contestId
int64
0
1.01k
name
stringlengths
2
58
tags
listlengths
0
11
title
stringclasses
523 values
time-limit
stringclasses
8 values
memory-limit
stringclasses
8 values
problem-description
stringlengths
0
7.15k
input-specification
stringlengths
0
2.05k
output-specification
stringlengths
0
1.5k
demo-input
listlengths
0
7
demo-output
listlengths
0
7
note
stringlengths
0
5.24k
test_cases
listlengths
0
402
timeConsumedMillis
int64
0
8k
memoryConsumedBytes
int64
0
537M
score
float64
-1
3.99
__index_level_0__
int64
0
621k
189
Cut Ribbon
[ "brute force", "dp" ]
null
null
Polycarpus has a ribbon, its length is *n*. He wants to cut the ribbon in a way that fulfils the following two conditions: - After the cutting each ribbon piece should have length *a*, *b* or *c*. - After the cutting the number of ribbon pieces should be maximum. Help Polycarpus and find the number of ribbon piece...
The first line contains four space-separated integers *n*, *a*, *b* and *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=4000) — the length of the original ribbon and the acceptable lengths of the ribbon pieces after the cutting, correspondingly. The numbers *a*, *b* and *c* can coincide.
Print a single number — the maximum possible number of ribbon pieces. It is guaranteed that at least one correct ribbon cutting exists.
[ "5 5 3 2\n", "7 5 5 2\n" ]
[ "2\n", "2\n" ]
In the first example Polycarpus can cut the ribbon in such way: the first piece has length 2, the second piece has length 3. In the second example Polycarpus can cut the ribbon in such way: the first piece has length 5, the second piece has length 2.
[ { "input": "5 5 3 2", "output": "2" }, { "input": "7 5 5 2", "output": "2" }, { "input": "4 4 4 4", "output": "1" }, { "input": "1 1 1 1", "output": "1" }, { "input": "4000 1 2 3", "output": "4000" }, { "input": "4000 3 4 5", "output": "1333" }, ...
46
102,400
0
5
622
Infinite Sequence
[ "implementation", "math" ]
null
null
Consider the infinite sequence of integers: 1,<=1,<=2,<=1,<=2,<=3,<=1,<=2,<=3,<=4,<=1,<=2,<=3,<=4,<=5.... The sequence is built in the following way: at first the number 1 is written out, then the numbers from 1 to 2, then the numbers from 1 to 3, then the numbers from 1 to 4 and so on. Note that the sequence contains ...
The only line contains integer *n* (1<=≤<=*n*<=≤<=1014) — the position of the number to find. Note that the given number is too large, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type.
Print the element in the *n*-th position of the sequence (the elements are numerated from one).
[ "3\n", "5\n", "10\n", "55\n", "56\n" ]
[ "2\n", "2\n", "4\n", "10\n", "1\n" ]
none
[ { "input": "3", "output": "2" }, { "input": "5", "output": "2" }, { "input": "10", "output": "4" }, { "input": "55", "output": "10" }, { "input": "56", "output": "1" }, { "input": "1000000000000", "output": "88209" }, { "input": "8471941278...
1,000
0
0
6
776
A Serial Killer
[ "brute force", "implementation", "strings" ]
null
null
Our beloved detective, Sherlock is currently trying to catch a serial killer who kills a person each day. Using his powers of deduction, he came to know that the killer has a strategy for selecting his next victim. The killer starts with two potential victims on his first day, selects one of these two, kills selected ...
First line of input contains two names (length of each of them doesn't exceed 10), the two initials potential victims. Next line contains integer *n* (1<=≤<=*n*<=≤<=1000), the number of days. Next *n* lines contains two names (length of each of them doesn't exceed 10), first being the person murdered on this day and t...
Output *n*<=+<=1 lines, the *i*-th line should contain the two persons from which the killer selects for the *i*-th murder. The (*n*<=+<=1)-th line should contain the two persons from which the next victim is selected. In each line, the two names can be printed in any order.
[ "ross rachel\n4\nross joey\nrachel phoebe\nphoebe monica\nmonica chandler\n", "icm codeforces\n1\ncodeforces technex\n" ]
[ "ross rachel\njoey rachel\njoey phoebe\njoey monica\njoey chandler\n", "icm codeforces\nicm technex\n" ]
In first example, the killer starts with ross and rachel. - After day 1, ross is killed and joey appears. - After day 2, rachel is killed and phoebe appears. - After day 3, phoebe is killed and monica appears. - After day 4, monica is killed and chandler appears.
[ { "input": "ross rachel\n4\nross joey\nrachel phoebe\nphoebe monica\nmonica chandler", "output": "ross rachel\njoey rachel\njoey phoebe\njoey monica\njoey chandler" }, { "input": "icm codeforces\n1\ncodeforces technex", "output": "icm codeforces\nicm technex" }, { "input": "a b\n3\na c\n...
124
204,800
3
7
854
Fraction
[ "brute force", "constructive algorithms", "math" ]
null
null
Petya is a big fan of mathematics, especially its part related to fractions. Recently he learned that a fraction is called proper iff its numerator is smaller than its denominator (*a*<=&lt;<=*b*) and that the fraction is called irreducible if its numerator and its denominator are coprime (they do not have positive co...
In the only line of input there is an integer *n* (3<=≤<=*n*<=≤<=1000), the sum of numerator and denominator of the fraction.
Output two space-separated positive integers *a* and *b*, numerator and denominator of the maximum possible proper irreducible fraction satisfying the given sum.
[ "3\n", "4\n", "12\n" ]
[ "1 2\n", "1 3\n", "5 7\n" ]
none
[ { "input": "3", "output": "1 2" }, { "input": "4", "output": "1 3" }, { "input": "12", "output": "5 7" }, { "input": "34", "output": "15 19" }, { "input": "13", "output": "6 7" }, { "input": "11", "output": "5 6" }, { "input": "24", "ou...
61
512,000
3
8
913
Modular Exponentiation
[ "implementation", "math" ]
null
null
The following problem is well-known: given integers *n* and *m*, calculate where 2*n*<==<=2·2·...·2 (*n* factors), and denotes the remainder of division of *x* by *y*. You are asked to solve the "reverse" problem. Given integers *n* and *m*, calculate
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=108). The second line contains a single integer *m* (1<=≤<=*m*<=≤<=108).
Output a single integer — the value of .
[ "4\n42\n", "1\n58\n", "98765432\n23456789\n" ]
[ "10\n", "0\n", "23456789\n" ]
In the first example, the remainder of division of 42 by 2<sup class="upper-index">4</sup> = 16 is equal to 10. In the second example, 58 is divisible by 2<sup class="upper-index">1</sup> = 2 without remainder, and the answer is 0.
[ { "input": "4\n42", "output": "10" }, { "input": "1\n58", "output": "0" }, { "input": "98765432\n23456789", "output": "23456789" }, { "input": "8\n88127381", "output": "149" }, { "input": "32\n92831989", "output": "92831989" }, { "input": "92831989\n25...
1,000
45,977,600
0
9
317
Perfect Pair
[ "brute force" ]
null
null
Let us call a pair of integer numbers *m*-perfect, if at least one number in the pair is greater than or equal to *m*. Thus, the pairs (3, 3) and (0, 2) are 2-perfect while the pair (-1, 1) is not. Two integers *x*, *y* are written on the blackboard. It is allowed to erase one of them and replace it with the sum of th...
Single line of the input contains three integers *x*, *y* and *m* (<=-<=1018<=≤<=*x*, *y*, *m*<=≤<=1018). Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preffered to use the cin, cout streams or the %I64d specifier.
Print the minimum number of operations or "-1" (without quotes), if it is impossible to transform the given pair to the *m*-perfect one.
[ "1 2 5\n", "-1 4 15\n", "0 -1 5\n" ]
[ "2\n", "4\n", "-1\n" ]
In the first sample the following sequence of operations is suitable: (1, 2) <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/70a0795f45d32287dba0eb83fc4a3f470c6e5537.png" style="max-width: 100.0%;max-height: 100.0%;"/> (3, 2) <img align="middle" class="tex-formula" src="https://espresso.cod...
[ { "input": "1 2 5", "output": "2" }, { "input": "-1 4 15", "output": "4" }, { "input": "0 -1 5", "output": "-1" }, { "input": "0 1 8", "output": "5" }, { "input": "-134 -345 -134", "output": "0" }, { "input": "-134 -345 -133", "output": "-1" }, ...
278
0
0
10
32
Borze
[ "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
[ { "input": ".-.--", "output": "012" }, { "input": "--.", "output": "20" }, { "input": "-..-.--", "output": "1012" }, { "input": "---..", "output": "210" }, { "input": "..--.---..", "output": "0020210" }, { "input": "-.....----.", "output": "1000022...
248
0
3.938
11
808
Array Division
[ "binary search", "data structures", "implementation" ]
null
null
Vasya has an array *a* consisting of positive integer numbers. Vasya wants to divide this array into two non-empty consecutive parts (the prefix and the suffix) so that the sum of all elements in the first part equals to the sum of elements in the second part. It is not always possible, so Vasya will move some element ...
The first line contains single integer *n* (1<=≤<=*n*<=≤<=100000) — the size of the array. The second line contains *n* integers *a*1,<=*a*2... *a**n* (1<=≤<=*a**i*<=≤<=109) — the elements of the array.
Print YES if Vasya can divide the array after moving one element. Otherwise print NO.
[ "3\n1 3 2\n", "5\n1 2 3 4 5\n", "5\n2 2 3 4 5\n" ]
[ "YES\n", "NO\n", "YES\n" ]
In the first example Vasya can move the second element to the end of the array. In the second example no move can make the division possible. In the third example Vasya can move the fourth element by one position to the left.
[ { "input": "3\n1 3 2", "output": "YES" }, { "input": "5\n1 2 3 4 5", "output": "NO" }, { "input": "5\n2 2 3 4 5", "output": "YES" }, { "input": "5\n72 32 17 46 82", "output": "NO" }, { "input": "6\n26 10 70 11 69 57", "output": "NO" }, { "input": "7\n4...
108
18,022,400
3
12
750
New Year and Hurry
[ "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 th...
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 scenar...
[ { "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", ...
62
0
3
13
433
Kuriyama Mirai's Stones
[ "dp", "implementation", "sortings" ]
null
null
Kuriyama Mirai has killed many monsters and got many (namely *n*) stones. She numbers the stones from 1 to *n*. The cost of the *i*-th stone is *v**i*. Kuriyama Mirai wants to know something about these stones so she will ask you two kinds of questions: 1. She will tell you two numbers, *l* and *r* (1<=≤<=*l*<=≤<=*r*...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=105). The second line contains *n* integers: *v*1,<=*v*2,<=...,<=*v**n* (1<=≤<=*v**i*<=≤<=109) — costs of the stones. The third line contains an integer *m* (1<=≤<=*m*<=≤<=105) — the number of Kuriyama Mirai's questions. Then follow *m* lines, each line contains t...
Print *m* lines. Each line must contain an integer — the answer to Kuriyama Mirai's question. Print the answers to the questions in the order of input.
[ "6\n6 4 2 7 2 7\n3\n2 3 6\n1 3 4\n1 1 6\n", "4\n5 5 2 3\n10\n1 2 4\n2 1 4\n1 1 1\n2 1 4\n2 1 2\n1 1 1\n1 3 3\n1 1 3\n1 4 4\n1 2 2\n" ]
[ "24\n9\n28\n", "10\n15\n5\n15\n5\n5\n2\n12\n3\n5\n" ]
Please note that the answers to the questions may overflow 32-bit integer type.
[ { "input": "6\n6 4 2 7 2 7\n3\n2 3 6\n1 3 4\n1 1 6", "output": "24\n9\n28" }, { "input": "4\n5 5 2 3\n10\n1 2 4\n2 1 4\n1 1 1\n2 1 4\n2 1 2\n1 1 1\n1 3 3\n1 1 3\n1 4 4\n1 2 2", "output": "10\n15\n5\n15\n5\n5\n2\n12\n3\n5" }, { "input": "4\n2 2 3 6\n9\n2 2 3\n1 1 3\n2 2 3\n2 2 3\n2 2 2\n1...
46
0
0
14
982
Billiard
[ "geometry", "number theory" ]
null
null
Consider a [billiard table](https://en.wikipedia.org/wiki/Billiard_table) of rectangular size $n \times m$ with four pockets. Let's introduce a coordinate system with the origin at the lower left corner (see the picture). There is one ball at the point $(x, y)$ currently. Max comes to the table and strikes the ball. ...
The only line contains $6$ integers $n$, $m$, $x$, $y$, $v_x$, $v_y$ ($1 \leq n, m \leq 10^9$, $0 \leq x \leq n$; $0 \leq y \leq m$; $-1 \leq v_x, v_y \leq 1$; $(v_x, v_y) \neq (0, 0)$) — the width of the table, the length of the table, the $x$-coordinate of the initial position of the ball, the $y$-coordinate of the i...
Print the coordinates of the pocket the ball will fall into, or $-1$ if the ball will move indefinitely.
[ "4 3 2 2 -1 1\n", "4 4 2 0 1 1\n", "10 10 10 1 -1 0\n" ]
[ "0 0", "-1", "-1" ]
The first sample: The second sample: In the third sample the ball will never change its $y$ coordinate, so the ball will never fall into a pocket.
[ { "input": "4 3 2 2 -1 1", "output": "0 0" }, { "input": "4 4 2 0 1 1", "output": "-1" }, { "input": "10 10 10 1 -1 0", "output": "-1" }, { "input": "1000000000 1000000000 1 1000000000 0 1", "output": "-1" }, { "input": "2 1 1 0 -1 -1", "output": "0 1" }, ...
46
0
-1
15
733
Kostya the Sculptor
[ "data structures", "hashing" ]
null
null
Kostya is a genial sculptor, he has an idea: to carve a marble sculpture in the shape of a sphere. Kostya has a friend Zahar who works at a career. Zahar knows about Kostya's idea and wants to present him a rectangular parallelepiped of marble from which he can carve the sphere. Zahar has *n* stones which are rectang...
The first line contains the integer *n* (1<=≤<=*n*<=≤<=105). *n* lines follow, in the *i*-th of which there are three integers *a**i*,<=*b**i* and *c**i* (1<=≤<=*a**i*,<=*b**i*,<=*c**i*<=≤<=109) — the lengths of edges of the *i*-th stone. Note, that two stones may have exactly the same sizes, but they still will be co...
In the first line print *k* (1<=≤<=*k*<=≤<=2) the number of stones which Zahar has chosen. In the second line print *k* distinct integers from 1 to *n* — the numbers of stones which Zahar needs to choose. Consider that stones are numbered from 1 to *n* in the order as they are given in the input data. You can print th...
[ "6\n5 5 5\n3 2 4\n1 4 1\n2 1 3\n3 2 4\n3 3 4\n", "7\n10 7 8\n5 10 3\n4 2 6\n5 5 5\n10 2 8\n4 2 1\n7 7 7\n" ]
[ "1\n1\n", "2\n1 5\n" ]
In the first example we can connect the pairs of stones: - 2 and 4, the size of the parallelepiped: 3 × 2 × 5, the radius of the inscribed sphere 1 - 2 and 5, the size of the parallelepiped: 3 × 2 × 8 or 6 × 2 × 4 or 3 × 4 × 4, the radius of the inscribed sphere 1, or 1, or 1.5 respectively. - 2 and 6, the size of ...
[ { "input": "6\n5 5 5\n3 2 4\n1 4 1\n2 1 3\n3 2 4\n3 3 4", "output": "1\n1" }, { "input": "7\n10 7 8\n5 10 3\n4 2 6\n5 5 5\n10 2 8\n4 2 1\n7 7 7", "output": "2\n1 5" }, { "input": "1\n1 1 1", "output": "1\n1" }, { "input": "2\n2 3 1\n2 2 3", "output": "2\n2 1" }, { ...
93
0
-1
16
253
Boys and Girls
[ "greedy" ]
null
null
There are *n* boys and *m* girls studying in the class. They should stand in a line so that boys and girls alternated there as much as possible. Let's assume that positions in the line are indexed from left to right by numbers from 1 to *n*<=+<=*m*. Then the number of integers *i* (1<=≤<=*i*<=&lt;<=*n*<=+<=*m*) such th...
The single line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100), separated by a space.
Print a line of *n*<=+<=*m* characters. Print on the *i*-th position of the line character "B", if the *i*-th position of your arrangement should have a boy and "G", if it should have a girl. Of course, the number of characters "B" should equal *n* and the number of characters "G" should equal *m*. If there are multi...
[ "3 3\n", "4 2\n" ]
[ "GBGBGB\n", "BGBGBB\n" ]
In the first sample another possible answer is BGBGBG. In the second sample answer BBGBGB is also optimal.
[ { "input": "3 3", "output": "GBGBGB" }, { "input": "4 2", "output": "BGBGBB" }, { "input": "5 5", "output": "GBGBGBGBGB" }, { "input": "6 4", "output": "BGBGBGBGBB" }, { "input": "100 1", "output": "BGBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...
248
2,252,800
-1
17
432
Choosing Teams
[ "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. Th...
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.
[ { "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...
15
0
0
18
9
Die Roll
[ "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 unpr...
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.
[ { "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", ...
124
0
3.938
19
50
Domino piling
[ "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 ...
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
[ { "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...
92
0
3.977
20
439
Devu, the Singer and Churu, the Joker
[ "greedy", "implementation" ]
null
null
Devu is a renowned classical singer. He is invited to many big functions/festivals. Recently he was invited to "All World Classical Singing Festival". Other than Devu, comedian Churu was also invited. Devu has provided organizers a list of the songs and required time for singing them. He will sing *n* songs, *i**th* s...
The first line contains two space separated integers *n*, *d* (1<=≤<=*n*<=≤<=100; 1<=≤<=*d*<=≤<=10000). The second line contains *n* space-separated integers: *t*1,<=*t*2,<=...,<=*t**n* (1<=≤<=*t**i*<=≤<=100).
If there is no way to conduct all the songs of Devu, output -1. Otherwise output the maximum number of jokes that Churu can crack in the grand event.
[ "3 30\n2 2 1\n", "3 20\n2 1 1\n" ]
[ "5\n", "-1\n" ]
Consider the first example. The duration of the event is 30 minutes. There could be maximum 5 jokes in the following way: - First Churu cracks a joke in 5 minutes. - Then Devu performs the first song for 2 minutes. - Then Churu cracks 2 jokes in 10 minutes. - Now Devu performs second song for 2 minutes. - Then Ch...
[ { "input": "3 30\n2 2 1", "output": "5" }, { "input": "3 20\n2 1 1", "output": "-1" }, { "input": "50 10000\n5 4 10 9 9 6 7 7 7 3 3 7 7 4 7 4 10 10 1 7 10 3 1 4 5 7 2 10 10 10 2 3 4 7 6 1 8 4 7 3 8 8 4 10 1 1 9 2 6 1", "output": "1943" }, { "input": "50 10000\n4 7 15 9 11 12 ...
62
6,758,400
3
21
902
Visiting a Friend
[ "greedy", "implementation" ]
null
null
Pig is visiting a friend. Pig's house is located at point 0, and his friend's house is located at point *m* on an axis. Pig can use teleports to move along the axis. To use a teleport, Pig should come to a certain point (where the teleport is located) and choose where to move: for each teleport there is the rightmos...
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100,<=1<=≤<=*m*<=≤<=100) — the number of teleports and the location of the friend's house. The next *n* lines contain information about teleports. The *i*-th of these lines contains two integers *a**i* and *b**i* (0<=≤<=*a**i*<=≤<=*b**i*<=≤<=*m*), where ...
Print "YES" if there is a path from Pig's house to his friend's house that uses only teleports, and "NO" otherwise. You can print each letter in arbitrary case (upper or lower).
[ "3 5\n0 2\n2 4\n3 5\n", "3 7\n0 4\n2 5\n6 7\n" ]
[ "YES\n", "NO\n" ]
The first example is shown on the picture below: Pig can use the first teleport from his house (point 0) to reach point 2, then using the second teleport go from point 2 to point 3, then using the third teleport go from point 3 to point 5, where his friend lives. The second example is shown on the picture below: You...
[ { "input": "3 5\n0 2\n2 4\n3 5", "output": "YES" }, { "input": "3 7\n0 4\n2 5\n6 7", "output": "NO" }, { "input": "1 1\n0 0", "output": "NO" }, { "input": "30 10\n0 7\n1 2\n1 2\n1 4\n1 4\n1 3\n2 2\n2 4\n2 6\n2 9\n2 2\n3 5\n3 8\n4 8\n4 5\n4 6\n5 6\n5 7\n6 6\n6 9\n6 7\n6 9\n7 7...
109
20,172,800
3
22
424
Megacity
[ "binary search", "greedy", "implementation", "sortings" ]
null
null
The administration of the Tomsk Region firmly believes that it's time to become a megacity (that is, get population of one million). Instead of improving the demographic situation, they decided to achieve its goal by expanding the boundaries of the city. The city of Tomsk can be represented as point on the plane with ...
The first line of the input contains two integers *n* and *s* (1<=≤<=*n*<=≤<=103; 1<=≤<=*s*<=&lt;<=106) — the number of locatons around Tomsk city and the population of the city. Then *n* lines follow. The *i*-th line contains three integers — the *x**i* and *y**i* coordinate values of the *i*-th location and the numbe...
In the output, print "-1" (without the quotes), if Tomsk won't be able to become a megacity. Otherwise, in the first line print a single real number — the minimum radius of the circle that the city needs to expand to in order to become a megacity. The answer is considered correct if the absolute or relative error don'...
[ "4 999998\n1 1 1\n2 2 1\n3 3 1\n2 -2 1\n", "4 999998\n1 1 2\n2 2 1\n3 3 1\n2 -2 1\n", "2 1\n1 1 999997\n2 2 1\n" ]
[ "2.8284271\n", "1.4142136\n", "-1" ]
none
[ { "input": "4 999998\n1 1 1\n2 2 1\n3 3 1\n2 -2 1", "output": "2.8284271" }, { "input": "4 999998\n1 1 2\n2 2 1\n3 3 1\n2 -2 1", "output": "1.4142136" }, { "input": "2 1\n1 1 999997\n2 2 1", "output": "-1" }, { "input": "4 999998\n3 3 10\n-3 3 10\n3 -3 10\n-3 -3 10", "out...
62
0
0
23
272
Dima and Friends
[ "implementation", "math" ]
null
null
Dima and his friends have been playing hide and seek at Dima's place all night. As a result, Dima's place got messy. In the morning they decided that they need to clean the place. To decide who exactly would clean the apartment, the friends want to play a counting-out game. First, all the guys stand in a circle, and t...
The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of Dima's friends. Dima himself isn't considered to be his own friend. The second line contains *n* positive integers, not exceeding 5, representing, how many fingers the Dima's friends will show. The numbers in the lines are separated by a single s...
In a single line print the answer to the problem.
[ "1\n1\n", "1\n2\n", "2\n3 5\n" ]
[ "3\n", "2\n", "3\n" ]
In the first sample Dima can show 1, 3 or 5 fingers. If Dima shows 3 fingers, then the counting-out will go like that: Dima, his friend, Dima, his friend. In the second sample Dima can show 2 or 4 fingers.
[ { "input": "1\n1", "output": "3" }, { "input": "1\n2", "output": "2" }, { "input": "2\n3 5", "output": "3" }, { "input": "2\n3 5", "output": "3" }, { "input": "1\n5", "output": "3" }, { "input": "5\n4 4 3 5 1", "output": "4" }, { "input": "...
280
0
3
24
219
Color Stripe
[ "brute force", "dp", "greedy" ]
null
null
A colored stripe is represented by a horizontal row of *n* square cells, each cell is pained one of *k* colors. Your task is to repaint the minimum number of cells so that no two neighbouring cells are of the same color. You can use any color from 1 to *k* to repaint the cells.
The first input line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=5·105; 2<=≤<=*k*<=≤<=26). The second line contains *n* uppercase English letters. Letter "A" stands for the first color, letter "B" stands for the second color and so on. The first *k* English letters may be used. Each letter represents the color of ...
Print a single integer — the required minimum number of repaintings. In the second line print any possible variant of the repainted stripe.
[ "6 3\nABBACC\n", "3 2\nBBB\n" ]
[ "2\nABCACA\n", "1\nBAB\n" ]
none
[ { "input": "6 3\nABBACC", "output": "2\nABCACA" }, { "input": "3 2\nBBB", "output": "1\nBAB" }, { "input": "1 2\nA", "output": "0\nA" }, { "input": "1 26\nZ", "output": "0\nZ" }, { "input": "2 2\nAA", "output": "1\nAB" }, { "input": "2 2\nBA", "out...
810
12,697,600
3
25
59
Word
[ "implementation", "strings" ]
A. Word
2
256
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At th...
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
[ "HoUse\n", "ViP\n", "maTRIx\n" ]
[ "house\n", "VIP\n", "matrix\n" ]
none
[ { "input": "HoUse", "output": "house" }, { "input": "ViP", "output": "VIP" }, { "input": "maTRIx", "output": "matrix" }, { "input": "BNHWpnpawg", "output": "bnhwpnpawg" }, { "input": "VTYGP", "output": "VTYGP" }, { "input": "CHNenu", "output": "chn...
216
6,656,000
3.933602
26
462
Appleman and Easy Task
[ "brute force", "implementation" ]
null
null
Toastman came up with a very easy task. He gives it to Appleman, but Appleman doesn't know how to solve it. Can you help him? Given a *n*<=×<=*n* checkerboard. Each cell of the board has either character 'x', or character 'o'. Is it true that each cell of the board has even number of adjacent cells with 'o'? Two cells...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100). Then *n* lines follow containing the description of the checkerboard. Each of them contains *n* characters (either 'x' or 'o') without spaces.
Print "YES" or "NO" (without the quotes) depending on the answer to the problem.
[ "3\nxxo\nxox\noxx\n", "4\nxxxo\nxoxo\noxox\nxxxx\n" ]
[ "YES\n", "NO\n" ]
none
[ { "input": "3\nxxo\nxox\noxx", "output": "YES" }, { "input": "4\nxxxo\nxoxo\noxox\nxxxx", "output": "NO" }, { "input": "1\no", "output": "YES" }, { "input": "2\nox\nxo", "output": "YES" }, { "input": "2\nxx\nxo", "output": "NO" }, { "input": "3\nooo\no...
109
6,963,200
0
27
337
Puzzles
[ "greedy" ]
null
null
The end of the school year is near and Ms. Manana, the teacher, will soon have to say goodbye to a yet another class. She decided to prepare a goodbye present for her *n* students and give each of them a jigsaw puzzle (which, as wikipedia states, is a tiling puzzle that requires the assembly of numerous small, often od...
The first line contains space-separated integers *n* and *m* (2<=≤<=*n*<=≤<=*m*<=≤<=50). The second line contains *m* space-separated integers *f*1,<=*f*2,<=...,<=*f**m* (4<=≤<=*f**i*<=≤<=1000) — the quantities of pieces in the puzzles sold in the shop.
Print a single integer — the least possible difference the teacher can obtain.
[ "4 6\n10 12 10 7 5 22\n" ]
[ "5\n" ]
Sample 1. The class has 4 students. The shop sells 6 puzzles. If Ms. Manana buys the first four puzzles consisting of 10, 12, 10 and 7 pieces correspondingly, then the difference between the sizes of the largest and the smallest puzzle will be equal to 5. It is impossible to obtain a smaller difference. Note that the t...
[ { "input": "4 6\n10 12 10 7 5 22", "output": "5" }, { "input": "2 2\n4 4", "output": "0" }, { "input": "2 10\n4 5 6 7 8 9 10 11 12 12", "output": "0" }, { "input": "4 5\n818 136 713 59 946", "output": "759" }, { "input": "3 20\n446 852 783 313 549 965 40 88 86 617...
62
0
0
28
660
Number of Parallelograms
[ "geometry" ]
null
null
You are given *n* points on a plane. All the points are distinct and no three of them lie on the same line. Find the number of parallelograms with the vertices at the given points.
The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=2000) — the number of points. Each of the next *n* lines contains two integers (*x**i*,<=*y**i*) (0<=≤<=*x**i*,<=*y**i*<=≤<=109) — the coordinates of the *i*-th point.
Print the only integer *c* — the number of parallelograms with the vertices at the given points.
[ "4\n0 1\n1 0\n1 1\n2 0\n" ]
[ "1\n" ]
none
[ { "input": "4\n0 1\n1 0\n1 1\n2 0", "output": "1" }, { "input": "1\n0 0", "output": "0" }, { "input": "1\n6 6", "output": "0" }, { "input": "5\n1 5\n4 2\n4 4\n8 1\n8 2", "output": "0" }, { "input": "10\n1 7\n2 14\n3 7\n3 13\n5 13\n13 10\n15 12\n17 1\n18 8\n19 0", ...
4,000
0
0
29
813
The Tag Game
[ "dfs and similar", "graphs" ]
null
null
Alice got tired of playing the tag game by the usual rules so she offered Bob a little modification to it. Now the game should be played on an undirected rooted tree of *n* vertices. Vertex 1 is the root of the tree. Alice starts at vertex 1 and Bob starts at vertex *x* (*x*<=≠<=1). The moves are made in turns, Bob go...
The first line contains two integer numbers *n* and *x* (2<=≤<=*n*<=≤<=2·105, 2<=≤<=*x*<=≤<=*n*). Each of the next *n*<=-<=1 lines contains two integer numbers *a* and *b* (1<=≤<=*a*,<=*b*<=≤<=*n*) — edges of the tree. It is guaranteed that the edges form a valid tree.
Print the total number of moves Alice and Bob will make.
[ "4 3\n1 2\n2 3\n2 4\n", "5 2\n1 2\n2 3\n3 4\n2 5\n" ]
[ "4\n", "6\n" ]
In the first example the tree looks like this: The red vertex is Alice's starting position, the blue one is Bob's. Bob will make the game run the longest by standing at the vertex 3 during all the game. So here are the moves: B: stay at vertex 3 A: go to vertex 2 B: stay at vertex 3 A: go to vertex 3 In the secon...
[ { "input": "4 3\n1 2\n2 3\n2 4", "output": "4" }, { "input": "5 2\n1 2\n2 3\n3 4\n2 5", "output": "6" }, { "input": "2 2\n2 1", "output": "2" }, { "input": "3 3\n2 1\n3 1", "output": "2" }, { "input": "3 3\n1 2\n3 2", "output": "4" }, { "input": "10 4\...
1,000
30,515,200
0
30
888
Maximum Subsequence
[ "bitmasks", "divide and conquer", "meet-in-the-middle" ]
null
null
You are given an array *a* consisting of *n* integers, and additionally an integer *m*. You have to choose some sequence of indices *b*1,<=*b*2,<=...,<=*b**k* (1<=≤<=*b*1<=&lt;<=*b*2<=&lt;<=...<=&lt;<=*b**k*<=≤<=*n*) in such a way that the value of is maximized. Chosen sequence can be empty. Print the maximum possibl...
The first line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=35, 1<=≤<=*m*<=≤<=109). The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109).
Print the maximum possible value of .
[ "4 4\n5 2 4 1\n", "3 20\n199 41 299\n" ]
[ "3\n", "19\n" ]
In the first example you can choose a sequence *b* = {1, 2}, so the sum <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c856546022c2feee13d02a4ec9cd1d361ab3a756.png" style="max-width: 100.0%;max-height: 100.0%;"/> is equal to 7 (and that's 3 after taking it modulo 4). In the second example...
[ { "input": "4 4\n5 2 4 1", "output": "3" }, { "input": "3 20\n199 41 299", "output": "19" }, { "input": "5 10\n47 100 49 2 56", "output": "9" }, { "input": "5 1000\n38361 75847 14913 11499 8297", "output": "917" }, { "input": "10 10\n48 33 96 77 67 59 35 15 14 86"...
31
0
0
32
476
Dreamoon and WiFi
[ "bitmasks", "brute force", "combinatorics", "dp", "math", "probabilities" ]
null
null
Dreamoon is standing at the position 0 on a number line. Drazil is sending a list of commands through Wi-Fi to Dreamoon's smartphone and Dreamoon follows them. Each command is one of the following two types: 1. Go 1 unit towards the positive direction, denoted as '+' 1. Go 1 unit towards the negative direction, de...
The first line contains a string *s*1 — the commands Drazil sends to Dreamoon, this string consists of only the characters in the set {'+', '-'}. The second line contains a string *s*2 — the commands Dreamoon's smartphone recognizes, this string consists of only the characters in the set {'+', '-', '?'}. '?' denotes ...
Output a single real number corresponding to the probability. The answer will be considered correct if its relative or absolute error doesn't exceed 10<=-<=9.
[ "++-+-\n+-+-+\n", "+-+-\n+-??\n", "+++\n??-\n" ]
[ "1.000000000000\n", "0.500000000000\n", "0.000000000000\n" ]
For the first sample, both *s*<sub class="lower-index">1</sub> and *s*<sub class="lower-index">2</sub> will lead Dreamoon to finish at the same position  + 1. For the second sample, *s*<sub class="lower-index">1</sub> will lead Dreamoon to finish at position 0, while there are four possibilites for *s*<sub class="low...
[ { "input": "++-+-\n+-+-+", "output": "1.000000000000" }, { "input": "+-+-\n+-??", "output": "0.500000000000" }, { "input": "+++\n??-", "output": "0.000000000000" }, { "input": "++++++++++\n+++??++?++", "output": "0.125000000000" }, { "input": "--+++---+-\n????????...
46
0
0
33
520
Pangram
[ "implementation", "strings" ]
null
null
A word or a sentence in some language is called a pangram if all the characters of the alphabet of this language appear in it at least once. Pangrams are often used to demonstrate fonts in printing or test the output devices. You are given a string consisting of lowercase and uppercase Latin letters. Check whether thi...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of characters in the string. The second line contains the string. The string consists only of uppercase and lowercase Latin letters.
Output "YES", if the string is a pangram and "NO" otherwise.
[ "12\ntoosmallword\n", "35\nTheQuickBrownFoxJumpsOverTheLazyDog\n" ]
[ "NO\n", "YES\n" ]
none
[ { "input": "12\ntoosmallword", "output": "NO" }, { "input": "35\nTheQuickBrownFoxJumpsOverTheLazyDog", "output": "YES" }, { "input": "1\na", "output": "NO" }, { "input": "26\nqwertyuiopasdfghjklzxcvbnm", "output": "YES" }, { "input": "26\nABCDEFGHIJKLMNOPQRSTUVWXY...
46
0
3
34
151
Soft Drinking
[ "implementation", "math" ]
null
null
This winter is so cold in Nvodsk! A group of *n* friends decided to buy *k* bottles of a soft drink called "Take-It-Light" to warm up a bit. Each bottle has *l* milliliters of the drink. Also they bought *c* limes and cut each of them into *d* slices. After that they found *p* grams of salt. To make a toast, each frie...
The first and only line contains positive integers *n*, *k*, *l*, *c*, *d*, *p*, *nl*, *np*, not exceeding 1000 and no less than 1. The numbers are separated by exactly one space.
Print a single integer — the number of toasts each friend can make.
[ "3 4 5 10 8 100 3 1\n", "5 100 10 1 19 90 4 3\n", "10 1000 1000 25 23 1 50 1\n" ]
[ "2\n", "3\n", "0\n" ]
A comment to the first sample: Overall the friends have 4 * 5 = 20 milliliters of the drink, it is enough to make 20 / 3 = 6 toasts. The limes are enough for 10 * 8 = 80 toasts and the salt is enough for 100 / 1 = 100 toasts. However, there are 3 friends in the group, so the answer is *min*(6, 80, 100) / 3 = 2.
[ { "input": "3 4 5 10 8 100 3 1", "output": "2" }, { "input": "5 100 10 1 19 90 4 3", "output": "3" }, { "input": "10 1000 1000 25 23 1 50 1", "output": "0" }, { "input": "1 7 4 5 5 8 3 2", "output": "4" }, { "input": "2 3 3 5 5 10 1 3", "output": "1" }, { ...
124
0
3
35
870
Search for Pretty Integers
[ "brute force", "implementation" ]
null
null
You are given two lists of non-zero digits. Let's call an integer pretty if its (base 10) representation has at least one digit from the first list and at least one digit from the second list. What is the smallest positive pretty integer?
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=9) — the lengths of the first and the second lists, respectively. The second line contains *n* distinct digits *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=9) — the elements of the first list. The third line contains *m* distinct digits *b*1,<=*b*2...
Print the smallest pretty integer.
[ "2 3\n4 2\n5 7 6\n", "8 8\n1 2 3 4 5 6 7 8\n8 7 6 5 4 3 2 1\n" ]
[ "25\n", "1\n" ]
In the first example 25, 46, 24567 are pretty, as well as many other integers. The smallest among them is 25. 42 and 24 are not pretty because they don't have digits from the second list. In the second example all integers that have at least one digit different from 9 are pretty. It's obvious that the smallest among t...
[ { "input": "2 3\n4 2\n5 7 6", "output": "25" }, { "input": "8 8\n1 2 3 4 5 6 7 8\n8 7 6 5 4 3 2 1", "output": "1" }, { "input": "1 1\n9\n1", "output": "19" }, { "input": "9 1\n5 4 2 3 6 1 7 9 8\n9", "output": "9" }, { "input": "5 3\n7 2 5 8 6\n3 1 9", "output"...
124
307,200
3
36
799
Carrot Cakes
[ "brute force", "implementation" ]
null
null
In some game by Playrix it takes *t* minutes for an oven to bake *k* carrot cakes, all cakes are ready at the same moment *t* minutes after they started baking. Arkady needs at least *n* cakes to complete a task, but he currently don't have any. However, he has infinitely many ingredients and one oven. Moreover, Arkady...
The only line contains four integers *n*, *t*, *k*, *d* (1<=≤<=*n*,<=*t*,<=*k*,<=*d*<=≤<=1<=000) — the number of cakes needed, the time needed for one oven to bake *k* cakes, the number of cakes baked at the same time, the time needed to build the second oven.
If it is reasonable to build the second oven, print "YES". Otherwise print "NO".
[ "8 6 4 5\n", "8 6 4 6\n", "10 3 11 4\n", "4 2 1 4\n" ]
[ "YES\n", "NO\n", "NO\n", "YES\n" ]
In the first example it is possible to get 8 cakes in 12 minutes using one oven. The second oven can be built in 5 minutes, so after 6 minutes the first oven bakes 4 cakes, the second oven bakes 4 more ovens after 11 minutes. Thus, it is reasonable to build the second oven. In the second example it doesn't matter whe...
[ { "input": "8 6 4 5", "output": "YES" }, { "input": "8 6 4 6", "output": "NO" }, { "input": "10 3 11 4", "output": "NO" }, { "input": "4 2 1 4", "output": "YES" }, { "input": "28 17 16 26", "output": "NO" }, { "input": "60 69 9 438", "output": "NO"...
93
0
0
37
6
Alice, Bob and Chocolate
[ "greedy", "two pointers" ]
C. Alice, Bob and Chocolate
2
64
Alice and Bob like games. And now they are ready to start a new game. They have placed *n* chocolate bars in a line. Alice starts to eat chocolate bars one by one from left to right, and Bob — from right to left. For each chocololate bar the time, needed for the player to consume it, is known (Alice and Bob eat them wi...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=105) — the amount of bars on the table. The second line contains a sequence *t*1,<=*t*2,<=...,<=*t**n* (1<=≤<=*t**i*<=≤<=1000), where *t**i* is the time (in seconds) needed to consume the *i*-th bar (in the order from left to right).
Print two numbers *a* and *b*, where *a* is the amount of bars consumed by Alice, and *b* is the amount of bars consumed by Bob.
[ "5\n2 9 8 2 7\n" ]
[ "2 3\n" ]
none
[ { "input": "5\n2 9 8 2 7", "output": "2 3" }, { "input": "1\n1", "output": "1 0" }, { "input": "2\n1 1", "output": "1 1" }, { "input": "3\n1 1 1", "output": "2 1" }, { "input": "4\n1 1 1 1", "output": "2 2" }, { "input": "1\n6", "output": "1 0" }...
466
6,963,200
3.83162
38
330
Cakeminator
[ "brute force", "implementation" ]
null
null
You are given a rectangular cake, represented as an *r*<=×<=*c* grid. Each cell either has an evil strawberry, or is empty. For example, a 3<=×<=4 cake may look as follows: The cakeminator is going to eat the cake! Each time he eats, he chooses a row or a column that does not contain any evil strawberries and contains...
The first line contains two integers *r* and *c* (2<=≤<=*r*,<=*c*<=≤<=10), denoting the number of rows and the number of columns of the cake. The next *r* lines each contains *c* characters — the *j*-th character of the *i*-th line denotes the content of the cell at row *i* and column *j*, and is either one of these: ...
Output the maximum number of cake cells that the cakeminator can eat.
[ "3 4\nS...\n....\n..S.\n" ]
[ "8\n" ]
For the first example, one possible way to eat the maximum number of cake cells is as follows (perform 3 eats).
[ { "input": "3 4\nS...\n....\n..S.", "output": "8" }, { "input": "2 2\n..\n..", "output": "4" }, { "input": "2 2\nSS\nSS", "output": "0" }, { "input": "7 3\nS..\nS..\nS..\nS..\nS..\nS..\nS..", "output": "14" }, { "input": "3 5\n..S..\nSSSSS\n..S..", "output": "...
30
0
0
39
1
Theatre Square
[ "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...
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
[ { "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"...
31
0
3.9845
40
17
Notepad
[ "number theory" ]
D. Notepad
2
64
Nick is attracted by everything unconventional. He doesn't like decimal number system any more, and he decided to study other number systems. A number system with base *b* caught his attention. Before he starts studying it, he wants to write in his notepad all the numbers of length *n* without leading zeros in this num...
The only input line contains three space-separated integers *b*, *n* and *c* (2<=≤<=*b*<=&lt;<=10106, 1<=≤<=*n*<=&lt;<=10106, 1<=≤<=*c*<=≤<=109). You may consider that Nick has infinite patience, endless amount of paper and representations of digits as characters. The numbers doesn't contain leading zeros.
In the only line output the amount of numbers written on the same page as the last number.
[ "2 3 3\n", "2 3 4\n" ]
[ "1", "4" ]
In both samples there are exactly 4 numbers of length 3 in binary number system. In the first sample Nick writes 3 numbers on the first page and 1 on the second page. In the second sample all the 4 numbers can be written on the first page.
[ { "input": "2 3 3", "output": "1" }, { "input": "2 3 4", "output": "4" }, { "input": "9 1 79", "output": "8" }, { "input": "9 1 345", "output": "8" }, { "input": "9 9 999982045", "output": "344373768" }, { "input": "4 42 44", "output": "12" }, ...
218
2,150,400
-1
41
922
Birds
[ "dp" ]
null
null
Apart from plush toys, Imp is a huge fan of little yellow birds! To summon birds, Imp needs strong magic. There are *n* trees in a row on an alley in a park, there is a nest on each of the trees. In the *i*-th nest there are *c**i* birds; to summon one bird from this nest Imp needs to stay under this tree and it costs...
The first line contains four integers *n*, *W*, *B*, *X* (1<=≤<=*n*<=≤<=103,<=0<=≤<=*W*,<=*B*,<=*X*<=≤<=109) — the number of trees, the initial points of mana, the number of points the mana capacity increases after a bird is summoned, and the number of points restored when Imp moves from a tree to the next one. The se...
Print a single integer — the maximum number of birds Imp can summon.
[ "2 12 0 4\n3 4\n4 2\n", "4 1000 10 35\n1 2 4 5\n1000 500 250 200\n", "2 10 7 11\n2 10\n6 1\n" ]
[ "6\n", "5\n", "11\n" ]
In the first sample base amount of Imp's mana is equal to 12 (with maximum capacity also equal to 12). After he summons two birds from the first nest, he loses 8 mana points, although his maximum capacity will not increase (since *B* = 0). After this step his mana will be 4 of 12; during the move you will replenish 4 m...
[ { "input": "2 12 0 4\n3 4\n4 2", "output": "6" }, { "input": "4 1000 10 35\n1 2 4 5\n1000 500 250 200", "output": "5" }, { "input": "2 10 7 11\n2 10\n6 1", "output": "11" }, { "input": "5 1 4 6\n3 4 6 5 1\n3 0 10 2 9", "output": "10" }, { "input": "75 262 870 596\...
31
0
0
42
489
BerSU Ball
[ "dfs and similar", "dp", "graph matchings", "greedy", "sortings", "two pointers" ]
null
null
The Berland State University is hosting a ballroom dance in celebration of its 100500-th anniversary! *n* boys and *m* girls are already busy rehearsing waltz, minuet, polonaise and quadrille moves. We know that several boy&amp;girl pairs are going to be invited to the ball. However, the partners' dancing skill in eac...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of boys. The second line contains sequence *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100), where *a**i* is the *i*-th boy's dancing skill. Similarly, the third line contains an integer *m* (1<=≤<=*m*<=≤<=100) — the number of girls. The fourth l...
Print a single number — the required maximum possible number of pairs.
[ "4\n1 4 6 2\n5\n5 1 5 7 9\n", "4\n1 2 3 4\n4\n10 11 12 13\n", "5\n1 1 1 1 1\n3\n1 2 3\n" ]
[ "3\n", "0\n", "2\n" ]
none
[ { "input": "4\n1 4 6 2\n5\n5 1 5 7 9", "output": "3" }, { "input": "4\n1 2 3 4\n4\n10 11 12 13", "output": "0" }, { "input": "5\n1 1 1 1 1\n3\n1 2 3", "output": "2" }, { "input": "1\n1\n1\n1", "output": "1" }, { "input": "2\n1 10\n1\n9", "output": "1" }, {...
77
0
3
43
0
none
[ "none" ]
null
null
It's another Start[c]up finals, and that means there is pizza to order for the onsite contestants. There are only 2 types of pizza (obviously not, but let's just pretend for the sake of the problem), and all pizzas contain exactly *S* slices. It is known that the *i*-th contestant will eat *s**i* slices of pizza, and ...
The first line of input will contain integers *N* and *S* (1<=≤<=*N*<=≤<=105,<=1<=≤<=*S*<=≤<=105), the number of contestants and the number of slices per pizza, respectively. *N* lines follow. The *i*-th such line contains integers *s**i*, *a**i*, and *b**i* (1<=≤<=*s**i*<=≤<=105,<=1<=≤<=*a**i*<=≤<=105,<=1<=≤<=*b**i*<...
Print the maximum total happiness that can be achieved.
[ "3 12\n3 5 7\n4 6 7\n5 9 5\n", "6 10\n7 4 7\n5 8 8\n12 5 8\n6 11 6\n3 3 7\n5 9 6\n" ]
[ "84\n", "314\n" ]
In the first example, you only need to buy one pizza. If you buy a type 1 pizza, the total happiness will be 3·5 + 4·6 + 5·9 = 84, and if you buy a type 2 pizza, the total happiness will be 3·7 + 4·7 + 5·5 = 74.
[ { "input": "3 12\n3 5 7\n4 6 7\n5 9 5", "output": "84" }, { "input": "6 10\n7 4 7\n5 8 8\n12 5 8\n6 11 6\n3 3 7\n5 9 6", "output": "314" }, { "input": "1 100\n97065 97644 98402", "output": "9551390130" }, { "input": "1 100000\n1 82372 5587", "output": "82372" }, { ...
30
0
0
44
915
Garden
[ "implementation" ]
null
null
Luba thinks about watering her garden. The garden can be represented as a segment of length *k*. Luba has got *n* buckets, the *i*-th bucket allows her to water some continuous subsegment of garden of length exactly *a**i* each hour. Luba can't water any parts of the garden that were already watered, also she can't wat...
The first line of input contains two integer numbers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100) — the number of buckets and the length of the garden, respectively. The second line of input contains *n* integer numbers *a**i* (1<=≤<=*a**i*<=≤<=100) — the length of the segment that can be watered by the *i*-th bucket in one ...
Print one integer number — the minimum number of hours required to water the garden.
[ "3 6\n2 3 5\n", "6 7\n1 2 3 4 5 6\n" ]
[ "2\n", "7\n" ]
In the first test the best option is to choose the bucket that allows to water the segment of length 3. We can't choose the bucket that allows to water the segment of length 5 because then we can't water the whole garden. In the second test we can choose only the bucket that allows us to water the segment of length 1.
[ { "input": "3 6\n2 3 5", "output": "2" }, { "input": "6 7\n1 2 3 4 5 6", "output": "7" }, { "input": "5 97\n1 10 50 97 2", "output": "1" }, { "input": "5 97\n1 10 50 100 2", "output": "97" }, { "input": "100 100\n2 46 24 18 86 90 31 38 84 49 58 28 15 80 14 24 87 5...
0
0
-1
45
581
Vasya the Hipster
[ "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 ...
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'...
[ "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.
[ { "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":...
30
0
-1
46
685
Robbers' watch
[ "brute force", "combinatorics", "dp", "math" ]
null
null
Robbers, who attacked the Gerda's cab, are very successful in covering from the kingdom police. To make the goal of catching them even harder, they use their own watches. First, as they know that kingdom police is bad at math, robbers use the positional numeral system with base 7. Second, they divide one day in *n* ho...
The first line of the input contains two integers, given in the decimal notation, *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=109) — the number of hours in one day and the number of minutes in one hour, respectively.
Print one integer in decimal notation — the number of different pairs of hour and minute, such that all digits displayed on the watches are distinct.
[ "2 3\n", "8 2\n" ]
[ "4\n", "5\n" ]
In the first sample, possible pairs are: (0: 1), (0: 2), (1: 0), (1: 2). In the second sample, possible pairs are: (02: 1), (03: 1), (04: 1), (05: 1), (06: 1).
[ { "input": "2 3", "output": "4" }, { "input": "8 2", "output": "5" }, { "input": "1 1", "output": "0" }, { "input": "1 2", "output": "1" }, { "input": "8 8", "output": "0" }, { "input": "50 50", "output": "0" }, { "input": "344 344", "o...
139
0
0
47
515
Drazil and Factorial
[ "greedy", "math", "sortings" ]
null
null
Drazil is playing a math game with Varda. Let's define for positive integer *x* as a product of factorials of its digits. For example, . First, they choose a decimal number *a* consisting of *n* digits that contains at least one digit larger than 1. This number may possibly start with leading zeroes. Then they shoul...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=15) — the number of digits in *a*. The second line contains *n* digits of *a*. There is at least one digit in *a* that is larger than 1. Number *a* may possibly contain leading zeroes.
Output a maximum possible integer satisfying the conditions above. There should be no zeroes and ones in this number decimal representation.
[ "4\n1234\n", "3\n555\n" ]
[ "33222\n", "555\n" ]
In the first case, <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/f5a4207f23215fddce977ab5ea9e9d2e7578fb52.png" style="max-width: 100.0%;max-height: 100.0%;"/>
[ { "input": "4\n1234", "output": "33222" }, { "input": "3\n555", "output": "555" }, { "input": "15\n012345781234578", "output": "7777553333222222222222" }, { "input": "1\n8", "output": "7222" }, { "input": "10\n1413472614", "output": "75333332222222" }, { ...
30
0
0
48
545
Queue
[ "greedy", "implementation", "sortings" ]
null
null
Little girl Susie went shopping with her mom and she wondered how to improve service quality. There are *n* people in the queue. For each person we know time *t**i* needed to serve him. A person will be disappointed if the time he waits is more than the time needed to serve him. The time a person waits is the total t...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105). The next line contains *n* integers *t**i* (1<=≤<=*t**i*<=≤<=109), separated by spaces.
Print a single number — the maximum number of not disappointed people in the queue.
[ "5\n15 2 1 5 3\n" ]
[ "4\n" ]
Value 4 is achieved at such an arrangement, for example: 1, 2, 3, 5, 15. Thus, you can make everything feel not disappointed except for the person with time 5.
[ { "input": "5\n15 2 1 5 3", "output": "4" }, { "input": "15\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1", "output": "2" }, { "input": "10\n13 2 5 55 21 34 1 8 1 3", "output": "6" }, { "input": "10\n8 256 16 1 2 1 64 4 128 32", "output": "10" }, { "input": "10\n10000 40000 1000...
31
0
0
49
463
Caisa and Pylons
[ "brute force", "implementation", "math" ]
null
null
Caisa solved the problem with the sugar and now he is on the way back to home. Caisa is playing a mobile game during his path. There are (*n*<=+<=1) pylons numbered from 0 to *n* in this game. The pylon with number 0 has zero height, the pylon with number *i* (*i*<=&gt;<=0) has height *h**i*. The goal of the game is ...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105). The next line contains *n* integers *h*1, *h*2,<=..., *h**n* (1<=<=≤<=<=*h**i*<=<=≤<=<=105) representing the heights of the pylons.
Print a single number representing the minimum number of dollars paid by Caisa.
[ "5\n3 4 3 2 4\n", "3\n4 4 4\n" ]
[ "4\n", "4\n" ]
In the first sample he can pay 4 dollars and increase the height of pylon with number 0 by 4 units. Then he can safely pass to the last pylon.
[ { "input": "5\n3 4 3 2 4", "output": "4" }, { "input": "3\n4 4 4", "output": "4" }, { "input": "99\n1401 2019 1748 3785 3236 3177 3443 3772 2138 1049 353 908 310 2388 1322 88 2160 2783 435 2248 1471 706 2468 2319 3156 3506 2794 1999 1983 2519 2597 3735 537 344 3519 3772 3872 2961 3895 20...
140
10,035,200
3
50
0
none
[ "none" ]
null
null
Recently, a start up by two students of a state university of city F gained incredible popularity. Now it's time to start a new company. But what do we call it? The market analysts came up with a very smart plan: the name of the company should be identical to its reflection in a mirror! In other words, if we write out...
The first line contains a non-empty name that needs to be checked. The name contains at most 105 large English letters. The name will be written with the next sans serif font:
Print 'YES' (without the quotes), if the given name matches its mirror reflection. Otherwise, print 'NO' (without the quotes).
[ "AHA\n", "Z\n", "XO\n" ]
[ "YES\n", "NO\n", "NO\n" ]
none
[ { "input": "AHA", "output": "YES" }, { "input": "Z", "output": "NO" }, { "input": "XO", "output": "NO" }, { "input": "AAA", "output": "YES" }, { "input": "AHHA", "output": "YES" }, { "input": "BAB", "output": "NO" }, { "input": "OMMMAAMMMO"...
62
20,172,800
0
51
731
Night at the Museum
[ "implementation", "strings" ]
null
null
Grigoriy, like the hero of one famous comedy film, found a job as a night security guard at the museum. At first night he received embosser and was to take stock of the whole exposition. Embosser is a special devise that allows to "print" the text of a plastic tape. Text is printed sequentially, character by character...
The only line of input contains the name of some exhibit — the non-empty string consisting of no more than 100 characters. It's guaranteed that the string consists of only lowercase English letters.
Print one integer — the minimum number of rotations of the wheel, required to print the name given in the input.
[ "zeus\n", "map\n", "ares\n" ]
[ "18\n", "35\n", "34\n" ]
To print the string from the first sample it would be optimal to perform the following sequence of rotations: 1. from 'a' to 'z' (1 rotation counterclockwise), 1. from 'z' to 'e' (5 clockwise rotations), 1. from 'e' to 'u' (10 rotations counterclockwise), 1. from 'u' to 's' (2 counterclockwise rotations).
[ { "input": "zeus", "output": "18" }, { "input": "map", "output": "35" }, { "input": "ares", "output": "34" }, { "input": "l", "output": "11" }, { "input": "abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuv", "...
30
0
0
52
801
Valued Keys
[ "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 cha...
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".
[ { "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" },...
93
23,040,000
0
53
5
Chat Servers Outgoing Traffic
[ "implementation" ]
A. Chat Server's Outgoing Traffic
1
64
Polycarp is working on a new project called "Polychat". Following modern tendencies in IT, he decided, that this project should contain chat as well. To achieve this goal, Polycarp has spent several hours in front of his laptop and implemented a chat server that can process three types of commands: - Include a person...
Input file will contain not more than 100 commands, each in its own line. No line will exceed 100 characters. Formats of the commands will be the following: - +&lt;name&gt; for 'Add' command. - -&lt;name&gt; for 'Remove' command. - &lt;sender_name&gt;:&lt;message_text&gt; for 'Send' command. &lt;name&gt; and &lt;s...
Print a single number — answer to the problem.
[ "+Mike\nMike:hello\n+Kate\n+Dmitry\n-Dmitry\nKate:hi\n-Kate\n", "+Mike\n-Mike\n+Mike\nMike:Hi I am here\n-Mike\n+Kate\n-Kate\n" ]
[ "9\n", "14\n" ]
none
[ { "input": "+Mike\nMike:hello\n+Kate\n+Dmitry\n-Dmitry\nKate:hi\n-Kate", "output": "9" }, { "input": "+Mike\n-Mike\n+Mike\nMike:Hi I am here\n-Mike\n+Kate\n-Kate", "output": "14" }, { "input": "+Dmitry\n+Mike\nDmitry:All letters will be used\nDmitry:qwertyuiopasdfghjklzxcvbnm QWERTYUIO...
124
0
3.938
54
698
Vacations
[ "dp" ]
null
null
Vasya has *n* days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this *n* days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the *i*-th day there are four options: 1. on this day the gym is close...
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of days of Vasya's vacations. The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=3) separated by space, where: - *a**i* equals 0, if on the *i*-th day of vacations the gym is closed and the co...
Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses: - to do sport on any two consecutive days, - to write the contest on any two consecutive days.
[ "4\n1 3 2 0\n", "7\n1 3 3 2 1 2 3\n", "2\n2 2\n" ]
[ "2\n", "0\n", "1\n" ]
In the first test Vasya can write the contest on the day number 1 and do sport on the day number 3. Thus, he will have a rest for only 2 days. In the second test Vasya should write contests on days number 1, 3, 5 and 7, in other days do sport. Thus, he will not have a rest for a single day. In the third test Vasya ca...
[ { "input": "4\n1 3 2 0", "output": "2" }, { "input": "7\n1 3 3 2 1 2 3", "output": "0" }, { "input": "2\n2 2", "output": "1" }, { "input": "1\n0", "output": "1" }, { "input": "10\n0 0 1 1 0 0 0 0 1 0", "output": "8" }, { "input": "100\n3 2 3 3 3 2 3 1 ...
93
0
0
55
300
Painting Square
[ "dp", "fft" ]
null
null
Vasily the bear has got a large square white table of *n* rows and *n* columns. The table has got a black border around this table. Vasily the bear wants to paint his square table in exactly *k* moves. Each move is sequence of actions: 1. The bear chooses some square inside his table. At that the square must have a ...
The first line contains integer *q* (1<=≤<=*q*<=≤<=105) — the number of test data. Each of the following *q* lines contains two integers *n* and *k* (1<=≤<=*n*<=≤<=109,<=0<=≤<=*k*<=≤<=1000) — the size of the initial table and the number of moves for the corresponding test.
For each test from the input print the answer to the problem modulo 7340033. Print the answers to the tests in the order in which the tests are given in the input.
[ "8\n1 0\n1 1\n3 0\n3 1\n2 0\n2 1\n3 2\n7 2\n" ]
[ "1\n0\n1\n1\n1\n0\n0\n4\n" ]
All possible painting ways for the test *n* = 7 and *k* = 2 are:
[ { "input": "8\n1 0\n1 1\n3 0\n3 1\n2 0\n2 1\n3 2\n7 2", "output": "1\n0\n1\n1\n1\n0\n0\n4" } ]
92
0
0
56
940
Phone Numbers
[ "constructive algorithms", "implementation", "strings" ]
null
null
And where the are the phone numbers? You are given a string *s* consisting of lowercase English letters and an integer *k*. Find the lexicographically smallest string *t* of length *k*, such that its set of letters is a subset of the set of letters of *s* and *s* is lexicographically smaller than *t*. It's guaranteed...
The first line of input contains two space separated integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100<=000) — the length of *s* and the required length of *t*. The second line of input contains the string *s* consisting of *n* lowercase English letters.
Output the string *t* conforming to the requirements above. It's guaranteed that the answer exists.
[ "3 3\nabc\n", "3 2\nabc\n", "3 3\nayy\n", "2 3\nba\n" ]
[ "aca\n", "ac\n", "yaa\n", "baa\n" ]
In the first example the list of strings *t* of length 3, such that the set of letters of *t* is a subset of letters of *s* is as follows: aaa, aab, aac, aba, abb, abc, aca, acb, .... Among them, those are lexicographically greater than abc: aca, acb, .... Out of those the lexicographically smallest is aca.
[ { "input": "3 3\nabc", "output": "aca" }, { "input": "3 2\nabc", "output": "ac" }, { "input": "3 3\nayy", "output": "yaa" }, { "input": "2 3\nba", "output": "baa" }, { "input": "1 3\nf", "output": "fff" }, { "input": "3 1\nazz", "output": "z" }, ...
78
5,939,200
3
57
149
Business trip
[ "greedy", "implementation", "sortings" ]
null
null
What joy! Petya's parents went on a business trip for the whole year and the playful kid is left all by himself. Petya got absolutely happy. He jumped on the bed and threw pillows all day long, until... Today Petya opened the cupboard and found a scary note there. His parents had left him with duties: he should water...
The first line contains exactly one integer *k* (0<=≤<=*k*<=≤<=100). The next line contains twelve space-separated integers: the *i*-th (1<=≤<=*i*<=≤<=12) number in the line represents *a**i* (0<=≤<=*a**i*<=≤<=100).
Print the only integer — the minimum number of months when Petya has to water the flower so that the flower grows no less than by *k* centimeters. If the flower can't grow by *k* centimeters in a year, print -1.
[ "5\n1 1 1 1 2 2 3 2 2 1 1 1\n", "0\n0 0 0 0 0 0 0 1 1 2 3 0\n", "11\n1 1 4 1 1 5 1 1 4 1 1 1\n" ]
[ "2\n", "0\n", "3\n" ]
Let's consider the first sample test. There it is enough to water the flower during the seventh and the ninth month. Then the flower grows by exactly five centimeters. In the second sample Petya's parents will believe him even if the flower doesn't grow at all (*k* = 0). So, it is possible for Petya not to water the f...
[ { "input": "5\n1 1 1 1 2 2 3 2 2 1 1 1", "output": "2" }, { "input": "0\n0 0 0 0 0 0 0 1 1 2 3 0", "output": "0" }, { "input": "11\n1 1 4 1 1 5 1 1 4 1 1 1", "output": "3" }, { "input": "15\n20 1 1 1 1 2 2 1 2 2 1 1", "output": "1" }, { "input": "7\n8 9 100 12 14 ...
62
0
-1
58
1,005
Delete from the Left
[ "brute force", "implementation", "strings" ]
null
null
You are given two strings $s$ and $t$. In a single move, you can choose any of two strings and delete the first (that is, the leftmost) character. After a move, the length of the string decreases by $1$. You can't choose a string if it is empty. For example: - by applying a move to the string "where", the result is ...
The first line of the input contains $s$. In the second line of the input contains $t$. Both strings consist only of lowercase Latin letters. The number of letters in each string is between 1 and $2\cdot10^5$, inclusive.
Output the fewest number of moves required. It is possible that, in the end, both strings will be equal to the empty string, and so, are equal to each other. In this case, the answer is obviously the sum of the lengths of the given strings.
[ "test\nwest\n", "codeforces\nyes\n", "test\nyes\n", "b\nab\n" ]
[ "2\n", "9\n", "7\n", "1\n" ]
In the first example, you should apply the move once to the first string and apply the move once to the second string. As a result, both strings will be equal to "est". In the second example, the move should be applied to the string "codeforces" $8$ times. As a result, the string becomes "codeforces" $\to$ "es". The m...
[ { "input": "test\nwest", "output": "2" }, { "input": "codeforces\nyes", "output": "9" }, { "input": "test\nyes", "output": "7" }, { "input": "b\nab", "output": "1" }, { "input": "z\nz", "output": "0" }, { "input": "abacabadabacaba\nabacabadacaba", ...
46
0
0
59
22
Scheme
[ "dfs and similar", "graphs", "trees" ]
E. Scheme
2
256
To learn as soon as possible the latest news about their favourite fundamentally new operating system, BolgenOS community from Nizhni Tagil decided to develop a scheme. According to this scheme a community member, who is the first to learn the news, calls some other member, the latter, in his turn, calls some third mem...
The first input line contains number *n* (2<=≤<=*n*<=≤<=105) — amount of BolgenOS community members. The second line contains *n* space-separated integer numbers *f**i* (1<=≤<=*f**i*<=≤<=*n*,<=*i*<=≠<=*f**i*) — index of a person, to whom calls a person with index *i*.
In the first line output one number — the minimum amount of instructions to add. Then output one of the possible variants to add these instructions into the scheme, one instruction in each line. If the solution is not unique, output any.
[ "3\n3 3 2\n", "7\n2 3 1 3 4 4 1\n" ]
[ "1\n3 1\n", "3\n2 5\n2 6\n3 7\n" ]
none
[ { "input": "3\n3 3 2", "output": "1\n3 1" }, { "input": "7\n2 3 1 3 4 4 1", "output": "3\n1 5\n1 6\n1 7" }, { "input": "2\n2 1", "output": "0" }, { "input": "3\n2 3 1", "output": "0" }, { "input": "4\n2 4 4 3", "output": "1\n4 1" }, { "input": "5\n5 3 ...
310
3,788,800
0
60
608
Saitama Destroys Hotel
[ "implementation", "math" ]
null
null
Saitama accidentally destroyed a hotel again. To repay the hotel company, Genos has volunteered to operate an elevator in one of its other hotels. The elevator is special — it starts on the top floor, can only move down, and has infinite capacity. Floors are numbered from 0 to *s* and elevator initially starts on floor...
The first line of input contains two integers *n* and *s* (1<=≤<=*n*<=≤<=100, 1<=≤<=*s*<=≤<=1000) — the number of passengers and the number of the top floor respectively. The next *n* lines each contain two space-separated integers *f**i* and *t**i* (1<=≤<=*f**i*<=≤<=*s*, 1<=≤<=*t**i*<=≤<=1000) — the floor and the tim...
Print a single integer — the minimum amount of time in seconds needed to bring all the passengers to floor 0.
[ "3 7\n2 1\n3 8\n5 2\n", "5 10\n2 77\n3 33\n8 21\n9 12\n10 64\n" ]
[ "11\n", "79\n" ]
In the first sample, it takes at least 11 seconds to bring all passengers to floor 0. Here is how this could be done: 1. Move to floor 5: takes 2 seconds. 2. Pick up passenger 3. 3. Move to floor 3: takes 2 seconds. 4. Wait for passenger 2 to arrive: takes 4 seconds. 5. Pick up passenger 2. 6. Go to floor 2: take...
[ { "input": "3 7\n2 1\n3 8\n5 2", "output": "11" }, { "input": "5 10\n2 77\n3 33\n8 21\n9 12\n10 64", "output": "79" }, { "input": "1 1000\n1000 1000", "output": "2000" }, { "input": "1 1\n1 1", "output": "2" }, { "input": "1 1000\n1 1", "output": "1000" }, ...
46
0
0
61
27
Next Test
[ "implementation", "sortings" ]
A. Next Test
2
256
«Polygon» is a system which allows to create programming tasks in a simple and professional way. When you add a test to the problem, the corresponding form asks you for the test index. As in most cases it is clear which index the next test will have, the system suggests the default value of the index. It is calculated ...
The first line contains one integer *n* (1<=≤<=*n*<=≤<=3000) — the amount of previously added tests. The second line contains *n* distinct integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=3000) — indexes of these tests.
Output the required default value for the next test index.
[ "3\n1 7 2\n" ]
[ "3\n" ]
none
[ { "input": "1\n1", "output": "2" }, { "input": "2\n2 1", "output": "3" }, { "input": "3\n3 4 1", "output": "2" }, { "input": "4\n6 4 3 5", "output": "1" }, { "input": "5\n3 2 1 7 4", "output": "5" }, { "input": "6\n4 1 2 5 3 7", "output": "6" }, ...
60
0
0
62
404
Valera and X
[ "implementation" ]
null
null
Valera is a little boy. Yesterday he got a huge Math hometask at school, so Valera didn't have enough time to properly learn the English alphabet for his English lesson. Unfortunately, the English teacher decided to have a test on alphabet today. At the test Valera got a square piece of squared paper. The length of the...
The first line contains integer *n* (3<=≤<=*n*<=&lt;<=300; *n* is odd). Each of the next *n* lines contains *n* small English letters — the description of Valera's paper.
Print string "YES", if the letters on the paper form letter "X". Otherwise, print string "NO". Print the strings without quotes.
[ "5\nxooox\noxoxo\nsoxoo\noxoxo\nxooox\n", "3\nwsw\nsws\nwsw\n", "3\nxpx\npxp\nxpe\n" ]
[ "NO\n", "YES\n", "NO\n" ]
none
[ { "input": "5\nxooox\noxoxo\nsoxoo\noxoxo\nxooox", "output": "NO" }, { "input": "3\nwsw\nsws\nwsw", "output": "YES" }, { "input": "3\nxpx\npxp\nxpe", "output": "NO" }, { "input": "5\nliiil\nilili\niilii\nilili\nliiil", "output": "YES" }, { "input": "7\nbwccccb\nck...
77
204,800
3
63
835
Key races
[ "math" ]
null
null
Two boys decided to compete in text typing on the site "Key races". During the competition, they have to type a text consisting of *s* characters. The first participant types one character in *v*1 milliseconds and has ping *t*1 milliseconds. The second participant types one character in *v*2 milliseconds and has ping *...
The first line contains five integers *s*, *v*1, *v*2, *t*1, *t*2 (1<=≤<=*s*,<=*v*1,<=*v*2,<=*t*1,<=*t*2<=≤<=1000) — the number of characters in the text, the time of typing one character for the first participant, the time of typing one character for the the second participant, the ping of the first participant and th...
If the first participant wins, print "First". If the second participant wins, print "Second". In case of a draw print "Friendship".
[ "5 1 2 1 2\n", "3 3 1 1 1\n", "4 5 3 1 5\n" ]
[ "First\n", "Second\n", "Friendship\n" ]
In the first example, information on the success of the first participant comes in 7 milliseconds, of the second participant — in 14 milliseconds. So, the first wins. In the second example, information on the success of the first participant comes in 11 milliseconds, of the second participant — in 5 milliseconds. So, ...
[ { "input": "5 1 2 1 2", "output": "First" }, { "input": "3 3 1 1 1", "output": "Second" }, { "input": "4 5 3 1 5", "output": "Friendship" }, { "input": "1000 1000 1000 1000 1000", "output": "Friendship" }, { "input": "1 1 1 1 1", "output": "Friendship" }, ...
30
0
-1
64
2
Winner
[ "hashing", "implementation" ]
A. Winner
1
64
The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a pla...
The first line contains an integer number *n* (1<=<=≤<=<=*n*<=<=≤<=<=1000), *n* is the number of rounds played. Then follow *n* lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is ...
Print the name of the winner.
[ "3\nmike 3\nandrew 5\nmike 2\n", "3\nandrew 3\nandrew 2\nmike 5\n" ]
[ "andrew\n", "andrew\n" ]
none
[ { "input": "3\nmike 3\nandrew 5\nmike 2", "output": "andrew" }, { "input": "3\nandrew 3\nandrew 2\nmike 5", "output": "andrew" }, { "input": "5\nkaxqybeultn -352\nmgochgrmeyieyskhuourfg -910\nkaxqybeultn 691\nmgochgrmeyieyskhuourfg -76\nkaxqybeultn -303", "output": "kaxqybeultn" },...
124
4,608,000
0
65
965
Greedy Arkady
[ "math" ]
null
null
$k$ people want to split $n$ candies between them. Each candy should be given to exactly one of them or be thrown away. The people are numbered from $1$ to $k$, and Arkady is the first of them. To split the candies, Arkady will choose an integer $x$ and then give the first $x$ candies to himself, the next $x$ candies ...
The only line contains four integers $n$, $k$, $M$ and $D$ ($2 \le n \le 10^{18}$, $2 \le k \le n$, $1 \le M \le n$, $1 \le D \le \min{(n, 1000)}$, $M \cdot D \cdot k \ge n$) — the number of candies, the number of people, the maximum number of candies given to a person at once, the maximum number of times a person can ...
Print a single integer — the maximum possible number of candies Arkady can give to himself. Note that it is always possible to choose some valid $x$.
[ "20 4 5 2\n", "30 9 4 1\n" ]
[ "8\n", "4\n" ]
In the first example Arkady should choose $x = 4$. He will give $4$ candies to himself, $4$ candies to the second person, $4$ candies to the third person, then $4$ candies to the fourth person and then again $4$ candies to himself. No person is given candies more than $2$ times, and Arkady receives $8$ candies in total...
[ { "input": "20 4 5 2", "output": "8" }, { "input": "30 9 4 1", "output": "4" }, { "input": "2 2 1 1", "output": "1" }, { "input": "42 20 5 29", "output": "5" }, { "input": "1000000000000000000 135 1000000000000000 1000", "output": "8325624421831635" }, { ...
140
0
3
66
246
Increase and Decrease
[ "greedy", "math" ]
null
null
Polycarpus has an array, consisting of *n* integers *a*1,<=*a*2,<=...,<=*a**n*. Polycarpus likes it when numbers in an array match. That's why he wants the array to have as many equal numbers as possible. For that Polycarpus performs the following operation multiple times: - he chooses two elements of the array *a**i...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the array size. The second line contains space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (|*a**i*|<=≤<=104) — the original array.
Print a single integer — the maximum number of equal array elements he can get if he performs an arbitrary number of the given operation.
[ "2\n2 1\n", "3\n1 4 1\n" ]
[ "1\n", "3\n" ]
none
[ { "input": "2\n2 1", "output": "1" }, { "input": "3\n1 4 1", "output": "3" }, { "input": "4\n2 -7 -2 -6", "output": "3" }, { "input": "4\n2 0 -2 -1", "output": "3" }, { "input": "6\n-1 1 0 0 -1 -1", "output": "5" }, { "input": "5\n0 0 0 0 0", "outp...
342
5,632,000
3
67
604
More Cowbell
[ "binary search", "greedy" ]
null
null
Kevin Sun wants to move his precious collection of *n* cowbells from Naperthrill to Exeter, where there is actually grass instead of corn. Before moving, he must pack his cowbells into *k* boxes of a fixed size. In order to keep his collection safe during transportation, he won't place more than two cowbells into a sin...
The first line of the input contains two space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=2·*k*<=≤<=100<=000), denoting the number of cowbells and the number of boxes, respectively. The next line contains *n* space-separated integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s*1<=≤<=*s*2<=≤<=...<=≤<=*s**n*<=≤<=1<=000<=000...
Print a single integer, the smallest *s* for which it is possible for Kevin to put all of his cowbells into *k* boxes of size *s*.
[ "2 1\n2 5\n", "4 3\n2 3 5 9\n", "3 2\n3 5 7\n" ]
[ "7\n", "9\n", "8\n" ]
In the first sample, Kevin must pack his two cowbells into the same box. In the second sample, Kevin can pack together the following sets of cowbells: {2, 3}, {5} and {9}. In the third sample, the optimal solution is {3, 5} and {7}.
[ { "input": "2 1\n2 5", "output": "7" }, { "input": "4 3\n2 3 5 9", "output": "9" }, { "input": "3 2\n3 5 7", "output": "8" }, { "input": "20 11\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1", "output": "2" }, { "input": "10 10\n3 15 31 61 63 63 68 94 98 100", "outp...
77
12,390,400
0
68
445
DZY Loves Chessboard
[ "dfs and similar", "implementation" ]
null
null
DZY loves chessboard, and he enjoys playing with it. He has a chessboard of *n* rows and *m* columns. Some cells of the chessboard are bad, others are good. For every good cell, DZY wants to put a chessman on it. Each chessman is either white or black. After putting all chessmen, DZY wants that no two chessmen with th...
The first line contains two space-separated integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100). Each of the next *n* lines contains a string of *m* characters: the *j*-th character of the *i*-th string is either "." or "-". A "." means that the corresponding cell (in the *i*-th row and the *j*-th column) is good, while a ...
Output must contain *n* lines, each line must contain a string of *m* characters. The *j*-th character of the *i*-th string should be either "W", "B" or "-". Character "W" means the chessman on the cell is white, "B" means it is black, "-" means the cell is a bad cell. If multiple answers exist, print any of them. It ...
[ "1 1\n.\n", "2 2\n..\n..\n", "3 3\n.-.\n---\n--." ]
[ "B\n", "BW\nWB\n", "B-B\n---\n--B" ]
In the first sample, DZY puts a single black chessman. Of course putting a white one is also OK. In the second sample, all 4 cells are good. No two same chessmen share an edge in the sample output. In the third sample, no good cells are adjacent. So you can just put 3 chessmen, no matter what their colors are.
[ { "input": "1 1\n.", "output": "B" }, { "input": "2 2\n..\n..", "output": "BW\nWB" }, { "input": "3 3\n.-.\n---\n--.", "output": "B-B\n---\n--B" }, { "input": "3 1\n-\n.\n.", "output": "-\nW\nB" }, { "input": "11 11\n-----------\n-----------\n-----------\n--------...
62
0
3
69
352
Jeff and Periods
[ "implementation", "sortings" ]
null
null
One day Jeff got hold of an integer sequence *a*1, *a*2, ..., *a**n* of length *n*. The boy immediately decided to analyze the sequence. For that, he needs to find all values of *x*, for which these conditions hold: - *x* occurs in sequence *a*. - Consider all positions of numbers *x* in the sequence *a* (such *i*, ...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105). The next line contains integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=105). The numbers are separated by spaces.
In the first line print integer *t* — the number of valid *x*. On each of the next *t* lines print two integers *x* and *p**x*, where *x* is current suitable value, *p**x* is the common difference between numbers in the progression (if *x* occurs exactly once in the sequence, *p**x* must equal 0). Print the pairs in th...
[ "1\n2\n", "8\n1 2 1 3 1 2 1 5\n" ]
[ "1\n2 0\n", "4\n1 2\n2 4\n3 0\n5 0\n" ]
In the first test 2 occurs exactly once in the sequence, ergo *p*<sub class="lower-index">2</sub> = 0.
[ { "input": "1\n2", "output": "1\n2 0" }, { "input": "8\n1 2 1 3 1 2 1 5", "output": "4\n1 2\n2 4\n3 0\n5 0" }, { "input": "3\n1 10 5", "output": "3\n1 0\n5 0\n10 0" }, { "input": "4\n9 9 3 5", "output": "3\n3 0\n5 0\n9 1" }, { "input": "6\n1 2 2 1 1 2", "outpu...
966
14,950,400
3
70
313
Ilya and Bank Account
[ "implementation", "number theory" ]
null
null
Ilya is a very clever lion, he lives in an unusual city ZooVille. In this city all the animals have their rights and obligations. Moreover, they even have their own bank accounts. The state of a bank account is an integer. The state of a bank account can be a negative number. This means that the owner of the account ow...
The single line contains integer *n* (10<=≤<=|*n*|<=≤<=109) — the state of Ilya's bank account.
In a single line print an integer — the maximum state of the bank account that Ilya can get.
[ "2230\n", "-10\n", "-100003\n" ]
[ "2230\n", "0\n", "-10000\n" ]
In the first test sample Ilya doesn't profit from using the present. In the second test sample you can delete digit 1 and get the state of the account equal to 0.
[ { "input": "2230", "output": "2230" }, { "input": "-10", "output": "0" }, { "input": "-100003", "output": "-10000" }, { "input": "544883178", "output": "544883178" }, { "input": "-847251738", "output": "-84725173" }, { "input": "423654797", "output...
154
2,867,200
-1
71
722
Broken Clock
[ "brute force", "implementation" ]
null
null
You are given a broken clock. You know, that it is supposed to show time in 12- or 24-hours HH:MM format. In 12-hours format hours change from 1 to 12, while in 24-hours it changes from 0 to 23. In both formats minutes change from 0 to 59. You are given a time in format HH:MM that is currently displayed on the broken ...
The first line of the input contains one integer 12 or 24, that denote 12-hours or 24-hours format respectively. The second line contains the time in format HH:MM, that is currently displayed on the clock. First two characters stand for the hours, while next two show the minutes.
The only line of the output should contain the time in format HH:MM that is a correct time in the given format. It should differ from the original in as few positions as possible. If there are many optimal solutions you can print any of them.
[ "24\n17:30\n", "12\n17:30\n", "24\n99:99\n" ]
[ "17:30\n", "07:30\n", "09:09\n" ]
none
[ { "input": "24\n17:30", "output": "17:30" }, { "input": "12\n17:30", "output": "07:30" }, { "input": "24\n99:99", "output": "09:09" }, { "input": "12\n05:54", "output": "05:54" }, { "input": "12\n00:05", "output": "01:05" }, { "input": "24\n23:80", ...
124
0
0
72
794
Bank Robbery
[ "brute force", "implementation" ]
null
null
A robber has attempted to rob a bank but failed to complete his task. However, he had managed to open all the safes. Oleg the bank client loves money (who doesn't), and decides to take advantage of this failed robbery and steal some money from the safes. There are many safes arranged in a line, where the *i*-th safe f...
The first line of input contains three space-separated integers, *a*, *b* and *c* (1<=≤<=*b*<=&lt;<=*a*<=&lt;<=*c*<=≤<=109), denoting the positions of Oleg, the first security guard and the second security guard, respectively. The next line of input contains a single integer *n* (1<=≤<=*n*<=≤<=105), denoting the numbe...
Output a single integer: the maximum number of banknotes Oleg can take.
[ "5 3 7\n8\n4 7 5 5 3 6 2 8\n", "6 5 7\n5\n1 5 7 92 3\n" ]
[ "4\n", "0\n" ]
In the first example Oleg can take the banknotes in positions 4, 5, 6 (note that there are 2 banknotes at position 5). Oleg can't take the banknotes in safes 7 and 8 because he can't run into the second security guard. Similarly, Oleg cannot take the banknotes at positions 3 and 2 because he can't run into the first se...
[ { "input": "5 3 7\n8\n4 7 5 5 3 6 2 8", "output": "4" }, { "input": "6 5 7\n5\n1 5 7 92 3", "output": "0" }, { "input": "3 2 4\n1\n3", "output": "1" }, { "input": "5 3 8\n12\n8 3 4 5 7 6 8 3 5 4 7 6", "output": "8" }, { "input": "7 3 10\n5\n3 3 3 3 3", "output...
62
0
0
73
265
Colorful Stones (Simplified Edition)
[ "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. Ini...
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
[ { "input": "RGB\nRRR", "output": "2" }, { "input": "RRRBGBRBBB\nBBBRR", "output": "3" }, { "input": "BRRBGBRGRBGRGRRGGBGBGBRGBRGRGGGRBRRRBRBBBGRRRGGBBB\nBBRBGGRGRGBBBRBGRBRBBBBRBRRRBGBBGBBRRBBGGRBRRBRGRB", "output": "15" }, { "input": "G\nRRBBRBRRBR", "output": "1" }, ...
30
0
-1
74
749
Bachgold Problem
[ "greedy", "implementation", "math", "number theory" ]
null
null
Bachgold problem is very easy to formulate. Given a positive integer *n* represent it as a sum of maximum possible number of prime numbers. One can prove that such representation exists for any integer greater than 1. Recall that integer *k* is called prime if it is greater than 1 and has exactly two positive integer ...
The only line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000).
The first line of the output contains a single integer *k* — maximum possible number of primes in representation. The second line should contain *k* primes with their sum equal to *n*. You can print them in any order. If there are several optimal solution, print any of them.
[ "5\n", "6\n" ]
[ "2\n2 3\n", "3\n2 2 2\n" ]
none
[ { "input": "5", "output": "2\n2 3" }, { "input": "6", "output": "3\n2 2 2" }, { "input": "2", "output": "1\n2" }, { "input": "3", "output": "1\n3" }, { "input": "99999", "output": "49999\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...
31
0
0
75
365
Good Number
[ "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
[ { "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" }, { ...
30
0
0
76
500
New Year Transportation
[ "dfs and similar", "graphs", "implementation" ]
null
null
New Year is coming in Line World! In this world, there are *n* cells numbered by integers from 1 to *n*, as a 1<=×<=*n* board. People live in cells. However, it was hard to move between distinct cells, because of the difficulty of escaping the cell. People wanted to meet people who live in other cells. So, user tncks0...
The first line contains two space-separated integers *n* (3<=≤<=*n*<=≤<=3<=×<=104) and *t* (2<=≤<=*t*<=≤<=*n*) — the number of cells, and the index of the cell which I want to go to. The second line contains *n*<=-<=1 space-separated integers *a*1,<=*a*2,<=...,<=*a**n*<=-<=1 (1<=≤<=*a**i*<=≤<=*n*<=-<=*i*). It is guara...
If I can go to cell *t* using the transportation system, print "YES". Otherwise, print "NO".
[ "8 4\n1 2 1 2 1 2 1\n", "8 5\n1 2 1 2 1 1 1\n" ]
[ "YES\n", "NO\n" ]
In the first sample, the visited cells are: 1, 2, 4; so we can successfully visit the cell 4. In the second sample, the possible cells to visit are: 1, 2, 4, 6, 7, 8; so we can't visit the cell 5, which we want to visit.
[ { "input": "8 4\n1 2 1 2 1 2 1", "output": "YES" }, { "input": "8 5\n1 2 1 2 1 1 1", "output": "NO" }, { "input": "20 19\n13 16 7 6 12 1 5 7 8 6 5 7 5 5 3 3 2 2 1", "output": "YES" }, { "input": "50 49\n11 7 1 41 26 36 19 16 38 14 36 35 37 27 20 27 3 6 21 2 27 11 18 17 19 16 ...
0
0
-1
77
456
Laptops
[ "sortings" ]
null
null
One day Dima and Alex had an argument about the price and quality of laptops. Dima thinks that the more expensive a laptop is, the better it is. Alex disagrees. Alex thinks that there are two laptops, such that the price of the first laptop is less (strictly smaller) than the price of the second laptop but the quality ...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of laptops. Next *n* lines contain two integers each, *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*), where *a**i* is the price of the *i*-th laptop, and *b**i* is the number that represents the quality of the *i*-th laptop (the larger the numb...
If Alex is correct, print "Happy Alex", otherwise print "Poor Alex" (without the quotes).
[ "2\n1 2\n2 1\n" ]
[ "Happy Alex\n" ]
none
[ { "input": "2\n1 2\n2 1", "output": "Happy Alex" }, { "input": "2\n1 1\n2 2", "output": "Poor Alex" }, { "input": "3\n2 2\n3 3\n1 1", "output": "Poor Alex" }, { "input": "3\n3 3\n1 2\n2 1", "output": "Happy Alex" }, { "input": "1\n1 1", "output": "Poor Alex" ...
31
0
0
78
1,011
Planning The Expedition
[ "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 t...
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 pac...
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 ty...
[ { "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...
109
0
3
79
16
Burglar and Matches
[ "greedy", "implementation", "sortings" ]
B. Burglar and Matches
0
64
A burglar got into a matches warehouse and wants to steal as many matches as possible. In the warehouse there are *m* containers, in the *i*-th container there are *a**i* matchboxes, and each matchbox contains *b**i* matches. All the matchboxes are of the same size. The burglar's rucksack can hold *n* matchboxes exactl...
The first line of the input contains integer *n* (1<=≤<=*n*<=≤<=2·108) and integer *m* (1<=≤<=*m*<=≤<=20). The *i*<=+<=1-th line contains a pair of numbers *a**i* and *b**i* (1<=≤<=*a**i*<=≤<=108,<=1<=≤<=*b**i*<=≤<=10). All the input numbers are integer.
Output the only number — answer to the problem.
[ "7 3\n5 10\n2 5\n3 6\n", "3 3\n1 3\n2 2\n3 1\n" ]
[ "62\n", "7\n" ]
none
[ { "input": "7 3\n5 10\n2 5\n3 6", "output": "62" }, { "input": "3 3\n1 3\n2 2\n3 1", "output": "7" }, { "input": "1 1\n1 2", "output": "2" }, { "input": "1 2\n1 9\n1 6", "output": "9" }, { "input": "1 10\n1 1\n1 9\n1 3\n1 9\n1 7\n1 10\n1 4\n1 7\n1 3\n1 1", "ou...
92
0
0
80
146
Lucky Ticket
[ "implementation" ]
null
null
Petya loves lucky numbers very much. Everybody knows that lucky numbers are positive integers whose decimal record contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Petya loves tickets very much. As we know, each ticket has a number that is a positive integer. It...
The first line contains an even integer *n* (2<=≤<=*n*<=≤<=50) — the length of the ticket number that needs to be checked. The second line contains an integer whose length equals exactly *n* — the ticket number. The number may contain leading zeros.
On the first line print "YES" if the given ticket number is lucky. Otherwise, print "NO" (without the quotes).
[ "2\n47\n", "4\n4738\n", "4\n4774\n" ]
[ "NO\n", "NO\n", "YES\n" ]
In the first sample the sum of digits in the first half does not equal the sum of digits in the second half (4 ≠ 7). In the second sample the ticket number is not the lucky number.
[ { "input": "2\n47", "output": "NO" }, { "input": "4\n4738", "output": "NO" }, { "input": "4\n4774", "output": "YES" }, { "input": "4\n4570", "output": "NO" }, { "input": "6\n477477", "output": "YES" }, { "input": "6\n777777", "output": "YES" }, ...
124
0
3
81
466
Cheap Travel
[ "implementation" ]
null
null
Ann has recently started commuting by subway. We know that a one ride subway ticket costs *a* rubles. Besides, Ann found out that she can buy a special ticket for *m* rides (she can buy it several times). It costs *b* rubles. Ann did the math; she will need to use subway *n* times. Help Ann, tell her what is the minimu...
The single line contains four space-separated integers *n*, *m*, *a*, *b* (1<=≤<=*n*,<=*m*,<=*a*,<=*b*<=≤<=1000) — the number of rides Ann has planned, the number of rides covered by the *m* ride ticket, the price of a one ride ticket and the price of an *m* ride ticket.
Print a single integer — the minimum sum in rubles that Ann will need to spend.
[ "6 2 1 2\n", "5 2 2 3\n" ]
[ "6\n", "8\n" ]
In the first sample one of the optimal solutions is: each time buy a one ride ticket. There are other optimal solutions. For example, buy three *m* ride tickets.
[ { "input": "6 2 1 2", "output": "6" }, { "input": "5 2 2 3", "output": "8" }, { "input": "10 3 5 1", "output": "4" }, { "input": "1000 1 1000 1000", "output": "1000000" }, { "input": "1000 3 1000 1000", "output": "334000" }, { "input": "1 1 1 1", "...
46
0
0
82
454
Little Pony and Crystal Mine
[ "implementation" ]
null
null
Twilight Sparkle once got a crystal from the Crystal Mine. A crystal of size *n* (*n* is odd; *n*<=&gt;<=1) is an *n*<=×<=*n* matrix with a diamond inscribed into it. You are given an odd integer *n*. You need to draw a crystal of size *n*. The diamond cells of the matrix should be represented by character "D". All ot...
The only line contains an integer *n* (3<=≤<=*n*<=≤<=101; *n* is odd).
Output a crystal of size *n*.
[ "3\n", "5\n", "7\n" ]
[ "*D*\nDDD\n*D*\n", "**D**\n*DDD*\nDDDDD\n*DDD*\n**D**\n", "***D***\n**DDD**\n*DDDDD*\nDDDDDDD\n*DDDDD*\n**DDD**\n***D***\n" ]
none
[ { "input": "3", "output": "*D*\nDDD\n*D*" }, { "input": "5", "output": "**D**\n*DDD*\nDDDDD\n*DDD*\n**D**" }, { "input": "7", "output": "***D***\n**DDD**\n*DDDDD*\nDDDDDDD\n*DDDDD*\n**DDD**\n***D***" }, { "input": "11", "output": "*****D*****\n****DDD****\n***DDDDD***\n**...
109
0
3
83
194
Exams
[ "implementation", "math" ]
null
null
One day the Codeforces round author sat exams. He had *n* exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2. The author would need to spend too much time and effort to make the sum of his marks strictly more than *k*. That could ha...
The single input line contains space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=50, 1<=≤<=*k*<=≤<=250) — the number of exams and the required sum of marks. It is guaranteed that there exists a way to pass *n* exams in the way that makes the sum of marks equal exactly *k*.
Print the single number — the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal *k*.
[ "4 8\n", "4 10\n", "1 3\n" ]
[ "4\n", "2\n", "0\n" ]
In the first sample the author has to get a 2 for all his exams. In the second sample he should get a 3 for two exams and a 2 for two more. In the third sample he should get a 3 for one exam.
[ { "input": "4 8", "output": "4" }, { "input": "4 10", "output": "2" }, { "input": "1 3", "output": "0" }, { "input": "1 2", "output": "1" }, { "input": "4 9", "output": "3" }, { "input": "50 234", "output": "0" }, { "input": "50 100", "...
92
0
0
85
50
Choosing Symbol Pairs
[ "strings" ]
B. Choosing Symbol Pairs
2
256
There is a given string *S* consisting of *N* symbols. Your task is to find the number of ordered pairs of integers *i* and *j* such that 1. 1<=≤<=*i*,<=*j*<=≤<=*N* 2. *S*[*i*]<==<=*S*[*j*], that is the *i*-th symbol of string *S* is equal to the *j*-th.
The single input line contains *S*, consisting of lowercase Latin letters and digits. It is guaranteed that string *S* in not empty and its length does not exceed 105.
Print a single number which represents the number of pairs *i* and *j* with the needed property. Pairs (*x*,<=*y*) and (*y*,<=*x*) should be considered different, i.e. the ordered pairs count.
[ "great10\n", "aaaaaaaaaa\n" ]
[ "7\n", "100\n" ]
none
[ { "input": "great10", "output": "7" }, { "input": "aaaaaaaaaa", "output": "100" }, { "input": "great10", "output": "7" }, { "input": "aaaaaaaaaa", "output": "100" }, { "input": "aabb", "output": "8" }, { "input": "w", "output": "1" }, { "in...
2,000
307,200
0
86
431
Black Square
[ "implementation" ]
null
null
Quite recently, a very smart student named Jury decided that lectures are boring, so he downloaded a game called "Black Square" on his super cool touchscreen phone. In this game, the phone's screen is divided into four vertical strips. Each second, a black square appears on some of the strips. According to the rules o...
The first line contains four space-separated integers *a*1, *a*2, *a*3, *a*4 (0<=≤<=*a*1,<=*a*2,<=*a*3,<=*a*4<=≤<=104). The second line contains string *s* (1<=≤<=|*s*|<=≤<=105), where the *і*-th character of the string equals "1", if on the *i*-th second of the game the square appears on the first strip, "2", if it a...
Print a single integer — the total number of calories that Jury wastes.
[ "1 2 3 4\n123214\n", "1 5 3 2\n11221\n" ]
[ "13\n", "13\n" ]
none
[ { "input": "1 2 3 4\n123214", "output": "13" }, { "input": "1 5 3 2\n11221", "output": "13" }, { "input": "5 5 5 1\n3422", "output": "16" }, { "input": "4 3 2 1\n2", "output": "3" }, { "input": "5651 6882 6954 4733\n2442313421", "output": "60055" }, { ...
62
102,400
3
87
47
Coins
[ "implementation" ]
B. Coins
2
256
One day Vasya came across three Berland coins. They didn't have any numbers that's why Vasya didn't understand how their denominations differ. He supposed that if one coin is heavier than the other one, then it should be worth more. Vasya weighed all the three pairs of coins on pan balance scales and told you the resul...
The input data contains the results of all the weighting, one result on each line. It is guaranteed that every coin pair was weighted exactly once. Vasya labelled the coins with letters «A», «B» and «C». Each result is a line that appears as (letter)(&gt; or &lt; sign)(letter). For example, if coin "A" proved lighter t...
It the results are contradictory, print Impossible. Otherwise, print without spaces the rearrangement of letters «A», «B» and «C» which represent the coins in the increasing order of their weights.
[ "A&gt;B\nC&lt;B\nA&gt;C\n", "A&lt;B\nB&gt;C\nC&gt;A\n" ]
[ "CBA", "ACB" ]
none
[ { "input": "A>B\nC<B\nA>C", "output": "CBA" }, { "input": "A<B\nB>C\nC>A", "output": "ACB" }, { "input": "A<C\nB<A\nB>C", "output": "Impossible" }, { "input": "A<B\nA<C\nB>C", "output": "ACB" }, { "input": "B>A\nC<B\nC>A", "output": "ACB" }, { "input":...
62
6,656,000
0
88
124
The number of positions
[ "math" ]
null
null
Petr stands in line of *n* people, but he doesn't know exactly which position he occupies. He can say that there are no less than *a* people standing in front of him and no more than *b* people standing behind him. Find the number of different positions Petr can occupy.
The only line contains three integers *n*, *a* and *b* (0<=≤<=*a*,<=*b*<=&lt;<=*n*<=≤<=100).
Print the single number — the number of the sought positions.
[ "3 1 1\n", "5 2 3\n" ]
[ "2\n", "3\n" ]
The possible positions in the first sample are: 2 and 3 (if we number the positions starting with 1). In the second sample they are 3, 4 and 5.
[ { "input": "3 1 1", "output": "2" }, { "input": "5 2 3", "output": "3" }, { "input": "5 4 0", "output": "1" }, { "input": "6 5 5", "output": "1" }, { "input": "9 4 3", "output": "4" }, { "input": "11 4 6", "output": "7" }, { "input": "13 8 ...
92
0
0
90
652
Foe Pairs
[ "combinatorics", "sortings", "two pointers" ]
null
null
You are given a permutation *p* of length *n*. Also you are given *m* foe pairs (*a**i*,<=*b**i*) (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=*a**i*<=≠<=*b**i*). Your task is to count the number of different intervals (*x*,<=*y*) (1<=≤<=*x*<=≤<=*y*<=≤<=*n*) that do not contain any foe pairs. So you shouldn't count intervals (*x...
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=3·105) — the length of the permutation *p* and the number of foe pairs. The second line contains *n* distinct integers *p**i* (1<=≤<=*p**i*<=≤<=*n*) — the elements of the permutation *p*. Each of the next *m* lines contains two integers (*a**i*,<=*...
Print the only integer *c* — the number of different intervals (*x*,<=*y*) that does not contain any foe pairs. Note that the answer can be too large, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type.
[ "4 2\n1 3 2 4\n3 2\n2 4\n", "9 5\n9 7 2 3 1 4 6 5 8\n1 6\n4 5\n2 7\n7 2\n2 7\n" ]
[ "5\n", "20\n" ]
In the first example the intervals from the answer are (1, 1), (1, 2), (2, 2), (3, 3) and (4, 4).
[ { "input": "4 2\n1 3 2 4\n3 2\n2 4", "output": "5" }, { "input": "9 5\n9 7 2 3 1 4 6 5 8\n1 6\n4 5\n2 7\n7 2\n2 7", "output": "20" }, { "input": "2 1\n1 2\n1 2", "output": "2" }, { "input": "10 3\n4 10 5 1 6 8 9 2 3 7\n10 5\n2 10\n4 1", "output": "39" }, { "input"...
421
65,740,800
3
91
71
Way Too Long Words
[ "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 lik...
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
[ { "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":...
46
0
3.977
92
199
Hexadecimal's theorem
[ "brute force", "constructive algorithms", "implementation", "number theory" ]
null
null
Recently, a chaotic virus Hexadecimal advanced a new theorem which will shake the Universe. She thinks that each Fibonacci number can be represented as sum of three not necessary different Fibonacci numbers. Let's remember how Fibonacci numbers can be calculated. *F*0<==<=0, *F*1<==<=1, and all the next numbers are *F...
The input contains of a single integer *n* (0<=≤<=*n*<=&lt;<=109) — the number that should be represented by the rules described above. It is guaranteed that *n* is a Fibonacci number.
Output three required numbers: *a*, *b* and *c*. If there is no answer for the test you have to print "I'm too stupid to solve this problem" without the quotes. If there are multiple answers, print any of them.
[ "3\n", "13\n" ]
[ "1 1 1\n", "2 3 8\n" ]
none
[ { "input": "3", "output": "1 1 1" }, { "input": "13", "output": "2 3 8" }, { "input": "0", "output": "0 0 0" }, { "input": "1", "output": "1 0 0" }, { "input": "2", "output": "1 1 0" }, { "input": "1597", "output": "233 377 987" }, { "input...
122
0
0
93
1,003
Polycarp's Pockets
[ "implementation" ]
null
null
Polycarp has $n$ coins, the value of the $i$-th coin is $a_i$. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket. For example, if Polycarp has got six coins represented as an array $a = [1, 2, 4, 3, 3, 2]$, he can distribute the coins i...
The first line of the input contains one integer $n$ ($1 \le n \le 100$) — the number of coins. The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 100$) — values of coins.
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
[ "6\n1 2 4 3 3 2\n", "1\n100\n" ]
[ "2\n", "1\n" ]
none
[ { "input": "6\n1 2 4 3 3 2", "output": "2" }, { "input": "1\n100", "output": "1" }, { "input": "100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100...
46
0
3
94
99
Help Far Away Kingdom
[ "strings" ]
A. Help Far Away Kingdom
2
256
In a far away kingdom lived the King, the Prince, the Shoemaker, the Dressmaker and many other citizens. They lived happily until great trouble came into the Kingdom. The ACMers settled there. Most damage those strange creatures inflicted upon the kingdom was that they loved high precision numbers. As a result, the Ki...
The first line contains a single number to round up — the integer part (a non-empty set of decimal digits that do not start with 0 — with the exception of a case when the set consists of a single digit — in this case 0 can go first), then follows character «.» (a dot), and then follows the fractional part (any non-empt...
If the last number of the integer part is not equal to 9, print the rounded-up number without leading zeroes. Otherwise, print the message "GOTO Vasilisa." (without the quotes).
[ "0.0\n", "1.49\n", "1.50\n", "2.71828182845904523536\n", "3.14159265358979323846\n", "12345678901234567890.1\n", "123456789123456789.999\n" ]
[ "0", "1", "2", "3", "3", "12345678901234567890", "GOTO Vasilisa." ]
none
[ { "input": "0.0", "output": "0" }, { "input": "1.49", "output": "1" }, { "input": "1.50", "output": "2" }, { "input": "2.71828182845904523536", "output": "3" }, { "input": "3.14159265358979323846", "output": "3" }, { "input": "12345678901234567890.1", ...
154
6,758,400
0
95
632
The Smallest String Concatenation
[ "sortings", "strings" ]
null
null
You're given a list of *n* strings *a*1,<=*a*2,<=...,<=*a**n*. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest. Given the list of strings, output the lexicographically smallest concatenation.
The first line contains integer *n* — the number of strings (1<=≤<=*n*<=≤<=5·104). Each of the next *n* lines contains one string *a**i* (1<=≤<=|*a**i*|<=≤<=50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Print the only string *a* — the lexicographically smallest string concatenation.
[ "4\nabba\nabacaba\nbcd\ner\n", "5\nx\nxx\nxxa\nxxaa\nxxaaa\n", "3\nc\ncb\ncba\n" ]
[ "abacabaabbabcder\n", "xxaaaxxaaxxaxxx\n", "cbacbc\n" ]
none
[ { "input": "4\nabba\nabacaba\nbcd\ner", "output": "abacabaabbabcder" }, { "input": "5\nx\nxx\nxxa\nxxaa\nxxaaa", "output": "xxaaaxxaaxxaxxx" }, { "input": "3\nc\ncb\ncba", "output": "cbacbc" }, { "input": "10\naba\nabaaca\naba\nacaaaabbac\nabaacac\nb\ncabbcccaab\nbaacbb\nbcab...
280
2,150,400
3
96
926
Merge Equal Elements
[ "constructive algorithms", "data structures" ]
null
null
You are given a sequence of positive integers *a*1,<=*a*2,<=...,<=*a**n*. While possible, you perform the following operation: find a pair of equal consecutive elements. If there are more than one such pair, find the leftmost (with the smallest indices of elements). If the two integers are equal to *x*, delete both a...
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=2·105) — the number of elements in the sequence. The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109).
In the first line print a single integer *k* — the number of elements in the sequence after you stop performing the operation. In the second line print *k* integers — the sequence after you stop performing the operation.
[ "6\n5 2 1 1 2 2\n", "4\n1000000000 1000000000 1000000000 1000000000\n", "7\n4 10 22 11 12 5 6\n" ]
[ "2\n5 4 ", "1\n1000000002 ", "7\n4 10 22 11 12 5 6 " ]
The first example is described in the statements. In the second example the initial sequence is [1000000000, 1000000000, 1000000000, 1000000000]. After the first operation the sequence is equal to [1000000001, 1000000000, 1000000000]. After the second operation the sequence is [1000000001, 1000000001]. After the third...
[ { "input": "6\n5 2 1 1 2 2", "output": "2\n5 4 " }, { "input": "4\n1000000000 1000000000 1000000000 1000000000", "output": "1\n1000000002 " }, { "input": "7\n4 10 22 11 12 5 6", "output": "7\n4 10 22 11 12 5 6 " }, { "input": "2\n1 1", "output": "1\n2 " }, { "inpu...
374
18,022,400
3
97
214
Hometask
[ "brute force", "constructive algorithms", "greedy", "math" ]
null
null
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are given a set of digits, your task is to find the maximum integer that you can mak...
A single line contains a single integer *n* (1<=≤<=*n*<=≤<=100000) — the number of digits in the set. The second line contains *n* digits, the digits are separated by a single space.
On a single line print the answer to the problem. If such number does not exist, then you should print -1.
[ "1\n0\n", "11\n3 4 5 4 5 3 5 3 4 4 0\n", "8\n3 2 5 1 5 2 2 3\n" ]
[ "0\n", "5554443330\n", "-1\n" ]
In the first sample there is only one number you can make — 0. In the second sample the sought number is 5554443330. In the third sample it is impossible to make the required number.
[ { "input": "1\n0", "output": "0" }, { "input": "11\n3 4 5 4 5 3 5 3 4 4 0", "output": "5554443330" }, { "input": "8\n3 2 5 1 5 2 2 3", "output": "-1" }, { "input": "12\n5 3 3 3 2 5 5 1 2 1 4 1", "output": "-1" }, { "input": "8\n5 5 4 1 5 5 5 3", "output": "-1"...
218
12,185,600
0
99
987
Infinity Gauntlet
[ "implementation" ]
null
null
You took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infinity Gems: - the Power Gem of purple color, - the Time Gem of green color, - the Space Gem of blue color, - the Soul Gem of orange color, - the Reality Gem of red color, - the Mind Gem of yellow color. Using colors...
In the first line of input there is one integer $n$ ($0 \le n \le 6$) — the number of Gems in Infinity Gauntlet. In next $n$ lines there are colors of Gems you saw. Words used for colors are: purple, green, blue, orange, red, yellow. It is guaranteed that all the colors are distinct. All colors are given in lowercase ...
In the first line output one integer $m$ ($0 \le m \le 6$) — the number of absent Gems. Then in $m$ lines print the names of absent Gems, each on its own line. Words used for names are: Power, Time, Space, Soul, Reality, Mind. Names can be printed in any order. Keep the first letter uppercase, others lowercase.
[ "4\nred\npurple\nyellow\norange\n", "0\n" ]
[ "2\nSpace\nTime\n", "6\nTime\nMind\nSoul\nPower\nReality\nSpace\n" ]
In the first sample Thanos already has Reality, Power, Mind and Soul Gems, so he needs two more: Time and Space. In the second sample Thanos doesn't have any Gems, so he needs all six.
[ { "input": "4\nred\npurple\nyellow\norange", "output": "2\nSpace\nTime" }, { "input": "0", "output": "6\nMind\nSpace\nPower\nTime\nReality\nSoul" }, { "input": "6\npurple\nblue\nyellow\nred\ngreen\norange", "output": "0" }, { "input": "1\npurple", "output": "5\nTime\nReal...
46
0
3
100
279
Books
[ "binary search", "brute force", "implementation", "two pointers" ]
null
null
When Valera has got some free time, he goes to the library to read some books. Today he's got *t* free minutes to read. That's why Valera took *n* books in the library and for each book he estimated the time he is going to need to read it. Let's number the books by integers from 1 to *n*. Valera needs *a**i* minutes to...
The first line contains two integers *n* and *t* (1<=≤<=*n*<=≤<=105; 1<=≤<=*t*<=≤<=109) — the number of books and the number of free minutes Valera's got. The second line contains a sequence of *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=104), where number *a**i* shows the number of minutes that the boy n...
Print a single integer — the maximum number of books Valera can read.
[ "4 5\n3 1 2 1\n", "3 3\n2 2 3\n" ]
[ "3\n", "1\n" ]
none
[ { "input": "4 5\n3 1 2 1", "output": "3" }, { "input": "3 3\n2 2 3", "output": "1" }, { "input": "1 3\n5", "output": "0" }, { "input": "1 10\n4", "output": "1" }, { "input": "2 10\n6 4", "output": "2" }, { "input": "6 10\n2 3 4 2 1 1", "output": "4...
186
13,824,000
3
101
128
Statues
[ "dfs and similar" ]
null
null
In this task Anna and Maria play a game with a very unpleasant rival. Anna and Maria are in the opposite squares of a chessboard (8<=×<=8): Anna is in the upper right corner, and Maria is in the lower left one. Apart from them, the board has several statues. Each statue occupies exactly one square. A square that contai...
You are given the 8 strings whose length equals 8, describing the initial position on the board. The first line represents the top row of the board, the next one — for the second from the top, and so on, the last line represents the bottom row. Each character string matches a single cell board in the appropriate row, a...
If Maria wins, print string "WIN". If the statues win, print string "LOSE".
[ ".......A\n........\n........\n........\n........\n........\n........\nM.......\n", ".......A\n........\n........\n........\n........\n........\nSS......\nM.......\n", ".......A\n........\n........\n........\n........\n.S......\nS.......\nMS......\n" ]
[ "WIN\n", "LOSE\n", "LOSE\n" ]
none
[ { "input": ".SSSSSSA\n.SSSSSSS\n.SSSSSSS\n.SSSSSSS\n.SSSSSSS\n.SSSSSSS\n.SSSSSSS\nMSSSSSSS", "output": "WIN" }, { "input": "SSSSSSSA\nSSSSSSSS\nSSSSSSSS\nSSSSSSSS\nSSSSSSSS\nSSSSSSSS\nSSSSSSSS\nMSSSSSSS", "output": "LOSE" }, { "input": "SSSSSSSA\n......SS\n.......S\n.......S\n.......S\n....
62
0
0
102
474
Keyboard
[ "implementation" ]
null
null
Our good friend Mole is trying to code a big message. He is typing on an unusual keyboard with characters arranged in following way: Unfortunately Mole is blind, so sometimes it is problem for him to put his hands accurately. He accidentally moved both his hands with one position to the left or to the right. That mean...
First line of the input contains one letter describing direction of shifting ('L' or 'R' respectively for left or right). Second line contains a sequence of characters written by Mole. The size of this sequence will be no more than 100. Sequence contains only symbols that appear on Mole's keyboard. It doesn't contain ...
Print a line that contains the original message.
[ "R\ns;;upimrrfod;pbr\n" ]
[ "allyouneedislove\n" ]
none
[ { "input": "R\ns;;upimrrfod;pbr", "output": "allyouneedislove" }, { "input": "R\nwertyuiop;lkjhgfdsxcvbnm,.", "output": "qwertyuiolkjhgfdsazxcvbnm," }, { "input": "L\nzxcvbnm,kjhgfdsaqwertyuio", "output": "xcvbnm,.lkjhgfdswertyuiop" }, { "input": "R\nbubbuduppudup", "outp...
46
0
3
103
242
Big Segment
[ "implementation", "sortings" ]
null
null
A coordinate line has *n* segments, the *i*-th segment starts at the position *l**i* and ends at the position *r**i*. We will denote such a segment as [*l**i*,<=*r**i*]. You have suggested that one of the defined segments covers all others. In other words, there is such segment in the given set, which contains all oth...
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of segments. Next *n* lines contain the descriptions of the segments. The *i*-th line contains two space-separated integers *l**i*,<=*r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=109) — the borders of the *i*-th segment. It is guaranteed that no two segments c...
Print a single integer — the number of the segment that covers all other segments in the set. If there's no solution, print -1. The segments are numbered starting from 1 in the order in which they appear in the input.
[ "3\n1 1\n2 2\n3 3\n", "6\n1 5\n2 3\n1 10\n7 10\n7 7\n10 10\n" ]
[ "-1\n", "3\n" ]
none
[ { "input": "3\n1 1\n2 2\n3 3", "output": "-1" }, { "input": "6\n1 5\n2 3\n1 10\n7 10\n7 7\n10 10", "output": "3" }, { "input": "4\n1 5\n2 2\n2 4\n2 5", "output": "1" }, { "input": "5\n3 3\n1 3\n2 2\n2 3\n1 2", "output": "2" }, { "input": "7\n7 7\n8 8\n3 7\n1 6\n1 ...
2,000
9,523,200
0
104
276
Little Girl and Maximum Sum
[ "data structures", "greedy", "implementation", "sortings" ]
null
null
The little girl loves the problems on array queries very much. One day she came across a rather well-known problem: you've got an array of $n$ elements (the elements of the array are indexed starting from 1); also, there are $q$ queries, each one is defined by a pair of integers $l_i$, $r_i$ $(1 \le l_i \le r_i \le n)...
The first line contains two space-separated integers $n$ ($1 \le n \le 2\cdot10^5$) and $q$ ($1 \le q \le 2\cdot10^5$) — the number of elements in the array and the number of queries, correspondingly. The next line contains $n$ space-separated integers $a_i$ ($1 \le a_i \le 2\cdot10^5$) — the array elements. Each of ...
In a single line print, a single integer — the maximum sum of query replies after the array elements are reordered. Please, do not use the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.
[ "3 3\n5 3 2\n1 2\n2 3\n1 3\n", "5 3\n5 2 4 1 3\n1 5\n2 3\n2 3\n" ]
[ "25\n", "33\n" ]
none
[ { "input": "3 3\n5 3 2\n1 2\n2 3\n1 3", "output": "25" }, { "input": "5 3\n5 2 4 1 3\n1 5\n2 3\n2 3", "output": "33" }, { "input": "34 21\n23 38 16 49 44 50 48 34 33 19 18 31 11 15 20 47 44 30 39 33 45 46 1 13 27 16 31 36 17 23 38 5 30 16\n8 16\n14 27\n8 26\n1 8\n5 6\n23 28\n4 33\n13 30\...
1,000
18,534,400
0
105
369
Valera and Elections
[ "dfs and similar", "graphs", "trees" ]
null
null
The city Valera lives in is going to hold elections to the city Parliament. The city has *n* districts and *n*<=-<=1 bidirectional roads. We know that from any district there is a path along the roads to any other district. Let's enumerate all districts in some way by integers from 1 to *n*, inclusive. Furthermore, fo...
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=105) — the number of districts in the city. Then *n*<=-<=1 lines follow. Each line contains the description of a city road as three positive integers *x**i*, *y**i*, *t**i* (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*, 1<=≤<=*t**i*<=≤<=2) — the districts connected by the *...
In the first line print a single non-negative number *k* — the minimum size of the required subset of candidates. Then on the second line print *k* space-separated integers *a*1,<=*a*2,<=... *a**k* — the numbers of the candidates that form the required subset. If there are multiple solutions, you are allowed to print a...
[ "5\n1 2 2\n2 3 2\n3 4 2\n4 5 2\n", "5\n1 2 1\n2 3 2\n2 4 1\n4 5 1\n", "5\n1 2 2\n1 3 2\n1 4 2\n1 5 2\n" ]
[ "1\n5 \n", "1\n3 \n", "4\n5 4 3 2 \n" ]
none
[ { "input": "5\n1 2 2\n2 3 2\n3 4 2\n4 5 2", "output": "1\n5 " }, { "input": "5\n1 2 1\n2 3 2\n2 4 1\n4 5 1", "output": "1\n3 " }, { "input": "5\n1 2 2\n1 3 2\n1 4 2\n1 5 2", "output": "4\n5 4 3 2 " }, { "input": "5\n1 5 1\n5 4 2\n4 3 1\n3 2 2", "output": "1\n2 " }, { ...
373
5,427,200
-1
106
760
Petr and a calendar
[ "implementation", "math" ]
null
null
Petr wants to make a calendar for current month. For this purpose he draws a table in which columns correspond to weeks (a week is seven consequent days from Monday to Sunday), rows correspond to weekdays, and cells contain dates. For example, a calendar for January 2017 should look like on the picture: Petr wants to ...
The only line contain two integers *m* and *d* (1<=≤<=*m*<=≤<=12, 1<=≤<=*d*<=≤<=7) — the number of month (January is the first month, December is the twelfth) and the weekday of the first date of this month (1 is Monday, 7 is Sunday).
Print single integer: the number of columns the table should have.
[ "1 7\n", "1 1\n", "11 6\n" ]
[ "6\n", "5\n", "5\n" ]
The first example corresponds to the January 2017 shown on the picture in the statements. In the second example 1-st January is Monday, so the whole month fits into 5 columns. In the third example 1-st November is Saturday and 5 columns is enough.
[ { "input": "1 7", "output": "6" }, { "input": "1 1", "output": "5" }, { "input": "11 6", "output": "5" }, { "input": "2 7", "output": "5" }, { "input": "2 1", "output": "4" }, { "input": "8 6", "output": "6" }, { "input": "1 1", "output...
108
6,758,400
3
107
733
Grasshopper And the String
[ "implementation" ]
null
null
One day, the Grasshopper was jumping on the lawn and found a piece of paper with a string. Grasshopper became interested what is the minimum jump ability he should have in order to be able to reach the far end of the string, jumping only on vowels of the English alphabet. Jump ability is the maximum possible length of ...
The first line contains non-empty string consisting of capital English letters. It is guaranteed that the length of the string does not exceed 100.
Print single integer *a* — the minimum jump ability of the Grasshopper (in the number of symbols) that is needed to overcome the given string, jumping only on vowels.
[ "ABABBBACFEYUKOTT\n", "AAA\n" ]
[ "4", "1" ]
none
[ { "input": "ABABBBACFEYUKOTT", "output": "4" }, { "input": "AAA", "output": "1" }, { "input": "A", "output": "1" }, { "input": "B", "output": "2" }, { "input": "AEYUIOAEIYAEOUIYOEIUYEAOIUEOEAYOEIUYAEOUIYEOIKLMJNHGTRWSDZXCVBNMHGFDSXVWRTPPPLKMNBXIUOIUOIUOIUOOIU", ...
156
0
3
108