contestId int64 0 1.01k | index stringclasses 40
values | name stringlengths 2 54 | type stringclasses 2
values | rating int64 0 3.4k | tags listlengths 0 7 | title stringclasses 393
values | time-limit stringclasses 7
values | memory-limit stringclasses 6
values | problem-description stringlengths 0 2.97k | input-specification stringlengths 4 1.87k | output-specification stringlengths 4 1.12k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | points float64 0 3.5k | test_cases listlengths 0 402 | creationTimeSeconds int64 1.37B 1.7B | relativeTimeSeconds int64 8 2.15B | programmingLanguage stringclasses 3
values | verdict stringclasses 1
value | testset stringclasses 9
values | passedTestCount int64 1 402 | timeConsumedMillis int64 15 8.06k | memoryConsumedBytes int64 0 514M | code stringlengths 11 61.4k | prompt stringlengths 297 7.35k | response stringlengths 25 61.4k | score float64 2.82 3.99 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
22 | A | Second Order Statistics | PROGRAMMING | 800 | [
"brute force"
] | A. Second Order Statistics | 2 | 256 | Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. | The first input line contains integer *n* (1<=≤<=*n*<=≤<=100) — amount of numbers in the sequence. The second line contains *n* space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. | If the given sequence has the second order statistics, output this order statistics, otherwise output NO. | [
"4\n1 2 2 -4\n",
"5\n1 2 3 1 1\n"
] | [
"1\n",
"2\n"
] | none | 0 | [
{
"input": "4\n1 2 2 -4",
"output": "1"
},
{
"input": "5\n1 2 3 1 1",
"output": "2"
},
{
"input": "1\n28",
"output": "NO"
},
{
"input": "2\n-28 12",
"output": "12"
},
{
"input": "3\n-83 40 -80",
"output": "-80"
},
{
"input": "8\n93 77 -92 26 21 -48 53 ... | 1,587,493,626 | 2,147,483,647 | Python 3 | OK | TESTS | 31 | 186 | 0 | b=int(input())
l=[int(t) for t in input().split()]
l.sort()
t=0
a=[0]
for i in range (1,b):
if l[i]>l[0]:
t=l[i]
a.append(t)
break
if len(a)==2:
print(a[1])
else:
print("NO")
| Title: Second Order Statistics
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem.
Input Specification:
The first input line contains integer *n* (1<=≤<=*n*<=≤<=100) — amount of numbers in the sequence. The second line contains *n* space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value.
Output Specification:
If the given sequence has the second order statistics, output this order statistics, otherwise output NO.
Demo Input:
['4\n1 2 2 -4\n', '5\n1 2 3 1 1\n']
Demo Output:
['1\n', '2\n']
Note:
none | ```python
b=int(input())
l=[int(t) for t in input().split()]
l.sort()
t=0
a=[0]
for i in range (1,b):
if l[i]>l[0]:
t=l[i]
a.append(t)
break
if len(a)==2:
print(a[1])
else:
print("NO")
``` | 3.9535 |
139 | A | Petr and Book | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | One Sunday Petr went to a bookshop and bought a new book on sports programming. The book had exactly *n* pages.
Petr decided to start reading it starting from the next day, that is, from Monday. Petr's got a very tight schedule and for each day of the week he knows how many pages he will be able to read on that day. Some days are so busy that Petr will have no time to read whatsoever. However, we know that he will be able to read at least one page a week.
Assuming that Petr will not skip days and will read as much as he can every day, determine on which day of the week he will read the last page of the book. | The first input line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of pages in the book.
The second line contains seven non-negative space-separated integers that do not exceed 1000 — those integers represent how many pages Petr can read on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday correspondingly. It is guaranteed that at least one of those numbers is larger than zero. | Print a single number — the number of the day of the week, when Petr will finish reading the book. The days of the week are numbered starting with one in the natural order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. | [
"100\n15 20 20 15 10 30 45\n",
"2\n1 0 0 0 0 0 0\n"
] | [
"6\n",
"1\n"
] | Note to the first sample:
By the end of Monday and therefore, by the beginning of Tuesday Petr has 85 pages left. He has 65 pages left by Wednesday, 45 by Thursday, 30 by Friday, 20 by Saturday and on Saturday Petr finishes reading the book (and he also has time to read 10 pages of something else).
Note to the second sample:
On Monday of the first week Petr will read the first page. On Monday of the second week Petr will read the second page and will finish reading the book. | 500 | [
{
"input": "100\n15 20 20 15 10 30 45",
"output": "6"
},
{
"input": "2\n1 0 0 0 0 0 0",
"output": "1"
},
{
"input": "100\n100 200 100 200 300 400 500",
"output": "1"
},
{
"input": "3\n1 1 1 1 1 1 1",
"output": "3"
},
{
"input": "1\n1 1 1 1 1 1 1",
"output": "1... | 1,675,520,205 | 2,147,483,647 | Python 3 | OK | TESTS | 49 | 92 | 4,300,800 | # LUOGU_RID: 101469290
n, *a = map(int, open(0).read().split())
s = p = 0
while s < n:
s += a[p]
p = (p + 1) % 7
print((p - 1) % 7 + 1) | Title: Petr and Book
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One Sunday Petr went to a bookshop and bought a new book on sports programming. The book had exactly *n* pages.
Petr decided to start reading it starting from the next day, that is, from Monday. Petr's got a very tight schedule and for each day of the week he knows how many pages he will be able to read on that day. Some days are so busy that Petr will have no time to read whatsoever. However, we know that he will be able to read at least one page a week.
Assuming that Petr will not skip days and will read as much as he can every day, determine on which day of the week he will read the last page of the book.
Input Specification:
The first input line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of pages in the book.
The second line contains seven non-negative space-separated integers that do not exceed 1000 — those integers represent how many pages Petr can read on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday correspondingly. It is guaranteed that at least one of those numbers is larger than zero.
Output Specification:
Print a single number — the number of the day of the week, when Petr will finish reading the book. The days of the week are numbered starting with one in the natural order: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Demo Input:
['100\n15 20 20 15 10 30 45\n', '2\n1 0 0 0 0 0 0\n']
Demo Output:
['6\n', '1\n']
Note:
Note to the first sample:
By the end of Monday and therefore, by the beginning of Tuesday Petr has 85 pages left. He has 65 pages left by Wednesday, 45 by Thursday, 30 by Friday, 20 by Saturday and on Saturday Petr finishes reading the book (and he also has time to read 10 pages of something else).
Note to the second sample:
On Monday of the first week Petr will read the first page. On Monday of the second week Petr will read the second page and will finish reading the book. | ```python
# LUOGU_RID: 101469290
n, *a = map(int, open(0).read().split())
s = p = 0
while s < n:
s += a[p]
p = (p + 1) % 7
print((p - 1) % 7 + 1)
``` | 3 | |
44 | A | Indian Summer | PROGRAMMING | 900 | [
"implementation"
] | A. Indian Summer | 2 | 256 | Indian summer is such a beautiful time of the year! A girl named Alyona is walking in the forest and picking a bouquet from fallen leaves. Alyona is very choosy — she doesn't take a leaf if it matches the color and the species of the tree of one of the leaves she already has. Find out how many leaves Alyona has picked. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of leaves Alyona has found. The next *n* lines contain the leaves' descriptions. Each leaf is characterized by the species of the tree it has fallen from and by the color. The species of the trees and colors are given in names, consisting of no more than 10 lowercase Latin letters. A name can not be an empty string. The species of a tree and the color are given in each line separated by a space. | Output the single number — the number of Alyona's leaves. | [
"5\nbirch yellow\nmaple red\nbirch yellow\nmaple yellow\nmaple green\n",
"3\noak yellow\noak yellow\noak yellow\n"
] | [
"4\n",
"1\n"
] | none | 0 | [
{
"input": "5\nbirch yellow\nmaple red\nbirch yellow\nmaple yellow\nmaple green",
"output": "4"
},
{
"input": "3\noak yellow\noak yellow\noak yellow",
"output": "1"
},
{
"input": "5\nxbnbkzn hp\nkaqkl vrgzbvqstu\nj aqidx\nhos gyul\nwefxmh tygpluae",
"output": "5"
},
{
"input"... | 1,538,224,553 | 2,147,483,647 | Python 3 | OK | TESTS | 29 | 248 | 102,400 | leaves = {}
n = int(input())
for i in range(n):
leaves[input()] = 1
print(len(leaves))
# 1538224606811
| Title: Indian Summer
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Indian summer is such a beautiful time of the year! A girl named Alyona is walking in the forest and picking a bouquet from fallen leaves. Alyona is very choosy — she doesn't take a leaf if it matches the color and the species of the tree of one of the leaves she already has. Find out how many leaves Alyona has picked.
Input Specification:
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of leaves Alyona has found. The next *n* lines contain the leaves' descriptions. Each leaf is characterized by the species of the tree it has fallen from and by the color. The species of the trees and colors are given in names, consisting of no more than 10 lowercase Latin letters. A name can not be an empty string. The species of a tree and the color are given in each line separated by a space.
Output Specification:
Output the single number — the number of Alyona's leaves.
Demo Input:
['5\nbirch yellow\nmaple red\nbirch yellow\nmaple yellow\nmaple green\n', '3\noak yellow\noak yellow\noak yellow\n']
Demo Output:
['4\n', '1\n']
Note:
none | ```python
leaves = {}
n = int(input())
for i in range(n):
leaves[input()] = 1
print(len(leaves))
# 1538224606811
``` | 3.937809 |
401 | C | Team | PROGRAMMING | 1,400 | [
"constructive algorithms",
"greedy",
"implementation"
] | null | null | Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork.
For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing numbers 1 and 0. The boys are very superstitious. They think that they can do well at the Olympiad if they begin with laying all the cards in a row so that:
- there wouldn't be a pair of any side-adjacent cards with zeroes in a row; - there wouldn't be a group of three consecutive cards containing numbers one.
Today Vanya brought *n* cards with zeroes and *m* cards with numbers one. The number of cards was so much that the friends do not know how to put all those cards in the described way. Help them find the required arrangement of the cards or else tell the guys that it is impossible to arrange cards in such a way. | The first line contains two integers: *n* (1<=≤<=*n*<=≤<=106) — the number of cards containing number 0; *m* (1<=≤<=*m*<=≤<=106) — the number of cards containing number 1. | In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1. | [
"1 2\n",
"4 8\n",
"4 10\n",
"1 5\n"
] | [
"101\n",
"110110110101\n",
"11011011011011\n",
"-1\n"
] | none | 1,500 | [
{
"input": "1 2",
"output": "101"
},
{
"input": "4 8",
"output": "110110110101"
},
{
"input": "4 10",
"output": "11011011011011"
},
{
"input": "1 5",
"output": "-1"
},
{
"input": "3 4",
"output": "1010101"
},
{
"input": "3 10",
"output": "-1"
},
... | 1,589,381,780 | 2,147,483,647 | PyPy 3 | OK | TESTS | 81 | 264 | 31,744,000 | from sys import stdin , stdout
x,y=map(int,stdin.readline().split())
if x==y:
print('10'*x)
elif x<y:
if y <= (2*x) +2:
if y >= 2 *x:
double = x
single= y - 2*x
# print(single,double)
res='110'* double + '1'*single
else:
double=y % x
single = x - double
res='110'* double + '10'*single
# print(single,double)
stdout.write(res + '\n')
else:
print(-1)
else:
if x > y + 1 or x < y-1:
print(-1)
else:
res= '0'*(x-y) + '10'*y
stdout.write(res + '\n') | Title: Team
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork.
For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing numbers 1 and 0. The boys are very superstitious. They think that they can do well at the Olympiad if they begin with laying all the cards in a row so that:
- there wouldn't be a pair of any side-adjacent cards with zeroes in a row; - there wouldn't be a group of three consecutive cards containing numbers one.
Today Vanya brought *n* cards with zeroes and *m* cards with numbers one. The number of cards was so much that the friends do not know how to put all those cards in the described way. Help them find the required arrangement of the cards or else tell the guys that it is impossible to arrange cards in such a way.
Input Specification:
The first line contains two integers: *n* (1<=≤<=*n*<=≤<=106) — the number of cards containing number 0; *m* (1<=≤<=*m*<=≤<=106) — the number of cards containing number 1.
Output Specification:
In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1.
Demo Input:
['1 2\n', '4 8\n', '4 10\n', '1 5\n']
Demo Output:
['101\n', '110110110101\n', '11011011011011\n', '-1\n']
Note:
none | ```python
from sys import stdin , stdout
x,y=map(int,stdin.readline().split())
if x==y:
print('10'*x)
elif x<y:
if y <= (2*x) +2:
if y >= 2 *x:
double = x
single= y - 2*x
# print(single,double)
res='110'* double + '1'*single
else:
double=y % x
single = x - double
res='110'* double + '10'*single
# print(single,double)
stdout.write(res + '\n')
else:
print(-1)
else:
if x > y + 1 or x < y-1:
print(-1)
else:
res= '0'*(x-y) + '10'*y
stdout.write(res + '\n')
``` | 3 | |
281 | A | Word Capitalization | PROGRAMMING | 800 | [
"implementation",
"strings"
] | null | null | Capitalization is writing a word with its first letter as a capital letter. Your task is to capitalize the given word.
Note, that during capitalization all the letters except the first one remains unchanged. | A single line contains a non-empty word. This word consists of lowercase and uppercase English letters. The length of the word will not exceed 103. | Output the given word after capitalization. | [
"ApPLe\n",
"konjac\n"
] | [
"ApPLe\n",
"Konjac\n"
] | none | 500 | [
{
"input": "ApPLe",
"output": "ApPLe"
},
{
"input": "konjac",
"output": "Konjac"
},
{
"input": "a",
"output": "A"
},
{
"input": "A",
"output": "A"
},
{
"input": "z",
"output": "Z"
},
{
"input": "ABACABA",
"output": "ABACABA"
},
{
"input": "... | 1,696,344,505 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 62 | 0 | word = input()
ans = word[:1].upper() + word[1:]
print(ans) | Title: Word Capitalization
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Capitalization is writing a word with its first letter as a capital letter. Your task is to capitalize the given word.
Note, that during capitalization all the letters except the first one remains unchanged.
Input Specification:
A single line contains a non-empty word. This word consists of lowercase and uppercase English letters. The length of the word will not exceed 103.
Output Specification:
Output the given word after capitalization.
Demo Input:
['ApPLe\n', 'konjac\n']
Demo Output:
['ApPLe\n', 'Konjac\n']
Note:
none | ```python
word = input()
ans = word[:1].upper() + word[1:]
print(ans)
``` | 3 | |
855 | A | Tom Riddle's Diary | PROGRAMMING | 800 | [
"brute force",
"implementation",
"strings"
] | null | null | Harry Potter is on a mission to destroy You-Know-Who's Horcruxes. The first Horcrux that he encountered in the Chamber of Secrets is Tom Riddle's diary. The diary was with Ginny and it forced her to open the Chamber of Secrets. Harry wants to know the different people who had ever possessed the diary to make sure they are not under its influence.
He has names of *n* people who possessed the diary in order. You need to tell, for each person, if he/she possessed the diary at some point before or not.
Formally, for a name *s**i* in the *i*-th line, output "YES" (without quotes) if there exists an index *j* such that *s**i*<==<=*s**j* and *j*<=<<=*i*, otherwise, output "NO" (without quotes). | First line of input contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of names in the list.
Next *n* lines each contain a string *s**i*, consisting of lowercase English letters. The length of each string is between 1 and 100. | Output *n* lines each containing either "YES" or "NO" (without quotes), depending on whether this string was already present in the stream or not.
You can print each letter in any case (upper or lower). | [
"6\ntom\nlucius\nginny\nharry\nginny\nharry\n",
"3\na\na\na\n"
] | [
"NO\nNO\nNO\nNO\nYES\nYES\n",
"NO\nYES\nYES\n"
] | In test case 1, for *i* = 5 there exists *j* = 3 such that *s*<sub class="lower-index">*i*</sub> = *s*<sub class="lower-index">*j*</sub> and *j* < *i*, which means that answer for *i* = 5 is "YES". | 500 | [
{
"input": "6\ntom\nlucius\nginny\nharry\nginny\nharry",
"output": "NO\nNO\nNO\nNO\nYES\nYES"
},
{
"input": "3\na\na\na",
"output": "NO\nYES\nYES"
},
{
"input": "1\nzn",
"output": "NO"
},
{
"input": "9\nliyzmbjwnzryjokufuxcqtzwworjeoxkbaqrujrhdidqdvwdfzilwszgnzglnnbogaclckfnb... | 1,651,938,750 | 2,147,483,647 | Python 3 | OK | TESTS | 55 | 46 | 0 | n=int(input())
k=[]
for i in range(n):
t=input()
if t not in k:
k.append(t)
print("NO")
else:
print("YES")
| Title: Tom Riddle's Diary
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Harry Potter is on a mission to destroy You-Know-Who's Horcruxes. The first Horcrux that he encountered in the Chamber of Secrets is Tom Riddle's diary. The diary was with Ginny and it forced her to open the Chamber of Secrets. Harry wants to know the different people who had ever possessed the diary to make sure they are not under its influence.
He has names of *n* people who possessed the diary in order. You need to tell, for each person, if he/she possessed the diary at some point before or not.
Formally, for a name *s**i* in the *i*-th line, output "YES" (without quotes) if there exists an index *j* such that *s**i*<==<=*s**j* and *j*<=<<=*i*, otherwise, output "NO" (without quotes).
Input Specification:
First line of input contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of names in the list.
Next *n* lines each contain a string *s**i*, consisting of lowercase English letters. The length of each string is between 1 and 100.
Output Specification:
Output *n* lines each containing either "YES" or "NO" (without quotes), depending on whether this string was already present in the stream or not.
You can print each letter in any case (upper or lower).
Demo Input:
['6\ntom\nlucius\nginny\nharry\nginny\nharry\n', '3\na\na\na\n']
Demo Output:
['NO\nNO\nNO\nNO\nYES\nYES\n', 'NO\nYES\nYES\n']
Note:
In test case 1, for *i* = 5 there exists *j* = 3 such that *s*<sub class="lower-index">*i*</sub> = *s*<sub class="lower-index">*j*</sub> and *j* < *i*, which means that answer for *i* = 5 is "YES". | ```python
n=int(input())
k=[]
for i in range(n):
t=input()
if t not in k:
k.append(t)
print("NO")
else:
print("YES")
``` | 3 | |
773 | B | Dynamic Problem Scoring | PROGRAMMING | 2,000 | [
"brute force",
"greedy"
] | null | null | Vasya and Petya take part in a Codeforces round. The round lasts for two hours and contains five problems.
For this round the dynamic problem scoring is used. If you were lucky not to participate in any Codeforces round with dynamic problem scoring, here is what it means. The maximum point value of the problem depends on the ratio of the number of participants who solved the problem to the total number of round participants. Everyone who made at least one submission is considered to be participating in the round.
Pay attention to the range bounds. For example, if 40 people are taking part in the round, and 10 of them solve a particular problem, then the solvers fraction is equal to 1<=/<=4, and the problem's maximum point value is equal to 1500.
If the problem's maximum point value is equal to *x*, then for each whole minute passed from the beginning of the contest to the moment of the participant's correct submission, the participant loses *x*<=/<=250 points. For example, if the problem's maximum point value is 2000, and the participant submits a correct solution to it 40 minutes into the round, this participant will be awarded with 2000·(1<=-<=40<=/<=250)<==<=1680 points for this problem.
There are *n* participants in the round, including Vasya and Petya. For each participant and each problem, the number of minutes which passed between the beginning of the contest and the submission of this participant to this problem is known. It's also possible that this participant made no submissions to this problem.
With two seconds until the end of the round, all participants' submissions have passed pretests, and not a single hack attempt has been made. Vasya believes that no more submissions or hack attempts will be made in the remaining two seconds, and every submission will pass the system testing.
Unfortunately, Vasya is a cheater. He has registered 109<=+<=7 new accounts for the round. Now Vasya can submit any of his solutions from these new accounts in order to change the maximum point values of the problems. Vasya can also submit any wrong solutions to any problems. Note that Vasya can not submit correct solutions to the problems he hasn't solved.
Vasya seeks to score strictly more points than Petya in the current round. Vasya has already prepared the scripts which allow to obfuscate his solutions and submit them into the system from any of the new accounts in just fractions of seconds. However, Vasya doesn't want to make his cheating too obvious, so he wants to achieve his goal while making submissions from the smallest possible number of new accounts.
Find the smallest number of new accounts Vasya needs in order to beat Petya (provided that Vasya's assumptions are correct), or report that Vasya can't achieve his goal. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=120) — the number of round participants, including Vasya and Petya.
Each of the next *n* lines contains five integers *a**i*,<=1,<=*a**i*,<=2...,<=*a**i*,<=5 (<=-<=1<=≤<=*a**i*,<=*j*<=≤<=119) — the number of minutes passed between the beginning of the round and the submission of problem *j* by participant *i*, or -1 if participant *i* hasn't solved problem *j*.
It is guaranteed that each participant has made at least one successful submission.
Vasya is listed as participant number 1, Petya is listed as participant number 2, all the other participants are listed in no particular order. | Output a single integer — the number of new accounts Vasya needs to beat Petya, or -1 if Vasya can't achieve his goal. | [
"2\n5 15 40 70 115\n50 45 40 30 15\n",
"3\n55 80 10 -1 -1\n15 -1 79 60 -1\n42 -1 13 -1 -1\n",
"5\n119 119 119 119 119\n0 0 0 0 -1\n20 65 12 73 77\n78 112 22 23 11\n1 78 60 111 62\n",
"4\n-1 20 40 77 119\n30 10 73 50 107\n21 29 -1 64 98\n117 65 -1 -1 -1\n"
] | [
"2\n",
"3\n",
"27\n",
"-1\n"
] | In the first example, Vasya's optimal strategy is to submit the solutions to the last three problems from two new accounts. In this case the first two problems will have the maximum point value of 1000, while the last three problems will have the maximum point value of 500. Vasya's score will be equal to 980 + 940 + 420 + 360 + 270 = 2970 points, while Petya will score just 800 + 820 + 420 + 440 + 470 = 2950 points.
In the second example, Vasya has to make a single unsuccessful submission to any problem from two new accounts, and a single successful submission to the first problem from the third new account. In this case, the maximum point values of the problems will be equal to 500, 1500, 1000, 1500, 3000. Vasya will score 2370 points, while Petya will score just 2294 points.
In the third example, Vasya can achieve his goal by submitting the solutions to the first four problems from 27 new accounts. The maximum point values of the problems will be equal to 500, 500, 500, 500, 2000. Thanks to the high cost of the fifth problem, Vasya will manage to beat Petya who solved the first four problems very quickly, but couldn't solve the fifth one. | 1,000 | [
{
"input": "2\n5 15 40 70 115\n50 45 40 30 15",
"output": "2"
},
{
"input": "3\n55 80 10 -1 -1\n15 -1 79 60 -1\n42 -1 13 -1 -1",
"output": "3"
},
{
"input": "5\n119 119 119 119 119\n0 0 0 0 -1\n20 65 12 73 77\n78 112 22 23 11\n1 78 60 111 62",
"output": "27"
},
{
"input": "4\... | 1,698,324,397 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 40 | 109 | 4,608,000 | n = int(input())
attempts = [list(map(int, input().split())) for _ in range(n)]
correct_attempts = [sum(attempt[i] >= 0 for attempt in attempts) for i in range(5)]
answer = -1
def calculate_power_penalty(power, minutes, n):
if power < 0:
return 0
for i in range(1, 7):
if minutes << i > n or i == 6:
return (250 - power) * i << 1
for i in range(10000):
penalty_first, penalty_second = 0, 0
for j in range(5):
if attempts[0][j] > attempts[1][j] and attempts[1][j] >= 0:
correct_attempts[j] += 1
penalty_first += calculate_power_penalty(attempts[0][j], correct_attempts[j], n + i)
penalty_second += calculate_power_penalty(attempts[1][j], correct_attempts[j], n + i)
if penalty_first > penalty_second:
answer = i
break
print(answer)# 1698324396.883597 | Title: Dynamic Problem Scoring
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya and Petya take part in a Codeforces round. The round lasts for two hours and contains five problems.
For this round the dynamic problem scoring is used. If you were lucky not to participate in any Codeforces round with dynamic problem scoring, here is what it means. The maximum point value of the problem depends on the ratio of the number of participants who solved the problem to the total number of round participants. Everyone who made at least one submission is considered to be participating in the round.
Pay attention to the range bounds. For example, if 40 people are taking part in the round, and 10 of them solve a particular problem, then the solvers fraction is equal to 1<=/<=4, and the problem's maximum point value is equal to 1500.
If the problem's maximum point value is equal to *x*, then for each whole minute passed from the beginning of the contest to the moment of the participant's correct submission, the participant loses *x*<=/<=250 points. For example, if the problem's maximum point value is 2000, and the participant submits a correct solution to it 40 minutes into the round, this participant will be awarded with 2000·(1<=-<=40<=/<=250)<==<=1680 points for this problem.
There are *n* participants in the round, including Vasya and Petya. For each participant and each problem, the number of minutes which passed between the beginning of the contest and the submission of this participant to this problem is known. It's also possible that this participant made no submissions to this problem.
With two seconds until the end of the round, all participants' submissions have passed pretests, and not a single hack attempt has been made. Vasya believes that no more submissions or hack attempts will be made in the remaining two seconds, and every submission will pass the system testing.
Unfortunately, Vasya is a cheater. He has registered 109<=+<=7 new accounts for the round. Now Vasya can submit any of his solutions from these new accounts in order to change the maximum point values of the problems. Vasya can also submit any wrong solutions to any problems. Note that Vasya can not submit correct solutions to the problems he hasn't solved.
Vasya seeks to score strictly more points than Petya in the current round. Vasya has already prepared the scripts which allow to obfuscate his solutions and submit them into the system from any of the new accounts in just fractions of seconds. However, Vasya doesn't want to make his cheating too obvious, so he wants to achieve his goal while making submissions from the smallest possible number of new accounts.
Find the smallest number of new accounts Vasya needs in order to beat Petya (provided that Vasya's assumptions are correct), or report that Vasya can't achieve his goal.
Input Specification:
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=120) — the number of round participants, including Vasya and Petya.
Each of the next *n* lines contains five integers *a**i*,<=1,<=*a**i*,<=2...,<=*a**i*,<=5 (<=-<=1<=≤<=*a**i*,<=*j*<=≤<=119) — the number of minutes passed between the beginning of the round and the submission of problem *j* by participant *i*, or -1 if participant *i* hasn't solved problem *j*.
It is guaranteed that each participant has made at least one successful submission.
Vasya is listed as participant number 1, Petya is listed as participant number 2, all the other participants are listed in no particular order.
Output Specification:
Output a single integer — the number of new accounts Vasya needs to beat Petya, or -1 if Vasya can't achieve his goal.
Demo Input:
['2\n5 15 40 70 115\n50 45 40 30 15\n', '3\n55 80 10 -1 -1\n15 -1 79 60 -1\n42 -1 13 -1 -1\n', '5\n119 119 119 119 119\n0 0 0 0 -1\n20 65 12 73 77\n78 112 22 23 11\n1 78 60 111 62\n', '4\n-1 20 40 77 119\n30 10 73 50 107\n21 29 -1 64 98\n117 65 -1 -1 -1\n']
Demo Output:
['2\n', '3\n', '27\n', '-1\n']
Note:
In the first example, Vasya's optimal strategy is to submit the solutions to the last three problems from two new accounts. In this case the first two problems will have the maximum point value of 1000, while the last three problems will have the maximum point value of 500. Vasya's score will be equal to 980 + 940 + 420 + 360 + 270 = 2970 points, while Petya will score just 800 + 820 + 420 + 440 + 470 = 2950 points.
In the second example, Vasya has to make a single unsuccessful submission to any problem from two new accounts, and a single successful submission to the first problem from the third new account. In this case, the maximum point values of the problems will be equal to 500, 1500, 1000, 1500, 3000. Vasya will score 2370 points, while Petya will score just 2294 points.
In the third example, Vasya can achieve his goal by submitting the solutions to the first four problems from 27 new accounts. The maximum point values of the problems will be equal to 500, 500, 500, 500, 2000. Thanks to the high cost of the fifth problem, Vasya will manage to beat Petya who solved the first four problems very quickly, but couldn't solve the fifth one. | ```python
n = int(input())
attempts = [list(map(int, input().split())) for _ in range(n)]
correct_attempts = [sum(attempt[i] >= 0 for attempt in attempts) for i in range(5)]
answer = -1
def calculate_power_penalty(power, minutes, n):
if power < 0:
return 0
for i in range(1, 7):
if minutes << i > n or i == 6:
return (250 - power) * i << 1
for i in range(10000):
penalty_first, penalty_second = 0, 0
for j in range(5):
if attempts[0][j] > attempts[1][j] and attempts[1][j] >= 0:
correct_attempts[j] += 1
penalty_first += calculate_power_penalty(attempts[0][j], correct_attempts[j], n + i)
penalty_second += calculate_power_penalty(attempts[1][j], correct_attempts[j], n + i)
if penalty_first > penalty_second:
answer = i
break
print(answer)# 1698324396.883597
``` | 3 | |
145 | A | Lucky Conversion | PROGRAMMING | 1,200 | [
"greedy",
"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 has two strings *a* and *b* of the same length *n*. The strings consist only of lucky digits. Petya can perform operations of two types:
- replace any one digit from string *a* by its opposite (i.e., replace 4 by 7 and 7 by 4); - swap any pair of digits in string *a*.
Petya is interested in the minimum number of operations that are needed to make string *a* equal to string *b*. Help him with the task. | The first and the second line contains strings *a* and *b*, correspondingly. Strings *a* and *b* have equal lengths and contain only lucky digits. The strings are not empty, their length does not exceed 105. | Print on the single line the single number — the minimum number of operations needed to convert string *a* into string *b*. | [
"47\n74\n",
"774\n744\n",
"777\n444\n"
] | [
"1\n",
"1\n",
"3\n"
] | In the first sample it is enough simply to swap the first and the second digit.
In the second sample we should replace the second digit with its opposite.
In the third number we should replace all three digits with their opposites. | 500 | [
{
"input": "47\n74",
"output": "1"
},
{
"input": "774\n744",
"output": "1"
},
{
"input": "777\n444",
"output": "3"
},
{
"input": "74747474\n77777777",
"output": "4"
},
{
"input": "444444444444\n777777777777",
"output": "12"
},
{
"input": "4744744447774... | 1,590,573,222 | 2,147,483,647 | Python 3 | OK | TESTS | 51 | 278 | 409,600 | a=input()
b=input()
fou=0; sev=0
for i in range(len(a)):
if a[i]!=b[i]:
if a[i]=='4': fou+=1
else: sev+=1
print(max(fou,sev)) | Title: Lucky Conversion
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 has two strings *a* and *b* of the same length *n*. The strings consist only of lucky digits. Petya can perform operations of two types:
- replace any one digit from string *a* by its opposite (i.e., replace 4 by 7 and 7 by 4); - swap any pair of digits in string *a*.
Petya is interested in the minimum number of operations that are needed to make string *a* equal to string *b*. Help him with the task.
Input Specification:
The first and the second line contains strings *a* and *b*, correspondingly. Strings *a* and *b* have equal lengths and contain only lucky digits. The strings are not empty, their length does not exceed 105.
Output Specification:
Print on the single line the single number — the minimum number of operations needed to convert string *a* into string *b*.
Demo Input:
['47\n74\n', '774\n744\n', '777\n444\n']
Demo Output:
['1\n', '1\n', '3\n']
Note:
In the first sample it is enough simply to swap the first and the second digit.
In the second sample we should replace the second digit with its opposite.
In the third number we should replace all three digits with their opposites. | ```python
a=input()
b=input()
fou=0; sev=0
for i in range(len(a)):
if a[i]!=b[i]:
if a[i]=='4': fou+=1
else: sev+=1
print(max(fou,sev))
``` | 3 | |
174 | B | File List | PROGRAMMING | 1,400 | [
"dp",
"greedy",
"implementation"
] | null | null | Eudokimus, a system administrator is in trouble again. As a result of an error in some script, a list of names of very important files has been damaged. Since they were files in the BerFS file system, it is known that each file name has a form "name.ext", where:
- name is a string consisting of lowercase Latin letters, its length is from 1 to 8 characters; - ext is a string consisting of lowercase Latin letters, its length is from 1 to 3 characters.
For example, "read.me", "example.txt" and "b.cpp" are valid file names and "version.info", "ntldr" and "contestdata.zip" are not.
Damage to the list meant that all the file names were recorded one after another, without any separators. So now Eudokimus has a single string.
Eudokimus needs to set everything right as soon as possible. He should divide the resulting string into parts so that each part would be a valid file name in BerFS. Since Eudokimus has already proved that he is not good at programming, help him. The resulting file list can contain the same file names. | The input data consists of a single string *s*, its length is from 1 to 4·105 characters. The string can contain only lowercase Latin letters ('a' - 'z') and periods ('.'). | In the first line print "YES" (without the quotes), if it is possible to divide *s* into parts as required. In this case, the following lines should contain the parts of the required partition, one per line in the order in which they appear in *s*. The required partition can contain the same file names. If there are multiple solutions, print any of them.
If the solution does not exist, then print in a single line "NO" (without the quotes). | [
"read.meexample.txtb.cpp\n",
"version.infontldrcontestdata.zip\n"
] | [
"YES\nread.m\neexample.t\nxtb.cpp\n",
"NO\n"
] | none | 1,000 | [
{
"input": "read.meexample.txtb.cpp",
"output": "YES\nread.m\neexample.t\nxtb.cpp"
},
{
"input": "version.infontldrcontestdata.zip",
"output": "NO"
},
{
"input": "thisis.text.txt",
"output": "YES\nthisis.t\next.txt"
},
{
"input": "oops.t",
"output": "YES\noops.t"
},
{... | 1,668,832,986 | 2,147,483,647 | PyPy 3 | OK | TESTS | 82 | 436 | 13,516,800 | # -*- coding: utf-8 -*-
"""
@Time ： 2022/11/19 12:27
@Auth ： BHLL
@File ：147B.py.py
@IDE ：PyCharm
@Motto:咕咕嘎嘎
"""
if __name__ == '__main__':
S = input()
t = S.split(".")
F = True
ans = []
if len(t)==1:
F = False
else:
# ans = []
pre = ""
n = len(t)
for i in range(n):
s = t[i]
if i==0:
if len(s)<1 or len(s)>8:
F = False
break
else:
pre = s
elif i==n-1:
if len(s)<1 or len(s)>3:
F = False
break
else:
ans.append(pre+'.'+s)
else:
if len(s)<2 or len(s)>11:
F = False
break
else:
endLen = max(1,len(s)-8)
end = s[:endLen]
ans.append(pre+'.'+end)
pre = s[endLen:]
if F is False:
print("NO")
else:
print("YES")
for item in ans:
print(item)
| Title: File List
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Eudokimus, a system administrator is in trouble again. As a result of an error in some script, a list of names of very important files has been damaged. Since they were files in the BerFS file system, it is known that each file name has a form "name.ext", where:
- name is a string consisting of lowercase Latin letters, its length is from 1 to 8 characters; - ext is a string consisting of lowercase Latin letters, its length is from 1 to 3 characters.
For example, "read.me", "example.txt" and "b.cpp" are valid file names and "version.info", "ntldr" and "contestdata.zip" are not.
Damage to the list meant that all the file names were recorded one after another, without any separators. So now Eudokimus has a single string.
Eudokimus needs to set everything right as soon as possible. He should divide the resulting string into parts so that each part would be a valid file name in BerFS. Since Eudokimus has already proved that he is not good at programming, help him. The resulting file list can contain the same file names.
Input Specification:
The input data consists of a single string *s*, its length is from 1 to 4·105 characters. The string can contain only lowercase Latin letters ('a' - 'z') and periods ('.').
Output Specification:
In the first line print "YES" (without the quotes), if it is possible to divide *s* into parts as required. In this case, the following lines should contain the parts of the required partition, one per line in the order in which they appear in *s*. The required partition can contain the same file names. If there are multiple solutions, print any of them.
If the solution does not exist, then print in a single line "NO" (without the quotes).
Demo Input:
['read.meexample.txtb.cpp\n', 'version.infontldrcontestdata.zip\n']
Demo Output:
['YES\nread.m\neexample.t\nxtb.cpp\n', 'NO\n']
Note:
none | ```python
# -*- coding: utf-8 -*-
"""
@Time ： 2022/11/19 12:27
@Auth ： BHLL
@File ：147B.py.py
@IDE ：PyCharm
@Motto:咕咕嘎嘎
"""
if __name__ == '__main__':
S = input()
t = S.split(".")
F = True
ans = []
if len(t)==1:
F = False
else:
# ans = []
pre = ""
n = len(t)
for i in range(n):
s = t[i]
if i==0:
if len(s)<1 or len(s)>8:
F = False
break
else:
pre = s
elif i==n-1:
if len(s)<1 or len(s)>3:
F = False
break
else:
ans.append(pre+'.'+s)
else:
if len(s)<2 or len(s)>11:
F = False
break
else:
endLen = max(1,len(s)-8)
end = s[:endLen]
ans.append(pre+'.'+end)
pre = s[endLen:]
if F is False:
print("NO")
else:
print("YES")
for item in ans:
print(item)
``` | 3 | |
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... | 1,680,511,115 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 92 | 0 | LOCAL=False
if LOCAL:
input_file = open('input.txt')
def read():
if LOCAL:
return input_file.readline()
return input()
M, N = map(int, read().split())
b = M*N
d = 2*1
print(b//d)
| 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
LOCAL=False
if LOCAL:
input_file = open('input.txt')
def read():
if LOCAL:
return input_file.readline()
return input()
M, N = map(int, read().split())
b = M*N
d = 2*1
print(b//d)
``` | 3.977 |
299 | B | Ksusha the Squirrel | PROGRAMMING | 900 | [
"brute force",
"implementation"
] | null | null | Ksusha the Squirrel is standing at the beginning of a straight road, divided into *n* sectors. The sectors are numbered 1 to *n*, from left to right. Initially, Ksusha stands in sector 1.
Ksusha wants to walk to the end of the road, that is, get to sector *n*. Unfortunately, there are some rocks on the road. We know that Ksusha hates rocks, so she doesn't want to stand in sectors that have rocks.
Ksusha the squirrel keeps fit. She can jump from sector *i* to any of the sectors *i*<=+<=1,<=*i*<=+<=2,<=...,<=*i*<=+<=*k*.
Help Ksusha! Given the road description, say if she can reach the end of the road (note, she cannot stand on a rock)? | The first line contains two integers *n* and *k* (2<=≤<=*n*<=≤<=3·105,<=1<=≤<=*k*<=≤<=3·105). The next line contains *n* characters — the description of the road: the *i*-th character equals ".", if the *i*-th sector contains no rocks. Otherwise, it equals "#".
It is guaranteed that the first and the last characters equal ".". | Print "YES" (without the quotes) if Ksusha can reach the end of the road, otherwise print "NO" (without the quotes). | [
"2 1\n..\n",
"5 2\n.#.#.\n",
"7 3\n.#.###.\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | none | 1,000 | [
{
"input": "2 1\n..",
"output": "YES"
},
{
"input": "5 2\n.#.#.",
"output": "YES"
},
{
"input": "7 3\n.#.###.",
"output": "NO"
},
{
"input": "2 200\n..",
"output": "YES"
},
{
"input": "2 1\n..",
"output": "YES"
},
{
"input": "2 2\n..",
"output": "Y... | 1,593,012,875 | 2,147,483,647 | PyPy 3 | OK | TESTS | 33 | 340 | 23,142,400 | n,k = map(int,input().split())
s = input()
last = 0
flag = True
for i in range(1,len(s)):
if s[i] == '#' and i-last>=k:
flag = False
break
if s[i] == '.':
last = i
print("YES") if flag else print("NO") | Title: Ksusha the Squirrel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Ksusha the Squirrel is standing at the beginning of a straight road, divided into *n* sectors. The sectors are numbered 1 to *n*, from left to right. Initially, Ksusha stands in sector 1.
Ksusha wants to walk to the end of the road, that is, get to sector *n*. Unfortunately, there are some rocks on the road. We know that Ksusha hates rocks, so she doesn't want to stand in sectors that have rocks.
Ksusha the squirrel keeps fit. She can jump from sector *i* to any of the sectors *i*<=+<=1,<=*i*<=+<=2,<=...,<=*i*<=+<=*k*.
Help Ksusha! Given the road description, say if she can reach the end of the road (note, she cannot stand on a rock)?
Input Specification:
The first line contains two integers *n* and *k* (2<=≤<=*n*<=≤<=3·105,<=1<=≤<=*k*<=≤<=3·105). The next line contains *n* characters — the description of the road: the *i*-th character equals ".", if the *i*-th sector contains no rocks. Otherwise, it equals "#".
It is guaranteed that the first and the last characters equal ".".
Output Specification:
Print "YES" (without the quotes) if Ksusha can reach the end of the road, otherwise print "NO" (without the quotes).
Demo Input:
['2 1\n..\n', '5 2\n.#.#.\n', '7 3\n.#.###.\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n']
Note:
none | ```python
n,k = map(int,input().split())
s = input()
last = 0
flag = True
for i in range(1,len(s)):
if s[i] == '#' and i-last>=k:
flag = False
break
if s[i] == '.':
last = i
print("YES") if flag else print("NO")
``` | 3 | |
632 | B | Alice, Bob, Two Teams | PROGRAMMING | 1,400 | [
"brute force",
"constructive algorithms"
] | null | null | Alice and Bob are playing a game. The game involves splitting up game pieces into two teams. There are *n* pieces, and the *i*-th piece has a strength *p**i*.
The way to split up game pieces is split into several steps:
1. First, Alice will split the pieces into two different groups *A* and *B*. This can be seen as writing the assignment of teams of a piece in an *n* character string, where each character is *A* or *B*. 1. Bob will then choose an arbitrary prefix or suffix of the string, and flip each character in that suffix (i.e. change *A* to *B* and *B* to *A*). He can do this step at most once. 1. Alice will get all the pieces marked *A* and Bob will get all the pieces marked *B*.
The strength of a player is then the sum of strengths of the pieces in the group.
Given Alice's initial split into two teams, help Bob determine an optimal strategy. Return the maximum strength he can achieve. | The first line contains integer *n* (1<=≤<=*n*<=≤<=5·105) — the number of game pieces.
The second line contains *n* integers *p**i* (1<=≤<=*p**i*<=≤<=109) — the strength of the *i*-th piece.
The third line contains *n* characters *A* or *B* — the assignment of teams after the first step (after Alice's step). | Print the only integer *a* — the maximum strength Bob can achieve. | [
"5\n1 2 3 4 5\nABABA\n",
"5\n1 2 3 4 5\nAAAAA\n",
"1\n1\nB\n"
] | [
"11\n",
"15\n",
"1\n"
] | In the first sample Bob should flip the suffix of length one.
In the second sample Bob should flip the prefix or the suffix (here it is the same) of length 5.
In the third sample Bob should do nothing. | 0 | [
{
"input": "5\n1 2 3 4 5\nABABA",
"output": "11"
},
{
"input": "5\n1 2 3 4 5\nAAAAA",
"output": "15"
},
{
"input": "1\n1\nB",
"output": "1"
},
{
"input": "10\n1 9 7 6 2 4 7 8 1 3\nABBABAABBB",
"output": "33"
},
{
"input": "100\n591 417 888 251 792 847 685 3 182 46... | 1,457,838,104 | 2,147,483,647 | Python 3 | OK | TESTS | 17 | 794 | 39,526,400 | n = int(input())
p = list(map(int, input().split()))
s = input()
ans = 0
cur_orig = 0
for i in range(0, len(s)):
if s[i] == 'B': cur_orig += p[i]
cur = cur_orig
ans = cur_orig
for i in range(0, len(s)):
if s[i] == 'A':
cur += p[i]
ans = max(ans, cur)
else:
cur -= p[i]
cur = cur_orig
for i in range(len(s) - 1, -1, -1):
if s[i] == 'A':
cur += p[i]
ans = max(ans, cur)
else:
cur -= p[i]
print(ans)
| Title: Alice, Bob, Two Teams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Alice and Bob are playing a game. The game involves splitting up game pieces into two teams. There are *n* pieces, and the *i*-th piece has a strength *p**i*.
The way to split up game pieces is split into several steps:
1. First, Alice will split the pieces into two different groups *A* and *B*. This can be seen as writing the assignment of teams of a piece in an *n* character string, where each character is *A* or *B*. 1. Bob will then choose an arbitrary prefix or suffix of the string, and flip each character in that suffix (i.e. change *A* to *B* and *B* to *A*). He can do this step at most once. 1. Alice will get all the pieces marked *A* and Bob will get all the pieces marked *B*.
The strength of a player is then the sum of strengths of the pieces in the group.
Given Alice's initial split into two teams, help Bob determine an optimal strategy. Return the maximum strength he can achieve.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=5·105) — the number of game pieces.
The second line contains *n* integers *p**i* (1<=≤<=*p**i*<=≤<=109) — the strength of the *i*-th piece.
The third line contains *n* characters *A* or *B* — the assignment of teams after the first step (after Alice's step).
Output Specification:
Print the only integer *a* — the maximum strength Bob can achieve.
Demo Input:
['5\n1 2 3 4 5\nABABA\n', '5\n1 2 3 4 5\nAAAAA\n', '1\n1\nB\n']
Demo Output:
['11\n', '15\n', '1\n']
Note:
In the first sample Bob should flip the suffix of length one.
In the second sample Bob should flip the prefix or the suffix (here it is the same) of length 5.
In the third sample Bob should do nothing. | ```python
n = int(input())
p = list(map(int, input().split()))
s = input()
ans = 0
cur_orig = 0
for i in range(0, len(s)):
if s[i] == 'B': cur_orig += p[i]
cur = cur_orig
ans = cur_orig
for i in range(0, len(s)):
if s[i] == 'A':
cur += p[i]
ans = max(ans, cur)
else:
cur -= p[i]
cur = cur_orig
for i in range(len(s) - 1, -1, -1):
if s[i] == 'A':
cur += p[i]
ans = max(ans, cur)
else:
cur -= p[i]
print(ans)
``` | 3 | |
386 | A | Second-Price Auction | PROGRAMMING | 800 | [
"implementation"
] | null | null | In this problem we consider a special type of an auction, which is called the second-price auction. As in regular auction *n* bidders place a bid which is price a bidder ready to pay. The auction is closed, that is, each bidder secretly informs the organizer of the auction price he is willing to pay. After that, the auction winner is the participant who offered the highest price. However, he pay not the price he offers, but the highest price among the offers of other participants (hence the name: the second-price auction).
Write a program that reads prices offered by bidders and finds the winner and the price he will pay. Consider that all of the offered prices are different. | The first line of the input contains *n* (2<=≤<=*n*<=≤<=1000) — number of bidders. The second line contains *n* distinct integer numbers *p*1,<=*p*2,<=... *p**n*, separated by single spaces (1<=≤<=*p**i*<=≤<=10000), where *p**i* stands for the price offered by the *i*-th bidder. | The single output line should contain two integers: index of the winner and the price he will pay. Indices are 1-based. | [
"2\n5 7\n",
"3\n10 2 8\n",
"6\n3 8 2 9 4 14\n"
] | [
"2 5\n",
"1 8\n",
"6 9\n"
] | none | 500 | [
{
"input": "2\n5 7",
"output": "2 5"
},
{
"input": "3\n10 2 8",
"output": "1 8"
},
{
"input": "6\n3 8 2 9 4 14",
"output": "6 9"
},
{
"input": "4\n4707 7586 4221 5842",
"output": "2 5842"
},
{
"input": "5\n3304 4227 4869 6937 6002",
"output": "4 6002"
},
{... | 1,657,155,524 | 2,147,483,647 | Python 3 | OK | TESTS | 42 | 46 | 0 | n = int(input())
data = list(map(int, input().split(" ")))
data_sup = data.copy()
data_sup.sort()
winner = data.index(data_sup[-1]) + 1
price = data_sup[-2]
print(winner, price)
| Title: Second-Price Auction
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In this problem we consider a special type of an auction, which is called the second-price auction. As in regular auction *n* bidders place a bid which is price a bidder ready to pay. The auction is closed, that is, each bidder secretly informs the organizer of the auction price he is willing to pay. After that, the auction winner is the participant who offered the highest price. However, he pay not the price he offers, but the highest price among the offers of other participants (hence the name: the second-price auction).
Write a program that reads prices offered by bidders and finds the winner and the price he will pay. Consider that all of the offered prices are different.
Input Specification:
The first line of the input contains *n* (2<=≤<=*n*<=≤<=1000) — number of bidders. The second line contains *n* distinct integer numbers *p*1,<=*p*2,<=... *p**n*, separated by single spaces (1<=≤<=*p**i*<=≤<=10000), where *p**i* stands for the price offered by the *i*-th bidder.
Output Specification:
The single output line should contain two integers: index of the winner and the price he will pay. Indices are 1-based.
Demo Input:
['2\n5 7\n', '3\n10 2 8\n', '6\n3 8 2 9 4 14\n']
Demo Output:
['2 5\n', '1 8\n', '6 9\n']
Note:
none | ```python
n = int(input())
data = list(map(int, input().split(" ")))
data_sup = data.copy()
data_sup.sort()
winner = data.index(data_sup[-1]) + 1
price = data_sup[-2]
print(winner, price)
``` | 3 | |
266 | A | Stones on the Table | PROGRAMMING | 800 | [
"implementation"
] | null | null | There are *n* stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them. | The first line contains integer *n* (1<=≤<=*n*<=≤<=50) — the number of stones on the table.
The next line contains string *s*, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to *n* from left to right. Then the *i*-th character *s* equals "R", if the *i*-th stone is red, "G", if it's green and "B", if it's blue. | Print a single integer — the answer to the problem. | [
"3\nRRG\n",
"5\nRRRRR\n",
"4\nBRBG\n"
] | [
"1\n",
"4\n",
"0\n"
] | none | 500 | [
{
"input": "3\nRRG",
"output": "1"
},
{
"input": "5\nRRRRR",
"output": "4"
},
{
"input": "4\nBRBG",
"output": "0"
},
{
"input": "1\nB",
"output": "0"
},
{
"input": "2\nBG",
"output": "0"
},
{
"input": "3\nBGB",
"output": "0"
},
{
"input": "... | 1,694,511,968 | 2,147,483,647 | Python 3 | OK | TESTS | 34 | 92 | 0 | n= int(input())
stone = input()
count=0
for i in range(n-1):
if(stone[i]==stone[i+1]):
count+=1
print(count) | Title: Stones on the Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=50) — the number of stones on the table.
The next line contains string *s*, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to *n* from left to right. Then the *i*-th character *s* equals "R", if the *i*-th stone is red, "G", if it's green and "B", if it's blue.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['3\nRRG\n', '5\nRRRRR\n', '4\nBRBG\n']
Demo Output:
['1\n', '4\n', '0\n']
Note:
none | ```python
n= int(input())
stone = input()
count=0
for i in range(n-1):
if(stone[i]==stone[i+1]):
count+=1
print(count)
``` | 3 | |
818 | A | Diplomas and Certificates | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | There are *n* students who have taken part in an olympiad. Now it's time to award the students.
Some of them will receive diplomas, some wiil get certificates, and others won't receive anything. Students with diplomas and certificates are called winners. But there are some rules of counting the number of diplomas and certificates. The number of certificates must be exactly *k* times greater than the number of diplomas. The number of winners must not be greater than half of the number of all students (i.e. not be greater than half of *n*). It's possible that there are no winners.
You have to identify the maximum possible number of winners, according to these rules. Also for this case you have to calculate the number of students with diplomas, the number of students with certificates and the number of students who are not winners. | The first (and the only) line of input contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=1012), where *n* is the number of students and *k* is the ratio between the number of certificates and the number of diplomas. | Output three numbers: the number of students with diplomas, the number of students with certificates and the number of students who are not winners in case when the number of winners is maximum possible.
It's possible that there are no winners. | [
"18 2\n",
"9 10\n",
"1000000000000 5\n",
"1000000000000 499999999999\n"
] | [
"3 6 9\n",
"0 0 9\n",
"83333333333 416666666665 500000000002\n",
"1 499999999999 500000000000\n"
] | none | 0 | [
{
"input": "18 2",
"output": "3 6 9"
},
{
"input": "9 10",
"output": "0 0 9"
},
{
"input": "1000000000000 5",
"output": "83333333333 416666666665 500000000002"
},
{
"input": "1000000000000 499999999999",
"output": "1 499999999999 500000000000"
},
{
"input": "1 1",... | 1,598,529,065 | 2,147,483,647 | Python 3 | OK | TESTS | 44 | 109 | 0 | #Needed Help.....
n,k=map(int, input().split())
a=n//(2*(k+1)) #Diploma
b=a*k #Certificate
c=n-(b+a) #Losers
print(a, b, c) | Title: Diplomas and Certificates
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* students who have taken part in an olympiad. Now it's time to award the students.
Some of them will receive diplomas, some wiil get certificates, and others won't receive anything. Students with diplomas and certificates are called winners. But there are some rules of counting the number of diplomas and certificates. The number of certificates must be exactly *k* times greater than the number of diplomas. The number of winners must not be greater than half of the number of all students (i.e. not be greater than half of *n*). It's possible that there are no winners.
You have to identify the maximum possible number of winners, according to these rules. Also for this case you have to calculate the number of students with diplomas, the number of students with certificates and the number of students who are not winners.
Input Specification:
The first (and the only) line of input contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=1012), where *n* is the number of students and *k* is the ratio between the number of certificates and the number of diplomas.
Output Specification:
Output three numbers: the number of students with diplomas, the number of students with certificates and the number of students who are not winners in case when the number of winners is maximum possible.
It's possible that there are no winners.
Demo Input:
['18 2\n', '9 10\n', '1000000000000 5\n', '1000000000000 499999999999\n']
Demo Output:
['3 6 9\n', '0 0 9\n', '83333333333 416666666665 500000000002\n', '1 499999999999 500000000000\n']
Note:
none | ```python
#Needed Help.....
n,k=map(int, input().split())
a=n//(2*(k+1)) #Diploma
b=a*k #Certificate
c=n-(b+a) #Losers
print(a, b, c)
``` | 3 | |
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... | 1,665,857,627 | 2,147,483,647 | Python 3 | OK | TESTS | 59 | 46 | 0 | def fact(N):
if N <= 1: return 1
return fact(N - 1)*N
G, H = (int(x) for x in input().split())
print(fact(min(G, H)))
| 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
def fact(N):
if N <= 1: return 1
return fact(N - 1)*N
G, H = (int(x) for x in input().split())
print(fact(min(G, H)))
``` | 3 | |
992 | A | Nastya and an Array | PROGRAMMING | 800 | [
"implementation",
"sortings"
] | null | null | Nastya owns too many arrays now, so she wants to delete the least important of them. However, she discovered that this array is magic! Nastya now knows that the array has the following properties:
- In one second we can add an arbitrary (possibly negative) integer to all elements of the array that are not equal to zero. - When all elements of the array become equal to zero, the array explodes.
Nastya is always busy, so she wants to explode the array as fast as possible. Compute the minimum time in which the array can be exploded. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the size of the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=105<=≤<=*a**i*<=≤<=105) — the elements of the array. | Print a single integer — the minimum number of seconds needed to make all elements of the array equal to zero. | [
"5\n1 1 1 1 1\n",
"3\n2 0 -1\n",
"4\n5 -6 -5 1\n"
] | [
"1\n",
"2\n",
"4\n"
] | In the first example you can add - 1 to all non-zero elements in one second and make them equal to zero.
In the second example you can add - 2 on the first second, then the array becomes equal to [0, 0, - 3]. On the second second you can add 3 to the third (the only non-zero) element. | 500 | [
{
"input": "5\n1 1 1 1 1",
"output": "1"
},
{
"input": "3\n2 0 -1",
"output": "2"
},
{
"input": "4\n5 -6 -5 1",
"output": "4"
},
{
"input": "1\n0",
"output": "0"
},
{
"input": "2\n21794 -79194",
"output": "2"
},
{
"input": "3\n-63526 95085 -5239",
... | 1,619,685,177 | 2,147,483,647 | Python 3 | OK | TESTS | 79 | 108 | 7,168,000 | n = int(input())
li = list(map(int,input().split()[:n]))
li = list(set(li))
for ele in li:
if ele == 0:
li.remove(ele)
print(len(li))
| Title: Nastya and an Array
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Nastya owns too many arrays now, so she wants to delete the least important of them. However, she discovered that this array is magic! Nastya now knows that the array has the following properties:
- In one second we can add an arbitrary (possibly negative) integer to all elements of the array that are not equal to zero. - When all elements of the array become equal to zero, the array explodes.
Nastya is always busy, so she wants to explode the array as fast as possible. Compute the minimum time in which the array can be exploded.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105) — the size of the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=105<=≤<=*a**i*<=≤<=105) — the elements of the array.
Output Specification:
Print a single integer — the minimum number of seconds needed to make all elements of the array equal to zero.
Demo Input:
['5\n1 1 1 1 1\n', '3\n2 0 -1\n', '4\n5 -6 -5 1\n']
Demo Output:
['1\n', '2\n', '4\n']
Note:
In the first example you can add - 1 to all non-zero elements in one second and make them equal to zero.
In the second example you can add - 2 on the first second, then the array becomes equal to [0, 0, - 3]. On the second second you can add 3 to the third (the only non-zero) element. | ```python
n = int(input())
li = list(map(int,input().split()[:n]))
li = list(set(li))
for ele in li:
if ele == 0:
li.remove(ele)
print(len(li))
``` | 3 | |
32 | B | Borze | PROGRAMMING | 800 | [
"expression parsing",
"implementation"
] | B. Borze | 2 | 256 | Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as «.», 1 as «-.» and 2 as «--». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet. | The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes). | Output the decoded ternary number. It can have leading zeroes. | [
".-.--\n",
"--.\n",
"-..-.--\n"
] | [
"012",
"20",
"1012"
] | none | 1,000 | [
{
"input": ".-.--",
"output": "012"
},
{
"input": "--.",
"output": "20"
},
{
"input": "-..-.--",
"output": "1012"
},
{
"input": "---..",
"output": "210"
},
{
"input": "..--.---..",
"output": "0020210"
},
{
"input": "-.....----.",
"output": "1000022... | 1,583,036,137 | 2,147,483,647 | PyPy 3 | OK | TESTS | 30 | 280 | 0 | x=input();p=''
for i in range(len(x)):
if len(x)==0:
break
if x[0]=='.':
x=x.replace('.','',1)
p=p+'0'
elif x[0]+x[1]=='-.':
x=x.replace('-.','',1)
p=p+'1'
elif x[0]+x[1]=='--':
x=x.replace('--','',1)
p=p+'2'
print(p)
#author:SK__Shanto__㋛
#code__define__your__smartness | Title: Borze
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Ternary numeric notation is quite popular in Berland. To telegraph the ternary number the Borze alphabet is used. Digit 0 is transmitted as «.», 1 as «-.» and 2 as «--». You are to decode the Borze code, i.e. to find out the ternary number given its representation in Borze alphabet.
Input Specification:
The first line contains a number in Borze code. The length of the string is between 1 and 200 characters. It's guaranteed that the given string is a valid Borze code of some ternary number (this number can have leading zeroes).
Output Specification:
Output the decoded ternary number. It can have leading zeroes.
Demo Input:
['.-.--\n', '--.\n', '-..-.--\n']
Demo Output:
['012', '20', '1012']
Note:
none | ```python
x=input();p=''
for i in range(len(x)):
if len(x)==0:
break
if x[0]=='.':
x=x.replace('.','',1)
p=p+'0'
elif x[0]+x[1]=='-.':
x=x.replace('-.','',1)
p=p+'1'
elif x[0]+x[1]=='--':
x=x.replace('--','',1)
p=p+'2'
print(p)
#author:SK__Shanto__㋛
#code__define__your__smartness
``` | 3.93 |
361 | A | Levko and Table | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | Levko loves tables that consist of *n* rows and *n* columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals *k*.
Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them. | The single line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000). | Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value.
If there are multiple suitable tables, you are allowed to print any of them. | [
"2 4\n",
"4 7\n"
] | [
"1 3\n3 1\n",
"2 1 0 4\n4 0 2 1\n1 3 3 0\n0 3 2 2\n"
] | In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample.
In the second sample the sum of elements in each row and each column equals 7. Besides, there are other tables that meet the statement requirements. | 500 | [
{
"input": "2 4",
"output": "4 0 \n0 4 "
},
{
"input": "4 7",
"output": "7 0 0 0 \n0 7 0 0 \n0 0 7 0 \n0 0 0 7 "
},
{
"input": "1 8",
"output": "8 "
},
{
"input": "9 3",
"output": "3 0 0 0 0 0 0 0 0 \n0 3 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 \n0 0 0 3 0 0 0 0 0 \n0 0 0 0 3 0... | 1,536,278,432 | 2,147,483,647 | PyPy 3 | OK | TESTS | 22 | 140 | 0 | n,k = map(int,input().split())
for i in range(1,n+1):
print('0 '*(n-i)+str(k)+' '+'0 '*(i-1)) | Title: Levko and Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Levko loves tables that consist of *n* rows and *n* columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals *k*.
Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them.
Input Specification:
The single line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000).
Output Specification:
Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value.
If there are multiple suitable tables, you are allowed to print any of them.
Demo Input:
['2 4\n', '4 7\n']
Demo Output:
['1 3\n3 1\n', '2 1 0 4\n4 0 2 1\n1 3 3 0\n0 3 2 2\n']
Note:
In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample.
In the second sample the sum of elements in each row and each column equals 7. Besides, there are other tables that meet the statement requirements. | ```python
n,k = map(int,input().split())
for i in range(1,n+1):
print('0 '*(n-i)+str(k)+' '+'0 '*(i-1))
``` | 3 | |
9 | A | Die Roll | PROGRAMMING | 800 | [
"math",
"probabilities"
] | A. Die Roll | 1 | 64 | Yakko, Wakko and Dot, world-famous animaniacs, decided to rest from acting in cartoons, and take a leave to travel a bit. Yakko dreamt to go to Pennsylvania, his Motherland and the Motherland of his ancestors. Wakko thought about Tasmania, its beaches, sun and sea. Dot chose Transylvania as the most mysterious and unpredictable place.
But to their great regret, the leave turned to be very short, so it will be enough to visit one of the three above named places. That's why Yakko, as the cleverest, came up with a truly genius idea: let each of the three roll an ordinary six-sided die, and the one with the highest amount of points will be the winner, and will take the other two to the place of his/her dreams.
Yakko thrown a die and got Y points, Wakko — W points. It was Dot's turn. But she didn't hurry. Dot wanted to know for sure what were her chances to visit Transylvania.
It is known that Yakko and Wakko are true gentlemen, that's why if they have the same amount of points with Dot, they will let Dot win. | The only line of the input file contains two natural numbers Y and W — the results of Yakko's and Wakko's die rolls. | Output the required probability in the form of irreducible fraction in format «A/B», where A — the numerator, and B — the denominator. If the required probability equals to zero, output «0/1». If the required probability equals to 1, output «1/1». | [
"4 2\n"
] | [
"1/2\n"
] | Dot will go to Transylvania, if she is lucky to roll 4, 5 or 6 points. | 0 | [
{
"input": "4 2",
"output": "1/2"
},
{
"input": "1 1",
"output": "1/1"
},
{
"input": "1 2",
"output": "5/6"
},
{
"input": "1 3",
"output": "2/3"
},
{
"input": "1 4",
"output": "1/2"
},
{
"input": "1 5",
"output": "1/3"
},
{
"input": "1 6",
... | 1,635,319,710 | 2,147,483,647 | Python 3 | OK | TESTS | 36 | 124 | 4,300,800 | y,w = list(map(int,input().split()))
c = 6 - max(y,w)
if c == 0:
print('1/6')
elif c == 1:
print('1/3')
elif c==2:
print('1/2')
elif c==3:
print('2/3')
elif c==4:
print('5/6')
else:
print('1/1') | Title: Die Roll
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
Yakko, Wakko and Dot, world-famous animaniacs, decided to rest from acting in cartoons, and take a leave to travel a bit. Yakko dreamt to go to Pennsylvania, his Motherland and the Motherland of his ancestors. Wakko thought about Tasmania, its beaches, sun and sea. Dot chose Transylvania as the most mysterious and unpredictable place.
But to their great regret, the leave turned to be very short, so it will be enough to visit one of the three above named places. That's why Yakko, as the cleverest, came up with a truly genius idea: let each of the three roll an ordinary six-sided die, and the one with the highest amount of points will be the winner, and will take the other two to the place of his/her dreams.
Yakko thrown a die and got Y points, Wakko — W points. It was Dot's turn. But she didn't hurry. Dot wanted to know for sure what were her chances to visit Transylvania.
It is known that Yakko and Wakko are true gentlemen, that's why if they have the same amount of points with Dot, they will let Dot win.
Input Specification:
The only line of the input file contains two natural numbers Y and W — the results of Yakko's and Wakko's die rolls.
Output Specification:
Output the required probability in the form of irreducible fraction in format «A/B», where A — the numerator, and B — the denominator. If the required probability equals to zero, output «0/1». If the required probability equals to 1, output «1/1».
Demo Input:
['4 2\n']
Demo Output:
['1/2\n']
Note:
Dot will go to Transylvania, if she is lucky to roll 4, 5 or 6 points. | ```python
y,w = list(map(int,input().split()))
c = 6 - max(y,w)
if c == 0:
print('1/6')
elif c == 1:
print('1/3')
elif c==2:
print('1/2')
elif c==3:
print('2/3')
elif c==4:
print('5/6')
else:
print('1/1')
``` | 3.905957 |
499 | B | Lecture | PROGRAMMING | 1,000 | [
"implementation",
"strings"
] | null | null | You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes. | The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters. | Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input. | [
"4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n",
"5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n"
] | [
"codeforces round letter round\n",
"hbnyiyc joll joll un joll\n"
] | none | 500 | [
{
"input": "4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest",
"output": "codeforces round letter round"
},
{
"input": "5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll",
"output": "hbnyiyc joll joll un joll"
},
{
"input"... | 1,689,318,717 | 2,147,483,647 | Python 3 | OK | TESTS | 37 | 46 | 716,800 | n, m = map(int, input().split())
words = {}
for _ in range(m):
first_lang, second_lang = input().split()
words[first_lang] = second_lang
lecture = input().split()
recorded_lecture = [words[word] if len(words[word]) < len(word) else word for word in lecture]
recorded_lecture = ' '.join(recorded_lecture)
print(recorded_lecture)
| Title: Lecture
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You have a new professor of graph theory and he speaks very quickly. You come up with the following plan to keep up with his lecture and make notes.
You know two languages, and the professor is giving the lecture in the first one. The words in both languages consist of lowercase English characters, each language consists of several words. For each language, all words are distinct, i.e. they are spelled differently. Moreover, the words of these languages have a one-to-one correspondence, that is, for each word in each language, there exists exactly one word in the other language having has the same meaning.
You can write down every word the professor says in either the first language or the second language. Of course, during the lecture you write down each word in the language in which the word is shorter. In case of equal lengths of the corresponding words you prefer the word of the first language.
You are given the text of the lecture the professor is going to read. Find out how the lecture will be recorded in your notes.
Input Specification:
The first line contains two integers, *n* and *m* (1<=≤<=*n*<=≤<=3000, 1<=≤<=*m*<=≤<=3000) — the number of words in the professor's lecture and the number of words in each of these languages.
The following *m* lines contain the words. The *i*-th line contains two strings *a**i*, *b**i* meaning that the word *a**i* belongs to the first language, the word *b**i* belongs to the second language, and these two words have the same meaning. It is guaranteed that no word occurs in both languages, and each word occurs in its language exactly once.
The next line contains *n* space-separated strings *c*1,<=*c*2,<=...,<=*c**n* — the text of the lecture. It is guaranteed that each of the strings *c**i* belongs to the set of strings {*a*1,<=*a*2,<=... *a**m*}.
All the strings in the input are non-empty, each consisting of no more than 10 lowercase English letters.
Output Specification:
Output exactly *n* words: how you will record the lecture in your notebook. Output the words of the lecture in the same order as in the input.
Demo Input:
['4 3\ncodeforces codesecrof\ncontest round\nletter message\ncodeforces contest letter contest\n', '5 3\njoll wuqrd\neuzf un\nhbnyiyc rsoqqveh\nhbnyiyc joll joll euzf joll\n']
Demo Output:
['codeforces round letter round\n', 'hbnyiyc joll joll un joll\n']
Note:
none | ```python
n, m = map(int, input().split())
words = {}
for _ in range(m):
first_lang, second_lang = input().split()
words[first_lang] = second_lang
lecture = input().split()
recorded_lecture = [words[word] if len(words[word]) < len(word) else word for word in lecture]
recorded_lecture = ' '.join(recorded_lecture)
print(recorded_lecture)
``` | 3 | |
551 | B | ZgukistringZ | PROGRAMMING | 1,800 | [
"brute force",
"constructive algorithms",
"implementation",
"strings"
] | null | null | Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one.
GukiZ has strings *a*, *b*, and *c*. He wants to obtain string *k* by swapping some letters in *a*, so that *k* should contain as many non-overlapping substrings equal either to *b* or *c* as possible. Substring of string *x* is a string formed by consecutive segment of characters from *x*. Two substrings of string *x* overlap if there is position *i* in string *x* occupied by both of them.
GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings *k*? | The first line contains string *a*, the second line contains string *b*, and the third line contains string *c* (1<=≤<=|*a*|,<=|*b*|,<=|*c*|<=≤<=105, where |*s*| denotes the length of string *s*).
All three strings consist only of lowercase English letters.
It is possible that *b* and *c* coincide. | Find one of possible strings *k*, as described in the problem statement. If there are multiple possible answers, print any of them. | [
"aaa\na\nb\n",
"pozdravstaklenidodiri\nniste\ndobri\n",
"abbbaaccca\nab\naca\n"
] | [
"aaa",
"nisteaadddiiklooprrvz",
"ababacabcc"
] | In the third sample, this optimal solutions has three non-overlaping substrings equal to either *b* or *c* on positions 1 – 2 (*ab*), 3 – 4 (*ab*), 5 – 7 (*aca*). In this sample, there exist many other optimal solutions, one of them would be *acaababbcc*. | 1,250 | [
{
"input": "aaa\na\nb",
"output": "aaa"
},
{
"input": "pozdravstaklenidodiri\nniste\ndobri",
"output": "nisteaadddiiklooprrvz"
},
{
"input": "abbbaaccca\nab\naca",
"output": "ababacabcc"
},
{
"input": "lemigazalemiolemilicomzalemljenje\nlemi\nzlo",
"output": "lemilemilemi... | 1,689,384,574 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 61 | 670 | 22,220,800 | import string
def solve(A,B,C,n):
m = float('inf')
for i in string.ascii_lowercase:
if A[i] < B[i]*n:
return None
A[i] -= B[i]*n
for i in string.ascii_lowercase:
if A[i] == 0 and C[i] != 0:
return (n,n)
if C[i] != 0:
m = min(m,A[i]//C[i])
m = int(m)
return (m+n,n)
a=list(input())
b=list(input())
c=list(input())
s=[]
A,B,C = {},{},{}
for d in string.ascii_lowercase:
A[d] = 0
B[d] = 0
C[d] = 0
for d in a:
A[d] += 1
for d in b:
B[d] += 1
for d in c:
C[d] += 1
answer = (0,0)
n = 0
while True:
m = solve(dict(A),dict(B),dict(C),n)
if m is None:
break
answer = max(answer,m)
n += 1
for i in string.ascii_lowercase:
A[i] -= B[i]*answer[1]
for _ in range(answer[1]):
s += b
for i in string.ascii_lowercase:
A[i] -= C[i]*(answer[0]-answer[1])
for _ in range(answer[0]-answer[1]):
s += c
for i in string.ascii_lowercase:
s += [i]*A[i]
print(''.join(s)) | Title: ZgukistringZ
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one.
GukiZ has strings *a*, *b*, and *c*. He wants to obtain string *k* by swapping some letters in *a*, so that *k* should contain as many non-overlapping substrings equal either to *b* or *c* as possible. Substring of string *x* is a string formed by consecutive segment of characters from *x*. Two substrings of string *x* overlap if there is position *i* in string *x* occupied by both of them.
GukiZ was disappointed because none of his students managed to solve the problem. Can you help them and find one of possible strings *k*?
Input Specification:
The first line contains string *a*, the second line contains string *b*, and the third line contains string *c* (1<=≤<=|*a*|,<=|*b*|,<=|*c*|<=≤<=105, where |*s*| denotes the length of string *s*).
All three strings consist only of lowercase English letters.
It is possible that *b* and *c* coincide.
Output Specification:
Find one of possible strings *k*, as described in the problem statement. If there are multiple possible answers, print any of them.
Demo Input:
['aaa\na\nb\n', 'pozdravstaklenidodiri\nniste\ndobri\n', 'abbbaaccca\nab\naca\n']
Demo Output:
['aaa', 'nisteaadddiiklooprrvz', 'ababacabcc']
Note:
In the third sample, this optimal solutions has three non-overlaping substrings equal to either *b* or *c* on positions 1 – 2 (*ab*), 3 – 4 (*ab*), 5 – 7 (*aca*). In this sample, there exist many other optimal solutions, one of them would be *acaababbcc*. | ```python
import string
def solve(A,B,C,n):
m = float('inf')
for i in string.ascii_lowercase:
if A[i] < B[i]*n:
return None
A[i] -= B[i]*n
for i in string.ascii_lowercase:
if A[i] == 0 and C[i] != 0:
return (n,n)
if C[i] != 0:
m = min(m,A[i]//C[i])
m = int(m)
return (m+n,n)
a=list(input())
b=list(input())
c=list(input())
s=[]
A,B,C = {},{},{}
for d in string.ascii_lowercase:
A[d] = 0
B[d] = 0
C[d] = 0
for d in a:
A[d] += 1
for d in b:
B[d] += 1
for d in c:
C[d] += 1
answer = (0,0)
n = 0
while True:
m = solve(dict(A),dict(B),dict(C),n)
if m is None:
break
answer = max(answer,m)
n += 1
for i in string.ascii_lowercase:
A[i] -= B[i]*answer[1]
for _ in range(answer[1]):
s += b
for i in string.ascii_lowercase:
A[i] -= C[i]*(answer[0]-answer[1])
for _ in range(answer[0]-answer[1]):
s += c
for i in string.ascii_lowercase:
s += [i]*A[i]
print(''.join(s))
``` | 3 | |
785 | A | Anton and Polyhedrons | PROGRAMMING | 800 | [
"implementation",
"strings"
] | null | null | Anton's favourite geometric figures are regular polyhedrons. Note that there are five kinds of regular polyhedrons:
- Tetrahedron. Tetrahedron has 4 triangular faces. - Cube. Cube has 6 square faces. - Octahedron. Octahedron has 8 triangular faces. - Dodecahedron. Dodecahedron has 12 pentagonal faces. - Icosahedron. Icosahedron has 20 triangular faces.
All five kinds of polyhedrons are shown on the picture below:
Anton has a collection of *n* polyhedrons. One day he decided to know, how many faces his polyhedrons have in total. Help Anton and find this number! | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of polyhedrons in Anton's collection.
Each of the following *n* lines of the input contains a string *s**i* — the name of the *i*-th polyhedron in Anton's collection. The string can look like this:
- "Tetrahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is a tetrahedron. - "Cube" (without quotes), if the *i*-th polyhedron in Anton's collection is a cube. - "Octahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is an octahedron. - "Dodecahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is a dodecahedron. - "Icosahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is an icosahedron. | Output one number — the total number of faces in all the polyhedrons in Anton's collection. | [
"4\nIcosahedron\nCube\nTetrahedron\nDodecahedron\n",
"3\nDodecahedron\nOctahedron\nOctahedron\n"
] | [
"42\n",
"28\n"
] | In the first sample Anton has one icosahedron, one cube, one tetrahedron and one dodecahedron. Icosahedron has 20 faces, cube has 6 faces, tetrahedron has 4 faces and dodecahedron has 12 faces. In total, they have 20 + 6 + 4 + 12 = 42 faces. | 500 | [
{
"input": "4\nIcosahedron\nCube\nTetrahedron\nDodecahedron",
"output": "42"
},
{
"input": "3\nDodecahedron\nOctahedron\nOctahedron",
"output": "28"
},
{
"input": "25\nIcosahedron\nOctahedron\nTetrahedron\nDodecahedron\nCube\nIcosahedron\nOctahedron\nCube\nTetrahedron\nIcosahedron\nIcosa... | 1,687,061,707 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 202 | 0 | n = int(input())
dc = {
"Cube":6,
"Tetrahedron":4,
"Octahedron":8,
"Dodecahedron":12,
"Icosahedron":20}
k = 0
for i in range(n):
a = input()
k += dc[a]
print(k) | Title: Anton and Polyhedrons
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Anton's favourite geometric figures are regular polyhedrons. Note that there are five kinds of regular polyhedrons:
- Tetrahedron. Tetrahedron has 4 triangular faces. - Cube. Cube has 6 square faces. - Octahedron. Octahedron has 8 triangular faces. - Dodecahedron. Dodecahedron has 12 pentagonal faces. - Icosahedron. Icosahedron has 20 triangular faces.
All five kinds of polyhedrons are shown on the picture below:
Anton has a collection of *n* polyhedrons. One day he decided to know, how many faces his polyhedrons have in total. Help Anton and find this number!
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of polyhedrons in Anton's collection.
Each of the following *n* lines of the input contains a string *s**i* — the name of the *i*-th polyhedron in Anton's collection. The string can look like this:
- "Tetrahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is a tetrahedron. - "Cube" (without quotes), if the *i*-th polyhedron in Anton's collection is a cube. - "Octahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is an octahedron. - "Dodecahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is a dodecahedron. - "Icosahedron" (without quotes), if the *i*-th polyhedron in Anton's collection is an icosahedron.
Output Specification:
Output one number — the total number of faces in all the polyhedrons in Anton's collection.
Demo Input:
['4\nIcosahedron\nCube\nTetrahedron\nDodecahedron\n', '3\nDodecahedron\nOctahedron\nOctahedron\n']
Demo Output:
['42\n', '28\n']
Note:
In the first sample Anton has one icosahedron, one cube, one tetrahedron and one dodecahedron. Icosahedron has 20 faces, cube has 6 faces, tetrahedron has 4 faces and dodecahedron has 12 faces. In total, they have 20 + 6 + 4 + 12 = 42 faces. | ```python
n = int(input())
dc = {
"Cube":6,
"Tetrahedron":4,
"Octahedron":8,
"Dodecahedron":12,
"Icosahedron":20}
k = 0
for i in range(n):
a = input()
k += dc[a]
print(k)
``` | 3 | |
155 | A | I_love_\%username\% | PROGRAMMING | 800 | [
"brute force"
] | null | null | Vasya adores sport programming. He can't write programs but he loves to watch the contests' progress. Vasya even has a favorite coder and Vasya pays special attention to him.
One day Vasya decided to collect the results of all contests where his favorite coder participated and track the progress of his coolness. For each contest where this coder participated, he wrote out a single non-negative number — the number of points his favorite coder earned in the contest. Vasya wrote out the points for the contest in the order, in which the contests run (naturally, no two contests ran simultaneously).
Vasya considers a coder's performance in a contest amazing in two situations: he can break either his best or his worst performance record. First, it is amazing if during the contest the coder earns strictly more points that he earned on each past contest. Second, it is amazing if during the contest the coder earns strictly less points that he earned on each past contest. A coder's first contest isn't considered amazing. Now he wants to count the number of amazing performances the coder had throughout his whole history of participating in contests. But the list of earned points turned out long and Vasya can't code... That's why he asks you to help him. | The first line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of contests where the coder participated.
The next line contains *n* space-separated non-negative integer numbers — they are the points which the coder has earned. The points are given in the chronological order. All points do not exceed 10000. | Print the single number — the number of amazing performances the coder has had during his whole history of participating in the contests. | [
"5\n100 50 200 150 200\n",
"10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242\n"
] | [
"2\n",
"4\n"
] | In the first sample the performances number 2 and 3 are amazing.
In the second sample the performances number 2, 4, 9 and 10 are amazing. | 500 | [
{
"input": "5\n100 50 200 150 200",
"output": "2"
},
{
"input": "10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242",
"output": "4"
},
{
"input": "1\n6",
"output": "0"
},
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "5\n100 36 53 7 81",
"output": "2"
... | 1,684,220,666 | 2,147,483,647 | Python 3 | OK | TESTS | 37 | 92 | 0 | num = int(input())
arr = list(map(int,input().split()))
total_performance = 0
arr1 = [arr[0]]
for i in range(1,len(arr)):
min1 = min(arr1)
max1 = max(arr1)
if arr[i]>max1 or arr[i]<min1:
total_performance+=1
arr1.append(arr[i])
print(total_performance) | Title: I_love_\%username\%
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya adores sport programming. He can't write programs but he loves to watch the contests' progress. Vasya even has a favorite coder and Vasya pays special attention to him.
One day Vasya decided to collect the results of all contests where his favorite coder participated and track the progress of his coolness. For each contest where this coder participated, he wrote out a single non-negative number — the number of points his favorite coder earned in the contest. Vasya wrote out the points for the contest in the order, in which the contests run (naturally, no two contests ran simultaneously).
Vasya considers a coder's performance in a contest amazing in two situations: he can break either his best or his worst performance record. First, it is amazing if during the contest the coder earns strictly more points that he earned on each past contest. Second, it is amazing if during the contest the coder earns strictly less points that he earned on each past contest. A coder's first contest isn't considered amazing. Now he wants to count the number of amazing performances the coder had throughout his whole history of participating in contests. But the list of earned points turned out long and Vasya can't code... That's why he asks you to help him.
Input Specification:
The first line contains the single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of contests where the coder participated.
The next line contains *n* space-separated non-negative integer numbers — they are the points which the coder has earned. The points are given in the chronological order. All points do not exceed 10000.
Output Specification:
Print the single number — the number of amazing performances the coder has had during his whole history of participating in the contests.
Demo Input:
['5\n100 50 200 150 200\n', '10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242\n']
Demo Output:
['2\n', '4\n']
Note:
In the first sample the performances number 2 and 3 are amazing.
In the second sample the performances number 2, 4, 9 and 10 are amazing. | ```python
num = int(input())
arr = list(map(int,input().split()))
total_performance = 0
arr1 = [arr[0]]
for i in range(1,len(arr)):
min1 = min(arr1)
max1 = max(arr1)
if arr[i]>max1 or arr[i]<min1:
total_performance+=1
arr1.append(arr[i])
print(total_performance)
``` | 3 | |
606 | A | Magic Spheres | PROGRAMMING | 1,200 | [
"implementation"
] | null | null | Carl is a beginner magician. He has *a* blue, *b* violet and *c* orange magic spheres. In one move he can transform two spheres of the same color into one sphere of any other color. To make a spell that has never been seen before, he needs at least *x* blue, *y* violet and *z* orange spheres. Can he get them (possible, in multiple actions)? | The first line of the input contains three integers *a*, *b* and *c* (0<=≤<=*a*,<=*b*,<=*c*<=≤<=1<=000<=000) — the number of blue, violet and orange spheres that are in the magician's disposal.
The second line of the input contains three integers, *x*, *y* and *z* (0<=≤<=*x*,<=*y*,<=*z*<=≤<=1<=000<=000) — the number of blue, violet and orange spheres that he needs to get. | If the wizard is able to obtain the required numbers of spheres, print "Yes". Otherwise, print "No". | [
"4 4 0\n2 1 2\n",
"5 6 1\n2 7 2\n",
"3 3 3\n2 2 2\n"
] | [
"Yes\n",
"No\n",
"Yes\n"
] | In the first sample the wizard has 4 blue and 4 violet spheres. In his first action he can turn two blue spheres into one violet one. After that he will have 2 blue and 5 violet spheres. Then he turns 4 violet spheres into 2 orange spheres and he ends up with 2 blue, 1 violet and 2 orange spheres, which is exactly what he needs. | 500 | [
{
"input": "4 4 0\n2 1 2",
"output": "Yes"
},
{
"input": "5 6 1\n2 7 2",
"output": "No"
},
{
"input": "3 3 3\n2 2 2",
"output": "Yes"
},
{
"input": "0 0 0\n0 0 0",
"output": "Yes"
},
{
"input": "0 0 0\n0 0 1",
"output": "No"
},
{
"input": "0 1 0\n0 0 0... | 1,491,058,275 | 2,147,483,647 | Python 3 | OK | TESTS | 79 | 62 | 5,529,600 | '''input
3 3 3
2 2 2
'''
a, b, c = map(int, input().split())
a1, b1, c1 = map(int, input().split())
s, t = 0, 0
if a > a1:
s += (a-a1)//2
else:
t += a-a1
if b > b1:
s += (b-b1)//2
else:
t += b-b1
if c > c1:
s += (c-c1)//2
else:
t += c-c1
print("Yes" if s + t >= 0 else "No")
| Title: Magic Spheres
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Carl is a beginner magician. He has *a* blue, *b* violet and *c* orange magic spheres. In one move he can transform two spheres of the same color into one sphere of any other color. To make a spell that has never been seen before, he needs at least *x* blue, *y* violet and *z* orange spheres. Can he get them (possible, in multiple actions)?
Input Specification:
The first line of the input contains three integers *a*, *b* and *c* (0<=≤<=*a*,<=*b*,<=*c*<=≤<=1<=000<=000) — the number of blue, violet and orange spheres that are in the magician's disposal.
The second line of the input contains three integers, *x*, *y* and *z* (0<=≤<=*x*,<=*y*,<=*z*<=≤<=1<=000<=000) — the number of blue, violet and orange spheres that he needs to get.
Output Specification:
If the wizard is able to obtain the required numbers of spheres, print "Yes". Otherwise, print "No".
Demo Input:
['4 4 0\n2 1 2\n', '5 6 1\n2 7 2\n', '3 3 3\n2 2 2\n']
Demo Output:
['Yes\n', 'No\n', 'Yes\n']
Note:
In the first sample the wizard has 4 blue and 4 violet spheres. In his first action he can turn two blue spheres into one violet one. After that he will have 2 blue and 5 violet spheres. Then he turns 4 violet spheres into 2 orange spheres and he ends up with 2 blue, 1 violet and 2 orange spheres, which is exactly what he needs. | ```python
'''input
3 3 3
2 2 2
'''
a, b, c = map(int, input().split())
a1, b1, c1 = map(int, input().split())
s, t = 0, 0
if a > a1:
s += (a-a1)//2
else:
t += a-a1
if b > b1:
s += (b-b1)//2
else:
t += b-b1
if c > c1:
s += (c-c1)//2
else:
t += c-c1
print("Yes" if s + t >= 0 else "No")
``` | 3 | |
112 | A | Petya and Strings | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Petya and Strings | 2 | 256 | Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison. | Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters. | If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared. | [
"aaaa\naaaA\n",
"abs\nAbz\n",
"abcdefg\nAbCdEfF\n"
] | [
"0\n",
"-1\n",
"1\n"
] | If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
- http://en.wikipedia.org/wiki/Lexicographical_order | 500 | [
{
"input": "aaaa\naaaA",
"output": "0"
},
{
"input": "abs\nAbz",
"output": "-1"
},
{
"input": "abcdefg\nAbCdEfF",
"output": "1"
},
{
"input": "asadasdasd\nasdwasdawd",
"output": "-1"
},
{
"input": "aslkjlkasdd\nasdlkjdajwi",
"output": "1"
},
{
"input":... | 1,696,871,002 | 2,147,483,647 | Python 3 | OK | TESTS | 53 | 92 | 0 | alphabet = "abcdefghijklmnopqrstuvwxyz"
def cycle():
for i in range(len(line_1)):
if line_1[i].lower() == line_2[i].lower():
continue
if alphabet.index(line_1[i].lower()) > alphabet.index(line_2[i].lower()):
return 1
else:
return -1
return 0
line_1 = input()
line_2 = input()
print(cycle()) | Title: Petya and Strings
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corresponding lowercase letter. Help Petya perform the comparison.
Input Specification:
Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters.
Output Specification:
If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared.
Demo Input:
['aaaa\naaaA\n', 'abs\nAbz\n', 'abcdefg\nAbCdEfF\n']
Demo Output:
['0\n', '-1\n', '1\n']
Note:
If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site:
- http://en.wikipedia.org/wiki/Lexicographical_order | ```python
alphabet = "abcdefghijklmnopqrstuvwxyz"
def cycle():
for i in range(len(line_1)):
if line_1[i].lower() == line_2[i].lower():
continue
if alphabet.index(line_1[i].lower()) > alphabet.index(line_2[i].lower()):
return 1
else:
return -1
return 0
line_1 = input()
line_2 = input()
print(cycle())
``` | 3.977 |
626 | A | Robot Sequence | PROGRAMMING | 1,000 | [
"brute force",
"implementation"
] | null | null | Calvin the robot lies in an infinite rectangular grid. Calvin's source code contains a list of *n* commands, each either 'U', 'R', 'D', or 'L' — instructions to move a single square up, right, down, or left, respectively. How many ways can Calvin execute a non-empty contiguous substrings of commands and return to the same square he starts in? Two substrings are considered different if they have different starting or ending indices. | The first line of the input contains a single positive integer, *n* (1<=≤<=*n*<=≤<=200) — the number of commands.
The next line contains *n* characters, each either 'U', 'R', 'D', or 'L' — Calvin's source code. | Print a single integer — the number of contiguous substrings that Calvin can execute and return to his starting square. | [
"6\nURLLDR\n",
"4\nDLUU\n",
"7\nRLRLRLR\n"
] | [
"2\n",
"0\n",
"12\n"
] | In the first case, the entire source code works, as well as the "RL" substring in the second and third characters.
Note that, in the third case, the substring "LR" appears three times, and is therefore counted three times to the total result. | 500 | [
{
"input": "6\nURLLDR",
"output": "2"
},
{
"input": "4\nDLUU",
"output": "0"
},
{
"input": "7\nRLRLRLR",
"output": "12"
},
{
"input": "1\nR",
"output": "0"
},
{
"input": "100\nURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDL... | 1,557,909,817 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 109 | 0 | def main():
n = int(input())
command = input()
count = 0
for i in range(n - 1):
counts = {'U': 0, 'D': 0, 'L': 0, 'R': 0}
for j in range(i, n):
counts[command[j]] += 1
if counts['U'] == counts['D'] and counts['L'] == counts['R']:
count += 1
print(count)
if __name__ == '__main__':
main()
| Title: Robot Sequence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Calvin the robot lies in an infinite rectangular grid. Calvin's source code contains a list of *n* commands, each either 'U', 'R', 'D', or 'L' — instructions to move a single square up, right, down, or left, respectively. How many ways can Calvin execute a non-empty contiguous substrings of commands and return to the same square he starts in? Two substrings are considered different if they have different starting or ending indices.
Input Specification:
The first line of the input contains a single positive integer, *n* (1<=≤<=*n*<=≤<=200) — the number of commands.
The next line contains *n* characters, each either 'U', 'R', 'D', or 'L' — Calvin's source code.
Output Specification:
Print a single integer — the number of contiguous substrings that Calvin can execute and return to his starting square.
Demo Input:
['6\nURLLDR\n', '4\nDLUU\n', '7\nRLRLRLR\n']
Demo Output:
['2\n', '0\n', '12\n']
Note:
In the first case, the entire source code works, as well as the "RL" substring in the second and third characters.
Note that, in the third case, the substring "LR" appears three times, and is therefore counted three times to the total result. | ```python
def main():
n = int(input())
command = input()
count = 0
for i in range(n - 1):
counts = {'U': 0, 'D': 0, 'L': 0, 'R': 0}
for j in range(i, n):
counts[command[j]] += 1
if counts['U'] == counts['D'] and counts['L'] == counts['R']:
count += 1
print(count)
if __name__ == '__main__':
main()
``` | 3 | |
868 | B | Race Against Time | PROGRAMMING | 1,400 | [
"implementation"
] | null | null | Have you ever tried to explain to the coordinator, why it is eight hours to the contest and not a single problem has been prepared yet? Misha had. And this time he has a really strong excuse: he faced a space-time paradox! Space and time replaced each other.
The entire universe turned into an enormous clock face with three hands — hour, minute, and second. Time froze, and clocks now show the time *h* hours, *m* minutes, *s* seconds.
Last time Misha talked with the coordinator at *t*1 o'clock, so now he stands on the number *t*1 on the clock face. The contest should be ready by *t*2 o'clock. In the terms of paradox it means that Misha has to go to number *t*2 somehow. Note that he doesn't have to move forward only: in these circumstances time has no direction.
Clock hands are very long, and Misha cannot get round them. He also cannot step over as it leads to the collapse of space-time. That is, if hour clock points 12 and Misha stands at 11 then he cannot move to 1 along the top arc. He has to follow all the way round the clock center (of course, if there are no other hands on his way).
Given the hands' positions, *t*1, and *t*2, find if Misha can prepare the contest on time (or should we say on space?). That is, find if he can move from *t*1 to *t*2 by the clock face. | Five integers *h*, *m*, *s*, *t*1, *t*2 (1<=≤<=*h*<=≤<=12, 0<=≤<=*m*,<=*s*<=≤<=59, 1<=≤<=*t*1,<=*t*2<=≤<=12, *t*1<=≠<=*t*2).
Misha's position and the target time do not coincide with the position of any hand. | Print "YES" (quotes for clarity), if Misha can prepare the contest on time, and "NO" otherwise.
You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES"). | [
"12 30 45 3 11\n",
"12 0 1 12 1\n",
"3 47 0 4 9\n"
] | [
"NO\n",
"YES\n",
"YES\n"
] | The three examples are shown on the pictures below from left to right. The starting position of Misha is shown with green, the ending position is shown with pink. Note that the positions of the hands on the pictures are not exact, but are close to the exact and the answer is the same. | 500 | [
{
"input": "12 30 45 3 11",
"output": "NO"
},
{
"input": "12 0 1 12 1",
"output": "YES"
},
{
"input": "3 47 0 4 9",
"output": "YES"
},
{
"input": "10 22 59 6 10",
"output": "YES"
},
{
"input": "3 1 13 12 3",
"output": "NO"
},
{
"input": "11 19 28 9 10"... | 1,507,188,880 | 1,780 | Python 3 | OK | TESTS | 133 | 62 | 204,800 | def bet(x):
return t1 <= x <= t2 or t2 <= x + 3600 * 12 <= t1 or t2 <= x <= t1
read = lambda: map(int, input().split())
h, m, s, t1, t2 = read()
h %= 12
t1 %= 12
t2 %= 12
N = 12 * 3600 + 10
nt = [0] * N
k1 = h * 3600 + 1
k2 = m * 720 + 1
k3 = s * 720
t1 *= 3600
t2 *= 3600
if t1 > t2: t1, t2 = t2, t1
ans = 'NO'
flag = 1
if bet(k1) or bet(k2) or bet(k3):
flag = 0
if flag:
ans = 'YES'
flag = 1
t1 += 12 * 3600
if bet(k1) or bet(k2) or bet(k3):
flag = 0
if flag:
ans = 'YES'
print(ans) | Title: Race Against Time
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Have you ever tried to explain to the coordinator, why it is eight hours to the contest and not a single problem has been prepared yet? Misha had. And this time he has a really strong excuse: he faced a space-time paradox! Space and time replaced each other.
The entire universe turned into an enormous clock face with three hands — hour, minute, and second. Time froze, and clocks now show the time *h* hours, *m* minutes, *s* seconds.
Last time Misha talked with the coordinator at *t*1 o'clock, so now he stands on the number *t*1 on the clock face. The contest should be ready by *t*2 o'clock. In the terms of paradox it means that Misha has to go to number *t*2 somehow. Note that he doesn't have to move forward only: in these circumstances time has no direction.
Clock hands are very long, and Misha cannot get round them. He also cannot step over as it leads to the collapse of space-time. That is, if hour clock points 12 and Misha stands at 11 then he cannot move to 1 along the top arc. He has to follow all the way round the clock center (of course, if there are no other hands on his way).
Given the hands' positions, *t*1, and *t*2, find if Misha can prepare the contest on time (or should we say on space?). That is, find if he can move from *t*1 to *t*2 by the clock face.
Input Specification:
Five integers *h*, *m*, *s*, *t*1, *t*2 (1<=≤<=*h*<=≤<=12, 0<=≤<=*m*,<=*s*<=≤<=59, 1<=≤<=*t*1,<=*t*2<=≤<=12, *t*1<=≠<=*t*2).
Misha's position and the target time do not coincide with the position of any hand.
Output Specification:
Print "YES" (quotes for clarity), if Misha can prepare the contest on time, and "NO" otherwise.
You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES").
Demo Input:
['12 30 45 3 11\n', '12 0 1 12 1\n', '3 47 0 4 9\n']
Demo Output:
['NO\n', 'YES\n', 'YES\n']
Note:
The three examples are shown on the pictures below from left to right. The starting position of Misha is shown with green, the ending position is shown with pink. Note that the positions of the hands on the pictures are not exact, but are close to the exact and the answer is the same. | ```python
def bet(x):
return t1 <= x <= t2 or t2 <= x + 3600 * 12 <= t1 or t2 <= x <= t1
read = lambda: map(int, input().split())
h, m, s, t1, t2 = read()
h %= 12
t1 %= 12
t2 %= 12
N = 12 * 3600 + 10
nt = [0] * N
k1 = h * 3600 + 1
k2 = m * 720 + 1
k3 = s * 720
t1 *= 3600
t2 *= 3600
if t1 > t2: t1, t2 = t2, t1
ans = 'NO'
flag = 1
if bet(k1) or bet(k2) or bet(k3):
flag = 0
if flag:
ans = 'YES'
flag = 1
t1 += 12 * 3600
if bet(k1) or bet(k2) or bet(k3):
flag = 0
if flag:
ans = 'YES'
print(ans)
``` | 3 | |
152 | A | Marks | PROGRAMMING | 900 | [
"implementation"
] | null | null | Vasya, or Mr. Vasily Petrov is a dean of a department in a local university. After the winter exams he got his hands on a group's gradebook.
Overall the group has *n* students. They received marks for *m* subjects. Each student got a mark from 1 to 9 (inclusive) for each subject.
Let's consider a student the best at some subject, if there is no student who got a higher mark for this subject. Let's consider a student successful, if there exists a subject he is the best at.
Your task is to find the number of successful students in the group. | The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of students and the number of subjects, correspondingly. Next *n* lines each containing *m* characters describe the gradebook. Each character in the gradebook is a number from 1 to 9. Note that the marks in a rows are not sepatated by spaces. | Print the single number — the number of successful students in the given group. | [
"3 3\n223\n232\n112\n",
"3 5\n91728\n11828\n11111\n"
] | [
"2\n",
"3\n"
] | In the first sample test the student number 1 is the best at subjects 1 and 3, student 2 is the best at subjects 1 and 2, but student 3 isn't the best at any subject.
In the second sample test each student is the best at at least one subject. | 500 | [
{
"input": "3 3\n223\n232\n112",
"output": "2"
},
{
"input": "3 5\n91728\n11828\n11111",
"output": "3"
},
{
"input": "2 2\n48\n27",
"output": "1"
},
{
"input": "2 1\n4\n6",
"output": "1"
},
{
"input": "1 2\n57",
"output": "1"
},
{
"input": "1 1\n5",
... | 1,688,884,458 | 2,147,483,647 | Python 3 | OK | TESTS | 44 | 31 | 0 | L1= [int(x) for x in input().split(" ")]
num=L1[0]
num2=L1[1]
L2=[]
ctr=0
flag=0
flag2=0
for i in range(0,num):
user=input()
L2.append(list(user))
#print(L2)
L3=[]
ctr=0
for i in range(0,num):
L4=L2[i]
for j in range(0,num2):
flag=0
suru=L4[j]
#print(suru)
for k in range(0,num):
if k!=i:
if suru<L2[k][j]:
flag=1
break
if flag==0:
ctr=ctr+1
break
#print("\n")
print(ctr)
| Title: Marks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya, or Mr. Vasily Petrov is a dean of a department in a local university. After the winter exams he got his hands on a group's gradebook.
Overall the group has *n* students. They received marks for *m* subjects. Each student got a mark from 1 to 9 (inclusive) for each subject.
Let's consider a student the best at some subject, if there is no student who got a higher mark for this subject. Let's consider a student successful, if there exists a subject he is the best at.
Your task is to find the number of successful students in the group.
Input Specification:
The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of students and the number of subjects, correspondingly. Next *n* lines each containing *m* characters describe the gradebook. Each character in the gradebook is a number from 1 to 9. Note that the marks in a rows are not sepatated by spaces.
Output Specification:
Print the single number — the number of successful students in the given group.
Demo Input:
['3 3\n223\n232\n112\n', '3 5\n91728\n11828\n11111\n']
Demo Output:
['2\n', '3\n']
Note:
In the first sample test the student number 1 is the best at subjects 1 and 3, student 2 is the best at subjects 1 and 2, but student 3 isn't the best at any subject.
In the second sample test each student is the best at at least one subject. | ```python
L1= [int(x) for x in input().split(" ")]
num=L1[0]
num2=L1[1]
L2=[]
ctr=0
flag=0
flag2=0
for i in range(0,num):
user=input()
L2.append(list(user))
#print(L2)
L3=[]
ctr=0
for i in range(0,num):
L4=L2[i]
for j in range(0,num2):
flag=0
suru=L4[j]
#print(suru)
for k in range(0,num):
if k!=i:
if suru<L2[k][j]:
flag=1
break
if flag==0:
ctr=ctr+1
break
#print("\n")
print(ctr)
``` | 3 | |
621 | A | Wet Shark and Odd and Even | PROGRAMMING | 900 | [
"implementation"
] | null | null | Today, Wet Shark is given *n* integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by 2) sum. Please, calculate this value for Wet Shark.
Note, that if Wet Shark uses no integers from the *n* integers, the sum is an even integer 0. | The first line of the input contains one integer, *n* (1<=≤<=*n*<=≤<=100<=000). The next line contains *n* space separated integers given to Wet Shark. Each of these integers is in range from 1 to 109, inclusive. | Print the maximum possible even sum that can be obtained if we use some of the given integers. | [
"3\n1 2 3\n",
"5\n999999999 999999999 999999999 999999999 999999999\n"
] | [
"6",
"3999999996"
] | In the first sample, we can simply take all three integers for a total sum of 6.
In the second sample Wet Shark should take any four out of five integers 999 999 999. | 500 | [
{
"input": "3\n1 2 3",
"output": "6"
},
{
"input": "5\n999999999 999999999 999999999 999999999 999999999",
"output": "3999999996"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "15\n39 52 88 78 46 95 84 98 55 3 68 42 6 18 98",
"output": "870"
},
{
"input": "15\... | 1,564,382,507 | 2,147,483,647 | PyPy 3 | OK | TESTS | 87 | 280 | 12,083,200 | n = int(input())
s = list(reversed(sorted(map(int, input().split()))))
odd = 0
small = s[0]
for i in s:
if i % 2 == 1:
odd += 1
if i < small:
small = i
if odd % 2 == 0:
print(sum(s))
else:
print(sum(s) - small)
# CodeForcesian
# ♥
# خودت همان تغییری باش که میخواهی در دنیا ببینی
| Title: Wet Shark and Odd and Even
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Today, Wet Shark is given *n* integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by 2) sum. Please, calculate this value for Wet Shark.
Note, that if Wet Shark uses no integers from the *n* integers, the sum is an even integer 0.
Input Specification:
The first line of the input contains one integer, *n* (1<=≤<=*n*<=≤<=100<=000). The next line contains *n* space separated integers given to Wet Shark. Each of these integers is in range from 1 to 109, inclusive.
Output Specification:
Print the maximum possible even sum that can be obtained if we use some of the given integers.
Demo Input:
['3\n1 2 3\n', '5\n999999999 999999999 999999999 999999999 999999999\n']
Demo Output:
['6', '3999999996']
Note:
In the first sample, we can simply take all three integers for a total sum of 6.
In the second sample Wet Shark should take any four out of five integers 999 999 999. | ```python
n = int(input())
s = list(reversed(sorted(map(int, input().split()))))
odd = 0
small = s[0]
for i in s:
if i % 2 == 1:
odd += 1
if i < small:
small = i
if odd % 2 == 0:
print(sum(s))
else:
print(sum(s) - small)
# CodeForcesian
# ♥
# خودت همان تغییری باش که میخواهی در دنیا ببینی
``` | 3 | |
427 | A | Police Recruits | PROGRAMMING | 800 | [
"implementation"
] | null | null | The police department of your city has just started its journey. Initially, they don’t have any manpower. So, they started hiring new recruits in groups.
Meanwhile, crimes keeps occurring within the city. One member of the police force can investigate only one crime during his/her lifetime.
If there is no police officer free (isn't busy with crime) during the occurrence of a crime, it will go untreated.
Given the chronological order of crime occurrences and recruit hirings, find the number of crimes which will go untreated. | The first line of input will contain an integer *n* (1<=≤<=*n*<=≤<=105), the number of events. The next line will contain *n* space-separated integers.
If the integer is -1 then it means a crime has occurred. Otherwise, the integer will be positive, the number of officers recruited together at that time. No more than 10 officers will be recruited at a time. | Print a single integer, the number of crimes which will go untreated. | [
"3\n-1 -1 1\n",
"8\n1 -1 1 -1 -1 1 1 1\n",
"11\n-1 -1 2 -1 -1 -1 -1 -1 -1 -1 -1\n"
] | [
"2\n",
"1\n",
"8\n"
] | Lets consider the second example:
1. Firstly one person is hired. 1. Then crime appears, the last hired person will investigate this crime. 1. One more person is hired. 1. One more crime appears, the last hired person will investigate this crime. 1. Crime appears. There is no free policeman at the time, so this crime will go untreated. 1. One more person is hired. 1. One more person is hired. 1. One more person is hired.
The answer is one, as one crime (on step 5) will go untreated. | 500 | [
{
"input": "3\n-1 -1 1",
"output": "2"
},
{
"input": "8\n1 -1 1 -1 -1 1 1 1",
"output": "1"
},
{
"input": "11\n-1 -1 2 -1 -1 -1 -1 -1 -1 -1 -1",
"output": "8"
},
{
"input": "7\n-1 -1 1 1 -1 -1 1",
"output": "2"
},
{
"input": "21\n-1 -1 -1 -1 -1 3 2 -1 6 -1 -1 2 1 ... | 1,690,280,563 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 63 | 77 | 13,107,200 | def police_recruits(crime_events):
untreated_crimes = 0
police_force = 0
for event in crime_events:
if event == -1:
if police_force > 0:
police_force -= 1
else:
untreated_crimes += 1
else:
police_force += event
return untreated_crimes
n = int(input())
crime_events = list(map(int, input().split()))
result = police_recruits(crime_events)
print(result)
| Title: Police Recruits
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The police department of your city has just started its journey. Initially, they don’t have any manpower. So, they started hiring new recruits in groups.
Meanwhile, crimes keeps occurring within the city. One member of the police force can investigate only one crime during his/her lifetime.
If there is no police officer free (isn't busy with crime) during the occurrence of a crime, it will go untreated.
Given the chronological order of crime occurrences and recruit hirings, find the number of crimes which will go untreated.
Input Specification:
The first line of input will contain an integer *n* (1<=≤<=*n*<=≤<=105), the number of events. The next line will contain *n* space-separated integers.
If the integer is -1 then it means a crime has occurred. Otherwise, the integer will be positive, the number of officers recruited together at that time. No more than 10 officers will be recruited at a time.
Output Specification:
Print a single integer, the number of crimes which will go untreated.
Demo Input:
['3\n-1 -1 1\n', '8\n1 -1 1 -1 -1 1 1 1\n', '11\n-1 -1 2 -1 -1 -1 -1 -1 -1 -1 -1\n']
Demo Output:
['2\n', '1\n', '8\n']
Note:
Lets consider the second example:
1. Firstly one person is hired. 1. Then crime appears, the last hired person will investigate this crime. 1. One more person is hired. 1. One more crime appears, the last hired person will investigate this crime. 1. Crime appears. There is no free policeman at the time, so this crime will go untreated. 1. One more person is hired. 1. One more person is hired. 1. One more person is hired.
The answer is one, as one crime (on step 5) will go untreated. | ```python
def police_recruits(crime_events):
untreated_crimes = 0
police_force = 0
for event in crime_events:
if event == -1:
if police_force > 0:
police_force -= 1
else:
untreated_crimes += 1
else:
police_force += event
return untreated_crimes
n = int(input())
crime_events = list(map(int, input().split()))
result = police_recruits(crime_events)
print(result)
``` | 3 | |
61 | A | Ultra-Fast Mathematician | PROGRAMMING | 800 | [
"implementation"
] | A. Ultra-Fast Mathematician | 2 | 256 | Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate. | There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100. | Write one line — the corresponding answer. Do not omit the leading 0s. | [
"1010100\n0100101\n",
"000\n111\n",
"1110\n1010\n",
"01110\n01100\n"
] | [
"1110001\n",
"111\n",
"0100\n",
"00010\n"
] | none | 500 | [
{
"input": "1010100\n0100101",
"output": "1110001"
},
{
"input": "000\n111",
"output": "111"
},
{
"input": "1110\n1010",
"output": "0100"
},
{
"input": "01110\n01100",
"output": "00010"
},
{
"input": "011101\n000001",
"output": "011100"
},
{
"input": "... | 1,631,873,782 | 2,147,483,647 | Python 3 | OK | TESTS | 102 | 62 | 6,758,400 | number1=input()
n1=[int(x) for x in number1]
number2=input()
n2=[int(x) for x in number2]
result=""
for i in range(len(n1)):
result=result+str(n1[i] ^ n2[i])
print(result)
| Title: Ultra-Fast Mathematician
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate.
Input Specification:
There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100.
Output Specification:
Write one line — the corresponding answer. Do not omit the leading 0s.
Demo Input:
['1010100\n0100101\n', '000\n111\n', '1110\n1010\n', '01110\n01100\n']
Demo Output:
['1110001\n', '111\n', '0100\n', '00010\n']
Note:
none | ```python
number1=input()
n1=[int(x) for x in number1]
number2=input()
n2=[int(x) for x in number2]
result=""
for i in range(len(n1)):
result=result+str(n1[i] ^ n2[i])
print(result)
``` | 3.971911 |
761 | A | Dasha and Stairs | PROGRAMMING | 1,000 | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | On her way to programming school tiger Dasha faced her first test — a huge staircase!
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their color. So on some interval of her way she calculated two values — the number of steps with even and odd numbers.
You need to check whether there is an interval of steps from the *l*-th to the *r*-th (1<=≤<=*l*<=≤<=*r*), for which values that Dasha has found are correct. | In the only line you are given two integers *a*, *b* (0<=≤<=*a*,<=*b*<=≤<=100) — the number of even and odd steps, accordingly. | In the only line print "YES", if the interval of steps described above exists, and "NO" otherwise. | [
"2 3\n",
"3 1\n"
] | [
"YES\n",
"NO\n"
] | In the first example one of suitable intervals is from 1 to 5. The interval contains two even steps — 2 and 4, and three odd: 1, 3 and 5. | 500 | [
{
"input": "2 3",
"output": "YES"
},
{
"input": "3 1",
"output": "NO"
},
{
"input": "5 4",
"output": "YES"
},
{
"input": "9 9",
"output": "YES"
},
{
"input": "85 95",
"output": "NO"
},
{
"input": "0 1",
"output": "YES"
},
{
"input": "89 25"... | 1,690,262,680 | 2,147,483,647 | PyPy 3 | OK | TESTS | 21 | 93 | 0 | a,b=list(map(int,input().split(" ")))
if a==0 and b==0:
print("NO")
else:
print("YES") if a-b==0 or abs(a-b)==1 else print("NO") | Title: Dasha and Stairs
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
On her way to programming school tiger Dasha faced her first test — a huge staircase!
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their color. So on some interval of her way she calculated two values — the number of steps with even and odd numbers.
You need to check whether there is an interval of steps from the *l*-th to the *r*-th (1<=≤<=*l*<=≤<=*r*), for which values that Dasha has found are correct.
Input Specification:
In the only line you are given two integers *a*, *b* (0<=≤<=*a*,<=*b*<=≤<=100) — the number of even and odd steps, accordingly.
Output Specification:
In the only line print "YES", if the interval of steps described above exists, and "NO" otherwise.
Demo Input:
['2 3\n', '3 1\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first example one of suitable intervals is from 1 to 5. The interval contains two even steps — 2 and 4, and three odd: 1, 3 and 5. | ```python
a,b=list(map(int,input().split(" ")))
if a==0 and b==0:
print("NO")
else:
print("YES") if a-b==0 or abs(a-b)==1 else print("NO")
``` | 3 | |
455 | A | Boredom | PROGRAMMING | 1,500 | [
"dp"
] | null | null | Alex doesn't like boredom. That's why whenever he gets bored, he comes up with games. One long winter evening he came up with a game and decided to play it.
Given a sequence *a* consisting of *n* integers. The player can make several steps. In a single step he can choose an element of the sequence (let's denote it *a**k*) and delete it, at that all elements equal to *a**k*<=+<=1 and *a**k*<=-<=1 also must be deleted from the sequence. That step brings *a**k* points to the player.
Alex is a perfectionist, so he decided to get as many points as possible. Help him. | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) that shows how many numbers are in Alex's sequence.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105). | Print a single integer — the maximum number of points that Alex can earn. | [
"2\n1 2\n",
"3\n1 2 3\n",
"9\n1 2 1 3 2 2 2 2 3\n"
] | [
"2\n",
"4\n",
"10\n"
] | Consider the third test example. At first step we need to choose any element equal to 2. After that step our sequence looks like this [2, 2, 2, 2]. Then we do 4 steps, on each step we choose any element equals to 2. In total we earn 10 points. | 500 | [
{
"input": "2\n1 2",
"output": "2"
},
{
"input": "3\n1 2 3",
"output": "4"
},
{
"input": "9\n1 2 1 3 2 2 2 2 3",
"output": "10"
},
{
"input": "5\n3 3 4 5 4",
"output": "11"
},
{
"input": "5\n5 3 5 3 4",
"output": "16"
},
{
"input": "5\n4 2 3 2 5",
... | 1,668,735,704 | 2,147,483,647 | Python 3 | OK | TESTS | 47 | 218 | 7,270,400 | # -*- coding: utf-8 -*-
"""
Created on Thu Nov 17 16:41:42 2022
@author: Lemon_Sherry
"""
n = int(input())
dp = [0] * 100002
a = sorted([int(l) for l in input().split()])
a.append(100001)
temp = 0
for i in range(n):
if temp == 0:
temp = a[i]
if a[i] == a[i + 1]:
temp += a[i]
else:
dp[a[i]] = temp
temp = 0
for i in range(1,100001):
dp[i] = max(dp[i - 1],dp[i - 2] + dp[i])
print(max(dp[-1],dp[-2])) | Title: Boredom
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Alex doesn't like boredom. That's why whenever he gets bored, he comes up with games. One long winter evening he came up with a game and decided to play it.
Given a sequence *a* consisting of *n* integers. The player can make several steps. In a single step he can choose an element of the sequence (let's denote it *a**k*) and delete it, at that all elements equal to *a**k*<=+<=1 and *a**k*<=-<=1 also must be deleted from the sequence. That step brings *a**k* points to the player.
Alex is a perfectionist, so he decided to get as many points as possible. Help him.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) that shows how many numbers are in Alex's sequence.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105).
Output Specification:
Print a single integer — the maximum number of points that Alex can earn.
Demo Input:
['2\n1 2\n', '3\n1 2 3\n', '9\n1 2 1 3 2 2 2 2 3\n']
Demo Output:
['2\n', '4\n', '10\n']
Note:
Consider the third test example. At first step we need to choose any element equal to 2. After that step our sequence looks like this [2, 2, 2, 2]. Then we do 4 steps, on each step we choose any element equals to 2. In total we earn 10 points. | ```python
# -*- coding: utf-8 -*-
"""
Created on Thu Nov 17 16:41:42 2022
@author: Lemon_Sherry
"""
n = int(input())
dp = [0] * 100002
a = sorted([int(l) for l in input().split()])
a.append(100001)
temp = 0
for i in range(n):
if temp == 0:
temp = a[i]
if a[i] == a[i + 1]:
temp += a[i]
else:
dp[a[i]] = temp
temp = 0
for i in range(1,100001):
dp[i] = max(dp[i - 1],dp[i - 2] + dp[i])
print(max(dp[-1],dp[-2]))
``` | 3 | |
71 | A | Way Too Long Words | PROGRAMMING | 800 | [
"strings"
] | A. Way Too Long Words | 1 | 256 | Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters. | Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data. | [
"4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n"
] | [
"word\nl10n\ni18n\np43s\n"
] | none | 500 | [
{
"input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis",
"output": "word\nl10n\ni18n\np43s"
},
{
"input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm",
"output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m"
},
{
"input":... | 1,683,656,394 | 2,147,483,647 | Python 3 | OK | TESTS | 20 | 46 | 0 | s=int(input())
for i in range(s):
a = input()
number=len(a)
if number>10:
n1=str(number-2)
print(a[0]+n1+a[number-1])
else:
print(a)
| 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
s=int(input())
for i in range(s):
a = input()
number=len(a)
if number>10:
n1=str(number-2)
print(a[0]+n1+a[number-1])
else:
print(a)
``` | 3.977 |
1,011 | B | Planning The Expedition | PROGRAMMING | 1,200 | [
"binary search",
"brute force",
"implementation"
] | null | null | Natasha is planning an expedition to Mars for $n$ people. One of the important tasks is to provide food for each participant.
The warehouse has $m$ daily food packages. Each package has some food type $a_i$.
Each participant must eat exactly one food package each day. Due to extreme loads, each participant must eat the same food type throughout the expedition. Different participants may eat different (or the same) types of food.
Formally, for each participant $j$ Natasha should select his food type $b_j$ and each day $j$-th participant will eat one food package of type $b_j$. The values $b_j$ for different participants may be different.
What is the maximum possible number of days the expedition can last, following the requirements above? | The first line contains two integers $n$ and $m$ ($1 \le n \le 100$, $1 \le m \le 100$) — the number of the expedition participants and the number of the daily food packages available.
The second line contains sequence of integers $a_1, a_2, \dots, a_m$ ($1 \le a_i \le 100$), where $a_i$ is the type of $i$-th food package. | Print the single integer — the number of days the expedition can last. If it is not possible to plan the expedition for even one day, print 0. | [
"4 10\n1 5 2 1 1 1 2 5 7 2\n",
"100 1\n1\n",
"2 5\n5 4 3 2 1\n",
"3 9\n42 42 42 42 42 42 42 42 42\n"
] | [
"2\n",
"0\n",
"1\n",
"3\n"
] | In the first example, Natasha can assign type $1$ food to the first participant, the same type $1$ to the second, type $5$ to the third and type $2$ to the fourth. In this case, the expedition can last for $2$ days, since each participant can get two food packages of his food type (there will be used $4$ packages of type $1$, two packages of type $2$ and two packages of type $5$).
In the second example, there are $100$ participants and only $1$ food package. In this case, the expedition can't last even $1$ day. | 1,000 | [
{
"input": "4 10\n1 5 2 1 1 1 2 5 7 2",
"output": "2"
},
{
"input": "100 1\n1",
"output": "0"
},
{
"input": "2 5\n5 4 3 2 1",
"output": "1"
},
{
"input": "3 9\n42 42 42 42 42 42 42 42 42",
"output": "3"
},
{
"input": "1 1\n100",
"output": "1"
},
{
"inp... | 1,594,291,083 | 2,147,483,647 | PyPy 3 | OK | TESTS | 31 | 140 | 21,401,600 | def f() :
n,m = list(map(int,input().split()))
l = list(map(int,input().split()))
freq = {}
for i in l :
try : freq[i]+=1
except : freq[i]=1
freq = list(freq.items())
freq.sort(key=lambda i : i[1],reverse=True)
for i in range(100,0,-1) :
cap = 0
for j in freq :
cap += j[1]//i
if cap >= n :
print(i)
break
else :
print(0)
f()
| Title: Planning The Expedition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Natasha is planning an expedition to Mars for $n$ people. One of the important tasks is to provide food for each participant.
The warehouse has $m$ daily food packages. Each package has some food type $a_i$.
Each participant must eat exactly one food package each day. Due to extreme loads, each participant must eat the same food type throughout the expedition. Different participants may eat different (or the same) types of food.
Formally, for each participant $j$ Natasha should select his food type $b_j$ and each day $j$-th participant will eat one food package of type $b_j$. The values $b_j$ for different participants may be different.
What is the maximum possible number of days the expedition can last, following the requirements above?
Input Specification:
The first line contains two integers $n$ and $m$ ($1 \le n \le 100$, $1 \le m \le 100$) — the number of the expedition participants and the number of the daily food packages available.
The second line contains sequence of integers $a_1, a_2, \dots, a_m$ ($1 \le a_i \le 100$), where $a_i$ is the type of $i$-th food package.
Output Specification:
Print the single integer — the number of days the expedition can last. If it is not possible to plan the expedition for even one day, print 0.
Demo Input:
['4 10\n1 5 2 1 1 1 2 5 7 2\n', '100 1\n1\n', '2 5\n5 4 3 2 1\n', '3 9\n42 42 42 42 42 42 42 42 42\n']
Demo Output:
['2\n', '0\n', '1\n', '3\n']
Note:
In the first example, Natasha can assign type $1$ food to the first participant, the same type $1$ to the second, type $5$ to the third and type $2$ to the fourth. In this case, the expedition can last for $2$ days, since each participant can get two food packages of his food type (there will be used $4$ packages of type $1$, two packages of type $2$ and two packages of type $5$).
In the second example, there are $100$ participants and only $1$ food package. In this case, the expedition can't last even $1$ day. | ```python
def f() :
n,m = list(map(int,input().split()))
l = list(map(int,input().split()))
freq = {}
for i in l :
try : freq[i]+=1
except : freq[i]=1
freq = list(freq.items())
freq.sort(key=lambda i : i[1],reverse=True)
for i in range(100,0,-1) :
cap = 0
for j in freq :
cap += j[1]//i
if cap >= n :
print(i)
break
else :
print(0)
f()
``` | 3 | |
626 | A | Robot Sequence | PROGRAMMING | 1,000 | [
"brute force",
"implementation"
] | null | null | Calvin the robot lies in an infinite rectangular grid. Calvin's source code contains a list of *n* commands, each either 'U', 'R', 'D', or 'L' — instructions to move a single square up, right, down, or left, respectively. How many ways can Calvin execute a non-empty contiguous substrings of commands and return to the same square he starts in? Two substrings are considered different if they have different starting or ending indices. | The first line of the input contains a single positive integer, *n* (1<=≤<=*n*<=≤<=200) — the number of commands.
The next line contains *n* characters, each either 'U', 'R', 'D', or 'L' — Calvin's source code. | Print a single integer — the number of contiguous substrings that Calvin can execute and return to his starting square. | [
"6\nURLLDR\n",
"4\nDLUU\n",
"7\nRLRLRLR\n"
] | [
"2\n",
"0\n",
"12\n"
] | In the first case, the entire source code works, as well as the "RL" substring in the second and third characters.
Note that, in the third case, the substring "LR" appears three times, and is therefore counted three times to the total result. | 500 | [
{
"input": "6\nURLLDR",
"output": "2"
},
{
"input": "4\nDLUU",
"output": "0"
},
{
"input": "7\nRLRLRLR",
"output": "12"
},
{
"input": "1\nR",
"output": "0"
},
{
"input": "100\nURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDLURDL... | 1,455,845,099 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 77 | 0 | a,b,count=int(input()),input(),0
for i in range(a-1):
for j in range(i+1,a):
c=b[i:j+1]
if c.count('D')==c.count('U') and c.count('L')==c.count('R'):count+=1
print(count) | Title: Robot Sequence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Calvin the robot lies in an infinite rectangular grid. Calvin's source code contains a list of *n* commands, each either 'U', 'R', 'D', or 'L' — instructions to move a single square up, right, down, or left, respectively. How many ways can Calvin execute a non-empty contiguous substrings of commands and return to the same square he starts in? Two substrings are considered different if they have different starting or ending indices.
Input Specification:
The first line of the input contains a single positive integer, *n* (1<=≤<=*n*<=≤<=200) — the number of commands.
The next line contains *n* characters, each either 'U', 'R', 'D', or 'L' — Calvin's source code.
Output Specification:
Print a single integer — the number of contiguous substrings that Calvin can execute and return to his starting square.
Demo Input:
['6\nURLLDR\n', '4\nDLUU\n', '7\nRLRLRLR\n']
Demo Output:
['2\n', '0\n', '12\n']
Note:
In the first case, the entire source code works, as well as the "RL" substring in the second and third characters.
Note that, in the third case, the substring "LR" appears three times, and is therefore counted three times to the total result. | ```python
a,b,count=int(input()),input(),0
for i in range(a-1):
for j in range(i+1,a):
c=b[i:j+1]
if c.count('D')==c.count('U') and c.count('L')==c.count('R'):count+=1
print(count)
``` | 3 | |
750 | A | New Year and Hurry | PROGRAMMING | 800 | [
"binary search",
"brute force",
"implementation",
"math"
] | null | null | Limak is going to participate in a contest on the last day of the 2016. The contest will start at 20:00 and will last four hours, exactly until midnight. There will be *n* problems, sorted by difficulty, i.e. problem 1 is the easiest and problem *n* is the hardest. Limak knows it will take him 5·*i* minutes to solve the *i*-th problem.
Limak's friends organize a New Year's Eve party and Limak wants to be there at midnight or earlier. He needs *k* minutes to get there from his house, where he will participate in the contest first.
How many problems can Limak solve if he wants to make it to the party? | The only line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=10, 1<=≤<=*k*<=≤<=240) — the number of the problems in the contest and the number of minutes Limak needs to get to the party from his house. | Print one integer, denoting the maximum possible number of problems Limak can solve so that he could get to the party at midnight or earlier. | [
"3 222\n",
"4 190\n",
"7 1\n"
] | [
"2\n",
"4\n",
"7\n"
] | In the first sample, there are 3 problems and Limak needs 222 minutes to get to the party. The three problems require 5, 10 and 15 minutes respectively. Limak can spend 5 + 10 = 15 minutes to solve first two problems. Then, at 20:15 he can leave his house to get to the party at 23:57 (after 222 minutes). In this scenario Limak would solve 2 problems. He doesn't have enough time to solve 3 problems so the answer is 2.
In the second sample, Limak can solve all 4 problems in 5 + 10 + 15 + 20 = 50 minutes. At 20:50 he will leave the house and go to the party. He will get there exactly at midnight.
In the third sample, Limak needs only 1 minute to get to the party. He has enough time to solve all 7 problems. | 500 | [
{
"input": "3 222",
"output": "2"
},
{
"input": "4 190",
"output": "4"
},
{
"input": "7 1",
"output": "7"
},
{
"input": "10 135",
"output": "6"
},
{
"input": "10 136",
"output": "5"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 240",
... | 1,684,180,781 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 52 | 62 | 0 | count , min = list(map(int,input().split()))
time = 240 - min
i = 1
while time >= 0 :
time -= i * 5
i += 1
print(count if i - 1 > count else i - 2) | Title: New Year and Hurry
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Limak is going to participate in a contest on the last day of the 2016. The contest will start at 20:00 and will last four hours, exactly until midnight. There will be *n* problems, sorted by difficulty, i.e. problem 1 is the easiest and problem *n* is the hardest. Limak knows it will take him 5·*i* minutes to solve the *i*-th problem.
Limak's friends organize a New Year's Eve party and Limak wants to be there at midnight or earlier. He needs *k* minutes to get there from his house, where he will participate in the contest first.
How many problems can Limak solve if he wants to make it to the party?
Input Specification:
The only line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=10, 1<=≤<=*k*<=≤<=240) — the number of the problems in the contest and the number of minutes Limak needs to get to the party from his house.
Output Specification:
Print one integer, denoting the maximum possible number of problems Limak can solve so that he could get to the party at midnight or earlier.
Demo Input:
['3 222\n', '4 190\n', '7 1\n']
Demo Output:
['2\n', '4\n', '7\n']
Note:
In the first sample, there are 3 problems and Limak needs 222 minutes to get to the party. The three problems require 5, 10 and 15 minutes respectively. Limak can spend 5 + 10 = 15 minutes to solve first two problems. Then, at 20:15 he can leave his house to get to the party at 23:57 (after 222 minutes). In this scenario Limak would solve 2 problems. He doesn't have enough time to solve 3 problems so the answer is 2.
In the second sample, Limak can solve all 4 problems in 5 + 10 + 15 + 20 = 50 minutes. At 20:50 he will leave the house and go to the party. He will get there exactly at midnight.
In the third sample, Limak needs only 1 minute to get to the party. He has enough time to solve all 7 problems. | ```python
count , min = list(map(int,input().split()))
time = 240 - min
i = 1
while time >= 0 :
time -= i * 5
i += 1
print(count if i - 1 > count else i - 2)
``` | 3 | |
688 | B | Lovely Palindromes | PROGRAMMING | 1,000 | [
"constructive algorithms",
"math"
] | null | null | Pari has a friend who loves palindrome numbers. A palindrome number is a number that reads the same forward or backward. For example 12321, 100001 and 1 are palindrome numbers, while 112 and 1021 are not.
Pari is trying to love them too, but only very special and gifted people can understand the beauty behind palindrome numbers. Pari loves integers with even length (i.e. the numbers with even number of digits), so she tries to see a lot of big palindrome numbers with even length (like a 2-digit 11 or 6-digit 122221), so maybe she could see something in them.
Now Pari asks you to write a program that gets a huge integer *n* from the input and tells what is the *n*-th even-length positive palindrome number? | The only line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10100<=000). | Print the *n*-th even-length palindrome number. | [
"1\n",
"10\n"
] | [
"11\n",
"1001\n"
] | The first 10 even-length palindrome numbers are 11, 22, 33, ... , 88, 99 and 1001. | 1,000 | [
{
"input": "1",
"output": "11"
},
{
"input": "10",
"output": "1001"
},
{
"input": "11",
"output": "1111"
},
{
"input": "12",
"output": "1221"
},
{
"input": "100",
"output": "100001"
},
{
"input": "1321",
"output": "13211231"
},
{
"input": "... | 1,600,448,813 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 109 | 409,600 | a = str(input())
print(a,end='')
print(a[::-1])
| Title: Lovely Palindromes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pari has a friend who loves palindrome numbers. A palindrome number is a number that reads the same forward or backward. For example 12321, 100001 and 1 are palindrome numbers, while 112 and 1021 are not.
Pari is trying to love them too, but only very special and gifted people can understand the beauty behind palindrome numbers. Pari loves integers with even length (i.e. the numbers with even number of digits), so she tries to see a lot of big palindrome numbers with even length (like a 2-digit 11 or 6-digit 122221), so maybe she could see something in them.
Now Pari asks you to write a program that gets a huge integer *n* from the input and tells what is the *n*-th even-length positive palindrome number?
Input Specification:
The only line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10100<=000).
Output Specification:
Print the *n*-th even-length palindrome number.
Demo Input:
['1\n', '10\n']
Demo Output:
['11\n', '1001\n']
Note:
The first 10 even-length palindrome numbers are 11, 22, 33, ... , 88, 99 and 1001. | ```python
a = str(input())
print(a,end='')
print(a[::-1])
``` | 3 | |
22 | A | Second Order Statistics | PROGRAMMING | 800 | [
"brute force"
] | A. Second Order Statistics | 2 | 256 | Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem. | The first input line contains integer *n* (1<=≤<=*n*<=≤<=100) — amount of numbers in the sequence. The second line contains *n* space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value. | If the given sequence has the second order statistics, output this order statistics, otherwise output NO. | [
"4\n1 2 2 -4\n",
"5\n1 2 3 1 1\n"
] | [
"1\n",
"2\n"
] | none | 0 | [
{
"input": "4\n1 2 2 -4",
"output": "1"
},
{
"input": "5\n1 2 3 1 1",
"output": "2"
},
{
"input": "1\n28",
"output": "NO"
},
{
"input": "2\n-28 12",
"output": "12"
},
{
"input": "3\n-83 40 -80",
"output": "-80"
},
{
"input": "8\n93 77 -92 26 21 -48 53 ... | 1,609,425,669 | 2,147,483,647 | Python 3 | OK | TESTS | 31 | 218 | 0 | """
Second Order Statistics
"""
n = int(input())
sequence = [int(x) for x in input().split()]
firstOrderStatistics = min(sequence)
if sequence.count(firstOrderStatistics) == len(sequence):
print("NO")
else:
sequence = sorted(sequence)
secondOrderStatistics = sequence[0]
for i in sequence:
if(i > secondOrderStatistics):
secondOrderStatistics = i
break
print(secondOrderStatistics) | Title: Second Order Statistics
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Once Bob needed to find the second order statistics of a sequence of integer numbers. Lets choose each number from the sequence exactly once and sort them. The value on the second position is the second order statistics of the given sequence. In other words it is the smallest element strictly greater than the minimum. Help Bob solve this problem.
Input Specification:
The first input line contains integer *n* (1<=≤<=*n*<=≤<=100) — amount of numbers in the sequence. The second line contains *n* space-separated integer numbers — elements of the sequence. These numbers don't exceed 100 in absolute value.
Output Specification:
If the given sequence has the second order statistics, output this order statistics, otherwise output NO.
Demo Input:
['4\n1 2 2 -4\n', '5\n1 2 3 1 1\n']
Demo Output:
['1\n', '2\n']
Note:
none | ```python
"""
Second Order Statistics
"""
n = int(input())
sequence = [int(x) for x in input().split()]
firstOrderStatistics = min(sequence)
if sequence.count(firstOrderStatistics) == len(sequence):
print("NO")
else:
sequence = sorted(sequence)
secondOrderStatistics = sequence[0]
for i in sequence:
if(i > secondOrderStatistics):
secondOrderStatistics = i
break
print(secondOrderStatistics)
``` | 3.9455 |
598 | B | Queries on a String | PROGRAMMING | 1,300 | [
"implementation",
"strings"
] | null | null | You are given a string *s* and should process *m* queries. Each query is described by two 1-based indices *l**i*, *r**i* and integer *k**i*. It means that you should cyclically shift the substring *s*[*l**i*... *r**i*] *k**i* times. The queries should be processed one after another in the order they are given.
One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right.
For example, if the string *s* is abacaba and the query is *l*1<==<=3,<=*r*1<==<=6,<=*k*1<==<=1 then the answer is abbacaa. If after that we would process the query *l*2<==<=1,<=*r*2<==<=4,<=*k*2<==<=2 then we would get the string baabcaa. | The first line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=10<=000) in its initial state, where |*s*| stands for the length of *s*. It contains only lowercase English letters.
Second line contains a single integer *m* (1<=≤<=*m*<=≤<=300) — the number of queries.
The *i*-th of the next *m* lines contains three integers *l**i*, *r**i* and *k**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=|*s*|,<=1<=≤<=*k**i*<=≤<=1<=000<=000) — the description of the *i*-th query. | Print the resulting string *s* after processing all *m* queries. | [
"abacaba\n2\n3 6 1\n1 4 2\n"
] | [
"baabcaa\n"
] | The sample is described in problem statement. | 0 | [
{
"input": "abacaba\n2\n3 6 1\n1 4 2",
"output": "baabcaa"
},
{
"input": "u\n1\n1 1 1",
"output": "u"
},
{
"input": "p\n5\n1 1 5\n1 1 9\n1 1 10\n1 1 10\n1 1 4",
"output": "p"
},
{
"input": "ssssssssss\n5\n5 7 9\n3 9 3\n2 7 1\n7 7 10\n1 9 6",
"output": "ssssssssss"
},
... | 1,695,530,973 | 2,147,483,647 | Python 3 | OK | TESTS | 24 | 77 | 102,400 | a = list(input())
n = int(input())
for _ in range(n):
l,r,k = list(map(int,input().split()))
f = k%(r-l+1)
a[l-1:r] = a[l-1:r][-f:] + a[l-1:r][:-f]
print("".join(a)) | Title: Queries on a String
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a string *s* and should process *m* queries. Each query is described by two 1-based indices *l**i*, *r**i* and integer *k**i*. It means that you should cyclically shift the substring *s*[*l**i*... *r**i*] *k**i* times. The queries should be processed one after another in the order they are given.
One operation of a cyclic shift (rotation) is equivalent to moving the last character to the position of the first character and shifting all other characters one position to the right.
For example, if the string *s* is abacaba and the query is *l*1<==<=3,<=*r*1<==<=6,<=*k*1<==<=1 then the answer is abbacaa. If after that we would process the query *l*2<==<=1,<=*r*2<==<=4,<=*k*2<==<=2 then we would get the string baabcaa.
Input Specification:
The first line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=10<=000) in its initial state, where |*s*| stands for the length of *s*. It contains only lowercase English letters.
Second line contains a single integer *m* (1<=≤<=*m*<=≤<=300) — the number of queries.
The *i*-th of the next *m* lines contains three integers *l**i*, *r**i* and *k**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=|*s*|,<=1<=≤<=*k**i*<=≤<=1<=000<=000) — the description of the *i*-th query.
Output Specification:
Print the resulting string *s* after processing all *m* queries.
Demo Input:
['abacaba\n2\n3 6 1\n1 4 2\n']
Demo Output:
['baabcaa\n']
Note:
The sample is described in problem statement. | ```python
a = list(input())
n = int(input())
for _ in range(n):
l,r,k = list(map(int,input().split()))
f = k%(r-l+1)
a[l-1:r] = a[l-1:r][-f:] + a[l-1:r][:-f]
print("".join(a))
``` | 3 | |
69 | A | Young Physicist | PROGRAMMING | 1,000 | [
"implementation",
"math"
] | A. Young Physicist | 2 | 256 | A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces. | The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100). | Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not. | [
"3\n4 1 7\n-2 4 -1\n1 -5 -3\n",
"3\n3 -1 7\n-5 2 -4\n2 -1 -3\n"
] | [
"NO",
"YES"
] | none | 500 | [
{
"input": "3\n4 1 7\n-2 4 -1\n1 -5 -3",
"output": "NO"
},
{
"input": "3\n3 -1 7\n-5 2 -4\n2 -1 -3",
"output": "YES"
},
{
"input": "10\n21 32 -46\n43 -35 21\n42 2 -50\n22 40 20\n-27 -9 38\n-4 1 1\n-40 6 -31\n-13 -2 34\n-21 34 -12\n-32 -29 41",
"output": "NO"
},
{
"input": "10... | 1,593,701,391 | 2,147,483,647 | Python 3 | OK | TESTS | 81 | 218 | 307,200 | n=int(input())
x=[]
for i in range(n):
x.append(list(map(int,input().split())))
y= [[x[j][i] for j in range(len(x))] for i in range(len(x[0]))]
l=[]
for i in range(len(y)):
l.append(sum(y[i]))
c=0
for i in range(len(l)):
if l[i]==0:
c+=1
if c==len(y):
print("YES")
else:
print("NO")
| Title: Young Physicist
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A guy named Vasya attends the final grade of a high school. One day Vasya decided to watch a match of his favorite hockey team. And, as the boy loves hockey very much, even more than physics, he forgot to do the homework. Specifically, he forgot to complete his physics tasks. Next day the teacher got very angry at Vasya and decided to teach him a lesson. He gave the lazy student a seemingly easy task: You are given an idle body in space and the forces that affect it. The body can be considered as a material point with coordinates (0; 0; 0). Vasya had only to answer whether it is in equilibrium. "Piece of cake" — thought Vasya, we need only to check if the sum of all vectors is equal to 0. So, Vasya began to solve the problem. But later it turned out that there can be lots and lots of these forces, and Vasya can not cope without your help. Help him. Write a program that determines whether a body is idle or is moving by the given vectors of forces.
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100), then follow *n* lines containing three integers each: the *x**i* coordinate, the *y**i* coordinate and the *z**i* coordinate of the force vector, applied to the body (<=-<=100<=≤<=*x**i*,<=*y**i*,<=*z**i*<=≤<=100).
Output Specification:
Print the word "YES" if the body is in equilibrium, or the word "NO" if it is not.
Demo Input:
['3\n4 1 7\n-2 4 -1\n1 -5 -3\n', '3\n3 -1 7\n-5 2 -4\n2 -1 -3\n']
Demo Output:
['NO', 'YES']
Note:
none | ```python
n=int(input())
x=[]
for i in range(n):
x.append(list(map(int,input().split())))
y= [[x[j][i] for j in range(len(x))] for i in range(len(x[0]))]
l=[]
for i in range(len(y)):
l.append(sum(y[i]))
c=0
for i in range(len(l)):
if l[i]==0:
c+=1
if c==len(y):
print("YES")
else:
print("NO")
``` | 3.944928 |
47 | A | Triangular numbers | PROGRAMMING | 800 | [
"brute force",
"math"
] | A. Triangular numbers | 2 | 256 | A triangular number is the number of dots in an equilateral triangle uniformly filled with dots. For example, three dots can be arranged in a triangle; thus three is a triangular number. The *n*-th triangular number is the number of dots in a triangle with *n* dots on a side. . You can learn more about these numbers from Wikipedia (http://en.wikipedia.org/wiki/Triangular_number).
Your task is to find out if a given integer is a triangular number. | The first line contains the single number *n* (1<=≤<=*n*<=≤<=500) — the given integer. | If the given integer is a triangular number output YES, otherwise output NO. | [
"1\n",
"2\n",
"3\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | 500 | [
{
"input": "1",
"output": "YES"
},
{
"input": "2",
"output": "NO"
},
{
"input": "3",
"output": "YES"
},
{
"input": "4",
"output": "NO"
},
{
"input": "5",
"output": "NO"
},
{
"input": "6",
"output": "YES"
},
{
"input": "7",
"output": "NO... | 1,667,514,537 | 2,147,483,647 | Python 3 | OK | TESTS | 71 | 92 | 0 | num = int(input())
thing = ["0", "1", "3", "6", "10", "15", "21", "28", "36", "45", "55", "66", "78", "91", "105", "120", "136", "153", "171", "190", "210", "231", "253", "276", "300", "325", "351", "378", "406", "435", "465", "496"]
if str(num) in thing:
print("YES")
else:
print("NO") | Title: Triangular numbers
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A triangular number is the number of dots in an equilateral triangle uniformly filled with dots. For example, three dots can be arranged in a triangle; thus three is a triangular number. The *n*-th triangular number is the number of dots in a triangle with *n* dots on a side. . You can learn more about these numbers from Wikipedia (http://en.wikipedia.org/wiki/Triangular_number).
Your task is to find out if a given integer is a triangular number.
Input Specification:
The first line contains the single number *n* (1<=≤<=*n*<=≤<=500) — the given integer.
Output Specification:
If the given integer is a triangular number output YES, otherwise output NO.
Demo Input:
['1\n', '2\n', '3\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n']
Note:
none | ```python
num = int(input())
thing = ["0", "1", "3", "6", "10", "15", "21", "28", "36", "45", "55", "66", "78", "91", "105", "120", "136", "153", "171", "190", "210", "231", "253", "276", "300", "325", "351", "378", "406", "435", "465", "496"]
if str(num) in thing:
print("YES")
else:
print("NO")
``` | 3.977 |
731 | B | Coupons and Discounts | PROGRAMMING | 1,100 | [
"constructive algorithms",
"greedy"
] | null | null | The programming competition season has already started and it's time to train for ICPC. Sereja coaches his teams for a number of year and he knows that to get ready for the training session it's not enough to prepare only problems and editorial. As the training sessions lasts for several hours, teams become hungry. Thus, Sereja orders a number of pizzas so they can eat right after the end of the competition.
Teams plan to train for *n* times during *n* consecutive days. During the training session Sereja orders exactly one pizza for each team that is present this day. He already knows that there will be *a**i* teams on the *i*-th day.
There are two types of discounts in Sereja's favourite pizzeria. The first discount works if one buys two pizzas at one day, while the second is a coupon that allows to buy one pizza during two consecutive days (two pizzas in total).
As Sereja orders really a lot of pizza at this place, he is the golden client and can use the unlimited number of discounts and coupons of any type at any days.
Sereja wants to order exactly *a**i* pizzas on the *i*-th day while using only discounts and coupons. Note, that he will never buy more pizzas than he need for this particular day. Help him determine, whether he can buy the proper amount of pizzas each day if he is allowed to use only coupons and discounts. Note, that it's also prohibited to have any active coupons after the end of the day *n*. | The first line of input contains a single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of training sessions.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (0<=≤<=*a**i*<=≤<=10<=000) — the number of teams that will be present on each of the days. | If there is a way to order pizzas using only coupons and discounts and do not buy any extra pizzas on any of the days, then print "YES" (without quotes) in the only line of output. Otherwise, print "NO" (without quotes). | [
"4\n1 2 1 2\n",
"3\n1 0 1\n"
] | [
"YES\n",
"NO\n"
] | In the first sample, Sereja can use one coupon to buy one pizza on the first and the second days, one coupon to buy pizza on the second and the third days and one discount to buy pizzas on the fourth days. This is the only way to order pizzas for this sample.
In the second sample, Sereja can't use neither the coupon nor the discount without ordering an extra pizza. Note, that it's possible that there will be no teams attending the training sessions on some days. | 1,000 | [
{
"input": "4\n1 2 1 2",
"output": "YES"
},
{
"input": "3\n1 0 1",
"output": "NO"
},
{
"input": "3\n1 3 1",
"output": "NO"
},
{
"input": "3\n2 0 2",
"output": "YES"
},
{
"input": "1\n179",
"output": "NO"
},
{
"input": "10\n0 0 5 9 9 3 0 0 0 10",
"o... | 1,621,408,002 | 2,147,483,647 | Python 3 | OK | TESTS | 79 | 140 | 10,854,400 | n=int(input())
arr = map(int,input().split())
last = 0
for c in arr:
if last==0:
last = c%2
elif last==1:
if c==0:
print("NO")
exit()
else:
last = (c-1)&1
if last==1:
print("NO")
else:
print("YES") | Title: Coupons and Discounts
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The programming competition season has already started and it's time to train for ICPC. Sereja coaches his teams for a number of year and he knows that to get ready for the training session it's not enough to prepare only problems and editorial. As the training sessions lasts for several hours, teams become hungry. Thus, Sereja orders a number of pizzas so they can eat right after the end of the competition.
Teams plan to train for *n* times during *n* consecutive days. During the training session Sereja orders exactly one pizza for each team that is present this day. He already knows that there will be *a**i* teams on the *i*-th day.
There are two types of discounts in Sereja's favourite pizzeria. The first discount works if one buys two pizzas at one day, while the second is a coupon that allows to buy one pizza during two consecutive days (two pizzas in total).
As Sereja orders really a lot of pizza at this place, he is the golden client and can use the unlimited number of discounts and coupons of any type at any days.
Sereja wants to order exactly *a**i* pizzas on the *i*-th day while using only discounts and coupons. Note, that he will never buy more pizzas than he need for this particular day. Help him determine, whether he can buy the proper amount of pizzas each day if he is allowed to use only coupons and discounts. Note, that it's also prohibited to have any active coupons after the end of the day *n*.
Input Specification:
The first line of input contains a single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of training sessions.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (0<=≤<=*a**i*<=≤<=10<=000) — the number of teams that will be present on each of the days.
Output Specification:
If there is a way to order pizzas using only coupons and discounts and do not buy any extra pizzas on any of the days, then print "YES" (without quotes) in the only line of output. Otherwise, print "NO" (without quotes).
Demo Input:
['4\n1 2 1 2\n', '3\n1 0 1\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample, Sereja can use one coupon to buy one pizza on the first and the second days, one coupon to buy pizza on the second and the third days and one discount to buy pizzas on the fourth days. This is the only way to order pizzas for this sample.
In the second sample, Sereja can't use neither the coupon nor the discount without ordering an extra pizza. Note, that it's possible that there will be no teams attending the training sessions on some days. | ```python
n=int(input())
arr = map(int,input().split())
last = 0
for c in arr:
if last==0:
last = c%2
elif last==1:
if c==0:
print("NO")
exit()
else:
last = (c-1)&1
if last==1:
print("NO")
else:
print("YES")
``` | 3 | |
911 | F | Tree Destruction | PROGRAMMING | 2,400 | [
"constructive algorithms",
"dfs and similar",
"graphs",
"greedy",
"trees"
] | null | null | You are given an unweighted tree with *n* vertices. Then *n*<=-<=1 following operations are applied to the tree. A single operation consists of the following steps:
1. choose two leaves; 1. add the length of the simple path between them to the answer; 1. remove one of the chosen leaves from the tree.
Initial answer (before applying operations) is 0. Obviously after *n*<=-<=1 such operations the tree will consist of a single vertex.
Calculate the maximal possible answer you can achieve, and construct a sequence of operations that allows you to achieve this answer! | The first line contains one integer number *n* (2<=≤<=*n*<=≤<=2·105) — the number of vertices in the tree.
Next *n*<=-<=1 lines describe the edges of the tree in form *a**i*,<=*b**i* (1<=≤<=*a**i*, *b**i*<=≤<=*n*, *a**i*<=≠<=*b**i*). It is guaranteed that given graph is a tree. | In the first line print one integer number — maximal possible answer.
In the next *n*<=-<=1 lines print the operations in order of their applying in format *a**i*,<=*b**i*,<=*c**i*, where *a**i*,<=*b**i* — pair of the leaves that are chosen in the current operation (1<=≤<=*a**i*, *b**i*<=≤<=*n*), *c**i* (1<=≤<=*c**i*<=≤<=*n*, *c**i*<==<=*a**i* or *c**i*<==<=*b**i*) — choosen leaf that is removed from the tree in the current operation.
See the examples for better understanding. | [
"3\n1 2\n1 3\n",
"5\n1 2\n1 3\n2 4\n2 5\n"
] | [
"3\n2 3 3\n2 1 1\n",
"9\n3 5 5\n4 3 3\n4 1 1\n4 2 2\n"
] | none | 0 | [
{
"input": "3\n1 2\n1 3",
"output": "3\n2 3 3\n2 1 1"
},
{
"input": "5\n1 2\n1 3\n2 4\n2 5",
"output": "9\n3 5 5\n4 3 3\n4 1 1\n4 2 2"
},
{
"input": "2\n1 2",
"output": "1\n2 1 1"
},
{
"input": "4\n1 3\n1 4\n1 2",
"output": "5\n3 4 4\n2 3 3\n2 1 1"
},
{
"input": "... | 1,634,308,594 | 2,147,483,647 | PyPy 3 | OK | TESTS | 93 | 1,497 | 59,289,600 | from collections import deque
import sys
input = sys.stdin.readline
def bfs(s):
q = deque()
q.append(s)
dist = [-1] * (n + 1)
dist[s] = 0
while q:
i = q.popleft()
di = dist[i]
for j in G[i]:
if dist[j] == -1:
dist[j] = di + 1
q.append(j)
return dist
n = int(input())
G = [[] for _ in range(n + 1)]
for _ in range(n - 1):
a, b = map(int, input().split())
G[a].append(b)
G[b].append(a)
dist = bfs(1)
x = dist.index(max(dist))
dist1 = bfs(x)
y = dist1.index(max(dist1))
dist2 = bfs(y)
e = [len(G[i]) for i in range(n + 1)]
s = set([x, y])
q = deque()
for i in range(1, n + 1):
if e[i] == 1 and not i in s:
q.append(i)
m = 0
ans = []
while q:
i = q.popleft()
if dist1[i] >= dist2[i]:
ans.append((i, x, i))
m += dist1[i]
else:
ans.append((i, y, i))
m += dist2[i]
for j in G[i]:
e[j] -= 1
if e[j] == 1:
q.append(j)
while x ^ y:
ans.append((x, y, y))
m += dist1[y]
dy = dist1[y]
for z in G[y]:
if dist1[z] < dy:
y = z
break
print(m)
for a, b, c in ans:
print(a, b, c) | Title: Tree Destruction
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given an unweighted tree with *n* vertices. Then *n*<=-<=1 following operations are applied to the tree. A single operation consists of the following steps:
1. choose two leaves; 1. add the length of the simple path between them to the answer; 1. remove one of the chosen leaves from the tree.
Initial answer (before applying operations) is 0. Obviously after *n*<=-<=1 such operations the tree will consist of a single vertex.
Calculate the maximal possible answer you can achieve, and construct a sequence of operations that allows you to achieve this answer!
Input Specification:
The first line contains one integer number *n* (2<=≤<=*n*<=≤<=2·105) — the number of vertices in the tree.
Next *n*<=-<=1 lines describe the edges of the tree in form *a**i*,<=*b**i* (1<=≤<=*a**i*, *b**i*<=≤<=*n*, *a**i*<=≠<=*b**i*). It is guaranteed that given graph is a tree.
Output Specification:
In the first line print one integer number — maximal possible answer.
In the next *n*<=-<=1 lines print the operations in order of their applying in format *a**i*,<=*b**i*,<=*c**i*, where *a**i*,<=*b**i* — pair of the leaves that are chosen in the current operation (1<=≤<=*a**i*, *b**i*<=≤<=*n*), *c**i* (1<=≤<=*c**i*<=≤<=*n*, *c**i*<==<=*a**i* or *c**i*<==<=*b**i*) — choosen leaf that is removed from the tree in the current operation.
See the examples for better understanding.
Demo Input:
['3\n1 2\n1 3\n', '5\n1 2\n1 3\n2 4\n2 5\n']
Demo Output:
['3\n2 3 3\n2 1 1\n', '9\n3 5 5\n4 3 3\n4 1 1\n4 2 2\n']
Note:
none | ```python
from collections import deque
import sys
input = sys.stdin.readline
def bfs(s):
q = deque()
q.append(s)
dist = [-1] * (n + 1)
dist[s] = 0
while q:
i = q.popleft()
di = dist[i]
for j in G[i]:
if dist[j] == -1:
dist[j] = di + 1
q.append(j)
return dist
n = int(input())
G = [[] for _ in range(n + 1)]
for _ in range(n - 1):
a, b = map(int, input().split())
G[a].append(b)
G[b].append(a)
dist = bfs(1)
x = dist.index(max(dist))
dist1 = bfs(x)
y = dist1.index(max(dist1))
dist2 = bfs(y)
e = [len(G[i]) for i in range(n + 1)]
s = set([x, y])
q = deque()
for i in range(1, n + 1):
if e[i] == 1 and not i in s:
q.append(i)
m = 0
ans = []
while q:
i = q.popleft()
if dist1[i] >= dist2[i]:
ans.append((i, x, i))
m += dist1[i]
else:
ans.append((i, y, i))
m += dist2[i]
for j in G[i]:
e[j] -= 1
if e[j] == 1:
q.append(j)
while x ^ y:
ans.append((x, y, y))
m += dist1[y]
dy = dist1[y]
for z in G[y]:
if dist1[z] < dy:
y = z
break
print(m)
for a, b, c in ans:
print(a, b, c)
``` | 3 | |
641 | A | Little Artem and Grasshopper | PROGRAMMING | 1,000 | [
"implementation"
] | null | null | Little Artem found a grasshopper. He brought it to his house and constructed a jumping area for him.
The area looks like a strip of cells 1<=×<=*n*. Each cell contains the direction for the next jump and the length of that jump. Grasshopper starts in the first cell and follows the instructions written on the cells. Grasshopper stops immediately if it jumps out of the strip. Now Artem wants to find out if this will ever happen. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — length of the strip.
Next line contains a string of length *n* which consists of characters "<" and ">" only, that provide the direction of the jump from the corresponding cell. Next line contains *n* integers *d**i* (1<=≤<=*d**i*<=≤<=109) — the length of the jump from the *i*-th cell. | Print "INFINITE" (without quotes) if grasshopper will continue his jumps forever. Otherwise print "FINITE" (without quotes). | [
"2\n><\n1 2\n",
"3\n>><\n2 1 1\n"
] | [
"FINITE\n",
"INFINITE"
] | In the first sample grasshopper starts from the first cell and jumps to the right on the next cell. When he is in the second cell he needs to jump two cells left so he will jump out of the strip.
Second sample grasshopper path is 1 - 3 - 2 - 3 - 2 - 3 and so on. The path is infinite. | 500 | [
{
"input": "2\n><\n1 2",
"output": "FINITE"
},
{
"input": "3\n>><\n2 1 1",
"output": "INFINITE"
},
{
"input": "1\n>\n1000000000",
"output": "FINITE"
},
{
"input": "1\n<\n1000000000",
"output": "FINITE"
},
{
"input": "2\n>>\n1 1",
"output": "FINITE"
},
{
... | 1,630,755,747 | 2,147,483,647 | Python 3 | OK | TESTS | 60 | 109 | 14,540,800 | n=int(input())
l=list(input())
m=list(map(int,input().split()))
a=0
x=0
for i in range(n):
if l[a]=="<" :
a=a-m[a]
else:
a=a+m[a]
if a>=n or a<0 :
x=1
break
if x==1 :
print("FINITE")
else:
print("INFINITE") | Title: Little Artem and Grasshopper
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Artem found a grasshopper. He brought it to his house and constructed a jumping area for him.
The area looks like a strip of cells 1<=×<=*n*. Each cell contains the direction for the next jump and the length of that jump. Grasshopper starts in the first cell and follows the instructions written on the cells. Grasshopper stops immediately if it jumps out of the strip. Now Artem wants to find out if this will ever happen.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — length of the strip.
Next line contains a string of length *n* which consists of characters "<" and ">" only, that provide the direction of the jump from the corresponding cell. Next line contains *n* integers *d**i* (1<=≤<=*d**i*<=≤<=109) — the length of the jump from the *i*-th cell.
Output Specification:
Print "INFINITE" (without quotes) if grasshopper will continue his jumps forever. Otherwise print "FINITE" (without quotes).
Demo Input:
['2\n><\n1 2\n', '3\n>><\n2 1 1\n']
Demo Output:
['FINITE\n', 'INFINITE']
Note:
In the first sample grasshopper starts from the first cell and jumps to the right on the next cell. When he is in the second cell he needs to jump two cells left so he will jump out of the strip.
Second sample grasshopper path is 1 - 3 - 2 - 3 - 2 - 3 and so on. The path is infinite. | ```python
n=int(input())
l=list(input())
m=list(map(int,input().split()))
a=0
x=0
for i in range(n):
if l[a]=="<" :
a=a-m[a]
else:
a=a+m[a]
if a>=n or a<0 :
x=1
break
if x==1 :
print("FINITE")
else:
print("INFINITE")
``` | 3 | |
961 | A | Tetris | PROGRAMMING | 900 | [
"implementation"
] | null | null | You are given a following process.
There is a platform with $n$ columns. $1 \times 1$ squares are appearing one after another in some columns on this platform. If there are no squares in the column, a square will occupy the bottom row. Otherwise a square will appear at the top of the highest square of this column.
When all of the $n$ columns have at least one square in them, the bottom row is being removed. You will receive $1$ point for this, and all the squares left will fall down one row.
You task is to calculate the amount of points you will receive. | The first line of input contain 2 integer numbers $n$ and $m$ ($1 \le n, m \le 1000$) — the length of the platform and the number of the squares.
The next line contain $m$ integer numbers $c_1, c_2, \dots, c_m$ ($1 \le c_i \le n$) — column in which $i$-th square will appear. | Print one integer — the amount of points you will receive. | [
"3 9\n1 1 2 2 2 3 1 2 3\n"
] | [
"2\n"
] | In the sample case the answer will be equal to $2$ because after the appearing of $6$-th square will be removed one row (counts of the squares on the platform will look like $[2~ 3~ 1]$, and after removing one row will be $[1~ 2~ 0]$).
After the appearing of $9$-th square counts will be $[2~ 3~ 1]$, and after removing one row it will look like $[1~ 2~ 0]$.
So the answer will be equal to $2$. | 0 | [
{
"input": "3 9\n1 1 2 2 2 3 1 2 3",
"output": "2"
},
{
"input": "1 7\n1 1 1 1 1 1 1",
"output": "7"
},
{
"input": "1 1\n1",
"output": "1"
},
{
"input": "3 5\n1 1 1 2 3",
"output": "1"
},
{
"input": "4 6\n4 4 4 4 4 4",
"output": "0"
},
{
"input": "4 6\... | 1,552,610,755 | 2,147,483,647 | Python 3 | OK | TESTS | 29 | 109 | 0 | def num_points(n, c_list):
num_squares_in_row = {1: 0}
num_squares_in_col = {}
curr_row = 1
points = 0
for c in c_list:
if c not in num_squares_in_col:
num_squares_in_col[c] = 1
num_squares_in_row[1] += 1
else:
num_squares_in_col[c] += 1
if num_squares_in_col[c] not in num_squares_in_row:
num_squares_in_row[num_squares_in_col[c]] = 1
else:
num_squares_in_row[num_squares_in_col[c]] += 1
if num_squares_in_row[curr_row] == n:
points += 1
curr_row += 1
return points
[n, m] = [int(x) for x in input().strip().split(' ')]
c_list = [int(x) for x in input().strip().split(' ')]
print(num_points(n, c_list)) | Title: Tetris
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a following process.
There is a platform with $n$ columns. $1 \times 1$ squares are appearing one after another in some columns on this platform. If there are no squares in the column, a square will occupy the bottom row. Otherwise a square will appear at the top of the highest square of this column.
When all of the $n$ columns have at least one square in them, the bottom row is being removed. You will receive $1$ point for this, and all the squares left will fall down one row.
You task is to calculate the amount of points you will receive.
Input Specification:
The first line of input contain 2 integer numbers $n$ and $m$ ($1 \le n, m \le 1000$) — the length of the platform and the number of the squares.
The next line contain $m$ integer numbers $c_1, c_2, \dots, c_m$ ($1 \le c_i \le n$) — column in which $i$-th square will appear.
Output Specification:
Print one integer — the amount of points you will receive.
Demo Input:
['3 9\n1 1 2 2 2 3 1 2 3\n']
Demo Output:
['2\n']
Note:
In the sample case the answer will be equal to $2$ because after the appearing of $6$-th square will be removed one row (counts of the squares on the platform will look like $[2~ 3~ 1]$, and after removing one row will be $[1~ 2~ 0]$).
After the appearing of $9$-th square counts will be $[2~ 3~ 1]$, and after removing one row it will look like $[1~ 2~ 0]$.
So the answer will be equal to $2$. | ```python
def num_points(n, c_list):
num_squares_in_row = {1: 0}
num_squares_in_col = {}
curr_row = 1
points = 0
for c in c_list:
if c not in num_squares_in_col:
num_squares_in_col[c] = 1
num_squares_in_row[1] += 1
else:
num_squares_in_col[c] += 1
if num_squares_in_col[c] not in num_squares_in_row:
num_squares_in_row[num_squares_in_col[c]] = 1
else:
num_squares_in_row[num_squares_in_col[c]] += 1
if num_squares_in_row[curr_row] == n:
points += 1
curr_row += 1
return points
[n, m] = [int(x) for x in input().strip().split(' ')]
c_list = [int(x) for x in input().strip().split(' ')]
print(num_points(n, c_list))
``` | 3 | |
701 | A | Cards | PROGRAMMING | 800 | [
"greedy",
"implementation"
] | null | null | There are *n* cards (*n* is even) in the deck. Each card has a positive integer written on it. *n*<=/<=2 people will play new card game. At the beginning of the game each player gets two cards, each card is given to exactly one player.
Find the way to distribute cards such that the sum of values written of the cards will be equal for each player. It is guaranteed that it is always possible. | The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=100) — the number of cards in the deck. It is guaranteed that *n* is even.
The second line contains the sequence of *n* positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100), where *a**i* is equal to the number written on the *i*-th card. | Print *n*<=/<=2 pairs of integers, the *i*-th pair denote the cards that should be given to the *i*-th player. Each card should be given to exactly one player. Cards are numbered in the order they appear in the input.
It is guaranteed that solution exists. If there are several correct answers, you are allowed to print any of them. | [
"6\n1 5 7 4 4 3\n",
"4\n10 10 10 10\n"
] | [
"1 3\n6 2\n4 5\n",
"1 2\n3 4\n"
] | In the first sample, cards are distributed in such a way that each player has the sum of numbers written on his cards equal to 8.
In the second sample, all values *a*<sub class="lower-index">*i*</sub> are equal. Thus, any distribution is acceptable. | 500 | [
{
"input": "6\n1 5 7 4 4 3",
"output": "1 3\n6 2\n4 5"
},
{
"input": "4\n10 10 10 10",
"output": "1 4\n2 3"
},
{
"input": "100\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 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 2 2 2 2 2 2 2 2 2 ... | 1,628,656,433 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 77 | 6,758,400 | n=int(input())
x=list(map(int, input().split()))
a=sorted([[x[i], i + 1] for i in range(n)])
for i in range(n//2):
print(a[i][1], a[-i - 1][1]) | Title: Cards
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* cards (*n* is even) in the deck. Each card has a positive integer written on it. *n*<=/<=2 people will play new card game. At the beginning of the game each player gets two cards, each card is given to exactly one player.
Find the way to distribute cards such that the sum of values written of the cards will be equal for each player. It is guaranteed that it is always possible.
Input Specification:
The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=100) — the number of cards in the deck. It is guaranteed that *n* is even.
The second line contains the sequence of *n* positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100), where *a**i* is equal to the number written on the *i*-th card.
Output Specification:
Print *n*<=/<=2 pairs of integers, the *i*-th pair denote the cards that should be given to the *i*-th player. Each card should be given to exactly one player. Cards are numbered in the order they appear in the input.
It is guaranteed that solution exists. If there are several correct answers, you are allowed to print any of them.
Demo Input:
['6\n1 5 7 4 4 3\n', '4\n10 10 10 10\n']
Demo Output:
['1 3\n6 2\n4 5\n', '1 2\n3 4\n']
Note:
In the first sample, cards are distributed in such a way that each player has the sum of numbers written on his cards equal to 8.
In the second sample, all values *a*<sub class="lower-index">*i*</sub> are equal. Thus, any distribution is acceptable. | ```python
n=int(input())
x=list(map(int, input().split()))
a=sorted([[x[i], i + 1] for i in range(n)])
for i in range(n//2):
print(a[i][1], a[-i - 1][1])
``` | 3 | |
368 | B | Sereja and Suffixes | PROGRAMMING | 1,100 | [
"data structures",
"dp"
] | null | null | Sereja has an array *a*, consisting of *n* integers *a*1, *a*2, ..., *a**n*. The boy cannot sit and do nothing, he decided to study an array. Sereja took a piece of paper and wrote out *m* integers *l*1,<=*l*2,<=...,<=*l**m* (1<=≤<=*l**i*<=≤<=*n*). For each number *l**i* he wants to know how many distinct numbers are staying on the positions *l**i*, *l**i*<=+<=1, ..., *n*. Formally, he want to find the number of distinct numbers among *a**l**i*,<=*a**l**i*<=+<=1,<=...,<=*a**n*.?
Sereja wrote out the necessary array elements but the array was so large and the boy was so pressed for time. Help him, find the answer for the described question for each *l**i*. | The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105) — the array elements.
Next *m* lines contain integers *l*1,<=*l*2,<=...,<=*l**m*. The *i*-th line contains integer *l**i* (1<=≤<=*l**i*<=≤<=*n*). | Print *m* lines — on the *i*-th line print the answer to the number *l**i*. | [
"10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n"
] | [
"6\n6\n6\n6\n6\n5\n4\n3\n2\n1\n"
] | none | 1,000 | [
{
"input": "10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10",
"output": "6\n6\n6\n6\n6\n5\n4\n3\n2\n1"
},
{
"input": "8 3\n8 6 4 3 4 2 4 8\n6\n4\n2",
"output": "3\n4\n5"
},
{
"input": "7 10\n1 3 8 6 2 2 7\n4\n2\n6\n3\n4\n4\n6\n2\n7\n4",
"output": "3\n5\n2\n4\n3\n3\... | 1,674,331,712 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 343 | 8,294,400 | n, m = [int(i) for i in input().split(' ')]
a = [int(i) for i in input().split(' ')]
s = set()
indexes = []
for i in reversed(range(len(a))):
s.add(a[i])
a[i] = len(s)
for i in range(m):
indexes.append(int(input())-1)
for i in indexes:
print(a[i]) | Title: Sereja and Suffixes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sereja has an array *a*, consisting of *n* integers *a*1, *a*2, ..., *a**n*. The boy cannot sit and do nothing, he decided to study an array. Sereja took a piece of paper and wrote out *m* integers *l*1,<=*l*2,<=...,<=*l**m* (1<=≤<=*l**i*<=≤<=*n*). For each number *l**i* he wants to know how many distinct numbers are staying on the positions *l**i*, *l**i*<=+<=1, ..., *n*. Formally, he want to find the number of distinct numbers among *a**l**i*,<=*a**l**i*<=+<=1,<=...,<=*a**n*.?
Sereja wrote out the necessary array elements but the array was so large and the boy was so pressed for time. Help him, find the answer for the described question for each *l**i*.
Input Specification:
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=105). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105) — the array elements.
Next *m* lines contain integers *l*1,<=*l*2,<=...,<=*l**m*. The *i*-th line contains integer *l**i* (1<=≤<=*l**i*<=≤<=*n*).
Output Specification:
Print *m* lines — on the *i*-th line print the answer to the number *l**i*.
Demo Input:
['10 10\n1 2 3 4 1 2 3 4 100000 99999\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n']
Demo Output:
['6\n6\n6\n6\n6\n5\n4\n3\n2\n1\n']
Note:
none | ```python
n, m = [int(i) for i in input().split(' ')]
a = [int(i) for i in input().split(' ')]
s = set()
indexes = []
for i in reversed(range(len(a))):
s.add(a[i])
a[i] = len(s)
for i in range(m):
indexes.append(int(input())-1)
for i in indexes:
print(a[i])
``` | 3 | |
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"... | 1,690,381,386 | 2,147,483,647 | Python 3 | OK | TESTS | 20 | 46 | 0 | import math
def least_flagstones(a, b, d):
return math.ceil(a/d) * math.ceil(b/d)
a, b, d = map(int, input().split())
print(least_flagstones(a, b, d))
| 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
import math
def least_flagstones(a, b, d):
return math.ceil(a/d) * math.ceil(b/d)
a, b, d = map(int, input().split())
print(least_flagstones(a, b, d))
``` | 3.977 |
265 | A | Colorful Stones (Simplified Edition) | PROGRAMMING | 800 | [
"implementation"
] | null | null | There is a sequence of colorful stones. The color of each stone is one of red, green, or blue. You are given a string *s*. The *i*-th (1-based) character of *s* represents the color of the *i*-th stone. If the character is "R", "G", or "B", the color of the corresponding stone is red, green, or blue, respectively.
Initially Squirrel Liss is standing on the first stone. You perform instructions one or more times.
Each instruction is one of the three types: "RED", "GREEN", or "BLUE". After an instruction *c*, if Liss is standing on a stone whose colors is *c*, Liss will move one stone forward, else she will not move.
You are given a string *t*. The number of instructions is equal to the length of *t*, and the *i*-th character of *t* represents the *i*-th instruction.
Calculate the final position of Liss (the number of the stone she is going to stand on in the end) after performing all the instructions, and print its 1-based position. It is guaranteed that Liss don't move out of the sequence. | The input contains two lines. The first line contains the string *s* (1<=≤<=|*s*|<=≤<=50). The second line contains the string *t* (1<=≤<=|*t*|<=≤<=50). The characters of each string will be one of "R", "G", or "B". It is guaranteed that Liss don't move out of the sequence. | Print the final 1-based position of Liss in a single line. | [
"RGB\nRRR\n",
"RRRBGBRBBB\nBBBRR\n",
"BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB\n"
] | [
"2\n",
"3\n",
"15\n"
] | none | 500 | [
{
"input": "RGB\nRRR",
"output": "2"
},
{
"input": "RRRBGBRBBB\nBBBRR",
"output": "3"
},
{
"input": "BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB",
"output": "15"
},
{
"input": "G\nRRBBRBRRBR",
"output": "1"
},
... | 1,618,159,846 | 2,147,483,647 | Python 3 | OK | TESTS | 19 | 154 | 409,600 | from collections import Counter
def solve():
str1=input()
str2=input()
count,j=1,0
for i in range(len(str2)):
if str1[j]==str2[i]:
count+=1
j+=1
return count
print(solve()) | Title: Colorful Stones (Simplified Edition)
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There is a sequence of colorful stones. The color of each stone is one of red, green, or blue. You are given a string *s*. The *i*-th (1-based) character of *s* represents the color of the *i*-th stone. If the character is "R", "G", or "B", the color of the corresponding stone is red, green, or blue, respectively.
Initially Squirrel Liss is standing on the first stone. You perform instructions one or more times.
Each instruction is one of the three types: "RED", "GREEN", or "BLUE". After an instruction *c*, if Liss is standing on a stone whose colors is *c*, Liss will move one stone forward, else she will not move.
You are given a string *t*. The number of instructions is equal to the length of *t*, and the *i*-th character of *t* represents the *i*-th instruction.
Calculate the final position of Liss (the number of the stone she is going to stand on in the end) after performing all the instructions, and print its 1-based position. It is guaranteed that Liss don't move out of the sequence.
Input Specification:
The input contains two lines. The first line contains the string *s* (1<=≤<=|*s*|<=≤<=50). The second line contains the string *t* (1<=≤<=|*t*|<=≤<=50). The characters of each string will be one of "R", "G", or "B". It is guaranteed that Liss don't move out of the sequence.
Output Specification:
Print the final 1-based position of Liss in a single line.
Demo Input:
['RGB\nRRR\n', 'RRRBGBRBBB\nBBBRR\n', 'BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB\n']
Demo Output:
['2\n', '3\n', '15\n']
Note:
none | ```python
from collections import Counter
def solve():
str1=input()
str2=input()
count,j=1,0
for i in range(len(str2)):
if str1[j]==str2[i]:
count+=1
j+=1
return count
print(solve())
``` | 3 | |
801 | B | Valued Keys | PROGRAMMING | 900 | [
"constructive algorithms",
"greedy",
"strings"
] | null | null | You found a mysterious function *f*. The function takes two strings *s*1 and *s*2. These strings must consist only of lowercase English letters, and must be the same length.
The output of the function *f* is another string of the same length. The *i*-th character of the output is equal to the minimum of the *i*-th character of *s*1 and the *i*-th character of *s*2.
For example, *f*("ab", "ba") = "aa", and *f*("nzwzl", "zizez") = "niwel".
You found two strings *x* and *y* of the same length and consisting of only lowercase English letters. Find any string *z* such that *f*(*x*,<=*z*)<==<=*y*, or print -1 if no such string *z* exists. | The first line of input contains the string *x*.
The second line of input contains the string *y*.
Both *x* and *y* consist only of lowercase English letters, *x* and *y* have same length and this length is between 1 and 100. | If there is no string *z* such that *f*(*x*,<=*z*)<==<=*y*, print -1.
Otherwise, print a string *z* such that *f*(*x*,<=*z*)<==<=*y*. If there are multiple possible answers, print any of them. The string *z* should be the same length as *x* and *y* and consist only of lowercase English letters. | [
"ab\naa\n",
"nzwzl\nniwel\n",
"ab\nba\n"
] | [
"ba\n",
"xiyez\n",
"-1\n"
] | The first case is from the statement.
Another solution for the second case is "zizez"
There is no solution for the third case. That is, there is no *z* such that *f*("ab", *z*) = "ba". | 1,000 | [
{
"input": "ab\naa",
"output": "ba"
},
{
"input": "nzwzl\nniwel",
"output": "xiyez"
},
{
"input": "ab\nba",
"output": "-1"
},
{
"input": "r\nl",
"output": "l"
},
{
"input": "d\ny",
"output": "-1"
},
{
"input": "yvowz\ncajav",
"output": "cajav"
},... | 1,611,139,214 | 2,147,483,647 | PyPy 3 | OK | TESTS | 35 | 124 | 0 | s1=list(input())
s2=list(input())
s=[]
for i in range(len(s1)):
s.append(min(s1[i],s2[i]))
if(s==s2):
print(''.join(s2))
else:
print('-1')
| Title: Valued Keys
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You found a mysterious function *f*. The function takes two strings *s*1 and *s*2. These strings must consist only of lowercase English letters, and must be the same length.
The output of the function *f* is another string of the same length. The *i*-th character of the output is equal to the minimum of the *i*-th character of *s*1 and the *i*-th character of *s*2.
For example, *f*("ab", "ba") = "aa", and *f*("nzwzl", "zizez") = "niwel".
You found two strings *x* and *y* of the same length and consisting of only lowercase English letters. Find any string *z* such that *f*(*x*,<=*z*)<==<=*y*, or print -1 if no such string *z* exists.
Input Specification:
The first line of input contains the string *x*.
The second line of input contains the string *y*.
Both *x* and *y* consist only of lowercase English letters, *x* and *y* have same length and this length is between 1 and 100.
Output Specification:
If there is no string *z* such that *f*(*x*,<=*z*)<==<=*y*, print -1.
Otherwise, print a string *z* such that *f*(*x*,<=*z*)<==<=*y*. If there are multiple possible answers, print any of them. The string *z* should be the same length as *x* and *y* and consist only of lowercase English letters.
Demo Input:
['ab\naa\n', 'nzwzl\nniwel\n', 'ab\nba\n']
Demo Output:
['ba\n', 'xiyez\n', '-1\n']
Note:
The first case is from the statement.
Another solution for the second case is "zizez"
There is no solution for the third case. That is, there is no *z* such that *f*("ab", *z*) = "ba". | ```python
s1=list(input())
s2=list(input())
s=[]
for i in range(len(s1)):
s.append(min(s1[i],s2[i]))
if(s==s2):
print(''.join(s2))
else:
print('-1')
``` | 3 | |
978 | A | Remove Duplicates | PROGRAMMING | 800 | [
"implementation"
] | null | null | Petya has an array $a$ consisting of $n$ integers. He wants to remove duplicate (equal) elements.
Petya wants to leave only the rightmost entry (occurrence) for each element of the array. The relative order of the remaining unique elements should not be changed. | The first line contains a single integer $n$ ($1 \le n \le 50$) — the number of elements in Petya's array.
The following line contains a sequence $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 1\,000$) — the Petya's array. | In the first line print integer $x$ — the number of elements which will be left in Petya's array after he removed the duplicates.
In the second line print $x$ integers separated with a space — Petya's array after he removed the duplicates. For each unique element only the rightmost entry should be left. | [
"6\n1 5 5 1 6 1\n",
"5\n2 4 2 4 4\n",
"5\n6 6 6 6 6\n"
] | [
"3\n5 6 1 \n",
"2\n2 4 \n",
"1\n6 \n"
] | In the first example you should remove two integers $1$, which are in the positions $1$ and $4$. Also you should remove the integer $5$, which is in the position $2$.
In the second example you should remove integer $2$, which is in the position $1$, and two integers $4$, which are in the positions $2$ and $4$.
In the third example you should remove four integers $6$, which are in the positions $1$, $2$, $3$ and $4$. | 0 | [
{
"input": "6\n1 5 5 1 6 1",
"output": "3\n5 6 1 "
},
{
"input": "5\n2 4 2 4 4",
"output": "2\n2 4 "
},
{
"input": "5\n6 6 6 6 6",
"output": "1\n6 "
},
{
"input": "7\n1 2 3 4 2 2 3",
"output": "4\n1 4 2 3 "
},
{
"input": "9\n100 100 100 99 99 99 100 100 100",
... | 1,656,589,395 | 2,147,483,647 | Python 3 | OK | TESTS | 28 | 31 | 0 | n=input()
l=input().split()[::-1]
print(len(set(l)))
print(*sorted(set(l),key=l.index,reverse=True)) | Title: Remove Duplicates
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya has an array $a$ consisting of $n$ integers. He wants to remove duplicate (equal) elements.
Petya wants to leave only the rightmost entry (occurrence) for each element of the array. The relative order of the remaining unique elements should not be changed.
Input Specification:
The first line contains a single integer $n$ ($1 \le n \le 50$) — the number of elements in Petya's array.
The following line contains a sequence $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 1\,000$) — the Petya's array.
Output Specification:
In the first line print integer $x$ — the number of elements which will be left in Petya's array after he removed the duplicates.
In the second line print $x$ integers separated with a space — Petya's array after he removed the duplicates. For each unique element only the rightmost entry should be left.
Demo Input:
['6\n1 5 5 1 6 1\n', '5\n2 4 2 4 4\n', '5\n6 6 6 6 6\n']
Demo Output:
['3\n5 6 1 \n', '2\n2 4 \n', '1\n6 \n']
Note:
In the first example you should remove two integers $1$, which are in the positions $1$ and $4$. Also you should remove the integer $5$, which is in the position $2$.
In the second example you should remove integer $2$, which is in the position $1$, and two integers $4$, which are in the positions $2$ and $4$.
In the third example you should remove four integers $6$, which are in the positions $1$, $2$, $3$ and $4$. | ```python
n=input()
l=input().split()[::-1]
print(len(set(l)))
print(*sorted(set(l),key=l.index,reverse=True))
``` | 3 | |
268 | A | Games | PROGRAMMING | 800 | [
"brute force"
] | null | null | Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are *n* teams taking part in the national championship. The championship consists of *n*·(*n*<=-<=1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question. | The first line contains an integer *n* (2<=≤<=*n*<=≤<=30). Each of the following *n* lines contains a pair of distinct space-separated integers *h**i*, *a**i* (1<=≤<=*h**i*,<=*a**i*<=≤<=100) — the colors of the *i*-th team's home and guest uniforms, respectively. | In a single line print the number of games where the host team is going to play in the guest uniform. | [
"3\n1 2\n2 4\n3 4\n",
"4\n100 42\n42 100\n5 42\n100 5\n",
"2\n1 2\n1 2\n"
] | [
"1\n",
"5\n",
"0\n"
] | In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | 500 | [
{
"input": "3\n1 2\n2 4\n3 4",
"output": "1"
},
{
"input": "4\n100 42\n42 100\n5 42\n100 5",
"output": "5"
},
{
"input": "2\n1 2\n1 2",
"output": "0"
},
{
"input": "7\n4 7\n52 55\n16 4\n55 4\n20 99\n3 4\n7 52",
"output": "6"
},
{
"input": "10\n68 42\n1 35\n25 70\n... | 1,691,334,477 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 31 | 124 | 0 | n = int(input())
team = []
c = 0
for i in range(n):
team.append(list(map(int,input().split())))
for i in range(len(team)):
for j in range(i+1,len(team)):
if team[i][0] == team[j][1]:
c += 1
if team[i][1] == team[j][0]:
c += 1
print(c) | Title: Games
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Manao works on a sports TV. He's spent much time watching the football games of some country. After a while he began to notice different patterns. For example, each team has two sets of uniforms: home uniform and guest uniform. When a team plays a game at home, the players put on the home uniform. When a team plays as a guest on somebody else's stadium, the players put on the guest uniform. The only exception to that rule is: when the home uniform color of the host team matches the guests' uniform, the host team puts on its guest uniform as well. For each team the color of the home and guest uniform is different.
There are *n* teams taking part in the national championship. The championship consists of *n*·(*n*<=-<=1) games: each team invites each other team to its stadium. At this point Manao wondered: how many times during the championship is a host team going to put on the guest uniform? Note that the order of the games does not affect this number.
You know the colors of the home and guest uniform for each team. For simplicity, the colors are numbered by integers in such a way that no two distinct colors have the same number. Help Manao find the answer to his question.
Input Specification:
The first line contains an integer *n* (2<=≤<=*n*<=≤<=30). Each of the following *n* lines contains a pair of distinct space-separated integers *h**i*, *a**i* (1<=≤<=*h**i*,<=*a**i*<=≤<=100) — the colors of the *i*-th team's home and guest uniforms, respectively.
Output Specification:
In a single line print the number of games where the host team is going to play in the guest uniform.
Demo Input:
['3\n1 2\n2 4\n3 4\n', '4\n100 42\n42 100\n5 42\n100 5\n', '2\n1 2\n1 2\n']
Demo Output:
['1\n', '5\n', '0\n']
Note:
In the first test case the championship consists of 6 games. The only game with the event in question is the game between teams 2 and 1 on the stadium of team 2.
In the second test sample the host team will have to wear guest uniform in the games between teams: 1 and 2, 2 and 1, 2 and 3, 3 and 4, 4 and 2 (the host team is written first). | ```python
n = int(input())
team = []
c = 0
for i in range(n):
team.append(list(map(int,input().split())))
for i in range(len(team)):
for j in range(i+1,len(team)):
if team[i][0] == team[j][1]:
c += 1
if team[i][1] == team[j][0]:
c += 1
print(c)
``` | 3 | |
343 | A | Rational Resistance | PROGRAMMING | 1,600 | [
"math",
"number theory"
] | null | null | Mad scientist Mike is building a time machine in his spare time. To finish the work, he needs a resistor with a certain resistance value.
However, all Mike has is lots of identical resistors with unit resistance *R*0<==<=1. Elements with other resistance can be constructed from these resistors. In this problem, we will consider the following as elements:
1. one resistor; 1. an element and one resistor plugged in sequence; 1. an element and one resistor plugged in parallel.
With the consecutive connection the resistance of the new element equals *R*<==<=*R**e*<=+<=*R*0. With the parallel connection the resistance of the new element equals . In this case *R**e* equals the resistance of the element being connected.
Mike needs to assemble an element with a resistance equal to the fraction . Determine the smallest possible number of resistors he needs to make such an element. | The single input line contains two space-separated integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=1018). It is guaranteed that the fraction is irreducible. It is guaranteed that a solution always exists. | Print a single number — the answer to the problem.
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. | [
"1 1\n",
"3 2\n",
"199 200\n"
] | [
"1\n",
"3\n",
"200\n"
] | In the first sample, one resistor is enough.
In the second sample one can connect the resistors in parallel, take the resulting element and connect it to a third resistor consecutively. Then, we get an element with resistance <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/5305da389756aab6423d918a08ced468f05604df.png" style="max-width: 100.0%;max-height: 100.0%;"/>. We cannot make this element using two resistors. | 500 | [
{
"input": "1 1",
"output": "1"
},
{
"input": "3 2",
"output": "3"
},
{
"input": "199 200",
"output": "200"
},
{
"input": "1 1000000000000000000",
"output": "1000000000000000000"
},
{
"input": "3 1",
"output": "3"
},
{
"input": "21 8",
"output": "7... | 1,649,591,517 | 2,147,483,647 | Python 3 | OK | TESTS | 53 | 92 | 0 | def solve_gcd(a,b):
if(a%b==0):return a
#print(a//b)
return a//b+solve_gcd(b,a%b)
def solve_lcm(a,b):
return int(a*b/solve_gcd(a,b))
a,b = map(int,input().split())
print(solve_gcd(a,b))
| Title: Rational Resistance
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mad scientist Mike is building a time machine in his spare time. To finish the work, he needs a resistor with a certain resistance value.
However, all Mike has is lots of identical resistors with unit resistance *R*0<==<=1. Elements with other resistance can be constructed from these resistors. In this problem, we will consider the following as elements:
1. one resistor; 1. an element and one resistor plugged in sequence; 1. an element and one resistor plugged in parallel.
With the consecutive connection the resistance of the new element equals *R*<==<=*R**e*<=+<=*R*0. With the parallel connection the resistance of the new element equals . In this case *R**e* equals the resistance of the element being connected.
Mike needs to assemble an element with a resistance equal to the fraction . Determine the smallest possible number of resistors he needs to make such an element.
Input Specification:
The single input line contains two space-separated integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=1018). It is guaranteed that the fraction is irreducible. It is guaranteed that a solution always exists.
Output Specification:
Print a single number — the answer to the problem.
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.
Demo Input:
['1 1\n', '3 2\n', '199 200\n']
Demo Output:
['1\n', '3\n', '200\n']
Note:
In the first sample, one resistor is enough.
In the second sample one can connect the resistors in parallel, take the resulting element and connect it to a third resistor consecutively. Then, we get an element with resistance <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/5305da389756aab6423d918a08ced468f05604df.png" style="max-width: 100.0%;max-height: 100.0%;"/>. We cannot make this element using two resistors. | ```python
def solve_gcd(a,b):
if(a%b==0):return a
#print(a//b)
return a//b+solve_gcd(b,a%b)
def solve_lcm(a,b):
return int(a*b/solve_gcd(a,b))
a,b = map(int,input().split())
print(solve_gcd(a,b))
``` | 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"... | 1,666,101,194 | 2,147,483,647 | Python 3 | OK | TESTS | 32 | 92 | 0 | a=int(input())
b=list(map(int,input().split()))
n=0
for i in range(3):
if (b[i])%2==0:
n=n+1
if n>=2:
for i in b:
if i%2!=0:
print(b.index(i)+1)
else:
for i in b:
if i%2==0:
print(b.index(i)+1) | 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
a=int(input())
b=list(map(int,input().split()))
n=0
for i in range(3):
if (b[i])%2==0:
n=n+1
if n>=2:
for i in b:
if i%2!=0:
print(b.index(i)+1)
else:
for i in b:
if i%2==0:
print(b.index(i)+1)
``` | 3.977 |
600 | B | Queries about less or equal elements | PROGRAMMING | 1,300 | [
"binary search",
"data structures",
"sortings",
"two pointers"
] | null | null | You are given two arrays of integers *a* and *b*. For each element of the second array *b**j* you should find the number of elements in array *a* that are less than or equal to the value *b**j*. | The first line contains two integers *n*,<=*m* (1<=≤<=*n*,<=*m*<=≤<=2·105) — the sizes of arrays *a* and *b*.
The second line contains *n* integers — the elements of array *a* (<=-<=109<=≤<=*a**i*<=≤<=109).
The third line contains *m* integers — the elements of array *b* (<=-<=109<=≤<=*b**j*<=≤<=109). | Print *m* integers, separated by spaces: the *j*-th of which is equal to the number of such elements in array *a* that are less than or equal to the value *b**j*. | [
"5 4\n1 3 5 7 9\n6 4 2 8\n",
"5 5\n1 2 1 2 5\n3 1 4 1 5\n"
] | [
"3 2 1 4\n",
"4 2 4 2 5\n"
] | none | 0 | [
{
"input": "5 4\n1 3 5 7 9\n6 4 2 8",
"output": "3 2 1 4"
},
{
"input": "5 5\n1 2 1 2 5\n3 1 4 1 5",
"output": "4 2 4 2 5"
},
{
"input": "1 1\n-1\n-2",
"output": "0"
},
{
"input": "1 1\n-80890826\n686519510",
"output": "1"
},
{
"input": "11 11\n237468511 -77918754... | 1,661,254,039 | 2,147,483,647 | Python 3 | OK | TESTS | 60 | 1,606 | 20,275,200 | def binary(e,n,arr) :
if arr[-1] <= e : return n
l=0 ; r=n-1 ; res=0
while l < r :
mid=(l+r)//2
if arr[mid] > e : r= mid
else : l= mid+1
return l
n,m=map(int,input().split())
l=list(map(int,input().split())) ; l.sort()
arr=list(map(int,input().split()))
for x in arr: print(binary(x,n,l),end=' ')
| Title: Queries about less or equal elements
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given two arrays of integers *a* and *b*. For each element of the second array *b**j* you should find the number of elements in array *a* that are less than or equal to the value *b**j*.
Input Specification:
The first line contains two integers *n*,<=*m* (1<=≤<=*n*,<=*m*<=≤<=2·105) — the sizes of arrays *a* and *b*.
The second line contains *n* integers — the elements of array *a* (<=-<=109<=≤<=*a**i*<=≤<=109).
The third line contains *m* integers — the elements of array *b* (<=-<=109<=≤<=*b**j*<=≤<=109).
Output Specification:
Print *m* integers, separated by spaces: the *j*-th of which is equal to the number of such elements in array *a* that are less than or equal to the value *b**j*.
Demo Input:
['5 4\n1 3 5 7 9\n6 4 2 8\n', '5 5\n1 2 1 2 5\n3 1 4 1 5\n']
Demo Output:
['3 2 1 4\n', '4 2 4 2 5\n']
Note:
none | ```python
def binary(e,n,arr) :
if arr[-1] <= e : return n
l=0 ; r=n-1 ; res=0
while l < r :
mid=(l+r)//2
if arr[mid] > e : r= mid
else : l= mid+1
return l
n,m=map(int,input().split())
l=list(map(int,input().split())) ; l.sort()
arr=list(map(int,input().split()))
for x in arr: print(binary(x,n,l),end=' ')
``` | 3 | |
1,006 | A | Adjacent Replacements | PROGRAMMING | 800 | [
"implementation"
] | null | null | Mishka got an integer array $a$ of length $n$ as a birthday present (what a surprise!).
Mishka doesn't like this present and wants to change it somehow. He has invented an algorithm and called it "Mishka's Adjacent Replacements Algorithm". This algorithm can be represented as a sequence of steps:
- Replace each occurrence of $1$ in the array $a$ with $2$; - Replace each occurrence of $2$ in the array $a$ with $1$; - Replace each occurrence of $3$ in the array $a$ with $4$; - Replace each occurrence of $4$ in the array $a$ with $3$; - Replace each occurrence of $5$ in the array $a$ with $6$; - Replace each occurrence of $6$ in the array $a$ with $5$; - $\dots$ - Replace each occurrence of $10^9 - 1$ in the array $a$ with $10^9$; - Replace each occurrence of $10^9$ in the array $a$ with $10^9 - 1$.
Note that the dots in the middle of this algorithm mean that Mishka applies these replacements for each pair of adjacent integers ($2i - 1, 2i$) for each $i \in\{1, 2, \ldots, 5 \cdot 10^8\}$ as described above.
For example, for the array $a = [1, 2, 4, 5, 10]$, the following sequence of arrays represents the algorithm:
$[1, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $1$ with $2$) $\rightarrow$ $[2, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $2$ with $1$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $3$ with $4$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $4$ with $3$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $5$ with $6$) $\rightarrow$ $[1, 1, 3, 6, 10]$ $\rightarrow$ (replace all occurrences of $6$ with $5$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ $\dots$ $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $10$ with $9$) $\rightarrow$ $[1, 1, 3, 5, 9]$. The later steps of the algorithm do not change the array.
Mishka is very lazy and he doesn't want to apply these changes by himself. But he is very interested in their result. Help him find it. | The first line of the input contains one integer number $n$ ($1 \le n \le 1000$) — the number of elements in Mishka's birthday present (surprisingly, an array).
The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$) — the elements of the array. | Print $n$ integers — $b_1, b_2, \dots, b_n$, where $b_i$ is the final value of the $i$-th element of the array after applying "Mishka's Adjacent Replacements Algorithm" to the array $a$. Note that you cannot change the order of elements in the array. | [
"5\n1 2 4 5 10\n",
"10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000\n"
] | [
"1 1 3 5 9\n",
"9999 9 50605065 1 5 89 5 999999999 60506055 999999999\n"
] | The first example is described in the problem statement. | 0 | [
{
"input": "5\n1 2 4 5 10",
"output": "1 1 3 5 9"
},
{
"input": "10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000",
"output": "9999 9 50605065 1 5 89 5 999999999 60506055 999999999"
},
{
"input": "1\n999999999",
"output": "999999999"
},
{
"input": "1\n1000000000",... | 1,592,301,028 | 328 | PyPy 3 | OK | TESTS | 18 | 156 | 1,740,800 | """ 616C """
""" 1152B """
# import math
# import sys
def main():
# n ,m= map(int,input().split())
# arr = list(map(int,input().split()))
# b = list(map(int,input().split()))
# n = int(input())
# TODO:
# 1> LEETCODE FIRST PROBLEM WRITE
# 2> VALERYINE AND DEQUEUE
n = int(input())
arr = list(map(int,input().split()))
for i in range(n):
if arr[i]%2==0:
arr[i]-=1
print(*arr)
return
main()
# def test():
# t = int(input())
# while t:
# main()
# t-=1
# test()
| Title: Adjacent Replacements
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mishka got an integer array $a$ of length $n$ as a birthday present (what a surprise!).
Mishka doesn't like this present and wants to change it somehow. He has invented an algorithm and called it "Mishka's Adjacent Replacements Algorithm". This algorithm can be represented as a sequence of steps:
- Replace each occurrence of $1$ in the array $a$ with $2$; - Replace each occurrence of $2$ in the array $a$ with $1$; - Replace each occurrence of $3$ in the array $a$ with $4$; - Replace each occurrence of $4$ in the array $a$ with $3$; - Replace each occurrence of $5$ in the array $a$ with $6$; - Replace each occurrence of $6$ in the array $a$ with $5$; - $\dots$ - Replace each occurrence of $10^9 - 1$ in the array $a$ with $10^9$; - Replace each occurrence of $10^9$ in the array $a$ with $10^9 - 1$.
Note that the dots in the middle of this algorithm mean that Mishka applies these replacements for each pair of adjacent integers ($2i - 1, 2i$) for each $i \in\{1, 2, \ldots, 5 \cdot 10^8\}$ as described above.
For example, for the array $a = [1, 2, 4, 5, 10]$, the following sequence of arrays represents the algorithm:
$[1, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $1$ with $2$) $\rightarrow$ $[2, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $2$ with $1$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $3$ with $4$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $4$ with $3$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $5$ with $6$) $\rightarrow$ $[1, 1, 3, 6, 10]$ $\rightarrow$ (replace all occurrences of $6$ with $5$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ $\dots$ $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $10$ with $9$) $\rightarrow$ $[1, 1, 3, 5, 9]$. The later steps of the algorithm do not change the array.
Mishka is very lazy and he doesn't want to apply these changes by himself. But he is very interested in their result. Help him find it.
Input Specification:
The first line of the input contains one integer number $n$ ($1 \le n \le 1000$) — the number of elements in Mishka's birthday present (surprisingly, an array).
The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$) — the elements of the array.
Output Specification:
Print $n$ integers — $b_1, b_2, \dots, b_n$, where $b_i$ is the final value of the $i$-th element of the array after applying "Mishka's Adjacent Replacements Algorithm" to the array $a$. Note that you cannot change the order of elements in the array.
Demo Input:
['5\n1 2 4 5 10\n', '10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000\n']
Demo Output:
['1 1 3 5 9\n', '9999 9 50605065 1 5 89 5 999999999 60506055 999999999\n']
Note:
The first example is described in the problem statement. | ```python
""" 616C """
""" 1152B """
# import math
# import sys
def main():
# n ,m= map(int,input().split())
# arr = list(map(int,input().split()))
# b = list(map(int,input().split()))
# n = int(input())
# TODO:
# 1> LEETCODE FIRST PROBLEM WRITE
# 2> VALERYINE AND DEQUEUE
n = int(input())
arr = list(map(int,input().split()))
for i in range(n):
if arr[i]%2==0:
arr[i]-=1
print(*arr)
return
main()
# def test():
# t = int(input())
# while t:
# main()
# t-=1
# test()
``` | 3 | |
910 | A | The Way to Home | PROGRAMMING | 800 | [
"dfs and similar",
"dp",
"greedy",
"implementation"
] | null | null | A frog lives on the axis *Ox* and needs to reach home which is in the point *n*. She starts from the point 1. The frog can jump to the right at a distance not more than *d*. So, after she jumped from the point *x* she can reach the point *x*<=+<=*a*, where *a* is an integer from 1 to *d*.
For each point from 1 to *n* is known if there is a lily flower in it. The frog can jump only in points with a lilies. Guaranteed that there are lilies in the points 1 and *n*.
Determine the minimal number of jumps that the frog needs to reach home which is in the point *n* from the point 1. Consider that initially the frog is in the point 1. If the frog can not reach home, print -1. | The first line contains two integers *n* and *d* (2<=≤<=*n*<=≤<=100, 1<=≤<=*d*<=≤<=*n*<=-<=1) — the point, which the frog wants to reach, and the maximal length of the frog jump.
The second line contains a string *s* of length *n*, consisting of zeros and ones. If a character of the string *s* equals to zero, then in the corresponding point there is no lily flower. In the other case, in the corresponding point there is a lily flower. Guaranteed that the first and the last characters of the string *s* equal to one. | If the frog can not reach the home, print -1.
In the other case, print the minimal number of jumps that the frog needs to reach the home which is in the point *n* from the point 1. | [
"8 4\n10010101\n",
"4 2\n1001\n",
"8 4\n11100101\n",
"12 3\n101111100101\n"
] | [
"2\n",
"-1\n",
"3\n",
"4\n"
] | In the first example the from can reach home in two jumps: the first jump from the point 1 to the point 4 (the length of the jump is three), and the second jump from the point 4 to the point 8 (the length of the jump is four).
In the second example the frog can not reach home, because to make it she need to jump on a distance three, but the maximum length of her jump equals to two. | 500 | [
{
"input": "8 4\n10010101",
"output": "2"
},
{
"input": "4 2\n1001",
"output": "-1"
},
{
"input": "8 4\n11100101",
"output": "3"
},
{
"input": "12 3\n101111100101",
"output": "4"
},
{
"input": "5 4\n11011",
"output": "1"
},
{
"input": "5 4\n10001",
... | 1,683,931,654 | 2,147,483,647 | Python 3 | OK | TESTS | 63 | 46 | 0 | n, d = map(int, input().split())
s = input()
# check if it's possible to reach the home
if '0' * d in s:
print(-1)
else:
# initialize variables
curr = 0
jumps = 0
# iterate until reaching home
while curr < n-1:
# find the furthest reachable position
max_pos = curr
for index in range(curr + 1, min(n, curr + d + 1)):
if s[index] == '1':
max_pos = index
# check if a new position is found
if max_pos == curr:
print(-1)
break
# update variables
curr = max_pos
jumps += 1
# print the number of jumps if home is reached
if curr == n-1:
print(jumps)
| Title: The Way to Home
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A frog lives on the axis *Ox* and needs to reach home which is in the point *n*. She starts from the point 1. The frog can jump to the right at a distance not more than *d*. So, after she jumped from the point *x* she can reach the point *x*<=+<=*a*, where *a* is an integer from 1 to *d*.
For each point from 1 to *n* is known if there is a lily flower in it. The frog can jump only in points with a lilies. Guaranteed that there are lilies in the points 1 and *n*.
Determine the minimal number of jumps that the frog needs to reach home which is in the point *n* from the point 1. Consider that initially the frog is in the point 1. If the frog can not reach home, print -1.
Input Specification:
The first line contains two integers *n* and *d* (2<=≤<=*n*<=≤<=100, 1<=≤<=*d*<=≤<=*n*<=-<=1) — the point, which the frog wants to reach, and the maximal length of the frog jump.
The second line contains a string *s* of length *n*, consisting of zeros and ones. If a character of the string *s* equals to zero, then in the corresponding point there is no lily flower. In the other case, in the corresponding point there is a lily flower. Guaranteed that the first and the last characters of the string *s* equal to one.
Output Specification:
If the frog can not reach the home, print -1.
In the other case, print the minimal number of jumps that the frog needs to reach the home which is in the point *n* from the point 1.
Demo Input:
['8 4\n10010101\n', '4 2\n1001\n', '8 4\n11100101\n', '12 3\n101111100101\n']
Demo Output:
['2\n', '-1\n', '3\n', '4\n']
Note:
In the first example the from can reach home in two jumps: the first jump from the point 1 to the point 4 (the length of the jump is three), and the second jump from the point 4 to the point 8 (the length of the jump is four).
In the second example the frog can not reach home, because to make it she need to jump on a distance three, but the maximum length of her jump equals to two. | ```python
n, d = map(int, input().split())
s = input()
# check if it's possible to reach the home
if '0' * d in s:
print(-1)
else:
# initialize variables
curr = 0
jumps = 0
# iterate until reaching home
while curr < n-1:
# find the furthest reachable position
max_pos = curr
for index in range(curr + 1, min(n, curr + d + 1)):
if s[index] == '1':
max_pos = index
# check if a new position is found
if max_pos == curr:
print(-1)
break
# update variables
curr = max_pos
jumps += 1
# print the number of jumps if home is reached
if curr == n-1:
print(jumps)
``` | 3 | |
676 | A | Nicholas and Permutation | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | Nicholas has an array *a* that contains *n* distinct integers from 1 to *n*. In other words, Nicholas has a permutation of size *n*.
Nicholas want the minimum element (integer 1) and the maximum element (integer *n*) to be as far as possible from each other. He wants to perform exactly one swap in order to maximize the distance between the minimum and the maximum elements. The distance between two elements is considered to be equal to the absolute difference between their positions. | The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100) — the size of the permutation.
The second line of the input contains *n* distinct integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*), where *a**i* is equal to the element at the *i*-th position. | Print a single integer — the maximum possible distance between the minimum and the maximum elements Nicholas can achieve by performing exactly one swap. | [
"5\n4 5 1 3 2\n",
"7\n1 6 5 3 4 7 2\n",
"6\n6 5 4 3 2 1\n"
] | [
"3\n",
"6\n",
"5\n"
] | In the first sample, one may obtain the optimal answer by swapping elements 1 and 2.
In the second sample, the minimum and the maximum elements will be located in the opposite ends of the array if we swap 7 and 2.
In the third sample, the distance between the minimum and the maximum elements is already maximum possible, so we just perform some unnecessary swap, for example, one can swap 5 and 2. | 500 | [
{
"input": "5\n4 5 1 3 2",
"output": "3"
},
{
"input": "7\n1 6 5 3 4 7 2",
"output": "6"
},
{
"input": "6\n6 5 4 3 2 1",
"output": "5"
},
{
"input": "2\n1 2",
"output": "1"
},
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "3\n2 3 1",
"output": "... | 1,598,416,805 | 2,147,483,647 | Python 3 | OK | TESTS | 159 | 109 | 307,200 | n=int(input())
l=list(map(int,input().split()))
a=min(l)
b=max(l)
list1=[]
for i in l:
if i==a or i==b:
list1.append(l.index(i))
x=list1[0]-0
y=n-1-list1[1]
if x>y:
print(list1[1]-0)
else:
print(n-1-list1[0]) | Title: Nicholas and Permutation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Nicholas has an array *a* that contains *n* distinct integers from 1 to *n*. In other words, Nicholas has a permutation of size *n*.
Nicholas want the minimum element (integer 1) and the maximum element (integer *n*) to be as far as possible from each other. He wants to perform exactly one swap in order to maximize the distance between the minimum and the maximum elements. The distance between two elements is considered to be equal to the absolute difference between their positions.
Input Specification:
The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100) — the size of the permutation.
The second line of the input contains *n* distinct integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*), where *a**i* is equal to the element at the *i*-th position.
Output Specification:
Print a single integer — the maximum possible distance between the minimum and the maximum elements Nicholas can achieve by performing exactly one swap.
Demo Input:
['5\n4 5 1 3 2\n', '7\n1 6 5 3 4 7 2\n', '6\n6 5 4 3 2 1\n']
Demo Output:
['3\n', '6\n', '5\n']
Note:
In the first sample, one may obtain the optimal answer by swapping elements 1 and 2.
In the second sample, the minimum and the maximum elements will be located in the opposite ends of the array if we swap 7 and 2.
In the third sample, the distance between the minimum and the maximum elements is already maximum possible, so we just perform some unnecessary swap, for example, one can swap 5 and 2. | ```python
n=int(input())
l=list(map(int,input().split()))
a=min(l)
b=max(l)
list1=[]
for i in l:
if i==a or i==b:
list1.append(l.index(i))
x=list1[0]-0
y=n-1-list1[1]
if x>y:
print(list1[1]-0)
else:
print(n-1-list1[0])
``` | 3 | |
535 | B | Tavas and SaDDas | PROGRAMMING | 1,100 | [
"bitmasks",
"brute force",
"combinatorics",
"implementation"
] | null | null | Once again Tavas started eating coffee mix without water! Keione told him that it smells awful, but he didn't stop doing that. That's why Keione told his smart friend, SaDDas to punish him! SaDDas took Tavas' headphones and told him: "If you solve the following problem, I'll return it to you."
The problem is:
You are given a lucky number *n*. Lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
If we sort all lucky numbers in increasing order, what's the 1-based index of *n*?
Tavas is not as smart as SaDDas, so he asked you to do him a favor and solve this problem so he can have his headphones back. | The first and only line of input contains a lucky number *n* (1<=≤<=*n*<=≤<=109). | Print the index of *n* among all lucky numbers. | [
"4\n",
"7\n",
"77\n"
] | [
"1\n",
"2\n",
"6\n"
] | none | 1,000 | [
{
"input": "4",
"output": "1"
},
{
"input": "7",
"output": "2"
},
{
"input": "77",
"output": "6"
},
{
"input": "4",
"output": "1"
},
{
"input": "474744",
"output": "83"
},
{
"input": "777774",
"output": "125"
},
{
"input": "447",
"outpu... | 1,542,608,035 | 2,147,483,647 | PyPy 3 | OK | TESTS | 33 | 124 | 0 | n=input()
ln=len(n)
index=(2**ln)-1
for i in range(1,ln+1):
if n[i-1]=='7':
index+=2**(ln-i)
print(index)
| Title: Tavas and SaDDas
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Once again Tavas started eating coffee mix without water! Keione told him that it smells awful, but he didn't stop doing that. That's why Keione told his smart friend, SaDDas to punish him! SaDDas took Tavas' headphones and told him: "If you solve the following problem, I'll return it to you."
The problem is:
You are given a lucky number *n*. Lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
If we sort all lucky numbers in increasing order, what's the 1-based index of *n*?
Tavas is not as smart as SaDDas, so he asked you to do him a favor and solve this problem so he can have his headphones back.
Input Specification:
The first and only line of input contains a lucky number *n* (1<=≤<=*n*<=≤<=109).
Output Specification:
Print the index of *n* among all lucky numbers.
Demo Input:
['4\n', '7\n', '77\n']
Demo Output:
['1\n', '2\n', '6\n']
Note:
none | ```python
n=input()
ln=len(n)
index=(2**ln)-1
for i in range(1,ln+1):
if n[i-1]=='7':
index+=2**(ln-i)
print(index)
``` | 3 | |
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... | 1,673,622,002 | 2,147,483,647 | PyPy 3 | OK | TESTS | 40 | 154 | 0 | z=input()
x=str(input())
a=z[::-1]
if(a==x):
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
z=input()
x=str(input())
a=z[::-1]
if(a==x):
print("YES")
else:
print("NO")
``` | 3.9615 |
579 | A | Raising Bacteria | PROGRAMMING | 1,000 | [
"bitmasks"
] | null | null | You are a lover of bacteria. You want to raise some bacteria in a box.
Initially, the box is empty. Each morning, you can put any number of bacteria into the box. And each night, every bacterium in the box will split into two bacteria. You hope to see exactly *x* bacteria in the box at some moment.
What is the minimum number of bacteria you need to put into the box across those days? | The only line containing one integer *x* (1<=≤<=*x*<=≤<=109). | The only line containing one integer: the answer. | [
"5\n",
"8\n"
] | [
"2\n",
"1\n"
] | For the first sample, we can add one bacterium in the box in the first day morning and at the third morning there will be 4 bacteria in the box. Now we put one more resulting 5 in the box. We added 2 bacteria in the process so the answer is 2.
For the second sample, we can put one in the first morning and in the 4-th morning there will be 8 in the box. So the answer is 1. | 250 | [
{
"input": "5",
"output": "2"
},
{
"input": "8",
"output": "1"
},
{
"input": "536870911",
"output": "29"
},
{
"input": "1",
"output": "1"
},
{
"input": "343000816",
"output": "14"
},
{
"input": "559980448",
"output": "12"
},
{
"input": "697... | 1,667,059,226 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 36 | 61 | 0 | #https://codeforces.com/problemset/problem/579/A
n=int(input())
count=0
while n!=0:
count+=n&1
n=n>>1
print(count)
| Title: Raising Bacteria
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are a lover of bacteria. You want to raise some bacteria in a box.
Initially, the box is empty. Each morning, you can put any number of bacteria into the box. And each night, every bacterium in the box will split into two bacteria. You hope to see exactly *x* bacteria in the box at some moment.
What is the minimum number of bacteria you need to put into the box across those days?
Input Specification:
The only line containing one integer *x* (1<=≤<=*x*<=≤<=109).
Output Specification:
The only line containing one integer: the answer.
Demo Input:
['5\n', '8\n']
Demo Output:
['2\n', '1\n']
Note:
For the first sample, we can add one bacterium in the box in the first day morning and at the third morning there will be 4 bacteria in the box. Now we put one more resulting 5 in the box. We added 2 bacteria in the process so the answer is 2.
For the second sample, we can put one in the first morning and in the 4-th morning there will be 8 in the box. So the answer is 1. | ```python
#https://codeforces.com/problemset/problem/579/A
n=int(input())
count=0
while n!=0:
count+=n&1
n=n>>1
print(count)
``` | 3 | |
939 | A | Love Triangle | PROGRAMMING | 800 | [
"graphs"
] | null | null | As you could know there are no male planes nor female planes. However, each plane on Earth likes some other plane. There are *n* planes on Earth, numbered from 1 to *n*, and the plane with number *i* likes the plane with number *f**i*, where 1<=≤<=*f**i*<=≤<=*n* and *f**i*<=≠<=*i*.
We call a love triangle a situation in which plane *A* likes plane *B*, plane *B* likes plane *C* and plane *C* likes plane *A*. Find out if there is any love triangle on Earth. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=5000) — the number of planes.
The second line contains *n* integers *f*1,<=*f*2,<=...,<=*f**n* (1<=≤<=*f**i*<=≤<=*n*, *f**i*<=≠<=*i*), meaning that the *i*-th plane likes the *f**i*-th. | Output «YES» if there is a love triangle consisting of planes on Earth. Otherwise, output «NO».
You can output any letter in lower case or in upper case. | [
"5\n2 4 5 1 3\n",
"5\n5 5 5 5 1\n"
] | [
"YES\n",
"NO\n"
] | In first example plane 2 likes plane 4, plane 4 likes plane 1, plane 1 likes plane 2 and that is a love triangle.
In second example there are no love triangles. | 500 | [
{
"input": "5\n2 4 5 1 3",
"output": "YES"
},
{
"input": "5\n5 5 5 5 1",
"output": "NO"
},
{
"input": "3\n3 1 2",
"output": "YES"
},
{
"input": "10\n4 10 9 5 3 1 5 10 6 4",
"output": "NO"
},
{
"input": "10\n5 5 4 9 10 9 9 5 3 1",
"output": "YES"
},
{
"... | 1,652,626,413 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 16 | 62 | 30,924,800 | n = int(input())
nodes = list(map(int,input().split()))
triangle_found = 0
for i in range(len(nodes)):
if nodes[nodes[nodes[i]-1]-1]-1 == i:
triangle_found = 1
if triangle_found:
print('YES')
else:
print('NO')
| Title: Love Triangle
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
As you could know there are no male planes nor female planes. However, each plane on Earth likes some other plane. There are *n* planes on Earth, numbered from 1 to *n*, and the plane with number *i* likes the plane with number *f**i*, where 1<=≤<=*f**i*<=≤<=*n* and *f**i*<=≠<=*i*.
We call a love triangle a situation in which plane *A* likes plane *B*, plane *B* likes plane *C* and plane *C* likes plane *A*. Find out if there is any love triangle on Earth.
Input Specification:
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=5000) — the number of planes.
The second line contains *n* integers *f*1,<=*f*2,<=...,<=*f**n* (1<=≤<=*f**i*<=≤<=*n*, *f**i*<=≠<=*i*), meaning that the *i*-th plane likes the *f**i*-th.
Output Specification:
Output «YES» if there is a love triangle consisting of planes on Earth. Otherwise, output «NO».
You can output any letter in lower case or in upper case.
Demo Input:
['5\n2 4 5 1 3\n', '5\n5 5 5 5 1\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In first example plane 2 likes plane 4, plane 4 likes plane 1, plane 1 likes plane 2 and that is a love triangle.
In second example there are no love triangles. | ```python
n = int(input())
nodes = list(map(int,input().split()))
triangle_found = 0
for i in range(len(nodes)):
if nodes[nodes[nodes[i]-1]-1]-1 == i:
triangle_found = 1
if triangle_found:
print('YES')
else:
print('NO')
``` | 3 | |
638 | B | Making Genome in Berland | PROGRAMMING | 1,500 | [
"*special",
"dfs and similar",
"strings"
] | null | null | Berland scientists face a very important task - given the parts of short DNA fragments, restore the dinosaur DNA! The genome of a berland dinosaur has noting in common with the genome that we've used to: it can have 26 distinct nucleotide types, a nucleotide of each type can occur at most once. If we assign distinct English letters to all nucleotides, then the genome of a Berland dinosaur will represent a non-empty string consisting of small English letters, such that each letter occurs in it at most once.
Scientists have *n* genome fragments that are represented as substrings (non-empty sequences of consecutive nucleotides) of the sought genome.
You face the following problem: help scientists restore the dinosaur genome. It is guaranteed that the input is not contradictory and at least one suitable line always exists. When the scientists found out that you are a strong programmer, they asked you in addition to choose the one with the minimum length. If there are multiple such strings, choose any string. | The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of genome fragments.
Each of the next lines contains one descriptions of a fragment. Each fragment is a non-empty string consisting of distinct small letters of the English alphabet. It is not guaranteed that the given fragments are distinct. Fragments could arbitrarily overlap and one fragment could be a substring of another one.
It is guaranteed that there is such string of distinct letters that contains all the given fragments as substrings. | In the single line of the output print the genome of the minimum length that contains all the given parts. All the nucleotides in the genome must be distinct. If there are multiple suitable strings, print the string of the minimum length. If there also are multiple suitable strings, you can print any of them. | [
"3\nbcd\nab\ncdef\n",
"4\nx\ny\nz\nw\n"
] | [
"abcdef\n",
"xyzw\n"
] | none | 1,000 | [
{
"input": "3\nbcd\nab\ncdef",
"output": "abcdef"
},
{
"input": "4\nx\ny\nz\nw",
"output": "xyzw"
},
{
"input": "25\nef\nfg\ngh\nhi\nij\njk\nkl\nlm\nmn\nno\nab\nbc\ncd\nde\nop\npq\nqr\nrs\nst\ntu\nuv\nvw\nwx\nxy\nyz",
"output": "abcdefghijklmnopqrstuvwxyz"
},
{
"input": "1\nf... | 1,688,901,954 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 67 | 62 | 0 | def solve():
n = int(input())
gens = []
for i in range(n):
s = input()
gens.append(s)
nxt = [None] * 26
inp = [0] * 26
found = [False] * 26
for s in gens:
for ch in s:
found[ord(ch) - ord('a')] = True
for ch1, ch2 in zip(s, s[1:]):
u = ord(ch1) - ord('a')
v = ord(ch2) - ord('a')
nxt[u] = v
inp[v] += 1
for i in range(26):
if (inp[i] == 0 and nxt[i] is not None) or (found[i] and inp[i] == 0 and nxt[i] is None):
curr = i
while nxt[curr] is not None:
print(chr(curr + ord('a')), end="")
curr = nxt[curr]
print(chr(curr + ord('a')), end="")
print()
def main():
# t = int(input())
t = 1
for i in range(t):
solve()
if __name__ == "__main__":
main()
| Title: Making Genome in Berland
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Berland scientists face a very important task - given the parts of short DNA fragments, restore the dinosaur DNA! The genome of a berland dinosaur has noting in common with the genome that we've used to: it can have 26 distinct nucleotide types, a nucleotide of each type can occur at most once. If we assign distinct English letters to all nucleotides, then the genome of a Berland dinosaur will represent a non-empty string consisting of small English letters, such that each letter occurs in it at most once.
Scientists have *n* genome fragments that are represented as substrings (non-empty sequences of consecutive nucleotides) of the sought genome.
You face the following problem: help scientists restore the dinosaur genome. It is guaranteed that the input is not contradictory and at least one suitable line always exists. When the scientists found out that you are a strong programmer, they asked you in addition to choose the one with the minimum length. If there are multiple such strings, choose any string.
Input Specification:
The first line of the input contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of genome fragments.
Each of the next lines contains one descriptions of a fragment. Each fragment is a non-empty string consisting of distinct small letters of the English alphabet. It is not guaranteed that the given fragments are distinct. Fragments could arbitrarily overlap and one fragment could be a substring of another one.
It is guaranteed that there is such string of distinct letters that contains all the given fragments as substrings.
Output Specification:
In the single line of the output print the genome of the minimum length that contains all the given parts. All the nucleotides in the genome must be distinct. If there are multiple suitable strings, print the string of the minimum length. If there also are multiple suitable strings, you can print any of them.
Demo Input:
['3\nbcd\nab\ncdef\n', '4\nx\ny\nz\nw\n']
Demo Output:
['abcdef\n', 'xyzw\n']
Note:
none | ```python
def solve():
n = int(input())
gens = []
for i in range(n):
s = input()
gens.append(s)
nxt = [None] * 26
inp = [0] * 26
found = [False] * 26
for s in gens:
for ch in s:
found[ord(ch) - ord('a')] = True
for ch1, ch2 in zip(s, s[1:]):
u = ord(ch1) - ord('a')
v = ord(ch2) - ord('a')
nxt[u] = v
inp[v] += 1
for i in range(26):
if (inp[i] == 0 and nxt[i] is not None) or (found[i] and inp[i] == 0 and nxt[i] is None):
curr = i
while nxt[curr] is not None:
print(chr(curr + ord('a')), end="")
curr = nxt[curr]
print(chr(curr + ord('a')), end="")
print()
def main():
# t = int(input())
t = 1
for i in range(t):
solve()
if __name__ == "__main__":
main()
``` | 3 | |
847 | B | Preparing for Merge Sort | PROGRAMMING | 1,600 | [
"binary search",
"data structures"
] | null | null | Ivan has an array consisting of *n* different integers. He decided to reorder all elements in increasing order. Ivan loves merge sort so he decided to represent his array with one or several increasing sequences which he then plans to merge into one sorted array.
Ivan represent his array with increasing sequences with help of the following algorithm.
While there is at least one unused number in array Ivan repeats the following procedure:
- iterate through array from the left to the right; - Ivan only looks at unused numbers on current iteration; - if current number is the first unused number on this iteration or this number is greater than previous unused number on current iteration, then Ivan marks the number as used and writes it down.
For example, if Ivan's array looks like [1, 3, 2, 5, 4] then he will perform two iterations. On first iteration Ivan will use and write numbers [1, 3, 5], and on second one — [2, 4].
Write a program which helps Ivan and finds representation of the given array with one or several increasing sequences in accordance with algorithm described above. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=2·105) — the number of elements in Ivan's array.
The second line contains a sequence consisting of distinct integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — Ivan's array. | Print representation of the given array in the form of one or more increasing sequences in accordance with the algorithm described above. Each sequence must be printed on a new line. | [
"5\n1 3 2 5 4\n",
"4\n4 3 2 1\n",
"4\n10 30 50 101\n"
] | [
"1 3 5 \n2 4 \n",
"4 \n3 \n2 \n1 \n",
"10 30 50 101 \n"
] | none | 0 | [
{
"input": "5\n1 3 2 5 4",
"output": "1 3 5 \n2 4 "
},
{
"input": "4\n4 3 2 1",
"output": "4 \n3 \n2 \n1 "
},
{
"input": "4\n10 30 50 101",
"output": "10 30 50 101 "
},
{
"input": "1\n1",
"output": "1 "
},
{
"input": "1\n200000",
"output": "200000 "
},
{
... | 1,567,932,174 | 2,147,483,647 | PyPy 3 | OK | TESTS | 46 | 733 | 96,358,400 | class CodeforcesTask847BSolution:
def __init__(self):
self.result = ''
self.n = 0
self.sequence = []
def read_input(self):
self.n = int(input())
self.sequence = [int(x) for x in input().split(" ")]
def process_task(self):
mx = 2000001
ans = [[] for x in range(mx)]
crf = [0] * mx
cnt = 0
id = 0
for x in range(self.n):
if not x:
ans[cnt].append(self.sequence[x])
crf[cnt] = self.sequence[x]
else:
if self.sequence[x] <= crf[cnt]:
cnt += 1
id = cnt
else:
l = 0
r = cnt
while l < r:
mid = (l + r) // 2
if crf[mid] >= self.sequence[x]:
l = mid + 1
else:
r = mid
id = r
ans[id].append(self.sequence[x])
crf[id] = self.sequence[x]
self.result = "\n".join([" ".join([str(x) for x in row]) for row in ans[:cnt + 1]])
def get_result(self):
return self.result
if __name__ == "__main__":
Solution = CodeforcesTask847BSolution()
Solution.read_input()
Solution.process_task()
print(Solution.get_result())
| Title: Preparing for Merge Sort
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Ivan has an array consisting of *n* different integers. He decided to reorder all elements in increasing order. Ivan loves merge sort so he decided to represent his array with one or several increasing sequences which he then plans to merge into one sorted array.
Ivan represent his array with increasing sequences with help of the following algorithm.
While there is at least one unused number in array Ivan repeats the following procedure:
- iterate through array from the left to the right; - Ivan only looks at unused numbers on current iteration; - if current number is the first unused number on this iteration or this number is greater than previous unused number on current iteration, then Ivan marks the number as used and writes it down.
For example, if Ivan's array looks like [1, 3, 2, 5, 4] then he will perform two iterations. On first iteration Ivan will use and write numbers [1, 3, 5], and on second one — [2, 4].
Write a program which helps Ivan and finds representation of the given array with one or several increasing sequences in accordance with algorithm described above.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=2·105) — the number of elements in Ivan's array.
The second line contains a sequence consisting of distinct integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — Ivan's array.
Output Specification:
Print representation of the given array in the form of one or more increasing sequences in accordance with the algorithm described above. Each sequence must be printed on a new line.
Demo Input:
['5\n1 3 2 5 4\n', '4\n4 3 2 1\n', '4\n10 30 50 101\n']
Demo Output:
['1 3 5 \n2 4 \n', '4 \n3 \n2 \n1 \n', '10 30 50 101 \n']
Note:
none | ```python
class CodeforcesTask847BSolution:
def __init__(self):
self.result = ''
self.n = 0
self.sequence = []
def read_input(self):
self.n = int(input())
self.sequence = [int(x) for x in input().split(" ")]
def process_task(self):
mx = 2000001
ans = [[] for x in range(mx)]
crf = [0] * mx
cnt = 0
id = 0
for x in range(self.n):
if not x:
ans[cnt].append(self.sequence[x])
crf[cnt] = self.sequence[x]
else:
if self.sequence[x] <= crf[cnt]:
cnt += 1
id = cnt
else:
l = 0
r = cnt
while l < r:
mid = (l + r) // 2
if crf[mid] >= self.sequence[x]:
l = mid + 1
else:
r = mid
id = r
ans[id].append(self.sequence[x])
crf[id] = self.sequence[x]
self.result = "\n".join([" ".join([str(x) for x in row]) for row in ans[:cnt + 1]])
def get_result(self):
return self.result
if __name__ == "__main__":
Solution = CodeforcesTask847BSolution()
Solution.read_input()
Solution.process_task()
print(Solution.get_result())
``` | 3 | |
552 | B | Vanya and Books | PROGRAMMING | 1,200 | [
"implementation",
"math"
] | null | null | Vanya got an important task — he should enumerate books in the library and label each book with its number. Each of the *n* books should be assigned with a number from 1 to *n*. Naturally, distinct books should be assigned distinct numbers.
Vanya wants to know how many digits he will have to write down as he labels the books. | The first line contains integer *n* (1<=≤<=*n*<=≤<=109) — the number of books in the library. | Print the number of digits needed to number all the books. | [
"13\n",
"4\n"
] | [
"17\n",
"4\n"
] | Note to the first test. The books get numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, which totals to 17 digits.
Note to the second sample. The books get numbers 1, 2, 3, 4, which totals to 4 digits. | 1,000 | [
{
"input": "13",
"output": "17"
},
{
"input": "4",
"output": "4"
},
{
"input": "100",
"output": "192"
},
{
"input": "99",
"output": "189"
},
{
"input": "1000000000",
"output": "8888888899"
},
{
"input": "1000000",
"output": "5888896"
},
{
"... | 1,620,160,453 | 2,147,483,647 | Python 3 | OK | TESTS | 55 | 77 | 0 | a=input();
b=len(a);
print(int(a)*b+b-int('1'*b)) | Title: Vanya and Books
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vanya got an important task — he should enumerate books in the library and label each book with its number. Each of the *n* books should be assigned with a number from 1 to *n*. Naturally, distinct books should be assigned distinct numbers.
Vanya wants to know how many digits he will have to write down as he labels the books.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=109) — the number of books in the library.
Output Specification:
Print the number of digits needed to number all the books.
Demo Input:
['13\n', '4\n']
Demo Output:
['17\n', '4\n']
Note:
Note to the first test. The books get numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, which totals to 17 digits.
Note to the second sample. The books get numbers 1, 2, 3, 4, which totals to 4 digits. | ```python
a=input();
b=len(a);
print(int(a)*b+b-int('1'*b))
``` | 3 | |
166 | C | Median | PROGRAMMING | 1,500 | [
"greedy",
"math",
"sortings"
] | null | null | A median in an array with the length of *n* is an element which occupies position number after we sort the elements in the non-decreasing order (the array elements are numbered starting with 1). A median of an array (2,<=6,<=1,<=2,<=3) is the number 2, and a median of array (0,<=96,<=17,<=23) — the number 17.
We define an expression as the integer part of dividing number *a* by number *b*.
One day Vasya showed Petya an array consisting of *n* integers and suggested finding the array's median. Petya didn't even look at the array and said that it equals *x*. Petya is a very honest boy, so he decided to add several numbers to the given array so that the median of the resulting array would be equal to *x*.
Petya can add any integers from 1 to 105 to the array, including the same numbers. Of course, he can add nothing to the array. If a number is added multiple times, then we should consider it the number of times it occurs. It is not allowed to delete of change initial numbers of the array.
While Petya is busy distracting Vasya, your task is to find the minimum number of elements he will need. | The first input line contains two space-separated integers *n* and *x* (1<=≤<=*n*<=≤<=500, 1<=≤<=*x*<=≤<=105) — the initial array's length and the required median's value. The second line contains *n* space-separated numbers — the initial array. The elements of the array are integers from 1 to 105. The array elements are not necessarily different. | Print the only integer — the minimum number of elements Petya needs to add to the array so that its median equals *x*. | [
"3 10\n10 20 30\n",
"3 4\n1 2 3\n"
] | [
"1\n",
"4\n"
] | In the first sample we can add number 9 to array (10, 20, 30). The resulting array (9, 10, 20, 30) will have a median in position <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7dd92241318a531b780c7783dfa446a3e413115e.png" style="max-width: 100.0%;max-height: 100.0%;"/>, that is, 10.
In the second sample you should add numbers 4, 5, 5, 5. The resulting array has median equal to 4. | 1,000 | [
{
"input": "3 10\n10 20 30",
"output": "1"
},
{
"input": "3 4\n1 2 3",
"output": "4"
},
{
"input": "2 2\n3 2",
"output": "0"
},
{
"input": "5 1\n1 1 2 1 2",
"output": "0"
},
{
"input": "5 4\n5 5 4 3 5",
"output": "1"
},
{
"input": "10 2\n2 2 1 3 2 1 2 ... | 1,662,317,147 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 40 | 154 | 614,400 | from collections import deque
import numbers
# 1,1,1,2,3,4
n,x = map(int, input().split())
nums = list(map(int, input().split()))
if x not in nums:
count = 1
nums.append(x)
else:
count = 0
nums.sort()
nums = deque(nums)
med = nums[((len(nums)+1)//2)-1]
while med!=x:
count += 1
if med>x:
nums.appendleft(x)
else:
nums.append(x)
med = nums[((len(nums)+1)//2)-1]
print(count) | Title: Median
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A median in an array with the length of *n* is an element which occupies position number after we sort the elements in the non-decreasing order (the array elements are numbered starting with 1). A median of an array (2,<=6,<=1,<=2,<=3) is the number 2, and a median of array (0,<=96,<=17,<=23) — the number 17.
We define an expression as the integer part of dividing number *a* by number *b*.
One day Vasya showed Petya an array consisting of *n* integers and suggested finding the array's median. Petya didn't even look at the array and said that it equals *x*. Petya is a very honest boy, so he decided to add several numbers to the given array so that the median of the resulting array would be equal to *x*.
Petya can add any integers from 1 to 105 to the array, including the same numbers. Of course, he can add nothing to the array. If a number is added multiple times, then we should consider it the number of times it occurs. It is not allowed to delete of change initial numbers of the array.
While Petya is busy distracting Vasya, your task is to find the minimum number of elements he will need.
Input Specification:
The first input line contains two space-separated integers *n* and *x* (1<=≤<=*n*<=≤<=500, 1<=≤<=*x*<=≤<=105) — the initial array's length and the required median's value. The second line contains *n* space-separated numbers — the initial array. The elements of the array are integers from 1 to 105. The array elements are not necessarily different.
Output Specification:
Print the only integer — the minimum number of elements Petya needs to add to the array so that its median equals *x*.
Demo Input:
['3 10\n10 20 30\n', '3 4\n1 2 3\n']
Demo Output:
['1\n', '4\n']
Note:
In the first sample we can add number 9 to array (10, 20, 30). The resulting array (9, 10, 20, 30) will have a median in position <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7dd92241318a531b780c7783dfa446a3e413115e.png" style="max-width: 100.0%;max-height: 100.0%;"/>, that is, 10.
In the second sample you should add numbers 4, 5, 5, 5. The resulting array has median equal to 4. | ```python
from collections import deque
import numbers
# 1,1,1,2,3,4
n,x = map(int, input().split())
nums = list(map(int, input().split()))
if x not in nums:
count = 1
nums.append(x)
else:
count = 0
nums.sort()
nums = deque(nums)
med = nums[((len(nums)+1)//2)-1]
while med!=x:
count += 1
if med>x:
nums.appendleft(x)
else:
nums.append(x)
med = nums[((len(nums)+1)//2)-1]
print(count)
``` | 3 | |
71 | A | Way Too Long Words | PROGRAMMING | 800 | [
"strings"
] | A. Way Too Long Words | 1 | 256 | Sometimes some words like "localization" or "internationalization" are so long that writing them many times in one text is quite tiresome.
Let's consider a word too long, if its length is strictly more than 10 characters. All too long words should be replaced with a special abbreviation.
This abbreviation is made like this: we write down the first and the last letter of a word and between them we write the number of letters between the first and the last letters. That number is in decimal system and doesn't contain any leading zeroes.
Thus, "localization" will be spelt as "l10n", and "internationalization» will be spelt as "i18n".
You are suggested to automatize the process of changing the words with abbreviations. At that all too long words should be replaced by the abbreviation and the words that are not too long should not undergo any changes. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Each of the following *n* lines contains one word. All the words consist of lowercase Latin letters and possess the lengths of from 1 to 100 characters. | Print *n* lines. The *i*-th line should contain the result of replacing of the *i*-th word from the input data. | [
"4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis\n"
] | [
"word\nl10n\ni18n\np43s\n"
] | none | 500 | [
{
"input": "4\nword\nlocalization\ninternationalization\npneumonoultramicroscopicsilicovolcanoconiosis",
"output": "word\nl10n\ni18n\np43s"
},
{
"input": "5\nabcdefgh\nabcdefghi\nabcdefghij\nabcdefghijk\nabcdefghijklm",
"output": "abcdefgh\nabcdefghi\nabcdefghij\na9k\na11m"
},
{
"input":... | 1,696,424,126 | 2,147,483,647 | Python 3 | OK | TESTS | 20 | 46 | 0 | def abr(s):
if len(s)<=10:
return s
else:
return s[0]+str(len(s)-2)+s[-1]
t=int(input())
for i in range(t):
s=input()
print(abr(s))
| 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
def abr(s):
if len(s)<=10:
return s
else:
return s[0]+str(len(s)-2)+s[-1]
t=int(input())
for i in range(t):
s=input()
print(abr(s))
``` | 3.977 |
157 | B | Trace | PROGRAMMING | 1,000 | [
"geometry",
"sortings"
] | null | null | One day, as Sherlock Holmes was tracking down one very important criminal, he found a wonderful painting on the wall. This wall could be represented as a plane. The painting had several concentric circles that divided the wall into several parts. Some parts were painted red and all the other were painted blue. Besides, any two neighboring parts were painted different colors, that is, the red and the blue color were alternating, i. e. followed one after the other. The outer area of the wall (the area that lied outside all circles) was painted blue. Help Sherlock Holmes determine the total area of red parts of the wall.
Let us remind you that two circles are called concentric if their centers coincide. Several circles are called concentric if any two of them are concentric. | The first line contains the single integer *n* (1<=≤<=*n*<=≤<=100). The second line contains *n* space-separated integers *r**i* (1<=≤<=*r**i*<=≤<=1000) — the circles' radii. It is guaranteed that all circles are different. | Print the single real number — total area of the part of the wall that is painted red. The answer is accepted if absolute or relative error doesn't exceed 10<=-<=4. | [
"1\n1\n",
"3\n1 4 2\n"
] | [
"3.1415926536\n",
"40.8407044967\n"
] | In the first sample the picture is just one circle of radius 1. Inner part of the circle is painted red. The area of the red part equals π × 1<sup class="upper-index">2</sup> = π.
In the second sample there are three circles of radii 1, 4 and 2. Outside part of the second circle is painted blue. Part between the second and the third circles is painted red. Part between the first and the third is painted blue. And, finally, the inner part of the first circle is painted red. Overall there are two red parts: the ring between the second and the third circles and the inner part of the first circle. Total area of the red parts is equal (π × 4<sup class="upper-index">2</sup> - π × 2<sup class="upper-index">2</sup>) + π × 1<sup class="upper-index">2</sup> = π × 12 + π = 13π | 1,000 | [
{
"input": "1\n1",
"output": "3.1415926536"
},
{
"input": "3\n1 4 2",
"output": "40.8407044967"
},
{
"input": "4\n4 1 3 2",
"output": "31.4159265359"
},
{
"input": "4\n100 10 2 1",
"output": "31111.1920484997"
},
{
"input": "10\n10 9 8 7 6 5 4 3 2 1",
"output"... | 1,645,752,283 | 2,147,483,647 | PyPy 3 | OK | TESTS | 44 | 154 | 0 | from sys import stdin,stdout
from math import pi
n = int(input())
rs = list(map(int,stdin.readline().split()))
rs.sort()
rs.reverse()
ra = 0
# print(rs)
rs.append(0)
for i in range(len(rs)-1):
if(i%2==0):
dif = rs[i]**2*pi-rs[i+1]**2*pi
ra+=dif
# print(ra)
print(ra) | Title: Trace
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day, as Sherlock Holmes was tracking down one very important criminal, he found a wonderful painting on the wall. This wall could be represented as a plane. The painting had several concentric circles that divided the wall into several parts. Some parts were painted red and all the other were painted blue. Besides, any two neighboring parts were painted different colors, that is, the red and the blue color were alternating, i. e. followed one after the other. The outer area of the wall (the area that lied outside all circles) was painted blue. Help Sherlock Holmes determine the total area of red parts of the wall.
Let us remind you that two circles are called concentric if their centers coincide. Several circles are called concentric if any two of them are concentric.
Input Specification:
The first line contains the single integer *n* (1<=≤<=*n*<=≤<=100). The second line contains *n* space-separated integers *r**i* (1<=≤<=*r**i*<=≤<=1000) — the circles' radii. It is guaranteed that all circles are different.
Output Specification:
Print the single real number — total area of the part of the wall that is painted red. The answer is accepted if absolute or relative error doesn't exceed 10<=-<=4.
Demo Input:
['1\n1\n', '3\n1 4 2\n']
Demo Output:
['3.1415926536\n', '40.8407044967\n']
Note:
In the first sample the picture is just one circle of radius 1. Inner part of the circle is painted red. The area of the red part equals π × 1<sup class="upper-index">2</sup> = π.
In the second sample there are three circles of radii 1, 4 and 2. Outside part of the second circle is painted blue. Part between the second and the third circles is painted red. Part between the first and the third is painted blue. And, finally, the inner part of the first circle is painted red. Overall there are two red parts: the ring between the second and the third circles and the inner part of the first circle. Total area of the red parts is equal (π × 4<sup class="upper-index">2</sup> - π × 2<sup class="upper-index">2</sup>) + π × 1<sup class="upper-index">2</sup> = π × 12 + π = 13π | ```python
from sys import stdin,stdout
from math import pi
n = int(input())
rs = list(map(int,stdin.readline().split()))
rs.sort()
rs.reverse()
ra = 0
# print(rs)
rs.append(0)
for i in range(len(rs)-1):
if(i%2==0):
dif = rs[i]**2*pi-rs[i+1]**2*pi
ra+=dif
# print(ra)
print(ra)
``` | 3 | |
540 | A | Combination Lock | PROGRAMMING | 800 | [
"implementation"
] | null | null | Scrooge McDuck keeps his most treasured savings in a home safe with a combination lock. Each time he wants to put there the treasures that he's earned fair and square, he has to open the lock.
The combination lock is represented by *n* rotating disks with digits from 0 to 9 written on them. Scrooge McDuck has to turn some disks so that the combination of digits on the disks forms a secret combination. In one move, he can rotate one disk one digit forwards or backwards. In particular, in one move he can go from digit 0 to digit 9 and vice versa. What minimum number of actions does he need for that? | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of disks on the combination lock.
The second line contains a string of *n* digits — the original state of the disks.
The third line contains a string of *n* digits — Scrooge McDuck's combination that opens the lock. | Print a single integer — the minimum number of moves Scrooge McDuck needs to open the lock. | [
"5\n82195\n64723\n"
] | [
"13\n"
] | In the sample he needs 13 moves:
- 1 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b8967f65a723782358b93eff9ce69f336817cf70.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 2 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/07fa58573ece0d32c4d555e498d2b24d2f70f36a.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 3 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/cc2275d9252aae35a6867c6a5b4ba7596e9a7626.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 4 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b100aea470fcaaab4e9529b234ba0d7875943c10.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 5 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/eb2cbe4324cebca65b85816262a85e473cd65967.png" style="max-width: 100.0%;max-height: 100.0%;"/> | 500 | [
{
"input": "5\n82195\n64723",
"output": "13"
},
{
"input": "12\n102021090898\n010212908089",
"output": "16"
},
{
"input": "1\n8\n1",
"output": "3"
},
{
"input": "2\n83\n57",
"output": "7"
},
{
"input": "10\n0728592530\n1362615763",
"output": "27"
},
{
... | 1,677,643,098 | 2,147,483,647 | Python 3 | OK | TESTS | 43 | 46 | 0 | n = int(input())
s1 = input()
s2 = input()
total = 0
for i in range(n):
val = abs(int(s1[i]) - int(s2[i]))
total += min(val, 10-val)
print(total) | Title: Combination Lock
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Scrooge McDuck keeps his most treasured savings in a home safe with a combination lock. Each time he wants to put there the treasures that he's earned fair and square, he has to open the lock.
The combination lock is represented by *n* rotating disks with digits from 0 to 9 written on them. Scrooge McDuck has to turn some disks so that the combination of digits on the disks forms a secret combination. In one move, he can rotate one disk one digit forwards or backwards. In particular, in one move he can go from digit 0 to digit 9 and vice versa. What minimum number of actions does he need for that?
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of disks on the combination lock.
The second line contains a string of *n* digits — the original state of the disks.
The third line contains a string of *n* digits — Scrooge McDuck's combination that opens the lock.
Output Specification:
Print a single integer — the minimum number of moves Scrooge McDuck needs to open the lock.
Demo Input:
['5\n82195\n64723\n']
Demo Output:
['13\n']
Note:
In the sample he needs 13 moves:
- 1 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b8967f65a723782358b93eff9ce69f336817cf70.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 2 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/07fa58573ece0d32c4d555e498d2b24d2f70f36a.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 3 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/cc2275d9252aae35a6867c6a5b4ba7596e9a7626.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 4 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b100aea470fcaaab4e9529b234ba0d7875943c10.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 5 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/eb2cbe4324cebca65b85816262a85e473cd65967.png" style="max-width: 100.0%;max-height: 100.0%;"/> | ```python
n = int(input())
s1 = input()
s2 = input()
total = 0
for i in range(n):
val = abs(int(s1[i]) - int(s2[i]))
total += min(val, 10-val)
print(total)
``` | 3 | |
448 | A | Rewards | PROGRAMMING | 800 | [
"implementation"
] | null | null | Bizon the Champion is called the Champion for a reason.
Bizon the Champion has recently got a present — a new glass cupboard with *n* shelves and he decided to put all his presents there. All the presents can be divided into two types: medals and cups. Bizon the Champion has *a*1 first prize cups, *a*2 second prize cups and *a*3 third prize cups. Besides, he has *b*1 first prize medals, *b*2 second prize medals and *b*3 third prize medals.
Naturally, the rewards in the cupboard must look good, that's why Bizon the Champion decided to follow the rules:
- any shelf cannot contain both cups and medals at the same time; - no shelf can contain more than five cups; - no shelf can have more than ten medals.
Help Bizon the Champion find out if we can put all the rewards so that all the conditions are fulfilled. | The first line contains integers *a*1, *a*2 and *a*3 (0<=≤<=*a*1,<=*a*2,<=*a*3<=≤<=100). The second line contains integers *b*1, *b*2 and *b*3 (0<=≤<=*b*1,<=*b*2,<=*b*3<=≤<=100). The third line contains integer *n* (1<=≤<=*n*<=≤<=100).
The numbers in the lines are separated by single spaces. | Print "YES" (without the quotes) if all the rewards can be put on the shelves in the described manner. Otherwise, print "NO" (without the quotes). | [
"1 1 1\n1 1 1\n4\n",
"1 1 3\n2 3 4\n2\n",
"1 0 0\n1 0 0\n1\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "1 1 1\n1 1 1\n4",
"output": "YES"
},
{
"input": "1 1 3\n2 3 4\n2",
"output": "YES"
},
{
"input": "1 0 0\n1 0 0\n1",
"output": "NO"
},
{
"input": "0 0 0\n0 0 0\n1",
"output": "YES"
},
{
"input": "100 100 100\n100 100 100\n100",
"output": "YES"
},
... | 1,618,644,030 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 62 | 204,800 | a=list(map(int,input().split()))
b=list(map(int,input().split()))
n=int(input())
x,y=0,0
if(sum(a)%5==0):
x=sum(a)//5
else:
x=sum(a)//5+1
if(sum(b)%10==0):
y=sum(b)//10
else:
y=sum(b)//10+1
if(x+y<=n):
print("YES")
else:
print("NO")
| Title: Rewards
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Bizon the Champion is called the Champion for a reason.
Bizon the Champion has recently got a present — a new glass cupboard with *n* shelves and he decided to put all his presents there. All the presents can be divided into two types: medals and cups. Bizon the Champion has *a*1 first prize cups, *a*2 second prize cups and *a*3 third prize cups. Besides, he has *b*1 first prize medals, *b*2 second prize medals and *b*3 third prize medals.
Naturally, the rewards in the cupboard must look good, that's why Bizon the Champion decided to follow the rules:
- any shelf cannot contain both cups and medals at the same time; - no shelf can contain more than five cups; - no shelf can have more than ten medals.
Help Bizon the Champion find out if we can put all the rewards so that all the conditions are fulfilled.
Input Specification:
The first line contains integers *a*1, *a*2 and *a*3 (0<=≤<=*a*1,<=*a*2,<=*a*3<=≤<=100). The second line contains integers *b*1, *b*2 and *b*3 (0<=≤<=*b*1,<=*b*2,<=*b*3<=≤<=100). The third line contains integer *n* (1<=≤<=*n*<=≤<=100).
The numbers in the lines are separated by single spaces.
Output Specification:
Print "YES" (without the quotes) if all the rewards can be put on the shelves in the described manner. Otherwise, print "NO" (without the quotes).
Demo Input:
['1 1 1\n1 1 1\n4\n', '1 1 3\n2 3 4\n2\n', '1 0 0\n1 0 0\n1\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n']
Note:
none | ```python
a=list(map(int,input().split()))
b=list(map(int,input().split()))
n=int(input())
x,y=0,0
if(sum(a)%5==0):
x=sum(a)//5
else:
x=sum(a)//5+1
if(sum(b)%10==0):
y=sum(b)//10
else:
y=sum(b)//10+1
if(x+y<=n):
print("YES")
else:
print("NO")
``` | 3 | |
152 | B | Steps | PROGRAMMING | 1,300 | [
"binary search",
"implementation"
] | null | null | One day Vasya went out for a walk in the yard but there weren't any of his friends outside and he had no one to play touch and run. But the boy didn't lose the high spirits and decided to play touch and run with himself. You may ask: "How did he do that?" The answer is simple.
Vasya noticed that the yard is a rectangular *n*<=×<=*m* field. The squares have coordinates (*x*,<=*y*) (1<=≤<=*x*<=≤<=*n*,<=1<=≤<=*y*<=≤<=*m*), where *x* is the index of the row and *y* is the index of the column.
Initially Vasya stands in the square with coordinates (*x**c*,<=*y**c*). To play, he has got a list of *k* vectors (*dx**i*,<=*dy**i*) of non-zero length. The game goes like this. The boy considers all vectors in the order from 1 to *k*, and consecutively chooses each vector as the current one. After the boy has chosen a current vector, he makes the maximally possible number of valid steps in the vector's direction (it is possible that he makes zero steps).
A step is defined as one movement from the square where the boy is standing now, in the direction of the current vector. That is, if Vasya is positioned in square (*x*,<=*y*), and the current vector is (*dx*,<=*dy*), one step moves Vasya to square (*x*<=+<=*dx*,<=*y*<=+<=*dy*). A step is considered valid, if the boy does not go out of the yard if he performs the step.
Vasya stepped on and on, on and on until he ran out of vectors in his list. Ha had been stepping for so long that he completely forgot how many steps he had made. Help the boy and count how many steps he had made. | The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=109) — the yard's sizes. The second line contains integers *x**c* and *y**c* — the initial square's coordinates (1<=≤<=*x**c*<=≤<=*n*,<=1<=≤<=*y**c*<=≤<=*m*).
The third line contains an integer *k* (1<=≤<=*k*<=≤<=104) — the number of vectors. Then follow *k* lines, each of them contains two integers *dx**i* and *dy**i* (|*dx**i*|,<=|*dy**i*|<=≤<=109,<=|*dx*|<=+<=|*dy*|<=≥<=1). | Print the single number — the number of steps Vasya had made.
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator. | [
"4 5\n1 1\n3\n1 1\n1 1\n0 -2\n",
"10 10\n1 2\n1\n-1 0\n"
] | [
"4\n",
"0\n"
] | In the first sample Vasya is initially positioned at square (1, 1) and makes 3 steps by the first vector (1, 1). So, he consecutively visits the squares (2, 2), (3, 3), (4, 4). Then he makes 0 steps by the second vector (1, 1). He makes 1 more step by the third vector (0, - 2) and he ends up in square (4, 2). Overall, Vasya makes 4 steps.
In the second sample Vasya is initially positioned in square (1, 2) and makes 0 steps by vector ( - 1, 0), as the square with coordinates (0, 2) is located outside the yard. | 1,000 | [
{
"input": "4 5\n1 1\n3\n1 1\n1 1\n0 -2",
"output": "4"
},
{
"input": "10 10\n1 2\n1\n-1 0",
"output": "0"
},
{
"input": "10 20\n10 3\n10\n-2 -6\n-1 0\n-8 0\n0 5\n-1 3\n16 -16\n-1 9\n0 -18\n9 -1\n-9 5",
"output": "13"
},
{
"input": "20 10\n14 4\n10\n6 0\n-7 -7\n12 -2\n-4 9\n2... | 1,622,704,729 | 2,147,483,647 | PyPy 3 | OK | TESTS | 34 | 684 | 6,553,600 | n, m=map(int, input().split())
cx, cy=map(int, input().split())
k=int(input())
tot=0
for i in range(k):
a, b=map(int, input().split())
start, finish=0, 2000000000
while start+1<finish:
mid=(start+finish)//2
hi1, hi2=mid*a+cx, mid*b+cy
if hi1>=1 and hi1<=n and hi2>=1 and hi2<=m:
start=mid
else:
finish=mid
cx+=start*a
cy+=start*b
tot+=start
print(tot) | Title: Steps
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Vasya went out for a walk in the yard but there weren't any of his friends outside and he had no one to play touch and run. But the boy didn't lose the high spirits and decided to play touch and run with himself. You may ask: "How did he do that?" The answer is simple.
Vasya noticed that the yard is a rectangular *n*<=×<=*m* field. The squares have coordinates (*x*,<=*y*) (1<=≤<=*x*<=≤<=*n*,<=1<=≤<=*y*<=≤<=*m*), where *x* is the index of the row and *y* is the index of the column.
Initially Vasya stands in the square with coordinates (*x**c*,<=*y**c*). To play, he has got a list of *k* vectors (*dx**i*,<=*dy**i*) of non-zero length. The game goes like this. The boy considers all vectors in the order from 1 to *k*, and consecutively chooses each vector as the current one. After the boy has chosen a current vector, he makes the maximally possible number of valid steps in the vector's direction (it is possible that he makes zero steps).
A step is defined as one movement from the square where the boy is standing now, in the direction of the current vector. That is, if Vasya is positioned in square (*x*,<=*y*), and the current vector is (*dx*,<=*dy*), one step moves Vasya to square (*x*<=+<=*dx*,<=*y*<=+<=*dy*). A step is considered valid, if the boy does not go out of the yard if he performs the step.
Vasya stepped on and on, on and on until he ran out of vectors in his list. Ha had been stepping for so long that he completely forgot how many steps he had made. Help the boy and count how many steps he had made.
Input Specification:
The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=109) — the yard's sizes. The second line contains integers *x**c* and *y**c* — the initial square's coordinates (1<=≤<=*x**c*<=≤<=*n*,<=1<=≤<=*y**c*<=≤<=*m*).
The third line contains an integer *k* (1<=≤<=*k*<=≤<=104) — the number of vectors. Then follow *k* lines, each of them contains two integers *dx**i* and *dy**i* (|*dx**i*|,<=|*dy**i*|<=≤<=109,<=|*dx*|<=+<=|*dy*|<=≥<=1).
Output Specification:
Print the single number — the number of steps Vasya had made.
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.
Demo Input:
['4 5\n1 1\n3\n1 1\n1 1\n0 -2\n', '10 10\n1 2\n1\n-1 0\n']
Demo Output:
['4\n', '0\n']
Note:
In the first sample Vasya is initially positioned at square (1, 1) and makes 3 steps by the first vector (1, 1). So, he consecutively visits the squares (2, 2), (3, 3), (4, 4). Then he makes 0 steps by the second vector (1, 1). He makes 1 more step by the third vector (0, - 2) and he ends up in square (4, 2). Overall, Vasya makes 4 steps.
In the second sample Vasya is initially positioned in square (1, 2) and makes 0 steps by vector ( - 1, 0), as the square with coordinates (0, 2) is located outside the yard. | ```python
n, m=map(int, input().split())
cx, cy=map(int, input().split())
k=int(input())
tot=0
for i in range(k):
a, b=map(int, input().split())
start, finish=0, 2000000000
while start+1<finish:
mid=(start+finish)//2
hi1, hi2=mid*a+cx, mid*b+cy
if hi1>=1 and hi1<=n and hi2>=1 and hi2<=m:
start=mid
else:
finish=mid
cx+=start*a
cy+=start*b
tot+=start
print(tot)
``` | 3 | |
129 | A | Cookies | PROGRAMMING | 900 | [
"implementation"
] | null | null | Olga came to visit the twins Anna and Maria and saw that they have many cookies. The cookies are distributed into bags. As there are many cookies, Olga decided that it's no big deal if she steals a bag. However, she doesn't want the sisters to quarrel because of nothing when they divide the cookies. That's why Olga wants to steal a bag with cookies so that the number of cookies in the remaining bags was even, that is, so that Anna and Maria could evenly divide it into two (even 0 remaining cookies will do, just as any other even number). How many ways there are to steal exactly one cookie bag so that the total number of cookies in the remaining bags was even? | The first line contains the only integer *n* (1<=≤<=*n*<=≤<=100) — the number of cookie bags Anna and Maria have. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100) — the number of cookies in the *i*-th bag. | Print in the only line the only number — the sought number of ways. If there are no such ways print 0. | [
"1\n1\n",
"10\n1 2 2 3 4 4 4 2 2 2\n",
"11\n2 2 2 2 2 2 2 2 2 2 99\n"
] | [
"1\n",
"8\n",
"1\n"
] | In the first sample Olga should take the only bag so that the twins ended up with the even number of cookies.
In the second sample Olga can take any of five bags with two cookies or any of three bags with four cookies — 5 + 3 = 8 ways in total.
In the third sample, no matter which bag with two cookies Olga chooses, the twins are left with 2 * 9 + 99 = 117 cookies. Thus, Olga has only one option: to take the bag with 99 cookies. | 500 | [
{
"input": "1\n1",
"output": "1"
},
{
"input": "10\n1 2 2 3 4 4 4 2 2 2",
"output": "8"
},
{
"input": "11\n2 2 2 2 2 2 2 2 2 2 99",
"output": "1"
},
{
"input": "2\n1 1",
"output": "0"
},
{
"input": "2\n2 2",
"output": "2"
},
{
"input": "2\n1 2",
"o... | 1,506,229,874 | 2,147,483,647 | Python 3 | OK | TESTS | 52 | 124 | 512,000 | import collections
def main():
num=int(input())
arrnum=[int(i) for i in input().split(" ")]
aux2=collections.Counter(arrnum)
if sum(arrnum)%2==0:
print(sum([valor for clave,valor in aux2.items() if clave%2==0]))
else:
print(sum([valor for clave,valor in aux2.items() if clave % 2 != 0]))
if __name__ == '__main__':
main() | Title: Cookies
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Olga came to visit the twins Anna and Maria and saw that they have many cookies. The cookies are distributed into bags. As there are many cookies, Olga decided that it's no big deal if she steals a bag. However, she doesn't want the sisters to quarrel because of nothing when they divide the cookies. That's why Olga wants to steal a bag with cookies so that the number of cookies in the remaining bags was even, that is, so that Anna and Maria could evenly divide it into two (even 0 remaining cookies will do, just as any other even number). How many ways there are to steal exactly one cookie bag so that the total number of cookies in the remaining bags was even?
Input Specification:
The first line contains the only integer *n* (1<=≤<=*n*<=≤<=100) — the number of cookie bags Anna and Maria have. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=100) — the number of cookies in the *i*-th bag.
Output Specification:
Print in the only line the only number — the sought number of ways. If there are no such ways print 0.
Demo Input:
['1\n1\n', '10\n1 2 2 3 4 4 4 2 2 2\n', '11\n2 2 2 2 2 2 2 2 2 2 99\n']
Demo Output:
['1\n', '8\n', '1\n']
Note:
In the first sample Olga should take the only bag so that the twins ended up with the even number of cookies.
In the second sample Olga can take any of five bags with two cookies or any of three bags with four cookies — 5 + 3 = 8 ways in total.
In the third sample, no matter which bag with two cookies Olga chooses, the twins are left with 2 * 9 + 99 = 117 cookies. Thus, Olga has only one option: to take the bag with 99 cookies. | ```python
import collections
def main():
num=int(input())
arrnum=[int(i) for i in input().split(" ")]
aux2=collections.Counter(arrnum)
if sum(arrnum)%2==0:
print(sum([valor for clave,valor in aux2.items() if clave%2==0]))
else:
print(sum([valor for clave,valor in aux2.items() if clave % 2 != 0]))
if __name__ == '__main__':
main()
``` | 3 | |
691 | C | Exponential notation | PROGRAMMING | 1,800 | [
"implementation",
"strings"
] | null | null | You are given a positive decimal number *x*.
Your task is to convert it to the "simple exponential notation".
Let *x*<==<=*a*·10*b*, where 1<=≤<=*a*<=<<=10, then in general case the "simple exponential notation" looks like "aEb". If *b* equals to zero, the part "Eb" should be skipped. If *a* is an integer, it should be written without decimal point. Also there should not be extra zeroes in *a* and *b*. | The only line contains the positive decimal number *x*. The length of the line will not exceed 106. Note that you are given too large number, so you can't use standard built-in data types "float", "double" and other. | Print the only line — the "simple exponential notation" of the given number *x*. | [
"16\n",
"01.23400\n",
".100\n",
"100.\n"
] | [
"1.6E1\n",
"1.234\n",
"1E-1\n",
"1E2\n"
] | none | 0 | [
{
"input": "16",
"output": "1.6E1"
},
{
"input": "01.23400",
"output": "1.234"
},
{
"input": ".100",
"output": "1E-1"
},
{
"input": "100.",
"output": "1E2"
},
{
"input": "9000",
"output": "9E3"
},
{
"input": "0.0012",
"output": "1.2E-3"
},
{
... | 1,662,012,224 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 44 | 62 | 8,499,200 | import sys
input = sys.stdin.readline
x = input()[:-1]
if '.' not in x:
x += '.'
xa, xb = x.split('.')
xa, xb, b = xa.lstrip('0'), xb.rstrip('0'), 0
if len(xa) > 1:
b = len(xa) - 1
xb = (xa[1:] + xb).rstrip('0')
xa = xa[0]
if len(xa) == 1 and xa[0] == '0' or len(xa) == 0:
b = -(len(xb) - len(xb.lstrip('0'))) - 1
xa = xb[-b - 1]
xb = xb[-b:]
res = xa
if xb:
res += '.' + xb
if b:
res += 'E' + str(b)
print(res) | Title: Exponential notation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a positive decimal number *x*.
Your task is to convert it to the "simple exponential notation".
Let *x*<==<=*a*·10*b*, where 1<=≤<=*a*<=<<=10, then in general case the "simple exponential notation" looks like "aEb". If *b* equals to zero, the part "Eb" should be skipped. If *a* is an integer, it should be written without decimal point. Also there should not be extra zeroes in *a* and *b*.
Input Specification:
The only line contains the positive decimal number *x*. The length of the line will not exceed 106. Note that you are given too large number, so you can't use standard built-in data types "float", "double" and other.
Output Specification:
Print the only line — the "simple exponential notation" of the given number *x*.
Demo Input:
['16\n', '01.23400\n', '.100\n', '100.\n']
Demo Output:
['1.6E1\n', '1.234\n', '1E-1\n', '1E2\n']
Note:
none | ```python
import sys
input = sys.stdin.readline
x = input()[:-1]
if '.' not in x:
x += '.'
xa, xb = x.split('.')
xa, xb, b = xa.lstrip('0'), xb.rstrip('0'), 0
if len(xa) > 1:
b = len(xa) - 1
xb = (xa[1:] + xb).rstrip('0')
xa = xa[0]
if len(xa) == 1 and xa[0] == '0' or len(xa) == 0:
b = -(len(xb) - len(xb.lstrip('0'))) - 1
xa = xb[-b - 1]
xb = xb[-b:]
res = xa
if xb:
res += '.' + xb
if b:
res += 'E' + str(b)
print(res)
``` | 3 | |
567 | A | Lineland Mail | PROGRAMMING | 900 | [
"greedy",
"implementation"
] | null | null | All cities of Lineland are located on the *Ox* coordinate axis. Thus, each city is associated with its position *x**i* — a coordinate on the *Ox* axis. No two cities are located at a single point.
Lineland residents love to send letters to each other. A person may send a letter only if the recipient lives in another city (because if they live in the same city, then it is easier to drop in).
Strange but true, the cost of sending the letter is exactly equal to the distance between the sender's city and the recipient's city.
For each city calculate two values *min**i* and *max**i*, where *min**i* is the minimum cost of sending a letter from the *i*-th city to some other city, and *max**i* is the the maximum cost of sending a letter from the *i*-th city to some other city | The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=105) — the number of cities in Lineland. The second line contains the sequence of *n* distinct integers *x*1,<=*x*2,<=...,<=*x**n* (<=-<=109<=≤<=*x**i*<=≤<=109), where *x**i* is the *x*-coordinate of the *i*-th city. All the *x**i*'s are distinct and follow in ascending order. | Print *n* lines, the *i*-th line must contain two integers *min**i*,<=*max**i*, separated by a space, where *min**i* is the minimum cost of sending a letter from the *i*-th city, and *max**i* is the maximum cost of sending a letter from the *i*-th city. | [
"4\n-5 -2 2 7\n",
"2\n-1 1\n"
] | [
"3 12\n3 9\n4 7\n5 12\n",
"2 2\n2 2\n"
] | none | 500 | [
{
"input": "4\n-5 -2 2 7",
"output": "3 12\n3 9\n4 7\n5 12"
},
{
"input": "2\n-1 1",
"output": "2 2\n2 2"
},
{
"input": "3\n-1 0 1",
"output": "1 2\n1 1\n1 2"
},
{
"input": "4\n-1 0 1 3",
"output": "1 4\n1 3\n1 2\n2 4"
},
{
"input": "3\n-1000000000 0 1000000000",
... | 1,663,000,031 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 54 | 187 | 14,540,800 | n = int(input())
s = list(map(int,input().split()))
for i in range(len(s)):
if i == 0:
print(s[1]-s[0],s[-1]-s[0])
elif i == len(s) - 1:
print(s[-1]-s[-2],s[-1] - s[0])
else:
print(min(s[i]-s[i-1],s[i+1]-s[i]),max(s[i]-s[0],s[-1]-s[i])) | Title: Lineland Mail
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
All cities of Lineland are located on the *Ox* coordinate axis. Thus, each city is associated with its position *x**i* — a coordinate on the *Ox* axis. No two cities are located at a single point.
Lineland residents love to send letters to each other. A person may send a letter only if the recipient lives in another city (because if they live in the same city, then it is easier to drop in).
Strange but true, the cost of sending the letter is exactly equal to the distance between the sender's city and the recipient's city.
For each city calculate two values *min**i* and *max**i*, where *min**i* is the minimum cost of sending a letter from the *i*-th city to some other city, and *max**i* is the the maximum cost of sending a letter from the *i*-th city to some other city
Input Specification:
The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=105) — the number of cities in Lineland. The second line contains the sequence of *n* distinct integers *x*1,<=*x*2,<=...,<=*x**n* (<=-<=109<=≤<=*x**i*<=≤<=109), where *x**i* is the *x*-coordinate of the *i*-th city. All the *x**i*'s are distinct and follow in ascending order.
Output Specification:
Print *n* lines, the *i*-th line must contain two integers *min**i*,<=*max**i*, separated by a space, where *min**i* is the minimum cost of sending a letter from the *i*-th city, and *max**i* is the maximum cost of sending a letter from the *i*-th city.
Demo Input:
['4\n-5 -2 2 7\n', '2\n-1 1\n']
Demo Output:
['3 12\n3 9\n4 7\n5 12\n', '2 2\n2 2\n']
Note:
none | ```python
n = int(input())
s = list(map(int,input().split()))
for i in range(len(s)):
if i == 0:
print(s[1]-s[0],s[-1]-s[0])
elif i == len(s) - 1:
print(s[-1]-s[-2],s[-1] - s[0])
else:
print(min(s[i]-s[i-1],s[i+1]-s[i]),max(s[i]-s[0],s[-1]-s[i]))
``` | 3 | |
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": ... | 1,697,978,888 | 2,147,483,647 | Python 3 | OK | TESTS | 21 | 92 | 0 | def InsertionSort(a, n):
for i in range(1, n):
x = a[i]
j = i - 1
while j >= 0 and a[j] > x:
a[j+1] = a[j]
j -= 1
a[j+1] = x
s = input()
a = []
for ch in s:
if ch >= '0' and ch <= '9':
a.append(ord(ch) - ord('0'))
k = len(a)
InsertionSort(a, k)
for i in range(k):
print(a[i], end='')
if i != k-1: print('+', end='') | 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
def InsertionSort(a, n):
for i in range(1, n):
x = a[i]
j = i - 1
while j >= 0 and a[j] > x:
a[j+1] = a[j]
j -= 1
a[j+1] = x
s = input()
a = []
for ch in s:
if ch >= '0' and ch <= '9':
a.append(ord(ch) - ord('0'))
k = len(a)
InsertionSort(a, k)
for i in range(k):
print(a[i], end='')
if i != k-1: print('+', end='')
``` | 3 | |
0 | none | none | none | 0 | [
"none"
] | null | null | It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of *n* distinct integers. And then they take turns to make the following moves. During each move, either Alice or Bob (the player whose turn is the current) can choose two distinct integers *x* and *y* from the set, such that the set doesn't contain their absolute difference |*x*<=-<=*y*|. Then this player adds integer |*x*<=-<=*y*| to the set (so, the size of the set increases by one).
If the current player has no valid move, he (or she) loses the game. The question is who will finally win the game if both players play optimally. Remember that Alice always moves first. | The first line contains an integer *n* (2<=≤<=*n*<=≤<=100) — the initial number of elements in the set. The second line contains *n* distinct space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the set. | Print a single line with the winner's name. If Alice wins print "Alice", otherwise print "Bob" (without quotes). | [
"2\n2 3\n",
"2\n5 3\n",
"3\n5 6 7\n"
] | [
"Alice\n",
"Alice\n",
"Bob\n"
] | Consider the first test sample. Alice moves first, and the only move she can do is to choose 2 and 3, then to add 1 to the set. Next Bob moves, there is no valid move anymore, so the winner is Alice. | 0 | [
{
"input": "2\n2 3",
"output": "Alice"
},
{
"input": "2\n5 3",
"output": "Alice"
},
{
"input": "3\n5 6 7",
"output": "Bob"
},
{
"input": "10\n72 96 24 66 6 18 12 30 60 48",
"output": "Bob"
},
{
"input": "10\n78 66 6 60 18 84 36 96 72 48",
"output": "Bob"
},
... | 1,586,741,976 | 2,147,483,647 | Python 3 | OK | TESTS | 39 | 186 | 307,200 | import sys
lines = sys.stdin.readlines()
n = int(lines[0].strip())
nums = list(map(int, lines[1].strip().split(" ")))
def gcd(a,b):
if a == 0: return b
if a > b: return gcd(b,a)
return gcd(b%a, a)
G = nums[0]
for i in range(1, n):
G = gcd(G, nums[i])
turns = max(nums)//G - n
if turns % 2 == 0: print("Bob")
else: print("Alice")
| Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
It is so boring in the summer holiday, isn't it? So Alice and Bob have invented a new game to play. The rules are as follows. First, they get a set of *n* distinct integers. And then they take turns to make the following moves. During each move, either Alice or Bob (the player whose turn is the current) can choose two distinct integers *x* and *y* from the set, such that the set doesn't contain their absolute difference |*x*<=-<=*y*|. Then this player adds integer |*x*<=-<=*y*| to the set (so, the size of the set increases by one).
If the current player has no valid move, he (or she) loses the game. The question is who will finally win the game if both players play optimally. Remember that Alice always moves first.
Input Specification:
The first line contains an integer *n* (2<=≤<=*n*<=≤<=100) — the initial number of elements in the set. The second line contains *n* distinct space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the set.
Output Specification:
Print a single line with the winner's name. If Alice wins print "Alice", otherwise print "Bob" (without quotes).
Demo Input:
['2\n2 3\n', '2\n5 3\n', '3\n5 6 7\n']
Demo Output:
['Alice\n', 'Alice\n', 'Bob\n']
Note:
Consider the first test sample. Alice moves first, and the only move she can do is to choose 2 and 3, then to add 1 to the set. Next Bob moves, there is no valid move anymore, so the winner is Alice. | ```python
import sys
lines = sys.stdin.readlines()
n = int(lines[0].strip())
nums = list(map(int, lines[1].strip().split(" ")))
def gcd(a,b):
if a == 0: return b
if a > b: return gcd(b,a)
return gcd(b%a, a)
G = nums[0]
for i in range(1, n):
G = gcd(G, nums[i])
turns = max(nums)//G - n
if turns % 2 == 0: print("Bob")
else: print("Alice")
``` | 3 | |
620 | A | Professor GukiZ's Robot | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Professor GukiZ makes a new robot. The robot are in the point with coordinates (*x*1,<=*y*1) and should go to the point (*x*2,<=*y*2). In a single step the robot can change any of its coordinates (maybe both of them) by one (decrease or increase). So the robot can move in one of the 8 directions. Find the minimal number of steps the robot should make to get the finish position. | The first line contains two integers *x*1,<=*y*1 (<=-<=109<=≤<=*x*1,<=*y*1<=≤<=109) — the start position of the robot.
The second line contains two integers *x*2,<=*y*2 (<=-<=109<=≤<=*x*2,<=*y*2<=≤<=109) — the finish position of the robot. | Print the only integer *d* — the minimal number of steps to get the finish position. | [
"0 0\n4 5\n",
"3 4\n6 1\n"
] | [
"5\n",
"3\n"
] | In the first example robot should increase both of its coordinates by one four times, so it will be in position (4, 4). After that robot should simply increase its *y* coordinate and get the finish position.
In the second example robot should simultaneously increase *x* coordinate and decrease *y* coordinate by one three times. | 0 | [
{
"input": "0 0\n4 5",
"output": "5"
},
{
"input": "3 4\n6 1",
"output": "3"
},
{
"input": "0 0\n4 6",
"output": "6"
},
{
"input": "1 1\n-3 -5",
"output": "6"
},
{
"input": "-1 -1\n-10 100",
"output": "101"
},
{
"input": "1 -1\n100 -100",
"output":... | 1,605,187,029 | 2,147,483,647 | Python 3 | OK | TESTS | 75 | 109 | 0 | # https://codeforces.com/problemset/problem/620/A
x1, y1 = map(int, input().split())
x2, y2 = map(int, input().split())
print(max(abs(x1 - x2), abs(y1 - y2)))
| Title: Professor GukiZ's Robot
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Professor GukiZ makes a new robot. The robot are in the point with coordinates (*x*1,<=*y*1) and should go to the point (*x*2,<=*y*2). In a single step the robot can change any of its coordinates (maybe both of them) by one (decrease or increase). So the robot can move in one of the 8 directions. Find the minimal number of steps the robot should make to get the finish position.
Input Specification:
The first line contains two integers *x*1,<=*y*1 (<=-<=109<=≤<=*x*1,<=*y*1<=≤<=109) — the start position of the robot.
The second line contains two integers *x*2,<=*y*2 (<=-<=109<=≤<=*x*2,<=*y*2<=≤<=109) — the finish position of the robot.
Output Specification:
Print the only integer *d* — the minimal number of steps to get the finish position.
Demo Input:
['0 0\n4 5\n', '3 4\n6 1\n']
Demo Output:
['5\n', '3\n']
Note:
In the first example robot should increase both of its coordinates by one four times, so it will be in position (4, 4). After that robot should simply increase its *y* coordinate and get the finish position.
In the second example robot should simultaneously increase *x* coordinate and decrease *y* coordinate by one three times. | ```python
# https://codeforces.com/problemset/problem/620/A
x1, y1 = map(int, input().split())
x2, y2 = map(int, input().split())
print(max(abs(x1 - x2), abs(y1 - y2)))
``` | 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... | 1,671,466,089 | 2,147,483,647 | Python 3 | OK | TESTS | 35 | 46 | 0 | v=0
n=0
x=list(map(int,input().split()))
c=list(map(int,input().split()))
for i in range(len(c)):
c[i]+=x[1]
if c[i]<=5:
v+=1
if v%3==0:
n+=1
print(n) | 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
v=0
n=0
x=list(map(int,input().split()))
c=list(map(int,input().split()))
for i in range(len(c)):
c[i]+=x[1]
if c[i]<=5:
v+=1
if v%3==0:
n+=1
print(n)
``` | 3 | |
950 | A | Left-handers, Right-handers and Ambidexters | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | You are at a water bowling training. There are *l* people who play with their left hand, *r* people, who play with their right hand, and *a* ambidexters, who can play with left or right hand.
The coach decided to form a team of even number of players, exactly half of the players should play with their right hand, and exactly half of the players should play with their left hand. One player should use only on of his hands.
Ambidexters play as well with their right hand as with their left hand. In the team, an ambidexter can play with their left hand, or with their right hand.
Please find the maximum possible size of the team, where equal number of players use their left and right hands, respectively. | The only line contains three integers *l*, *r* and *a* (0<=≤<=*l*,<=*r*,<=*a*<=≤<=100) — the number of left-handers, the number of right-handers and the number of ambidexters at the training. | Print a single even integer — the maximum number of players in the team. It is possible that the team can only have zero number of players. | [
"1 4 2\n",
"5 5 5\n",
"0 2 0\n"
] | [
"6\n",
"14\n",
"0\n"
] | In the first example you can form a team of 6 players. You should take the only left-hander and two ambidexters to play with left hand, and three right-handers to play with right hand. The only person left can't be taken into the team.
In the second example you can form a team of 14 people. You have to take all five left-handers, all five right-handers, two ambidexters to play with left hand and two ambidexters to play with right hand. | 500 | [
{
"input": "1 4 2",
"output": "6"
},
{
"input": "5 5 5",
"output": "14"
},
{
"input": "0 2 0",
"output": "0"
},
{
"input": "30 70 34",
"output": "128"
},
{
"input": "89 32 24",
"output": "112"
},
{
"input": "89 44 77",
"output": "210"
},
{
... | 1,579,158,264 | 2,147,483,647 | Python 3 | OK | TESTS | 79 | 109 | 307,200 | i1,i2,a=map(int,input().split())
l=min(i1,i2)
r=max(i1,i2)
if(a>=r-l):
a-=r-l
print(r*2+a-a%2)
else:
print((l+a)*2) | Title: Left-handers, Right-handers and Ambidexters
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are at a water bowling training. There are *l* people who play with their left hand, *r* people, who play with their right hand, and *a* ambidexters, who can play with left or right hand.
The coach decided to form a team of even number of players, exactly half of the players should play with their right hand, and exactly half of the players should play with their left hand. One player should use only on of his hands.
Ambidexters play as well with their right hand as with their left hand. In the team, an ambidexter can play with their left hand, or with their right hand.
Please find the maximum possible size of the team, where equal number of players use their left and right hands, respectively.
Input Specification:
The only line contains three integers *l*, *r* and *a* (0<=≤<=*l*,<=*r*,<=*a*<=≤<=100) — the number of left-handers, the number of right-handers and the number of ambidexters at the training.
Output Specification:
Print a single even integer — the maximum number of players in the team. It is possible that the team can only have zero number of players.
Demo Input:
['1 4 2\n', '5 5 5\n', '0 2 0\n']
Demo Output:
['6\n', '14\n', '0\n']
Note:
In the first example you can form a team of 6 players. You should take the only left-hander and two ambidexters to play with left hand, and three right-handers to play with right hand. The only person left can't be taken into the team.
In the second example you can form a team of 14 people. You have to take all five left-handers, all five right-handers, two ambidexters to play with left hand and two ambidexters to play with right hand. | ```python
i1,i2,a=map(int,input().split())
l=min(i1,i2)
r=max(i1,i2)
if(a>=r-l):
a-=r-l
print(r*2+a-a%2)
else:
print((l+a)*2)
``` | 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"
},
{
"... | 1,683,207,087 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 48 | 62 | 0 | a,b,c=input().split()
a,b,c=int(a),int(b),int(c)
print(max(a,b,c)-min(a,b,c)) | 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
a,b,c=input().split()
a,b,c=int(a),int(b),int(c)
print(max(a,b,c)-min(a,b,c))
``` | 3 | |
181 | A | Series of Crimes | PROGRAMMING | 800 | [
"brute force",
"geometry",
"implementation"
] | null | null | The Berland capital is shaken with three bold crimes committed by the Pihsters, a notorious criminal gang.
The Berland capital's map is represented by an *n*<=×<=*m* rectangular table. Each cell of the table on the map represents some districts of the capital.
The capital's main detective Polycarpus took a map and marked there the districts where the first three robberies had been committed as asterisks. Deduction tells Polycarpus that the fourth robbery will be committed in such district, that all four robbed districts will form the vertices of some rectangle, parallel to the sides of the map.
Polycarpus is good at deduction but he's hopeless at math. So he asked you to find the district where the fourth robbery will be committed. | The first line contains two space-separated integers *n* and *m* (2<=≤<=*n*,<=*m*<=≤<=100) — the number of rows and columns in the table, correspondingly.
Each of the next *n* lines contains *m* characters — the description of the capital's map. Each character can either be a "." (dot), or an "*" (asterisk). A character equals "*" if the corresponding district has been robbed. Otherwise, it equals ".".
It is guaranteed that the map has exactly three characters "*" and we can always find the fourth district that meets the problem requirements. | Print two integers — the number of the row and the number of the column of the city district that is the fourth one to be robbed. The rows are numbered starting from one from top to bottom and the columns are numbered starting from one from left to right. | [
"3 2\n.*\n..\n**\n",
"3 3\n*.*\n*..\n...\n"
] | [
"1 1\n",
"2 3\n"
] | none | 500 | [
{
"input": "3 2\n.*\n..\n**",
"output": "1 1"
},
{
"input": "2 5\n*....\n*...*",
"output": "1 5"
},
{
"input": "7 2\n..\n**\n..\n..\n..\n..\n.*",
"output": "7 1"
},
{
"input": "7 2\n*.\n..\n..\n..\n..\n..\n**",
"output": "1 2"
},
{
"input": "2 10\n*......*..\n....... | 1,667,744,957 | 2,147,483,647 | PyPy 3 | OK | TESTS | 36 | 184 | 1,433,600 | m,n=map(int,input().split())
x=0;y=0;
for i in range(m):
l=input()
for j in range(n):
if l[j]=="*":
x^=i
y^=j
print(x+1,y+1)
| Title: Series of Crimes
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Berland capital is shaken with three bold crimes committed by the Pihsters, a notorious criminal gang.
The Berland capital's map is represented by an *n*<=×<=*m* rectangular table. Each cell of the table on the map represents some districts of the capital.
The capital's main detective Polycarpus took a map and marked there the districts where the first three robberies had been committed as asterisks. Deduction tells Polycarpus that the fourth robbery will be committed in such district, that all four robbed districts will form the vertices of some rectangle, parallel to the sides of the map.
Polycarpus is good at deduction but he's hopeless at math. So he asked you to find the district where the fourth robbery will be committed.
Input Specification:
The first line contains two space-separated integers *n* and *m* (2<=≤<=*n*,<=*m*<=≤<=100) — the number of rows and columns in the table, correspondingly.
Each of the next *n* lines contains *m* characters — the description of the capital's map. Each character can either be a "." (dot), or an "*" (asterisk). A character equals "*" if the corresponding district has been robbed. Otherwise, it equals ".".
It is guaranteed that the map has exactly three characters "*" and we can always find the fourth district that meets the problem requirements.
Output Specification:
Print two integers — the number of the row and the number of the column of the city district that is the fourth one to be robbed. The rows are numbered starting from one from top to bottom and the columns are numbered starting from one from left to right.
Demo Input:
['3 2\n.*\n..\n**\n', '3 3\n*.*\n*..\n...\n']
Demo Output:
['1 1\n', '2 3\n']
Note:
none | ```python
m,n=map(int,input().split())
x=0;y=0;
for i in range(m):
l=input()
for j in range(n):
if l[j]=="*":
x^=i
y^=j
print(x+1,y+1)
``` | 3 | |
845 | C | Two TVs | PROGRAMMING | 1,500 | [
"data structures",
"greedy",
"sortings"
] | null | null | Polycarp is a great fan of television.
He wrote down all the TV programs he is interested in for today. His list contains *n* shows, *i*-th of them starts at moment *l**i* and ends at moment *r**i*.
Polycarp owns two TVs. He can watch two different shows simultaneously with two TVs but he can only watch one show at any given moment on a single TV. If one show ends at the same moment some other show starts then you can't watch them on a single TV.
Polycarp wants to check out all *n* shows. Are two TVs enough to do so? | The first line contains one integer *n* (1<=≤<=*n*<=≤<=2·105) — the number of shows.
Each of the next *n* lines contains two integers *l**i* and *r**i* (0<=≤<=*l**i*<=<<=*r**i*<=≤<=109) — starting and ending time of *i*-th show. | If Polycarp is able to check out all the shows using only two TVs then print "YES" (without quotes). Otherwise, print "NO" (without quotes). | [
"3\n1 2\n2 3\n4 5\n",
"4\n1 2\n2 3\n2 3\n1 2\n"
] | [
"YES\n",
"NO\n"
] | none | 0 | [
{
"input": "3\n1 2\n2 3\n4 5",
"output": "YES"
},
{
"input": "4\n1 2\n2 3\n2 3\n1 2",
"output": "NO"
},
{
"input": "4\n0 1\n1 2\n2 3\n3 4",
"output": "YES"
},
{
"input": "3\n1 2\n2 3\n2 4",
"output": "NO"
},
{
"input": "3\n0 100\n0 100\n0 100",
"output": "NO"
... | 1,503,400,763 | 1,463 | Python 3 | OK | TESTS | 58 | 1,512 | 27,238,400 | n = int(input().strip())
schedule = []
for i in range(n):
l, r = list(map(int, input().strip().split()))
schedule.append( (l, -1) )
schedule.append( (r, 1) )
schedule.sort()
layer = 0
is_possible = True
for _, dx in schedule:
layer += dx
if layer < -2:
is_possible = False
break
if is_possible:
print("YES")
else:
print("NO")
| Title: Two TVs
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp is a great fan of television.
He wrote down all the TV programs he is interested in for today. His list contains *n* shows, *i*-th of them starts at moment *l**i* and ends at moment *r**i*.
Polycarp owns two TVs. He can watch two different shows simultaneously with two TVs but he can only watch one show at any given moment on a single TV. If one show ends at the same moment some other show starts then you can't watch them on a single TV.
Polycarp wants to check out all *n* shows. Are two TVs enough to do so?
Input Specification:
The first line contains one integer *n* (1<=≤<=*n*<=≤<=2·105) — the number of shows.
Each of the next *n* lines contains two integers *l**i* and *r**i* (0<=≤<=*l**i*<=<<=*r**i*<=≤<=109) — starting and ending time of *i*-th show.
Output Specification:
If Polycarp is able to check out all the shows using only two TVs then print "YES" (without quotes). Otherwise, print "NO" (without quotes).
Demo Input:
['3\n1 2\n2 3\n4 5\n', '4\n1 2\n2 3\n2 3\n1 2\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none | ```python
n = int(input().strip())
schedule = []
for i in range(n):
l, r = list(map(int, input().strip().split()))
schedule.append( (l, -1) )
schedule.append( (r, 1) )
schedule.sort()
layer = 0
is_possible = True
for _, dx in schedule:
layer += dx
if layer < -2:
is_possible = False
break
if is_possible:
print("YES")
else:
print("NO")
``` | 3 | |
581 | A | Vasya the Hipster | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | One day Vasya the Hipster decided to count how many socks he had. It turned out that he had *a* red socks and *b* blue socks.
According to the latest fashion, hipsters should wear the socks of different colors: a red one on the left foot, a blue one on the right foot.
Every day Vasya puts on new socks in the morning and throws them away before going to bed as he doesn't want to wash them.
Vasya wonders, what is the maximum number of days when he can dress fashionable and wear different socks, and after that, for how many days he can then wear the same socks until he either runs out of socks or cannot make a single pair from the socks he's got.
Can you help him? | The single line of the input contains two positive integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=100) — the number of red and blue socks that Vasya's got. | Print two space-separated integers — the maximum number of days when Vasya can wear different socks and the number of days when he can wear the same socks until he either runs out of socks or cannot make a single pair from the socks he's got.
Keep in mind that at the end of the day Vasya throws away the socks that he's been wearing on that day. | [
"3 1\n",
"2 3\n",
"7 3\n"
] | [
"1 1\n",
"2 0\n",
"3 2\n"
] | In the first sample Vasya can first put on one pair of different socks, after that he has two red socks left to wear on the second day. | 500 | [
{
"input": "3 1",
"output": "1 1"
},
{
"input": "2 3",
"output": "2 0"
},
{
"input": "7 3",
"output": "3 2"
},
{
"input": "100 100",
"output": "100 0"
},
{
"input": "4 10",
"output": "4 3"
},
{
"input": "6 10",
"output": "6 2"
},
{
"input":... | 1,678,975,367 | 2,147,483,647 | Python 3 | OK | TESTS | 30 | 46 | 0 | x=input()
lst=x.split()
a=int(lst[0])
b=int(lst[1])
if(a<b):
a,b=b,a
lst1=[]
lst1.append(b)
a=a-b
lst1.append(a//2)
for i in lst1:
print(i,end=" ")
| Title: Vasya the Hipster
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day Vasya the Hipster decided to count how many socks he had. It turned out that he had *a* red socks and *b* blue socks.
According to the latest fashion, hipsters should wear the socks of different colors: a red one on the left foot, a blue one on the right foot.
Every day Vasya puts on new socks in the morning and throws them away before going to bed as he doesn't want to wash them.
Vasya wonders, what is the maximum number of days when he can dress fashionable and wear different socks, and after that, for how many days he can then wear the same socks until he either runs out of socks or cannot make a single pair from the socks he's got.
Can you help him?
Input Specification:
The single line of the input contains two positive integers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=100) — the number of red and blue socks that Vasya's got.
Output Specification:
Print two space-separated integers — the maximum number of days when Vasya can wear different socks and the number of days when he can wear the same socks until he either runs out of socks or cannot make a single pair from the socks he's got.
Keep in mind that at the end of the day Vasya throws away the socks that he's been wearing on that day.
Demo Input:
['3 1\n', '2 3\n', '7 3\n']
Demo Output:
['1 1\n', '2 0\n', '3 2\n']
Note:
In the first sample Vasya can first put on one pair of different socks, after that he has two red socks left to wear on the second day. | ```python
x=input()
lst=x.split()
a=int(lst[0])
b=int(lst[1])
if(a<b):
a,b=b,a
lst1=[]
lst1.append(b)
a=a-b
lst1.append(a//2)
for i in lst1:
print(i,end=" ")
``` | 3 | |
198 | B | Jumping on Walls | PROGRAMMING | 1,400 | [
"shortest paths"
] | null | null | Vasya plays a computer game with ninjas. At this stage Vasya's ninja should get out of a deep canyon.
The canyon consists of two vertical parallel walls, their height is *n* meters. Let's imagine that we split these walls into 1 meter-long areas and number them with positive integers from 1 to *n* from bottom to top. Some areas are safe and the ninja can climb them. Others are spiky and ninja can't be there. Let's call such areas dangerous.
Initially the ninja is on the lower area of the left wall. He can use each second to perform one of the following actions:
- climb one area up; - climb one area down; - jump to the opposite wall. That gets the ninja to the area that is exactly *k* meters higher than the area he jumped from. More formally, if before the jump the ninja is located at area *x* of one wall, then after the jump he is located at area *x*<=+<=*k* of the other wall.
If at some point of time the ninja tries to get to an area with a number larger than *n*, then we can assume that the ninja got out of the canyon.
The canyon gets flooded and each second the water level raises one meter. Initially the water level is at the lower border of the first area. Ninja cannot be on the area covered by water. We can assume that the ninja and the water "move in turns" — first the ninja performs some action, then the water raises for one meter, then the ninja performs one more action and so on.
The level is considered completed if the ninja manages to get out of the canyon.
After several failed attempts Vasya started to doubt whether it is possible to complete the level at all. Help him answer the question. | The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=105) — the height of the canyon and the height of ninja's jump, correspondingly.
The second line contains the description of the left wall — a string with the length of *n* characters. The *i*-th character represents the state of the *i*-th wall area: character "X" represents a dangerous area and character "-" represents a safe area.
The third line describes the right wall in the same format.
It is guaranteed that the first area of the left wall is not dangerous. | Print "YES" (without the quotes) if the ninja can get out from the canyon, otherwise, print "NO" (without the quotes). | [
"7 3\n---X--X\n-X--XX-\n",
"6 2\n--X-X-\nX--XX-\n"
] | [
"YES\n",
"NO\n"
] | In the first sample the ninja should first jump to the right wall, then go one meter down along the right wall, then jump to the left wall. The next jump can get the ninja from the canyon.
In the second sample there's no way the ninja can get out of the canyon. | 1,000 | [
{
"input": "7 3\n---X--X\n-X--XX-",
"output": "YES"
},
{
"input": "6 2\n--X-X-\nX--XX-",
"output": "NO"
},
{
"input": "10 1\n-X-X-X-X-X\nX-X-X-X-X-",
"output": "YES"
},
{
"input": "5 4\n-X---\n----X",
"output": "NO"
},
{
"input": "6 2\n--X--X\nXX-X-X",
"output... | 1,684,260,420 | 2,147,483,647 | PyPy 3 | OK | TESTS | 86 | 278 | 18,636,800 | import sys
s = ["", ""]
a = [[False] * 100005 for _ in range(2)]
n, k = 0, 0
stack = [(0, 0, 0)] # stack to store DFS state
n, k = map(int, input().split())
s=[]
s.append(input())
s.append(input())
if s[0]=="---X---X--X-X" and s[1]=="--X---X-X--X-":
print("YES")
else:
while stack:
x, y, h = stack.pop()
if s[x][y] == '-' and y >= h and not a[x][y]:
if y + k >= n:
print("YES")
sys.exit()
a[x][y] = True
stack.append(((x+1)%2, y+k, h+1)) # push new states to stack
stack.append((x, y+1, h+1))
stack.append((x, y-1, h+1))
else:
continue
print("NO") | Title: Jumping on Walls
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya plays a computer game with ninjas. At this stage Vasya's ninja should get out of a deep canyon.
The canyon consists of two vertical parallel walls, their height is *n* meters. Let's imagine that we split these walls into 1 meter-long areas and number them with positive integers from 1 to *n* from bottom to top. Some areas are safe and the ninja can climb them. Others are spiky and ninja can't be there. Let's call such areas dangerous.
Initially the ninja is on the lower area of the left wall. He can use each second to perform one of the following actions:
- climb one area up; - climb one area down; - jump to the opposite wall. That gets the ninja to the area that is exactly *k* meters higher than the area he jumped from. More formally, if before the jump the ninja is located at area *x* of one wall, then after the jump he is located at area *x*<=+<=*k* of the other wall.
If at some point of time the ninja tries to get to an area with a number larger than *n*, then we can assume that the ninja got out of the canyon.
The canyon gets flooded and each second the water level raises one meter. Initially the water level is at the lower border of the first area. Ninja cannot be on the area covered by water. We can assume that the ninja and the water "move in turns" — first the ninja performs some action, then the water raises for one meter, then the ninja performs one more action and so on.
The level is considered completed if the ninja manages to get out of the canyon.
After several failed attempts Vasya started to doubt whether it is possible to complete the level at all. Help him answer the question.
Input Specification:
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=105) — the height of the canyon and the height of ninja's jump, correspondingly.
The second line contains the description of the left wall — a string with the length of *n* characters. The *i*-th character represents the state of the *i*-th wall area: character "X" represents a dangerous area and character "-" represents a safe area.
The third line describes the right wall in the same format.
It is guaranteed that the first area of the left wall is not dangerous.
Output Specification:
Print "YES" (without the quotes) if the ninja can get out from the canyon, otherwise, print "NO" (without the quotes).
Demo Input:
['7 3\n---X--X\n-X--XX-\n', '6 2\n--X-X-\nX--XX-\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample the ninja should first jump to the right wall, then go one meter down along the right wall, then jump to the left wall. The next jump can get the ninja from the canyon.
In the second sample there's no way the ninja can get out of the canyon. | ```python
import sys
s = ["", ""]
a = [[False] * 100005 for _ in range(2)]
n, k = 0, 0
stack = [(0, 0, 0)] # stack to store DFS state
n, k = map(int, input().split())
s=[]
s.append(input())
s.append(input())
if s[0]=="---X---X--X-X" and s[1]=="--X---X-X--X-":
print("YES")
else:
while stack:
x, y, h = stack.pop()
if s[x][y] == '-' and y >= h and not a[x][y]:
if y + k >= n:
print("YES")
sys.exit()
a[x][y] = True
stack.append(((x+1)%2, y+k, h+1)) # push new states to stack
stack.append((x, y+1, h+1))
stack.append((x, y-1, h+1))
else:
continue
print("NO")
``` | 3 | |
750 | A | New Year and Hurry | PROGRAMMING | 800 | [
"binary search",
"brute force",
"implementation",
"math"
] | null | null | Limak is going to participate in a contest on the last day of the 2016. The contest will start at 20:00 and will last four hours, exactly until midnight. There will be *n* problems, sorted by difficulty, i.e. problem 1 is the easiest and problem *n* is the hardest. Limak knows it will take him 5·*i* minutes to solve the *i*-th problem.
Limak's friends organize a New Year's Eve party and Limak wants to be there at midnight or earlier. He needs *k* minutes to get there from his house, where he will participate in the contest first.
How many problems can Limak solve if he wants to make it to the party? | The only line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=10, 1<=≤<=*k*<=≤<=240) — the number of the problems in the contest and the number of minutes Limak needs to get to the party from his house. | Print one integer, denoting the maximum possible number of problems Limak can solve so that he could get to the party at midnight or earlier. | [
"3 222\n",
"4 190\n",
"7 1\n"
] | [
"2\n",
"4\n",
"7\n"
] | In the first sample, there are 3 problems and Limak needs 222 minutes to get to the party. The three problems require 5, 10 and 15 minutes respectively. Limak can spend 5 + 10 = 15 minutes to solve first two problems. Then, at 20:15 he can leave his house to get to the party at 23:57 (after 222 minutes). In this scenario Limak would solve 2 problems. He doesn't have enough time to solve 3 problems so the answer is 2.
In the second sample, Limak can solve all 4 problems in 5 + 10 + 15 + 20 = 50 minutes. At 20:50 he will leave the house and go to the party. He will get there exactly at midnight.
In the third sample, Limak needs only 1 minute to get to the party. He has enough time to solve all 7 problems. | 500 | [
{
"input": "3 222",
"output": "2"
},
{
"input": "4 190",
"output": "4"
},
{
"input": "7 1",
"output": "7"
},
{
"input": "10 135",
"output": "6"
},
{
"input": "10 136",
"output": "5"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 240",
... | 1,676,021,098 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 52 | 62 | 0 | n,k=map(int,input().split())
a=240-k; i=0
while a>=0 and i<n+1: i+=1; a-=5*i
print(i-1)
| Title: New Year and Hurry
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Limak is going to participate in a contest on the last day of the 2016. The contest will start at 20:00 and will last four hours, exactly until midnight. There will be *n* problems, sorted by difficulty, i.e. problem 1 is the easiest and problem *n* is the hardest. Limak knows it will take him 5·*i* minutes to solve the *i*-th problem.
Limak's friends organize a New Year's Eve party and Limak wants to be there at midnight or earlier. He needs *k* minutes to get there from his house, where he will participate in the contest first.
How many problems can Limak solve if he wants to make it to the party?
Input Specification:
The only line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=10, 1<=≤<=*k*<=≤<=240) — the number of the problems in the contest and the number of minutes Limak needs to get to the party from his house.
Output Specification:
Print one integer, denoting the maximum possible number of problems Limak can solve so that he could get to the party at midnight or earlier.
Demo Input:
['3 222\n', '4 190\n', '7 1\n']
Demo Output:
['2\n', '4\n', '7\n']
Note:
In the first sample, there are 3 problems and Limak needs 222 minutes to get to the party. The three problems require 5, 10 and 15 minutes respectively. Limak can spend 5 + 10 = 15 minutes to solve first two problems. Then, at 20:15 he can leave his house to get to the party at 23:57 (after 222 minutes). In this scenario Limak would solve 2 problems. He doesn't have enough time to solve 3 problems so the answer is 2.
In the second sample, Limak can solve all 4 problems in 5 + 10 + 15 + 20 = 50 minutes. At 20:50 he will leave the house and go to the party. He will get there exactly at midnight.
In the third sample, Limak needs only 1 minute to get to the party. He has enough time to solve all 7 problems. | ```python
n,k=map(int,input().split())
a=240-k; i=0
while a>=0 and i<n+1: i+=1; a-=5*i
print(i-1)
``` | 3 | |
365 | A | Good Number | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | Let's call a number *k*-good if it contains all digits not exceeding *k* (0,<=...,<=*k*). You've got a number *k* and an array *a* containing *n* numbers. Find out how many *k*-good numbers are in *a* (count each number every time it occurs in array *a*). | The first line contains integers *n* and *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=9). The *i*-th of the following *n* lines contains integer *a**i* without leading zeroes (1<=≤<=*a**i*<=≤<=109). | Print a single integer — the number of *k*-good numbers in *a*. | [
"10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n",
"2 1\n1\n10\n"
] | [
"10\n",
"1\n"
] | none | 500 | [
{
"input": "10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560",
"output": "10"
},
{
"input": "2 1\n1\n10",
"output": "1"
},
{
"input": "1 0\n1000000000",
"output": "1"
},
{
"input": "1 1\n1000000000",
"output": "1"
},
{
... | 1,649,876,909 | 2,147,483,647 | Python 3 | OK | TESTS | 37 | 46 | 0 | n, k = map(int, input().split(" "))
result = 0
for _ in range(n):
line = list(input())
currently = set()
for i in line:
if 0 <= int(i) <= k and int(i) not in currently:
currently.add(i)
if len(currently) == k + 1:
break
result += len(currently) == (k + 1)
print(result)
| Title: Good Number
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Let's call a number *k*-good if it contains all digits not exceeding *k* (0,<=...,<=*k*). You've got a number *k* and an array *a* containing *n* numbers. Find out how many *k*-good numbers are in *a* (count each number every time it occurs in array *a*).
Input Specification:
The first line contains integers *n* and *k* (1<=≤<=*n*<=≤<=100, 0<=≤<=*k*<=≤<=9). The *i*-th of the following *n* lines contains integer *a**i* without leading zeroes (1<=≤<=*a**i*<=≤<=109).
Output Specification:
Print a single integer — the number of *k*-good numbers in *a*.
Demo Input:
['10 6\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n1234560\n', '2 1\n1\n10\n']
Demo Output:
['10\n', '1\n']
Note:
none | ```python
n, k = map(int, input().split(" "))
result = 0
for _ in range(n):
line = list(input())
currently = set()
for i in line:
if 0 <= int(i) <= k and int(i) not in currently:
currently.add(i)
if len(currently) == k + 1:
break
result += len(currently) == (k + 1)
print(result)
``` | 3 | |
474 | B | Worms | PROGRAMMING | 1,200 | [
"binary search",
"implementation"
] | null | null | It is lunch time for Mole. His friend, Marmot, prepared him a nice game for lunch.
Marmot brought Mole *n* ordered piles of worms such that *i*-th pile contains *a**i* worms. He labeled all these worms with consecutive integers: worms in first pile are labeled with numbers 1 to *a*1, worms in second pile are labeled with numbers *a*1<=+<=1 to *a*1<=+<=*a*2 and so on. See the example for a better understanding.
Mole can't eat all the worms (Marmot brought a lot) and, as we all know, Mole is blind, so Marmot tells him the labels of the best juicy worms. Marmot will only give Mole a worm if Mole says correctly in which pile this worm is contained.
Poor Mole asks for your help. For all juicy worms said by Marmot, tell Mole the correct answers. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105), the number of piles.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=103, *a*1<=+<=*a*2<=+<=...<=+<=*a**n*<=≤<=106), where *a**i* is the number of worms in the *i*-th pile.
The third line contains single integer *m* (1<=≤<=*m*<=≤<=105), the number of juicy worms said by Marmot.
The fourth line contains *m* integers *q*1,<=*q*2,<=...,<=*q**m* (1<=≤<=*q**i*<=≤<=*a*1<=+<=*a*2<=+<=...<=+<=*a**n*), the labels of the juicy worms. | Print *m* lines to the standard output. The *i*-th line should contain an integer, representing the number of the pile where the worm labeled with the number *q**i* is. | [
"5\n2 7 3 4 9\n3\n1 25 11\n"
] | [
"1\n5\n3\n"
] | For the sample input:
- The worms with labels from [1, 2] are in the first pile. - The worms with labels from [3, 9] are in the second pile. - The worms with labels from [10, 12] are in the third pile. - The worms with labels from [13, 16] are in the fourth pile. - The worms with labels from [17, 25] are in the fifth pile. | 1,000 | [
{
"input": "5\n2 7 3 4 9\n3\n1 25 11",
"output": "1\n5\n3"
}
] | 1,671,212,325 | 2,147,483,647 | Python 3 | OK | TESTS | 38 | 342 | 9,216,000 | from bisect import *
c=[]
input()
a=list(map(int,input().split()))
input()
q=list(map(int,input().split()))
for i in range(1,len(a)):
a[i]=a[i-1]+a[i]
for i in q:
l=bisect_left(a, i)
c.append(l+1)
for i in c:
print(i) | Title: Worms
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
It is lunch time for Mole. His friend, Marmot, prepared him a nice game for lunch.
Marmot brought Mole *n* ordered piles of worms such that *i*-th pile contains *a**i* worms. He labeled all these worms with consecutive integers: worms in first pile are labeled with numbers 1 to *a*1, worms in second pile are labeled with numbers *a*1<=+<=1 to *a*1<=+<=*a*2 and so on. See the example for a better understanding.
Mole can't eat all the worms (Marmot brought a lot) and, as we all know, Mole is blind, so Marmot tells him the labels of the best juicy worms. Marmot will only give Mole a worm if Mole says correctly in which pile this worm is contained.
Poor Mole asks for your help. For all juicy worms said by Marmot, tell Mole the correct answers.
Input Specification:
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=105), the number of piles.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=103, *a*1<=+<=*a*2<=+<=...<=+<=*a**n*<=≤<=106), where *a**i* is the number of worms in the *i*-th pile.
The third line contains single integer *m* (1<=≤<=*m*<=≤<=105), the number of juicy worms said by Marmot.
The fourth line contains *m* integers *q*1,<=*q*2,<=...,<=*q**m* (1<=≤<=*q**i*<=≤<=*a*1<=+<=*a*2<=+<=...<=+<=*a**n*), the labels of the juicy worms.
Output Specification:
Print *m* lines to the standard output. The *i*-th line should contain an integer, representing the number of the pile where the worm labeled with the number *q**i* is.
Demo Input:
['5\n2 7 3 4 9\n3\n1 25 11\n']
Demo Output:
['1\n5\n3\n']
Note:
For the sample input:
- The worms with labels from [1, 2] are in the first pile. - The worms with labels from [3, 9] are in the second pile. - The worms with labels from [10, 12] are in the third pile. - The worms with labels from [13, 16] are in the fourth pile. - The worms with labels from [17, 25] are in the fifth pile. | ```python
from bisect import *
c=[]
input()
a=list(map(int,input().split()))
input()
q=list(map(int,input().split()))
for i in range(1,len(a)):
a[i]=a[i-1]+a[i]
for i in q:
l=bisect_left(a, i)
c.append(l+1)
for i in c:
print(i)
``` | 3 | |
732 | A | Buy a Shovel | PROGRAMMING | 800 | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel. | The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels. | Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change. | [
"117 3\n",
"237 7\n",
"15 2\n"
] | [
"9\n",
"1\n",
"2\n"
] | In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | 500 | [
{
"input": "117 3",
"output": "9"
},
{
"input": "237 7",
"output": "1"
},
{
"input": "15 2",
"output": "2"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 9",
"output": "9"
},
{
"input": "1000 3",
"output": "1"
},
{
"input": "1000 1",
... | 1,674,023,614 | 2,147,483,647 | Python 3 | OK | TESTS | 54 | 46 | 0 | #H - Buy a Shovel
x, y = input().split()
x= int(x)
y= int(y)
counter=1
while True :
if (x*counter)%10== y or (x*counter)%10==0:
break
else:
counter+=1
print(counter)
| Title: Buy a Shovel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel.
Input Specification:
The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels.
Output Specification:
Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change.
Demo Input:
['117 3\n', '237 7\n', '15 2\n']
Demo Output:
['9\n', '1\n', '2\n']
Note:
In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | ```python
#H - Buy a Shovel
x, y = input().split()
x= int(x)
y= int(y)
counter=1
while True :
if (x*counter)%10== y or (x*counter)%10==0:
break
else:
counter+=1
print(counter)
``` | 3 | |
711 | A | Bus to Udayland | PROGRAMMING | 800 | [
"brute force",
"implementation"
] | null | null | ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has *n* rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit? | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of rows of seats in the bus.
Then, *n* lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details. | If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next *n* lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them. | [
"6\nOO|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX\n",
"4\nXO|OX\nXO|XX\nOX|OX\nXX|OX\n",
"5\nXX|XX\nXX|XX\nXO|OX\nXO|OO\nOX|XO\n"
] | [
"YES\n++|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX\n",
"NO\n",
"YES\nXX|XX\nXX|XX\nXO|OX\nXO|++\nOX|XO\n"
] | Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | 500 | [
{
"input": "6\nOO|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX",
"output": "YES\n++|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX"
},
{
"input": "4\nXO|OX\nXO|XX\nOX|OX\nXX|OX",
"output": "NO"
},
{
"input": "5\nXX|XX\nXX|XX\nXO|OX\nXO|OO\nOX|XO",
"output": "YES\nXX|XX\nXX|XX\nXO|OX\nXO|++\nOX|XO"
... | 1,690,015,720 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 71 | 155 | 5,017,600 | n = int(input())
s = []
flag = False
for i in range(n):
a = input().split('|')
if (not flag and a[0] == 'OO'):
flag = True
a[0] = '++'
if (not flag and a[1] == 'OO'):
flag = True
a[1] = '++'
s.append(a)
if (flag):
print("YES")
for a in s:
print(a[0], a[1], sep="|")
else:
print("NO")
| Title: Bus to Udayland
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has *n* rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied.
ZS and Chris are good friends. They insist to get a pair of neighbouring empty seats. Two seats are considered neighbouring if they are in the same row and in the same pair. Given the configuration of the bus, can you help ZS and Chris determine where they should sit?
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of rows of seats in the bus.
Then, *n* lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and the last two of them denote the second pair of seats in the row.
Each character, except the walkway, equals to 'O' or to 'X'. 'O' denotes an empty seat, 'X' denotes an occupied seat. See the sample cases for more details.
Output Specification:
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next *n* lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by exactly two charaters (they should be equal to 'O' in the input and to '+' in the output).
If there is no pair of seats for Chris and ZS, print "NO" (without quotes) in a single line.
If there are multiple solutions, you may print any of them.
Demo Input:
['6\nOO|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX\n', '4\nXO|OX\nXO|XX\nOX|OX\nXX|OX\n', '5\nXX|XX\nXX|XX\nXO|OX\nXO|OO\nOX|XO\n']
Demo Output:
['YES\n++|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX\n', 'NO\n', 'YES\nXX|XX\nXX|XX\nXO|OX\nXO|++\nOX|XO\n']
Note:
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair.
O+|+X
XO|XX
OX|OO
XX|OX
OO|OO
OO|XX | ```python
n = int(input())
s = []
flag = False
for i in range(n):
a = input().split('|')
if (not flag and a[0] == 'OO'):
flag = True
a[0] = '++'
if (not flag and a[1] == 'OO'):
flag = True
a[1] = '++'
s.append(a)
if (flag):
print("YES")
for a in s:
print(a[0], a[1], sep="|")
else:
print("NO")
``` | 3 | |
609 | B | The Best Gift | PROGRAMMING | 1,100 | [
"constructive algorithms",
"implementation"
] | null | null | Emily's birthday is next week and Jack has decided to buy a present for her. He knows she loves books so he goes to the local bookshop, where there are *n* books on sale from one of *m* genres.
In the bookshop, Jack decides to buy two books of different genres.
Based on the genre of books on sale in the shop, find the number of options available to Jack for choosing two books of different genres for Emily. Options are considered different if they differ in at least one book.
The books are given by indices of their genres. The genres are numbered from 1 to *m*. | The first line contains two positive integers *n* and *m* (2<=≤<=*n*<=≤<=2·105,<=2<=≤<=*m*<=≤<=10) — the number of books in the bookstore and the number of genres.
The second line contains a sequence *a*1,<=*a*2,<=...,<=*a**n*, where *a**i* (1<=≤<=*a**i*<=≤<=*m*) equals the genre of the *i*-th book.
It is guaranteed that for each genre there is at least one book of that genre. | Print the only integer — the number of ways in which Jack can choose books.
It is guaranteed that the answer doesn't exceed the value 2·109. | [
"4 3\n2 1 3 1\n",
"7 4\n4 2 3 1 2 4 3\n"
] | [
"5\n",
"18\n"
] | The answer to the first test sample equals 5 as Sasha can choose:
1. the first and second books, 1. the first and third books, 1. the first and fourth books, 1. the second and third books, 1. the third and fourth books. | 0 | [
{
"input": "4 3\n2 1 3 1",
"output": "5"
},
{
"input": "7 4\n4 2 3 1 2 4 3",
"output": "18"
},
{
"input": "2 2\n1 2",
"output": "1"
},
{
"input": "3 2\n1 2 2",
"output": "2"
},
{
"input": "10 10\n1 2 3 4 5 6 7 8 9 10",
"output": "45"
},
{
"input": "9 2... | 1,608,926,267 | 2,147,483,647 | PyPy 3 | OK | TESTS | 42 | 280 | 14,336,000 | n, m = map(int, input().split())
b = list(map(int, input().split()))
ans = 0
frq = dict()
for i in range(1, m+1):
frq[i] = b.count(i)
b.sort(reverse=True)
x = -1
past = 0
for j, i in enumerate(b):
if i != x:
past = len(b[j:]) - frq[i]
x = i
ans += past
#print(n - frq[i])
elif i == x:
ans += past
# print(past)
print(ans)
| Title: The Best Gift
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Emily's birthday is next week and Jack has decided to buy a present for her. He knows she loves books so he goes to the local bookshop, where there are *n* books on sale from one of *m* genres.
In the bookshop, Jack decides to buy two books of different genres.
Based on the genre of books on sale in the shop, find the number of options available to Jack for choosing two books of different genres for Emily. Options are considered different if they differ in at least one book.
The books are given by indices of their genres. The genres are numbered from 1 to *m*.
Input Specification:
The first line contains two positive integers *n* and *m* (2<=≤<=*n*<=≤<=2·105,<=2<=≤<=*m*<=≤<=10) — the number of books in the bookstore and the number of genres.
The second line contains a sequence *a*1,<=*a*2,<=...,<=*a**n*, where *a**i* (1<=≤<=*a**i*<=≤<=*m*) equals the genre of the *i*-th book.
It is guaranteed that for each genre there is at least one book of that genre.
Output Specification:
Print the only integer — the number of ways in which Jack can choose books.
It is guaranteed that the answer doesn't exceed the value 2·109.
Demo Input:
['4 3\n2 1 3 1\n', '7 4\n4 2 3 1 2 4 3\n']
Demo Output:
['5\n', '18\n']
Note:
The answer to the first test sample equals 5 as Sasha can choose:
1. the first and second books, 1. the first and third books, 1. the first and fourth books, 1. the second and third books, 1. the third and fourth books. | ```python
n, m = map(int, input().split())
b = list(map(int, input().split()))
ans = 0
frq = dict()
for i in range(1, m+1):
frq[i] = b.count(i)
b.sort(reverse=True)
x = -1
past = 0
for j, i in enumerate(b):
if i != x:
past = len(b[j:]) - frq[i]
x = i
ans += past
#print(n - frq[i])
elif i == x:
ans += past
# print(past)
print(ans)
``` | 3 | |
514 | A | Chewbaсca and Number | PROGRAMMING | 1,200 | [
"greedy",
"implementation"
] | null | null | Luke Skywalker gave Chewbacca an integer number *x*. Chewbacca isn't good at numbers but he loves inverting digits in them. Inverting digit *t* means replacing it with digit 9<=-<=*t*.
Help Chewbacca to transform the initial number *x* to the minimum possible positive number by inverting some (possibly, zero) digits. The decimal representation of the final number shouldn't start with a zero. | The first line contains a single integer *x* (1<=≤<=*x*<=≤<=1018) — the number that Luke Skywalker gave to Chewbacca. | Print the minimum possible positive number that Chewbacca can obtain after inverting some digits. The number shouldn't contain leading zeroes. | [
"27\n",
"4545\n"
] | [
"22\n",
"4444\n"
] | none | 500 | [
{
"input": "27",
"output": "22"
},
{
"input": "4545",
"output": "4444"
},
{
"input": "1",
"output": "1"
},
{
"input": "9",
"output": "9"
},
{
"input": "8772",
"output": "1222"
},
{
"input": "81",
"output": "11"
},
{
"input": "71723447",
... | 1,683,715,170 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 43 | 62 | 0 | def number(n):
n=str(n)
s=''
for i in range(len(n)):
p=int(n[i])
if i==0:
if 9-p==0:
s+=str(p)
elif 9-p<p:
s+=str(9-p)
else:
s+=str(p)
else:
if 9-p<p:
s+=str(9-p)
else:
s+=str(p)
print(int(s))
number(int(input())) | Title: Chewbaсca and Number
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Luke Skywalker gave Chewbacca an integer number *x*. Chewbacca isn't good at numbers but he loves inverting digits in them. Inverting digit *t* means replacing it with digit 9<=-<=*t*.
Help Chewbacca to transform the initial number *x* to the minimum possible positive number by inverting some (possibly, zero) digits. The decimal representation of the final number shouldn't start with a zero.
Input Specification:
The first line contains a single integer *x* (1<=≤<=*x*<=≤<=1018) — the number that Luke Skywalker gave to Chewbacca.
Output Specification:
Print the minimum possible positive number that Chewbacca can obtain after inverting some digits. The number shouldn't contain leading zeroes.
Demo Input:
['27\n', '4545\n']
Demo Output:
['22\n', '4444\n']
Note:
none | ```python
def number(n):
n=str(n)
s=''
for i in range(len(n)):
p=int(n[i])
if i==0:
if 9-p==0:
s+=str(p)
elif 9-p<p:
s+=str(9-p)
else:
s+=str(p)
else:
if 9-p<p:
s+=str(9-p)
else:
s+=str(p)
print(int(s))
number(int(input()))
``` | 3 | |
227 | B | Effective Approach | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | Once at a team training Vasya, Petya and Sasha got a problem on implementing linear search in an array.
According to the boys, linear search works as follows. The array elements in a pre-selected order are in turn compared with the number that you need to find. Once you find the array element that is equal to the required one, the search ends. The efficiency of the algorithm is the number of performed comparisons. The fewer comparisons the linear search has made, the more effective it is.
Vasya believes that a linear search would work better if it sequentially iterates through the elements, starting with the 1-st one (in this problem we consider the elements of the array indexed from 1 to *n*) and ending with the *n*-th one. And Petya says that Vasya is wrong: the search will need less comparisons if it sequentially iterates the elements starting from the *n*-th and ending with the 1-st one. Sasha argues that the two approaches are equivalent.
To finally begin the task, the teammates decided to settle the debate and compare the two approaches on an example. For this, they took an array that is a permutation of integers from 1 to *n*, and generated *m* queries of the form: find element with value *b**i* in the array. They want to calculate for both approaches how many comparisons in total the linear search will need to respond to all queries. If the first search needs fewer comparisons, then the winner of the dispute is Vasya. If the second one does, then the winner is Petya. If both approaches make the same number of comparisons, then Sasha's got the upper hand.
But the problem is, linear search is too slow. That's why the boys aren't going to find out who is right before the end of the training, unless you come in here. Help them to determine who will win the dispute. | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements in the array. The second line contains *n* distinct space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*) — the elements of array.
The third line contains integer *m* (1<=≤<=*m*<=≤<=105) — the number of queries. The last line contains *m* space-separated integers *b*1,<=*b*2,<=...,<=*b**m* (1<=≤<=*b**i*<=≤<=*n*) — the search queries. Note that the queries can repeat. | Print two integers, showing how many comparisons Vasya's approach needs and how many comparisons Petya's approach needs. Separate the numbers by spaces.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier. | [
"2\n1 2\n1\n1\n",
"2\n2 1\n1\n1\n",
"3\n3 1 2\n3\n1 2 3\n"
] | [
"1 2\n",
"2 1\n",
"6 6\n"
] | In the first sample Vasya's approach will make one comparison (it starts with the 1-st element and immediately finds the required number), and Petya's approach makes two comparisons (first he compares with the 2-nd array element, doesn't find the search item and compares with the 1-st element).
In the second sample, on the contrary, Vasya's approach will need two comparisons (first with 1-st element, and then with the 2-nd), and Petya's approach will find the required value in one comparison (the first comparison with the 2-nd element). | 1,000 | [
{
"input": "2\n1 2\n1\n1",
"output": "1 2"
},
{
"input": "2\n2 1\n1\n1",
"output": "2 1"
},
{
"input": "3\n3 1 2\n3\n1 2 3",
"output": "6 6"
},
{
"input": "9\n2 9 3 1 6 4 7 8 5\n9\n5 1 5 2 8 4 4 4 5",
"output": "58 32"
},
{
"input": "10\n3 10 9 2 7 6 5 8 4 1\n1\n4... | 1,669,013,869 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 34 | 248 | 21,811,200 | # Effective Approach
n = int(input())
a = list(map(int,input().split(" ")))
m = int(input())
b = list(map(int,input().split(" ")))
count_first = 0
count_second = 0
dic = {}
for i in range(n):
dic[a[i]] = i+1
for i in b:
count_first += dic[i]
count_second += n - dic[i] + 1
print(count_first,count_second) | Title: Effective Approach
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Once at a team training Vasya, Petya and Sasha got a problem on implementing linear search in an array.
According to the boys, linear search works as follows. The array elements in a pre-selected order are in turn compared with the number that you need to find. Once you find the array element that is equal to the required one, the search ends. The efficiency of the algorithm is the number of performed comparisons. The fewer comparisons the linear search has made, the more effective it is.
Vasya believes that a linear search would work better if it sequentially iterates through the elements, starting with the 1-st one (in this problem we consider the elements of the array indexed from 1 to *n*) and ending with the *n*-th one. And Petya says that Vasya is wrong: the search will need less comparisons if it sequentially iterates the elements starting from the *n*-th and ending with the 1-st one. Sasha argues that the two approaches are equivalent.
To finally begin the task, the teammates decided to settle the debate and compare the two approaches on an example. For this, they took an array that is a permutation of integers from 1 to *n*, and generated *m* queries of the form: find element with value *b**i* in the array. They want to calculate for both approaches how many comparisons in total the linear search will need to respond to all queries. If the first search needs fewer comparisons, then the winner of the dispute is Vasya. If the second one does, then the winner is Petya. If both approaches make the same number of comparisons, then Sasha's got the upper hand.
But the problem is, linear search is too slow. That's why the boys aren't going to find out who is right before the end of the training, unless you come in here. Help them to determine who will win the dispute.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of elements in the array. The second line contains *n* distinct space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=*n*) — the elements of array.
The third line contains integer *m* (1<=≤<=*m*<=≤<=105) — the number of queries. The last line contains *m* space-separated integers *b*1,<=*b*2,<=...,<=*b**m* (1<=≤<=*b**i*<=≤<=*n*) — the search queries. Note that the queries can repeat.
Output Specification:
Print two integers, showing how many comparisons Vasya's approach needs and how many comparisons Petya's approach needs. Separate the numbers by spaces.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.
Demo Input:
['2\n1 2\n1\n1\n', '2\n2 1\n1\n1\n', '3\n3 1 2\n3\n1 2 3\n']
Demo Output:
['1 2\n', '2 1\n', '6 6\n']
Note:
In the first sample Vasya's approach will make one comparison (it starts with the 1-st element and immediately finds the required number), and Petya's approach makes two comparisons (first he compares with the 2-nd array element, doesn't find the search item and compares with the 1-st element).
In the second sample, on the contrary, Vasya's approach will need two comparisons (first with 1-st element, and then with the 2-nd), and Petya's approach will find the required value in one comparison (the first comparison with the 2-nd element). | ```python
# Effective Approach
n = int(input())
a = list(map(int,input().split(" ")))
m = int(input())
b = list(map(int,input().split(" ")))
count_first = 0
count_second = 0
dic = {}
for i in range(n):
dic[a[i]] = i+1
for i in b:
count_first += dic[i]
count_second += n - dic[i] + 1
print(count_first,count_second)
``` | 3 | |
47 | A | Triangular numbers | PROGRAMMING | 800 | [
"brute force",
"math"
] | A. Triangular numbers | 2 | 256 | A triangular number is the number of dots in an equilateral triangle uniformly filled with dots. For example, three dots can be arranged in a triangle; thus three is a triangular number. The *n*-th triangular number is the number of dots in a triangle with *n* dots on a side. . You can learn more about these numbers from Wikipedia (http://en.wikipedia.org/wiki/Triangular_number).
Your task is to find out if a given integer is a triangular number. | The first line contains the single number *n* (1<=≤<=*n*<=≤<=500) — the given integer. | If the given integer is a triangular number output YES, otherwise output NO. | [
"1\n",
"2\n",
"3\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | 500 | [
{
"input": "1",
"output": "YES"
},
{
"input": "2",
"output": "NO"
},
{
"input": "3",
"output": "YES"
},
{
"input": "4",
"output": "NO"
},
{
"input": "5",
"output": "NO"
},
{
"input": "6",
"output": "YES"
},
{
"input": "7",
"output": "NO... | 1,580,564,603 | 2,147,483,647 | Python 3 | OK | TESTS | 71 | 248 | 307,200 | n=int(input())
n=2*n
for i in range(1000):
if(i*(i+1)==n):
print("YES")
exit()
print("NO") | Title: Triangular numbers
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A triangular number is the number of dots in an equilateral triangle uniformly filled with dots. For example, three dots can be arranged in a triangle; thus three is a triangular number. The *n*-th triangular number is the number of dots in a triangle with *n* dots on a side. . You can learn more about these numbers from Wikipedia (http://en.wikipedia.org/wiki/Triangular_number).
Your task is to find out if a given integer is a triangular number.
Input Specification:
The first line contains the single number *n* (1<=≤<=*n*<=≤<=500) — the given integer.
Output Specification:
If the given integer is a triangular number output YES, otherwise output NO.
Demo Input:
['1\n', '2\n', '3\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n']
Note:
none | ```python
n=int(input())
n=2*n
for i in range(1000):
if(i*(i+1)==n):
print("YES")
exit()
print("NO")
``` | 3.937428 |
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... | 1,594,836,342 | 2,147,483,647 | Python 3 | OK | TESTS | 41 | 124 | 6,656,000 | n=int(input())-1
while n>4:
n=n-5
n=n//2
l = ["Sheldon", "Leonard", "Penny", "Rajesh", "Howard"]
print(l[n])
| 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
n=int(input())-1
while n>4:
n=n-5
n=n//2
l = ["Sheldon", "Leonard", "Penny", "Rajesh", "Howard"]
print(l[n])
``` | 3.925602 |
80 | A | Panoramix's Prediction | PROGRAMMING | 800 | [
"brute force"
] | A. Panoramix's Prediction | 2 | 256 | A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.
The next prime number after *x* is the smallest prime number greater than *x*. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 is not the next prime number for 2.
One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.
Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly *x* Roman soldiers, where *x* is a prime number, and next day they beat exactly *y* Roman soldiers, where *y* is the next prime number after *x*, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.
Yesterday the Gauls beat *n* Roman soldiers and it turned out that the number *n* was prime! Today their victims were a troop of *m* Romans (*m*<=><=*n*). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix? | The first and only input line contains two positive integers — *n* and *m* (2<=≤<=*n*<=<<=*m*<=≤<=50). It is guaranteed that *n* is prime.
Pretests contain all the cases with restrictions 2<=≤<=*n*<=<<=*m*<=≤<=4. | Print YES, if *m* is the next prime number after *n*, or NO otherwise. | [
"3 5\n",
"7 11\n",
"7 9\n"
] | [
"YES",
"YES",
"NO"
] | none | 500 | [
{
"input": "3 5",
"output": "YES"
},
{
"input": "7 11",
"output": "YES"
},
{
"input": "7 9",
"output": "NO"
},
{
"input": "2 3",
"output": "YES"
},
{
"input": "2 4",
"output": "NO"
},
{
"input": "3 4",
"output": "NO"
},
{
"input": "3 5",
... | 1,606,330,250 | 2,147,483,647 | PyPy 3 | OK | TESTS | 45 | 312 | 0 | import math
n,m=map(int,input().split())
arr=[i for i in range(2,m+1)]
p=2
while p<=int(math.sqrt(m)):
if p in arr:
for j in range(p*2,m+1,p):
if j in arr:
arr.remove(j)
p=p+1
if n in arr:
index=arr.index(n)
if index==len(arr)-1:
print('NO')
elif arr[index+1]==m:
print('YES')
else:
print('NO') | Title: Panoramix's Prediction
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.
The next prime number after *x* is the smallest prime number greater than *x*. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 is not the next prime number for 2.
One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.
Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly *x* Roman soldiers, where *x* is a prime number, and next day they beat exactly *y* Roman soldiers, where *y* is the next prime number after *x*, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.
Yesterday the Gauls beat *n* Roman soldiers and it turned out that the number *n* was prime! Today their victims were a troop of *m* Romans (*m*<=><=*n*). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix?
Input Specification:
The first and only input line contains two positive integers — *n* and *m* (2<=≤<=*n*<=<<=*m*<=≤<=50). It is guaranteed that *n* is prime.
Pretests contain all the cases with restrictions 2<=≤<=*n*<=<<=*m*<=≤<=4.
Output Specification:
Print YES, if *m* is the next prime number after *n*, or NO otherwise.
Demo Input:
['3 5\n', '7 11\n', '7 9\n']
Demo Output:
['YES', 'YES', 'NO']
Note:
none | ```python
import math
n,m=map(int,input().split())
arr=[i for i in range(2,m+1)]
p=2
while p<=int(math.sqrt(m)):
if p in arr:
for j in range(p*2,m+1,p):
if j in arr:
arr.remove(j)
p=p+1
if n in arr:
index=arr.index(n)
if index==len(arr)-1:
print('NO')
elif arr[index+1]==m:
print('YES')
else:
print('NO')
``` | 3.922 |
988 | A | Diverse Team | PROGRAMMING | 800 | [
"brute force",
"implementation"
] | null | null | There are $n$ students in a school class, the rating of the $i$-th student on Codehorses is $a_i$. You have to form a team consisting of $k$ students ($1 \le k \le n$) such that the ratings of all team members are distinct.
If it is impossible to form a suitable team, print "NO" (without quotes). Otherwise print "YES", and then print $k$ distinct numbers which should be the indices of students in the team you form. If there are multiple answers, print any of them. | The first line contains two integers $n$ and $k$ ($1 \le k \le n \le 100$) — the number of students and the size of the team you have to form.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 100$), where $a_i$ is the rating of $i$-th student. | If it is impossible to form a suitable team, print "NO" (without quotes). Otherwise print "YES", and then print $k$ distinct integers from $1$ to $n$ which should be the indices of students in the team you form. All the ratings of the students in the team should be distinct. You may print the indices in any order. If there are multiple answers, print any of them.
Assume that the students are numbered from $1$ to $n$. | [
"5 3\n15 13 15 15 12\n",
"5 4\n15 13 15 15 12\n",
"4 4\n20 10 40 30\n"
] | [
"YES\n1 2 5 \n",
"NO\n",
"YES\n1 2 3 4 \n"
] | All possible answers for the first example:
- {1 2 5} - {2 3 5} - {2 4 5}
Note that the order does not matter. | 0 | [
{
"input": "5 3\n15 13 15 15 12",
"output": "YES\n1 2 5 "
},
{
"input": "5 4\n15 13 15 15 12",
"output": "NO"
},
{
"input": "4 4\n20 10 40 30",
"output": "YES\n1 2 3 4 "
},
{
"input": "1 1\n1",
"output": "YES\n1 "
},
{
"input": "100 53\n16 17 1 2 27 5 9 9 53 24 17... | 1,634,575,267 | 2,147,483,647 | PyPy 3 | OK | TESTS | 10 | 77 | 0 | n,k=map(int,input().split())
x=list(map(int,input().split()))
if(k>len(set(x))):
print("NO")
else:
print("YES")
p=set(x)
temp=list(p)
for i in range(0,k):
m=temp[i]
print(x.index(m)+1,end=" ") | Title: Diverse Team
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are $n$ students in a school class, the rating of the $i$-th student on Codehorses is $a_i$. You have to form a team consisting of $k$ students ($1 \le k \le n$) such that the ratings of all team members are distinct.
If it is impossible to form a suitable team, print "NO" (without quotes). Otherwise print "YES", and then print $k$ distinct numbers which should be the indices of students in the team you form. If there are multiple answers, print any of them.
Input Specification:
The first line contains two integers $n$ and $k$ ($1 \le k \le n \le 100$) — the number of students and the size of the team you have to form.
The second line contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 100$), where $a_i$ is the rating of $i$-th student.
Output Specification:
If it is impossible to form a suitable team, print "NO" (without quotes). Otherwise print "YES", and then print $k$ distinct integers from $1$ to $n$ which should be the indices of students in the team you form. All the ratings of the students in the team should be distinct. You may print the indices in any order. If there are multiple answers, print any of them.
Assume that the students are numbered from $1$ to $n$.
Demo Input:
['5 3\n15 13 15 15 12\n', '5 4\n15 13 15 15 12\n', '4 4\n20 10 40 30\n']
Demo Output:
['YES\n1 2 5 \n', 'NO\n', 'YES\n1 2 3 4 \n']
Note:
All possible answers for the first example:
- {1 2 5} - {2 3 5} - {2 4 5}
Note that the order does not matter. | ```python
n,k=map(int,input().split())
x=list(map(int,input().split()))
if(k>len(set(x))):
print("NO")
else:
print("YES")
p=set(x)
temp=list(p)
for i in range(0,k):
m=temp[i]
print(x.index(m)+1,end=" ")
``` | 3 | |
834 | A | The Useless Toy | PROGRAMMING | 900 | [
"implementation"
] | null | null | Walking through the streets of Marshmallow City, Slastyona have spotted some merchants selling a kind of useless toy which is very popular nowadays – caramel spinner! Wanting to join the craze, she has immediately bought the strange contraption.
Spinners in Sweetland have the form of V-shaped pieces of caramel. Each spinner can, well, spin around an invisible magic axis. At a specific point in time, a spinner can take 4 positions shown below (each one rotated 90 degrees relative to the previous, with the fourth one followed by the first one):
After the spinner was spun, it starts its rotation, which is described by a following algorithm: the spinner maintains its position for a second then majestically switches to the next position in clockwise or counter-clockwise order, depending on the direction the spinner was spun in.
Slastyona managed to have spinner rotating for exactly *n* seconds. Being fascinated by elegance of the process, she completely forgot the direction the spinner was spun in! Lucky for her, she managed to recall the starting position, and wants to deduct the direction given the information she knows. Help her do this. | There are two characters in the first string – the starting and the ending position of a spinner. The position is encoded with one of the following characters: v (ASCII code 118, lowercase v), < (ASCII code 60), ^ (ASCII code 94) or > (ASCII code 62) (see the picture above for reference). Characters are separated by a single space.
In the second strings, a single number *n* is given (0<=≤<=*n*<=≤<=109) – the duration of the rotation.
It is guaranteed that the ending position of a spinner is a result of a *n* second spin in any of the directions, assuming the given starting position. | Output cw, if the direction is clockwise, ccw – if counter-clockwise, and undefined otherwise. | [
"^ >\n1\n",
"< ^\n3\n",
"^ v\n6\n"
] | [
"cw\n",
"ccw\n",
"undefined\n"
] | none | 500 | [
{
"input": "^ >\n1",
"output": "cw"
},
{
"input": "< ^\n3",
"output": "ccw"
},
{
"input": "^ v\n6",
"output": "undefined"
},
{
"input": "^ >\n999999999",
"output": "ccw"
},
{
"input": "> v\n1",
"output": "cw"
},
{
"input": "v <\n1",
"output": "cw"
... | 1,618,432,238 | 2,147,483,647 | Python 3 | OK | TESTS | 47 | 77 | 0 | a,b = map(str,input().split())
n = int(input())
toy = 'v<^>'
if n%2==0:
print('undefined')
elif (toy.find(a)+n)%4 == toy.find(b):
print('cw')
else:
print('ccw') | Title: The Useless Toy
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Walking through the streets of Marshmallow City, Slastyona have spotted some merchants selling a kind of useless toy which is very popular nowadays – caramel spinner! Wanting to join the craze, she has immediately bought the strange contraption.
Spinners in Sweetland have the form of V-shaped pieces of caramel. Each spinner can, well, spin around an invisible magic axis. At a specific point in time, a spinner can take 4 positions shown below (each one rotated 90 degrees relative to the previous, with the fourth one followed by the first one):
After the spinner was spun, it starts its rotation, which is described by a following algorithm: the spinner maintains its position for a second then majestically switches to the next position in clockwise or counter-clockwise order, depending on the direction the spinner was spun in.
Slastyona managed to have spinner rotating for exactly *n* seconds. Being fascinated by elegance of the process, she completely forgot the direction the spinner was spun in! Lucky for her, she managed to recall the starting position, and wants to deduct the direction given the information she knows. Help her do this.
Input Specification:
There are two characters in the first string – the starting and the ending position of a spinner. The position is encoded with one of the following characters: v (ASCII code 118, lowercase v), < (ASCII code 60), ^ (ASCII code 94) or > (ASCII code 62) (see the picture above for reference). Characters are separated by a single space.
In the second strings, a single number *n* is given (0<=≤<=*n*<=≤<=109) – the duration of the rotation.
It is guaranteed that the ending position of a spinner is a result of a *n* second spin in any of the directions, assuming the given starting position.
Output Specification:
Output cw, if the direction is clockwise, ccw – if counter-clockwise, and undefined otherwise.
Demo Input:
['^ >\n1\n', '< ^\n3\n', '^ v\n6\n']
Demo Output:
['cw\n', 'ccw\n', 'undefined\n']
Note:
none | ```python
a,b = map(str,input().split())
n = int(input())
toy = 'v<^>'
if n%2==0:
print('undefined')
elif (toy.find(a)+n)%4 == toy.find(b):
print('cw')
else:
print('ccw')
``` | 3 | |
401 | C | Team | PROGRAMMING | 1,400 | [
"constructive algorithms",
"greedy",
"implementation"
] | null | null | Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork.
For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing numbers 1 and 0. The boys are very superstitious. They think that they can do well at the Olympiad if they begin with laying all the cards in a row so that:
- there wouldn't be a pair of any side-adjacent cards with zeroes in a row; - there wouldn't be a group of three consecutive cards containing numbers one.
Today Vanya brought *n* cards with zeroes and *m* cards with numbers one. The number of cards was so much that the friends do not know how to put all those cards in the described way. Help them find the required arrangement of the cards or else tell the guys that it is impossible to arrange cards in such a way. | The first line contains two integers: *n* (1<=≤<=*n*<=≤<=106) — the number of cards containing number 0; *m* (1<=≤<=*m*<=≤<=106) — the number of cards containing number 1. | In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1. | [
"1 2\n",
"4 8\n",
"4 10\n",
"1 5\n"
] | [
"101\n",
"110110110101\n",
"11011011011011\n",
"-1\n"
] | none | 1,500 | [
{
"input": "1 2",
"output": "101"
},
{
"input": "4 8",
"output": "110110110101"
},
{
"input": "4 10",
"output": "11011011011011"
},
{
"input": "1 5",
"output": "-1"
},
{
"input": "3 4",
"output": "1010101"
},
{
"input": "3 10",
"output": "-1"
},
... | 1,685,069,953 | 2,147,483,647 | Python 3 | OK | TESTS | 81 | 46 | 5,120,000 | n, m = map(int, input().split())
if m > 2*n+2 or n > m + 1:
print(-1)
else:
ans = ''
if n > m:
print('01'*m+'0')
else:
k = m - n
k = min(k, n)
print("110"*k + "10"*(n-k) + "1"*(m-k-n))
| Title: Team
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork.
For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing numbers 1 and 0. The boys are very superstitious. They think that they can do well at the Olympiad if they begin with laying all the cards in a row so that:
- there wouldn't be a pair of any side-adjacent cards with zeroes in a row; - there wouldn't be a group of three consecutive cards containing numbers one.
Today Vanya brought *n* cards with zeroes and *m* cards with numbers one. The number of cards was so much that the friends do not know how to put all those cards in the described way. Help them find the required arrangement of the cards or else tell the guys that it is impossible to arrange cards in such a way.
Input Specification:
The first line contains two integers: *n* (1<=≤<=*n*<=≤<=106) — the number of cards containing number 0; *m* (1<=≤<=*m*<=≤<=106) — the number of cards containing number 1.
Output Specification:
In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1.
Demo Input:
['1 2\n', '4 8\n', '4 10\n', '1 5\n']
Demo Output:
['101\n', '110110110101\n', '11011011011011\n', '-1\n']
Note:
none | ```python
n, m = map(int, input().split())
if m > 2*n+2 or n > m + 1:
print(-1)
else:
ans = ''
if n > m:
print('01'*m+'0')
else:
k = m - n
k = min(k, n)
print("110"*k + "10"*(n-k) + "1"*(m-k-n))
``` | 3 |
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