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Difference Row
[ "constructive algorithms", "implementation", "sortings" ]
null
null
You want to arrange *n* integers *a*1,<=*a*2,<=...,<=*a**n* in some order in a row. Let's define the value of an arrangement as the sum of differences between all pairs of adjacent integers. More formally, let's denote some arrangement as a sequence of integers *x*1,<=*x*2,<=...,<=*x**n*, where sequence *x* is a permu...
The first line of the input contains integer *n* (2<=≀<=*n*<=≀<=100). The second line contains *n* space-separated integers *a*1, *a*2, ..., *a**n* (|*a**i*|<=≀<=1000).
Print the required sequence *x*1,<=*x*2,<=...,<=*x**n*. Sequence *x* should be the lexicographically smallest permutation of *a* that corresponds to an arrangement of the largest possible value.
[ "5\n100 -100 50 0 -50\n" ]
[ "100 -50 0 50 -100 \n" ]
In the sample test case, the value of the output arrangement is (100 - ( - 50)) + (( - 50) - 0) + (0 - 50) + (50 - ( - 100)) = 200. No other arrangement has a larger value, and among all arrangements with the value of 200, the output arrangement is the lexicographically smallest one. Sequence *x*<sub class="lower-inde...
[ { "input": "5\n100 -100 50 0 -50", "output": "100 -50 0 50 -100 " }, { "input": "10\n764 -367 0 963 -939 -795 -26 -49 948 -282", "output": "963 -795 -367 -282 -49 -26 0 764 948 -939 " }, { "input": "20\n262 -689 -593 161 -678 -555 -633 -697 369 258 673 50 833 737 -650 198 -651 -621 -396 ...
248
0
3
108
230
T-primes
[ "binary search", "implementation", "math", "number theory" ]
null
null
We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer *t* Π’-prime, if *t* has exactly three distinct positive divisors. You are given an array of *n* positive integers. For each of them determine whether it is Π’-prime or not.
The first line contains a single positive integer, *n* (1<=≀<=*n*<=≀<=105), showing how many numbers are in the array. The next line contains *n* space-separated integers *x**i* (1<=≀<=*x**i*<=≀<=1012). Please, do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is advised to use the cin, cout st...
Print *n* lines: the *i*-th line should contain "YES" (without the quotes), if number *x**i* is Π’-prime, and "NO" (without the quotes), if it isn't.
[ "3\n4 5 6\n" ]
[ "YES\nNO\nNO\n" ]
The given test has three numbers. The first number 4 has exactly three divisors β€” 1, 2 and 4, thus the answer for this number is "YES". The second number 5 has two divisors (1 and 5), and the third number 6 has four divisors (1, 2, 3, 6), hence the answer for them is "NO".
[ { "input": "3\n4 5 6", "output": "YES\nNO\nNO" }, { "input": "2\n48 49", "output": "NO\nYES" }, { "input": "10\n10 9 8 7 6 5 4 3 2 1", "output": "NO\nYES\nNO\nNO\nNO\nNO\nYES\nNO\nNO\nNO" }, { "input": "1\n36", "output": "NO" }, { "input": "1\n999966000289", "...
2,000
14,336,000
0
109
376
Lever
[ "implementation", "math" ]
null
null
You have a description of a lever as string *s*. We'll represent the string length as record |*s*|, then the lever looks as a horizontal bar with weights of length |*s*|<=-<=1 with exactly one pivot. We will assume that the bar is a segment on the *Ox* axis between points 0 and |*s*|<=-<=1. The decoding of the lever d...
The first line contains the lever description as a non-empty string *s* (3<=≀<=|*s*|<=≀<=106), consisting of digits (1-9) and characters "^" and "=". It is guaranteed that the line contains exactly one character "^". It is guaranteed that the pivot of the lever isn't located in any end of the lever bar. To solve the p...
Print "left" if the given lever tilts to the left, "right" if it tilts to the right and "balance", if it is in balance.
[ "=^==\n", "9===^==1\n", "2==^7==\n", "41^52==\n" ]
[ "balance\n", "left\n", "right\n", "balance\n" ]
As you solve the problem, you may find the following link useful to better understand how a lever functions: http://en.wikipedia.org/wiki/Lever. The pictures to the examples:
[ { "input": "=^==", "output": "balance" }, { "input": "9===^==1", "output": "left" }, { "input": "2==^7==", "output": "right" }, { "input": "41^52==", "output": "balance" }, { "input": "=^2=4=1===1=", "output": "right" }, { "input": "9=6===5==3=9=1=1^7=...
124
20,172,800
0
110
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) β€” the length of the ticket number that needs to be checked. The second line contains an integer whose length equals exactly *n* β€” 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" }, ...
218
307,200
3
111
260
Adding Digits
[ "implementation", "math" ]
null
null
Vasya has got two number: *a* and *b*. However, Vasya finds number *a* too short. So he decided to repeat the operation of lengthening number *a* *n* times. One operation of lengthening a number means adding exactly one digit to the number (in the decimal notation) to the right provided that the resulting number is di...
The first line contains three integers: *a*,<=*b*,<=*n* (1<=≀<=*a*,<=*b*,<=*n*<=≀<=105).
In a single line print the integer without leading zeros, which Vasya can get when he applies the lengthening operations to number *a* *n* times. If no such number exists, then print number -1. If there are multiple possible answers, print any of them.
[ "5 4 5\n", "12 11 1\n", "260 150 10\n" ]
[ "524848\n", "121\n", "-1\n" ]
none
[ { "input": "5 4 5", "output": "524848" }, { "input": "12 11 1", "output": "121" }, { "input": "260 150 10", "output": "-1" }, { "input": "78843 5684 42717", "output": "-1" }, { "input": "93248 91435 1133", "output": "-1" }, { "input": "100000 10 64479"...
2,000
1,126,400
0
112
112
Petya and Strings
[ "implementation", "strings" ]
A. Petya and Strings
2
256
Little Petya loves presents. His mum bought him two strings of the same size for his birthday. The strings consist of uppercase and lowercase Latin letters. Now Petya wants to compare those two strings lexicographically. The letters' case does not matter, that is an uppercase letter is considered equivalent to the corr...
Each of the first two lines contains a bought string. The strings' lengths range from 1 to 100 inclusive. It is guaranteed that the strings are of the same length and also consist of uppercase and lowercase Latin letters.
If the first string is less than the second one, print "-1". If the second string is less than the first one, print "1". If the strings are equal, print "0". Note that the letters' case is not taken into consideration when the strings are compared.
[ "aaaa\naaaA\n", "abs\nAbz\n", "abcdefg\nAbCdEfF\n" ]
[ "0\n", "-1\n", "1\n" ]
If you want more formal information about the lexicographical order (also known as the "dictionary order" or "alphabetical order"), you can visit the following site: - http://en.wikipedia.org/wiki/Lexicographical_order
[ { "input": "aaaa\naaaA", "output": "0" }, { "input": "abs\nAbz", "output": "-1" }, { "input": "abcdefg\nAbCdEfF", "output": "1" }, { "input": "asadasdasd\nasdwasdawd", "output": "-1" }, { "input": "aslkjlkasdd\nasdlkjdajwi", "output": "1" }, { "input":...
184
0
3.954
113
588
Duff in Love
[ "math" ]
null
null
Duff is in love with lovely numbers! A positive integer *x* is called lovely if and only if there is no such positive integer *a*<=&gt;<=1 such that *a*2 is a divisor of *x*. Malek has a number store! In his store, he has only divisors of positive integer *n* (and he has all of them). As a birthday present, Malek want...
The first and only line of input contains one integer, *n* (1<=≀<=*n*<=≀<=1012).
Print the answer in one line.
[ "10\n", "12\n" ]
[ "10\n", "6\n" ]
In first sample case, there are numbers 1, 2, 5 and 10 in the shop. 10 isn't divisible by any perfect square, so 10 is lovely. In second sample case, there are numbers 1, 2, 3, 4, 6 and 12 in the shop. 12 is divisible by 4 = 2<sup class="upper-index">2</sup>, so 12 is not lovely, while 6 is indeed lovely.
[ { "input": "10", "output": "10" }, { "input": "12", "output": "6" }, { "input": "1", "output": "1" }, { "input": "2", "output": "2" }, { "input": "4", "output": "2" }, { "input": "8", "output": "2" }, { "input": "3", "output": "3" }, ...
2,000
0
0
114
678
Johny Likes Numbers
[ "implementation", "math" ]
null
null
Johny likes numbers *n* and *k* very much. Now Johny wants to find the smallest integer *x* greater than *n*, so it is divisible by the number *k*.
The only line contains two integers *n* and *k* (1<=≀<=*n*,<=*k*<=≀<=109).
Print the smallest integer *x*<=&gt;<=*n*, so it is divisible by the number *k*.
[ "5 3\n", "25 13\n", "26 13\n" ]
[ "6\n", "26\n", "39\n" ]
none
[ { "input": "5 3", "output": "6" }, { "input": "25 13", "output": "26" }, { "input": "26 13", "output": "39" }, { "input": "1 1", "output": "2" }, { "input": "8 8", "output": "16" }, { "input": "14 15", "output": "15" }, { "input": "197 894"...
77
6,758,400
3
115
514
Chewbaсca and Number
[ "greedy", "implementation" ]
null
null
Luke Skywalker gave Chewbacca an integer number *x*. Chewbacca isn't good at numbers but he loves inverting digits in them. Inverting digit *t* means replacing it with digit 9<=-<=*t*. Help Chewbacca to transform the initial number *x* to the minimum possible positive number by inverting some (possibly, zero) digits....
The first line contains a single integer *x* (1<=≀<=*x*<=≀<=1018) β€” the number that Luke Skywalker gave to Chewbacca.
Print the minimum possible positive number that Chewbacca can obtain after inverting some digits. The number shouldn't contain leading zeroes.
[ "27\n", "4545\n" ]
[ "22\n", "4444\n" ]
none
[ { "input": "27", "output": "22" }, { "input": "4545", "output": "4444" }, { "input": "1", "output": "1" }, { "input": "9", "output": "9" }, { "input": "8772", "output": "1222" }, { "input": "81", "output": "11" }, { "input": "71723447", ...
46
0
3
117
335
Buy One, Get One Free
[ "dp", "greedy" ]
null
null
A nearby pie shop is having a special sale. For each pie you pay full price for, you may select one pie of a strictly lesser value to get for free. Given the prices of all the pies you wish to acquire, determine the minimum total amount you must pay for all of the pies.
Input will begin with an integer *n* (1<=≀<=*n*<=≀<=500000), the number of pies you wish to acquire. Following this is a line with *n* integers, each indicating the cost of a pie. All costs are positive integers not exceeding 109.
Print the minimum cost to acquire all the pies. Please, do not use the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier.
[ "6\n3 4 5 3 4 5\n", "5\n5 5 5 5 5\n", "4\n309999 6000 2080 2080\n" ]
[ "14\n", "25\n", "314159\n" ]
In the first test case you can pay for a pie with cost 5 and get a pie with cost 4 for free, then pay for a pie with cost 5 and get a pie with cost 3 for free, then pay for a pie with cost 4 and get a pie with cost 3 for free. In the second test case you have to pay full price for every pie.
[ { "input": "6\n3 4 5 3 4 5", "output": "14" }, { "input": "5\n5 5 5 5 5", "output": "25" }, { "input": "4\n309999 6000 2080 2080", "output": "314159" }, { "input": "10\n1 1 1 1 1 2 3 4 5 6", "output": "16" }, { "input": "1\n1", "output": "1" }, { "inpu...
5,000
42,393,600
0
118
870
Maximum splitting
[ "dp", "greedy", "math", "number theory" ]
null
null
You are given several queries. In the *i*-th query you are given a single positive integer *n**i*. You are to represent *n**i* as a sum of maximum possible number of composite summands and print this maximum number, or print -1, if there are no such splittings. An integer greater than 1 is composite, if it is not prim...
The first line contains single integer *q* (1<=≀<=*q*<=≀<=105)Β β€” the number of queries. *q* lines follow. The (*i*<=+<=1)-th line contains single integer *n**i* (1<=≀<=*n**i*<=≀<=109)Β β€” the *i*-th query.
For each query print the maximum possible number of summands in a valid splitting to composite summands, or -1, if there are no such splittings.
[ "1\n12\n", "2\n6\n8\n", "3\n1\n2\n3\n" ]
[ "3\n", "1\n2\n", "-1\n-1\n-1\n" ]
12 = 4 + 4 + 4 = 4 + 8 = 6 + 6 = 12, but the first splitting has the maximum possible number of summands. 8 = 4 + 4, 6 can't be split into several composite summands. 1, 2, 3 are less than any composite number, so they do not have valid splittings.
[ { "input": "1\n12", "output": "3" }, { "input": "2\n6\n8", "output": "1\n2" }, { "input": "3\n1\n2\n3", "output": "-1\n-1\n-1" }, { "input": "6\n1\n2\n3\n5\n7\n11", "output": "-1\n-1\n-1\n-1\n-1\n-1" }, { "input": "3\n4\n6\n9", "output": "1\n1\n1" }, { ...
77
17,715,200
0
119
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* β€” 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...
124
0
3.969
120
633
Ebony and Ivory
[ "brute force", "math", "number theory" ]
null
null
Dante is engaged in a fight with "The Savior". Before he can fight it with his sword, he needs to break its shields. He has two guns, Ebony and Ivory, each of them is able to perform any non-negative number of shots. For every bullet that hits the shield, Ebony deals *a* units of damage while Ivory deals *b* units of ...
The first line of the input contains three integers *a*, *b*, *c* (1<=≀<=*a*,<=*b*<=≀<=100,<=1<=≀<=*c*<=≀<=10<=000)Β β€” the number of units of damage dealt by Ebony gun and Ivory gun, and the total number of damage required to break the shield, respectively.
Print "Yes" (without quotes) if Dante can deal exactly *c* damage to the shield and "No" (without quotes) otherwise.
[ "4 6 15\n", "3 2 7\n", "6 11 6\n" ]
[ "No\n", "Yes\n", "Yes\n" ]
In the second sample, Dante can fire 1 bullet from Ebony and 2 from Ivory to deal exactly 1Β·3 + 2Β·2 = 7 damage. In the third sample, Dante can fire 1 bullet from ebony and no bullets from ivory to do 1Β·6 + 0Β·11 = 6 damage.
[ { "input": "4 6 15", "output": "No" }, { "input": "3 2 7", "output": "Yes" }, { "input": "6 11 6", "output": "Yes" }, { "input": "3 12 15", "output": "Yes" }, { "input": "5 5 10", "output": "Yes" }, { "input": "6 6 7", "output": "No" }, { "...
62
0
-1
121
313
Ilya and Queries
[ "dp", "implementation" ]
null
null
Ilya the Lion wants to help all his friends with passing exams. They need to solve the following problem to pass the IT exam. You've got string *s*<==<=*s*1*s*2... *s**n* (*n* is the length of the string), consisting only of characters "." and "#" and *m* queries. Each query is described by a pair of integers *l**i*,<...
The first line contains string *s* of length *n* (2<=≀<=*n*<=≀<=105). It is guaranteed that the given string only consists of characters "." and "#". The next line contains integer *m* (1<=≀<=*m*<=≀<=105) β€” the number of queries. Each of the next *m* lines contains the description of the corresponding query. The *i*-t...
Print *m* integers β€” the answers to the queries in the order in which they are given in the input.
[ "......\n4\n3 4\n2 3\n1 6\n2 6\n", "#..###\n5\n1 3\n5 6\n1 5\n3 6\n3 4\n" ]
[ "1\n1\n5\n4\n", "1\n1\n2\n2\n0\n" ]
none
[ { "input": "......\n4\n3 4\n2 3\n1 6\n2 6", "output": "1\n1\n5\n4" }, { "input": "#..###\n5\n1 3\n5 6\n1 5\n3 6\n3 4", "output": "1\n1\n2\n2\n0" }, { "input": ".#...#..\n6\n1 5\n2 3\n6 7\n2 4\n2 5\n1 3", "output": "2\n0\n0\n1\n2\n0" }, { "input": "#.#.#..\n5\n3 4\n4 5\n5 7\n5...
2,000
102,400
0
123
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)Β β€” 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
0
3
125
519
A and B and Compilation Errors
[ "data structures", "implementation", "sortings" ]
null
null
A and B are preparing themselves for programming contests. B loves to debug his code. But before he runs the solution and starts debugging, he has to first compile the code. Initially, the compiler displayed *n* compilation errors, each of them is represented as a positive integer. After some effort, B managed to fix...
The first line of the input contains integer *n* (3<=≀<=*n*<=≀<=105) β€” the initial number of compilation errors. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=109) β€” the errors the compiler displayed for the first time. The third line contains *n*<=-<=1 space-sepa...
Print two numbers on a single line: the numbers of the compilation errors that disappeared after B made the first and the second correction, respectively.
[ "5\n1 5 8 123 7\n123 7 5 1\n5 1 7\n", "6\n1 4 3 3 5 7\n3 7 5 4 3\n4 3 7 5\n" ]
[ "8\n123\n", "1\n3\n" ]
In the first test sample B first corrects the error number 8, then the error number 123. In the second test sample B first corrects the error number 1, then the error number 3. Note that if there are multiple errors with the same number, B can correct only one of them in one step.
[ { "input": "5\n1 5 8 123 7\n123 7 5 1\n5 1 7", "output": "8\n123" }, { "input": "6\n1 4 3 3 5 7\n3 7 5 4 3\n4 3 7 5", "output": "1\n3" }, { "input": "3\n1 2 3\n3 2\n2", "output": "1\n3" }, { "input": "10\n460626451 802090732 277246428 661369649 388684428 784303821 376287098 6...
31
0
-1
126
688
Opponents
[ "implementation" ]
null
null
Arya has *n* opponents in the school. Each day he will fight with all opponents who are present this day. His opponents have some fighting plan that guarantees they will win, but implementing this plan requires presence of them all. That means if one day at least one of Arya's opponents is absent at the school, then Ar...
The first line of the input contains two integers *n* and *d* (1<=≀<=*n*,<=*d*<=≀<=100)Β β€” the number of opponents and the number of days, respectively. The *i*-th of the following *d* lines contains a string of length *n* consisting of characters '0' and '1'. The *j*-th character of this string is '0' if the *j*-th op...
Print the only integerΒ β€” the maximum number of consecutive days that Arya will beat all present opponents.
[ "2 2\n10\n00\n", "4 1\n0100\n", "4 5\n1101\n1111\n0110\n1011\n1111\n" ]
[ "2\n", "1\n", "2\n" ]
In the first and the second samples, Arya will beat all present opponents each of the *d* days. In the third sample, Arya will beat his opponents on days 1, 3 and 4 and his opponents will beat him on days 2 and 5. Thus, the maximum number of consecutive winning days is 2, which happens on days 3 and 4.
[ { "input": "2 2\n10\n00", "output": "2" }, { "input": "4 1\n0100", "output": "1" }, { "input": "4 5\n1101\n1111\n0110\n1011\n1111", "output": "2" }, { "input": "3 2\n110\n110", "output": "2" }, { "input": "10 6\n1111111111\n0100110101\n1111111111\n0000011010\n1111...
30
0
0
127
102
Sum of Digits
[ "implementation" ]
B. Sum of Digits
2
265
Having watched the last Harry Potter film, little Gerald also decided to practice magic. He found in his father's magical book a spell that turns any number in the sum of its digits. At the moment Gerald learned that, he came across a number *n*. How many times can Gerald put a spell on it until the number becomes one-...
The first line contains the only integer *n* (0<=≀<=*n*<=≀<=10100000). It is guaranteed that *n* doesn't contain any leading zeroes.
Print the number of times a number can be replaced by the sum of its digits until it only contains one digit.
[ "0\n", "10\n", "991\n" ]
[ "0\n", "1\n", "3\n" ]
In the first sample the number already is one-digit β€” Herald can't cast a spell. The second test contains number 10. After one casting of a spell it becomes 1, and here the process is completed. Thus, Gerald can only cast the spell once. The third test contains number 991. As one casts a spell the following transform...
[ { "input": "0", "output": "0" }, { "input": "10", "output": "1" }, { "input": "991", "output": "3" }, { "input": "99", "output": "2" }, { "input": "100", "output": "1" }, { "input": "123456789", "output": "2" }, { "input": "32", "output...
278
8,089,600
3.915944
129
455
Boredom
[ "dp" ]
null
null
Alex doesn't like boredom. That's why whenever he gets bored, he comes up with games. One long winter evening he came up with a game and decided to play it. Given a sequence *a* consisting of *n* integers. The player can make several steps. In a single step he can choose an element of the sequence (let's denote it *a*...
The first line contains integer *n* (1<=≀<=*n*<=≀<=105) that shows how many numbers are in Alex's sequence. The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≀<=*a**i*<=≀<=105).
Print a single integer β€” the maximum number of points that Alex can earn.
[ "2\n1 2\n", "3\n1 2 3\n", "9\n1 2 1 3 2 2 2 2 3\n" ]
[ "2\n", "4\n", "10\n" ]
Consider the third test example. At first step we need to choose any element equal to 2. After that step our sequence looks like this [2, 2, 2, 2]. Then we do 4 steps, on each step we choose any element equals to 2. In total we earn 10 points.
[ { "input": "2\n1 2", "output": "2" }, { "input": "3\n1 2 3", "output": "4" }, { "input": "9\n1 2 1 3 2 2 2 2 3", "output": "10" }, { "input": "5\n3 3 4 5 4", "output": "11" }, { "input": "5\n5 3 5 3 4", "output": "16" }, { "input": "5\n4 2 3 2 5", ...
93
13,414,400
3
130
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) β€” 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) β€” the borders of the *i*-th segment. It is guaranteed that no two segments c...
Print a single integer β€” 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 ...
998
9,420,800
3
131
90
Cableway
[ "greedy", "math" ]
A. Cableway
2
256
A group of university students wants to get to the top of a mountain to have a picnic there. For that they decided to use a cableway. A cableway is represented by some cablecars, hanged onto some cable stations by a cable. A cable is scrolled cyclically between the first and the last cable stations (the first of them ...
The first line contains three integers *r*, *g* and *b* (0<=≀<=*r*,<=*g*,<=*b*<=≀<=100). It is guaranteed that *r*<=+<=*g*<=+<=*b*<=&gt;<=0, it means that the group consists of at least one student.
Print a single number β€” the minimal time the students need for the whole group to ascend to the top of the mountain.
[ "1 3 2\n", "3 2 1\n" ]
[ "34", "33" ]
Let's analyze the first sample. At the moment of time 0 a red cablecar comes and one student from the *r* group get on it and ascends to the top at the moment of time 30. At the moment of time 1 a green cablecar arrives and two students from the *g* group get on it; they get to the top at the moment of time 31. At t...
[ { "input": "1 3 2", "output": "34" }, { "input": "3 2 1", "output": "33" }, { "input": "3 5 2", "output": "37" }, { "input": "10 10 10", "output": "44" }, { "input": "29 7 24", "output": "72" }, { "input": "28 94 13", "output": "169" }, { "...
218
6,656,000
3.933102
132
961
Lecture Sleep
[ "data structures", "dp", "implementation", "two pointers" ]
null
null
Your friend Mishka and you attend a calculus lecture. Lecture lasts *n* minutes. Lecturer tells *a**i* theorems during the *i*-th minute. Mishka is really interested in calculus, though it is so hard to stay awake for all the time of lecture. You are given an array *t* of Mishka's behavior. If Mishka is asleep during ...
The first line of the input contains two integer numbers *n* and *k* (1<=≀<=*k*<=≀<=*n*<=≀<=105) β€” the duration of the lecture in minutes and the number of minutes you can keep Mishka awake. The second line of the input contains *n* integer numbers *a*1,<=*a*2,<=... *a**n* (1<=≀<=*a**i*<=≀<=104) β€” the number of theore...
Print only one integer β€” the maximum number of theorems Mishka will be able to write down if you use your technique only once to wake him up.
[ "6 3\n1 3 5 2 5 4\n1 1 0 1 0 0\n" ]
[ "16\n" ]
In the sample case the better way is to use the secret technique at the beginning of the third minute. Then the number of theorems Mishka will be able to write down will be equal to 16.
[ { "input": "6 3\n1 3 5 2 5 4\n1 1 0 1 0 0", "output": "16" }, { "input": "5 3\n1 9999 10000 10000 10000\n0 0 0 0 0", "output": "30000" }, { "input": "3 3\n10 10 10\n1 1 0", "output": "30" }, { "input": "1 1\n423\n0", "output": "423" }, { "input": "6 6\n1 3 5 2 5 4...
1,000
26,112,000
0
133
371
K-Periodic Array
[ "greedy", "implementation", "math" ]
null
null
This task will exclusively concentrate only on the arrays where all elements equal 1 and/or 2. Array *a* is *k*-period if its length is divisible by *k* and there is such array *b* of length *k*, that *a* is represented by array *b* written exactly times consecutively. In other words, array *a* is *k*-periodic, if it...
The first line of the input contains a pair of integers *n*, *k* (1<=≀<=*k*<=≀<=*n*<=≀<=100), where *n* is the length of the array and the value *n* is divisible by *k*. The second line contains the sequence of elements of the given array *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=2), *a**i* is the *i*-th element of ...
Print the minimum number of array elements we need to change to make the array *k*-periodic. If the array already is *k*-periodic, then print 0.
[ "6 2\n2 1 2 2 2 1\n", "8 4\n1 1 2 1 1 1 2 1\n", "9 3\n2 1 1 1 2 1 1 1 2\n" ]
[ "1\n", "0\n", "3\n" ]
In the first sample it is enough to change the fourth element from 2 to 1, then the array changes to [2, 1, 2, 1, 2, 1]. In the second sample, the given array already is 4-periodic. In the third sample it is enough to replace each occurrence of number two by number one. In this case the array will look as [1, 1, 1, 1...
[ { "input": "6 2\n2 1 2 2 2 1", "output": "1" }, { "input": "8 4\n1 1 2 1 1 1 2 1", "output": "0" }, { "input": "9 3\n2 1 1 1 2 1 1 1 2", "output": "3" }, { "input": "1 1\n2", "output": "0" }, { "input": "2 1\n1 1", "output": "0" }, { "input": "2 2\n2 2...
109
0
0
134
523
Rotate, Flip and Zoom
[ "*special", "implementation" ]
null
null
Polycarp is writing the prototype of a graphic editor. He has already made up his mind that the basic image transformations in his editor will be: rotate the image 90 degrees clockwise, flip the image horizontally (symmetry relative to the vertical line, that is, the right part of the image moves to the left, and vice ...
The first line contains two integers, *w* and *h* (1<=≀<=*w*,<=*h*<=≀<=100) β€” the width and height of an image in pixels. The picture is given in *h* lines, each line contains *w* characters β€” each character encodes the color of the corresponding pixel of the image. The line consists only of characters "." and "*", as ...
Print 2*w* lines, each containing 2*h* characters β€” the result of consecutive implementing of the three transformations, described above.
[ "3 2\n.*.\n.*.\n", "9 20\n**.......\n****.....\n******...\n*******..\n..******.\n....****.\n......***\n*.....***\n*********\n*********\n*********\n*********\n....**...\n...****..\n..******.\n.********\n****..***\n***...***\n**.....**\n*.......*\n" ]
[ "....\n....\n****\n****\n....\n....\n", "********......**********........********\n********......**********........********\n********........********......********..\n********........********......********..\n..********......********....********....\n..********......********....********....\n..********......*****...
none
[ { "input": "3 2\n.*.\n.*.", "output": "....\n....\n****\n****\n....\n...." }, { "input": "9 20\n**.......\n****.....\n******...\n*******..\n..******.\n....****.\n......***\n*.....***\n*********\n*********\n*********\n*********\n....**...\n...****..\n..******.\n.********\n****..***\n***...***\n**.......
77
102,400
3
135
476
Dreamoon and Stairs
[ "implementation", "math" ]
null
null
Dreamoon wants to climb up a stair of *n* steps. He can climb 1 or 2 steps at each move. Dreamoon wants the number of moves to be a multiple of an integer *m*. What is the minimal number of moves making him climb to the top of the stairs that satisfies his condition?
The single line contains two space separated integers *n*, *m* (0<=&lt;<=*n*<=≀<=10000,<=1<=&lt;<=*m*<=≀<=10).
Print a single integer β€” the minimal number of moves being a multiple of *m*. If there is no way he can climb satisfying condition print <=-<=1 instead.
[ "10 2\n", "3 5\n" ]
[ "6\n", "-1\n" ]
For the first sample, Dreamoon could climb in 6 moves with following sequence of steps: {2, 2, 2, 2, 1, 1}. For the second sample, there are only three valid sequence of steps {2, 1}, {1, 2}, {1, 1, 1} with 2, 2, and 3 steps respectively. All these numbers are not multiples of 5.
[ { "input": "10 2", "output": "6" }, { "input": "3 5", "output": "-1" }, { "input": "29 7", "output": "21" }, { "input": "2 2", "output": "2" }, { "input": "1 2", "output": "-1" }, { "input": "10000 2", "output": "5000" }, { "input": "10000 ...
77
0
3
136
7
Kalevitch and Chess
[ "brute force", "constructive algorithms" ]
A. Kalevitch and Chess
2
64
A famous Berland's painter Kalevitch likes to shock the public. One of his last obsessions is chess. For more than a thousand years people have been playing this old game on uninteresting, monotonous boards. Kalevitch decided to put an end to this tradition and to introduce a new attitude to chessboards. As before, th...
The input file contains 8 lines, each of the lines contains 8 characters. The given matrix describes the client's requirements, W character stands for a white square, and B character β€” for a square painted black. It is guaranteed that client's requirments can be fulfilled with a sequence of allowed strokes (vertical/c...
Output the only number β€” the minimum amount of rows and columns that Kalevitch has to paint on the white chessboard to meet the client's requirements.
[ "WWWBWWBW\nBBBBBBBB\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\n", "WWWWWWWW\nBBBBBBBB\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\n" ]
[ "3\n", "1\n" ]
none
[ { "input": "WWWBWWBW\nBBBBBBBB\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW\nWWWBWWBW", "output": "3" }, { "input": "WWWWWWWW\nBBBBBBBB\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW", "output": "1" }, { "input": "WWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWWWW\nWWWWWW...
218
0
0
137
855
Marvolo Gaunt's Ring
[ "brute force", "data structures", "dp" ]
null
null
Professor Dumbledore is helping Harry destroy the Horcruxes. He went to Gaunt Shack as he suspected a Horcrux to be present there. He saw Marvolo Gaunt's Ring and identified it as a Horcrux. Although he destroyed it, he is still affected by its curse. Professor Snape is helping Dumbledore remove the curse. For this, he...
First line of input contains 4 integers *n*,<=*p*,<=*q*,<=*r* (<=-<=109<=≀<=*p*,<=*q*,<=*r*<=≀<=109,<=1<=≀<=*n*<=≀<=105). Next line of input contains *n* space separated integers *a*1,<=*a*2,<=... *a**n* (<=-<=109<=≀<=*a**i*<=≀<=109).
Output a single integer the maximum value of *p*Β·*a**i*<=+<=*q*Β·*a**j*<=+<=*r*Β·*a**k* that can be obtained provided 1<=≀<=*i*<=≀<=*j*<=≀<=*k*<=≀<=*n*.
[ "5 1 2 3\n1 2 3 4 5\n", "5 1 2 -3\n-1 -2 -3 -4 -5\n" ]
[ "30\n", "12\n" ]
In the first sample case, we can take *i* = *j* = *k* = 5, thus making the answer as 1Β·5 + 2Β·5 + 3Β·5 = 30. In second sample case, selecting *i* = *j* = 1 and *k* = 5 gives the answer 12.
[ { "input": "5 1 2 3\n1 2 3 4 5", "output": "30" }, { "input": "5 1 2 -3\n-1 -2 -3 -4 -5", "output": "12" }, { "input": "5 886327859 82309257 -68295239\n-731225382 354766539 -48222231 -474691998 360965777", "output": "376059240645059046" }, { "input": "4 -96405765 -495906217 6...
140
0
0
138
711
Bus to Udayland
[ "brute force", "implementation" ]
null
null
ZS the Coder and Chris the Baboon are travelling to Udayland! To get there, they have to get on the special IOI bus. The IOI bus has *n* rows of seats. There are 4 seats in each row, and the seats are separated into pairs by a walkway. When ZS and Chris came, some places in the bus was already occupied. ZS and Chris a...
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=1000)Β β€” the number of rows of seats in the bus. Then, *n* lines follow. Each line contains exactly 5 characters, the first two of them denote the first pair of seats in the row, the third character denotes the walkway (it always equals '|') and t...
If it is possible for Chris and ZS to sit at neighbouring empty seats, print "YES" (without quotes) in the first line. In the next *n* lines print the bus configuration, where the characters in the pair of seats for Chris and ZS is changed with characters '+'. Thus the configuration should differ from the input one by ...
[ "6\nOO|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX\n", "4\nXO|OX\nXO|XX\nOX|OX\nXX|OX\n", "5\nXX|XX\nXX|XX\nXO|OX\nXO|OO\nOX|XO\n" ]
[ "YES\n++|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX\n", "NO\n", "YES\nXX|XX\nXX|XX\nXO|OX\nXO|++\nOX|XO\n" ]
Note that the following is an incorrect configuration for the first sample case because the seats must be in the same pair. O+|+X XO|XX OX|OO XX|OX OO|OO OO|XX
[ { "input": "6\nOO|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX", "output": "YES\n++|OX\nXO|XX\nOX|OO\nXX|OX\nOO|OO\nOO|XX" }, { "input": "4\nXO|OX\nXO|XX\nOX|OX\nXX|OX", "output": "NO" }, { "input": "5\nXX|XX\nXX|XX\nXO|OX\nXO|OO\nOX|XO", "output": "YES\nXX|XX\nXX|XX\nXO|OX\nXO|++\nOX|XO" ...
61
6,963,200
0
139
459
Pashmak and Flowers
[ "combinatorics", "implementation", "sortings" ]
null
null
Pashmak decided to give Parmida a pair of flowers from the garden. There are *n* flowers in the garden and the *i*-th of them has a beauty number *b**i*. Parmida is a very strange girl so she doesn't want to have the two most beautiful flowers necessarily. She wants to have those pairs of flowers that their beauty diff...
The first line of the input contains *n* (2<=≀<=*n*<=≀<=2Β·105). In the next line there are *n* space-separated integers *b*1, *b*2, ..., *b**n* (1<=≀<=*b**i*<=≀<=109).
The only line of output should contain two integers. The maximum beauty difference and the number of ways this may happen, respectively.
[ "2\n1 2\n", "3\n1 4 5\n", "5\n3 1 2 3 1\n" ]
[ "1 1", "4 1", "2 4" ]
In the third sample the maximum beauty difference is 2 and there are 4 ways to do this: 1. choosing the first and the second flowers; 1. choosing the first and the fifth flowers; 1. choosing the fourth and the second flowers; 1. choosing the fourth and the fifth flowers.
[ { "input": "2\n1 2", "output": "1 1" }, { "input": "3\n1 4 5", "output": "4 1" }, { "input": "5\n3 1 2 3 1", "output": "2 4" }, { "input": "2\n1 1", "output": "0 1" }, { "input": "3\n1 1 1", "output": "0 3" }, { "input": "4\n1 1 1 1", "output": "0 ...
296
18,432,000
3
140
13
Numbers
[ "implementation", "math" ]
A. Numbers
1
64
Little Petya likes numbers a lot. He found that number 123 in base 16 consists of two digits: the first is 7 and the second is 11. So the sum of digits of 123 in base 16 is equal to 18. Now he wonders what is an average value of sum of digits of the number *A* written in all bases from 2 to *A*<=-<=1. Note that all c...
Input contains one integer number *A* (3<=≀<=*A*<=≀<=1000).
Output should contain required average value in format Β«X/YΒ», where X is the numerator and Y is the denominator.
[ "5\n", "3\n" ]
[ "7/3\n", "2/1\n" ]
In the first sample number 5 written in all bases from 2 to 4 looks so: 101, 12, 11. Sums of digits are 2, 3 and 2, respectively.
[ { "input": "5", "output": "7/3" }, { "input": "3", "output": "2/1" }, { "input": "1000", "output": "90132/499" }, { "input": "927", "output": "155449/925" }, { "input": "260", "output": "6265/129" }, { "input": "131", "output": "3370/129" }, { ...
248
1,228,800
0
141
779
Weird Rounding
[ "brute force", "greedy" ]
null
null
Polycarp is crazy about round numbers. He especially likes the numbers divisible by 10*k*. In the given number of *n* Polycarp wants to remove the least number of digits to get a number that is divisible by 10*k*. For example, if *k*<==<=3, in the number 30020 it is enough to delete a single digit (2). In this case, t...
The only line of the input contains two integer numbers *n* and *k* (0<=≀<=*n*<=≀<=2<=000<=000<=000, 1<=≀<=*k*<=≀<=9). It is guaranteed that the answer exists. All numbers in the input are written in traditional notation of integers, that is, without any extra leading zeros.
Print *w* β€” the required minimal number of digits to erase. After removing the appropriate *w* digits from the number *n*, the result should have a value that is divisible by 10*k*. The result can start with digit 0 in the single case (the result is zero and written by exactly the only digit 0).
[ "30020 3\n", "100 9\n", "10203049 2\n" ]
[ "1\n", "2\n", "3\n" ]
In the example 2 you can remove two digits: 1 and any 0. The result is number 0 which is divisible by any number.
[ { "input": "30020 3", "output": "1" }, { "input": "100 9", "output": "2" }, { "input": "10203049 2", "output": "3" }, { "input": "0 1", "output": "0" }, { "input": "0 9", "output": "0" }, { "input": "100 2", "output": "0" }, { "input": "102...
124
6,656,000
3
143
675
Restoring Painting
[ "brute force", "constructive algorithms", "math" ]
null
null
Vasya works as a watchman in the gallery. Unfortunately, one of the most expensive paintings was stolen while he was on duty. He doesn't want to be fired, so he has to quickly restore the painting. He remembers some facts about it. - The painting is a square 3<=Γ—<=3, each cell contains a single integer from 1 to *n*,...
The first line of the input contains five integers *n*, *a*, *b*, *c* and *d* (1<=≀<=*n*<=≀<=100<=000, 1<=≀<=*a*,<=*b*,<=*c*,<=*d*<=≀<=*n*)Β β€” maximum possible value of an integer in the cell and four integers that Vasya remembers.
Print one integerΒ β€” the number of distinct valid squares.
[ "2 1 1 1 2\n", "3 3 1 2 3\n" ]
[ "2\n", "6\n" ]
Below are all the possible paintings for the first sample. <img class="tex-graphics" src="https://espresso.codeforces.com/c4c53d4e7b6814d8aad7b72604b6089d61dadb48.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/46a6ad6a5d3db202f3779b045b9dc77fc2348cf1....
[ { "input": "2 1 1 1 2", "output": "2" }, { "input": "3 3 1 2 3", "output": "6" }, { "input": "1 1 1 1 1", "output": "1" }, { "input": "1000 522 575 426 445", "output": "774000" }, { "input": "99000 52853 14347 64237 88869", "output": "1296306000" }, { ...
77
4,915,200
0
144
110
Nearly Lucky Number
[ "implementation" ]
A. Nearly Lucky Number
2
256
Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Unfortunately, not all numbers are lucky. Petya calls a number nearly lucky if the number of lucky d...
The only line contains an integer *n* (1<=≀<=*n*<=≀<=1018). Please do not use the %lld specificator to read or write 64-bit numbers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specificator.
Print on the single line "YES" if *n* is a nearly lucky number. Otherwise, print "NO" (without the quotes).
[ "40047\n", "7747774\n", "1000000000000000000\n" ]
[ "NO\n", "YES\n", "NO\n" ]
In the first sample there are 3 lucky digits (first one and last two), so the answer is "NO". In the second sample there are 7 lucky digits, 7 is lucky number, so the answer is "YES". In the third sample there are no lucky digits, so the answer is "NO".
[ { "input": "40047", "output": "NO" }, { "input": "7747774", "output": "YES" }, { "input": "1000000000000000000", "output": "NO" }, { "input": "7", "output": "NO" }, { "input": "4", "output": "NO" }, { "input": "474404774", "output": "NO" }, { ...
154
0
3.9615
145
769
Year of University Entrance
[ "*special", "implementation", "sortings" ]
null
null
There is the faculty of Computer Science in Berland. In the social net "TheContact!" for each course of this faculty there is the special group whose name equals the year of university entrance of corresponding course of students at the university. Each of students joins the group of his course and joins all groups f...
The first line contains the positive odd integer *n* (1<=≀<=*n*<=≀<=5) β€” the number of groups which Igor joined. The next line contains *n* distinct integers *a*1,<=*a*2,<=...,<=*a**n* (2010<=≀<=*a**i*<=≀<=2100) β€” years of student's university entrance for each group in which Igor is the member. It is guaranteed tha...
Print the year of Igor's university entrance.
[ "3\n2014 2016 2015\n", "1\n2050\n" ]
[ "2015\n", "2050\n" ]
In the first test the value *x* = 1. Igor entered the university in 2015. So he joined groups members of which are students who entered the university in 2014, 2015 and 2016. In the second test the value *x* = 0. Igor entered only the group which corresponds to the year of his university entrance.
[ { "input": "3\n2014 2016 2015", "output": "2015" }, { "input": "1\n2050", "output": "2050" }, { "input": "1\n2010", "output": "2010" }, { "input": "1\n2011", "output": "2011" }, { "input": "3\n2010 2011 2012", "output": "2011" }, { "input": "3\n2049 20...
61
5,324,800
3
146
677
Vanya and Fence
[ "implementation" ]
null
null
Vanya and his friends are walking along the fence of height *h* and they do not want the guard to notice them. In order to achieve this the height of each of the friends should not exceed *h*. If the height of some person is greater than *h* he can bend down and then he surely won't be noticed by the guard. The height ...
The first line of the input contains two integers *n* and *h* (1<=≀<=*n*<=≀<=1000, 1<=≀<=*h*<=≀<=1000)Β β€” the number of friends and the height of the fence, respectively. The second line contains *n* integers *a**i* (1<=≀<=*a**i*<=≀<=2*h*), the *i*-th of them is equal to the height of the *i*-th person.
Print a single integerΒ β€” the minimum possible valid width of the road.
[ "3 7\n4 5 14\n", "6 1\n1 1 1 1 1 1\n", "6 5\n7 6 8 9 10 5\n" ]
[ "4\n", "6\n", "11\n" ]
In the first sample, only person number 3 must bend down, so the required width is equal to 1 + 1 + 2 = 4. In the second sample, all friends are short enough and no one has to bend, so the width 1 + 1 + 1 + 1 + 1 + 1 = 6 is enough. In the third sample, all the persons have to bend, except the last one. The required m...
[ { "input": "3 7\n4 5 14", "output": "4" }, { "input": "6 1\n1 1 1 1 1 1", "output": "6" }, { "input": "6 5\n7 6 8 9 10 5", "output": "11" }, { "input": "10 420\n214 614 297 675 82 740 174 23 255 15", "output": "13" }, { "input": "10 561\n657 23 1096 487 785 66 481...
46
0
3
147
550
Preparing Olympiad
[ "bitmasks", "brute force" ]
null
null
You have *n* problems. You have estimated the difficulty of the *i*-th one as integer *c**i*. Now you want to prepare a problemset for a contest, using some of the problems you've made. A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contes...
The first line contains four integers *n*, *l*, *r*, *x* (1<=≀<=*n*<=≀<=15, 1<=≀<=*l*<=≀<=*r*<=≀<=109, 1<=≀<=*x*<=≀<=106) β€” the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easies...
Print the number of ways to choose a suitable problemset for the contest.
[ "3 5 6 1\n1 2 3\n", "4 40 50 10\n10 20 30 25\n", "5 25 35 10\n10 10 20 10 20\n" ]
[ "2\n", "2\n", "6\n" ]
In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems. In the second example, two sets of problems are suitable β€” the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30. In the third ...
[ { "input": "3 5 6 1\n1 2 3", "output": "2" }, { "input": "4 40 50 10\n10 20 30 25", "output": "2" }, { "input": "5 25 35 10\n10 10 20 10 20", "output": "6" }, { "input": "4 15 60 10\n10 20 30 25", "output": "6" }, { "input": "1 10 20 1\n15", "output": "0" },...
61
0
3
148
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...
187
29,491,200
3
149
385
Bear and Strings
[ "brute force", "greedy", "implementation", "math", "strings" ]
null
null
The bear has a string *s*<==<=*s*1*s*2... *s*|*s*| (record |*s*| is the string's length), consisting of lowercase English letters. The bear wants to count the number of such pairs of indices *i*,<=*j* (1<=≀<=*i*<=≀<=*j*<=≀<=|*s*|), that string *x*(*i*,<=*j*)<==<=*s**i**s**i*<=+<=1... *s**j* contains at least one string...
The first line contains a non-empty string *s* (1<=≀<=|*s*|<=≀<=5000). It is guaranteed that the string only consists of lowercase English letters.
Print a single number β€” the answer to the problem.
[ "bearbtear\n", "bearaabearc\n" ]
[ "6\n", "20\n" ]
In the first sample, the following pairs (*i*, *j*) match: (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9). In the second sample, the following pairs (*i*, *j*) match: (1,  4), (1,  5), (1,  6), (1,  7), (1,  8), (1,  9), (1,  10), (1,  11), (2,  10), (2,  11), (3,  10), (3,  11), (4,  10), (4,  11), (5,  10), (5,  11)...
[ { "input": "bearbtear", "output": "6" }, { "input": "bearaabearc", "output": "20" }, { "input": "pbearbearhbearzqbearjkterasjhy", "output": "291" }, { "input": "pbearjbearbebearnbabcffbearbearwubearjezpiorrbearbearjbdlbearbearqbearjbearwipmsbearoaftrsebearzsnqb", "output"...
62
30,617,600
3
150
306
Candies
[ "implementation" ]
null
null
Polycarpus has got *n* candies and *m* friends (*n*<=β‰₯<=*m*). He wants to make a New Year present with candies to each friend. Polycarpus is planning to present all candies and he wants to do this in the fairest (that is, most equal) manner. He wants to choose such *a**i*, where *a**i* is the number of candies in the *...
The single line of the input contains a pair of space-separated positive integers *n*, *m* (1<=≀<=*n*,<=*m*<=≀<=100;*n*<=β‰₯<=*m*) β€” the number of candies and the number of Polycarpus's friends.
Print the required sequence *a*1,<=*a*2,<=...,<=*a**m*, where *a**i* is the number of candies in the *i*-th friend's present. All numbers *a**i* must be positive integers, total up to *n*, the maximum one should differ from the minimum one by the smallest possible value.
[ "12 3\n", "15 4\n", "18 7\n" ]
[ "4 4 4 ", "3 4 4 4 ", "2 2 2 3 3 3 3 " ]
Print *a*<sub class="lower-index">*i*</sub> in any order, separate the numbers by spaces.
[ { "input": "12 4", "output": "3 3 3 3 " }, { "input": "15 6", "output": "2 2 2 3 3 3 " }, { "input": "18 8", "output": "2 2 2 2 2 2 3 3 " }, { "input": "1 1", "output": "1 " }, { "input": "2 1", "output": "2 " }, { "input": "100 1", "output": "100 ...
122
0
-1
151
989
A Blend of Springtime
[ "implementation", "strings" ]
null
null
"What a pity it's already late spring," sighs Mino with regret, "one more drizzling night and they'd be gone." "But these blends are at their best, aren't they?" Absorbed in the landscape, Kanno remains optimistic. The landscape can be expressed as a row of consecutive cells, each of which either contains a flower o...
The first and only line of input contains a non-empty string $s$ consisting of uppercase English letters 'A', 'B', 'C' and characters '.' (dots) only ($\lvert s \rvert \leq 100$)Β β€” denoting cells containing an amber flower, a buff one, a canary yellow one, and no flowers, respectively.
Output "Yes" if it's possible that all three colours appear in some cell, and "No" otherwise. You can print each letter in any case (upper or lower).
[ ".BAC.\n", "AA..CB\n" ]
[ "Yes\n", "No\n" ]
In the first example, the buff and canary yellow flowers can leave their petals in the central cell, blending all three colours in it. In the second example, it's impossible to satisfy the requirement because there is no way that amber and buff meet in any cell.
[ { "input": ".BAC.", "output": "Yes" }, { "input": "AA..CB", "output": "No" }, { "input": ".", "output": "No" }, { "input": "ACB.AAAAAA", "output": "Yes" }, { "input": "B.BC.BBBCA", "output": "Yes" }, { "input": "BA..CAB..B", "output": "Yes" }, ...
93
0
3
152
401
Team
[ "constructive algorithms", "greedy", "implementation" ]
null
null
Now it's time of Olympiads. Vanya and Egor decided to make his own team to take part in a programming Olympiad. They've been best friends ever since primary school and hopefully, that can somehow help them in teamwork. For each team Olympiad, Vanya takes his play cards with numbers. He takes only the cards containing ...
The first line contains two integers: *n* (1<=≀<=*n*<=≀<=106) β€” the number of cards containing number 0; *m* (1<=≀<=*m*<=≀<=106) β€” the number of cards containing number 1.
In a single line print the required sequence of zeroes and ones without any spaces. If such sequence is impossible to obtain, print -1.
[ "1 2\n", "4 8\n", "4 10\n", "1 5\n" ]
[ "101\n", "110110110101\n", "11011011011011\n", "-1\n" ]
none
[ { "input": "1 2", "output": "101" }, { "input": "4 8", "output": "110110110101" }, { "input": "4 10", "output": "11011011011011" }, { "input": "1 5", "output": "-1" }, { "input": "3 4", "output": "1010101" }, { "input": "3 10", "output": "-1" }, ...
233
7,270,400
3
153
912
Tricky Alchemy
[ "implementation" ]
null
null
During the winter holidays, the demand for Christmas balls is exceptionally high. Since it's already 2018, the advances in alchemy allow easy and efficient ball creation by utilizing magic crystals. Grisha needs to obtain some yellow, green and blue balls. It's known that to produce a yellow ball one needs two yellow ...
The first line features two integers *A* and *B* (0<=≀<=*A*,<=*B*<=≀<=109), denoting the number of yellow and blue crystals respectively at Grisha's disposal. The next line contains three integers *x*, *y* and *z* (0<=≀<=*x*,<=*y*,<=*z*<=≀<=109)Β β€” the respective amounts of yellow, green and blue balls to be obtained.
Print a single integerΒ β€” the minimum number of crystals that Grisha should acquire in addition.
[ "4 3\n2 1 1\n", "3 9\n1 1 3\n", "12345678 87654321\n43043751 1000000000 53798715\n" ]
[ "2\n", "1\n", "2147483648\n" ]
In the first sample case, Grisha needs five yellow and four blue crystals to create two yellow balls, one green ball, and one blue ball. To do that, Grisha needs to obtain two additional crystals: one yellow and one blue.
[ { "input": "4 3\n2 1 1", "output": "2" }, { "input": "3 9\n1 1 3", "output": "1" }, { "input": "12345678 87654321\n43043751 1000000000 53798715", "output": "2147483648" }, { "input": "12 12\n3 5 2", "output": "0" }, { "input": "770 1390\n170 442 311", "output"...
62
5,632,000
3
155
991
Getting an A
[ "greedy", "sortings" ]
null
null
Translator's note: in Russia's most widespread grading system, there are four grades: 5, 4, 3, 2, the higher the better, roughly corresponding to A, B, C and F respectively in American grading system. The term is coming to an end and students start thinking about their grades. Today, a professor told his students that...
The first line contains a single integer $n$Β β€” the number of Vasya's grades ($1 \leq n \leq 100$). The second line contains $n$ integers from $2$ to $5$Β β€” Vasya's grades for his lab works.
Output a single integerΒ β€” the minimum amount of lab works that Vasya has to redo. It can be shown that Vasya can always redo enough lab works to get a $5$.
[ "3\n4 4 4\n", "4\n5 4 5 5\n", "4\n5 3 3 5\n" ]
[ "2\n", "0\n", "1\n" ]
In the first sample, it is enough to redo two lab works to make two $4$s into $5$s. In the second sample, Vasya's average is already $4.75$ so he doesn't have to redo anything to get a $5$. In the second sample Vasya has to redo one lab work to get rid of one of the $3$s, that will make the average exactly $4.5$ so t...
[ { "input": "3\n4 4 4", "output": "2" }, { "input": "4\n5 4 5 5", "output": "0" }, { "input": "4\n5 3 3 5", "output": "1" }, { "input": "1\n5", "output": "0" }, { "input": "4\n3 2 5 4", "output": "2" }, { "input": "5\n5 4 3 2 5", "output": "2" }, ...
140
1,228,800
3
156
478
Table Decorations
[ "greedy" ]
null
null
You have *r* red, *g* green and *b* blue balloons. To decorate a single table for the banquet you need exactly three balloons. Three balloons attached to some table shouldn't have the same color. What maximum number *t* of tables can be decorated if we know number of balloons of each color? Your task is to write a pro...
The single line contains three integers *r*, *g* and *b* (0<=≀<=*r*,<=*g*,<=*b*<=≀<=2Β·109) β€” the number of red, green and blue baloons respectively. The numbers are separated by exactly one space.
Print a single integer *t* β€” the maximum number of tables that can be decorated in the required manner.
[ "5 4 3\n", "1 1 1\n", "2 3 3\n" ]
[ "4\n", "1\n", "2\n" ]
In the first sample you can decorate the tables with the following balloon sets: "rgg", "gbb", "brr", "rrg", where "r", "g" and "b" represent the red, green and blue balls, respectively.
[ { "input": "5 4 3", "output": "4" }, { "input": "1 1 1", "output": "1" }, { "input": "2 3 3", "output": "2" }, { "input": "0 1 0", "output": "0" }, { "input": "0 3 3", "output": "2" }, { "input": "4 0 4", "output": "2" }, { "input": "100000...
61
0
0
157
892
Greed
[ "greedy", "implementation" ]
null
null
Jafar has *n* cans of cola. Each can is described by two integers: remaining volume of cola *a**i* and can's capacity *b**i* (*a**i* <=≀<= *b**i*). Jafar has decided to pour all remaining cola into just 2 cans, determine if he can do this or not!
The first line of the input contains one integer *n* (2<=≀<=*n*<=≀<=100<=000)Β β€” number of cola cans. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≀<=*a**i*<=≀<=109) β€” volume of remaining cola in cans. The third line contains *n* space-separated integers that *b*1,<=*b*2,<=...,<...
Print "YES" (without quotes) if it is possible to pour all remaining cola in 2 cans. Otherwise print "NO" (without quotes). You can print each letter in any case (upper or lower).
[ "2\n3 5\n3 6\n", "3\n6 8 9\n6 10 12\n", "5\n0 0 5 0 0\n1 1 8 10 5\n", "4\n4 1 0 3\n5 2 2 3\n" ]
[ "YES\n", "NO\n", "YES\n", "YES\n" ]
In the first sample, there are already 2 cans, so the answer is "YES".
[ { "input": "2\n3 5\n3 6", "output": "YES" }, { "input": "3\n6 8 9\n6 10 12", "output": "NO" }, { "input": "5\n0 0 5 0 0\n1 1 8 10 5", "output": "YES" }, { "input": "4\n4 1 0 3\n5 2 2 3", "output": "YES" }, { "input": "10\n9 10 24 11 1 7 8 3 28 14\n86 20 34 11 22 9...
187
15,667,200
3
159
462
Appleman and Card Game
[ "greedy" ]
null
null
Appleman has *n* cards. Each card has an uppercase letter written on it. Toastman must choose *k* cards from Appleman's cards. Then Appleman should give Toastman some coins depending on the chosen cards. Formally, for each Toastman's card *i* you should calculate how much Toastman's cards have the letter equal to lette...
The first line contains two integers *n* and *k* (1<=≀<=*k*<=≀<=*n*<=≀<=105). The next line contains *n* uppercase letters without spaces β€” the *i*-th letter describes the *i*-th card of the Appleman.
Print a single integer – the answer to the problem.
[ "15 10\nDZFDFZDFDDDDDDF\n", "6 4\nYJSNPI\n" ]
[ "82\n", "4\n" ]
In the first test example Toastman can choose nine cards with letter D and one additional card with any letter. For each card with D he will get 9 coins and for the additional card he will get 1 coin.
[ { "input": "15 10\nDZFDFZDFDDDDDDF", "output": "82" }, { "input": "6 4\nYJSNPI", "output": "4" }, { "input": "5 3\nAOWBY", "output": "3" }, { "input": "1 1\nV", "output": "1" }, { "input": "2 1\nWT", "output": "1" }, { "input": "2 2\nBL", "output":...
108
2,048,000
-1
160
296
Yaroslav and Permutations
[ "greedy", "math" ]
null
null
Yaroslav has an array that consists of *n* integers. In one second Yaroslav can swap two neighboring array elements. Now Yaroslav is wondering if he can obtain an array where any two neighboring elements would be distinct in a finite time. Help Yaroslav.
The first line contains integer *n* (1<=≀<=*n*<=≀<=100) β€” the number of elements in the array. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=1000) β€” the array elements.
In the single line print "YES" (without the quotes) if Yaroslav can obtain the array he needs, and "NO" (without the quotes) otherwise.
[ "1\n1\n", "3\n1 1 2\n", "4\n7 7 7 7\n" ]
[ "YES\n", "YES\n", "NO\n" ]
In the first sample the initial array fits well. In the second sample Yaroslav can get array: 1, 2, 1. He can swap the last and the second last elements to obtain it. In the third sample Yarosav can't get the array he needs.
[ { "input": "1\n1", "output": "YES" }, { "input": "3\n1 1 2", "output": "YES" }, { "input": "4\n7 7 7 7", "output": "NO" }, { "input": "4\n479 170 465 146", "output": "YES" }, { "input": "5\n996 437 605 996 293", "output": "YES" }, { "input": "6\n727 53...
124
0
0
161
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 Β«.Β», 1 as Β«-.Β» and 2 as Β«--Β». 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...
2,000
1,228,800
0
163
0
none
[ "none" ]
null
null
Andryusha goes through a park each day. The squares and paths between them look boring to Andryusha, so he decided to decorate them. The park consists of *n* squares connected with (*n*<=-<=1) bidirectional paths in such a way that any square is reachable from any other using these paths. Andryusha decided to hang a c...
The first line contains single integer *n* (3<=≀<=*n*<=≀<=2Β·105)Β β€” the number of squares in the park. Each of the next (*n*<=-<=1) lines contains two integers *x* and *y* (1<=≀<=*x*,<=*y*<=≀<=*n*)Β β€” the indices of two squares directly connected by a path. It is guaranteed that any square is reachable from any other u...
In the first line print single integer *k*Β β€” the minimum number of colors Andryusha has to use. In the second line print *n* integers, the *i*-th of them should be equal to the balloon color on the *i*-th square. Each of these numbers should be within range from 1 to *k*.
[ "3\n2 3\n1 3\n", "5\n2 3\n5 3\n4 3\n1 3\n", "5\n2 1\n3 2\n4 3\n5 4\n" ]
[ "3\n1 3 2 ", "5\n1 3 2 5 4 ", "3\n1 2 3 1 2 " ]
In the first sample the park consists of three squares: 1 → 3 → 2. Thus, the balloon colors have to be distinct. In the second example there are following triples of consequently connected squares: - 1 → 3 → 2 - 1 → 3 → 4 - 1 → 3 → 5 - 2 → 3 → 4 - 2 → 3 → 5 - 4 → 3 → 5 In the third example there are following...
[ { "input": "3\n2 3\n1 3", "output": "3\n1 3 2 " }, { "input": "5\n2 3\n5 3\n4 3\n1 3", "output": "5\n1 3 2 5 4 " }, { "input": "5\n2 1\n3 2\n4 3\n5 4", "output": "3\n1 2 3 1 2 " }, { "input": "10\n5 3\n9 2\n7 1\n3 8\n4 1\n1 9\n10 1\n8 9\n6 2", "output": "5\n1 2 1 3 2 1 2 ...
1,762
27,136,000
-1
164
978
Remove Duplicates
[ "implementation" ]
null
null
Petya has an array $a$ consisting of $n$ integers. He wants to remove duplicate (equal) elements. Petya wants to leave only the rightmost entry (occurrence) for each element of the array. The relative order of the remaining unique elements should not be changed.
The first line contains a single integer $n$ ($1 \le n \le 50$) β€” the number of elements in Petya's array. The following line contains a sequence $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 1\,000$) β€” the Petya's array.
In the first line print integer $x$ β€” the number of elements which will be left in Petya's array after he removed the duplicates. In the second line print $x$ integers separated with a space β€” Petya's array after he removed the duplicates. For each unique element only the rightmost entry should be left.
[ "6\n1 5 5 1 6 1\n", "5\n2 4 2 4 4\n", "5\n6 6 6 6 6\n" ]
[ "3\n5 6 1 \n", "2\n2 4 \n", "1\n6 \n" ]
In the first example you should remove two integers $1$, which are in the positions $1$ and $4$. Also you should remove the integer $5$, which is in the position $2$. In the second example you should remove integer $2$, which is in the position $1$, and two integers $4$, which are in the positions $2$ and $4$. In the...
[ { "input": "6\n1 5 5 1 6 1", "output": "3\n5 6 1 " }, { "input": "5\n2 4 2 4 4", "output": "2\n2 4 " }, { "input": "5\n6 6 6 6 6", "output": "1\n6 " }, { "input": "7\n1 2 3 4 2 2 3", "output": "4\n1 4 2 3 " }, { "input": "9\n100 100 100 99 99 99 100 100 100", ...
15
0
-1
166
921
Labyrinth-11
[]
null
null
See the problem statement here: [http://codeforces.com/contest/921/problem/01](//codeforces.com/contest/921/problem/01).
none
none
[]
[]
none
[]
46
5,632,000
2
167
343
Alternating Current
[ "data structures", "greedy", "implementation" ]
null
null
Mad scientist Mike has just finished constructing a new device to search for extraterrestrial intelligence! He was in such a hurry to launch it for the first time that he plugged in the power wires without giving it a proper glance and started experimenting right away. After a while Mike observed that the wires ended u...
The single line of the input contains a sequence of characters "+" and "-" of length *n* (1<=≀<=*n*<=≀<=100000). The *i*-th (1<=≀<=*i*<=≀<=*n*) position of the sequence contains the character "+", if on the *i*-th step from the wall the "plus" wire runs above the "minus" wire, and the character "-" otherwise.
Print either "Yes" (without the quotes) if the wires can be untangled or "No" (without the quotes) if the wires cannot be untangled.
[ "-++-\n", "+-\n", "++\n", "-\n" ]
[ "Yes\n", "No\n", "Yes\n", "No\n" ]
The first testcase corresponds to the picture in the statement. To untangle the wires, one can first move the "plus" wire lower, thus eliminating the two crosses in the middle, and then draw it under the "minus" wire, eliminating also the remaining two crosses. In the second testcase the "plus" wire makes one full rev...
[ { "input": "-++-", "output": "Yes" }, { "input": "+-", "output": "No" }, { "input": "++", "output": "Yes" }, { "input": "-", "output": "No" }, { "input": "+-+-", "output": "No" }, { "input": "-+-", "output": "No" }, { "input": "-++-+--+", ...
184
2,764,800
-1
168
353
Domino
[ "implementation", "math" ]
null
null
Valera has got *n* domino pieces in a row. Each piece consists of two halves β€” the upper one and the lower one. Each of the halves contains a number from 1 to 6. Valera loves even integers very much, so he wants the sum of the numbers on the upper halves and the sum of the numbers on the lower halves to be even. To do...
The first line contains integer *n* (1<=≀<=*n*<=≀<=100), denoting the number of dominoes Valera has. Next *n* lines contain two space-separated integers *x**i*,<=*y**i* (1<=≀<=*x**i*,<=*y**i*<=≀<=6). Number *x**i* is initially written on the upper half of the *i*-th domino, *y**i* is initially written on the lower half...
Print a single number β€” the minimum required number of seconds. If Valera can't do the task in any time, print <=-<=1.
[ "2\n4 2\n6 4\n", "1\n2 3\n", "3\n1 4\n2 3\n4 4\n" ]
[ "0\n", "-1\n", "1\n" ]
In the first test case the sum of the numbers on the upper halves equals 10 and the sum of the numbers on the lower halves equals 6. Both numbers are even, so Valera doesn't required to do anything. In the second sample Valera has only one piece of domino. It is written 3 on the one of its halves, therefore one of the...
[ { "input": "2\n4 2\n6 4", "output": "0" }, { "input": "1\n2 3", "output": "-1" }, { "input": "3\n1 4\n2 3\n4 4", "output": "1" }, { "input": "5\n5 4\n5 4\n1 5\n5 5\n3 3", "output": "1" }, { "input": "20\n1 3\n5 2\n5 2\n2 6\n2 4\n1 1\n1 3\n1 4\n2 6\n4 2\n5 6\n2 2\n...
92
0
0
169
305
Strange Addition
[ "brute force", "constructive algorithms", "implementation" ]
null
null
Unfortunately, Vasya can only sum pairs of integers (*a*, *b*), such that for any decimal place at least one number has digit 0 in this place. For example, Vasya can sum numbers 505 and 50, but he cannot sum 1 and 4. Vasya has a set of *k* distinct non-negative integers *d*1,<=*d*2,<=...,<=*d**k*. Vasya wants to choo...
The first input line contains integer *k* (1<=≀<=*k*<=≀<=100) β€” the number of integers. The second line contains *k* distinct space-separated integers *d*1,<=*d*2,<=...,<=*d**k* (0<=≀<=*d**i*<=≀<=100).
In the first line print a single integer *n* the maximum number of the chosen integers. In the second line print *n* distinct non-negative integers β€” the required integers. If there are multiple solutions, print any of them. You can print the numbers in any order.
[ "4\n100 10 1 0\n", "3\n2 70 3\n" ]
[ "4\n0 1 10 100 ", "2\n2 70 " ]
none
[ { "input": "4\n100 10 1 0", "output": "4\n0 1 10 100 " }, { "input": "3\n2 70 3", "output": "2\n2 70 " }, { "input": "39\n16 72 42 70 17 36 32 40 47 94 27 30 100 55 23 77 67 28 49 50 53 83 38 33 60 65 62 64 6 66 69 86 96 75 85 0 89 73 29", "output": "4\n0 6 30 100 " }, { "inp...
186
0
0
170
18
Triangle
[ "brute force", "geometry" ]
A. Triangle
2
64
At a geometry lesson Bob learnt that a triangle is called right-angled if it is nondegenerate and one of its angles is right. Bob decided to draw such a triangle immediately: on a sheet of paper he drew three points with integer coordinates, and joined them with segments of straight lines, then he showed the triangle t...
The first input line contains 6 space-separated integers *x*1,<=*y*1,<=*x*2,<=*y*2,<=*x*3,<=*y*3 β€” coordinates of the triangle's vertices. All the coordinates are integer and don't exceed 100 in absolute value. It's guaranteed that the triangle is nondegenerate, i.e. its total area is not zero.
If the given triangle is right-angled, output RIGHT, if it is almost right-angled, output ALMOST, and if it is neither of these, output NEITHER.
[ "0 0 2 0 0 1\n", "2 3 4 5 6 6\n", "-1 0 2 0 0 1\n" ]
[ "RIGHT\n", "NEITHER\n", "ALMOST\n" ]
none
[ { "input": "0 0 2 0 0 1", "output": "RIGHT" }, { "input": "2 3 4 5 6 6", "output": "NEITHER" }, { "input": "-1 0 2 0 0 1", "output": "ALMOST" }, { "input": "27 74 85 23 100 99", "output": "NEITHER" }, { "input": "-97 -19 17 62 30 -76", "output": "NEITHER" },...
154
0
0
171
976
Nested Segments
[ "greedy", "implementation", "sortings" ]
null
null
You are given a sequence *a*1,<=*a*2,<=...,<=*a**n* of one-dimensional segments numbered 1 through *n*. Your task is to find two distinct indices *i* and *j* such that segment *a**i* lies within segment *a**j*. Segment [*l*1,<=*r*1] lies within segment [*l*2,<=*r*2] iff *l*1<=β‰₯<=*l*2 and *r*1<=≀<=*r*2. Print indices ...
The first line contains one integer *n* (1<=≀<=*n*<=≀<=3Β·105) β€” the number of segments. Each of the next *n* lines contains two integers *l**i* and *r**i* (1<=≀<=*l**i*<=≀<=*r**i*<=≀<=109) β€” the *i*-th segment.
Print two distinct indices *i* and *j* such that segment *a**i* lies within segment *a**j*. If there are multiple answers, print any of them. If no answer exists, print -1 -1.
[ "5\n1 10\n2 9\n3 9\n2 3\n2 9\n", "3\n1 5\n2 6\n6 20\n" ]
[ "2 1\n", "-1 -1\n" ]
In the first example the following pairs are considered correct: - (2, 1), (3, 1), (4, 1), (5, 1) β€” not even touching borders; - (3, 2), (4, 2), (3, 5), (4, 5) β€” touch one border; - (5, 2), (2, 5) β€” match exactly.
[ { "input": "5\n1 10\n2 9\n3 9\n2 3\n2 9", "output": "2 1" }, { "input": "3\n1 5\n2 6\n6 20", "output": "-1 -1" }, { "input": "1\n1 1000000000", "output": "-1 -1" }, { "input": "2\n1 1000000000\n1 1000000000", "output": "2 1" }, { "input": "2\n1 1000000000\n5000000...
77
7,065,600
0
172
618
Slime Combining
[ "implementation" ]
null
null
Your friend recently gave you some slimes for your birthday. You have *n* slimes all initially with value 1. You are going to play a game with these slimes. Initially, you put a single slime by itself in a row. Then, you will add the other *n*<=-<=1 slimes one by one. When you add a slime, you place it at the right of...
The first line of the input will contain a single integer, *n* (1<=≀<=*n*<=≀<=100<=000).
Output a single line with *k* integers, where *k* is the number of slimes in the row after you've finished the procedure described in the problem statement. The *i*-th of these numbers should be the value of the *i*-th slime from the left.
[ "1\n", "2\n", "3\n", "8\n" ]
[ "1\n", "2\n", "2 1\n", "4\n" ]
In the first sample, we only have a single slime with value 1. The final state of the board is just a single slime with value 1. In the second sample, we perform the following steps: Initially we place a single slime in a row by itself. Thus, row is initially 1. Then, we will add another slime. The row is now 1 1. S...
[ { "input": "1", "output": "1" }, { "input": "2", "output": "2" }, { "input": "3", "output": "2 1" }, { "input": "8", "output": "4" }, { "input": "100000", "output": "17 16 11 10 8 6" }, { "input": "12345", "output": "14 13 6 5 4 1" }, { "in...
93
0
0
173
312
Archer
[ "math", "probabilities" ]
null
null
SmallR is an archer. SmallR is taking a match of archer with Zanoes. They try to shoot in the target in turns, and SmallR shoots first. The probability of shooting the target each time is for SmallR while for Zanoes. The one who shoots in the target first should be the winner. Output the probability that SmallR will...
A single line contains four integers .
Print a single real number, the probability that SmallR will win the match. The answer will be considered correct if the absolute or relative error doesn't exceed 10<=-<=6.
[ "1 2 1 2\n" ]
[ "0.666666666667" ]
none
[ { "input": "1 2 1 2", "output": "0.666666666667" }, { "input": "1 3 1 3", "output": "0.600000000000" }, { "input": "1 3 2 3", "output": "0.428571428571" }, { "input": "3 4 3 4", "output": "0.800000000000" }, { "input": "1 2 10 11", "output": "0.523809523810" ...
155
0
3
174
219
k-String
[ "implementation", "strings" ]
null
null
A string is called a *k*-string if it can be represented as *k* concatenated copies of some string. For example, the string "aabaabaabaab" is at the same time a 1-string, a 2-string and a 4-string, but it is not a 3-string, a 5-string, or a 6-string and so on. Obviously any string is a 1-string. You are given a string...
The first input line contains integer *k* (1<=≀<=*k*<=≀<=1000). The second line contains *s*, all characters in *s* are lowercase English letters. The string length *s* satisfies the inequality 1<=≀<=|*s*|<=≀<=1000, where |*s*| is the length of string *s*.
Rearrange the letters in string *s* in such a way that the result is a *k*-string. Print the result on a single output line. If there are multiple solutions, print any of them. If the solution doesn't exist, print "-1" (without quotes).
[ "2\naazz\n", "3\nabcabcabz\n" ]
[ "azaz\n", "-1\n" ]
none
[ { "input": "2\naazz", "output": "azaz" }, { "input": "3\nabcabcabz", "output": "-1" }, { "input": "1\na", "output": "a" }, { "input": "2\nabba", "output": "abab" }, { "input": "2\naaab", "output": "-1" }, { "input": "7\nabacaba", "output": "-1" }...
92
0
0
175
94
Restoring Password
[ "implementation", "strings" ]
A. Restoring Password
2
256
Igor K. always used to trust his favorite Kashpirovsky Antivirus. That is why he didn't hesitate to download the link one of his groupmates sent him via QIP Infinium. The link was said to contain "some real funny stuff about swine influenza". The antivirus had no objections and Igor K. run the flash application he had ...
The input data contains 11 lines. The first line represents the binary code 80 characters in length. That is the code written in Igor K.'s ISQ account's info. Next 10 lines contain pairwise distinct binary codes 10 characters in length, corresponding to numbers 0, 1, ..., 9.
Print one line containing 8 characters β€” The password to Igor K.'s ISQ account. It is guaranteed that the solution exists.
[ "01001100100101100000010110001001011001000101100110010110100001011010100101101100\n0100110000\n0100110010\n0101100000\n0101100010\n0101100100\n0101100110\n0101101000\n0101101010\n0101101100\n0101101110\n", "10101101111001000010100100011010101101110010110111011000100011011110010110001000\n1001000010\n1101111001\n1...
[ "12345678\n", "30234919\n" ]
none
[ { "input": "01001100100101100000010110001001011001000101100110010110100001011010100101101100\n0100110000\n0100110010\n0101100000\n0101100010\n0101100100\n0101100110\n0101101000\n0101101010\n0101101100\n0101101110", "output": "12345678" }, { "input": "1010110111100100001010010001101010110111001011011...
92
0
3.977
178
78
Haiku
[ "implementation", "strings" ]
A. Haiku
2
256
Haiku is a genre of Japanese traditional poetry. A haiku poem consists of 17 syllables split into three phrases, containing 5, 7 and 5 syllables correspondingly (the first phrase should contain exactly 5 syllables, the second phrase should contain exactly 7 syllables, and the third phrase should contain exactly 5 syll...
The input data consists of three lines. The length of each line is between 1 and 100, inclusive. The *i*-th line contains the *i*-th phrase of the poem. Each phrase consists of one or more words, which are separated by one or more spaces. A word is a non-empty sequence of lowercase Latin letters. Leading and/or trailin...
Print "YES" (without the quotes) if the poem is a haiku. Otherwise, print "NO" (also without the quotes).
[ "on codeforces \nbeta round is running\n a rustling of keys \n", "how many gallons\nof edo s rain did you drink\n cuckoo\n" ]
[ "YES", "NO" ]
none
[ { "input": "on codeforces \nbeta round is running\n a rustling of keys ", "output": "YES" }, { "input": "how many gallons\nof edo s rain did you drink\n cuckoo", "output": "NO" }, { "input": " hatsu shigure\n saru mo komino wo\nhoshige nari", ...
92
0
3.977
179
7
Palindrome Degree
[ "hashing", "strings" ]
D. Palindrome Degree
1
256
String *s* of length *n* is called *k*-palindrome, if it is a palindrome itself, and its prefix and suffix of length are (*k*<=-<=1)-palindromes. By definition, any string (even empty) is 0-palindrome. Let's call the palindrome degree of string *s* such a maximum number *k*, for which *s* is *k*-palindrome. For examp...
The first line of the input data contains a non-empty string, consisting of Latin letters and digits. The length of the string does not exceed 5Β·106. The string is case-sensitive.
Output the only number β€” the sum of the polindrome degrees of all the string's prefixes.
[ "a2A\n", "abacaba\n" ]
[ "1", "6" ]
none
[ { "input": "a2A", "output": "1" }, { "input": "abacaba", "output": "6" }, { "input": "CCeCeCCCee", "output": "4" }, { "input": "opooppppopppopoppopoooppopopooopopppooopppoppoppoppppoooppooooooopppoopoopooooppooooppppppppooopooop", "output": "3" }, { "input": "odri...
1,000
204,800
0
180
258
Little Elephant and Bits
[ "greedy", "math" ]
null
null
The Little Elephant has an integer *a*, written in the binary notation. He wants to write this number on a piece of paper. To make sure that the number *a* fits on the piece of paper, the Little Elephant ought to delete exactly one any digit from number *a* in the binary record. At that a new number appears. It consis...
The single line contains integer *a*, written in the binary notation without leading zeroes. This number contains more than 1 and at most 105 digits.
In the single line print the number that is written without leading zeroes in the binary notation β€” the answer to the problem.
[ "101\n", "110010\n" ]
[ "11\n", "11010\n" ]
In the first sample the best strategy is to delete the second digit. That results in number 11<sub class="lower-index">2</sub> = 3<sub class="lower-index">10</sub>. In the second sample the best strategy is to delete the third or fourth digits β€” that results in number 11010<sub class="lower-index">2</sub> = 26<sub cla...
[ { "input": "101", "output": "11" }, { "input": "110010", "output": "11010" }, { "input": "10000", "output": "1000" }, { "input": "1111111110", "output": "111111111" }, { "input": "10100101011110101", "output": "1100101011110101" }, { "input": "11101001...
310
1,024,000
3
181
378
Playing with Dice
[ "brute force" ]
null
null
Two players are playing a game. First each of them writes an integer from 1 to 6, and then a dice is thrown. The player whose written number got closer to the number on the dice wins. If both payers have the same difference, it's a draw. The first player wrote number *a*, the second player wrote number *b*. How many w...
The single line contains two integers *a* and *b* (1<=≀<=*a*,<=*b*<=≀<=6)Β β€” the numbers written on the paper by the first and second player, correspondingly.
Print three integers: the number of ways to throw the dice at which the first player wins, the game ends with a draw or the second player wins, correspondingly.
[ "2 5\n", "2 4\n" ]
[ "3 0 3\n", "2 1 3\n" ]
The dice is a standard cube-shaped six-sided object with each side containing a number from 1 to 6, and where all numbers on all sides are distinct. You can assume that number *a* is closer to number *x* than number *b*, if |*a* - *x*| &lt; |*b* - *x*|.
[ { "input": "2 5", "output": "3 0 3" }, { "input": "2 4", "output": "2 1 3" }, { "input": "5 3", "output": "2 1 3" }, { "input": "1 6", "output": "3 0 3" }, { "input": "5 1", "output": "3 1 2" }, { "input": "6 3", "output": "2 0 4" }, { "inp...
109
0
3
182
472
Design Tutorial: Learn from Math
[ "math", "number theory" ]
null
null
One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that. For example, there is a statement called the "Goldbach's conjecture". It says: "each even number no less than four can be expressed as the sum of two ...
The only line contains an integer *n* (12<=≀<=*n*<=≀<=106).
Output two composite integers *x* and *y* (1<=&lt;<=*x*,<=*y*<=&lt;<=*n*) such that *x*<=+<=*y*<==<=*n*. If there are multiple solutions, you can output any of them.
[ "12\n", "15\n", "23\n", "1000000\n" ]
[ "4 8\n", "6 9\n", "8 15\n", "500000 500000\n" ]
In the first example, 12 = 4 + 8 and both 4, 8 are composite numbers. You can output "6 6" or "8 4" as well. In the second example, 15 = 6 + 9. Note that you can't output "1 14" because 1 is not a composite number.
[ { "input": "12", "output": "4 8" }, { "input": "15", "output": "6 9" }, { "input": "23", "output": "8 15" }, { "input": "1000000", "output": "500000 500000" }, { "input": "63874", "output": "4 63870" }, { "input": "14568", "output": "4 14564" }, ...
46
716,800
0
183
339
Helpful Maths
[ "greedy", "implementation", "sortings", "strings" ]
null
null
Xenia the beginner mathematician is a third year student at elementary school. She is now learning the addition operation. The teacher has written down the sum of multiple numbers. Pupils should calculate the sum. To make the calculation easier, the sum only contains numbers 1, 2 and 3. Still, that isn't enough for Xe...
The first line contains a non-empty string *s* β€” the sum Xenia needs to count. String *s* contains no spaces. It only contains digits and characters "+". Besides, string *s* is a correct sum of numbers 1, 2 and 3. String *s* is at most 100 characters long.
Print the new sum that Xenia can count.
[ "3+2+1\n", "1+1+3+1+3\n", "2\n" ]
[ "1+2+3\n", "1+1+1+3+3\n", "2\n" ]
none
[ { "input": "3+2+1", "output": "1+2+3" }, { "input": "1+1+3+1+3", "output": "1+1+1+3+3" }, { "input": "2", "output": "2" }, { "input": "2+2+1+1+3", "output": "1+1+2+2+3" }, { "input": "2+1+2+2+2+3+1+3+1+2", "output": "1+1+1+2+2+2+2+2+3+3" }, { "input": ...
92
0
3
184
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 5Β·*i* minutes to solve th...
The only line of the input contains two integers *n* and *k* (1<=≀<=*n*<=≀<=10, 1<=≀<=*k*<=≀<=240)Β β€” 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", ...
46
0
3
185
805
3-palindrome
[ "constructive algorithms" ]
null
null
In the beginning of the new year Keivan decided to reverse his name. He doesn't like palindromes, so he changed Naviek to Navick. He is too selfish, so for a given *n* he wants to obtain a string of *n* characters, each of which is either 'a', 'b' or 'c', with no palindromes of length 3 appearing in the string as a su...
The first line contains single integer *n* (1<=≀<=*n*<=≀<=2Β·105)Β β€” the length of the string.
Print the string that satisfies all the constraints. If there are multiple answers, print any of them.
[ "2\n", "3\n" ]
[ "aa\n", "bba\n" ]
A palindrome is a sequence of characters which reads the same backward and forward.
[ { "input": "2", "output": "aa" }, { "input": "3", "output": "aab" }, { "input": "38", "output": "aabbaabbaabbaabbaabbaabbaabbaabbaabbaa" }, { "input": "47", "output": "aabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaabbaab" }, { "input": "59", "output": "aabbaabbaabb...
31
0
0
186
34
Sale
[ "greedy", "sortings" ]
B. Sale
2
256
Once Bob got to a sale of old TV sets. There were *n* TV sets at that sale. TV set with index *i* costs *a**i* bellars. Some TV sets have a negative price β€” their owners are ready to pay Bob if he buys their useless apparatus. Bob can Β«buyΒ» any TV sets he wants. Though he's very strong, Bob can carry at most *m* TV set...
The first line contains two space-separated integers *n* and *m* (1<=≀<=*m*<=≀<=*n*<=≀<=100) β€” amount of TV sets at the sale, and amount of TV sets that Bob can carry. The following line contains *n* space-separated integers *a**i* (<=-<=1000<=≀<=*a**i*<=≀<=1000) β€” prices of the TV sets.
Output the only number β€” the maximum sum of money that Bob can earn, given that he can carry at most *m* TV sets.
[ "5 3\n-6 0 35 -2 4\n", "4 2\n7 0 0 -7\n" ]
[ "8\n", "7\n" ]
none
[ { "input": "5 3\n-6 0 35 -2 4", "output": "8" }, { "input": "4 2\n7 0 0 -7", "output": "7" }, { "input": "6 6\n756 -611 251 -66 572 -818", "output": "1495" }, { "input": "5 5\n976 437 937 788 518", "output": "0" }, { "input": "5 3\n-2 -2 -2 -2 -2", "output": "...
92
0
3.977
187
779
Pupils Redistribution
[ "constructive algorithms", "math" ]
null
null
In Berland each high school student is characterized by academic performance β€” integer value between 1 and 5. In high school 0xFF there are two groups of pupils: the group *A* and the group *B*. Each group consists of exactly *n* students. An academic performance of each student is known β€” integer value between 1 and ...
The first line of the input contains integer number *n* (1<=≀<=*n*<=≀<=100) β€” number of students in both groups. The second line contains sequence of integer numbers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=5), where *a**i* is academic performance of the *i*-th student of the group *A*. The third line contains se...
Print the required minimum number of exchanges or -1, if the desired distribution of students can not be obtained.
[ "4\n5 4 4 4\n5 5 4 5\n", "6\n1 1 1 1 1 1\n5 5 5 5 5 5\n", "1\n5\n3\n", "9\n3 2 5 5 2 3 3 3 2\n4 1 4 1 1 2 4 4 1\n" ]
[ "1\n", "3\n", "-1\n", "4\n" ]
none
[ { "input": "4\n5 4 4 4\n5 5 4 5", "output": "1" }, { "input": "6\n1 1 1 1 1 1\n5 5 5 5 5 5", "output": "3" }, { "input": "1\n5\n3", "output": "-1" }, { "input": "9\n3 2 5 5 2 3 3 3 2\n4 1 4 1 1 2 4 4 1", "output": "4" }, { "input": "1\n1\n2", "output": "-1" ...
62
4,608,000
3
188
884
Book Reading
[ "implementation" ]
null
null
Recently Luba bought a very interesting book. She knows that it will take *t* seconds to read the book. Luba wants to finish reading as fast as she can. But she has some work to do in each of *n* next days. The number of seconds that Luba has to spend working during *i*-th day is *a**i*. If some free time remains, she...
The first line contains two integers *n* and *t* (1<=≀<=*n*<=≀<=100, 1<=≀<=*t*<=≀<=106) β€” the number of days and the time required to read the book. The second line contains *n* integers *a**i* (0<=≀<=*a**i*<=≀<=86400) β€” the time Luba has to spend on her work during *i*-th day.
Print the minimum day Luba can finish reading the book. It is guaranteed that answer doesn't exceed *n*.
[ "2 2\n86400 86398\n", "2 86400\n0 86400\n" ]
[ "2\n", "1\n" ]
none
[ { "input": "2 2\n86400 86398", "output": "2" }, { "input": "2 86400\n0 86400", "output": "1" }, { "input": "2 86400\n1 86399", "output": "2" }, { "input": "100 1000000\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0...
109
307,200
0
189
111
Petya and Divisors
[ "binary search", "data structures", "number theory" ]
B. Petya and Divisors
5
256
Little Petya loves looking for numbers' divisors. One day Petya came across the following problem: You are given *n* queries in the form "*x**i* *y**i*". For each query Petya should count how many divisors of number *x**i* divide none of the numbers *x**i*<=-<=*y**i*,<=*x**i*<=-<=*y**i*<=+<=1,<=...,<=*x**i*<=-<=1. Hel...
The first line contains an integer *n* (1<=≀<=*n*<=≀<=105). Each of the following *n* lines contain two space-separated integers *x**i* and *y**i* (1<=≀<=*x**i*<=≀<=105, 0<=≀<=*y**i*<=≀<=*i*<=-<=1, where *i* is the query's ordinal number; the numeration starts with 1). If *y**i*<==<=0 for the query, then the answer t...
For each query print the answer on a single line: the number of positive integers *k* such that
[ "6\n4 0\n3 1\n5 2\n6 2\n18 4\n10000 3\n" ]
[ "3\n1\n1\n2\n2\n22\n" ]
Let's write out the divisors that give answers for the first 5 queries: 1) 1, 2, 4 2) 3 3) 5 4) 2, 6 5) 9, 18
[ { "input": "6\n4 0\n3 1\n5 2\n6 2\n18 4\n10000 3", "output": "3\n1\n1\n2\n2\n22" }, { "input": "5\n10 0\n10 0\n10 0\n10 0\n10 0", "output": "4\n4\n4\n4\n4" }, { "input": "12\n41684 0\n95210 1\n60053 1\n32438 3\n97956 1\n21785 2\n14594 6\n17170 4\n93937 6\n70764 5\n13695 4\n14552 6", ...
5,000
2,764,800
0
190
660
Co-prime Array
[ "greedy", "implementation", "math", "number theory" ]
null
null
You are given an array of *n* elements, you must make it a co-prime array in as few moves as possible. In each move you can insert any positive integral number you want not greater than 109 in any place in the array. An array is co-prime if any two adjacent numbers of it are co-prime. In the number theory, two integ...
The first line contains integer *n* (1<=≀<=*n*<=≀<=1000) β€” the number of elements in the given array. The second line contains *n* integers *a**i* (1<=≀<=*a**i*<=≀<=109) β€” the elements of the array *a*.
Print integer *k* on the first line β€” the least number of elements needed to add to the array *a* to make it co-prime. The second line should contain *n*<=+<=*k* integers *a**j* β€” the elements of the array *a* after adding *k* elements to it. Note that the new array should be co-prime, so any two adjacent values shoul...
[ "3\n2 7 28\n" ]
[ "1\n2 7 9 28\n" ]
none
[ { "input": "3\n2 7 28", "output": "1\n2 7 1 28" }, { "input": "1\n1", "output": "0\n1" }, { "input": "1\n548", "output": "0\n548" }, { "input": "1\n963837006", "output": "0\n963837006" }, { "input": "10\n1 1 1 1 1 1 1 1 1 1", "output": "0\n1 1 1 1 1 1 1 1 1 1"...
46
307,200
0
191
982
Bus of Characters
[ "data structures", "greedy", "implementation" ]
null
null
In the Bus of Characters there are $n$ rows of seat, each having $2$ seats. The width of both seats in the $i$-th row is $w_i$ centimeters. All integers $w_i$ are distinct. Initially the bus is empty. On each of $2n$ stops one passenger enters the bus. There are two types of passengers: - an introvert always choose...
The first line contains a single integer $n$ ($1 \le n \le 200\,000$) β€” the number of rows in the bus. The second line contains the sequence of integers $w_1, w_2, \dots, w_n$ ($1 \le w_i \le 10^{9}$), where $w_i$ is the width of each of the seats in the $i$-th row. It is guaranteed that all $w_i$ are distinct. The t...
Print $2n$ integers β€” the rows the passengers will take. The order of passengers should be the same as in input.
[ "2\n3 1\n0011\n", "6\n10 8 9 11 13 5\n010010011101\n" ]
[ "2 1 1 2 \n", "6 6 2 3 3 1 4 4 1 2 5 5 \n" ]
In the first example the first passenger (introvert) chooses the row $2$, because it has the seats with smallest width. The second passenger (introvert) chooses the row $1$, because it is the only empty row now. The third passenger (extrovert) chooses the row $1$, because it has exactly one occupied seat and the seat w...
[ { "input": "2\n3 1\n0011", "output": "2 1 1 2 " }, { "input": "6\n10 8 9 11 13 5\n010010011101", "output": "6 6 2 3 3 1 4 4 1 2 5 5 " }, { "input": "1\n1\n01", "output": "1 1 " }, { "input": "1\n1000000\n01", "output": "1 1 " }, { "input": "2\n1 1000000\n0011", ...
686
34,304,000
3
192
35
Shell Game
[ "implementation" ]
A. Shell Game
2
64
Today the Β«ZΒ» city residents enjoy a shell game competition. The residents are gathered on the main square to watch the breath-taking performance. The performer puts 3 non-transparent cups upside down in a row. Then he openly puts a small ball under one of the cups and starts to shuffle the cups around very quickly so ...
The first input line contains an integer from 1 to 3 β€” index of the cup which covers the ball before the shuffles. The following three lines describe the shuffles. Each description of a shuffle contains two distinct integers from 1 to 3 β€” indexes of the cups which the performer shuffled this time. The cups are numbered...
In the first line output an integer from 1 to 3 β€” index of the cup which will have the ball after all the shuffles.
[ "1\n1 2\n2 1\n2 1\n", "1\n2 1\n3 1\n1 3\n" ]
[ "2\n", "2\n" ]
none
[ { "input": "1\n1 2\n2 1\n2 1", "output": "2" }, { "input": "1\n2 1\n3 1\n1 3", "output": "2" }, { "input": "3\n3 1\n2 1\n1 2", "output": "1" }, { "input": "1\n1 3\n1 2\n2 3", "output": "2" }, { "input": "3\n3 2\n3 1\n3 1", "output": "2" }, { "input": "...
0
0
-1
195
879
Table Tennis
[ "data structures", "implementation" ]
null
null
*n* people are standing in a line to play table tennis. At first, the first two players in the line play a game. Then the loser goes to the end of the line, and the winner plays with the next person from the line, and so on. They play until someone wins *k* games in a row. This player becomes the winner. For each of t...
The first line contains two integers: *n* and *k* (2<=≀<=*n*<=≀<=500, 2<=≀<=*k*<=≀<=1012)Β β€” the number of people and the number of wins. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=*n*) β€” powers of the player. It's guaranteed that this line contains a valid permutation, i.e. all ...
Output a single integer β€” power of the winner.
[ "2 2\n1 2\n", "4 2\n3 1 2 4\n", "6 2\n6 5 3 1 2 4\n", "2 10000000000\n2 1\n" ]
[ "2 ", "3 ", "6 ", "2\n" ]
Games in the second sample: 3 plays with 1. 3 wins. 1 goes to the end of the line. 3 plays with 2. 3 wins. He wins twice in a row. He becomes the winner.
[ { "input": "2 2\n1 2", "output": "2 " }, { "input": "4 2\n3 1 2 4", "output": "3 " }, { "input": "6 2\n6 5 3 1 2 4", "output": "6 " }, { "input": "2 10000000000\n2 1", "output": "2" }, { "input": "4 4\n1 3 4 2", "output": "4 " }, { "input": "2 21474836...
108
1,228,800
3
197
777
Cloud of Hashtags
[ "binary search", "greedy", "implementation", "strings" ]
null
null
Vasya is an administrator of a public page of organization "Mouse and keyboard" and his everyday duty is to publish news from the world of competitive programming. For each news he also creates a list of hashtags to make searching for a particular topic more comfortable. For the purpose of this problem we define hashta...
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=500<=000)Β β€” the number of hashtags being edited now. Each of the next *n* lines contains exactly one hashtag of positive length. It is guaranteed that the total length of all hashtags (i.e. the total length of the string except for characters '#...
Print the resulting hashtags in any of the optimal solutions.
[ "3\n#book\n#bigtown\n#big\n", "3\n#book\n#cool\n#cold\n", "4\n#car\n#cart\n#art\n#at\n", "3\n#apple\n#apple\n#fruit\n" ]
[ "#b\n#big\n#big\n", "#book\n#co\n#cold\n", "#\n#\n#art\n#at\n", "#apple\n#apple\n#fruit\n" ]
Word *a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*m*</sub> of length *m* is lexicographically not greater than word *b*<sub class="lower-index">1</sub>, *b*<sub class="lower-index">2</sub>, ..., *b*<sub class="lower-index">*k*</sub> of length *k*, if one of...
[ { "input": "3\n#book\n#bigtown\n#big", "output": "#b\n#big\n#big" }, { "input": "3\n#book\n#cool\n#cold", "output": "#book\n#co\n#cold" }, { "input": "4\n#car\n#cart\n#art\n#at", "output": "#\n#\n#art\n#at" }, { "input": "3\n#apple\n#apple\n#fruit", "output": "#apple\n#ap...
2,000
24,371,200
0
198
92
Chips
[ "implementation", "math" ]
A. Chips
2
256
There are *n* walruses sitting in a circle. All of them are numbered in the clockwise order: the walrus number 2 sits to the left of the walrus number 1, the walrus number 3 sits to the left of the walrus number 2, ..., the walrus number 1 sits to the left of the walrus number *n*. The presenter has *m* chips. The pre...
The first line contains two integers *n* and *m* (1<=≀<=*n*<=≀<=50, 1<=≀<=*m*<=≀<=104) β€” the number of walruses and the number of chips correspondingly.
Print the number of chips the presenter ended up with.
[ "4 11\n", "17 107\n", "3 8\n" ]
[ "0\n", "2\n", "1\n" ]
In the first sample the presenter gives one chip to the walrus number 1, two chips to the walrus number 2, three chips to the walrus number 3, four chips to the walrus number 4, then again one chip to the walrus number 1. After that the presenter runs out of chips. He can't give anything to the walrus number 2 and the ...
[ { "input": "4 11", "output": "0" }, { "input": "17 107", "output": "2" }, { "input": "3 8", "output": "1" }, { "input": "46 7262", "output": "35" }, { "input": "32 6864", "output": "0" }, { "input": "36 6218", "output": "14" }, { "input": "...
280
0
3.93
199
859
Pie Rules
[ "dp", "games" ]
null
null
You may have heard of the pie rule before. It states that if two people wish to fairly share a slice of pie, one person should cut the slice in half, and the other person should choose who gets which slice. Alice and Bob have many slices of pie, and rather than cutting the slices in half, each individual slice will be ...
Input will begin with an integer *N* (1<=≀<=*N*<=≀<=50), the number of slices of pie. Following this is a line with *N* integers indicating the sizes of the slices (each between 1 and 100000, inclusive), in the order in which they must be handed out.
Print two integers. First, the sum of the sizes of slices eaten by Alice, then the sum of the sizes of the slices eaten by Bob, assuming both players make their decisions optimally.
[ "3\n141 592 653\n", "5\n10 21 10 21 10\n" ]
[ "653 733\n", "31 41\n" ]
In the first example, Bob takes the size 141 slice for himself and gives the decider token to Alice. Then Alice gives the size 592 slice to Bob and keeps the decider token for herself, so that she can then give the size 653 slice to herself.
[ { "input": "3\n141 592 653", "output": "653 733" }, { "input": "5\n10 21 10 21 10", "output": "31 41" }, { "input": "1\n100000", "output": "0 100000" }, { "input": "50\n100000 100000 100000 100000 100000 100000 100000 100000 100000 100000 100000 100000 100000 100000 100000 10...
62
0
3
200
304
Pythagorean Theorem II
[ "brute force", "math" ]
null
null
In mathematics, the Pythagorean theorem β€” is a relation in Euclidean geometry among the three sides of a right-angled triangle. In terms of areas, it states: In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the s...
The only line contains one integer *n*Β (1<=≀<=*n*<=≀<=104) as we mentioned above.
Print a single integer β€” the answer to the problem.
[ "5\n", "74\n" ]
[ "1\n", "35\n" ]
none
[ { "input": "5", "output": "1" }, { "input": "74", "output": "35" }, { "input": "1000", "output": "881" }, { "input": "586", "output": "472" }, { "input": "2", "output": "0" }, { "input": "362", "output": "258" }, { "input": "778", "outp...
109
0
3
201
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...
93
0
3
202
734
Anton and Danik
[ "implementation", "strings" ]
null
null
Anton likes to play chess, and so does his friend Danik. Once they have played *n* games in a row. For each game it's known who was the winnerΒ β€” Anton or Danik. None of the games ended with a tie. Now Anton wonders, who won more games, he or Danik? Help him determine this.
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=100<=000)Β β€” the number of games played. The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D'Β β€” the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*...
If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output. If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output. If Anton and Danik won the same number of games, print "Friendship" (without quotes).
[ "6\nADAAAA\n", "7\nDDDAADA\n", "6\nDADADA\n" ]
[ "Anton\n", "Danik\n", "Friendship\n" ]
In the first sample, Anton won 6 games, while DanikΒ β€” only 1. Hence, the answer is "Anton". In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik". In the third sample, both Anton and Danik won 3 games and the answer is "Friendship".
[ { "input": "6\nADAAAA", "output": "Anton" }, { "input": "7\nDDDAADA", "output": "Danik" }, { "input": "6\nDADADA", "output": "Friendship" }, { "input": "10\nDDDDADDADD", "output": "Danik" }, { "input": "40\nAAAAAAAAADDAAAAAAAAAAADADDAAAAAAAAAAADAA", "output": ...
31
102,400
3
203
36
Extra-terrestrial Intelligence
[ "implementation" ]
A. Extra-terrestrial Intelligence
2
64
Recently Vasya got interested in finding extra-terrestrial intelligence. He made a simple extra-terrestrial signals’ receiver and was keeping a record of the signals for *n* days in a row. Each of those *n* days Vasya wrote a 1 in his notebook if he had received a signal that day and a 0 if he hadn’t. Vasya thinks that...
The first line contains integer *n* (3<=≀<=*n*<=≀<=100) β€” amount of days during which Vasya checked if there were any signals. The second line contains *n* characters 1 or 0 β€” the record Vasya kept each of those *n* days. It’s guaranteed that the given record sequence contains at least three 1s.
If Vasya has found extra-terrestrial intelligence, output YES, otherwise output NO.
[ "8\n00111000\n", "7\n1001011\n", "7\n1010100\n" ]
[ "YES\n", "NO\n", "YES\n" ]
none
[ { "input": "8\n00111000", "output": "YES" }, { "input": "7\n1001011", "output": "NO" }, { "input": "7\n1010100", "output": "YES" }, { "input": "5\n10101", "output": "YES" }, { "input": "3\n111", "output": "YES" }, { "input": "10\n0011111011", "outp...
2,000
6,963,200
0
204
39
Spelling Check
[ "hashing", "implementation", "strings" ]
J. Spelling Check
2
256
Petya has noticed that when he types using a keyboard, he often presses extra buttons and adds extra letters to the words. Of course, the spell-checking system underlines the words for him and he has to click every word and choose the right variant. Petya got fed up with correcting his mistakes himself, that’s why he d...
The input data contains two strings, consisting of lower-case Latin letters. The length of each string is from 1 to 106 symbols inclusive, the first string contains exactly 1 symbol more than the second one.
In the first line output the number of positions of the symbols in the first string, after the deleting of which the first string becomes identical to the second one. In the second line output space-separated positions of these symbols in increasing order. The positions are numbered starting from 1. If it is impossible...
[ "abdrakadabra\nabrakadabra\n", "aa\na\n", "competition\ncodeforces\n" ]
[ "1\n3\n", "2\n1 2\n", "0\n" ]
none
[ { "input": "abdrakadabra\nabrakadabra", "output": "1\n3 " }, { "input": "aa\na", "output": "2\n1 2 " }, { "input": "competition\ncodeforces", "output": "0" }, { "input": "ab\na", "output": "1\n2 " }, { "input": "bb\nb", "output": "2\n1 2 " }, { "input"...
62
0
0
205
0
none
[ "none" ]
null
null
A *k*-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by *k*. That is, there are no two integers *x* and *y* (*x*<=&lt;<=*y*) from the set, such that *y*<==<=*x*Β·*k*. You're given a set of *n* distinct positive integers. Your task is to find th...
The first line of the input contains two integers *n* and *k* (1<=≀<=*n*<=≀<=105,<=1<=≀<=*k*<=≀<=109). The next line contains a list of *n* distinct positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=109). All the numbers in the lines are separated by single spaces.
On the only line of the output print the size of the largest *k*-multiple free subset of {*a*1,<=*a*2,<=...,<=*a**n*}.
[ "6 2\n2 3 6 5 4 10\n" ]
[ "3\n" ]
In the sample input one of the possible maximum 2-multiple free subsets is {4, 5, 6}.
[ { "input": "6 2\n2 3 6 5 4 10", "output": "3" }, { "input": "10 2\n1 2 3 4 5 6 7 8 9 10", "output": "6" }, { "input": "1 1\n1", "output": "1" }, { "input": "100 2\n191 17 61 40 77 95 128 88 26 69 79 10 131 106 142 152 68 39 182 53 83 81 6 89 65 148 33 22 5 47 107 121 52 163 1...
280
20,172,800
0
206
785
Anton and Polyhedrons
[ "implementation", "strings" ]
null
null
Anton's favourite geometric figures are regular polyhedrons. Note that there are five kinds of regular polyhedrons: - Tetrahedron. Tetrahedron has 4 triangular faces. - Cube. Cube has 6 square faces. - Octahedron. Octahedron has 8 triangular faces. - Dodecahedron. Dodecahedron has 12 pentagonal faces. - Icosahed...
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=200<=000)Β β€” the number of polyhedrons in Anton's collection. Each of the following *n* lines of the input contains a string *s**i*Β β€” the name of the *i*-th polyhedron in Anton's collection. The string can look like this: - "Tetrahedron" (withou...
Output one numberΒ β€” the total number of faces in all the polyhedrons in Anton's collection.
[ "4\nIcosahedron\nCube\nTetrahedron\nDodecahedron\n", "3\nDodecahedron\nOctahedron\nOctahedron\n" ]
[ "42\n", "28\n" ]
In the first sample Anton has one icosahedron, one cube, one tetrahedron and one dodecahedron. Icosahedron has 20 faces, cube has 6 faces, tetrahedron has 4 faces and dodecahedron has 12 faces. In total, they have 20 + 6 + 4 + 12 = 42 faces.
[ { "input": "4\nIcosahedron\nCube\nTetrahedron\nDodecahedron", "output": "42" }, { "input": "3\nDodecahedron\nOctahedron\nOctahedron", "output": "28" }, { "input": "25\nIcosahedron\nOctahedron\nTetrahedron\nDodecahedron\nCube\nIcosahedron\nOctahedron\nCube\nTetrahedron\nIcosahedron\nIcosa...
1,076
16,486,400
3
208
197
Limit
[ "math" ]
null
null
You are given two polynomials: - *P*(*x*)<==<=*a*0Β·*x**n*<=+<=*a*1Β·*x**n*<=-<=1<=+<=...<=+<=*a**n*<=-<=1Β·*x*<=+<=*a**n* and - *Q*(*x*)<==<=*b*0Β·*x**m*<=+<=*b*1Β·*x**m*<=-<=1<=+<=...<=+<=*b**m*<=-<=1Β·*x*<=+<=*b**m*. Calculate limit .
The first line contains two space-separated integers *n* and *m* (0<=≀<=*n*,<=*m*<=≀<=100) β€” degrees of polynomials *P*(*x*) and *Q*(*x*) correspondingly. The second line contains *n*<=+<=1 space-separated integers β€” the factors of polynomial *P*(*x*): *a*0, *a*1, ..., *a**n*<=-<=1, *a**n* (<=-<=100<=≀<=*a**i*<=≀<=100...
If the limit equals <=+<=∞, print "Infinity" (without quotes). If the limit equals <=-<=∞, print "-Infinity" (without the quotes). If the value of the limit equals zero, print "0/1" (without the quotes). Otherwise, print an irreducible fraction β€” the value of limit , in the format "p/q" (without the quotes), where *p...
[ "2 1\n1 1 1\n2 5\n", "1 0\n-1 3\n2\n", "0 1\n1\n1 0\n", "2 2\n2 1 6\n4 5 -7\n", "1 1\n9 0\n-5 2\n" ]
[ "Infinity\n", "-Infinity\n", "0/1\n", "1/2\n", "-9/5\n" ]
Let's consider all samples: 1. <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c28febca257452afdfcbd6984ba8623911f9bdbc.png" style="max-width: 100.0%;max-height: 100.0%;"/> 1. <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1e55ecd04e54a45e5e0092ec9a5c1ea03bb...
[ { "input": "2 1\n1 1 1\n2 5", "output": "Infinity" }, { "input": "1 0\n-1 3\n2", "output": "-Infinity" }, { "input": "0 1\n1\n1 0", "output": "0/1" }, { "input": "2 2\n2 1 6\n4 5 -7", "output": "1/2" }, { "input": "1 1\n9 0\n-5 2", "output": "-9/5" }, { ...
342
1,536,000
3
209
703
Mishka and Game
[ "implementation" ]
null
null
Mishka is a little polar bear. As known, little bears loves spending their free time playing dice for chocolates. Once in a wonderful sunny morning, walking around blocks of ice, Mishka met her friend Chris, and they started playing the game. Rules of the game are very simple: at first number of rounds *n* is defined....
The first line of the input contains single integer *n* *n* (1<=≀<=*n*<=≀<=100)Β β€” the number of game rounds. The next *n* lines contains rounds description. *i*-th of them contains pair of integers *m**i* and *c**i* (1<=≀<=*m**i*,<=<=*c**i*<=≀<=6)Β β€” values on dice upper face after Mishka's and Chris' throws in *i*-th ...
If Mishka is the winner of the game, print "Mishka" (without quotes) in the only line. If Chris is the winner of the game, print "Chris" (without quotes) in the only line. If the result of the game is draw, print "Friendship is magic!^^" (without quotes) in the only line.
[ "3\n3 5\n2 1\n4 2\n", "2\n6 1\n1 6\n", "3\n1 5\n3 3\n2 2\n" ]
[ "Mishka", "Friendship is magic!^^", "Chris" ]
In the first sample case Mishka loses the first round, but wins second and third rounds and thus she is the winner of the game. In the second sample case Mishka wins the first round, Chris wins the second round, and the game ends with draw with score 1:1. In the third sample case Chris wins the first round, but there...
[ { "input": "3\n3 5\n2 1\n4 2", "output": "Mishka" }, { "input": "2\n6 1\n1 6", "output": "Friendship is magic!^^" }, { "input": "3\n1 5\n3 3\n2 2", "output": "Chris" }, { "input": "6\n4 1\n4 2\n5 3\n5 1\n5 3\n4 1", "output": "Mishka" }, { "input": "8\n2 4\n1 4\n1 ...
46
0
0
210
262
Roma and Changing Signs
[ "greedy" ]
null
null
Roma works in a company that sells TVs. Now he has to prepare a report for the last year. Roma has got a list of the company's incomes. The list is a sequence that consists of *n* integers. The total income of the company is the sum of all integers in sequence. Roma decided to perform exactly *k* changes of signs of s...
The first line contains two integers *n* and *k* (1<=≀<=*n*,<=*k*<=≀<=105), showing, how many numbers are in the sequence and how many swaps are to be made. The second line contains a non-decreasing sequence, consisting of *n* integers *a**i* (|*a**i*|<=≀<=104). The numbers in the lines are separated by single spaces...
In the single line print the answer to the problem β€” the maximum total income that we can obtain after exactly *k* changes.
[ "3 2\n-1 -1 1\n", "3 1\n-1 -1 1\n" ]
[ "3\n", "1\n" ]
In the first sample we can get sequence [1, 1, 1], thus the total income equals 3. In the second test, the optimal strategy is to get sequence [-1, 1, 1], thus the total income equals 1.
[ { "input": "3 2\n-1 -1 1", "output": "3" }, { "input": "3 1\n-1 -1 1", "output": "1" }, { "input": "17 27\n257 320 676 1136 2068 2505 2639 4225 4951 5786 7677 7697 7851 8337 8429 8469 9343", "output": "81852" }, { "input": "69 28\n-9822 -9264 -9253 -9221 -9139 -9126 -9096 -89...
2,000
6,860,800
0
211
66
Petya and Countryside
[ "brute force", "implementation" ]
B. Petya and Countryside
2
256
Little Petya often travels to his grandmother in the countryside. The grandmother has a large garden, which can be represented as a rectangle 1<=Γ—<=*n* in size, when viewed from above. This rectangle is divided into *n* equal square sections. The garden is very unusual as each of the square sections possesses its own f...
The first line contains a positive integer *n* (1<=≀<=*n*<=≀<=1000). The second line contains *n* positive integers which are the height of the sections. All the numbers are no less than 1 and not more than 1000.
Print a single number, the maximal number of watered sections if we create artificial rain above exactly one section.
[ "1\n2\n", "5\n1 2 1 2 1\n", "8\n1 2 1 1 1 3 3 4\n" ]
[ "1\n", "3\n", "6\n" ]
none
[ { "input": "1\n2", "output": "1" }, { "input": "5\n1 2 1 2 1", "output": "3" }, { "input": "8\n1 2 1 1 1 3 3 4", "output": "6" }, { "input": "10\n1 2 3 4 5 6 7 8 9 10", "output": "10" }, { "input": "10\n10 9 8 7 6 5 4 3 2 1", "output": "10" }, { "input...
872
307,200
3.781428
212
993
Careful Maneuvering
[ "bitmasks", "brute force", "geometry" ]
null
null
There are two small spaceship, surrounded by two groups of enemy larger spaceships. The space is a two-dimensional plane, and one group of the enemy spaceships is positioned in such a way that they all have integer $y$-coordinates, and their $x$-coordinate is equal to $-100$, while the second group is positioned in suc...
The first line contains two integers $n$ and $m$ ($1 \le n, m \le 60$), the number of enemy spaceships with $x = -100$ and the number of enemy spaceships with $x = 100$, respectively. The second line contains $n$ integers $y_{1,1}, y_{1,2}, \ldots, y_{1,n}$ ($|y_{1,i}| \le 10\,000$) β€” the $y$-coordinates of the spaces...
Print a single integer – the largest number of enemy spaceships that can be destroyed.
[ "3 9\n1 2 3\n1 2 3 7 8 9 11 12 13\n", "5 5\n1 2 3 4 5\n1 2 3 4 5\n" ]
[ "9\n", "10\n" ]
In the first example the first spaceship can be positioned at $(0, 2)$, and the second – at $(0, 7)$. This way all the enemy spaceships in the first group and $6$ out of $9$ spaceships in the second group will be destroyed. In the second example the first spaceship can be positioned at $(0, 3)$, and the second can be ...
[ { "input": "3 9\n1 2 3\n1 2 3 7 8 9 11 12 13", "output": "9" }, { "input": "5 5\n1 2 3 4 5\n1 2 3 4 5", "output": "10" }, { "input": "50 50\n744 333 562 657 680 467 357 376 759 311 371 327 369 172 286 577 446 922 16 69 350 92 627 852 878 733 148 857 663 969 131 250 563 665 67 169 178 625...
919
3,276,800
0
213
722
Verse Pattern
[ "implementation", "strings" ]
null
null
You are given a text consisting of *n* lines. Each line contains some space-separated words, consisting of lowercase English letters. We define a syllable as a string that contains exactly one vowel and any arbitrary number (possibly none) of consonants. In English alphabet following letters are considered to be vowel...
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=100)Β β€” the number of lines in the text. The second line contains integers *p*1,<=...,<=*p**n* (0<=≀<=*p**i*<=≀<=100)Β β€” the verse pattern. Next *n* lines contain the text itself. Text consists of lowercase English letters and spaces. It's guarant...
If the given text matches the given verse pattern, then print "YES" (without quotes) in the only line of the output. Otherwise, print "NO" (without quotes).
[ "3\n2 2 3\nintel\ncode\nch allenge\n", "4\n1 2 3 1\na\nbcdefghi\njklmnopqrstu\nvwxyz\n", "4\n13 11 15 15\nto be or not to be that is the question\nwhether tis nobler in the mind to suffer\nthe slings and arrows of outrageous fortune\nor to take arms against a sea of troubles\n" ]
[ "YES\n", "NO\n", "YES\n" ]
In the first sample, one can split words into syllables in the following way: Since the word "ch" in the third line doesn't contain vowels, we can ignore it. As the result we get 2 syllabels in first two lines and 3 syllables in the third one.
[ { "input": "3\n2 2 3\nintel\ncode\nch allenge", "output": "YES" }, { "input": "4\n1 2 3 1\na\nbcdefghi\njklmnopqrstu\nvwxyz", "output": "NO" }, { "input": "4\n13 11 15 15\nto be or not to be that is the question\nwhether tis nobler in the mind to suffer\nthe slings and arrows of outrageo...
77
0
3
215
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*<=Γ—<=*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...
78
4,608,000
3
217
548
Mike and Fax
[ "brute force", "implementation", "strings" ]
null
null
While Mike was walking in the subway, all the stuff in his back-bag dropped on the ground. There were several fax messages among them. He concatenated these strings in some order and now he has string *s*. He is not sure if this is his own back-bag or someone else's. He remembered that there were exactly *k* messages ...
The first line of input contains string *s* containing lowercase English letters (1<=≀<=|*s*|<=≀<=1000). The second line contains integer *k* (1<=≀<=*k*<=≀<=1000).
Print "YES"(without quotes) if he has worn his own back-bag or "NO"(without quotes) otherwise.
[ "saba\n2\n", "saddastavvat\n2\n" ]
[ "NO\n", "YES\n" ]
Palindrome is a string reading the same forward and backward. In the second sample, the faxes in his back-bag can be "saddas" and "tavvat".
[ { "input": "saba\n2", "output": "NO" }, { "input": "saddastavvat\n2", "output": "YES" }, { "input": "aaaaaaaaaa\n3", "output": "NO" }, { "input": "aaaaaa\n3", "output": "YES" }, { "input": "abaacca\n2", "output": "NO" }, { "input": "a\n1", "output"...
61
0
0
219
915
Browser
[ "implementation" ]
null
null
Luba is surfing the Internet. She currently has *n* opened tabs in her browser, indexed from 1 to *n* from left to right. The mouse cursor is currently located at the *pos*-th tab. Luba needs to use the tabs with indices from *l* to *r* (inclusive) for her studies, and she wants to close all the tabs that don't belong ...
The only line of input contains four integer numbers *n*, *pos*, *l*, *r* (1<=≀<=*n*<=≀<=100, 1<=≀<=*pos*<=≀<=*n*, 1<=≀<=*l*<=≀<=*r*<=≀<=*n*) β€” the number of the tabs, the cursor position and the segment which Luba needs to leave opened.
Print one integer equal to the minimum number of seconds required to close all the tabs outside the segment [*l*,<=*r*].
[ "6 3 2 4\n", "6 3 1 3\n", "5 2 1 5\n" ]
[ "5\n", "1\n", "0\n" ]
In the first test Luba can do the following operations: shift the mouse cursor to the tab 2, close all the tabs to the left of it, shift the mouse cursor to the tab 3, then to the tab 4, and then close all the tabs to the right of it. In the second test she only needs to close all the tabs to the right of the current ...
[ { "input": "6 3 2 4", "output": "5" }, { "input": "6 3 1 3", "output": "1" }, { "input": "5 2 1 5", "output": "0" }, { "input": "100 1 1 99", "output": "99" }, { "input": "100 50 1 99", "output": "50" }, { "input": "100 99 1 99", "output": "1" },...
61
5,632,000
0
220
12
Correct Solution?
[ "implementation", "sortings" ]
B. Correct Solution?
2
256
One cold winter evening Alice and her older brother Bob was sitting at home near the fireplace and giving each other interesting problems to solve. When it was Alice's turn, she told the number *n* to Bob and said: β€”Shuffle the digits in this number in order to obtain the smallest possible number without leading zeroe...
The first line contains one integer *n* (0<=≀<=*n*<=≀<=109) without leading zeroes. The second lines contains one integer *m* (0<=≀<=*m*<=≀<=109) β€” Bob's answer, possibly with leading zeroes.
Print OK if Bob's answer is correct and WRONG_ANSWER otherwise.
[ "3310\n1033\n", "4\n5\n" ]
[ "OK\n", "WRONG_ANSWER\n" ]
none
[ { "input": "3310\n1033", "output": "OK" }, { "input": "4\n5", "output": "WRONG_ANSWER" }, { "input": "40\n04", "output": "WRONG_ANSWER" }, { "input": "12\n12", "output": "OK" }, { "input": "432\n234", "output": "OK" }, { "input": "17109\n01179", "o...
216
0
0
221
237
Free Cash
[ "implementation" ]
null
null
Valera runs a 24/7 fast food cafe. He magically learned that next day *n* people will visit his cafe. For each person we know the arrival time: the *i*-th person comes exactly at *h**i* hours *m**i* minutes. The cafe spends less than a minute to serve each client, but if a client comes in and sees that there is no free...
The first line contains a single integer *n* (1<=≀<=*n*<=≀<=105), that is the number of cafe visitors. Each of the following *n* lines has two space-separated integers *h**i* and *m**i* (0<=≀<=*h**i*<=≀<=23;Β 0<=≀<=*m**i*<=≀<=59), representing the time when the *i*-th person comes into the cafe. Note that the time is...
Print a single integer β€” the minimum number of cashes, needed to serve all clients next day.
[ "4\n8 0\n8 10\n8 10\n8 45\n", "3\n0 12\n10 11\n22 22\n" ]
[ "2\n", "1\n" ]
In the first sample it is not enough one cash to serve all clients, because two visitors will come into cafe in 8:10. Therefore, if there will be one cash in cafe, then one customer will be served by it, and another one will not wait and will go away. In the second sample all visitors will come in different times, so ...
[ { "input": "4\n8 0\n8 10\n8 10\n8 45", "output": "2" }, { "input": "3\n0 12\n10 11\n22 22", "output": "1" }, { "input": "5\n12 8\n15 27\n15 27\n16 2\n19 52", "output": "2" }, { "input": "7\n5 6\n7 34\n7 34\n7 34\n12 29\n15 19\n20 23", "output": "3" }, { "input": "...
342
0
0
222
616
Dinner with Emma
[ "games", "greedy" ]
null
null
Jack decides to invite Emma out for a dinner. Jack is a modest student, he doesn't want to go to an expensive restaurant. Emma is a girl with high taste, she prefers elite places. Munhattan consists of *n* streets and *m* avenues. There is exactly one restaurant on the intersection of each street and avenue. The stree...
The first line contains two integers *n*,<=*m* (1<=≀<=*n*,<=*m*<=≀<=100) β€” the number of streets and avenues in Munhattan. Each of the next *n* lines contains *m* integers *c**ij* (1<=≀<=*c**ij*<=≀<=109) β€” the cost of the dinner in the restaurant on the intersection of the *i*-th street and the *j*-th avenue.
Print the only integer *a* β€” the cost of the dinner for Jack and Emma.
[ "3 4\n4 1 3 5\n2 2 2 2\n5 4 5 1\n", "3 3\n1 2 3\n2 3 1\n3 1 2\n" ]
[ "2\n", "1\n" ]
In the first example if Emma chooses the first or the third streets Jack can choose an avenue with the cost of the dinner 1. So she chooses the second street and Jack chooses any avenue. The cost of the dinner is 2. In the second example regardless of Emma's choice Jack can choose a restaurant with the cost of the din...
[ { "input": "3 4\n4 1 3 5\n2 2 2 2\n5 4 5 1", "output": "2" }, { "input": "3 3\n1 2 3\n2 3 1\n3 1 2", "output": "1" }, { "input": "1 1\n1", "output": "1" }, { "input": "1 10\n74 35 82 39 1 84 29 41 70 12", "output": "1" }, { "input": "10 1\n44\n23\n65\n17\n48\n29\n...
15
0
0
225
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) β€” 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) β€” 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"...
46
0
3
226
74
Room Leader
[ "implementation" ]
A. Room Leader
2
256
Let us remind you part of the rules of Codeforces. The given rules slightly simplified, use the problem statement as a formal document. In the beginning of the round the contestants are divided into rooms. Each room contains exactly *n* participants. During the contest the participants are suggested to solve five prob...
The first line contains an integer *n*, which is the number of contestants in the room (1<=≀<=*n*<=≀<=50). The next *n* lines contain the participants of a given room. The *i*-th line has the format of "*handle**i* *plus**i* *minus**i* *a**i* *b**i* *c**i* *d**i* *e**i*" β€” it is the handle of a contestant, the number o...
Print on the single line the handle of the room leader.
[ "5\nPetr 3 1 490 920 1000 1200 0\ntourist 2 0 490 950 1100 1400 0\nEgor 7 0 480 900 950 0 1000\nc00lH4x0R 0 10 150 0 0 0 0\nsome_participant 2 1 450 720 900 0 0\n" ]
[ "tourist" ]
The number of points that each participant from the example earns, are as follows: - Petr β€” 3860 - tourist β€” 4140 - Egor β€” 4030 - c00lH4x0R β€”  - 350 - some_participant β€” 2220 Thus, the leader of the room is tourist.
[ { "input": "5\nPetr 3 1 490 920 1000 1200 0\ntourist 2 0 490 950 1100 1400 0\nEgor 7 0 480 900 950 0 1000\nc00lH4x0R 0 10 150 0 0 0 0\nsome_participant 2 1 450 720 900 0 0", "output": "tourist" }, { "input": "1\nA 0 0 200 0 0 0 0", "output": "A" }, { "input": "2\n12345678901234567890 1 0...
92
0
-1
227