification:
Print the single line — the name of the person who drinks the *n*-th can of cola. The cans are numbered starting from 1. Please note that you should spell the names like this: "Sheldon", "Leonard", "Penny", "Rajesh", "Howard" (without the quotes). In that order precisely the friends are in the queue initially.
Demo Input:
['1\n', '6\n', '1802\n']
Demo Output:
['Sheldon\n', 'Sheldon\n', 'Penny\n']
Note:
none | ```python
p=["Sheldon", "Leonard", "Penny", "Rajesh", "Howard"]
a=int(input())
i=1
while True:
if a<=(5*i):
print(p[int(a/i)-1])
break
else:
a-=(5*i)
i*=2
``` | 0 |
637 | C | Promocodes with Mistakes | PROGRAMMING | 1,400 | [
"*special",
"brute force",
"constructive algorithms",
"implementation"
] | null | null | During a New Year special offer the "Sudislavl Bars" offered *n* promo codes. Each promo code consists of exactly six digits and gives right to one free cocktail at the bar "Mosquito Shelter". Of course, all the promocodes differ.
As the "Mosquito Shelter" opens only at 9, and partying in Sudislavl usually begins at as early as 6, many problems may arise as to how to type a promotional code without errors. It is necessary to calculate such maximum *k*, that the promotional code could be uniquely identified if it was typed with no more than *k* errors. At that, *k*<==<=0 means that the promotional codes must be entered exactly.
A mistake in this problem should be considered as entering the wrong numbers. For example, value "123465" contains two errors relative to promocode "123456". Regardless of the number of errors the entered value consists of exactly six digits. | The first line of the output contains number *n* (1<=≤<=*n*<=≤<=1000) — the number of promocodes.
Each of the next *n* lines contains a single promocode, consisting of exactly 6 digits. It is guaranteed that all the promocodes are distinct. Promocodes can start from digit "0". | Print the maximum *k* (naturally, not exceeding the length of the promocode), such that any promocode can be uniquely identified if it is typed with at most *k* mistakes. | [
"2\n000000\n999999\n",
"6\n211111\n212111\n222111\n111111\n112111\n121111\n"
] | [
"2\n",
"0\n"
] | In the first sample *k* < 3, so if a bar customer types in value "090909", then it will be impossible to define which promocode exactly corresponds to it. | 1,500 | [
{
"input": "2\n000000\n999999",
"output": "2"
},
{
"input": "6\n211111\n212111\n222111\n111111\n112111\n121111",
"output": "0"
},
{
"input": "1\n123456",
"output": "6"
},
{
"input": "2\n000000\n099999",
"output": "2"
},
{
"input": "2\n000000\n009999",
"output"... | 1,633,765,739 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 1 | 31 | 6,963,200 | n = input()
promo_code = []
def compare_str(a,b):
k = 0
for i in range(6):
if a[i] == b[i]:
k = k+1
return k
for i in range(0,int(n)):
x = input()
promo_code.append(x)
largest_same_num = 0
for i in promo_code:
for j in promo_code:
if i!=j:
a = compare_str(i,j)
if a > largest_same_num:
largest_same_num = a
k = 0
if largest_same_num == 1 or largest_same_num == 0:
k = 2
elif largesr_same_num == 2 or largest_same_num == 3:
k = 1
print(k)
| Title: Promocodes with Mistakes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
During a New Year special offer the "Sudislavl Bars" offered *n* promo codes. Each promo code consists of exactly six digits and gives right to one free cocktail at the bar "Mosquito Shelter". Of course, all the promocodes differ.
As the "Mosquito Shelter" opens only at 9, and partying in Sudislavl usually begins at as early as 6, many problems may arise as to how to type a promotional code without errors. It is necessary to calculate such maximum *k*, that the promotional code could be uniquely identified if it was typed with no more than *k* errors. At that, *k*<==<=0 means that the promotional codes must be entered exactly.
A mistake in this problem should be considered as entering the wrong numbers. For example, value "123465" contains two errors relative to promocode "123456". Regardless of the number of errors the entered value consists of exactly six digits.
Input Specification:
The first line of the output contains number *n* (1<=≤<=*n*<=≤<=1000) — the number of promocodes.
Each of the next *n* lines contains a single promocode, consisting of exactly 6 digits. It is guaranteed that all the promocodes are distinct. Promocodes can start from digit "0".
Output Specification:
Print the maximum *k* (naturally, not exceeding the length of the promocode), such that any promocode can be uniquely identified if it is typed with at most *k* mistakes.
Demo Input:
['2\n000000\n999999\n', '6\n211111\n212111\n222111\n111111\n112111\n121111\n']
Demo Output:
['2\n', '0\n']
Note:
In the first sample *k* < 3, so if a bar customer types in value "090909", then it will be impossible to define which promocode exactly corresponds to it. | ```python
n = input()
promo_code = []
def compare_str(a,b):
k = 0
for i in range(6):
if a[i] == b[i]:
k = k+1
return k
for i in range(0,int(n)):
x = input()
promo_code.append(x)
largest_same_num = 0
for i in promo_code:
for j in promo_code:
if i!=j:
a = compare_str(i,j)
if a > largest_same_num:
largest_same_num = a
k = 0
if largest_same_num == 1 or largest_same_num == 0:
k = 2
elif largesr_same_num == 2 or largest_same_num == 3:
k = 1
print(k)
``` | -1 | |
527 | A | Playing with Paper | PROGRAMMING | 1,100 | [
"implementation",
"math"
] | null | null | One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular *a* mm <=×<= *b* mm sheet of paper (*a*<=><=*b*). Usually the first step in making an origami is making a square piece of paper from the rectangular sheet by folding the sheet along the bisector of the right angle, and cutting the excess part.
After making a paper ship from the square piece, Vasya looked on the remaining (*a*<=-<=*b*) mm <=×<= *b* mm strip of paper. He got the idea to use this strip of paper in the same way to make an origami, and then use the remainder (if it exists) and so on. At the moment when he is left with a square piece of paper, he will make the last ship from it and stop.
Can you determine how many ships Vasya will make during the lesson? | The first line of the input contains two integers *a*, *b* (1<=≤<=*b*<=<<=*a*<=≤<=1012) — the sizes of the original sheet of paper. | Print a single integer — the number of ships that Vasya will make. | [
"2 1\n",
"10 7\n",
"1000000000000 1\n"
] | [
"2\n",
"6\n",
"1000000000000\n"
] | Pictures to the first and second sample test. | 500 | [
{
"input": "2 1",
"output": "2"
},
{
"input": "10 7",
"output": "6"
},
{
"input": "1000000000000 1",
"output": "1000000000000"
},
{
"input": "3 1",
"output": "3"
},
{
"input": "4 1",
"output": "4"
},
{
"input": "3 2",
"output": "3"
},
{
"in... | 1,426,612,566 | 1,866 | Python 3 | CHALLENGED | CHALLENGES | 9 | 61 | 0 | a_b = input().split()
a = int(a_b[0])
b = int(a_b[1])
if a > b:
bolshoe = a
menshee = b
else:
bolshoe = b
menshee = a
vivod = 1
x = 0
i = 0
if bolshoe == menshee:
x = 1
elif a == 1 and b != 1:
vivod = b
x = 1
elif b == 1 and a != 1:
vivod = a
x = 1
while i > -1:
if x == 1:
print(vivod)
break
if bolshoe != menshee:
bolshoe = bolshoe - menshee
vivod += 1
i += 1
else:
i += 1
if bolshoe < menshee:
bolshoe, menshee = menshee, bolshoe
if bolshoe == menshee:
print(vivod)
break | Title: Playing with Paper
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular *a* mm <=×<= *b* mm sheet of paper (*a*<=><=*b*). Usually the first step in making an origami is making a square piece of paper from the rectangular sheet by folding the sheet along the bisector of the right angle, and cutting the excess part.
After making a paper ship from the square piece, Vasya looked on the remaining (*a*<=-<=*b*) mm <=×<= *b* mm strip of paper. He got the idea to use this strip of paper in the same way to make an origami, and then use the remainder (if it exists) and so on. At the moment when he is left with a square piece of paper, he will make the last ship from it and stop.
Can you determine how many ships Vasya will make during the lesson?
Input Specification:
The first line of the input contains two integers *a*, *b* (1<=≤<=*b*<=<<=*a*<=≤<=1012) — the sizes of the original sheet of paper.
Output Specification:
Print a single integer — the number of ships that Vasya will make.
Demo Input:
['2 1\n', '10 7\n', '1000000000000 1\n']
Demo Output:
['2\n', '6\n', '1000000000000\n']
Note:
Pictures to the first and second sample test. | ```python
a_b = input().split()
a = int(a_b[0])
b = int(a_b[1])
if a > b:
bolshoe = a
menshee = b
else:
bolshoe = b
menshee = a
vivod = 1
x = 0
i = 0
if bolshoe == menshee:
x = 1
elif a == 1 and b != 1:
vivod = b
x = 1
elif b == 1 and a != 1:
vivod = a
x = 1
while i > -1:
if x == 1:
print(vivod)
break
if bolshoe != menshee:
bolshoe = bolshoe - menshee
vivod += 1
i += 1
else:
i += 1
if bolshoe < menshee:
bolshoe, menshee = menshee, bolshoe
if bolshoe == menshee:
print(vivod)
break
``` | -1 | |
610 | A | Pasha and Stick | PROGRAMMING | 1,000 | [
"combinatorics",
"math"
] | null | null | Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way. | The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick. | The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square. | [
"6\n",
"20\n"
] | [
"1\n",
"4\n"
] | There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | 500 | [
{
"input": "6",
"output": "1"
},
{
"input": "20",
"output": "4"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "3",
"output": "0"
},
{
"input": "4",
"output": "0"
},
{
"input": "2000000000",
"output": "4... | 1,587,124,617 | 2,147,483,647 | Python 3 | OK | TESTS | 76 | 156 | 0 | n = int(input())
if n % 2 != 0 or n < 6:
print(0)
else:
k = n // 2
if n % 4 == 0:
print(k//2-1)
else:
print(k//2) | Title: Pasha and Stick
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*.
Pasha likes rectangles but hates squares, so he wonders, how many ways are there to split a stick into four parts so that it's possible to form a rectangle using these parts, but is impossible to form a square.
Your task is to help Pasha and count the number of such ways. Two ways to cut the stick are considered distinct if there exists some integer *x*, such that the number of parts of length *x* in the first way differ from the number of parts of length *x* in the second way.
Input Specification:
The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=2·109) — the length of Pasha's stick.
Output Specification:
The output should contain a single integer — the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square.
Demo Input:
['6\n', '20\n']
Demo Output:
['1\n', '4\n']
Note:
There is only one way to divide the stick in the first sample {1, 1, 2, 2}.
Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work. | ```python
n = int(input())
if n % 2 != 0 or n < 6:
print(0)
else:
k = n // 2
if n % 4 == 0:
print(k//2-1)
else:
print(k//2)
``` | 3 | |
492 | B | Vanya and Lanterns | PROGRAMMING | 1,200 | [
"binary search",
"implementation",
"math",
"sortings"
] | null | null | Vanya walks late at night along a straight street of length *l*, lit by *n* lanterns. Consider the coordinate system with the beginning of the street corresponding to the point 0, and its end corresponding to the point *l*. Then the *i*-th lantern is at the point *a**i*. The lantern lights all points of the street that are at the distance of at most *d* from it, where *d* is some positive number, common for all lanterns.
Vanya wonders: what is the minimum light radius *d* should the lanterns have to light the whole street? | The first line contains two integers *n*, *l* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*l*<=≤<=109) — the number of lanterns and the length of the street respectively.
The next line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=*l*). Multiple lanterns can be located at the same point. The lanterns may be located at the ends of the street. | Print the minimum light radius *d*, needed to light the whole street. The answer will be considered correct if its absolute or relative error doesn't exceed 10<=-<=9. | [
"7 15\n15 5 3 7 9 14 0\n",
"2 5\n2 5\n"
] | [
"2.5000000000\n",
"2.0000000000\n"
] | Consider the second sample. At *d* = 2 the first lantern will light the segment [0, 4] of the street, and the second lantern will light segment [3, 5]. Thus, the whole street will be lit. | 1,000 | [
{
"input": "7 15\n15 5 3 7 9 14 0",
"output": "2.5000000000"
},
{
"input": "2 5\n2 5",
"output": "2.0000000000"
},
{
"input": "46 615683844\n431749087 271781274 274974690 324606253 480870261 401650581 13285442 478090364 266585394 425024433 588791449 492057200 391293435 563090494 317950 1... | 1,696,079,367 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | line1 = input().split()
line2 = input().split()
n = int(line1[0])
l = int(line1[1])
lanternList = []
for item in line2:
lanternList.append(int(item))
lanternList.sort()
result = []
if lanternList[0] != 0:
result.append(lanternList[0]*1.000000000)
for i in range(n-1):
result.append(lanternList[i+1]-lanternList[i]*1.000000000)
if lanternList[n-1] != l:
result.append(l-lanternList[n-1]*1.000000000)
final = 000000000
for i in range(1 , len(result)-1):
if result[i]/2 >final:
final = result[i]/2 /2
if result[0]>final:
final = result[0]
elif result[len(result)-1]> final:
final = result[len(result)-1]
print(result)
print(f"{final:.9f}") | Title: Vanya and Lanterns
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vanya walks late at night along a straight street of length *l*, lit by *n* lanterns. Consider the coordinate system with the beginning of the street corresponding to the point 0, and its end corresponding to the point *l*. Then the *i*-th lantern is at the point *a**i*. The lantern lights all points of the street that are at the distance of at most *d* from it, where *d* is some positive number, common for all lanterns.
Vanya wonders: what is the minimum light radius *d* should the lanterns have to light the whole street?
Input Specification:
The first line contains two integers *n*, *l* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*l*<=≤<=109) — the number of lanterns and the length of the street respectively.
The next line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=*l*). Multiple lanterns can be located at the same point. The lanterns may be located at the ends of the street.
Output Specification:
Print the minimum light radius *d*, needed to light the whole street. The answer will be considered correct if its absolute or relative error doesn't exceed 10<=-<=9.
Demo Input:
['7 15\n15 5 3 7 9 14 0\n', '2 5\n2 5\n']
Demo Output:
['2.5000000000\n', '2.0000000000\n']
Note:
Consider the second sample. At *d* = 2 the first lantern will light the segment [0, 4] of the street, and the second lantern will light segment [3, 5]. Thus, the whole street will be lit. | ```python
line1 = input().split()
line2 = input().split()
n = int(line1[0])
l = int(line1[1])
lanternList = []
for item in line2:
lanternList.append(int(item))
lanternList.sort()
result = []
if lanternList[0] != 0:
result.append(lanternList[0]*1.000000000)
for i in range(n-1):
result.append(lanternList[i+1]-lanternList[i]*1.000000000)
if lanternList[n-1] != l:
result.append(l-lanternList[n-1]*1.000000000)
final = 000000000
for i in range(1 , len(result)-1):
if result[i]/2 >final:
final = result[i]/2 /2
if result[0]>final:
final = result[0]
elif result[len(result)-1]> final:
final = result[len(result)-1]
print(result)
print(f"{final:.9f}")
``` | 0 | |
405 | A | Gravity Flip | PROGRAMMING | 900 | [
"greedy",
"implementation",
"sortings"
] | null | null | Little Chris is bored during his physics lessons (too easy), so he has built a toy box to keep himself occupied. The box is special, since it has the ability to change gravity.
There are *n* columns of toy cubes in the box arranged in a line. The *i*-th column contains *a**i* cubes. At first, the gravity in the box is pulling the cubes downwards. When Chris switches the gravity, it begins to pull all the cubes to the right side of the box. The figure shows the initial and final configurations of the cubes in the box: the cubes that have changed their position are highlighted with orange.
Given the initial configuration of the toy cubes in the box, find the amounts of cubes in each of the *n* columns after the gravity switch! | The first line of input contains an integer *n* (1<=≤<=*n*<=≤<=100), the number of the columns in the box. The next line contains *n* space-separated integer numbers. The *i*-th number *a**i* (1<=≤<=*a**i*<=≤<=100) denotes the number of cubes in the *i*-th column. | Output *n* integer numbers separated by spaces, where the *i*-th number is the amount of cubes in the *i*-th column after the gravity switch. | [
"4\n3 2 1 2\n",
"3\n2 3 8\n"
] | [
"1 2 2 3 \n",
"2 3 8 \n"
] | The first example case is shown on the figure. The top cube of the first column falls to the top of the last column; the top cube of the second column falls to the top of the third column; the middle cube of the first column falls to the top of the second column.
In the second example case the gravity switch does not change the heights of the columns. | 500 | [
{
"input": "4\n3 2 1 2",
"output": "1 2 2 3 "
},
{
"input": "3\n2 3 8",
"output": "2 3 8 "
},
{
"input": "5\n2 1 2 1 2",
"output": "1 1 2 2 2 "
},
{
"input": "1\n1",
"output": "1 "
},
{
"input": "2\n4 3",
"output": "3 4 "
},
{
"input": "6\n100 40 60 20... | 1,698,587,387 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | columnsInBox = int(input())
numOfCubes = input().split()
newList = []
for nums in numOfCubes:
newList.append(int(nums))
newList.sort()
print(newList) | Title: Gravity Flip
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Chris is bored during his physics lessons (too easy), so he has built a toy box to keep himself occupied. The box is special, since it has the ability to change gravity.
There are *n* columns of toy cubes in the box arranged in a line. The *i*-th column contains *a**i* cubes. At first, the gravity in the box is pulling the cubes downwards. When Chris switches the gravity, it begins to pull all the cubes to the right side of the box. The figure shows the initial and final configurations of the cubes in the box: the cubes that have changed their position are highlighted with orange.
Given the initial configuration of the toy cubes in the box, find the amounts of cubes in each of the *n* columns after the gravity switch!
Input Specification:
The first line of input contains an integer *n* (1<=≤<=*n*<=≤<=100), the number of the columns in the box. The next line contains *n* space-separated integer numbers. The *i*-th number *a**i* (1<=≤<=*a**i*<=≤<=100) denotes the number of cubes in the *i*-th column.
Output Specification:
Output *n* integer numbers separated by spaces, where the *i*-th number is the amount of cubes in the *i*-th column after the gravity switch.
Demo Input:
['4\n3 2 1 2\n', '3\n2 3 8\n']
Demo Output:
['1 2 2 3 \n', '2 3 8 \n']
Note:
The first example case is shown on the figure. The top cube of the first column falls to the top of the last column; the top cube of the second column falls to the top of the third column; the middle cube of the first column falls to the top of the second column.
In the second example case the gravity switch does not change the heights of the columns. | ```python
columnsInBox = int(input())
numOfCubes = input().split()
newList = []
for nums in numOfCubes:
newList.append(int(nums))
newList.sort()
print(newList)
``` | 0 | |
507 | A | Amr and Music | PROGRAMMING | 1,000 | [
"greedy",
"implementation",
"sortings"
] | null | null | Amr is a young coder who likes music a lot. He always wanted to learn how to play music but he was busy coding so he got an idea.
Amr has *n* instruments, it takes *a**i* days to learn *i*-th instrument. Being busy, Amr dedicated *k* days to learn how to play the maximum possible number of instruments.
Amr asked for your help to distribute his free days between instruments so that he can achieve his goal. | The first line contains two numbers *n*, *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=10<=000), the number of instruments and number of days respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100), representing number of days required to learn the *i*-th instrument. | In the first line output one integer *m* representing the maximum number of instruments Amr can learn.
In the second line output *m* space-separated integers: the indices of instruments to be learnt. You may output indices in any order.
if there are multiple optimal solutions output any. It is not necessary to use all days for studying. | [
"4 10\n4 3 1 2\n",
"5 6\n4 3 1 1 2\n",
"1 3\n4\n"
] | [
"4\n1 2 3 4",
"3\n1 3 4",
"0\n"
] | In the first test Amr can learn all 4 instruments.
In the second test other possible solutions are: {2, 3, 5} or {3, 4, 5}.
In the third test Amr doesn't have enough time to learn the only presented instrument. | 500 | [
{
"input": "4 10\n4 3 1 2",
"output": "4\n1 2 3 4"
},
{
"input": "5 6\n4 3 1 1 2",
"output": "3\n3 4 5"
},
{
"input": "1 3\n4",
"output": "0"
},
{
"input": "2 100\n100 100",
"output": "1\n1"
},
{
"input": "3 150\n50 50 50",
"output": "3\n1 2 3"
},
{
"i... | 1,694,784,690 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 1 | 46 | 0 | n,k = map(int,input().split())
a = sorted(list(map(int,input().split())))
c=0
L = []
for i in a:
t = sum(L) + i
if t <= k:
L.append(i)
c+= 1
else:
break
print(c)
if L != []:
print(*L)
| Title: Amr and Music
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Amr is a young coder who likes music a lot. He always wanted to learn how to play music but he was busy coding so he got an idea.
Amr has *n* instruments, it takes *a**i* days to learn *i*-th instrument. Being busy, Amr dedicated *k* days to learn how to play the maximum possible number of instruments.
Amr asked for your help to distribute his free days between instruments so that he can achieve his goal.
Input Specification:
The first line contains two numbers *n*, *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=10<=000), the number of instruments and number of days respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100), representing number of days required to learn the *i*-th instrument.
Output Specification:
In the first line output one integer *m* representing the maximum number of instruments Amr can learn.
In the second line output *m* space-separated integers: the indices of instruments to be learnt. You may output indices in any order.
if there are multiple optimal solutions output any. It is not necessary to use all days for studying.
Demo Input:
['4 10\n4 3 1 2\n', '5 6\n4 3 1 1 2\n', '1 3\n4\n']
Demo Output:
['4\n1 2 3 4', '3\n1 3 4', '0\n']
Note:
In the first test Amr can learn all 4 instruments.
In the second test other possible solutions are: {2, 3, 5} or {3, 4, 5}.
In the third test Amr doesn't have enough time to learn the only presented instrument. | ```python
n,k = map(int,input().split())
a = sorted(list(map(int,input().split())))
c=0
L = []
for i in a:
t = sum(L) + i
if t <= k:
L.append(i)
c+= 1
else:
break
print(c)
if L != []:
print(*L)
``` | 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... | 1,418,030,814 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 122 | 0 | lines = []
for i in range(2):
lines.append(input())
#print(lines)
l = len(lines[0])
comp = ""
for i in range(l):
comp = lines[0][i] + comp
if comp == lines[1]:
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
lines = []
for i in range(2):
lines.append(input())
#print(lines)
l = len(lines[0])
comp = ""
for i in range(l):
comp = lines[0][i] + comp
if comp == lines[1]:
print("YES")
else:
print("NO")
``` | 3.9695 |
381 | A | Sereja and Dima | PROGRAMMING | 800 | [
"greedy",
"implementation",
"two pointers"
] | null | null | Sereja and Dima play a game. The rules of the game are very simple. The players have *n* cards in a row. Each card contains a number, all numbers on the cards are distinct. The players take turns, Sereja moves first. During his turn a player can take one card: either the leftmost card in a row, or the rightmost one. The game ends when there is no more cards. The player who has the maximum sum of numbers on his cards by the end of the game, wins.
Sereja and Dima are being greedy. Each of them chooses the card with the larger number during his move.
Inna is a friend of Sereja and Dima. She knows which strategy the guys are using, so she wants to determine the final score, given the initial state of the game. Help her. | The first line contains integer *n* (1<=≤<=*n*<=≤<=1000) — the number of cards on the table. The second line contains space-separated numbers on the cards from left to right. The numbers on the cards are distinct integers from 1 to 1000. | On a single line, print two integers. The first number is the number of Sereja's points at the end of the game, the second number is the number of Dima's points at the end of the game. | [
"4\n4 1 2 10\n",
"7\n1 2 3 4 5 6 7\n"
] | [
"12 5\n",
"16 12\n"
] | In the first sample Sereja will take cards with numbers 10 and 2, so Sereja's sum is 12. Dima will take cards with numbers 4 and 1, so Dima's sum is 5. | 500 | [
{
"input": "4\n4 1 2 10",
"output": "12 5"
},
{
"input": "7\n1 2 3 4 5 6 7",
"output": "16 12"
},
{
"input": "42\n15 29 37 22 16 5 26 31 6 32 19 3 45 36 33 14 25 20 48 7 42 11 24 28 9 18 8 21 47 17 38 40 44 4 35 1 43 39 41 27 12 13",
"output": "613 418"
},
{
"input": "43\n32 ... | 1,673,525,139 | 2,147,483,647 | Python 3 | OK | TESTS | 34 | 46 | 0 | n=int(input())
l=[]
Sereja , Dima, i = 0, 0, 0
t=map(int,input().split())
l+=t
y=len(l)
a=True
while(y!=0):
if(l[0]>=l[y-1]):
x=l[0]
l.pop(0)
else:
x=l[y-1]
l.pop(y-1)
if(a==True):
Sereja+=x
a=False
else:
Dima+=x
a=True
y-=1
print(Sereja,Dima)
| Title: Sereja and Dima
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sereja and Dima play a game. The rules of the game are very simple. The players have *n* cards in a row. Each card contains a number, all numbers on the cards are distinct. The players take turns, Sereja moves first. During his turn a player can take one card: either the leftmost card in a row, or the rightmost one. The game ends when there is no more cards. The player who has the maximum sum of numbers on his cards by the end of the game, wins.
Sereja and Dima are being greedy. Each of them chooses the card with the larger number during his move.
Inna is a friend of Sereja and Dima. She knows which strategy the guys are using, so she wants to determine the final score, given the initial state of the game. Help her.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=1000) — the number of cards on the table. The second line contains space-separated numbers on the cards from left to right. The numbers on the cards are distinct integers from 1 to 1000.
Output Specification:
On a single line, print two integers. The first number is the number of Sereja's points at the end of the game, the second number is the number of Dima's points at the end of the game.
Demo Input:
['4\n4 1 2 10\n', '7\n1 2 3 4 5 6 7\n']
Demo Output:
['12 5\n', '16 12\n']
Note:
In the first sample Sereja will take cards with numbers 10 and 2, so Sereja's sum is 12. Dima will take cards with numbers 4 and 1, so Dima's sum is 5. | ```python
n=int(input())
l=[]
Sereja , Dima, i = 0, 0, 0
t=map(int,input().split())
l+=t
y=len(l)
a=True
while(y!=0):
if(l[0]>=l[y-1]):
x=l[0]
l.pop(0)
else:
x=l[y-1]
l.pop(y-1)
if(a==True):
Sereja+=x
a=False
else:
Dima+=x
a=True
y-=1
print(Sereja,Dima)
``` | 3 | |
78 | B | Easter Eggs | PROGRAMMING | 1,200 | [
"constructive algorithms",
"implementation"
] | B. Easter Eggs | 2 | 256 | The Easter Rabbit laid *n* eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
- Each of the seven colors should be used to paint at least one egg. - Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible. | The only line contains an integer *n* — the amount of eggs (7<=≤<=*n*<=≤<=100). | Print one line consisting of *n* characters. The *i*-th character should describe the color of the *i*-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them. | [
"8\n",
"13\n"
] | [
"ROYGRBIV\n",
"ROYGBIVGBIVYG\n"
] | The way the eggs will be painted in the first sample is shown on the picture: | 1,000 | [
{
"input": "8",
"output": "ROYGBIVG"
},
{
"input": "13",
"output": "ROYGBIVOYGBIV"
},
{
"input": "7",
"output": "ROYGBIV"
},
{
"input": "10",
"output": "ROYGBIVYGB"
},
{
"input": "14",
"output": "ROYGBIVROYGBIV"
},
{
"input": "50",
"output": "ROYGB... | 1,586,327,859 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 7 | 216 | 0 | n=int(input())
s="ROYGBIV"
v=n%7
u=n//7
r=n-u*7
s1=s*u
#print(s1)
if(v>4):
s2=s[0:0+r]
elif(v<4):
s2=s[3:3+r]
#print(s2)
print(s1+s2)
| Title: Easter Eggs
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
The Easter Rabbit laid *n* eggs in a circle and is about to paint them.
Each egg should be painted one color out of 7: red, orange, yellow, green, blue, indigo or violet. Also, the following conditions should be satisfied:
- Each of the seven colors should be used to paint at least one egg. - Any four eggs lying sequentially should be painted different colors.
Help the Easter Rabbit paint the eggs in the required manner. We know that it is always possible.
Input Specification:
The only line contains an integer *n* — the amount of eggs (7<=≤<=*n*<=≤<=100).
Output Specification:
Print one line consisting of *n* characters. The *i*-th character should describe the color of the *i*-th egg in the order they lie in the circle. The colors should be represented as follows: "R" stands for red, "O" stands for orange, "Y" stands for yellow, "G" stands for green, "B" stands for blue, "I" stands for indigo, "V" stands for violet.
If there are several answers, print any of them.
Demo Input:
['8\n', '13\n']
Demo Output:
['ROYGRBIV\n', 'ROYGBIVGBIVYG\n']
Note:
The way the eggs will be painted in the first sample is shown on the picture: | ```python
n=int(input())
s="ROYGBIV"
v=n%7
u=n//7
r=n-u*7
s1=s*u
#print(s1)
if(v>4):
s2=s[0:0+r]
elif(v<4):
s2=s[3:3+r]
#print(s2)
print(s1+s2)
``` | -1 |
582 | A | GCD Table | PROGRAMMING | 1,700 | [
"constructive algorithms",
"greedy",
"number theory"
] | null | null | The GCD table *G* of size *n*<=×<=*n* for an array of positive integers *a* of length *n* is defined by formula
Let us remind you that the greatest common divisor (GCD) of two positive integers *x* and *y* is the greatest integer that is divisor of both *x* and *y*, it is denoted as . For example, for array *a*<==<={4,<=3,<=6,<=2} of length 4 the GCD table will look as follows:
Given all the numbers of the GCD table *G*, restore array *a*. | The first line contains number *n* (1<=≤<=*n*<=≤<=500) — the length of array *a*. The second line contains *n*2 space-separated numbers — the elements of the GCD table of *G* for array *a*.
All the numbers in the table are positive integers, not exceeding 109. Note that the elements are given in an arbitrary order. It is guaranteed that the set of the input data corresponds to some array *a*. | In the single line print *n* positive integers — the elements of array *a*. If there are multiple possible solutions, you are allowed to print any of them. | [
"4\n2 1 2 3 4 3 2 6 1 1 2 2 1 2 3 2\n",
"1\n42\n",
"2\n1 1 1 1\n"
] | [
"4 3 6 2",
"42 ",
"1 1 "
] | none | 750 | [
{
"input": "4\n2 1 2 3 4 3 2 6 1 1 2 2 1 2 3 2",
"output": "2 3 4 6 "
},
{
"input": "1\n42",
"output": "42 "
},
{
"input": "2\n1 1 1 1",
"output": "1 1 "
},
{
"input": "2\n54748096 1 641009859 1",
"output": "54748096 641009859 "
},
{
"input": "3\n1 7 923264237 374... | 1,552,100,358 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 0 | 2,000 | 409,600 | def gcd(a,b):
if b==0: return a
return gcd(b,a%b)
n=int(input())
from collections import Counter
l=[int(i) for i in input().split()]
g=Counter(l)
ans=[]
while g:
m=max(g)
g[m]-=1
for i in ans:
g[gcd(m,i)]-=2
ans+=[m]
# g+=Counter()
print(*ans)
| Title: GCD Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The GCD table *G* of size *n*<=×<=*n* for an array of positive integers *a* of length *n* is defined by formula
Let us remind you that the greatest common divisor (GCD) of two positive integers *x* and *y* is the greatest integer that is divisor of both *x* and *y*, it is denoted as . For example, for array *a*<==<={4,<=3,<=6,<=2} of length 4 the GCD table will look as follows:
Given all the numbers of the GCD table *G*, restore array *a*.
Input Specification:
The first line contains number *n* (1<=≤<=*n*<=≤<=500) — the length of array *a*. The second line contains *n*2 space-separated numbers — the elements of the GCD table of *G* for array *a*.
All the numbers in the table are positive integers, not exceeding 109. Note that the elements are given in an arbitrary order. It is guaranteed that the set of the input data corresponds to some array *a*.
Output Specification:
In the single line print *n* positive integers — the elements of array *a*. If there are multiple possible solutions, you are allowed to print any of them.
Demo Input:
['4\n2 1 2 3 4 3 2 6 1 1 2 2 1 2 3 2\n', '1\n42\n', '2\n1 1 1 1\n']
Demo Output:
['4 3 6 2', '42 ', '1 1 ']
Note:
none | ```python
def gcd(a,b):
if b==0: return a
return gcd(b,a%b)
n=int(input())
from collections import Counter
l=[int(i) for i in input().split()]
g=Counter(l)
ans=[]
while g:
m=max(g)
g[m]-=1
for i in ans:
g[gcd(m,i)]-=2
ans+=[m]
# g+=Counter()
print(*ans)
``` | 0 | |
903 | C | Boxes Packing | PROGRAMMING | 1,200 | [
"greedy"
] | null | null | Mishka has got *n* empty boxes. For every *i* (1<=≤<=*i*<=≤<=*n*), *i*-th box is a cube with side length *a**i*.
Mishka can put a box *i* into another box *j* if the following conditions are met:
- *i*-th box is not put into another box; - *j*-th box doesn't contain any other boxes; - box *i* is smaller than box *j* (*a**i*<=<<=*a**j*).
Mishka can put boxes into each other an arbitrary number of times. He wants to minimize the number of visible boxes. A box is called visible iff it is not put into some another box.
Help Mishka to determine the minimum possible number of visible boxes! | The first line contains one integer *n* (1<=≤<=*n*<=≤<=5000) — the number of boxes Mishka has got.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109), where *a**i* is the side length of *i*-th box. | Print the minimum possible number of visible boxes. | [
"3\n1 2 3\n",
"4\n4 2 4 3\n"
] | [
"1\n",
"2\n"
] | In the first example it is possible to put box 1 into box 2, and 2 into 3.
In the second example Mishka can put box 2 into box 3, and box 4 into box 1. | 0 | [
{
"input": "3\n1 2 3",
"output": "1"
},
{
"input": "4\n4 2 4 3",
"output": "2"
},
{
"input": "10\n58 58 58 58 58 58 58 58 58 58",
"output": "10"
},
{
"input": "10\n86 89 89 86 86 89 86 86 89 89",
"output": "5"
},
{
"input": "100\n981 288 186 186 292 876 341 288 98... | 1,605,533,147 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 108 | 0 | n = int(input())
arr = list(map(int,input().split()))
arr.sort(reverse=True)
count =0
for i in range(n):
if arr[i]!=-1:
selected = arr[i]
count+=1
else:
continue
for i in range(i,n):
if(arr[i]<selected):
selected = arr[i]
arr[i]=-1
print(count) | Title: Boxes Packing
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mishka has got *n* empty boxes. For every *i* (1<=≤<=*i*<=≤<=*n*), *i*-th box is a cube with side length *a**i*.
Mishka can put a box *i* into another box *j* if the following conditions are met:
- *i*-th box is not put into another box; - *j*-th box doesn't contain any other boxes; - box *i* is smaller than box *j* (*a**i*<=<<=*a**j*).
Mishka can put boxes into each other an arbitrary number of times. He wants to minimize the number of visible boxes. A box is called visible iff it is not put into some another box.
Help Mishka to determine the minimum possible number of visible boxes!
Input Specification:
The first line contains one integer *n* (1<=≤<=*n*<=≤<=5000) — the number of boxes Mishka has got.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109), where *a**i* is the side length of *i*-th box.
Output Specification:
Print the minimum possible number of visible boxes.
Demo Input:
['3\n1 2 3\n', '4\n4 2 4 3\n']
Demo Output:
['1\n', '2\n']
Note:
In the first example it is possible to put box 1 into box 2, and 2 into 3.
In the second example Mishka can put box 2 into box 3, and box 4 into box 1. | ```python
n = int(input())
arr = list(map(int,input().split()))
arr.sort(reverse=True)
count =0
for i in range(n):
if arr[i]!=-1:
selected = arr[i]
count+=1
else:
continue
for i in range(i,n):
if(arr[i]<selected):
selected = arr[i]
arr[i]=-1
print(count)
``` | 0 | |
875 | A | Classroom Watch | PROGRAMMING | 1,200 | [
"brute force",
"math"
] | null | null | Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number *n*. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that *n* is the answer to the arithmetic task for first-graders. In the textbook, a certain positive integer *x* was given. The task was to add *x* to the sum of the digits of the number *x* written in decimal numeral system.
Since the number *n* on the board was small, Vova quickly guessed which *x* could be in the textbook. Now he wants to get a program which will search for arbitrary values of the number *n* for all suitable values of *x* or determine that such *x* does not exist. Write such a program for Vova. | The first line contains integer *n* (1<=≤<=*n*<=≤<=109). | In the first line print one integer *k* — number of different values of *x* satisfying the condition.
In next *k* lines print these values in ascending order. | [
"21\n",
"20\n"
] | [
"1\n15\n",
"0\n"
] | In the first test case *x* = 15 there is only one variant: 15 + 1 + 5 = 21.
In the second test case there are no such *x*. | 500 | [
{
"input": "21",
"output": "1\n15"
},
{
"input": "20",
"output": "0"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "1\n1"
},
{
"input": "3",
"output": "0"
},
{
"input": "100000001",
"output": "2\n99999937\n100000000"
},
{
"i... | 1,602,007,778 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 1,000 | 0 | from sys import stdin, stdout
n = int(stdin.readline())
ans = []
for x in range(n):
running_total = x
temp = x
while temp != 0:
running_total += (temp%10)
temp = temp // 10
if running_total == n:
ans.append(x)
if len(ans) == 0:
stdout.write('0')
else:
end_str = str(len(ans))+'\n'
for i in ans:
end_str+=str(i)+' '
stdout.write(end_str) | Title: Classroom Watch
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number *n*. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that *n* is the answer to the arithmetic task for first-graders. In the textbook, a certain positive integer *x* was given. The task was to add *x* to the sum of the digits of the number *x* written in decimal numeral system.
Since the number *n* on the board was small, Vova quickly guessed which *x* could be in the textbook. Now he wants to get a program which will search for arbitrary values of the number *n* for all suitable values of *x* or determine that such *x* does not exist. Write such a program for Vova.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=109).
Output Specification:
In the first line print one integer *k* — number of different values of *x* satisfying the condition.
In next *k* lines print these values in ascending order.
Demo Input:
['21\n', '20\n']
Demo Output:
['1\n15\n', '0\n']
Note:
In the first test case *x* = 15 there is only one variant: 15 + 1 + 5 = 21.
In the second test case there are no such *x*. | ```python
from sys import stdin, stdout
n = int(stdin.readline())
ans = []
for x in range(n):
running_total = x
temp = x
while temp != 0:
running_total += (temp%10)
temp = temp // 10
if running_total == n:
ans.append(x)
if len(ans) == 0:
stdout.write('0')
else:
end_str = str(len(ans))+'\n'
for i in ans:
end_str+=str(i)+' '
stdout.write(end_str)
``` | 0 | |
58 | A | Chat room | PROGRAMMING | 1,000 | [
"greedy",
"strings"
] | A. Chat room | 1 | 256 | Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*. | The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters. | If Vasya managed to say hello, print "YES", otherwise print "NO". | [
"ahhellllloou\n",
"hlelo\n"
] | [
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "ahhellllloou",
"output": "YES"
},
{
"input": "hlelo",
"output": "NO"
},
{
"input": "helhcludoo",
"output": "YES"
},
{
"input": "hehwelloho",
"output": "YES"
},
{
"input": "pnnepelqomhhheollvlo",
"output": "YES"
},
{
"input": "tymbzjyqhymeda... | 1,614,015,781 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 62 | 0 | h = 'hello'
s = input()
i = 0
for c in s:
if c == h[i]:
i += 1
if i == len(h):
break
print('YES' if i == len(h) else 'NO')
| Title: Chat room
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
Input Specification:
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
Output Specification:
If Vasya managed to say hello, print "YES", otherwise print "NO".
Demo Input:
['ahhellllloou\n', 'hlelo\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none | ```python
h = 'hello'
s = input()
i = 0
for c in s:
if c == h[i]:
i += 1
if i == len(h):
break
print('YES' if i == len(h) else 'NO')
``` | 3.969 |
50 | A | Domino piling | PROGRAMMING | 800 | [
"greedy",
"math"
] | A. Domino piling | 2 | 256 | You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions. | In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16). | Output one number — the maximal number of dominoes, which can be placed. | [
"2 4\n",
"3 3\n"
] | [
"4\n",
"4\n"
] | none | 500 | [
{
"input": "2 4",
"output": "4"
},
{
"input": "3 3",
"output": "4"
},
{
"input": "1 5",
"output": "2"
},
{
"input": "1 6",
"output": "3"
},
{
"input": "1 15",
"output": "7"
},
{
"input": "1 16",
"output": "8"
},
{
"input": "2 5",
"outpu... | 1,691,876,433 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 92 | 0 | size = input("")
sizz = size.split(" ")
space = int(sizz[0])*int(sizz[1])
print(int(space/2)) | Title: Domino piling
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
You are given a rectangular board of *M*<=×<=*N* squares. Also you are given an unlimited number of standard domino pieces of 2<=×<=1 squares. You are allowed to rotate the pieces. You are asked to place as many dominoes as possible on the board so as to meet the following conditions:
1. Each domino completely covers two squares.
2. No two dominoes overlap.
3. Each domino lies entirely inside the board. It is allowed to touch the edges of the board.
Find the maximum number of dominoes, which can be placed under these restrictions.
Input Specification:
In a single line you are given two integers *M* and *N* — board sizes in squares (1<=≤<=*M*<=≤<=*N*<=≤<=16).
Output Specification:
Output one number — the maximal number of dominoes, which can be placed.
Demo Input:
['2 4\n', '3 3\n']
Demo Output:
['4\n', '4\n']
Note:
none | ```python
size = input("")
sizz = size.split(" ")
space = int(sizz[0])*int(sizz[1])
print(int(space/2))
``` | 3.977 |
611 | A | New Year and Days | PROGRAMMING | 900 | [
"implementation"
] | null | null | Today is Wednesday, the third day of the week. What's more interesting is that tomorrow is the last day of the year 2015.
Limak is a little polar bear. He enjoyed this year a lot. Now, he is so eager to the coming year 2016.
Limak wants to prove how responsible a bear he is. He is going to regularly save candies for the entire year 2016! He considers various saving plans. He can save one candy either on some fixed day of the week or on some fixed day of the month.
Limak chose one particular plan. He isn't sure how many candies he will save in the 2016 with his plan. Please, calculate it and tell him. | The only line of the input is in one of the following two formats:
- "*x* of week" where *x* (1<=≤<=*x*<=≤<=7) denotes the day of the week. The 1-st day is Monday and the 7-th one is Sunday. - "*x* of month" where *x* (1<=≤<=*x*<=≤<=31) denotes the day of the month. | Print one integer — the number of candies Limak will save in the year 2016. | [
"4 of week\n",
"30 of month\n"
] | [
"52\n",
"11\n"
] | Polar bears use the Gregorian calendar. It is the most common calendar and you likely use it too. You can read about it on Wikipedia if you want to – [https://en.wikipedia.org/wiki/Gregorian_calendar](https://en.wikipedia.org/wiki/Gregorian_calendar). The week starts with Monday.
In the first sample Limak wants to save one candy on each Thursday (the 4-th day of the week). There are 52 Thursdays in the 2016. Thus, he will save 52 candies in total.
In the second sample Limak wants to save one candy on the 30-th day of each month. There is the 30-th day in exactly 11 months in the 2016 — all months but February. It means that Limak will save 11 candies in total. | 500 | [
{
"input": "4 of week",
"output": "52"
},
{
"input": "30 of month",
"output": "11"
},
{
"input": "17 of month",
"output": "12"
},
{
"input": "31 of month",
"output": "7"
},
{
"input": "6 of week",
"output": "53"
},
{
"input": "1 of week",
"output":... | 1,451,489,662 | 1,762 | Python 3 | WRONG_ANSWER | CHALLENGES | 0 | 46 | 0 | help = list(input().split())
if help[2] == 'week':
if int(help[0]) == 5 or int(help[0]) == 6 or int(help[0]) == 7:
print(366 // 7 + 1)
else:
print(366 // 7)
else:
if int(help[0]) <= 29:
print(12)
elif int(help[0]) == 30:
print(11)
else:
print(7) | Title: New Year and Days
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Today is Wednesday, the third day of the week. What's more interesting is that tomorrow is the last day of the year 2015.
Limak is a little polar bear. He enjoyed this year a lot. Now, he is so eager to the coming year 2016.
Limak wants to prove how responsible a bear he is. He is going to regularly save candies for the entire year 2016! He considers various saving plans. He can save one candy either on some fixed day of the week or on some fixed day of the month.
Limak chose one particular plan. He isn't sure how many candies he will save in the 2016 with his plan. Please, calculate it and tell him.
Input Specification:
The only line of the input is in one of the following two formats:
- "*x* of week" where *x* (1<=≤<=*x*<=≤<=7) denotes the day of the week. The 1-st day is Monday and the 7-th one is Sunday. - "*x* of month" where *x* (1<=≤<=*x*<=≤<=31) denotes the day of the month.
Output Specification:
Print one integer — the number of candies Limak will save in the year 2016.
Demo Input:
['4 of week\n', '30 of month\n']
Demo Output:
['52\n', '11\n']
Note:
Polar bears use the Gregorian calendar. It is the most common calendar and you likely use it too. You can read about it on Wikipedia if you want to – [https://en.wikipedia.org/wiki/Gregorian_calendar](https://en.wikipedia.org/wiki/Gregorian_calendar). The week starts with Monday.
In the first sample Limak wants to save one candy on each Thursday (the 4-th day of the week). There are 52 Thursdays in the 2016. Thus, he will save 52 candies in total.
In the second sample Limak wants to save one candy on the 30-th day of each month. There is the 30-th day in exactly 11 months in the 2016 — all months but February. It means that Limak will save 11 candies in total. | ```python
help = list(input().split())
if help[2] == 'week':
if int(help[0]) == 5 or int(help[0]) == 6 or int(help[0]) == 7:
print(366 // 7 + 1)
else:
print(366 // 7)
else:
if int(help[0]) <= 29:
print(12)
elif int(help[0]) == 30:
print(11)
else:
print(7)
``` | 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"
}... | 1,693,933,938 | 2,147,483,647 | Python 3 | OK | TESTS | 42 | 92 | 0 | alphabet=[0]*27
# print(alphabet)
a=int(input())
c=input()
# print(a)
d=False
seta=set()
setalfabet=set()
for i in range(len(c)):
b=int(ord(c[i])-ord('a'))
alphabet[b]+=1
setalfabet.add(c[i])
value=0
lista=[]
for i in range(27):
if alphabet[i]%a!=0:
d=True
break
if(alphabet[i]!=0):
alphabet[i]=int(alphabet[i]/a)
# Convert the set to a string without commas and brackets
set_string =''.join(map(str,setalfabet))
# print(set_string)
setlist = list(seta)
# print(setlist)
if d :
print(-1)
else:
stringa=""
for i in setalfabet:
for j in range(alphabet[int(ord(i)-ord('a'))]):
stringa+=i
mainstring=""
for i in range(a):
mainstring+=stringa
print(mainstring)
| 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
alphabet=[0]*27
# print(alphabet)
a=int(input())
c=input()
# print(a)
d=False
seta=set()
setalfabet=set()
for i in range(len(c)):
b=int(ord(c[i])-ord('a'))
alphabet[b]+=1
setalfabet.add(c[i])
value=0
lista=[]
for i in range(27):
if alphabet[i]%a!=0:
d=True
break
if(alphabet[i]!=0):
alphabet[i]=int(alphabet[i]/a)
# Convert the set to a string without commas and brackets
set_string =''.join(map(str,setalfabet))
# print(set_string)
setlist = list(seta)
# print(setlist)
if d :
print(-1)
else:
stringa=""
for i in setalfabet:
for j in range(alphabet[int(ord(i)-ord('a'))]):
stringa+=i
mainstring=""
for i in range(a):
mainstring+=stringa
print(mainstring)
``` | 3 | |
236 | A | Boy or Girl | PROGRAMMING | 800 | [
"brute force",
"implementation",
"strings"
] | null | null | Those days, many boys use beautiful girls' photos as avatars in forums. So it is pretty hard to tell the gender of a user at the first glance. Last year, our hero went to a forum and had a nice chat with a beauty (he thought so). After that they talked very often and eventually they became a couple in the network.
But yesterday, he came to see "her" in the real world and found out "she" is actually a very strong man! Our hero is very sad and he is too tired to love again now. So he came up with a way to recognize users' genders by their user names.
This is his method: if the number of distinct characters in one's user name is odd, then he is a male, otherwise she is a female. You are given the string that denotes the user name, please help our hero to determine the gender of this user by his method. | The first line contains a non-empty string, that contains only lowercase English letters — the user name. This string contains at most 100 letters. | If it is a female by our hero's method, print "CHAT WITH HER!" (without the quotes), otherwise, print "IGNORE HIM!" (without the quotes). | [
"wjmzbmr\n",
"xiaodao\n",
"sevenkplus\n"
] | [
"CHAT WITH HER!\n",
"IGNORE HIM!\n",
"CHAT WITH HER!\n"
] | For the first example. There are 6 distinct characters in "wjmzbmr". These characters are: "w", "j", "m", "z", "b", "r". So wjmzbmr is a female and you should print "CHAT WITH HER!". | 500 | [
{
"input": "wjmzbmr",
"output": "CHAT WITH HER!"
},
{
"input": "xiaodao",
"output": "IGNORE HIM!"
},
{
"input": "sevenkplus",
"output": "CHAT WITH HER!"
},
{
"input": "pezu",
"output": "CHAT WITH HER!"
},
{
"input": "wnemlgppy",
"output": "CHAT WITH HER!"
},... | 1,695,044,303 | 2,147,483,647 | Python 3 | OK | TESTS | 85 | 92 | 0 | s=input()
a=[]
for i in s:
if i not in a:
a.append(i)
if len(a)%2==0:
print("CHAT WITH HER!")
else:
print("IGNORE HIM!") | Title: Boy or Girl
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Those days, many boys use beautiful girls' photos as avatars in forums. So it is pretty hard to tell the gender of a user at the first glance. Last year, our hero went to a forum and had a nice chat with a beauty (he thought so). After that they talked very often and eventually they became a couple in the network.
But yesterday, he came to see "her" in the real world and found out "she" is actually a very strong man! Our hero is very sad and he is too tired to love again now. So he came up with a way to recognize users' genders by their user names.
This is his method: if the number of distinct characters in one's user name is odd, then he is a male, otherwise she is a female. You are given the string that denotes the user name, please help our hero to determine the gender of this user by his method.
Input Specification:
The first line contains a non-empty string, that contains only lowercase English letters — the user name. This string contains at most 100 letters.
Output Specification:
If it is a female by our hero's method, print "CHAT WITH HER!" (without the quotes), otherwise, print "IGNORE HIM!" (without the quotes).
Demo Input:
['wjmzbmr\n', 'xiaodao\n', 'sevenkplus\n']
Demo Output:
['CHAT WITH HER!\n', 'IGNORE HIM!\n', 'CHAT WITH HER!\n']
Note:
For the first example. There are 6 distinct characters in "wjmzbmr". These characters are: "w", "j", "m", "z", "b", "r". So wjmzbmr is a female and you should print "CHAT WITH HER!". | ```python
s=input()
a=[]
for i in s:
if i not in a:
a.append(i)
if len(a)%2==0:
print("CHAT WITH HER!")
else:
print("IGNORE HIM!")
``` | 3 | |
146 | A | Lucky Ticket | PROGRAMMING | 800 | [
"implementation"
] | null | null | Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves tickets very much. As we know, each ticket has a number that is a positive integer. Its length equals *n* (*n* is always even). Petya calls a ticket lucky if the ticket's number is a lucky number and the sum of digits in the first half (the sum of the first *n*<=/<=2 digits) equals the sum of digits in the second half (the sum of the last *n*<=/<=2 digits). Check if the given ticket is lucky. | The first line contains an even integer *n* (2<=≤<=*n*<=≤<=50) — the length of the ticket number that needs to be checked. The second line contains an integer whose length equals exactly *n* — the ticket number. The number may contain leading zeros. | On the first line print "YES" if the given ticket number is lucky. Otherwise, print "NO" (without the quotes). | [
"2\n47\n",
"4\n4738\n",
"4\n4774\n"
] | [
"NO\n",
"NO\n",
"YES\n"
] | In the first sample the sum of digits in the first half does not equal the sum of digits in the second half (4 ≠ 7).
In the second sample the ticket number is not the lucky number. | 500 | [
{
"input": "2\n47",
"output": "NO"
},
{
"input": "4\n4738",
"output": "NO"
},
{
"input": "4\n4774",
"output": "YES"
},
{
"input": "4\n4570",
"output": "NO"
},
{
"input": "6\n477477",
"output": "YES"
},
{
"input": "6\n777777",
"output": "YES"
},
... | 1,591,878,055 | 2,147,483,647 | PyPy 3 | RUNTIME_ERROR | TESTS | 11 | 404 | 2,048,000 | # cook your dish here
l = int(input())
n = int(input())
val = n
count = 0
a = []
while n>0:
x = n%10
if x==4 or x==7:
a.append(x)
n = n //10
else:
count = count + 1
n = n//10
s = sum(a)
sa = 0
for i in range(l//2):
sa = sa + a[i]
if sa==(s//2) and count==0:
print("YES")
else:
print("NO") | Title: Lucky Ticket
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya loves tickets very much. As we know, each ticket has a number that is a positive integer. Its length equals *n* (*n* is always even). Petya calls a ticket lucky if the ticket's number is a lucky number and the sum of digits in the first half (the sum of the first *n*<=/<=2 digits) equals the sum of digits in the second half (the sum of the last *n*<=/<=2 digits). Check if the given ticket is lucky.
Input Specification:
The first line contains an even integer *n* (2<=≤<=*n*<=≤<=50) — the length of the ticket number that needs to be checked. The second line contains an integer whose length equals exactly *n* — the ticket number. The number may contain leading zeros.
Output Specification:
On the first line print "YES" if the given ticket number is lucky. Otherwise, print "NO" (without the quotes).
Demo Input:
['2\n47\n', '4\n4738\n', '4\n4774\n']
Demo Output:
['NO\n', 'NO\n', 'YES\n']
Note:
In the first sample the sum of digits in the first half does not equal the sum of digits in the second half (4 ≠ 7).
In the second sample the ticket number is not the lucky number. | ```python
# cook your dish here
l = int(input())
n = int(input())
val = n
count = 0
a = []
while n>0:
x = n%10
if x==4 or x==7:
a.append(x)
n = n //10
else:
count = count + 1
n = n//10
s = sum(a)
sa = 0
for i in range(l//2):
sa = sa + a[i]
if sa==(s//2) and count==0:
print("YES")
else:
print("NO")
``` | -1 | |
260 | A | Adding Digits | PROGRAMMING | 1,400 | [
"implementation",
"math"
] | null | null | Vasya has got two number: *a* and *b*. However, Vasya finds number *a* too short. So he decided to repeat the operation of lengthening number *a* *n* times.
One operation of lengthening a number means adding exactly one digit to the number (in the decimal notation) to the right provided that the resulting number is divisible by Vasya's number *b*. If it is impossible to obtain the number which is divisible by *b*, then the lengthening operation cannot be performed.
Your task is to help Vasya and print the number he can get after applying the lengthening operation to number *a* *n* times. | The first line contains three integers: *a*,<=*b*,<=*n* (1<=≤<=*a*,<=*b*,<=*n*<=≤<=105). | In a single line print the integer without leading zeros, which Vasya can get when he applies the lengthening operations to number *a* *n* times. If no such number exists, then print number -1. If there are multiple possible answers, print any of them. | [
"5 4 5\n",
"12 11 1\n",
"260 150 10\n"
] | [
"524848\n",
"121\n",
"-1\n"
] | none | 500 | [
{
"input": "5 4 5",
"output": "524848"
},
{
"input": "12 11 1",
"output": "121"
},
{
"input": "260 150 10",
"output": "-1"
},
{
"input": "78843 5684 42717",
"output": "-1"
},
{
"input": "93248 91435 1133",
"output": "-1"
},
{
"input": "100000 10 64479"... | 1,589,646,579 | 2,147,483,647 | PyPy 3 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 2,000 | 29,081,600 |
def check(a, b):
for i in range(10):
if int(str(a) + str(i)) % b == 0:
return int(str(a) + str(i))
return -1
a, b, n = [int(x) for x in input().split()]
def q(a, b, n):
for _ in range(n):
z = check(a, b)
if z != -1:
a = z
else:
return -1
return a
print(q(a, b, n)) | Title: Adding Digits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has got two number: *a* and *b*. However, Vasya finds number *a* too short. So he decided to repeat the operation of lengthening number *a* *n* times.
One operation of lengthening a number means adding exactly one digit to the number (in the decimal notation) to the right provided that the resulting number is divisible by Vasya's number *b*. If it is impossible to obtain the number which is divisible by *b*, then the lengthening operation cannot be performed.
Your task is to help Vasya and print the number he can get after applying the lengthening operation to number *a* *n* times.
Input Specification:
The first line contains three integers: *a*,<=*b*,<=*n* (1<=≤<=*a*,<=*b*,<=*n*<=≤<=105).
Output Specification:
In a single line print the integer without leading zeros, which Vasya can get when he applies the lengthening operations to number *a* *n* times. If no such number exists, then print number -1. If there are multiple possible answers, print any of them.
Demo Input:
['5 4 5\n', '12 11 1\n', '260 150 10\n']
Demo Output:
['524848\n', '121\n', '-1\n']
Note:
none | ```python
def check(a, b):
for i in range(10):
if int(str(a) + str(i)) % b == 0:
return int(str(a) + str(i))
return -1
a, b, n = [int(x) for x in input().split()]
def q(a, b, n):
for _ in range(n):
z = check(a, b)
if z != -1:
a = z
else:
return -1
return a
print(q(a, b, n))
``` | 0 | |
353 | B | Two Heaps | PROGRAMMING | 1,900 | [
"combinatorics",
"constructive algorithms",
"greedy",
"implementation",
"math",
"sortings"
] | null | null | Valera has 2·*n* cubes, each cube contains an integer from 10 to 99. He arbitrarily chooses *n* cubes and puts them in the first heap. The remaining cubes form the second heap.
Valera decided to play with cubes. During the game he takes a cube from the first heap and writes down the number it has. Then he takes a cube from the second heap and write out its two digits near two digits he had written (to the right of them). In the end he obtained a single fourdigit integer — the first two digits of it is written on the cube from the first heap, and the second two digits of it is written on the second cube from the second heap.
Valera knows arithmetic very well. So, he can easily count the number of distinct fourdigit numbers he can get in the game. The other question is: how to split cubes into two heaps so that this number (the number of distinct fourdigit integers Valera can get) will be as large as possible? | The first line contains integer *n* (1<=≤<=*n*<=≤<=100). The second line contains 2·*n* space-separated integers *a**i* (10<=≤<=*a**i*<=≤<=99), denoting the numbers on the cubes. | In the first line print a single number — the maximum possible number of distinct four-digit numbers Valera can obtain. In the second line print 2·*n* numbers *b**i* (1<=≤<=*b**i*<=≤<=2). The numbers mean: the *i*-th cube belongs to the *b**i*-th heap in your division.
If there are multiple optimal ways to split the cubes into the heaps, print any of them. | [
"1\n10 99\n",
"2\n13 24 13 45\n"
] | [
"1\n2 1 \n",
"4\n1 2 2 1 \n"
] | In the first test case Valera can put the first cube in the first heap, and second cube — in second heap. In this case he obtain number 1099. If he put the second cube in the first heap, and the first cube in the second heap, then he can obtain number 9910. In both cases the maximum number of distinct integers is equal to one.
In the second test case Valera can obtain numbers 1313, 1345, 2413, 2445. Note, that if he put the first and the third cubes in the first heap, he can obtain only two numbers 1324 and 1345. | 1,500 | [
{
"input": "1\n10 99",
"output": "1\n2 1 "
},
{
"input": "2\n13 24 13 45",
"output": "4\n1 2 2 1 "
},
{
"input": "5\n21 60 18 21 17 39 58 74 62 34",
"output": "25\n1 1 1 2 2 1 2 1 2 2 "
},
{
"input": "10\n26 43 29 92 22 27 95 56 72 55 93 51 91 30 70 77 32 69 87 98",
"outp... | 1,597,008,183 | 2,147,483,647 | PyPy 3 | OK | TESTS | 40 | 312 | 20,172,800 | from sys import stdin
n = int(stdin.readline())
a = [int(x) for x in stdin.readline().split()]
a = sorted([(a[x], x) for x in range(n*2)])
group = {}
for x,ind in a:
if x in group:
group[x].append(ind)
else:
group[x] = [ind]
g2 = []
for x in group:
g2.append([len(group[x]), group[x]])
g2.sort()
left = 0
right = 0
board = [0 for x in range(n*2)]
ind = 0
for x,l in g2:
if x == 1:
ind += 1
if left <= right:
left += 1
board[l[0]] = '1'
else:
right += 1
board[l[0]] = '2'
else:
break
if right > left:
turn = True
else:
turn = False
for x,l in g2[ind:]:
left += 1
right += 1
if x%2 == 1:
last = l.pop()
if turn:
board[last] = '1'
else:
board[last] = '2'
turn = not turn
for n in l[::2]:
board[n] = '1'
for n in l[1::2]:
board[n] = '2'
print(left*right)
print(' '.join(board))
| Title: Two Heaps
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Valera has 2·*n* cubes, each cube contains an integer from 10 to 99. He arbitrarily chooses *n* cubes and puts them in the first heap. The remaining cubes form the second heap.
Valera decided to play with cubes. During the game he takes a cube from the first heap and writes down the number it has. Then he takes a cube from the second heap and write out its two digits near two digits he had written (to the right of them). In the end he obtained a single fourdigit integer — the first two digits of it is written on the cube from the first heap, and the second two digits of it is written on the second cube from the second heap.
Valera knows arithmetic very well. So, he can easily count the number of distinct fourdigit numbers he can get in the game. The other question is: how to split cubes into two heaps so that this number (the number of distinct fourdigit integers Valera can get) will be as large as possible?
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=100). The second line contains 2·*n* space-separated integers *a**i* (10<=≤<=*a**i*<=≤<=99), denoting the numbers on the cubes.
Output Specification:
In the first line print a single number — the maximum possible number of distinct four-digit numbers Valera can obtain. In the second line print 2·*n* numbers *b**i* (1<=≤<=*b**i*<=≤<=2). The numbers mean: the *i*-th cube belongs to the *b**i*-th heap in your division.
If there are multiple optimal ways to split the cubes into the heaps, print any of them.
Demo Input:
['1\n10 99\n', '2\n13 24 13 45\n']
Demo Output:
['1\n2 1 \n', '4\n1 2 2 1 \n']
Note:
In the first test case Valera can put the first cube in the first heap, and second cube — in second heap. In this case he obtain number 1099. If he put the second cube in the first heap, and the first cube in the second heap, then he can obtain number 9910. In both cases the maximum number of distinct integers is equal to one.
In the second test case Valera can obtain numbers 1313, 1345, 2413, 2445. Note, that if he put the first and the third cubes in the first heap, he can obtain only two numbers 1324 and 1345. | ```python
from sys import stdin
n = int(stdin.readline())
a = [int(x) for x in stdin.readline().split()]
a = sorted([(a[x], x) for x in range(n*2)])
group = {}
for x,ind in a:
if x in group:
group[x].append(ind)
else:
group[x] = [ind]
g2 = []
for x in group:
g2.append([len(group[x]), group[x]])
g2.sort()
left = 0
right = 0
board = [0 for x in range(n*2)]
ind = 0
for x,l in g2:
if x == 1:
ind += 1
if left <= right:
left += 1
board[l[0]] = '1'
else:
right += 1
board[l[0]] = '2'
else:
break
if right > left:
turn = True
else:
turn = False
for x,l in g2[ind:]:
left += 1
right += 1
if x%2 == 1:
last = l.pop()
if turn:
board[last] = '1'
else:
board[last] = '2'
turn = not turn
for n in l[::2]:
board[n] = '1'
for n in l[1::2]:
board[n] = '2'
print(left*right)
print(' '.join(board))
``` | 3 | |
7 | A | Kalevitch and Chess | PROGRAMMING | 1,100 | [
"brute force",
"constructive algorithms"
] | A. Kalevitch and Chess | 2 | 64 | A famous Berland's painter Kalevitch likes to shock the public. One of his last obsessions is chess. For more than a thousand years people have been playing this old game on uninteresting, monotonous boards. Kalevitch decided to put an end to this tradition and to introduce a new attitude to chessboards.
As before, the chessboard is a square-checkered board with the squares arranged in a 8<=×<=8 grid, each square is painted black or white. Kalevitch suggests that chessboards should be painted in the following manner: there should be chosen a horizontal or a vertical line of 8 squares (i.e. a row or a column), and painted black. Initially the whole chessboard is white, and it can be painted in the above described way one or more times. It is allowed to paint a square many times, but after the first time it does not change its colour any more and remains black. Kalevitch paints chessboards neatly, and it is impossible to judge by an individual square if it was painted with a vertical or a horizontal stroke.
Kalevitch hopes that such chessboards will gain popularity, and he will be commissioned to paint chessboards, which will help him ensure a comfortable old age. The clients will inform him what chessboard they want to have, and the painter will paint a white chessboard meeting the client's requirements.
It goes without saying that in such business one should economize on everything — for each commission he wants to know the minimum amount of strokes that he has to paint to fulfill the client's needs. You are asked to help Kalevitch with this task. | The input file contains 8 lines, each of the lines contains 8 characters. The given matrix describes the client's requirements, W character stands for a white square, and B character — for a square painted black.
It is guaranteed that client's requirments can be fulfilled with a sequence of allowed strokes (vertical/column or horizontal/row). | Output the only number — the minimum amount of rows and columns that Kalevitch has to paint on the white chessboard to meet the client's requirements. | [
"WWWBWWBW\nBBBBBBBB\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\n",
"WWWWWWWW\nBBBBBBBB\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\n"
] | [
"3\n",
"1\n"
] | none | 0 | [
{
"input": "WWWBWWBW\nBBBBBBBB\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW",
"output": "3"
},
{
"input": "WWWWWWWW\nBBBBBBBB\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW",
"output": "1"
},
{
"input": "WWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWW... | 1,645,028,254 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 92 | 0 | #****************************************
#** Solution by BAZOOKA **
#** Sponsored by RED BULL**
#** Team Galaxy **
#** I love ❤Kateryna Gret❤ **
#****************************************/
t = [input().count('B') for i in range(8)]
print(t.count(8) + min(t)%8)
#****************************************
#** Solution by BAZOOKA **
#** Sponsored by RED BULL**
#** Team Galaxy **
#** I love ❤Kateryna Gret❤ **
#****************************************/
| Title: Kalevitch and Chess
Time Limit: 2 seconds
Memory Limit: 64 megabytes
Problem Description:
A famous Berland's painter Kalevitch likes to shock the public. One of his last obsessions is chess. For more than a thousand years people have been playing this old game on uninteresting, monotonous boards. Kalevitch decided to put an end to this tradition and to introduce a new attitude to chessboards.
As before, the chessboard is a square-checkered board with the squares arranged in a 8<=×<=8 grid, each square is painted black or white. Kalevitch suggests that chessboards should be painted in the following manner: there should be chosen a horizontal or a vertical line of 8 squares (i.e. a row or a column), and painted black. Initially the whole chessboard is white, and it can be painted in the above described way one or more times. It is allowed to paint a square many times, but after the first time it does not change its colour any more and remains black. Kalevitch paints chessboards neatly, and it is impossible to judge by an individual square if it was painted with a vertical or a horizontal stroke.
Kalevitch hopes that such chessboards will gain popularity, and he will be commissioned to paint chessboards, which will help him ensure a comfortable old age. The clients will inform him what chessboard they want to have, and the painter will paint a white chessboard meeting the client's requirements.
It goes without saying that in such business one should economize on everything — for each commission he wants to know the minimum amount of strokes that he has to paint to fulfill the client's needs. You are asked to help Kalevitch with this task.
Input Specification:
The input file contains 8 lines, each of the lines contains 8 characters. The given matrix describes the client's requirements, W character stands for a white square, and B character — for a square painted black.
It is guaranteed that client's requirments can be fulfilled with a sequence of allowed strokes (vertical/column or horizontal/row).
Output Specification:
Output the only number — the minimum amount of rows and columns that Kalevitch has to paint on the white chessboard to meet the client's requirements.
Demo Input:
['WWWBWWBW\nBBBBBBBB\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\n', 'WWWWWWWW\nBBBBBBBB\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\n']
Demo Output:
['3\n', '1\n']
Note:
none | ```python
#****************************************
#** Solution by BAZOOKA **
#** Sponsored by RED BULL**
#** Team Galaxy **
#** I love ❤Kateryna Gret❤ **
#****************************************/
t = [input().count('B') for i in range(8)]
print(t.count(8) + min(t)%8)
#****************************************
#** Solution by BAZOOKA **
#** Sponsored by RED BULL**
#** Team Galaxy **
#** I love ❤Kateryna Gret❤ **
#****************************************/
``` | 3.977 |
771 | A | Bear and Friendship Condition | PROGRAMMING | 1,500 | [
"dfs and similar",
"dsu",
"graphs"
] | null | null | Bear Limak examines a social network. Its main functionality is that two members can become friends (then they can talk with each other and share funny pictures).
There are *n* members, numbered 1 through *n*. *m* pairs of members are friends. Of course, a member can't be a friend with themselves.
Let A-B denote that members A and B are friends. Limak thinks that a network is reasonable if and only if the following condition is satisfied: For every three distinct members (X, Y, Z), if X-Y and Y-Z then also X-Z.
For example: if Alan and Bob are friends, and Bob and Ciri are friends, then Alan and Ciri should be friends as well.
Can you help Limak and check if the network is reasonable? Print "YES" or "NO" accordingly, without the quotes. | The first line of the input contain two integers *n* and *m* (3<=≤<=*n*<=≤<=150<=000, ) — the number of members and the number of pairs of members that are friends.
The *i*-th of the next *m* lines contains two distinct integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=*a**i*<=≠<=*b**i*). Members *a**i* and *b**i* are friends with each other. No pair of members will appear more than once in the input. | If the given network is reasonable, print "YES" in a single line (without the quotes). Otherwise, print "NO" in a single line (without the quotes). | [
"4 3\n1 3\n3 4\n1 4\n",
"4 4\n3 1\n2 3\n3 4\n1 2\n",
"10 4\n4 3\n5 10\n8 9\n1 2\n",
"3 2\n1 2\n2 3\n"
] | [
"YES\n",
"NO\n",
"YES\n",
"NO\n"
] | The drawings below show the situation in the first sample (on the left) and in the second sample (on the right). Each edge represents two members that are friends. The answer is "NO" in the second sample because members (2, 3) are friends and members (3, 4) are friends, while members (2, 4) are not. | 250 | [
{
"input": "4 3\n1 3\n3 4\n1 4",
"output": "YES"
},
{
"input": "4 4\n3 1\n2 3\n3 4\n1 2",
"output": "NO"
},
{
"input": "10 4\n4 3\n5 10\n8 9\n1 2",
"output": "YES"
},
{
"input": "3 2\n1 2\n2 3",
"output": "NO"
},
{
"input": "3 0",
"output": "YES"
},
{
... | 1,619,366,422 | 2,147,483,647 | PyPy 3 | TIME_LIMIT_EXCEEDED | TESTS | 9 | 1,000 | 8,499,200 | from collections import defaultdict
class UnionFind():
def __init__(self, n):
self.n = n
self.parents = [-1] * n
def find(self, x):
if self.parents[x] < 0:
return x
else:
self.parents[x] = self.find(self.parents[x])
return self.parents[x]
def union(self, x, y):
x = self.find(x)
y = self.find(y)
if x == y:
return
if self.parents[x] > self.parents[y]:
x, y = y, x
self.parents[x] += self.parents[y]
self.parents[y] = x
def size(self, x):
return -self.parents[self.find(x)]
def same(self, x, y):
return self.find(x) == self.find(y)
def members(self, x):
root = self.find(x)
return [i for i in range(self.n) if self.find(i) == root]
def roots(self):
return [i for i, x in enumerate(self.parents) if x < 0]
def group_count(self):
return len(self.roots())
def all_group_members(self):
group_members = defaultdict(list)
for member in range(self.n):
group_members[self.find(member)].append(member)
return group_members
n,m=map(int,input().split())
g=[[] for i in range(n)]
uf=UnionFind(n)
for _ in range(m):
u,v=map(int,input().split())
g[u-1].append(v-1)
g[v-1].append(u-1)
uf.union(u-1,v-1)
for r in uf.roots():
s=uf.size(r)
for i in uf.members(r):
if len(g[i])!=s-1:
print("NO")
exit()
print("YES") | Title: Bear and Friendship Condition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Bear Limak examines a social network. Its main functionality is that two members can become friends (then they can talk with each other and share funny pictures).
There are *n* members, numbered 1 through *n*. *m* pairs of members are friends. Of course, a member can't be a friend with themselves.
Let A-B denote that members A and B are friends. Limak thinks that a network is reasonable if and only if the following condition is satisfied: For every three distinct members (X, Y, Z), if X-Y and Y-Z then also X-Z.
For example: if Alan and Bob are friends, and Bob and Ciri are friends, then Alan and Ciri should be friends as well.
Can you help Limak and check if the network is reasonable? Print "YES" or "NO" accordingly, without the quotes.
Input Specification:
The first line of the input contain two integers *n* and *m* (3<=≤<=*n*<=≤<=150<=000, ) — the number of members and the number of pairs of members that are friends.
The *i*-th of the next *m* lines contains two distinct integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=*a**i*<=≠<=*b**i*). Members *a**i* and *b**i* are friends with each other. No pair of members will appear more than once in the input.
Output Specification:
If the given network is reasonable, print "YES" in a single line (without the quotes). Otherwise, print "NO" in a single line (without the quotes).
Demo Input:
['4 3\n1 3\n3 4\n1 4\n', '4 4\n3 1\n2 3\n3 4\n1 2\n', '10 4\n4 3\n5 10\n8 9\n1 2\n', '3 2\n1 2\n2 3\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n', 'NO\n']
Note:
The drawings below show the situation in the first sample (on the left) and in the second sample (on the right). Each edge represents two members that are friends. The answer is "NO" in the second sample because members (2, 3) are friends and members (3, 4) are friends, while members (2, 4) are not. | ```python
from collections import defaultdict
class UnionFind():
def __init__(self, n):
self.n = n
self.parents = [-1] * n
def find(self, x):
if self.parents[x] < 0:
return x
else:
self.parents[x] = self.find(self.parents[x])
return self.parents[x]
def union(self, x, y):
x = self.find(x)
y = self.find(y)
if x == y:
return
if self.parents[x] > self.parents[y]:
x, y = y, x
self.parents[x] += self.parents[y]
self.parents[y] = x
def size(self, x):
return -self.parents[self.find(x)]
def same(self, x, y):
return self.find(x) == self.find(y)
def members(self, x):
root = self.find(x)
return [i for i in range(self.n) if self.find(i) == root]
def roots(self):
return [i for i, x in enumerate(self.parents) if x < 0]
def group_count(self):
return len(self.roots())
def all_group_members(self):
group_members = defaultdict(list)
for member in range(self.n):
group_members[self.find(member)].append(member)
return group_members
n,m=map(int,input().split())
g=[[] for i in range(n)]
uf=UnionFind(n)
for _ in range(m):
u,v=map(int,input().split())
g[u-1].append(v-1)
g[v-1].append(u-1)
uf.union(u-1,v-1)
for r in uf.roots():
s=uf.size(r)
for i in uf.members(r):
if len(g[i])!=s-1:
print("NO")
exit()
print("YES")
``` | 0 | |
535 | C | Tavas and Karafs | PROGRAMMING | 1,900 | [
"binary search",
"greedy",
"math"
] | null | null | Karafs is some kind of vegetable in shape of an 1<=×<=*h* rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs.
Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the *i*-th Karafs is *s**i*<==<=*A*<=+<=(*i*<=-<=1)<=×<=*B*.
For a given *m*, let's define an *m*-bite operation as decreasing the height of at most *m* distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero.
Now SaDDas asks you *n* queries. In each query he gives you numbers *l*, *t* and *m* and you should find the largest number *r* such that *l*<=≤<=*r* and sequence *s**l*,<=*s**l*<=+<=1,<=...,<=*s**r* can be eaten by performing *m*-bite no more than *t* times or print -1 if there is no such number *r*. | The first line of input contains three integers *A*, *B* and *n* (1<=≤<=*A*,<=*B*<=≤<=106, 1<=≤<=*n*<=≤<=105).
Next *n* lines contain information about queries. *i*-th line contains integers *l*,<=*t*,<=*m* (1<=≤<=*l*,<=*t*,<=*m*<=≤<=106) for *i*-th query. | For each query, print its answer in a single line. | [
"2 1 4\n1 5 3\n3 3 10\n7 10 2\n6 4 8\n",
"1 5 2\n1 5 10\n2 7 4\n"
] | [
"4\n-1\n8\n-1\n",
"1\n2\n"
] | none | 1,500 | [
{
"input": "2 1 4\n1 5 3\n3 3 10\n7 10 2\n6 4 8",
"output": "4\n-1\n8\n-1"
},
{
"input": "1 5 2\n1 5 10\n2 7 4",
"output": "1\n2"
},
{
"input": "1 1 4\n1 1000000 1000000\n1 1 1000000\n1 1000000 1\n1 1 1",
"output": "1000000\n1\n1413\n1"
},
{
"input": "1000000 1000000 1\n10000... | 1,689,415,386 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 0 | 46 | 0 | print("_RANDOM_GUESS_1689415386.8781166")# 1689415386.8781364 | Title: Tavas and Karafs
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Karafs is some kind of vegetable in shape of an 1<=×<=*h* rectangle. Tavaspolis people love Karafs and they use Karafs in almost any kind of food. Tavas, himself, is crazy about Karafs.
Each Karafs has a positive integer height. Tavas has an infinite 1-based sequence of Karafses. The height of the *i*-th Karafs is *s**i*<==<=*A*<=+<=(*i*<=-<=1)<=×<=*B*.
For a given *m*, let's define an *m*-bite operation as decreasing the height of at most *m* distinct not eaten Karafses by 1. Karafs is considered as eaten when its height becomes zero.
Now SaDDas asks you *n* queries. In each query he gives you numbers *l*, *t* and *m* and you should find the largest number *r* such that *l*<=≤<=*r* and sequence *s**l*,<=*s**l*<=+<=1,<=...,<=*s**r* can be eaten by performing *m*-bite no more than *t* times or print -1 if there is no such number *r*.
Input Specification:
The first line of input contains three integers *A*, *B* and *n* (1<=≤<=*A*,<=*B*<=≤<=106, 1<=≤<=*n*<=≤<=105).
Next *n* lines contain information about queries. *i*-th line contains integers *l*,<=*t*,<=*m* (1<=≤<=*l*,<=*t*,<=*m*<=≤<=106) for *i*-th query.
Output Specification:
For each query, print its answer in a single line.
Demo Input:
['2 1 4\n1 5 3\n3 3 10\n7 10 2\n6 4 8\n', '1 5 2\n1 5 10\n2 7 4\n']
Demo Output:
['4\n-1\n8\n-1\n', '1\n2\n']
Note:
none | ```python
print("_RANDOM_GUESS_1689415386.8781166")# 1689415386.8781364
``` | 0 | |
119 | A | Epic Game | PROGRAMMING | 800 | [
"implementation"
] | null | null | Simon and Antisimon play a game. Initially each player receives one fixed positive integer that doesn't change throughout the game. Simon receives number *a* and Antisimon receives number *b*. They also have a heap of *n* stones. The players take turns to make a move and Simon starts. During a move a player should take from the heap the number of stones equal to the greatest common divisor of the fixed number he has received and the number of stones left in the heap. A player loses when he cannot take the required number of stones (i. e. the heap has strictly less stones left than one needs to take).
Your task is to determine by the given *a*, *b* and *n* who wins the game. | The only string contains space-separated integers *a*, *b* and *n* (1<=≤<=*a*,<=*b*,<=*n*<=≤<=100) — the fixed numbers Simon and Antisimon have received correspondingly and the initial number of stones in the pile. | If Simon wins, print "0" (without the quotes), otherwise print "1" (without the quotes). | [
"3 5 9\n",
"1 1 100\n"
] | [
"0",
"1"
] | The greatest common divisor of two non-negative integers *a* and *b* is such maximum positive integer *k*, that *a* is divisible by *k* without remainder and similarly, *b* is divisible by *k* without remainder. Let *gcd*(*a*, *b*) represent the operation of calculating the greatest common divisor of numbers *a* and *b*. Specifically, *gcd*(*x*, 0) = *gcd*(0, *x*) = *x*.
In the first sample the game will go like that:
- Simon should take *gcd*(3, 9) = 3 stones from the heap. After his move the heap has 6 stones left.- Antisimon should take *gcd*(5, 6) = 1 stone from the heap. After his move the heap has 5 stones left.- Simon should take *gcd*(3, 5) = 1 stone from the heap. After his move the heap has 4 stones left.- Antisimon should take *gcd*(5, 4) = 1 stone from the heap. After his move the heap has 3 stones left.- Simon should take *gcd*(3, 3) = 3 stones from the heap. After his move the heap has 0 stones left.- Antisimon should take *gcd*(5, 0) = 5 stones from the heap. As 0 < 5, it is impossible and Antisimon loses.
In the second sample each player during each move takes one stone from the heap. As *n* is even, Antisimon takes the last stone and Simon can't make a move after that. | 500 | [
{
"input": "3 5 9",
"output": "0"
},
{
"input": "1 1 100",
"output": "1"
},
{
"input": "23 12 16",
"output": "1"
},
{
"input": "95 26 29",
"output": "1"
},
{
"input": "73 32 99",
"output": "1"
},
{
"input": "1 1 1",
"output": "0"
},
{
"inpu... | 1,617,823,584 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 92 | 0 | import math
a, b, n = map(int,input().split())
x = a
while n >= 0:
n -= math.gcd(x, n)
if x == a:
x = b
else:
x = a
print(x) | Title: Epic Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Simon and Antisimon play a game. Initially each player receives one fixed positive integer that doesn't change throughout the game. Simon receives number *a* and Antisimon receives number *b*. They also have a heap of *n* stones. The players take turns to make a move and Simon starts. During a move a player should take from the heap the number of stones equal to the greatest common divisor of the fixed number he has received and the number of stones left in the heap. A player loses when he cannot take the required number of stones (i. e. the heap has strictly less stones left than one needs to take).
Your task is to determine by the given *a*, *b* and *n* who wins the game.
Input Specification:
The only string contains space-separated integers *a*, *b* and *n* (1<=≤<=*a*,<=*b*,<=*n*<=≤<=100) — the fixed numbers Simon and Antisimon have received correspondingly and the initial number of stones in the pile.
Output Specification:
If Simon wins, print "0" (without the quotes), otherwise print "1" (without the quotes).
Demo Input:
['3 5 9\n', '1 1 100\n']
Demo Output:
['0', '1']
Note:
The greatest common divisor of two non-negative integers *a* and *b* is such maximum positive integer *k*, that *a* is divisible by *k* without remainder and similarly, *b* is divisible by *k* without remainder. Let *gcd*(*a*, *b*) represent the operation of calculating the greatest common divisor of numbers *a* and *b*. Specifically, *gcd*(*x*, 0) = *gcd*(0, *x*) = *x*.
In the first sample the game will go like that:
- Simon should take *gcd*(3, 9) = 3 stones from the heap. After his move the heap has 6 stones left.- Antisimon should take *gcd*(5, 6) = 1 stone from the heap. After his move the heap has 5 stones left.- Simon should take *gcd*(3, 5) = 1 stone from the heap. After his move the heap has 4 stones left.- Antisimon should take *gcd*(5, 4) = 1 stone from the heap. After his move the heap has 3 stones left.- Simon should take *gcd*(3, 3) = 3 stones from the heap. After his move the heap has 0 stones left.- Antisimon should take *gcd*(5, 0) = 5 stones from the heap. As 0 < 5, it is impossible and Antisimon loses.
In the second sample each player during each move takes one stone from the heap. As *n* is even, Antisimon takes the last stone and Simon can't make a move after that. | ```python
import math
a, b, n = map(int,input().split())
x = a
while n >= 0:
n -= math.gcd(x, n)
if x == a:
x = b
else:
x = a
print(x)
``` | 0 | |
200 | B | Drinks | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are *n* drinks in his fridge, the volume fraction of orange juice in the *i*-th drink equals *p**i* percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the *n* drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink. | The first input line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of orange-containing drinks in Vasya's fridge. The second line contains *n* integers *p**i* (0<=≤<=*p**i*<=≤<=100) — the volume fraction of orange juice in the *i*-th drink, in percent. The numbers are separated by a space. | Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10<=<=-<=4. | [
"3\n50 50 100\n",
"4\n0 25 50 75\n"
] | [
"66.666666666667\n",
"37.500000000000\n"
] | Note to the first sample: let's assume that Vasya takes *x* milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c1fac6e64d3a8ee6a5ac138cbe51e60039b22473.png" style="max-width: 100.0%;max-height: 100.0%;"/> milliliters. The total cocktail's volume equals 3·*x* milliliters, so the volume fraction of the juice in the cocktail equals <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/ceb0664e55a1f9f5fa1243ec74680a4665a4d58d.png" style="max-width: 100.0%;max-height: 100.0%;"/>, that is, 66.(6) percent. | 500 | [
{
"input": "3\n50 50 100",
"output": "66.666666666667"
},
{
"input": "4\n0 25 50 75",
"output": "37.500000000000"
},
{
"input": "3\n0 1 8",
"output": "3.000000000000"
},
{
"input": "5\n96 89 93 95 70",
"output": "88.600000000000"
},
{
"input": "7\n62 41 78 4 38 39... | 1,693,920,622 | 2,147,483,647 | Python 3 | OK | TESTS | 31 | 92 | 0 | x = int(input())
y = (input())
z = y.split(' ')
s = 0
for j in z:
s += int(j)
# for i in y:
# s += int(i)
print (s/x) | Title: Drinks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Vasya loves orange juice very much. That's why any food and drink in his kitchen necessarily contains orange juice. There are *n* drinks in his fridge, the volume fraction of orange juice in the *i*-th drink equals *p**i* percent.
One day Vasya decided to make himself an orange cocktail. He took equal proportions of each of the *n* drinks and mixed them. Then he wondered, how much orange juice the cocktail has.
Find the volume fraction of orange juice in the final drink.
Input Specification:
The first input line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of orange-containing drinks in Vasya's fridge. The second line contains *n* integers *p**i* (0<=≤<=*p**i*<=≤<=100) — the volume fraction of orange juice in the *i*-th drink, in percent. The numbers are separated by a space.
Output Specification:
Print the volume fraction in percent of orange juice in Vasya's cocktail. The answer will be considered correct if the absolute or relative error does not exceed 10<=<=-<=4.
Demo Input:
['3\n50 50 100\n', '4\n0 25 50 75\n']
Demo Output:
['66.666666666667\n', '37.500000000000\n']
Note:
Note to the first sample: let's assume that Vasya takes *x* milliliters of each drink from the fridge. Then the volume of pure juice in the cocktail will equal <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c1fac6e64d3a8ee6a5ac138cbe51e60039b22473.png" style="max-width: 100.0%;max-height: 100.0%;"/> milliliters. The total cocktail's volume equals 3·*x* milliliters, so the volume fraction of the juice in the cocktail equals <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/ceb0664e55a1f9f5fa1243ec74680a4665a4d58d.png" style="max-width: 100.0%;max-height: 100.0%;"/>, that is, 66.(6) percent. | ```python
x = int(input())
y = (input())
z = y.split(' ')
s = 0
for j in z:
s += int(j)
# for i in y:
# s += int(i)
print (s/x)
``` | 3 | |
734 | A | Anton and Danik | PROGRAMMING | 800 | [
"implementation",
"strings"
] | null | null | Anton likes to play chess, and so does his friend Danik.
Once they have played *n* games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.
Now Anton wonders, who won more games, he or Danik? Help him determine this. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of games played.
The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D' — the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*-th game and 'D' if Danik won the *i*-th game. | If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.
If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.
If Anton and Danik won the same number of games, print "Friendship" (without quotes). | [
"6\nADAAAA\n",
"7\nDDDAADA\n",
"6\nDADADA\n"
] | [
"Anton\n",
"Danik\n",
"Friendship\n"
] | In the first sample, Anton won 6 games, while Danik — only 1. Hence, the answer is "Anton".
In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik".
In the third sample, both Anton and Danik won 3 games and the answer is "Friendship". | 500 | [
{
"input": "6\nADAAAA",
"output": "Anton"
},
{
"input": "7\nDDDAADA",
"output": "Danik"
},
{
"input": "6\nDADADA",
"output": "Friendship"
},
{
"input": "10\nDDDDADDADD",
"output": "Danik"
},
{
"input": "40\nAAAAAAAAADDAAAAAAAAAAADADDAAAAAAAAAAADAA",
"output": ... | 1,697,775,651 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 46 | 204,800 | n=int(input())
a=d=0
s=input()
for i in range(n):
if s[i]=='A': a+=1
else: d+=1
if a==d: print('Friendship')
elif a>d: print('Anton')
else: print('Danik') | Title: Anton and Danik
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Anton likes to play chess, and so does his friend Danik.
Once they have played *n* games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.
Now Anton wonders, who won more games, he or Danik? Help him determine this.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of games played.
The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D' — the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*-th game and 'D' if Danik won the *i*-th game.
Output Specification:
If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.
If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.
If Anton and Danik won the same number of games, print "Friendship" (without quotes).
Demo Input:
['6\nADAAAA\n', '7\nDDDAADA\n', '6\nDADADA\n']
Demo Output:
['Anton\n', 'Danik\n', 'Friendship\n']
Note:
In the first sample, Anton won 6 games, while Danik — only 1. Hence, the answer is "Anton".
In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik".
In the third sample, both Anton and Danik won 3 games and the answer is "Friendship". | ```python
n=int(input())
a=d=0
s=input()
for i in range(n):
if s[i]=='A': a+=1
else: d+=1
if a==d: print('Friendship')
elif a>d: print('Anton')
else: print('Danik')
``` | 3 | |
25 | A | IQ test | PROGRAMMING | 1,300 | [
"brute force"
] | A. IQ test | 2 | 256 | Bob is preparing to pass IQ test. The most frequent task in this test is to find out which one of the given *n* numbers differs from the others. Bob observed that one number usually differs from the others in evenness. Help Bob — to check his answers, he needs a program that among the given *n* numbers finds one that is different in evenness. | The first line contains integer *n* (3<=≤<=*n*<=≤<=100) — amount of numbers in the task. The second line contains *n* space-separated natural numbers, not exceeding 100. It is guaranteed, that exactly one of these numbers differs from the others in evenness. | Output index of number that differs from the others in evenness. Numbers are numbered from 1 in the input order. | [
"5\n2 4 7 8 10\n",
"4\n1 2 1 1\n"
] | [
"3\n",
"2\n"
] | none | 0 | [
{
"input": "5\n2 4 7 8 10",
"output": "3"
},
{
"input": "4\n1 2 1 1",
"output": "2"
},
{
"input": "3\n1 2 2",
"output": "1"
},
{
"input": "3\n100 99 100",
"output": "2"
},
{
"input": "3\n5 3 2",
"output": "3"
},
{
"input": "4\n43 28 1 91",
"output"... | 1,481,601,417 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 12 | 122 | 0 | n = int(input())
given = [int(i) for i in input().split()]
given = [k%2 for k in given]
total = 0
for k in range(1,n-1):
if (given[k] != given[k-1]) and (given[k] != given[k+1]):
print(k+1)
elif (given[0] != given[1]) and (given[0] != given[2]):
print(1)
elif (given[-1] != given[-2]) and (given[-1] != given[-3]):
print(n)
| Title: IQ test
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Bob is preparing to pass IQ test. The most frequent task in this test is to find out which one of the given *n* numbers differs from the others. Bob observed that one number usually differs from the others in evenness. Help Bob — to check his answers, he needs a program that among the given *n* numbers finds one that is different in evenness.
Input Specification:
The first line contains integer *n* (3<=≤<=*n*<=≤<=100) — amount of numbers in the task. The second line contains *n* space-separated natural numbers, not exceeding 100. It is guaranteed, that exactly one of these numbers differs from the others in evenness.
Output Specification:
Output index of number that differs from the others in evenness. Numbers are numbered from 1 in the input order.
Demo Input:
['5\n2 4 7 8 10\n', '4\n1 2 1 1\n']
Demo Output:
['3\n', '2\n']
Note:
none | ```python
n = int(input())
given = [int(i) for i in input().split()]
given = [k%2 for k in given]
total = 0
for k in range(1,n-1):
if (given[k] != given[k-1]) and (given[k] != given[k+1]):
print(k+1)
elif (given[0] != given[1]) and (given[0] != given[2]):
print(1)
elif (given[-1] != given[-2]) and (given[-1] != given[-3]):
print(n)
``` | 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"
},
{
... | 1,496,498,745 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 46 | 0 | l=list(map(int,input().split(" ")))
a=l[0]
b=l[1]
c=l[2]
d=b-a
if d==0 or d%c==0:
print("YES")
else:
print("NO") | 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
l=list(map(int,input().split(" ")))
a=l[0]
b=l[1]
c=l[2]
d=b-a
if d==0 or d%c==0:
print("YES")
else:
print("NO")
``` | 0 | |
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":... | 1,678,022,039 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 1 | 46 | 0 | a="localization"
g="internationalization"
d="pneumonoultramicroscopicsilicovolcanoconiosis"
y=a.replace("ocalizatio","10")
#print(y)
b=g.replace("nternationalizatio","18")
#print(b)
c=d.replace("neumonoultramicroscopicsilicovolcanoconiosi","43")
#print(c)
print("word\n",y,"\n",b,"\n",c)
| 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
a="localization"
g="internationalization"
d="pneumonoultramicroscopicsilicovolcanoconiosis"
y=a.replace("ocalizatio","10")
#print(y)
b=g.replace("nternationalizatio","18")
#print(b)
c=d.replace("neumonoultramicroscopicsilicovolcanoconiosi","43")
#print(c)
print("word\n",y,"\n",b,"\n",c)
``` | 0 |
265 | B | Roadside Trees (Simplified Edition) | PROGRAMMING | 1,000 | [
"greedy",
"implementation"
] | null | null | Squirrel Liss loves nuts. There are *n* trees (numbered 1 to *n* from west to east) along a street and there is a delicious nut on the top of each tree. The height of the tree *i* is *h**i*. Liss wants to eat all nuts.
Now Liss is on the root of the tree with the number 1. In one second Liss can perform one of the following actions:
- Walk up or down one unit on a tree. - Eat a nut on the top of the current tree. - Jump to the next tree. In this action the height of Liss doesn't change. More formally, when Liss is at height *h* of the tree *i* (1<=≤<=*i*<=≤<=*n*<=-<=1), she jumps to height *h* of the tree *i*<=+<=1. This action can't be performed if *h*<=><=*h**i*<=+<=1.
Compute the minimal time (in seconds) required to eat all nuts. | The first line contains an integer *n* (1<=<=≤<=<=*n*<=≤<=105) — the number of trees.
Next *n* lines contains the height of trees: *i*-th line contains an integer *h**i* (1<=≤<=*h**i*<=≤<=104) — the height of the tree with the number *i*. | Print a single integer — the minimal time required to eat all nuts in seconds. | [
"2\n1\n2\n",
"5\n2\n1\n2\n1\n1\n"
] | [
"5\n",
"14\n"
] | none | 1,000 | [
{
"input": "2\n1\n2",
"output": "5"
},
{
"input": "5\n2\n1\n2\n1\n1",
"output": "14"
},
{
"input": "1\n1",
"output": "2"
}
] | 1,598,219,745 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 248 | 6,963,200 | t = input()
n = int(t)
treeList = []
time = 0
for i in range(n):
s = input()
temp = int(s)
treeList.append(temp)
time = treeList[0] + 1
for i in range(1, n):
if treeList[i - 1] > treeList[i]:
time = time + 1 + treeList[i] + 1
else:
time = time + 1 + (treeList[i] - treeList[i-1]) + 1
print(time)
| Title: Roadside Trees (Simplified Edition)
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Squirrel Liss loves nuts. There are *n* trees (numbered 1 to *n* from west to east) along a street and there is a delicious nut on the top of each tree. The height of the tree *i* is *h**i*. Liss wants to eat all nuts.
Now Liss is on the root of the tree with the number 1. In one second Liss can perform one of the following actions:
- Walk up or down one unit on a tree. - Eat a nut on the top of the current tree. - Jump to the next tree. In this action the height of Liss doesn't change. More formally, when Liss is at height *h* of the tree *i* (1<=≤<=*i*<=≤<=*n*<=-<=1), she jumps to height *h* of the tree *i*<=+<=1. This action can't be performed if *h*<=><=*h**i*<=+<=1.
Compute the minimal time (in seconds) required to eat all nuts.
Input Specification:
The first line contains an integer *n* (1<=<=≤<=<=*n*<=≤<=105) — the number of trees.
Next *n* lines contains the height of trees: *i*-th line contains an integer *h**i* (1<=≤<=*h**i*<=≤<=104) — the height of the tree with the number *i*.
Output Specification:
Print a single integer — the minimal time required to eat all nuts in seconds.
Demo Input:
['2\n1\n2\n', '5\n2\n1\n2\n1\n1\n']
Demo Output:
['5\n', '14\n']
Note:
none | ```python
t = input()
n = int(t)
treeList = []
time = 0
for i in range(n):
s = input()
temp = int(s)
treeList.append(temp)
time = treeList[0] + 1
for i in range(1, n):
if treeList[i - 1] > treeList[i]:
time = time + 1 + treeList[i] + 1
else:
time = time + 1 + (treeList[i] - treeList[i-1]) + 1
print(time)
``` | 0 | |
900 | A | Find Extra One | PROGRAMMING | 800 | [
"geometry",
"implementation"
] | null | null | You have *n* distinct points on a plane, none of them lie on *OY* axis. Check that there is a point after removal of which the remaining points are located on one side of the *OY* axis. | The first line contains a single positive integer *n* (2<=≤<=*n*<=≤<=105).
The following *n* lines contain coordinates of the points. The *i*-th of these lines contains two single integers *x**i* and *y**i* (|*x**i*|,<=|*y**i*|<=≤<=109, *x**i*<=≠<=0). No two points coincide. | Print "Yes" if there is such a point, "No" — otherwise.
You can print every letter in any case (upper or lower). | [
"3\n1 1\n-1 -1\n2 -1\n",
"4\n1 1\n2 2\n-1 1\n-2 2\n",
"3\n1 2\n2 1\n4 60\n"
] | [
"Yes",
"No",
"Yes"
] | In the first example the second point can be removed.
In the second example there is no suitable for the condition point.
In the third example any point can be removed. | 500 | [
{
"input": "3\n1 1\n-1 -1\n2 -1",
"output": "Yes"
},
{
"input": "4\n1 1\n2 2\n-1 1\n-2 2",
"output": "No"
},
{
"input": "3\n1 2\n2 1\n4 60",
"output": "Yes"
},
{
"input": "10\n1 1\n2 2\n3 3\n4 4\n5 5\n6 6\n7 7\n8 8\n9 9\n-1 -1",
"output": "Yes"
},
{
"input": "2\n1... | 1,560,308,230 | 2,147,483,647 | Python 3 | OK | TESTS | 71 | 311 | 0 | n = int(input())
p , nn = 0 ,0
for i in range(n):
x,y = map(int,input().split())
if x > 0:
p += 1
else:
nn += 1
if p > 1 and nn > 1:
print('NO')
elif p <= 1 or nn <= 1:
print('YES') | Title: Find Extra One
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have *n* distinct points on a plane, none of them lie on *OY* axis. Check that there is a point after removal of which the remaining points are located on one side of the *OY* axis.
Input Specification:
The first line contains a single positive integer *n* (2<=≤<=*n*<=≤<=105).
The following *n* lines contain coordinates of the points. The *i*-th of these lines contains two single integers *x**i* and *y**i* (|*x**i*|,<=|*y**i*|<=≤<=109, *x**i*<=≠<=0). No two points coincide.
Output Specification:
Print "Yes" if there is such a point, "No" — otherwise.
You can print every letter in any case (upper or lower).
Demo Input:
['3\n1 1\n-1 -1\n2 -1\n', '4\n1 1\n2 2\n-1 1\n-2 2\n', '3\n1 2\n2 1\n4 60\n']
Demo Output:
['Yes', 'No', 'Yes']
Note:
In the first example the second point can be removed.
In the second example there is no suitable for the condition point.
In the third example any point can be removed. | ```python
n = int(input())
p , nn = 0 ,0
for i in range(n):
x,y = map(int,input().split())
if x > 0:
p += 1
else:
nn += 1
if p > 1 and nn > 1:
print('NO')
elif p <= 1 or nn <= 1:
print('YES')
``` | 3 | |
343 | C | Read Time | PROGRAMMING | 1,900 | [
"binary search",
"greedy",
"two pointers"
] | null | null | Mad scientist Mike does not use slow hard disks. His modification of a hard drive has not one, but *n* different heads that can read data in parallel.
When viewed from the side, Mike's hard drive is an endless array of tracks. The tracks of the array are numbered from left to right with integers, starting with 1. In the initial state the *i*-th reading head is above the track number *h**i*. For each of the reading heads, the hard drive's firmware can move the head exactly one track to the right or to the left, or leave it on the current track. During the operation each head's movement does not affect the movement of the other heads: the heads can change their relative order; there can be multiple reading heads above any of the tracks. A track is considered read if at least one head has visited this track. In particular, all of the tracks numbered *h*1, *h*2, ..., *h**n* have been read at the beginning of the operation.
Mike needs to read the data on *m* distinct tracks with numbers *p*1, *p*2, ..., *p**m*. Determine the minimum time the hard drive firmware needs to move the heads and read all the given tracks. Note that an arbitrary number of other tracks can also be read. | The first line of the input contains two space-separated integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of disk heads and the number of tracks to read, accordingly. The second line contains *n* distinct integers *h**i* in ascending order (1<=≤<=*h**i*<=≤<=1010, *h**i*<=<<=*h**i*<=+<=1) — the initial positions of the heads. The third line contains *m* distinct integers *p**i* in ascending order (1<=≤<=*p**i*<=≤<=1010, *p**i*<=<<=*p**i*<=+<=1) - the numbers of tracks to read.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is recommended to use the cin, cout streams or the %I64d specifier. | Print a single number — the minimum time required, in seconds, to read all the needed tracks. | [
"3 4\n2 5 6\n1 3 6 8\n",
"3 3\n1 2 3\n1 2 3\n",
"1 2\n165\n142 200\n"
] | [
"2\n",
"0\n",
"81\n"
] | The first test coincides with the figure. In this case the given tracks can be read in 2 seconds in the following way:
1. during the first second move the 1-st head to the left and let it stay there; 1. move the second head to the left twice; 1. move the third head to the right twice (note that the 6-th track has already been read at the beginning).
One cannot read the tracks in 1 second as the 3-rd head is at distance 2 from the 8-th track. | 1,500 | [
{
"input": "3 4\n2 5 6\n1 3 6 8",
"output": "2"
},
{
"input": "3 3\n1 2 3\n1 2 3",
"output": "0"
},
{
"input": "1 2\n165\n142 200",
"output": "81"
},
{
"input": "1 2\n5000000000\n1 10000000000",
"output": "14999999998"
},
{
"input": "2 4\n3 12\n1 7 8 14",
"out... | 1,668,674,701 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 61 | 233 | 20,172,800 | # Read Time
import sys
input = sys.stdin.buffer.readline
n, m = map(int, input().split())
h = list(map(int, input().split()))
p = list(map(int, input().split()))
# minimmum time for h_i to cover all p_s...p_e
def min_t(h_i, p_s, p_e):
return min(abs(h[h_i]-p[p_s]),abs(h[h_i]-p[p_e])) + (p[p_e]-p[p_s])
# if all the heads can read all the tracks in <= mx_t time
# we use greedy :)
def check(mx_t):
h_i = 0
p_i = 0
while p_i < m and h_i < n:
p_j = p_i
while p_j+1 < m and min_t(h_i, p_i, p_j+1) <= mx_t:
p_j += 1
if min_t(h_i, p_i, p_j) <= mx_t:
p_i = p_j+1
h_i += 1
return p_i == m
l = 0
r = 10**11
while l != r:
mt = (l+r)//2
if check(mt):
r = mt
else:
l = mt+1
print(l)
| Title: Read Time
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mad scientist Mike does not use slow hard disks. His modification of a hard drive has not one, but *n* different heads that can read data in parallel.
When viewed from the side, Mike's hard drive is an endless array of tracks. The tracks of the array are numbered from left to right with integers, starting with 1. In the initial state the *i*-th reading head is above the track number *h**i*. For each of the reading heads, the hard drive's firmware can move the head exactly one track to the right or to the left, or leave it on the current track. During the operation each head's movement does not affect the movement of the other heads: the heads can change their relative order; there can be multiple reading heads above any of the tracks. A track is considered read if at least one head has visited this track. In particular, all of the tracks numbered *h*1, *h*2, ..., *h**n* have been read at the beginning of the operation.
Mike needs to read the data on *m* distinct tracks with numbers *p*1, *p*2, ..., *p**m*. Determine the minimum time the hard drive firmware needs to move the heads and read all the given tracks. Note that an arbitrary number of other tracks can also be read.
Input Specification:
The first line of the input contains two space-separated integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=105) — the number of disk heads and the number of tracks to read, accordingly. The second line contains *n* distinct integers *h**i* in ascending order (1<=≤<=*h**i*<=≤<=1010, *h**i*<=<<=*h**i*<=+<=1) — the initial positions of the heads. The third line contains *m* distinct integers *p**i* in ascending order (1<=≤<=*p**i*<=≤<=1010, *p**i*<=<<=*p**i*<=+<=1) - the numbers of tracks to read.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is recommended to use the cin, cout streams or the %I64d specifier.
Output Specification:
Print a single number — the minimum time required, in seconds, to read all the needed tracks.
Demo Input:
['3 4\n2 5 6\n1 3 6 8\n', '3 3\n1 2 3\n1 2 3\n', '1 2\n165\n142 200\n']
Demo Output:
['2\n', '0\n', '81\n']
Note:
The first test coincides with the figure. In this case the given tracks can be read in 2 seconds in the following way:
1. during the first second move the 1-st head to the left and let it stay there; 1. move the second head to the left twice; 1. move the third head to the right twice (note that the 6-th track has already been read at the beginning).
One cannot read the tracks in 1 second as the 3-rd head is at distance 2 from the 8-th track. | ```python
# Read Time
import sys
input = sys.stdin.buffer.readline
n, m = map(int, input().split())
h = list(map(int, input().split()))
p = list(map(int, input().split()))
# minimmum time for h_i to cover all p_s...p_e
def min_t(h_i, p_s, p_e):
return min(abs(h[h_i]-p[p_s]),abs(h[h_i]-p[p_e])) + (p[p_e]-p[p_s])
# if all the heads can read all the tracks in <= mx_t time
# we use greedy :)
def check(mx_t):
h_i = 0
p_i = 0
while p_i < m and h_i < n:
p_j = p_i
while p_j+1 < m and min_t(h_i, p_i, p_j+1) <= mx_t:
p_j += 1
if min_t(h_i, p_i, p_j) <= mx_t:
p_i = p_j+1
h_i += 1
return p_i == m
l = 0
r = 10**11
while l != r:
mt = (l+r)//2
if check(mt):
r = mt
else:
l = mt+1
print(l)
``` | 3 | |
454 | B | Little Pony and Sort by Shift | PROGRAMMING | 1,200 | [
"implementation"
] | null | null | One day, Twilight Sparkle is interested in how to sort a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* in non-decreasing order. Being a young unicorn, the only operation she can perform is a unit shift. That is, she can move the last element of the sequence to its beginning:
Help Twilight Sparkle to calculate: what is the minimum number of operations that she needs to sort the sequence? | The first line contains an integer *n* (2<=≤<=*n*<=≤<=105). The second line contains *n* integer numbers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105). | If it's impossible to sort the sequence output -1. Otherwise output the minimum number of operations Twilight Sparkle needs to sort it. | [
"2\n2 1\n",
"3\n1 3 2\n",
"2\n1 2\n"
] | [
"1\n",
"-1\n",
"0\n"
] | none | 1,000 | [
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "3\n1 3 2",
"output": "-1"
},
{
"input": "2\n1 2",
"output": "0"
},
{
"input": "6\n3 4 5 6 3 2",
"output": "-1"
},
{
"input": "3\n1 2 1",
"output": "1"
},
{
"input": "5\n1 1 2 1 1",
"output": "2"
}... | 1,624,363,083 | 2,147,483,647 | PyPy 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | n=int(input())
l=list(map(int,input().split()))
z=l.index(max(l))
l1=l[:z+1]
x=l.index(min(l))
l2=l[x:]
if l==sorted(l):
print(0)
elif l1==sorted(l) and l2==sorted(l):
if min(l1)>=max(l2):
print(len(l2))
else:
print(-1)
elif l2==l:
if l[-1]=l[0]
print(1)
else:
print(-1) | Title: Little Pony and Sort by Shift
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day, Twilight Sparkle is interested in how to sort a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* in non-decreasing order. Being a young unicorn, the only operation she can perform is a unit shift. That is, she can move the last element of the sequence to its beginning:
Help Twilight Sparkle to calculate: what is the minimum number of operations that she needs to sort the sequence?
Input Specification:
The first line contains an integer *n* (2<=≤<=*n*<=≤<=105). The second line contains *n* integer numbers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105).
Output Specification:
If it's impossible to sort the sequence output -1. Otherwise output the minimum number of operations Twilight Sparkle needs to sort it.
Demo Input:
['2\n2 1\n', '3\n1 3 2\n', '2\n1 2\n']
Demo Output:
['1\n', '-1\n', '0\n']
Note:
none | ```python
n=int(input())
l=list(map(int,input().split()))
z=l.index(max(l))
l1=l[:z+1]
x=l.index(min(l))
l2=l[x:]
if l==sorted(l):
print(0)
elif l1==sorted(l) and l2==sorted(l):
if min(l1)>=max(l2):
print(len(l2))
else:
print(-1)
elif l2==l:
if l[-1]=l[0]
print(1)
else:
print(-1)
``` | -1 | |
749 | A | Bachgold Problem | PROGRAMMING | 800 | [
"greedy",
"implementation",
"math",
"number theory"
] | null | null | Bachgold problem is very easy to formulate. Given a positive integer *n* represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1.
Recall that integer *k* is called prime if it is greater than 1 and has exactly two positive integer divisors — 1 and *k*. | The only line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000). | The first line of the output contains a single integer *k* — maximum possible number of primes in representation.
The second line should contain *k* primes with their sum equal to *n*. You can print them in any order. If there are several optimal solution, print any of them. | [
"5\n",
"6\n"
] | [
"2\n2 3\n",
"3\n2 2 2\n"
] | none | 500 | [
{
"input": "5",
"output": "2\n2 3"
},
{
"input": "6",
"output": "3\n2 2 2"
},
{
"input": "2",
"output": "1\n2"
},
{
"input": "3",
"output": "1\n3"
},
{
"input": "99999",
"output": "49999\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ... | 1,628,254,013 | 2,147,483,647 | Python 3 | OK | TESTS | 41 | 109 | 7,475,200 | n=int(input())
if n%2==0:
k=[2]*(n//2)
print(n//2)
print(*k)
else:
k=[2]*(n//2)
k[len(k)-1]=3
print(n//2)
print(*k) | Title: Bachgold Problem
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Bachgold problem is very easy to formulate. Given a positive integer *n* represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1.
Recall that integer *k* is called prime if it is greater than 1 and has exactly two positive integer divisors — 1 and *k*.
Input Specification:
The only line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000).
Output Specification:
The first line of the output contains a single integer *k* — maximum possible number of primes in representation.
The second line should contain *k* primes with their sum equal to *n*. You can print them in any order. If there are several optimal solution, print any of them.
Demo Input:
['5\n', '6\n']
Demo Output:
['2\n2 3\n', '3\n2 2 2\n']
Note:
none | ```python
n=int(input())
if n%2==0:
k=[2]*(n//2)
print(n//2)
print(*k)
else:
k=[2]*(n//2)
k[len(k)-1]=3
print(n//2)
print(*k)
``` | 3 | |
678 | D | Iterated Linear Function | PROGRAMMING | 1,700 | [
"math",
"number theory"
] | null | null | Consider a linear function *f*(*x*)<==<=*Ax*<=+<=*B*. Let's define *g*(0)(*x*)<==<=*x* and *g*(*n*)(*x*)<==<=*f*(*g*(*n*<=-<=1)(*x*)) for *n*<=><=0. For the given integer values *A*, *B*, *n* and *x* find the value of *g*(*n*)(*x*) modulo 109<=+<=7. | The only line contains four integers *A*, *B*, *n* and *x* (1<=≤<=*A*,<=*B*,<=*x*<=≤<=109,<=1<=≤<=*n*<=≤<=1018) — the parameters from the problem statement.
Note that the given value *n* can be too large, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type. | Print the only integer *s* — the value *g*(*n*)(*x*) modulo 109<=+<=7. | [
"3 4 1 1\n",
"3 4 2 1\n",
"3 4 3 1\n"
] | [
"7\n",
"25\n",
"79\n"
] | none | 0 | [
{
"input": "3 4 1 1",
"output": "7"
},
{
"input": "3 4 2 1",
"output": "25"
},
{
"input": "3 4 3 1",
"output": "79"
},
{
"input": "1 1 1 1",
"output": "2"
},
{
"input": "3 10 723 6",
"output": "443623217"
},
{
"input": "14 81 51 82",
"output": "908... | 1,590,082,179 | 2,147,483,647 | PyPy 3 | OK | TESTS | 36 | 140 | 0 | import sys,math
def power(x, y, p):
res = 1;
x = x % p;
while (y > 0):
if (y & 1):
res = (res * x) % p;
y = y >> 1;
x = (x * x) % p;
return res;
def modInverse(b,m):
g = math.gcd(b, m)
if (g != 1):
return -1
else:
return pow(b, m - 2, m)
def modDivide(a,b,m):
a = a % m
inv = modInverse(b,m)
if(inv == -1):
print("Division not defined")
else:
return (inv*a) % m
#using sum of GP series
A,B,n,X=map(int,sys.stdin.readline().split())
m=10**9+7
if A==1:
print(((n%m)*B+X)%m)
else:
temp=power(A,n,m)
s=(temp*(X%m))%m
s=(s%m+((modDivide(B*(temp-1),A-1,m)%m)%m)%m)%m
print(s%m)
| Title: Iterated Linear Function
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Consider a linear function *f*(*x*)<==<=*Ax*<=+<=*B*. Let's define *g*(0)(*x*)<==<=*x* and *g*(*n*)(*x*)<==<=*f*(*g*(*n*<=-<=1)(*x*)) for *n*<=><=0. For the given integer values *A*, *B*, *n* and *x* find the value of *g*(*n*)(*x*) modulo 109<=+<=7.
Input Specification:
The only line contains four integers *A*, *B*, *n* and *x* (1<=≤<=*A*,<=*B*,<=*x*<=≤<=109,<=1<=≤<=*n*<=≤<=1018) — the parameters from the problem statement.
Note that the given value *n* can be too large, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type.
Output Specification:
Print the only integer *s* — the value *g*(*n*)(*x*) modulo 109<=+<=7.
Demo Input:
['3 4 1 1\n', '3 4 2 1\n', '3 4 3 1\n']
Demo Output:
['7\n', '25\n', '79\n']
Note:
none | ```python
import sys,math
def power(x, y, p):
res = 1;
x = x % p;
while (y > 0):
if (y & 1):
res = (res * x) % p;
y = y >> 1;
x = (x * x) % p;
return res;
def modInverse(b,m):
g = math.gcd(b, m)
if (g != 1):
return -1
else:
return pow(b, m - 2, m)
def modDivide(a,b,m):
a = a % m
inv = modInverse(b,m)
if(inv == -1):
print("Division not defined")
else:
return (inv*a) % m
#using sum of GP series
A,B,n,X=map(int,sys.stdin.readline().split())
m=10**9+7
if A==1:
print(((n%m)*B+X)%m)
else:
temp=power(A,n,m)
s=(temp*(X%m))%m
s=(s%m+((modDivide(B*(temp-1),A-1,m)%m)%m)%m)%m
print(s%m)
``` | 3 | |
424 | A | Squats | PROGRAMMING | 900 | [
"implementation"
] | null | null | Pasha has many hamsters and he makes them work out. Today, *n* hamsters (*n* is even) came to work out. The hamsters lined up and each hamster either sat down or stood up.
For another exercise, Pasha needs exactly hamsters to stand up and the other hamsters to sit down. In one minute, Pasha can make some hamster ether sit down or stand up. How many minutes will he need to get what he wants if he acts optimally well? | The first line contains integer *n* (2<=≤<=*n*<=≤<=200; *n* is even). The next line contains *n* characters without spaces. These characters describe the hamsters' position: the *i*-th character equals 'X', if the *i*-th hamster in the row is standing, and 'x', if he is sitting. | In the first line, print a single integer — the minimum required number of minutes. In the second line, print a string that describes the hamsters' position after Pasha makes the required changes. If there are multiple optimal positions, print any of them. | [
"4\nxxXx\n",
"2\nXX\n",
"6\nxXXxXx\n"
] | [
"1\nXxXx\n",
"1\nxX\n",
"0\nxXXxXx\n"
] | none | 500 | [
{
"input": "4\nxxXx",
"output": "1\nXxXx"
},
{
"input": "2\nXX",
"output": "1\nxX"
},
{
"input": "6\nxXXxXx",
"output": "0\nxXXxXx"
},
{
"input": "4\nxXXX",
"output": "1\nxxXX"
},
{
"input": "2\nXx",
"output": "0\nXx"
},
{
"input": "22\nXXxXXxxXxXxXXXX... | 1,421,146,541 | 2,147,483,647 | Python 3 | OK | TESTS | 32 | 46 | 0 | def main():
input()
s = input()
ta = t = (s.count('x') - s.count('X')) // 2
res = []
if t > 0:
for c in s:
if t and c == 'x':
c = 'X'
t -= 1
res.append(c)
else:
for c in s:
if t and c == 'X':
c = 'x'
t += 1
res.append(c)
print(abs(ta))
print(''.join(res))
if __name__ == '__main__':
main() | Title: Squats
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pasha has many hamsters and he makes them work out. Today, *n* hamsters (*n* is even) came to work out. The hamsters lined up and each hamster either sat down or stood up.
For another exercise, Pasha needs exactly hamsters to stand up and the other hamsters to sit down. In one minute, Pasha can make some hamster ether sit down or stand up. How many minutes will he need to get what he wants if he acts optimally well?
Input Specification:
The first line contains integer *n* (2<=≤<=*n*<=≤<=200; *n* is even). The next line contains *n* characters without spaces. These characters describe the hamsters' position: the *i*-th character equals 'X', if the *i*-th hamster in the row is standing, and 'x', if he is sitting.
Output Specification:
In the first line, print a single integer — the minimum required number of minutes. In the second line, print a string that describes the hamsters' position after Pasha makes the required changes. If there are multiple optimal positions, print any of them.
Demo Input:
['4\nxxXx\n', '2\nXX\n', '6\nxXXxXx\n']
Demo Output:
['1\nXxXx\n', '1\nxX\n', '0\nxXXxXx\n']
Note:
none | ```python
def main():
input()
s = input()
ta = t = (s.count('x') - s.count('X')) // 2
res = []
if t > 0:
for c in s:
if t and c == 'x':
c = 'X'
t -= 1
res.append(c)
else:
for c in s:
if t and c == 'X':
c = 'x'
t += 1
res.append(c)
print(abs(ta))
print(''.join(res))
if __name__ == '__main__':
main()
``` | 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... | 1,688,881,865 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 46 | 0 | n,k=map(int,input().split())
l=list(map(int,input().split()))
c=0
for i in range(len(l)):
a=5-l[i]
if a>=k:
c+=1
print(c//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=map(int,input().split())
l=list(map(int,input().split()))
c=0
for i in range(len(l)):
a=5-l[i]
if a>=k:
c+=1
print(c//3)
``` | 3 | |
265 | B | Roadside Trees (Simplified Edition) | PROGRAMMING | 1,000 | [
"greedy",
"implementation"
] | null | null | Squirrel Liss loves nuts. There are *n* trees (numbered 1 to *n* from west to east) along a street and there is a delicious nut on the top of each tree. The height of the tree *i* is *h**i*. Liss wants to eat all nuts.
Now Liss is on the root of the tree with the number 1. In one second Liss can perform one of the following actions:
- Walk up or down one unit on a tree. - Eat a nut on the top of the current tree. - Jump to the next tree. In this action the height of Liss doesn't change. More formally, when Liss is at height *h* of the tree *i* (1<=≤<=*i*<=≤<=*n*<=-<=1), she jumps to height *h* of the tree *i*<=+<=1. This action can't be performed if *h*<=><=*h**i*<=+<=1.
Compute the minimal time (in seconds) required to eat all nuts. | The first line contains an integer *n* (1<=<=≤<=<=*n*<=≤<=105) — the number of trees.
Next *n* lines contains the height of trees: *i*-th line contains an integer *h**i* (1<=≤<=*h**i*<=≤<=104) — the height of the tree with the number *i*. | Print a single integer — the minimal time required to eat all nuts in seconds. | [
"2\n1\n2\n",
"5\n2\n1\n2\n1\n1\n"
] | [
"5\n",
"14\n"
] | none | 1,000 | [
{
"input": "2\n1\n2",
"output": "5"
},
{
"input": "5\n2\n1\n2\n1\n1",
"output": "14"
},
{
"input": "1\n1",
"output": "2"
}
] | 1,605,195,598 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 154 | 0 | n = int(input())
s = list(map(int,input().rsplit()))
a=n+sum(s)
for i in range (n-1):
if s[i]>s[i-1]:
a=a+(s[i]-s[i-1])
print(a) | Title: Roadside Trees (Simplified Edition)
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Squirrel Liss loves nuts. There are *n* trees (numbered 1 to *n* from west to east) along a street and there is a delicious nut on the top of each tree. The height of the tree *i* is *h**i*. Liss wants to eat all nuts.
Now Liss is on the root of the tree with the number 1. In one second Liss can perform one of the following actions:
- Walk up or down one unit on a tree. - Eat a nut on the top of the current tree. - Jump to the next tree. In this action the height of Liss doesn't change. More formally, when Liss is at height *h* of the tree *i* (1<=≤<=*i*<=≤<=*n*<=-<=1), she jumps to height *h* of the tree *i*<=+<=1. This action can't be performed if *h*<=><=*h**i*<=+<=1.
Compute the minimal time (in seconds) required to eat all nuts.
Input Specification:
The first line contains an integer *n* (1<=<=≤<=<=*n*<=≤<=105) — the number of trees.
Next *n* lines contains the height of trees: *i*-th line contains an integer *h**i* (1<=≤<=*h**i*<=≤<=104) — the height of the tree with the number *i*.
Output Specification:
Print a single integer — the minimal time required to eat all nuts in seconds.
Demo Input:
['2\n1\n2\n', '5\n2\n1\n2\n1\n1\n']
Demo Output:
['5\n', '14\n']
Note:
none | ```python
n = int(input())
s = list(map(int,input().rsplit()))
a=n+sum(s)
for i in range (n-1):
if s[i]>s[i-1]:
a=a+(s[i]-s[i-1])
print(a)
``` | 0 | |
16 | A | Flag | PROGRAMMING | 800 | [
"implementation"
] | A. Flag | 2 | 64 | According to a new ISO standard, a flag of every country should have a chequered field *n*<=×<=*m*, each square should be of one of 10 colours, and the flag should be «striped»: each horizontal row of the flag should contain squares of the same colour, and the colours of adjacent horizontal rows should be different. Berland's government asked you to find out whether their flag meets the new ISO standard. | The first line of the input contains numbers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100), *n* — the amount of rows, *m* — the amount of columns on the flag of Berland. Then there follows the description of the flag: each of the following *n* lines contain *m* characters. Each character is a digit between 0 and 9, and stands for the colour of the corresponding square. | Output YES, if the flag meets the new ISO standard, and NO otherwise. | [
"3 3\n000\n111\n222\n",
"3 3\n000\n000\n111\n",
"3 3\n000\n111\n002\n"
] | [
"YES\n",
"NO\n",
"NO\n"
] | none | 0 | [
{
"input": "3 3\n000\n111\n222",
"output": "YES"
},
{
"input": "3 3\n000\n000\n111",
"output": "NO"
},
{
"input": "3 3\n000\n111\n002",
"output": "NO"
},
{
"input": "10 10\n2222222222\n5555555555\n0000000000\n4444444444\n1111111111\n3333333393\n3333333333\n5555555555\n0000000... | 1,558,991,338 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 248 | 0 | i = input().split(" ")
n = int(i[0])
m = int(i[1])
flag = [input() for x in range(n)]
previous = ""
result = True
for row in flag:
if not row == row[0]*m:
result = False
if row == previous:
result = False
previous = row
if result:
print("YES")
else:
print("NO")
| Title: Flag
Time Limit: 2 seconds
Memory Limit: 64 megabytes
Problem Description:
According to a new ISO standard, a flag of every country should have a chequered field *n*<=×<=*m*, each square should be of one of 10 colours, and the flag should be «striped»: each horizontal row of the flag should contain squares of the same colour, and the colours of adjacent horizontal rows should be different. Berland's government asked you to find out whether their flag meets the new ISO standard.
Input Specification:
The first line of the input contains numbers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100), *n* — the amount of rows, *m* — the amount of columns on the flag of Berland. Then there follows the description of the flag: each of the following *n* lines contain *m* characters. Each character is a digit between 0 and 9, and stands for the colour of the corresponding square.
Output Specification:
Output YES, if the flag meets the new ISO standard, and NO otherwise.
Demo Input:
['3 3\n000\n111\n222\n', '3 3\n000\n000\n111\n', '3 3\n000\n111\n002\n']
Demo Output:
['YES\n', 'NO\n', 'NO\n']
Note:
none | ```python
i = input().split(" ")
n = int(i[0])
m = int(i[1])
flag = [input() for x in range(n)]
previous = ""
result = True
for row in flag:
if not row == row[0]*m:
result = False
if row == previous:
result = False
previous = row
if result:
print("YES")
else:
print("NO")
``` | 3.938 |
67 | A | Partial Teacher | PROGRAMMING | 1,800 | [
"dp",
"graphs",
"greedy",
"implementation"
] | A. Partial Teacher | 1 | 256 | A teacher decides to give toffees to his students. He asks *n* students to stand in a queue. Since the teacher is very partial, he follows the following rule to distribute toffees.
He looks at the first two students and gives more toffees to the student having higher marks than the other one. If they have the same marks they get the same number of toffees. The same procedure is followed for each pair of adjacent students starting from the first one to the last one.
It is given that each student receives at least one toffee. You have to find the number of toffees given to each student by the teacher such that the total number of toffees is minimum. | The first line of input contains the number of students *n* (2<=≤<=*n*<=≤<=1000). The second line gives (*n*<=-<=1) characters consisting of "L", "R" and "=". For each pair of adjacent students "L" means that the left student has higher marks, "R" means that the right student has higher marks and "=" means that both have equal marks. | Output consists of *n* integers separated by a space representing the number of toffees each student receives in the queue starting from the first one to the last one. | [
"5\nLRLR\n",
"5\n=RRR\n"
] | [
"2 1 2 1 2\n",
"1 1 2 3 4\n"
] | none | 500 | [
{
"input": "5\nLRLR",
"output": "2 1 2 1 2"
},
{
"input": "5\n=RRR",
"output": "1 1 2 3 4"
},
{
"input": "6\nRLRL=",
"output": "1 2 1 2 1 1"
},
{
"input": "3\nR=",
"output": "1 2 2"
},
{
"input": "7\nRR==RR",
"output": "1 2 3 3 3 4 5"
},
{
"input": "16... | 1,586,521,199 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 4 | 280 | 0 | n = int(input())
s = input()
a = [1]*n
for i in range(n-1):
if(s[i] == 'R'):
a[i+1] = a[i] + 1
for i in range(n-2,-1,-1):
if(s[i] == 'L'):
a[i] = a[i+1] + 1
for i in range(n-1):
if(s[i] == '='):
if(a[i]>=a[i+1]):
a[i+1] = a[i]
else:
a[i] = a[i+1]
print(*a)
| Title: Partial Teacher
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
A teacher decides to give toffees to his students. He asks *n* students to stand in a queue. Since the teacher is very partial, he follows the following rule to distribute toffees.
He looks at the first two students and gives more toffees to the student having higher marks than the other one. If they have the same marks they get the same number of toffees. The same procedure is followed for each pair of adjacent students starting from the first one to the last one.
It is given that each student receives at least one toffee. You have to find the number of toffees given to each student by the teacher such that the total number of toffees is minimum.
Input Specification:
The first line of input contains the number of students *n* (2<=≤<=*n*<=≤<=1000). The second line gives (*n*<=-<=1) characters consisting of "L", "R" and "=". For each pair of adjacent students "L" means that the left student has higher marks, "R" means that the right student has higher marks and "=" means that both have equal marks.
Output Specification:
Output consists of *n* integers separated by a space representing the number of toffees each student receives in the queue starting from the first one to the last one.
Demo Input:
['5\nLRLR\n', '5\n=RRR\n']
Demo Output:
['2 1 2 1 2\n', '1 1 2 3 4\n']
Note:
none | ```python
n = int(input())
s = input()
a = [1]*n
for i in range(n-1):
if(s[i] == 'R'):
a[i+1] = a[i] + 1
for i in range(n-2,-1,-1):
if(s[i] == 'L'):
a[i] = a[i+1] + 1
for i in range(n-1):
if(s[i] == '='):
if(a[i]>=a[i+1]):
a[i+1] = a[i]
else:
a[i] = a[i+1]
print(*a)
``` | 0 |
456 | A | Laptops | PROGRAMMING | 1,100 | [
"sortings"
] | null | null | One day Dima and Alex had an argument about the price and quality of laptops. Dima thinks that the more expensive a laptop is, the better it is. Alex disagrees. Alex thinks that there are two laptops, such that the price of the first laptop is less (strictly smaller) than the price of the second laptop but the quality of the first laptop is higher (strictly greater) than the quality of the second laptop.
Please, check the guess of Alex. You are given descriptions of *n* laptops. Determine whether two described above laptops exist. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of laptops.
Next *n* lines contain two integers each, *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*), where *a**i* is the price of the *i*-th laptop, and *b**i* is the number that represents the quality of the *i*-th laptop (the larger the number is, the higher is the quality).
All *a**i* are distinct. All *b**i* are distinct. | If Alex is correct, print "Happy Alex", otherwise print "Poor Alex" (without the quotes). | [
"2\n1 2\n2 1\n"
] | [
"Happy Alex\n"
] | none | 500 | [
{
"input": "2\n1 2\n2 1",
"output": "Happy Alex"
},
{
"input": "2\n1 1\n2 2",
"output": "Poor Alex"
},
{
"input": "3\n2 2\n3 3\n1 1",
"output": "Poor Alex"
},
{
"input": "3\n3 3\n1 2\n2 1",
"output": "Happy Alex"
},
{
"input": "1\n1 1",
"output": "Poor Alex"
... | 1,696,813,861 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 46 | 717 | 13,312,000 | def solve():
x = int(input())
l = []
for i in range(x):
a, b = map(int, input().split())
l.append((a, b))
l.sort(key=lambda p: p[0])
for i in range(1, x):
if l[i][1]-l[i-1][1] < 0:
print('Happy Alex')
return
print('Poor Alex')
# t = int(input())
t = 1
while t:
solve()
t -= 1
| Title: Laptops
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Dima and Alex had an argument about the price and quality of laptops. Dima thinks that the more expensive a laptop is, the better it is. Alex disagrees. Alex thinks that there are two laptops, such that the price of the first laptop is less (strictly smaller) than the price of the second laptop but the quality of the first laptop is higher (strictly greater) than the quality of the second laptop.
Please, check the guess of Alex. You are given descriptions of *n* laptops. Determine whether two described above laptops exist.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of laptops.
Next *n* lines contain two integers each, *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*), where *a**i* is the price of the *i*-th laptop, and *b**i* is the number that represents the quality of the *i*-th laptop (the larger the number is, the higher is the quality).
All *a**i* are distinct. All *b**i* are distinct.
Output Specification:
If Alex is correct, print "Happy Alex", otherwise print "Poor Alex" (without the quotes).
Demo Input:
['2\n1 2\n2 1\n']
Demo Output:
['Happy Alex\n']
Note:
none | ```python
def solve():
x = int(input())
l = []
for i in range(x):
a, b = map(int, input().split())
l.append((a, b))
l.sort(key=lambda p: p[0])
for i in range(1, x):
if l[i][1]-l[i-1][1] < 0:
print('Happy Alex')
return
print('Poor Alex')
# t = int(input())
t = 1
while t:
solve()
t -= 1
``` | 3 | |
59 | A | Word | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Word | 2 | 256 | Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. | The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. | Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. | [
"HoUse\n",
"ViP\n",
"maTRIx\n"
] | [
"house\n",
"VIP\n",
"matrix\n"
] | none | 500 | [
{
"input": "HoUse",
"output": "house"
},
{
"input": "ViP",
"output": "VIP"
},
{
"input": "maTRIx",
"output": "matrix"
},
{
"input": "BNHWpnpawg",
"output": "bnhwpnpawg"
},
{
"input": "VTYGP",
"output": "VTYGP"
},
{
"input": "CHNenu",
"output": "chn... | 1,600,653,548 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 216 | 0 |
"""""
def uccf( str ):
x = 0
while x < len(str):
if ('a' <= str[x]) and ('z' >= str[x]):
str.replace(str[x], chr(65 + ord(str[x]) - ord('a')))
#print(str[x])
x = x+1
def lccF(str):
str.lower()
x = 0
while x < len(str):
if ('A' <= str[x]) and ('Z' >= str[x]):
str.replace(str[x],chr(ord('a') + ord(str[x]) - 65))
#print(str[x])
x = x + 1"""
string = input()
""""x=ord('a')
print((x))"""""
lcc = 0
ucc = 0
for x in string:
#print(x)
if ('a' <= x) and ('z' >= x):
lcc = lcc+1
else:
ucc = ucc+1
#print(lcc)
#print(ucc)
if lcc<ucc:
print(string.upper())
else:
print(string.lower())
#print(string)
exit() | Title: Word
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
Input Specification:
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
Output Specification:
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
Demo Input:
['HoUse\n', 'ViP\n', 'maTRIx\n']
Demo Output:
['house\n', 'VIP\n', 'matrix\n']
Note:
none | ```python
"""""
def uccf( str ):
x = 0
while x < len(str):
if ('a' <= str[x]) and ('z' >= str[x]):
str.replace(str[x], chr(65 + ord(str[x]) - ord('a')))
#print(str[x])
x = x+1
def lccF(str):
str.lower()
x = 0
while x < len(str):
if ('A' <= str[x]) and ('Z' >= str[x]):
str.replace(str[x],chr(ord('a') + ord(str[x]) - 65))
#print(str[x])
x = x + 1"""
string = input()
""""x=ord('a')
print((x))"""""
lcc = 0
ucc = 0
for x in string:
#print(x)
if ('a' <= x) and ('z' >= x):
lcc = lcc+1
else:
ucc = ucc+1
#print(lcc)
#print(ucc)
if lcc<ucc:
print(string.upper())
else:
print(string.lower())
#print(string)
exit()
``` | 3.946 |
822 | A | I'm bored with life | PROGRAMMING | 800 | [
"implementation",
"math",
"number theory"
] | null | null | Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to leave Vičkopolis and move to Pavlopolis. Thus Leha was left completely alone in a quiet town Vičkopolis. He almost even fell into a depression from boredom!
Leha came up with a task for himself to relax a little. He chooses two integers *A* and *B* and then calculates the greatest common divisor of integers "*A* factorial" and "*B* factorial". Formally the hacker wants to find out GCD(*A*!,<=*B*!). It's well known that the factorial of an integer *x* is a product of all positive integers less than or equal to *x*. Thus *x*!<==<=1·2·3·...·(*x*<=-<=1)·*x*. For example 4!<==<=1·2·3·4<==<=24. Recall that GCD(*x*,<=*y*) is the largest positive integer *q* that divides (without a remainder) both *x* and *y*.
Leha has learned how to solve this task very effective. You are able to cope with it not worse, aren't you? | The first and single line contains two integers *A* and *B* (1<=≤<=*A*,<=*B*<=≤<=109,<=*min*(*A*,<=*B*)<=≤<=12). | Print a single integer denoting the greatest common divisor of integers *A*! and *B*!. | [
"4 3\n"
] | [
"6\n"
] | Consider the sample.
4! = 1·2·3·4 = 24. 3! = 1·2·3 = 6. The greatest common divisor of integers 24 and 6 is exactly 6. | 500 | [
{
"input": "4 3",
"output": "6"
},
{
"input": "10 399603090",
"output": "3628800"
},
{
"input": "6 973151934",
"output": "720"
},
{
"input": "2 841668075",
"output": "2"
},
{
"input": "7 415216919",
"output": "5040"
},
{
"input": "3 283733059",
"ou... | 1,674,890,862 | 2,147,483,647 | Python 3 | OK | TESTS | 59 | 46 | 0 | d = input().split(' ')
A = int(d[0])
B = int(d[1])
def factorial(x):
if x == 0:
return 1
return x * factorial(x-1)
if A>=B:
print(factorial(B))
else:
print(factorial(A))
| Title: I'm bored with life
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to leave Vičkopolis and move to Pavlopolis. Thus Leha was left completely alone in a quiet town Vičkopolis. He almost even fell into a depression from boredom!
Leha came up with a task for himself to relax a little. He chooses two integers *A* and *B* and then calculates the greatest common divisor of integers "*A* factorial" and "*B* factorial". Formally the hacker wants to find out GCD(*A*!,<=*B*!). It's well known that the factorial of an integer *x* is a product of all positive integers less than or equal to *x*. Thus *x*!<==<=1·2·3·...·(*x*<=-<=1)·*x*. For example 4!<==<=1·2·3·4<==<=24. Recall that GCD(*x*,<=*y*) is the largest positive integer *q* that divides (without a remainder) both *x* and *y*.
Leha has learned how to solve this task very effective. You are able to cope with it not worse, aren't you?
Input Specification:
The first and single line contains two integers *A* and *B* (1<=≤<=*A*,<=*B*<=≤<=109,<=*min*(*A*,<=*B*)<=≤<=12).
Output Specification:
Print a single integer denoting the greatest common divisor of integers *A*! and *B*!.
Demo Input:
['4 3\n']
Demo Output:
['6\n']
Note:
Consider the sample.
4! = 1·2·3·4 = 24. 3! = 1·2·3 = 6. The greatest common divisor of integers 24 and 6 is exactly 6. | ```python
d = input().split(' ')
A = int(d[0])
B = int(d[1])
def factorial(x):
if x == 0:
return 1
return x * factorial(x-1)
if A>=B:
print(factorial(B))
else:
print(factorial(A))
``` | 3 | |
677 | A | Vanya and Fence | PROGRAMMING | 800 | [
"implementation"
] | null | null | Vanya and his friends are walking along the fence of height *h* and they do not want the guard to notice them. In order to achieve this the height of each of the friends should not exceed *h*. If the height of some person is greater than *h* he can bend down and then he surely won't be noticed by the guard. The height of the *i*-th person is equal to *a**i*.
Consider the width of the person walking as usual to be equal to 1, while the width of the bent person is equal to 2. Friends want to talk to each other while walking, so they would like to walk in a single row. What is the minimum width of the road, such that friends can walk in a row and remain unattended by the guard? | The first line of the input contains two integers *n* and *h* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*h*<=≤<=1000) — the number of friends and the height of the fence, respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=2*h*), the *i*-th of them is equal to the height of the *i*-th person. | Print a single integer — the minimum possible valid width of the road. | [
"3 7\n4 5 14\n",
"6 1\n1 1 1 1 1 1\n",
"6 5\n7 6 8 9 10 5\n"
] | [
"4\n",
"6\n",
"11\n"
] | In the first sample, only person number 3 must bend down, so the required width is equal to 1 + 1 + 2 = 4.
In the second sample, all friends are short enough and no one has to bend, so the width 1 + 1 + 1 + 1 + 1 + 1 = 6 is enough.
In the third sample, all the persons have to bend, except the last one. The required minimum width of the road is equal to 2 + 2 + 2 + 2 + 2 + 1 = 11. | 500 | [
{
"input": "3 7\n4 5 14",
"output": "4"
},
{
"input": "6 1\n1 1 1 1 1 1",
"output": "6"
},
{
"input": "6 5\n7 6 8 9 10 5",
"output": "11"
},
{
"input": "10 420\n214 614 297 675 82 740 174 23 255 15",
"output": "13"
},
{
"input": "10 561\n657 23 1096 487 785 66 481... | 1,690,388,070 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 29 | 62 | 0 | friends_num, fence_height = map(int, input().split())
friends_heights = [int(height) for height in input().split()]
road_width = sum(
1
if height <= fence_height
else 2
for height in friends_heights
)
print(road_width)
| Title: Vanya and Fence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vanya and his friends are walking along the fence of height *h* and they do not want the guard to notice them. In order to achieve this the height of each of the friends should not exceed *h*. If the height of some person is greater than *h* he can bend down and then he surely won't be noticed by the guard. The height of the *i*-th person is equal to *a**i*.
Consider the width of the person walking as usual to be equal to 1, while the width of the bent person is equal to 2. Friends want to talk to each other while walking, so they would like to walk in a single row. What is the minimum width of the road, such that friends can walk in a row and remain unattended by the guard?
Input Specification:
The first line of the input contains two integers *n* and *h* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*h*<=≤<=1000) — the number of friends and the height of the fence, respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=2*h*), the *i*-th of them is equal to the height of the *i*-th person.
Output Specification:
Print a single integer — the minimum possible valid width of the road.
Demo Input:
['3 7\n4 5 14\n', '6 1\n1 1 1 1 1 1\n', '6 5\n7 6 8 9 10 5\n']
Demo Output:
['4\n', '6\n', '11\n']
Note:
In the first sample, only person number 3 must bend down, so the required width is equal to 1 + 1 + 2 = 4.
In the second sample, all friends are short enough and no one has to bend, so the width 1 + 1 + 1 + 1 + 1 + 1 = 6 is enough.
In the third sample, all the persons have to bend, except the last one. The required minimum width of the road is equal to 2 + 2 + 2 + 2 + 2 + 1 = 11. | ```python
friends_num, fence_height = map(int, input().split())
friends_heights = [int(height) for height in input().split()]
road_width = sum(
1
if height <= fence_height
else 2
for height in friends_heights
)
print(road_width)
``` | 3 | |
507 | A | Amr and Music | PROGRAMMING | 1,000 | [
"greedy",
"implementation",
"sortings"
] | null | null | Amr is a young coder who likes music a lot. He always wanted to learn how to play music but he was busy coding so he got an idea.
Amr has *n* instruments, it takes *a**i* days to learn *i*-th instrument. Being busy, Amr dedicated *k* days to learn how to play the maximum possible number of instruments.
Amr asked for your help to distribute his free days between instruments so that he can achieve his goal. | The first line contains two numbers *n*, *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=10<=000), the number of instruments and number of days respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100), representing number of days required to learn the *i*-th instrument. | In the first line output one integer *m* representing the maximum number of instruments Amr can learn.
In the second line output *m* space-separated integers: the indices of instruments to be learnt. You may output indices in any order.
if there are multiple optimal solutions output any. It is not necessary to use all days for studying. | [
"4 10\n4 3 1 2\n",
"5 6\n4 3 1 1 2\n",
"1 3\n4\n"
] | [
"4\n1 2 3 4",
"3\n1 3 4",
"0\n"
] | In the first test Amr can learn all 4 instruments.
In the second test other possible solutions are: {2, 3, 5} or {3, 4, 5}.
In the third test Amr doesn't have enough time to learn the only presented instrument. | 500 | [
{
"input": "4 10\n4 3 1 2",
"output": "4\n1 2 3 4"
},
{
"input": "5 6\n4 3 1 1 2",
"output": "3\n3 4 5"
},
{
"input": "1 3\n4",
"output": "0"
},
{
"input": "2 100\n100 100",
"output": "1\n1"
},
{
"input": "3 150\n50 50 50",
"output": "3\n1 2 3"
},
{
"i... | 1,581,871,165 | 2,147,483,647 | Python 3 | OK | TESTS | 39 | 108 | 0 | n, k = map(int, input().split())
req_days = [int(c) for c in input().split()]
req_days_sorted = sorted((e, i) for i, e in enumerate(req_days, 1))
acc = 0
#print(req_days_sorted)
ans = []
for e, i in req_days_sorted:
#print(acc, i, e, k)
if acc + e <= k:
acc += e
ans.append(i)
print(len(ans))
if len(ans) > 0:
print(*ans)
| Title: Amr and Music
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Amr is a young coder who likes music a lot. He always wanted to learn how to play music but he was busy coding so he got an idea.
Amr has *n* instruments, it takes *a**i* days to learn *i*-th instrument. Being busy, Amr dedicated *k* days to learn how to play the maximum possible number of instruments.
Amr asked for your help to distribute his free days between instruments so that he can achieve his goal.
Input Specification:
The first line contains two numbers *n*, *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=10<=000), the number of instruments and number of days respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100), representing number of days required to learn the *i*-th instrument.
Output Specification:
In the first line output one integer *m* representing the maximum number of instruments Amr can learn.
In the second line output *m* space-separated integers: the indices of instruments to be learnt. You may output indices in any order.
if there are multiple optimal solutions output any. It is not necessary to use all days for studying.
Demo Input:
['4 10\n4 3 1 2\n', '5 6\n4 3 1 1 2\n', '1 3\n4\n']
Demo Output:
['4\n1 2 3 4', '3\n1 3 4', '0\n']
Note:
In the first test Amr can learn all 4 instruments.
In the second test other possible solutions are: {2, 3, 5} or {3, 4, 5}.
In the third test Amr doesn't have enough time to learn the only presented instrument. | ```python
n, k = map(int, input().split())
req_days = [int(c) for c in input().split()]
req_days_sorted = sorted((e, i) for i, e in enumerate(req_days, 1))
acc = 0
#print(req_days_sorted)
ans = []
for e, i in req_days_sorted:
#print(acc, i, e, k)
if acc + e <= k:
acc += e
ans.append(i)
print(len(ans))
if len(ans) > 0:
print(*ans)
``` | 3 | |
601 | A | The Two Routes | PROGRAMMING | 1,600 | [
"graphs",
"shortest paths"
] | null | null | In Absurdistan, there are *n* towns (numbered 1 through *n*) and *m* bidirectional railways. There is also an absurdly simple road network — for each pair of different towns *x* and *y*, there is a bidirectional road between towns *x* and *y* if and only if there is no railway between them. Travelling to a different town using one railway or one road always takes exactly one hour.
A train and a bus leave town 1 at the same time. They both have the same destination, town *n*, and don't make any stops on the way (but they can wait in town *n*). The train can move only along railways and the bus can move only along roads.
You've been asked to plan out routes for the vehicles; each route can use any road/railway multiple times. One of the most important aspects to consider is safety — in order to avoid accidents at railway crossings, the train and the bus must not arrive at the same town (except town *n*) simultaneously.
Under these constraints, what is the minimum number of hours needed for both vehicles to reach town *n* (the maximum of arrival times of the bus and the train)? Note, that bus and train are not required to arrive to the town *n* at the same moment of time, but are allowed to do so. | The first line of the input contains two integers *n* and *m* (2<=≤<=*n*<=≤<=400, 0<=≤<=*m*<=≤<=*n*(*n*<=-<=1)<=/<=2) — the number of towns and the number of railways respectively.
Each of the next *m* lines contains two integers *u* and *v*, denoting a railway between towns *u* and *v* (1<=≤<=*u*,<=*v*<=≤<=*n*, *u*<=≠<=*v*).
You may assume that there is at most one railway connecting any two towns. | Output one integer — the smallest possible time of the later vehicle's arrival in town *n*. If it's impossible for at least one of the vehicles to reach town *n*, output <=-<=1. | [
"4 2\n1 3\n3 4\n",
"4 6\n1 2\n1 3\n1 4\n2 3\n2 4\n3 4\n",
"5 5\n4 2\n3 5\n4 5\n5 1\n1 2\n"
] | [
"2\n",
"-1\n",
"3\n"
] | In the first sample, the train can take the route <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7c0aa60a06309ef607b7159fd7f3687ea0d943ce.png" style="max-width: 100.0%;max-height: 100.0%;"/> and the bus can take the route <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a26c2f3e93c9d9be6c21cb5d2bd6ac1f99f4ff55.png" style="max-width: 100.0%;max-height: 100.0%;"/>. Note that they can arrive at town 4 at the same time.
In the second sample, Absurdistan is ruled by railwaymen. There are no roads, so there's no way for the bus to reach town 4. | 500 | [
{
"input": "4 2\n1 3\n3 4",
"output": "2"
},
{
"input": "4 6\n1 2\n1 3\n1 4\n2 3\n2 4\n3 4",
"output": "-1"
},
{
"input": "5 5\n4 2\n3 5\n4 5\n5 1\n1 2",
"output": "3"
},
{
"input": "5 4\n1 2\n3 2\n3 4\n5 4",
"output": "4"
},
{
"input": "3 1\n1 2",
"output": "... | 1,587,881,038 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 108 | 0 | n, m = map(int, input().split())
b = [[j for j in range(1,n+1) if j != i+1] for i in range(n)]
b.insert(0,[])
t = [[] for i in range(n+1)]
for _ in range(m):
u, v = map(int, input().split())
b[u].remove(v)
b[v].remove(u)
t[u].append(v)
t[v].append(u)
def find_shorteset_path(n, start, des, adj):
queue = [(start,0)]
visited = [False for i in range(n+1)]
visited[start] = True
while queue != []:
v = queue[0]
if v[0] == des:
return v[1]
for neig in adj[v[0]]:
if not visited[neig]:
visited[neig]=True
queue.append((neig, v[1]+1))
del queue[0]
print(queue)
print(visited)
return False
print(b)
bus_sol = find_shorteset_path(n, 1, n, b)
print(t)
train_sol = find_shorteset_path(n, 1, n, t)
if train_sol and bus_sol:
print(max(train_sol, bus_sol))
else:
print(-1) | Title: The Two Routes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In Absurdistan, there are *n* towns (numbered 1 through *n*) and *m* bidirectional railways. There is also an absurdly simple road network — for each pair of different towns *x* and *y*, there is a bidirectional road between towns *x* and *y* if and only if there is no railway between them. Travelling to a different town using one railway or one road always takes exactly one hour.
A train and a bus leave town 1 at the same time. They both have the same destination, town *n*, and don't make any stops on the way (but they can wait in town *n*). The train can move only along railways and the bus can move only along roads.
You've been asked to plan out routes for the vehicles; each route can use any road/railway multiple times. One of the most important aspects to consider is safety — in order to avoid accidents at railway crossings, the train and the bus must not arrive at the same town (except town *n*) simultaneously.
Under these constraints, what is the minimum number of hours needed for both vehicles to reach town *n* (the maximum of arrival times of the bus and the train)? Note, that bus and train are not required to arrive to the town *n* at the same moment of time, but are allowed to do so.
Input Specification:
The first line of the input contains two integers *n* and *m* (2<=≤<=*n*<=≤<=400, 0<=≤<=*m*<=≤<=*n*(*n*<=-<=1)<=/<=2) — the number of towns and the number of railways respectively.
Each of the next *m* lines contains two integers *u* and *v*, denoting a railway between towns *u* and *v* (1<=≤<=*u*,<=*v*<=≤<=*n*, *u*<=≠<=*v*).
You may assume that there is at most one railway connecting any two towns.
Output Specification:
Output one integer — the smallest possible time of the later vehicle's arrival in town *n*. If it's impossible for at least one of the vehicles to reach town *n*, output <=-<=1.
Demo Input:
['4 2\n1 3\n3 4\n', '4 6\n1 2\n1 3\n1 4\n2 3\n2 4\n3 4\n', '5 5\n4 2\n3 5\n4 5\n5 1\n1 2\n']
Demo Output:
['2\n', '-1\n', '3\n']
Note:
In the first sample, the train can take the route <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7c0aa60a06309ef607b7159fd7f3687ea0d943ce.png" style="max-width: 100.0%;max-height: 100.0%;"/> and the bus can take the route <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a26c2f3e93c9d9be6c21cb5d2bd6ac1f99f4ff55.png" style="max-width: 100.0%;max-height: 100.0%;"/>. Note that they can arrive at town 4 at the same time.
In the second sample, Absurdistan is ruled by railwaymen. There are no roads, so there's no way for the bus to reach town 4. | ```python
n, m = map(int, input().split())
b = [[j for j in range(1,n+1) if j != i+1] for i in range(n)]
b.insert(0,[])
t = [[] for i in range(n+1)]
for _ in range(m):
u, v = map(int, input().split())
b[u].remove(v)
b[v].remove(u)
t[u].append(v)
t[v].append(u)
def find_shorteset_path(n, start, des, adj):
queue = [(start,0)]
visited = [False for i in range(n+1)]
visited[start] = True
while queue != []:
v = queue[0]
if v[0] == des:
return v[1]
for neig in adj[v[0]]:
if not visited[neig]:
visited[neig]=True
queue.append((neig, v[1]+1))
del queue[0]
print(queue)
print(visited)
return False
print(b)
bus_sol = find_shorteset_path(n, 1, n, b)
print(t)
train_sol = find_shorteset_path(n, 1, n, t)
if train_sol and bus_sol:
print(max(train_sol, bus_sol))
else:
print(-1)
``` | 0 | |
52 | A | 123-sequence | PROGRAMMING | 900 | [
"implementation"
] | A. 123-sequence | 2 | 256 | There is a given sequence of integers *a*1,<=*a*2,<=...,<=*a**n*, where every number is from 1 to 3 inclusively. You have to replace the minimum number of numbers in it so that all the numbers in the sequence are equal to each other. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=106). The second line contains a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=3). | Print the minimum number of replacements needed to be performed to make all the numbers in the sequence equal. | [
"9\n1 3 2 2 2 1 1 2 3\n"
] | [
"5\n"
] | In the example all the numbers equal to 1 and 3 should be replaced by 2. | 500 | [
{
"input": "9\n1 3 2 2 2 1 1 2 3",
"output": "5"
},
{
"input": "6\n3 3 2 2 1 3",
"output": "3"
},
{
"input": "12\n3 1 3 1 2 1 3 2 2 1 2 1",
"output": "7"
},
{
"input": "15\n3 2 1 1 1 1 3 2 2 3 3 1 2 3 2",
"output": "10"
},
{
"input": "2\n2 1",
"output": "1"
... | 1,639,054,388 | 2,147,483,647 | Python 3 | OK | TESTS | 23 | 374 | 11,059,200 | n = int(input())
s = input().split()
max_ = 0
for el in range(1,4):
if s.count(str(el)) > max_:
max_ = s.count(str(el))
print(len(s) - max_) | Title: 123-sequence
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
There is a given sequence of integers *a*1,<=*a*2,<=...,<=*a**n*, where every number is from 1 to 3 inclusively. You have to replace the minimum number of numbers in it so that all the numbers in the sequence are equal to each other.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=106). The second line contains a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=3).
Output Specification:
Print the minimum number of replacements needed to be performed to make all the numbers in the sequence equal.
Demo Input:
['9\n1 3 2 2 2 1 1 2 3\n']
Demo Output:
['5\n']
Note:
In the example all the numbers equal to 1 and 3 should be replaced by 2. | ```python
n = int(input())
s = input().split()
max_ = 0
for el in range(1,4):
if s.count(str(el)) > max_:
max_ = s.count(str(el))
print(len(s) - max_)
``` | 3.885901 |
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"... | 1,658,755,069 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 31 | 0 | n = int(input())
m = int(input())
a = int(input())
area = n * m
tileArea = a * a
vTiles = round(n / a)
hTiles = round(m / a)
numberOfTiles = vTiles + hTiles
print(numberOfTiles) | 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 = int(input())
m = int(input())
a = int(input())
area = n * m
tileArea = a * a
vTiles = round(n / a)
hTiles = round(m / a)
numberOfTiles = vTiles + hTiles
print(numberOfTiles)
``` | -1 |
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"... | 1,654,023,926 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 20 | 46 | 0 | from math import ceil
n,m,a=map(int, input().split())
print(ceil(n/a)*ceil(m/a)) | 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
from math import ceil
n,m,a=map(int, input().split())
print(ceil(n/a)*ceil(m/a))
``` | 3.977 |
849 | B | Tell Your World | PROGRAMMING | 1,600 | [
"brute force",
"geometry"
] | null | null | Connect the countless points with lines, till we reach the faraway yonder.
There are *n* points on a coordinate plane, the *i*-th of which being (*i*,<=*y**i*).
Determine whether it's possible to draw two parallel and non-overlapping lines, such that every point in the set lies on exactly one of them, and each of them passes through at least one point in the set. | The first line of input contains a positive integer *n* (3<=≤<=*n*<=≤<=1<=000) — the number of points.
The second line contains *n* space-separated integers *y*1,<=*y*2,<=...,<=*y**n* (<=-<=109<=≤<=*y**i*<=≤<=109) — the vertical coordinates of each point. | Output "Yes" (without quotes) if it's possible to fulfill the requirements, and "No" otherwise.
You can print each letter in any case (upper or lower). | [
"5\n7 5 8 6 9\n",
"5\n-1 -2 0 0 -5\n",
"5\n5 4 3 2 1\n",
"5\n1000000000 0 0 0 0\n"
] | [
"Yes\n",
"No\n",
"No\n",
"Yes\n"
] | In the first example, there are five points: (1, 7), (2, 5), (3, 8), (4, 6) and (5, 9). It's possible to draw a line that passes through points 1, 3, 5, and another one that passes through points 2, 4 and is parallel to the first one.
In the second example, while it's possible to draw two lines that cover all points, they cannot be made parallel.
In the third example, it's impossible to satisfy both requirements at the same time. | 1,000 | [
{
"input": "5\n7 5 8 6 9",
"output": "Yes"
},
{
"input": "5\n-1 -2 0 0 -5",
"output": "No"
},
{
"input": "5\n5 4 3 2 1",
"output": "No"
},
{
"input": "5\n1000000000 0 0 0 0",
"output": "Yes"
},
{
"input": "5\n1000000000 1 0 -999999999 -1000000000",
"output": "... | 1,504,275,763 | 2,863 | PyPy 3 | WRONG_ANSWER | PRETESTS | 6 | 93 | 0 | import sys
def main():
n = int(input())
s = list(map(int, sys.stdin.readline().split()))
p1 = (0, 0)
for z in range(2):
for i in range(1, n):
k = (s[i] - s[0]) / i
oka = True
okp = False
for j in range(1, n):
if i == j:
continue
c = (s[j] - s[0]) / j
if c != k:
if not okp:
p1 = (j, s[j])
okp = True
else:
k2 = (s[j] - p1[1]) / (j - p1[0])
if k!=k2:
oka = False
break
if oka and okp:
print("Yes")
return
s[1],s[0] = s[0],s[1]
print("No")
main()
| Title: Tell Your World
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Connect the countless points with lines, till we reach the faraway yonder.
There are *n* points on a coordinate plane, the *i*-th of which being (*i*,<=*y**i*).
Determine whether it's possible to draw two parallel and non-overlapping lines, such that every point in the set lies on exactly one of them, and each of them passes through at least one point in the set.
Input Specification:
The first line of input contains a positive integer *n* (3<=≤<=*n*<=≤<=1<=000) — the number of points.
The second line contains *n* space-separated integers *y*1,<=*y*2,<=...,<=*y**n* (<=-<=109<=≤<=*y**i*<=≤<=109) — the vertical coordinates of each point.
Output Specification:
Output "Yes" (without quotes) if it's possible to fulfill the requirements, and "No" otherwise.
You can print each letter in any case (upper or lower).
Demo Input:
['5\n7 5 8 6 9\n', '5\n-1 -2 0 0 -5\n', '5\n5 4 3 2 1\n', '5\n1000000000 0 0 0 0\n']
Demo Output:
['Yes\n', 'No\n', 'No\n', 'Yes\n']
Note:
In the first example, there are five points: (1, 7), (2, 5), (3, 8), (4, 6) and (5, 9). It's possible to draw a line that passes through points 1, 3, 5, and another one that passes through points 2, 4 and is parallel to the first one.
In the second example, while it's possible to draw two lines that cover all points, they cannot be made parallel.
In the third example, it's impossible to satisfy both requirements at the same time. | ```python
import sys
def main():
n = int(input())
s = list(map(int, sys.stdin.readline().split()))
p1 = (0, 0)
for z in range(2):
for i in range(1, n):
k = (s[i] - s[0]) / i
oka = True
okp = False
for j in range(1, n):
if i == j:
continue
c = (s[j] - s[0]) / j
if c != k:
if not okp:
p1 = (j, s[j])
okp = True
else:
k2 = (s[j] - p1[1]) / (j - p1[0])
if k!=k2:
oka = False
break
if oka and okp:
print("Yes")
return
s[1],s[0] = s[0],s[1]
print("No")
main()
``` | 0 | |
327 | A | Flipping Game | PROGRAMMING | 1,200 | [
"brute force",
"dp",
"implementation"
] | null | null | Iahub got bored, so he invented a game to be played on paper.
He writes *n* integers *a*1,<=*a*2,<=...,<=*a**n*. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices *i* and *j* (1<=≤<=*i*<=≤<=*j*<=≤<=*n*) and flips all values *a**k* for which their positions are in range [*i*,<=*j*] (that is *i*<=≤<=*k*<=≤<=*j*). Flip the value of *x* means to apply operation *x*<==<=1 - *x*.
The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub. | The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100). In the second line of the input there are *n* integers: *a*1,<=*a*2,<=...,<=*a**n*. It is guaranteed that each of those *n* values is either 0 or 1. | Print an integer — the maximal number of 1s that can be obtained after exactly one move. | [
"5\n1 0 0 1 0\n",
"4\n1 0 0 1\n"
] | [
"4\n",
"4\n"
] | In the first case, flip the segment from 2 to 5 (*i* = 2, *j* = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1].
In the second case, flipping only the second and the third element (*i* = 2, *j* = 3) will turn all numbers into 1. | 500 | [
{
"input": "5\n1 0 0 1 0",
"output": "4"
},
{
"input": "4\n1 0 0 1",
"output": "4"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "8\n1 0 0 0 1 0 0 0",
"output": "7"
},
{
"input": "18\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... | 1,685,207,370 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 2 | 92 | 0 | def main():
n=int(input())
a=list(map(int,input().split()))
q,w=0,0
for i in range(n):
if a[i]==1:
q=i+1
break
for i in range(n):
if a[i]==1:
w=i+1
print(w-(q-1))
main() | Title: Flipping Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Iahub got bored, so he invented a game to be played on paper.
He writes *n* integers *a*1,<=*a*2,<=...,<=*a**n*. Each of those integers can be either 0 or 1. He's allowed to do exactly one move: he chooses two indices *i* and *j* (1<=≤<=*i*<=≤<=*j*<=≤<=*n*) and flips all values *a**k* for which their positions are in range [*i*,<=*j*] (that is *i*<=≤<=*k*<=≤<=*j*). Flip the value of *x* means to apply operation *x*<==<=1 - *x*.
The goal of the game is that after exactly one move to obtain the maximum number of ones. Write a program to solve the little game of Iahub.
Input Specification:
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100). In the second line of the input there are *n* integers: *a*1,<=*a*2,<=...,<=*a**n*. It is guaranteed that each of those *n* values is either 0 or 1.
Output Specification:
Print an integer — the maximal number of 1s that can be obtained after exactly one move.
Demo Input:
['5\n1 0 0 1 0\n', '4\n1 0 0 1\n']
Demo Output:
['4\n', '4\n']
Note:
In the first case, flip the segment from 2 to 5 (*i* = 2, *j* = 5). That flip changes the sequence, it becomes: [1 1 1 0 1]. So, it contains four ones. There is no way to make the whole sequence equal to [1 1 1 1 1].
In the second case, flipping only the second and the third element (*i* = 2, *j* = 3) will turn all numbers into 1. | ```python
def main():
n=int(input())
a=list(map(int,input().split()))
q,w=0,0
for i in range(n):
if a[i]==1:
q=i+1
break
for i in range(n):
if a[i]==1:
w=i+1
print(w-(q-1))
main()
``` | 0 | |
985 | C | Liebig's Barrels | PROGRAMMING | 1,500 | [
"greedy"
] | null | null | You have *m*<==<=*n*·*k* wooden staves. The *i*-th stave has length *a**i*. You have to assemble *n* barrels consisting of *k* staves each, you can use any *k* staves to construct a barrel. Each stave must belong to exactly one barrel.
Let volume *v**j* of barrel *j* be equal to the length of the minimal stave in it.
You want to assemble exactly *n* barrels with the maximal total sum of volumes. But you have to make them equal enough, so a difference between volumes of any pair of the resulting barrels must not exceed *l*, i.e. |*v**x*<=-<=*v**y*|<=≤<=*l* for any 1<=≤<=*x*<=≤<=*n* and 1<=≤<=*y*<=≤<=*n*.
Print maximal total sum of volumes of equal enough barrels or 0 if it's impossible to satisfy the condition above. | The first line contains three space-separated integers *n*, *k* and *l* (1<=≤<=*n*,<=*k*<=≤<=105, 1<=≤<=*n*·*k*<=≤<=105, 0<=≤<=*l*<=≤<=109).
The second line contains *m*<==<=*n*·*k* space-separated integers *a*1,<=*a*2,<=...,<=*a**m* (1<=≤<=*a**i*<=≤<=109) — lengths of staves. | Print single integer — maximal total sum of the volumes of barrels or 0 if it's impossible to construct exactly *n* barrels satisfying the condition |*v**x*<=-<=*v**y*|<=≤<=*l* for any 1<=≤<=*x*<=≤<=*n* and 1<=≤<=*y*<=≤<=*n*. | [
"4 2 1\n2 2 1 2 3 2 2 3\n",
"2 1 0\n10 10\n",
"1 2 1\n5 2\n",
"3 2 1\n1 2 3 4 5 6\n"
] | [
"7\n",
"20\n",
"2\n",
"0\n"
] | In the first example you can form the following barrels: [1, 2], [2, 2], [2, 3], [2, 3].
In the second example you can form the following barrels: [10], [10].
In the third example you can form the following barrels: [2, 5].
In the fourth example difference between volumes of barrels in any partition is at least 2 so it is impossible to make barrels equal enough. | 0 | [
{
"input": "4 2 1\n2 2 1 2 3 2 2 3",
"output": "7"
},
{
"input": "2 1 0\n10 10",
"output": "20"
},
{
"input": "1 2 1\n5 2",
"output": "2"
},
{
"input": "3 2 1\n1 2 3 4 5 6",
"output": "0"
},
{
"input": "10 3 189\n267 697 667 4 52 128 85 616 142 344 413 660 962 194... | 1,527,171,997 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 6 | 171 | 7,884,800 | n,k,l = map(int, input().split())
a = sorted(map(int, input().split()))
al = a[0] + l
from bisect import bisect
ni = bisect(a, al)
if n > ni:
print(0)
exit(0)
ni = min(ni, (n-1)*k)
s = [min(k*i, ni) for i in range(n)]
for i in range(n-1, 0, -1):
if s[i] <= s[n-1]:
s[n-1] = s[i]-1
else:
break
print(sum(a[s1] for s1 in s))
| Title: Liebig's Barrels
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have *m*<==<=*n*·*k* wooden staves. The *i*-th stave has length *a**i*. You have to assemble *n* barrels consisting of *k* staves each, you can use any *k* staves to construct a barrel. Each stave must belong to exactly one barrel.
Let volume *v**j* of barrel *j* be equal to the length of the minimal stave in it.
You want to assemble exactly *n* barrels with the maximal total sum of volumes. But you have to make them equal enough, so a difference between volumes of any pair of the resulting barrels must not exceed *l*, i.e. |*v**x*<=-<=*v**y*|<=≤<=*l* for any 1<=≤<=*x*<=≤<=*n* and 1<=≤<=*y*<=≤<=*n*.
Print maximal total sum of volumes of equal enough barrels or 0 if it's impossible to satisfy the condition above.
Input Specification:
The first line contains three space-separated integers *n*, *k* and *l* (1<=≤<=*n*,<=*k*<=≤<=105, 1<=≤<=*n*·*k*<=≤<=105, 0<=≤<=*l*<=≤<=109).
The second line contains *m*<==<=*n*·*k* space-separated integers *a*1,<=*a*2,<=...,<=*a**m* (1<=≤<=*a**i*<=≤<=109) — lengths of staves.
Output Specification:
Print single integer — maximal total sum of the volumes of barrels or 0 if it's impossible to construct exactly *n* barrels satisfying the condition |*v**x*<=-<=*v**y*|<=≤<=*l* for any 1<=≤<=*x*<=≤<=*n* and 1<=≤<=*y*<=≤<=*n*.
Demo Input:
['4 2 1\n2 2 1 2 3 2 2 3\n', '2 1 0\n10 10\n', '1 2 1\n5 2\n', '3 2 1\n1 2 3 4 5 6\n']
Demo Output:
['7\n', '20\n', '2\n', '0\n']
Note:
In the first example you can form the following barrels: [1, 2], [2, 2], [2, 3], [2, 3].
In the second example you can form the following barrels: [10], [10].
In the third example you can form the following barrels: [2, 5].
In the fourth example difference between volumes of barrels in any partition is at least 2 so it is impossible to make barrels equal enough. | ```python
n,k,l = map(int, input().split())
a = sorted(map(int, input().split()))
al = a[0] + l
from bisect import bisect
ni = bisect(a, al)
if n > ni:
print(0)
exit(0)
ni = min(ni, (n-1)*k)
s = [min(k*i, ni) for i in range(n)]
for i in range(n-1, 0, -1):
if s[i] <= s[n-1]:
s[n-1] = s[i]-1
else:
break
print(sum(a[s1] for s1 in s))
``` | 0 |
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