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New Skateboard
[ "dp" ]
null
null
Max wants to buy a new skateboard. He has calculated the amount of money that is needed to buy a new skateboard. He left a calculator on the floor and went to ask some money from his parents. Meanwhile his little brother Yusuf came and started to press the keys randomly. Unfortunately Max has forgotten the number which...
The only line contains string *s* (1<=≀<=|*s*|<=≀<=3Β·105). The string *s* contains only digits from 0 to 9.
Print integer *a* β€” the number of substrings of the string *s* that are divisible by 4. Note that the answer can be huge, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type.
[ "124\n", "04\n", "5810438174\n" ]
[ "4\n", "3\n", "9\n" ]
none
[ { "input": "124", "output": "4" }, { "input": "04", "output": "3" }, { "input": "5810438174", "output": "9" }, { "input": "1", "output": "0" }, { "input": "039", "output": "1" }, { "input": "97247", "output": "6" }, { "input": "5810438174",...
327
614,400
3
939
300
Beautiful Numbers
[ "brute force", "combinatorics" ]
null
null
Vitaly is a very weird man. He's got two favorite digits *a* and *b*. Vitaly calls a positive integer good, if the decimal representation of this integer only contains digits *a* and *b*. Vitaly calls a good number excellent, if the sum of its digits is a good number. For example, let's say that Vitaly's favourite dig...
The first line contains three integers: *a*, *b*, *n* (1<=≀<=*a*<=&lt;<=*b*<=≀<=9,<=1<=≀<=*n*<=≀<=106).
Print a single integer β€” the answer to the problem modulo 1000000007 (109<=+<=7).
[ "1 3 3\n", "2 3 10\n" ]
[ "1\n", "165\n" ]
none
[ { "input": "1 3 3", "output": "1" }, { "input": "2 3 10", "output": "165" }, { "input": "6 8 14215", "output": "651581472" }, { "input": "4 9 104671", "output": "329390901" }, { "input": "6 7 78755", "output": "0" }, { "input": "1 8 265", "output":...
1,090
27,648,000
3
940
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
512,000
0
943
81
Sequence Formatting
[ "implementation", "strings" ]
B. Sequence Formatting
2
256
Polycarp is very careful. He even types numeric sequences carefully, unlike his classmates. If he sees a sequence without a space after the comma, with two spaces in a row, or when something else does not look neat, he rushes to correct it. For example, number sequence written like "1,2Β ,3,...,Β Β Β 10" will be corrected ...
The input data contains a single string *s*. Its length is from 1 to 255 characters. The string *s* does not begin and end with a space. Its content matches the description given above.
Print the string *s* after it is processed. Your program's output should be exactly the same as the expected answer. It is permissible to end output line with a line-break character, and without it.
[ "1,2 ,3,..., 10\n", "1,,,4...5......6\n", "...,1,2,3,...\n" ]
[ "1, 2, 3, ..., 10\n", "1, , , 4 ...5 ... ...6\n", "..., 1, 2, 3, ...\n" ]
none
[ { "input": "1,2 ,3,..., 10", "output": "1, 2, 3, ..., 10" }, { "input": "1,,,4...5......6", "output": "1, , , 4 ...5 ... ...6" }, { "input": ",,,,,,,,,,,,,", "output": ", , , , , , , , , , , , ," }, { "input": "123456789", "output": "123456789" }, { "input": "...
184
0
0
944
805
Fake NP
[ "greedy", "math" ]
null
null
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path. You are given *l* and *r*. For all integers from *l* to *r*, inclusive, we wrote down all of their integer divisors except 1. Find the integer that we wrote down the maximum number of times...
The first line contains two integers *l* and *r* (2<=≀<=*l*<=≀<=*r*<=≀<=109).
Print single integer, the integer that appears maximum number of times in the divisors. If there are multiple answers, print any of them.
[ "19 29\n", "3 6\n" ]
[ "2\n", "3\n" ]
Definition of a divisor: [https://www.mathsisfun.com/definitions/divisor-of-an-integer-.html](https://www.mathsisfun.com/definitions/divisor-of-an-integer-.html) The first example: from 19 to 29 these numbers are divisible by 2: {20, 22, 24, 26, 28}. The second example: from 3 to 6 these numbers are divisible by 3: {...
[ { "input": "19 29", "output": "2" }, { "input": "3 6", "output": "2" }, { "input": "39 91", "output": "2" }, { "input": "76 134", "output": "2" }, { "input": "93 95", "output": "2" }, { "input": "17 35", "output": "2" }, { "input": "94 95",...
218
2,560,000
-1
946
292
Network Topology
[ "graphs", "implementation" ]
null
null
This problem uses a simplified network topology model, please read the problem statement carefully and use it as a formal document as you develop the solution. Polycarpus continues working as a system administrator in a large corporation. The computer network of this corporation consists of *n* computers, some of them...
The first line contains two space-separated integers *n* and *m* (4<=≀<=*n*<=≀<=105;Β 3<=≀<=*m*<=≀<=105) β€” the number of nodes and edges in the graph, correspondingly. Next *m* lines contain the description of the graph's edges. The *i*-th line contains a space-separated pair of integers *x**i*, *y**i* (1<=≀<=*x**i*,<=*...
In a single line print the network topology name of the given graph. If the answer is the bus, print "bus topology" (without the quotes), if the answer is the ring, print "ring topology" (without the quotes), if the answer is the star, print "star topology" (without the quotes). If no answer fits, print "unknown topolo...
[ "4 3\n1 2\n2 3\n3 4\n", "4 4\n1 2\n2 3\n3 4\n4 1\n", "4 3\n1 2\n1 3\n1 4\n", "4 4\n1 2\n2 3\n3 1\n1 4\n" ]
[ "bus topology\n", "ring topology\n", "star topology\n", "unknown topology\n" ]
none
[ { "input": "4 3\n1 2\n2 3\n3 4", "output": "bus topology" }, { "input": "4 4\n1 2\n2 3\n3 4\n4 1", "output": "ring topology" }, { "input": "4 3\n1 2\n1 3\n1 4", "output": "star topology" }, { "input": "4 4\n1 2\n2 3\n3 1\n1 4", "output": "unknown topology" }, { "i...
654
716,800
3
947
387
George and Round
[ "brute force", "greedy", "two pointers" ]
null
null
George decided to prepare a Codesecrof round, so he has prepared *m* problems for the round. Let's number the problems with integers 1 through *m*. George estimates the *i*-th problem's complexity by integer *b**i*. To make the round good, he needs to put at least *n* problems there. Besides, he needs to have at least...
The first line contains two integers *n* and *m* (1<=≀<=*n*,<=*m*<=≀<=3000) β€” the minimal number of problems in a good round and the number of problems George's prepared. The second line contains space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a*1<=&lt;<=*a*2<=&lt;<=...<=&lt;<=*a**n*<=≀<=106) β€” the requirem...
Print a single integer β€” the answer to the problem.
[ "3 5\n1 2 3\n1 2 2 3 3\n", "3 5\n1 2 3\n1 1 1 1 1\n", "3 1\n2 3 4\n1\n" ]
[ "0\n", "2\n", "3\n" ]
In the first sample the set of the prepared problems meets the requirements for a good round. In the second sample, it is enough to come up with and prepare two problems with complexities 2 and 3 to get a good round. In the third sample it is very easy to get a good round if come up with and prepare extra problems wi...
[ { "input": "3 5\n1 2 3\n1 2 2 3 3", "output": "0" }, { "input": "3 5\n1 2 3\n1 1 1 1 1", "output": "2" }, { "input": "3 1\n2 3 4\n1", "output": "3" }, { "input": "29 100\n20 32 41 67 72 155 331 382 399 412 465 470 484 511 515 529 616 637 679 715 733 763 826 843 862 903 925 97...
46
6,963,200
0
951
489
Given Length and Sum of Digits...
[ "dp", "greedy", "implementation" ]
null
null
You have a positive integer *m* and a non-negative integer *s*. Your task is to find the smallest and the largest of the numbers that have length *m* and sum of digits *s*. The required numbers should be non-negative integers written in the decimal base without leading zeroes.
The single line of the input contains a pair of integers *m*, *s* (1<=≀<=*m*<=≀<=100,<=0<=≀<=*s*<=≀<=900) β€” the length and the sum of the digits of the required numbers.
In the output print the pair of the required non-negative integer numbers β€” first the minimum possible number, then β€” the maximum possible number. If no numbers satisfying conditions required exist, print the pair of numbers "-1 -1" (without the quotes).
[ "2 15\n", "3 0\n" ]
[ "69 96\n", "-1 -1\n" ]
none
[ { "input": "2 15", "output": "69 96" }, { "input": "3 0", "output": "-1 -1" }, { "input": "2 1", "output": "10 10" }, { "input": "3 10", "output": "109 910" }, { "input": "100 100", "output": "1000000000000000000000000000000000000000000000000000000000000000000...
46
0
3
953
535
Tavas and SaDDas
[ "bitmasks", "brute force", "combinatorics", "implementation" ]
null
null
Once again Tavas started eating coffee mix without water! Keione told him that it smells awful, but he didn't stop doing that. That's why Keione told his smart friend, SaDDas to punish him! SaDDas took Tavas' headphones and told him: "If you solve the following problem, I'll return it to you." The problem is: You ar...
The first and only line of input contains a lucky number *n* (1<=≀<=*n*<=≀<=109).
Print the index of *n* among all lucky numbers.
[ "4\n", "7\n", "77\n" ]
[ "1\n", "2\n", "6\n" ]
none
[ { "input": "4", "output": "1" }, { "input": "7", "output": "2" }, { "input": "77", "output": "6" }, { "input": "4", "output": "1" }, { "input": "474744", "output": "83" }, { "input": "777774", "output": "125" }, { "input": "447", "outpu...
62
0
3
955
691
Fashion in Berland
[ "implementation" ]
null
null
According to rules of the Berland fashion, a jacket should be fastened by all the buttons except only one, but not necessarily it should be the last one. Also if the jacket has only one button, it should be fastened, so the jacket will not swinging open. You are given a jacket with *n* buttons. Determine if it is fast...
The first line contains integer *n* (1<=≀<=*n*<=≀<=1000) β€” the number of buttons on the jacket. The second line contains *n* integers *a**i* (0<=≀<=*a**i*<=≀<=1). The number *a**i*<==<=0 if the *i*-th button is not fastened. Otherwise *a**i*<==<=1.
In the only line print the word "YES" if the jacket is fastened in a right way. Otherwise print the word "NO".
[ "3\n1 0 1\n", "3\n1 0 0\n" ]
[ "YES\n", "NO\n" ]
none
[ { "input": "3\n1 0 1", "output": "YES" }, { "input": "3\n1 0 0", "output": "NO" }, { "input": "3\n1 1 0", "output": "YES" }, { "input": "3\n1 1 1", "output": "NO" }, { "input": "3\n0 0 1", "output": "NO" }, { "input": "3\n0 0 0", "output": "NO" }...
77
6,758,400
0
958
545
Equidistant String
[ "greedy" ]
null
null
Little Susie loves strings. Today she calculates distances between them. As Susie is a small girl after all, her strings contain only digits zero and one. She uses the definition of Hamming distance: We will define the distance between two strings *s* and *t* of the same length consisting of digits zero and one as the...
The first line contains string *s* of length *n*. The second line contains string *t* of length *n*. The length of string *n* is within range from 1 to 105. It is guaranteed that both strings contain only digits zero and one.
Print a string of length *n*, consisting of digits zero and one, that meets the problem statement. If no such string exist, print on a single line "impossible" (without the quotes). If there are multiple possible answers, print any of them.
[ "0001\n1011\n", "000\n111\n" ]
[ "0011\n", "impossible\n" ]
In the first sample different answers are possible, namely β€” 0010, 0011, 0110, 0111, 1000, 1001, 1100, 1101.
[ { "input": "0001\n1011", "output": "0011" }, { "input": "000\n111", "output": "impossible" }, { "input": "1010101011111110111111001111111111111111111111101101110111111111111110110110101011111110110111111101\n01011111110001000101000011000101010000000110000000000110110000011001000011101110...
31
0
0
959
719
Vitya in the Countryside
[ "implementation" ]
null
null
Every summer Vitya comes to visit his grandmother in the countryside. This summer, he got a huge wart. Every grandma knows that one should treat warts when the moon goes down. Thus, Vitya has to catch the moment when the moon is down. Moon cycle lasts 30 days. The size of the visible part of the moon (in Vitya's units...
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=92)Β β€” the number of consecutive days Vitya was watching the size of the visible part of the moon. The second line contains *n* integers *a**i* (0<=≀<=*a**i*<=≀<=15)Β β€” Vitya's records. It's guaranteed that the input data is consistent.
If Vitya can be sure that the size of visible part of the moon on day *n*<=+<=1 will be less than the size of the visible part on day *n*, then print "DOWN" at the only line of the output. If he might be sure that the size of the visible part will increase, then print "UP". If it's impossible to determine what exactly ...
[ "5\n3 4 5 6 7\n", "7\n12 13 14 15 14 13 12\n", "1\n8\n" ]
[ "UP\n", "DOWN\n", "-1\n" ]
In the first sample, the size of the moon on the next day will be equal to 8, thus the answer is "UP". In the second sample, the size of the moon on the next day will be 11, thus the answer is "DOWN". In the third sample, there is no way to determine whether the size of the moon on the next day will be 7 or 9, thus t...
[ { "input": "5\n3 4 5 6 7", "output": "UP" }, { "input": "7\n12 13 14 15 14 13 12", "output": "DOWN" }, { "input": "1\n8", "output": "-1" }, { "input": "44\n7 8 9 10 11 12 13 14 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 14 13 12 11 10", "out...
46
0
0
961
682
Alyona and Mex
[ "sortings" ]
null
null
Someone gave Alyona an array containing *n* positive integers *a*1,<=*a*2,<=...,<=*a**n*. In one operation, Alyona can choose any element of the array and decrease it, i.e. replace with any positive integer that is smaller than the current one. Alyona can repeat this operation as many times as she wants. In particular,...
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=100<=000)Β β€” the number of elements in the Alyona's array. The second line of the input contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=109)Β β€” the elements of the array.
Print one positive integerΒ β€” the maximum possible value of mex of the array after Alyona applies some (possibly none) operations.
[ "5\n1 3 3 3 6\n", "2\n2 1\n" ]
[ "5\n", "3\n" ]
In the first sample case if one will decrease the second element value to 2 and the fifth element value to 4 then the mex value of resulting array 1 2 3 3 4 will be equal to 5. To reach the answer to the second sample case one must not decrease any of the array elements.
[ { "input": "5\n1 3 3 3 6", "output": "5" }, { "input": "2\n2 1", "output": "3" }, { "input": "1\n1", "output": "2" }, { "input": "1\n1000000000", "output": "2" }, { "input": "1\n2", "output": "2" }, { "input": "2\n1 1", "output": "2" }, { "...
108
9,830,400
3
962
672
Different is Good
[ "constructive algorithms", "implementation", "strings" ]
null
null
A wise man told Kerem "Different is good" once, so Kerem wants all things in his life to be different. Kerem recently got a string *s* consisting of lowercase English letters. Since Kerem likes it when things are different, he wants all substrings of his string *s* to be distinct. Substring is a string formed by some...
The first line of the input contains an integer *n* (1<=≀<=*n*<=≀<=100<=000)Β β€” the length of the string *s*. The second line contains the string *s* of length *n* consisting of only lowercase English letters.
If it's impossible to change the string *s* such that all its substring are distinct print -1. Otherwise print the minimum required number of changes.
[ "2\naa\n", "4\nkoko\n", "5\nmurat\n" ]
[ "1\n", "2\n", "0\n" ]
In the first sample one of the possible solutions is to change the first character to 'b'. In the second sample, one may change the first character to 'a' and second character to 'b', so the string becomes "abko".
[ { "input": "2\naa", "output": "1" }, { "input": "4\nkoko", "output": "2" }, { "input": "5\nmurat", "output": "0" }, { "input": "6\nacbead", "output": "1" }, { "input": "7\ncdaadad", "output": "4" }, { "input": "25\npeoaicnbisdocqofsqdpgobpn", "outp...
265
268,390,400
0
963
957
Tritonic Iridescence
[ "implementation" ]
null
null
Overlooking the captivating blend of myriads of vernal hues, Arkady the painter lays out a long, long canvas. Arkady has a sufficiently large amount of paint of three colours: cyan, magenta, and yellow. On the one-dimensional canvas split into *n* consecutive segments, each segment needs to be painted in one of the co...
The first line contains a single positive integer *n* (1<=≀<=*n*<=≀<=100)Β β€” the length of the canvas. The second line contains a string *s* of *n* characters, the *i*-th of which is either 'C' (denoting a segment painted in cyan), 'M' (denoting one painted in magenta), 'Y' (one painted in yellow), or '?' (an unpainted...
If there are at least two different ways of painting, output "Yes"; otherwise output "No" (both without quotes). You can print each character in any case (upper or lower).
[ "5\nCY??Y\n", "5\nC?C?Y\n", "5\n?CYC?\n", "5\nC??MM\n", "3\nMMY\n" ]
[ "Yes\n", "Yes\n", "Yes\n", "No\n", "No\n" ]
For the first example, there are exactly two different ways of colouring: CYCMY and CYMCY. For the second example, there are also exactly two different ways of colouring: CMCMY and CYCMY. For the third example, there are four ways of colouring: MCYCM, MCYCY, YCYCM, and YCYCY. For the fourth example, no matter how th...
[ { "input": "5\nCY??Y", "output": "Yes" }, { "input": "5\nC?C?Y", "output": "Yes" }, { "input": "5\n?CYC?", "output": "Yes" }, { "input": "5\nC??MM", "output": "No" }, { "input": "3\nMMY", "output": "No" }, { "input": "15\n??YYYYYY??YYYY?", "output"...
93
7,065,600
0
965
27
Tournament
[ "bitmasks", "brute force", "dfs and similar", "greedy" ]
B. Tournament
2
256
The tournament Β«Sleepyhead-2010Β» in the rapid falling asleep has just finished in Berland. *n* best participants from the country have participated in it. The tournament consists of games, each of them is a match between two participants. *n*Β·(*n*<=-<=1)<=/<=2 games were played during the tournament, and each participa...
The first line contains one integer *n* (3<=≀<=*n*<=≀<=50) β€” the number of participants. The following *n*Β·(*n*<=-<=1)<=/<=2<=-<=1 lines contain the results of the games. Each game is described in a single line by two integers *x**i*,<=*y**i* (1<=≀<=*x**i*,<=*y**i*<=≀<=*n*,<=*x**i*<=β‰ <=*y**i*), where *x**i* ΠΈ *y**i* ar...
Output two integers *x* and *y* β€” the missing record. If there are several solutions, output any of them.
[ "4\n4 2\n4 1\n2 3\n2 1\n3 1\n" ]
[ "4 3\n" ]
none
[ { "input": "3\n3 2\n1 2", "output": "1 3" }, { "input": "4\n2 4\n3 4\n1 2\n1 4\n1 3", "output": "2 3" }, { "input": "5\n3 5\n2 5\n1 5\n1 4\n4 3\n1 3\n2 3\n4 5\n4 2", "output": "1 2" }, { "input": "6\n3 4\n3 5\n5 4\n1 2\n5 6\n2 6\n5 2\n3 6\n3 2\n4 6\n2 4\n1 3\n1 5\n1 4", "...
154
204,800
0
967
767
Snacktower
[ "data structures", "implementation" ]
null
null
According to an old legeng, a long time ago Ankh-Morpork residents did something wrong to miss Fortune, and she cursed them. She said that at some time *n* snacks of distinct sizes will fall on the city, and the residents should build a Snacktower of them by placing snacks one on another. Of course, big snacks should b...
The first line contains single integer *n* (1<=≀<=*n*<=≀<=100<=000)Β β€” the total number of snacks. The second line contains *n* integers, the *i*-th of them equals the size of the snack which fell on the *i*-th day. Sizes are distinct integers from 1 to *n*.
Print *n* lines. On the *i*-th of them print the sizes of the snacks which the residents placed on the top of the Snacktower on the *i*-th day in the order they will do that. If no snack is placed on some day, leave the corresponding line empty.
[ "3\n3 1 2\n", "5\n4 5 1 2 3\n" ]
[ "3\nΒ \n2 1", "5 4\nΒ \nΒ \n3 2 1\n" ]
In the example a snack of size 3 fell on the first day, and the residents immediately placed it. On the second day a snack of size 1 fell, and the residents weren't able to place it because they were missing the snack of size 2. On the third day a snack of size 2 fell, and the residents immediately placed it. Right aft...
[ { "input": "3\n3 1 2", "output": "3 \n\n2 1 " }, { "input": "5\n4 5 1 2 3", "output": "5 4 \n\n\n3 2 1 " }, { "input": "1\n1", "output": "1 " }, { "input": "2\n1 2", "output": "2 1 " }, { "input": "10\n5 1 6 2 8 3 4 10 9 7", "output": "10 \n9 8 \n7 6 5 4 3 2 1...
31
0
0
968
849
Odds and Ends
[ "implementation" ]
null
null
Where do odds begin, and where do they end? Where does hope emerge, and will they ever break? Given an integer sequence *a*1,<=*a*2,<=...,<=*a**n* of length *n*. Decide whether it is possible to divide it into an odd number of non-empty subsegments, the each of which has an odd length and begins and ends with odd numb...
The first line of input contains a non-negative integer *n* (1<=≀<=*n*<=≀<=100) β€” the length of the sequence. The second line contains *n* space-separated non-negative integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≀<=*a**i*<=≀<=100) β€” the elements of the sequence.
Output "Yes" if it's possible to fulfill the requirements, and "No" otherwise. You can output each letter in any case (upper or lower).
[ "3\n1 3 5\n", "5\n1 0 1 5 1\n", "3\n4 3 1\n", "4\n3 9 9 3\n" ]
[ "Yes\n", "Yes\n", "No\n", "No\n" ]
In the first example, divide the sequence into 1 subsegment: {1, 3, 5} and the requirements will be met. In the second example, divide the sequence into 3 subsegments: {1, 0, 1}, {5}, {1}. In the third example, one of the subsegments must start with 4 which is an even number, thus the requirements cannot be met. In ...
[ { "input": "3\n1 3 5", "output": "Yes" }, { "input": "5\n1 0 1 5 1", "output": "Yes" }, { "input": "3\n4 3 1", "output": "No" }, { "input": "4\n3 9 9 3", "output": "No" }, { "input": "1\n1", "output": "Yes" }, { "input": "5\n100 99 100 99 99", "out...
62
0
3
969
245
System Administrator
[ "implementation" ]
null
null
Polycarpus is a system administrator. There are two servers under his strict guidance β€” *a* and *b*. To stay informed about the servers' performance, Polycarpus executes commands "ping a" and "ping b". Each ping command sends exactly ten packets to the server specified in the argument of the command. Executing a progra...
The first line contains a single integer *n* (2<=≀<=*n*<=≀<=1000) β€” the number of commands Polycarpus has fulfilled. Each of the following *n* lines contains three integers β€” the description of the commands. The *i*-th of these lines contains three space-separated integers *t**i*, *x**i*, *y**i* (1<=≀<=*t**i*<=≀<=2;Β *x...
In the first line print string "LIVE" (without the quotes) if server *a* is "alive", otherwise print "DEAD" (without the quotes). In the second line print the state of server *b* in the similar format.
[ "2\n1 5 5\n2 6 4\n", "3\n1 0 10\n2 0 10\n1 10 0\n" ]
[ "LIVE\nLIVE\n", "LIVE\nDEAD\n" ]
Consider the first test case. There 10 packets were sent to server *a*, 5 of them reached it. Therefore, at least half of all packets sent to this server successfully reached it through the network. Overall there were 10 packets sent to server *b*, 6 of them reached it. Therefore, at least half of all packets sent to t...
[ { "input": "2\n1 5 5\n2 6 4", "output": "LIVE\nLIVE" }, { "input": "3\n1 0 10\n2 0 10\n1 10 0", "output": "LIVE\nDEAD" }, { "input": "10\n1 3 7\n2 4 6\n1 2 8\n2 5 5\n2 10 0\n2 10 0\n1 8 2\n2 2 8\n2 10 0\n1 1 9", "output": "DEAD\nLIVE" }, { "input": "11\n1 8 2\n1 6 4\n1 9 1\n1...
186
1,638,400
3
971
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...
0
0
-1
972
725
Food on the Plane
[ "implementation", "math" ]
null
null
A new airplane SuperPuperJet has an infinite number of rows, numbered with positive integers starting with 1 from cockpit to tail. There are six seats in each row, denoted with letters from 'a' to 'f'. Seats 'a', 'b' and 'c' are located to the left of an aisle (if one looks in the direction of the cockpit), while seats...
The only line of input contains a description of Vasya's seat in the format *ns*, where *n* (1<=≀<=*n*<=≀<=1018) is the index of the row and *s* is the seat in this row, denoted as letter from 'a' to 'f'. The index of the row and the seat are not separated by a space.
Print one integerΒ β€” the number of seconds Vasya has to wait until he gets his lunch.
[ "1f\n", "2d\n", "4a\n", "5e\n" ]
[ "1\n", "10\n", "11\n", "18\n" ]
In the first sample, the first flight attendant serves Vasya first, so Vasya gets his lunch after 1 second. In the second sample, the flight attendants will spend 6 seconds to serve everyone in the rows 1 and 3, then they will move one row forward in 1 second. As they first serve seats located to the right of the aisl...
[ { "input": "1f", "output": "1" }, { "input": "2d", "output": "10" }, { "input": "4a", "output": "11" }, { "input": "5e", "output": "18" }, { "input": "2c", "output": "13" }, { "input": "1b", "output": "5" }, { "input": "1000000000000000000d...
46
0
0
975
632
Grandma Laura and Apples
[]
null
null
Grandma Laura came to the market to sell some apples. During the day she sold all the apples she had. But grandma is old, so she forgot how many apples she had brought to the market. She precisely remembers she had *n* buyers and each of them bought exactly half of the apples she had at the moment of the purchase and ...
The first line contains two integers *n* and *p* (1<=≀<=*n*<=≀<=40,<=2<=≀<=*p*<=≀<=1000) β€” the number of the buyers and the cost of one apple. It is guaranteed that the number *p* is even. The next *n* lines contains the description of buyers. Each buyer is described with the string half if he simply bought half of th...
Print the only integer *a* β€” the total money grandma should have at the end of the day. Note that the answer can be too large, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you can use long integer type.
[ "2 10\nhalf\nhalfplus\n", "3 10\nhalfplus\nhalfplus\nhalfplus\n" ]
[ "15\n", "55\n" ]
In the first sample at the start of the day the grandma had two apples. First she sold one apple and then she sold a half of the second apple and gave a half of the second apple as a present to the second buyer.
[ { "input": "2 10\nhalf\nhalfplus", "output": "15" }, { "input": "3 10\nhalfplus\nhalfplus\nhalfplus", "output": "55" }, { "input": "10 328\nhalf\nhalfplus\nhalfplus\nhalf\nhalfplus\nhalf\nhalf\nhalf\nhalfplus\nhalfplus", "output": "258300" }, { "input": "1 2\nhalfplus", "...
77
0
0
978
39
Cubical Planet
[ "math" ]
D. Cubical Planet
2
64
You can find anything whatsoever in our Galaxy! A cubical planet goes round an icosahedral star. Let us introduce a system of axes so that the edges of the cubical planet are parallel to the coordinate axes and two opposite vertices lay in the points (0,<=0,<=0) and (1,<=1,<=1). Two flies live on the planet. At the mom...
The first line contains three space-separated integers (0 or 1) β€” the coordinates of the first fly, the second line analogously contains the coordinates of the second fly.
Output "YES" (without quotes) if the flies see each other. Otherwise, output "NO".
[ "0 0 0\n0 1 0\n", "1 1 0\n0 1 0\n", "0 0 0\n1 1 1\n" ]
[ "YES\n", "YES\n", "NO\n" ]
none
[ { "input": "0 0 0\n0 1 0", "output": "YES" }, { "input": "1 1 0\n0 1 0", "output": "YES" }, { "input": "0 0 0\n1 1 1", "output": "NO" }, { "input": "0 0 0\n1 0 0", "output": "YES" }, { "input": "0 0 0\n0 1 0", "output": "YES" }, { "input": "0 0 0\n1 1 ...
124
0
0
979
884
Japanese Crosswords Strike Back
[ "implementation" ]
null
null
A one-dimensional Japanese crossword can be represented as a binary string of length *x*. An encoding of this crossword is an array *a* of size *n*, where *n* is the number of segments formed completely of 1's, and *a**i* is the length of *i*-th segment. No two segments touch or intersect. For example: - If *x*<==<...
The first line contains two integer numbers *n* and *x* (1<=≀<=*n*<=≀<=100000, 1<=≀<=*x*<=≀<=109) β€” the number of elements in the encoding and the length of the crossword Mishka picked. The second line contains *n* integer numbers *a*1, *a*2, ..., *a**n* (1<=≀<=*a**i*<=≀<=10000) β€” the encoding.
Print YES if there exists exaclty one crossword with chosen length and encoding. Otherwise, print NO.
[ "2 4\n1 3\n", "3 10\n3 3 2\n", "2 10\n1 3\n" ]
[ "NO\n", "YES\n", "NO\n" ]
none
[ { "input": "2 4\n1 3", "output": "NO" }, { "input": "3 10\n3 3 2", "output": "YES" }, { "input": "2 10\n1 3", "output": "NO" }, { "input": "1 1\n1", "output": "YES" }, { "input": "1 10\n10", "output": "YES" }, { "input": "1 10000\n10000", "output":...
77
7,372,800
3
980
266
Stones on the Table
[ "implementation" ]
null
null
There are *n* stones on the table in a row, each of them can be red, green or blue. Count the minimum number of stones to take from the table so that any two neighboring stones had different colors. Stones in a row are considered neighboring if there are no other stones between them.
The first line contains integer *n* (1<=≀<=*n*<=≀<=50) β€” the number of stones on the table. The next line contains string *s*, which represents the colors of the stones. We'll consider the stones in the row numbered from 1 to *n* from left to right. Then the *i*-th character *s* equals "R", if the *i*-th stone is red...
Print a single integer β€” the answer to the problem.
[ "3\nRRG\n", "5\nRRRRR\n", "4\nBRBG\n" ]
[ "1\n", "4\n", "0\n" ]
none
[ { "input": "3\nRRG", "output": "1" }, { "input": "5\nRRRRR", "output": "4" }, { "input": "4\nBRBG", "output": "0" }, { "input": "1\nB", "output": "0" }, { "input": "2\nBG", "output": "0" }, { "input": "3\nBGB", "output": "0" }, { "input": "...
60
0
-1
981
315
Sereja and Array
[ "implementation" ]
null
null
Sereja has got an array, consisting of *n* integers, *a*1,<=*a*2,<=...,<=*a**n*. Sereja is an active boy, so he is now going to complete *m* operations. Each operation will have one of the three forms: 1. Make *v**i*-th array element equal to *x**i*. In other words, perform the assignment *a**v**i*<==<=*x**i*. 1. In...
The first line contains integers *n*, *m* (1<=≀<=*n*,<=*m*<=≀<=105). The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=109) β€” the original array. Next *m* lines describe operations, the *i*-th line describes the *i*-th operation. The first number in the *i*-th line is i...
For each third type operation print value *a**q**i*. Print the values in the order, in which the corresponding queries follow in the input.
[ "10 11\n1 2 3 4 5 6 7 8 9 10\n3 2\n3 9\n2 10\n3 1\n3 10\n1 1 10\n2 10\n2 10\n3 1\n3 10\n3 9\n" ]
[ "2\n9\n11\n20\n30\n40\n39\n" ]
none
[ { "input": "10 11\n1 2 3 4 5 6 7 8 9 10\n3 2\n3 9\n2 10\n3 1\n3 10\n1 1 10\n2 10\n2 10\n3 1\n3 10\n3 9", "output": "2\n9\n11\n20\n30\n40\n39" }, { "input": "1 3\n1\n1 1 2\n2 1\n3 1", "output": "3" }, { "input": "1 1\n1\n3 1", "output": "1" }, { "input": "6 6\n202714501 613423...
1,000
9,216,000
0
982
384
Coder
[ "implementation" ]
null
null
Iahub likes chess very much. He even invented a new chess piece named Coder. A Coder can move (and attack) one square horizontally or vertically. More precisely, if the Coder is located at position (*x*,<=*y*), he can move to (or attack) positions (*x*<=+<=1,<=*y*), (*x*–1,<=*y*), (*x*,<=*y*<=+<=1) and (*x*,<=*y*–1). ...
The first line contains an integer *n* (1<=≀<=*n*<=≀<=1000).
On the first line print an integer, the maximum number of Coders that can be placed on the chessboard. On each of the next *n* lines print *n* characters, describing the configuration of the Coders. For an empty cell print an '.', and for a Coder print a 'C'. If there are multiple correct answers, you can print any.
[ "2\n" ]
[ "2\nC.\n.C\n" ]
none
[ { "input": "2", "output": "2\nC.\n.C" }, { "input": "3", "output": "5\nC.C\n.C.\nC.C" }, { "input": "4", "output": "8\nC.C.\n.C.C\nC.C.\n.C.C" }, { "input": "10", "output": "50\nC.C.C.C.C.\n.C.C.C.C.C\nC.C.C.C.C.\n.C.C.C.C.C\nC.C.C.C.C.\n.C.C.C.C.C\nC.C.C.C.C.\n.C.C.C.C.C...
1,000
10,854,400
0
984
236
Boy or Girl
[ "brute force", "implementation", "strings" ]
null
null
Those days, many boys use beautiful girls' photos as avatars in forums. So it is pretty hard to tell the gender of a user at the first glance. Last year, our hero went to a forum and had a nice chat with a beauty (he thought so). After that they talked very often and eventually they became a couple in the network. Bu...
The first line contains a non-empty string, that contains only lowercase English letters β€” the user name. This string contains at most 100 letters.
If it is a female by our hero's method, print "CHAT WITH HER!" (without the quotes), otherwise, print "IGNORE HIM!" (without the quotes).
[ "wjmzbmr\n", "xiaodao\n", "sevenkplus\n" ]
[ "CHAT WITH HER!\n", "IGNORE HIM!\n", "CHAT WITH HER!\n" ]
For the first example. There are 6 distinct characters in "wjmzbmr". These characters are: "w", "j", "m", "z", "b", "r". So wjmzbmr is a female and you should print "CHAT WITH HER!".
[ { "input": "wjmzbmr", "output": "CHAT WITH HER!" }, { "input": "xiaodao", "output": "IGNORE HIM!" }, { "input": "sevenkplus", "output": "CHAT WITH HER!" }, { "input": "pezu", "output": "CHAT WITH HER!" }, { "input": "wnemlgppy", "output": "CHAT WITH HER!" },...
92
0
3
985
578
"Or" Game
[ "brute force", "greedy" ]
null
null
You are given *n* numbers *a*1,<=*a*2,<=...,<=*a**n*. You can perform at most *k* operations. For each operation you can multiply one of the numbers by *x*. We want to make as large as possible, where denotes the bitwise OR. Find the maximum possible value of after performing at most *k* operations optimally.
The first line contains three integers *n*, *k* and *x* (1<=≀<=*n*<=≀<=200<=000, 1<=≀<=*k*<=≀<=10, 2<=≀<=*x*<=≀<=8). The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≀<=*a**i*<=≀<=109).
Output the maximum value of a bitwise OR of sequence elements after performing operations.
[ "3 1 2\n1 1 1\n", "4 2 3\n1 2 4 8\n" ]
[ "3\n", "79\n" ]
For the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/1ee73b671ed4bc53f2f96ed1a85fd98388e1712b.png" style="max-width: 100.0%;max-height: 100.0%;"/>. For the second sample...
[ { "input": "3 1 2\n1 1 1", "output": "3" }, { "input": "4 2 3\n1 2 4 8", "output": "79" }, { "input": "2 1 2\n12 9", "output": "30" }, { "input": "2 1 2\n12 7", "output": "31" }, { "input": "3 1 3\n3 2 0", "output": "11" }, { "input": "5 10 8\n10000000...
93
0
0
987
334
Candy Bags
[ "implementation" ]
null
null
Gerald has *n* younger brothers and their number happens to be even. One day he bought *n*2 candy bags. One bag has one candy, one bag has two candies, one bag has three candies and so on. In fact, for each integer *k* from 1 to *n*2 he has exactly one bag with *k* candies. Help him give *n* bags of candies to each b...
The single line contains a single integer *n* (*n* is even, 2<=≀<=*n*<=≀<=100) β€” the number of Gerald's brothers.
Let's assume that Gerald indexes his brothers with numbers from 1 to *n*. You need to print *n* lines, on the *i*-th line print *n* integers β€” the numbers of candies in the bags for the *i*-th brother. Naturally, all these numbers should be distinct and be within limits from 1 to *n*2. You can print the numbers in the ...
[ "2\n" ]
[ "1 4\n2 3\n" ]
The sample shows Gerald's actions if he has two brothers. In this case, his bags contain 1, 2, 3 and 4 candies. He can give the bags with 1 and 4 candies to one brother and the bags with 2 and 3 to the other brother.
[ { "input": "2", "output": "1 4\n2 3" }, { "input": "4", "output": "1 16 2 15\n3 14 4 13\n5 12 6 11\n7 10 8 9" }, { "input": "6", "output": "1 36 2 35 3 34\n4 33 5 32 6 31\n7 30 8 29 9 28\n10 27 11 26 12 25\n13 24 14 23 15 22\n16 21 17 20 18 19" }, { "input": "8", "output"...
218
6,963,200
3
988
920
Water The Garden
[ "implementation" ]
null
null
It is winter now, and Max decided it's about time he watered the garden. The garden can be represented as *n* consecutive garden beds, numbered from 1 to *n*. *k* beds contain water taps (*i*-th tap is located in the bed *x**i*), which, if turned on, start delivering water to neighbouring beds. If the tap on the bed *...
The first line contains one integer *t* β€” the number of test cases to solve (1<=≀<=*t*<=≀<=200). Then *t* test cases follow. The first line of each test case contains two integers *n* and *k* (1<=≀<=*n*<=≀<=200, 1<=≀<=*k*<=≀<=*n*) β€” the number of garden beds and water taps, respectively. Next line contains *k* intege...
For each test case print one integer β€” the minimum number of seconds that have to pass after Max turns on some of the water taps, until the whole garden is watered.
[ "3\n5 1\n3\n3 3\n1 2 3\n4 1\n1\n" ]
[ "3\n1\n4\n" ]
The first example consists of 3 tests: 1. There are 5 garden beds, and a water tap in the bed 3. If we turn it on, then after 1 second passes, only bed 3 will be watered; after 2 seconds pass, beds [1, 3] will be watered, and after 3 seconds pass, everything will be watered. 1. There are 3 garden beds, and there is ...
[ { "input": "3\n5 1\n3\n3 3\n1 2 3\n4 1\n1", "output": "3\n1\n4" }, { "input": "26\n1 1\n1\n2 1\n2\n2 1\n1\n2 2\n1 2\n3 1\n3\n3 1\n2\n3 2\n2 3\n3 1\n1\n3 2\n1 3\n3 2\n1 2\n3 3\n1 2 3\n4 1\n4\n4 1\n3\n4 2\n3 4\n4 1\n2\n4 2\n2 4\n4 2\n2 3\n4 3\n2 3 4\n4 1\n1\n4 2\n1 4\n4 2\n1 3\n4 3\n1 3 4\n4 2\n1 2\n4...
62
19,968,000
0
990
488
Giga Tower
[ "brute force" ]
null
null
Giga Tower is the tallest and deepest building in Cyberland. There are 17<=777<=777<=777 floors, numbered from <=-<=8<=888<=888<=888 to 8<=888<=888<=888. In particular, there is floor 0 between floor <=-<=1 and floor 1. Every day, thousands of tourists come to this place to enjoy the wonderful view. In Cyberland, it ...
The only line of input contains an integer *a* (<=-<=109<=≀<=*a*<=≀<=109).
Print the minimum *b* in a line.
[ "179\n", "-1\n", "18\n" ]
[ "1\n", "9\n", "10\n" ]
For the first sample, he has to arrive at the floor numbered 180. For the second sample, he will arrive at 8. Note that *b* should be positive, so the answer for the third sample is 10, not 0.
[ { "input": "179", "output": "1" }, { "input": "-1", "output": "9" }, { "input": "18", "output": "10" }, { "input": "-410058385", "output": "1" }, { "input": "-586825624", "output": "1" }, { "input": "852318890", "output": "1" }, { "input": ...
46
0
0
991
680
Bear and Finding Criminals
[ "constructive algorithms", "implementation" ]
null
null
There are *n* cities in Bearland, numbered 1 through *n*. Cities are arranged in one long row. The distance between cities *i* and *j* is equal to |*i*<=-<=*j*|. Limak is a police officer. He lives in a city *a*. His job is to catch criminals. It's hard because he doesn't know in which cities criminals are. Though, he...
The first line of the input contains two integers *n* and *a* (1<=≀<=*a*<=≀<=*n*<=≀<=100)Β β€” the number of cities and the index of city where Limak lives. The second line contains *n* integers *t*1,<=*t*2,<=...,<=*t**n* (0<=≀<=*t**i*<=≀<=1). There are *t**i* criminals in the *i*-th city.
Print the number of criminals Limak will catch.
[ "6 3\n1 1 1 0 1 0\n", "5 2\n0 0 0 1 0\n" ]
[ "3\n", "1\n" ]
In the first sample, there are six cities and Limak lives in the third one (blue arrow below). Criminals are in cities marked red. Using the BCD gives Limak the following information: - There is one criminal at distance 0 from the third cityΒ β€” Limak is sure that this criminal is exactly in the third city. - There i...
[ { "input": "6 3\n1 1 1 0 1 0", "output": "3" }, { "input": "5 2\n0 0 0 1 0", "output": "1" }, { "input": "1 1\n1", "output": "1" }, { "input": "1 1\n0", "output": "0" }, { "input": "9 3\n1 1 1 1 1 1 1 1 0", "output": "8" }, { "input": "9 5\n1 0 1 0 1 0...
46
0
0
995
449
Jzzhu and Cities
[ "graphs", "greedy", "shortest paths" ]
null
null
Jzzhu is the president of country A. There are *n* cities numbered from 1 to *n* in his country. City 1 is the capital of A. Also there are *m* roads connecting the cities. One can go from city *u**i* to *v**i* (and vise versa) using the *i*-th road, the length of this road is *x**i*. Finally, there are *k* train route...
The first line contains three integers *n*,<=*m*,<=*k* (2<=≀<=*n*<=≀<=105;Β 1<=≀<=*m*<=≀<=3Β·105;Β 1<=≀<=*k*<=≀<=105). Each of the next *m* lines contains three integers *u**i*,<=*v**i*,<=*x**i* (1<=≀<=*u**i*,<=*v**i*<=≀<=*n*;Β *u**i*<=β‰ <=*v**i*;Β 1<=≀<=*x**i*<=≀<=109). Each of the next *k* lines contains two integers *s*...
Output a single integer representing the maximum number of the train routes which can be closed.
[ "5 5 3\n1 2 1\n2 3 2\n1 3 3\n3 4 4\n1 5 5\n3 5\n4 5\n5 5\n", "2 2 3\n1 2 2\n2 1 3\n2 1\n2 2\n2 3\n" ]
[ "2\n", "2\n" ]
none
[ { "input": "5 5 3\n1 2 1\n2 3 2\n1 3 3\n3 4 4\n1 5 5\n3 5\n4 5\n5 5", "output": "2" }, { "input": "2 2 3\n1 2 2\n2 1 3\n2 1\n2 2\n2 3", "output": "2" }, { "input": "5 4 3\n1 2 999999999\n2 3 1000000000\n3 4 529529529\n5 1 524524524\n5 524444444\n5 529999999\n2 1000000000", "output": ...
77
2,764,800
-1
1,001
928
Login Verification
[ "*special", "strings" ]
null
null
When registering in a social network, users are allowed to create their own convenient login to make it easier to share contacts, print it on business cards, etc. Login is an arbitrary sequence of lower and uppercase latin letters, digits and underline symbols (Β«_Β»). However, in order to decrease the number of frauds ...
The first line contains a non-empty string *s* consisting of lower and uppercase latin letters, digits and underline symbols (Β«_Β») with length not exceeding 50 Β β€” the login itself. The second line contains a single integer *n* (1<=≀<=*n*<=≀<=1<=000)Β β€” the number of existing logins. The next *n* lines describe the exi...
Print Β«YesΒ» (without quotes), if user can register via this login, i.e. none of the existing logins is similar with it. Otherwise print Β«NoΒ» (without quotes).
[ "1_wat\n2\n2_wat\nwat_1\n", "000\n3\n00\nooA\noOo\n", "_i_\n3\n__i_\n_1_\nI\n", "La0\n3\n2a0\nLa1\n1a0\n", "abc\n1\naBc\n", "0Lil\n2\nLIL0\n0Ril\n" ]
[ "Yes\n", "No\n", "No\n", "No\n", "No\n", "Yes\n" ]
In the second sample case the user wants to create a login consisting of three zeros. It's impossible due to collision with the third among the existing. In the third sample case the new login is similar with the second one.
[ { "input": "1_wat\n2\n2_wat\nwat_1", "output": "Yes" }, { "input": "000\n3\n00\nooA\noOo", "output": "No" }, { "input": "_i_\n3\n__i_\n_1_\nI", "output": "No" }, { "input": "La0\n3\n2a0\nLa1\n1a0", "output": "No" }, { "input": "abc\n1\naBc", "output": "No" }...
93
5,632,000
3
1,003
34
Page Numbers
[ "expression parsing", "implementation", "sortings", "strings" ]
C. Page Numbers
2
256
Β«BersoftΒ» company is working on a new version of its most popular text editor β€” Bord 2010. Bord, like many other text editors, should be able to print out multipage documents. A user keys a sequence of the document page numbers that he wants to print out (separates them with a comma, without spaces). Your task is to w...
The only line contains the sequence, keyed by the user. The sequence contains at least one and at most 100 positive integer numbers. It's guaranteed, that this sequence consists of positive integer numbers, not exceeding 1000, separated with a comma, doesn't contain any other characters, apart from digits and commas, c...
Output the sequence in the required format.
[ "1,2,3,1,1,2,6,6,2\n", "3,2,1\n", "30,20,10\n" ]
[ "1-3,6\n", "1-3\n", "10,20,30\n" ]
none
[ { "input": "1,2,3,1,1,2,6,6,2", "output": "1-3,6" }, { "input": "3,2,1", "output": "1-3" }, { "input": "30,20,10", "output": "10,20,30" }, { "input": "826,747,849,687,437", "output": "437,687,747,826,849" }, { "input": "999,999,993,969,999", "output": "969,993...
92
0
3.977
1,004
766
Mahmoud and Longest Uncommon Subsequence
[ "constructive algorithms", "strings" ]
null
null
While Mahmoud and Ehab were practicing for IOI, they found a problem which name was Longest common subsequence. They solved it, and then Ehab challenged Mahmoud with another problem. Given two strings *a* and *b*, find the length of their longest uncommon subsequence, which is the longest string that is a subsequence ...
The first line contains string *a*, and the second lineΒ β€” string *b*. Both of these strings are non-empty and consist of lowercase letters of English alphabet. The length of each string is not bigger than 105 characters.
If there's no uncommon subsequence, print "-1". Otherwise print the length of the longest uncommon subsequence of *a* and *b*.
[ "abcd\ndefgh\n", "a\na\n" ]
[ "5\n", "-1\n" ]
In the first example: you can choose "defgh" from string *b* as it is the longest subsequence of string *b* that doesn't appear as a subsequence of string *a*.
[ { "input": "abcd\ndefgh", "output": "5" }, { "input": "a\na", "output": "-1" }, { "input": "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaacccccccccccccccccccccccccccccccccccccccccccccccccc\naaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadddddddddddddddddddddddddddddddddddddddddddd...
46
4,608,000
3
1,007
978
File Name
[ "greedy", "strings" ]
null
null
You can not just take the file and send it. When Polycarp trying to send a file in the social network "Codehorses", he encountered an unexpected problem. If the name of the file contains three or more "x" (lowercase Latin letters "x") in a row, the system considers that the file content does not correspond to the socia...
The first line contains integer $n$ $(3 \le n \le 100)$ β€” the length of the file name. The second line contains a string of length $n$ consisting of lowercase Latin letters only β€” the file name.
Print the minimum number of characters to remove from the file name so after that the name does not contain "xxx" as a substring. If initially the file name dost not contain a forbidden substring "xxx", print 0.
[ "6\nxxxiii\n", "5\nxxoxx\n", "10\nxxxxxxxxxx\n" ]
[ "1\n", "0\n", "8\n" ]
In the first example Polycarp tried to send a file with name contains number $33$, written in Roman numerals. But he can not just send the file, because it name contains three letters "x" in a row. To send the file he needs to remove any one of this letters.
[ { "input": "6\nxxxiii", "output": "1" }, { "input": "5\nxxoxx", "output": "0" }, { "input": "10\nxxxxxxxxxx", "output": "8" }, { "input": "100\nxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx", "output": "98" }, { ...
46
0
0
1,009
610
Pasha and Stick
[ "combinatorics", "math" ]
null
null
Pasha has a wooden stick of some positive integer length *n*. He wants to perform exactly three cuts to get four parts of the stick. Each part must have some positive integer length and the sum of these lengths will obviously be *n*. Pasha likes rectangles but hates squares, so he wonders, how many ways are there to ...
The first line of the input contains a positive integer *n* (1<=≀<=*n*<=≀<=2Β·109) β€” the length of Pasha's stick.
The output should contain a single integerΒ β€” the number of ways to split Pasha's stick into four parts of positive integer length so that it's possible to make a rectangle by connecting the ends of these parts, but is impossible to form a square.
[ "6\n", "20\n" ]
[ "1\n", "4\n" ]
There is only one way to divide the stick in the first sample {1, 1, 2, 2}. Four ways to divide the stick in the second sample are {1, 1, 9, 9}, {2, 2, 8, 8}, {3, 3, 7, 7} and {4, 4, 6, 6}. Note that {5, 5, 5, 5} doesn't work.
[ { "input": "6", "output": "1" }, { "input": "20", "output": "4" }, { "input": "1", "output": "0" }, { "input": "2", "output": "0" }, { "input": "3", "output": "0" }, { "input": "4", "output": "0" }, { "input": "2000000000", "output": "4...
93
0
0
1,011
2
The least round way
[ "dp", "math" ]
B. The least round way
2
64
There is a square matrix *n*<=Γ—<=*n*, consisting of non-negative integer numbers. You should find such a way on it that - starts in the upper left cell of the matrix; - each following cell is to the right or down from the current cell; - the way ends in the bottom right cell. Moreover, if we multiply together all...
The first line contains an integer number *n* (2<=≀<=*n*<=≀<=1000), *n* is the size of the matrix. Then follow *n* lines containing the matrix elements (non-negative integer numbers not exceeding 109).
In the first line print the least number of trailing zeros. In the second line print the correspondent way itself.
[ "3\n1 2 3\n4 5 6\n7 8 9\n" ]
[ "0\nDDRR\n" ]
none
[ { "input": "3\n1 2 3\n4 5 6\n7 8 9", "output": "0\nDDRR" }, { "input": "2\n7 6\n3 8", "output": "0\nDR" }, { "input": "3\n4 10 5\n10 9 4\n6 5 3", "output": "1\nDRRD" }, { "input": "4\n1 1 9 9\n3 4 7 3\n7 9 1 7\n1 7 1 5", "output": "0\nDDDRRR" }, { "input": "5\n8 3...
155
3,891,200
0
1,012
611
New Year and Domino
[ "dp", "implementation" ]
null
null
They say "years are like dominoes, tumbling one after the other". But would a year fit into a grid? I don't think so. Limak is a little polar bear who loves to play. He has recently got a rectangular grid with *h* rows and *w* columns. Each cell is a square, either empty (denoted by '.') or forbidden (denoted by '#')....
The first line of the input contains two integers *h* and *w* (1<=≀<=*h*,<=*w*<=≀<=500) – the number of rows and the number of columns, respectively. The next *h* lines describe a grid. Each line contains a string of the length *w*. Each character is either '.' or '#'Β β€” denoting an empty or forbidden cell, respectivel...
Print *q* integers, *i*-th should be equal to the number of ways to put a single domino inside the *i*-th rectangle.
[ "5 8\n....#..#\n.#......\n##.#....\n##..#.##\n........\n4\n1 1 2 3\n4 1 4 1\n1 2 4 5\n2 5 5 8\n", "7 39\n.......................................\n.###..###..#..###.....###..###..#..###.\n...#..#.#..#..#.........#..#.#..#..#...\n.###..#.#..#..###.....###..#.#..#..###.\n.#....#.#..#....#.....#....#.#..#..#.#.\n.###...
[ "4\n0\n10\n15\n", "53\n89\n120\n23\n0\n2\n" ]
A red frame below corresponds to the first query of the first sample. A domino can be placed in 4 possible ways.
[ { "input": "5 8\n....#..#\n.#......\n##.#....\n##..#.##\n........\n4\n1 1 2 3\n4 1 4 1\n1 2 4 5\n2 5 5 8", "output": "4\n0\n10\n15" }, { "input": "7 39\n.......................................\n.###..###..#..###.....###..###..#..###.\n...#..#.#..#..#.........#..#.#..#..#...\n.###..#.#..#..###.....##...
2,371
13,516,800
3
1,013
400
Inna and New Matrix of Candies
[ "brute force", "implementation", "schedules" ]
null
null
Inna likes sweets and a game called the "Candy Matrix". Today, she came up with the new game "Candy Matrix 2: Reload". The field for the new game is a rectangle table of size *n*<=Γ—<=*m*. Each line of the table contains one cell with a dwarf figurine, one cell with a candy, the other cells of the line are empty. The g...
The first line of the input contains two integers *n* and *m* (1<=≀<=*n*<=≀<=1000;Β 2<=≀<=*m*<=≀<=1000). Next *n* lines each contain *m* characters β€” the game field for the "Candy Martix 2: Reload". Character "*" represents an empty cell of the field, character "G" represents a dwarf and character "S" represents a can...
In a single line print a single integer β€” either the minimum number of moves needed to achieve the aim of the game, or -1, if the aim cannot be achieved on the given game field.
[ "3 4\n*G*S\nG**S\n*G*S\n", "1 3\nS*G\n" ]
[ "2\n", "-1\n" ]
none
[ { "input": "3 4\n*G*S\nG**S\n*G*S", "output": "2" }, { "input": "1 3\nS*G", "output": "-1" }, { "input": "10 10\nG********S\n*G*******S\n**G******S\n***G*****S\n****G****S\n*****G***S\n******G**S\n*******G*S\n********GS\nG********S", "output": "9" }, { "input": "5 10\nG***S**...
62
0
0
1,016
656
You're a Professional
[ "*special" ]
null
null
A simple recommendation system would recommend a user things liked by a certain number of their friends. In this problem you will implement part of such a system. You are given user's friends' opinions about a list of items. You are also given a threshold *T* β€” the minimal number of "likes" necessary for an item to be...
The first line of the input will contain three space-separated integers: the number of friends *F* (1<=≀<=*F*<=≀<=10), the number of items *I* (1<=≀<=*I*<=≀<=10) and the threshold *T* (1<=≀<=*T*<=≀<=*F*). The following *F* lines of input contain user's friends' opinions. *j*-th character of *i*-th line is 'Y' if *i*-t...
Output an integer β€” the number of items liked by at least *T* of user's friends.
[ "3 3 2\nYYY\nNNN\nYNY\n", "4 4 1\nNNNY\nNNYN\nNYNN\nYNNN\n" ]
[ "2\n", "4\n" ]
none
[ { "input": "3 3 2\nYYY\nNNN\nYNY", "output": "2" }, { "input": "4 4 1\nNNNY\nNNYN\nNYNN\nYNNN", "output": "4" }, { "input": "3 5 2\nNYNNY\nYNNNN\nNNYYN", "output": "0" }, { "input": "1 10 1\nYYYNYNNYNN", "output": "5" }, { "input": "10 1 5\nY\nN\nN\nN\nY\nN\nN\nY\...
46
5,529,600
0
1,017
591
Wizards' Duel
[ "implementation", "math" ]
null
null
Harry Potter and He-Who-Must-Not-Be-Named engaged in a fight to the death once again. This time they are located at opposite ends of the corridor of length *l*. Two opponents simultaneously charge a deadly spell in the enemy. We know that the impulse of Harry's magic spell flies at a speed of *p* meters per second, and...
The first line of the input contains a single integer *l* (1<=≀<=*l*<=≀<=1<=000)Β β€” the length of the corridor where the fight takes place. The second line contains integer *p*, the third line contains integer *q* (1<=≀<=*p*,<=*q*<=≀<=500)Β β€” the speeds of magical impulses for Harry Potter and He-Who-Must-Not-Be-Named, ...
Print a single real numberΒ β€” the distance from the end of the corridor, where Harry is located, to the place of the second meeting of the spell impulses. Your answer will be considered correct if its absolute or relative error will not exceed 10<=-<=4. Namely: let's assume that your answer equals *a*, and the answer ...
[ "100\n50\n50\n", "199\n60\n40\n" ]
[ "50\n", "119.4\n" ]
In the first sample the speeds of the impulses are equal, so both of their meetings occur exactly in the middle of the corridor.
[ { "input": "100\n50\n50", "output": "50" }, { "input": "199\n60\n40", "output": "119.4" }, { "input": "1\n1\n1", "output": "0.5" }, { "input": "1\n1\n500", "output": "0.001996007984" }, { "input": "1\n500\n1", "output": "0.998003992" }, { "input": "1\n...
77
0
3
1,018
29
Spit Problem
[ "brute force" ]
A. Spit Problem
2
256
In a Berland's zoo there is an enclosure with camels. It is known that camels like to spit. Bob watched these interesting animals for the whole day and registered in his notepad where each animal spitted. Now he wants to know if in the zoo there are two camels, which spitted at each other. Help him to solve this task. ...
The first line contains integer *n* (1<=≀<=*n*<=≀<=100) β€” the amount of camels in the zoo. Each of the following *n* lines contains two integers *x**i* and *d**i* (<=-<=104<=≀<=*x**i*<=≀<=104,<=1<=≀<=|*d**i*|<=≀<=2Β·104) β€” records in Bob's notepad. *x**i* is a position of the *i*-th camel, and *d**i* is a distance at wh...
If there are two camels, which spitted at each other, output YES. Otherwise, output NO.
[ "2\n0 1\n1 -1\n", "3\n0 1\n1 1\n2 -2\n", "5\n2 -10\n3 10\n0 5\n5 -5\n10 1\n" ]
[ "YES\n", "NO\n", "YES\n" ]
none
[ { "input": "2\n0 1\n1 -1", "output": "YES" }, { "input": "3\n0 1\n1 1\n2 -2", "output": "NO" }, { "input": "5\n2 -10\n3 10\n0 5\n5 -5\n10 1", "output": "YES" }, { "input": "10\n-9897 -1144\n-4230 -6350\n2116 -3551\n-3635 4993\n3907 -9071\n-2362 4120\n-6542 984\n5807 3745\n759...
124
5,632,000
3.95851
1,020
891
Pride
[ "brute force", "dp", "greedy", "math", "number theory" ]
null
null
You have an array *a* with length *n*, you can perform operations. Each operation is like this: choose two adjacent elements from *a*, say *x* and *y*, and replace one of them with *gcd*(*x*,<=*y*), where *gcd* denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor). What is the mi...
The first line of the input contains one integer *n* (1<=≀<=*n*<=≀<=2000) β€” the number of elements in the array. The second line contains *n* space separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=109)Β β€” the elements of the array.
Print -1, if it is impossible to turn all numbers to 1. Otherwise, print the minimum number of operations needed to make all numbers equal to 1.
[ "5\n2 2 3 4 6\n", "4\n2 4 6 8\n", "3\n2 6 9\n" ]
[ "5\n", "-1\n", "4\n" ]
In the first sample you can turn all numbers to 1 using the following 5 moves: - [2, 2, 3, 4, 6]. - [2, 1, 3, 4, 6] - [2, 1, 3, 1, 6] - [2, 1, 1, 1, 6] - [1, 1, 1, 1, 6] - [1, 1, 1, 1, 1] We can prove that in this case it is not possible to make all numbers one using less than 5 moves.
[ { "input": "5\n2 2 3 4 6", "output": "5" }, { "input": "4\n2 4 6 8", "output": "-1" }, { "input": "3\n2 6 9", "output": "4" }, { "input": "15\n10 10 10 10 10 10 21 21 21 21 21 21 21 21 21", "output": "15" }, { "input": "12\n10 10 14 14 14 14 14 14 14 14 21 21", ...
202
2,560,000
0
1,021
868
Qualification Rounds
[ "bitmasks", "brute force", "constructive algorithms", "dp" ]
null
null
Snark and Philip are preparing the problemset for the upcoming pre-qualification round for semi-quarter-finals. They have a bank of *n* problems, and they want to select any non-empty subset of it as a problemset. *k* experienced teams are participating in the contest. Some of these teams already know some of the prob...
The first line contains two integers *n*, *k* (1<=≀<=*n*<=≀<=105, 1<=≀<=*k*<=≀<=4)Β β€” the number of problems and the number of experienced teams. Each of the next *n* lines contains *k* integers, each equal to 0 or 1. The *j*-th number in the *i*-th line is 1 if *j*-th team knows *i*-th problem and 0 otherwise.
Print "YES" (quotes for clarity), if it is possible to make an interesting problemset, and "NO" otherwise. You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES").
[ "5 3\n1 0 1\n1 1 0\n1 0 0\n1 0 0\n1 0 0\n", "3 2\n1 0\n1 1\n0 1\n" ]
[ "NO\n", "YES\n" ]
In the first example you can't make any interesting problemset, because the first team knows all problems. In the second example you can choose the first and the third problems.
[ { "input": "5 3\n1 0 1\n1 1 0\n1 0 0\n1 0 0\n1 0 0", "output": "NO" }, { "input": "3 2\n1 0\n1 1\n0 1", "output": "YES" }, { "input": "10 2\n1 0\n1 0\n0 0\n1 1\n0 0\n1 1\n0 0\n1 1\n0 1\n0 1", "output": "YES" }, { "input": "10 3\n1 0 0\n0 1 1\n1 0 0\n0 1 0\n0 0 1\n1 0 1\n0 1 1...
888
11,468,800
3
1,022
853
Jury Meeting
[ "greedy", "sortings", "two pointers" ]
null
null
Country of Metropolia is holding Olympiad of Metrpolises soon. It mean that all jury members of the olympiad should meet together in Metropolis (the capital of the country) for the problem preparation process. There are *n*<=+<=1 cities consecutively numbered from 0 to *n*. City 0 is Metropolis that is the meeting poi...
The first line of input contains three integers *n*, *m* and *k* (1<=≀<=*n*<=≀<=105, 0<=≀<=*m*<=≀<=105, 1<=≀<=*k*<=≀<=106). The *i*-th of the following *m* lines contains the description of the *i*-th flight defined by four integers *d**i*, *f**i*, *t**i* and *c**i* (1<=≀<=*d**i*<=≀<=106, 0<=≀<=*f**i*<=≀<=*n*, 0<=≀<=...
Output the only integer that is the minimum cost of gathering all jury members in city 0 for *k* days and then sending them back to their home cities. If it is impossible to gather everybody in Metropolis for *k* days and then send them back to their home cities, output "-1" (without the quotes).
[ "2 6 5\n1 1 0 5000\n3 2 0 5500\n2 2 0 6000\n15 0 2 9000\n9 0 1 7000\n8 0 2 6500\n", "2 4 5\n1 2 0 5000\n2 1 0 4500\n2 1 0 3000\n8 0 1 6000\n" ]
[ "24500\n", "-1\n" ]
The optimal way to gather everybody in Metropolis in the first sample test is to use flights that take place on days 1, 2, 8 and 9. The only alternative option is to send jury member from second city back home on day 15, that would cost 2500 more. In the second sample it is impossible to send jury member from city 2 b...
[ { "input": "2 6 5\n1 1 0 5000\n3 2 0 5500\n2 2 0 6000\n15 0 2 9000\n9 0 1 7000\n8 0 2 6500", "output": "24500" }, { "input": "2 4 5\n1 2 0 5000\n2 1 0 4500\n2 1 0 3000\n8 0 1 6000", "output": "-1" }, { "input": "2 5 5\n1 1 0 1\n2 2 0 100\n3 2 0 10\n9 0 1 1000\n10 0 2 10000", "output"...
389
19,251,200
3
1,024
762
k-th divisor
[ "math", "number theory" ]
null
null
You are given two integers *n* and *k*. Find *k*-th smallest divisor of *n*, or report that it doesn't exist. Divisor of *n* is any such natural number, that *n* can be divided by it without remainder.
The first line contains two integers *n* and *k* (1<=≀<=*n*<=≀<=1015, 1<=≀<=*k*<=≀<=109).
If *n* has less than *k* divisors, output -1. Otherwise, output the *k*-th smallest divisor of *n*.
[ "4 2\n", "5 3\n", "12 5\n" ]
[ "2\n", "-1\n", "6\n" ]
In the first example, number 4 has three divisors: 1, 2 and 4. The second one is 2. In the second example, number 5 has only two divisors: 1 and 5. The third divisor doesn't exist, so the answer is -1.
[ { "input": "4 2", "output": "2" }, { "input": "5 3", "output": "-1" }, { "input": "12 5", "output": "6" }, { "input": "1 1", "output": "1" }, { "input": "866421317361600 26880", "output": "866421317361600" }, { "input": "866421317361600 26881", "ou...
748
23,552,000
3
1,027
597
Restaurant
[ "dp", "greedy", "sortings" ]
null
null
A restaurant received *n* orders for the rental. Each rental order reserve the restaurant for a continuous period of time, the *i*-th order is characterized by two time values β€” the start time *l**i* and the finish time *r**i* (*l**i*<=≀<=*r**i*). Restaurant management can accept and reject orders. What is the maximal...
The first line contains integer number *n* (1<=≀<=*n*<=≀<=5Β·105) β€” number of orders. The following *n* lines contain integer values *l**i* and *r**i* each (1<=≀<=*l**i*<=≀<=*r**i*<=≀<=109).
Print the maximal number of orders that can be accepted.
[ "2\n7 11\n4 7\n", "5\n1 2\n2 3\n3 4\n4 5\n5 6\n", "6\n4 8\n1 5\n4 7\n2 5\n1 3\n6 8\n" ]
[ "1\n", "3\n", "2\n" ]
none
[ { "input": "2\n7 11\n4 7", "output": "1" }, { "input": "5\n1 2\n2 3\n3 4\n4 5\n5 6", "output": "3" }, { "input": "6\n4 8\n1 5\n4 7\n2 5\n1 3\n6 8", "output": "2" }, { "input": "1\n1 1", "output": "1" }, { "input": "2\n4 6\n4 8", "output": "1" }, { "inp...
31
102,400
0
1,028
220
Little Elephant and Problem
[ "implementation", "sortings" ]
null
null
The Little Elephant has got a problem β€” somebody has been touching his sorted by non-decreasing array *a* of length *n* and possibly swapped some elements of the array. The Little Elephant doesn't want to call the police until he understands if he could have accidentally changed the array himself. He thinks that he co...
The first line contains a single integer *n* (2<=≀<=*n*<=≀<=105) β€” the size of array *a*. The next line contains *n* positive integers, separated by single spaces and not exceeding 109, β€” array *a*. Note that the elements of the array are not necessarily distinct numbers.
In a single line print "YES" (without the quotes) if the Little Elephant could have accidentally changed the array himself, and "NO" (without the quotes) otherwise.
[ "2\n1 2\n", "3\n3 2 1\n", "4\n4 3 2 1\n" ]
[ "YES\n", "YES\n", "NO\n" ]
In the first sample the array has already been sorted, so to sort it, we need 0 swap operations, that is not more than 1. Thus, the answer is "YES". In the second sample we can sort the array if we swap elements 1 and 3, so we need 1 swap operation to sort the array. Thus, the answer is "YES". In the third sample we ...
[ { "input": "2\n1 2", "output": "YES" }, { "input": "3\n3 2 1", "output": "YES" }, { "input": "4\n4 3 2 1", "output": "NO" }, { "input": "3\n1 3 2", "output": "YES" }, { "input": "2\n2 1", "output": "YES" }, { "input": "9\n7 7 8 8 10 10 10 10 1000000000...
264
9,113,600
3
1,029
198
About Bacteria
[ "implementation", "math" ]
null
null
Qwerty the Ranger took up a government job and arrived on planet Mars. He should stay in the secret lab and conduct some experiments on bacteria that have funny and abnormal properties. The job isn't difficult, but the salary is high. At the beginning of the first experiment there is a single bacterium in the test tub...
The first line contains four space-separated integers *k*, *b*, *n* and *t* (1<=≀<=*k*,<=*b*,<=*n*,<=*t*<=≀<=106) β€” the parameters of bacterial growth, the time Qwerty needed to grow *z* bacteria in the first experiment and the initial number of bacteria in the second experiment, correspondingly.
Print a single number β€” the minimum number of seconds Qwerty needs to grow at least *z* bacteria in the tube.
[ "3 1 3 5\n", "1 4 4 7\n", "2 2 4 100\n" ]
[ "2", "3", "0" ]
none
[ { "input": "3 1 3 5", "output": "2" }, { "input": "1 4 4 7", "output": "3" }, { "input": "2 2 4 100", "output": "0" }, { "input": "1 2 3 100", "output": "0" }, { "input": "10 10 10 123456", "output": "6" }, { "input": "847 374 283 485756", "output"...
218
20,172,800
0
1,031
486
Calculating Function
[ "implementation", "math" ]
null
null
For a positive integer *n* let's define a function *f*: *f*(*n*)<==<=<=-<=1<=+<=2<=-<=3<=+<=..<=+<=(<=-<=1)*n**n* Your task is to calculate *f*(*n*) for a given integer *n*.
The single line contains the positive integer *n* (1<=≀<=*n*<=≀<=1015).
Print *f*(*n*) in a single line.
[ "4\n", "5\n" ]
[ "2\n", "-3\n" ]
*f*(4) =  - 1 + 2 - 3 + 4 = 2 *f*(5) =  - 1 + 2 - 3 + 4 - 5 =  - 3
[ { "input": "4", "output": "2" }, { "input": "5", "output": "-3" }, { "input": "1000000000", "output": "500000000" }, { "input": "1000000001", "output": "-500000001" }, { "input": "1000000000000000", "output": "500000000000000" }, { "input": "100", ...
46
0
3
1,032
950
Intercepted Message
[ "greedy", "implementation" ]
null
null
Hacker Zhorik wants to decipher two secret messages he intercepted yesterday. Yeah message is a sequence of encrypted blocks, each of them consists of several bytes of information. Zhorik knows that each of the messages is an archive containing one or more files. Zhorik knows how each of these archives was transferred...
The first line contains two integers *n*, *m* (1<=≀<=*n*,<=*m*<=≀<=105) β€” the number of blocks in the first and in the second messages. The second line contains *n* integers *x*1,<=*x*2,<=...,<=*x**n* (1<=≀<=*x**i*<=≀<=106) β€” the length of the blocks that form the first message. The third line contains *m* integers *...
Print the maximum number of files the intercepted array could consist of.
[ "7 6\n2 5 3 1 11 4 4\n7 8 2 4 1 8\n", "3 3\n1 10 100\n1 100 10\n", "1 4\n4\n1 1 1 1\n" ]
[ "3\n", "2\n", "1\n" ]
In the first example the maximum number of files in the archive is 3. For example, it is possible that in the archive are three files of sizes 2 + 5 = 7, 15 = 3 + 1 + 11 = 8 + 2 + 4 + 1 and 4 + 4 = 8. In the second example it is possible that the archive contains two files of sizes 1 and 110 = 10 + 100 = 100 + 10. Not...
[ { "input": "7 6\n2 5 3 1 11 4 4\n7 8 2 4 1 8", "output": "3" }, { "input": "3 3\n1 10 100\n1 100 10", "output": "2" }, { "input": "1 4\n4\n1 1 1 1", "output": "1" }, { "input": "1 1\n1000000\n1000000", "output": "1" }, { "input": "3 5\n2 2 9\n2 1 4 2 4", "outp...
1,000
2,560,000
0
1,034
807
Is it rated?
[ "implementation", "sortings" ]
null
null
Is it rated? Here it is. The Ultimate Question of Competitive Programming, Codeforces, and Everything. And you are here to answer it. Another Codeforces round has been conducted. No two participants have the same number of points. For each participant, from the top to the bottom of the standings, their rating before ...
The first line contains a single integer *n* (2<=≀<=*n*<=≀<=1000)Β β€” the number of round participants. Each of the next *n* lines contains two integers *a**i* and *b**i* (1<=≀<=*a**i*,<=*b**i*<=≀<=4126)Β β€” the rating of the *i*-th participant before and after the round, respectively. The participants are listed in order...
If the round is rated for sure, print "rated". If the round is unrated for sure, print "unrated". If it's impossible to determine whether the round is rated or not, print "maybe".
[ "6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884\n", "4\n1500 1500\n1300 1300\n1200 1200\n1400 1400\n", "5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699\n" ]
[ "rated\n", "unrated\n", "maybe\n" ]
In the first example, the ratings of the participants in the third and fifth places have changed, therefore, the round was rated. In the second example, no one's rating has changed, but the participant in the second place has lower rating than the participant in the fourth place. Therefore, if the round was rated, som...
[ { "input": "6\n3060 3060\n2194 2194\n2876 2903\n2624 2624\n3007 2991\n2884 2884", "output": "rated" }, { "input": "4\n1500 1500\n1300 1300\n1200 1200\n1400 1400", "output": "unrated" }, { "input": "5\n3123 3123\n2777 2777\n2246 2246\n2246 2246\n1699 1699", "output": "maybe" }, { ...
62
0
0
1,035
479
Exams
[ "greedy", "sortings" ]
null
null
Student Valera is an undergraduate student at the University. His end of term exams are approaching and he is to pass exactly *n* exams. Valera is a smart guy, so he will be able to pass any exam he takes on his first try. Besides, he can take several exams on one day, and in any order. According to the schedule, a st...
The first line contains a single positive integer *n* (1<=≀<=*n*<=≀<=5000) β€” the number of exams Valera will take. Each of the next *n* lines contains two positive space-separated integers *a**i* and *b**i* (1<=≀<=*b**i*<=&lt;<=*a**i*<=≀<=109) β€” the date of the exam in the schedule and the early date of passing the *i...
Print a single integer β€” the minimum possible number of the day when Valera can take the last exam if he takes all the exams so that all the records in his record book go in the order of non-decreasing date.
[ "3\n5 2\n3 1\n4 2\n", "3\n6 1\n5 2\n4 3\n" ]
[ "2\n", "6\n" ]
In the first sample Valera first takes an exam in the second subject on the first day (the teacher writes down the schedule date that is 3). On the next day he takes an exam in the third subject (the teacher writes down the schedule date, 4), then he takes an exam in the first subject (the teacher writes down the mark ...
[ { "input": "3\n5 2\n3 1\n4 2", "output": "2" }, { "input": "3\n6 1\n5 2\n4 3", "output": "6" }, { "input": "1\n1000000000 999999999", "output": "999999999" }, { "input": "1\n2 1", "output": "1" }, { "input": "2\n3 2\n3 2", "output": "2" }, { "input": "...
46
716,800
0
1,037
340
The Wall
[ "math" ]
null
null
Iahub and his friend Floyd have started painting a wall. Iahub is painting the wall red and Floyd is painting it pink. You can consider the wall being made of a very large number of bricks, numbered 1, 2, 3 and so on. Iahub has the following scheme of painting: he skips *x*<=-<=1 consecutive bricks, then he paints th...
The input will have a single line containing four integers in this order: *x*, *y*, *a*, *b*. (1<=≀<=*x*,<=*y*<=≀<=1000, 1<=≀<=*a*,<=*b*<=≀<=2Β·109, *a*<=≀<=*b*).
Output a single integer β€” the number of bricks numbered no less than *a* and no greater than *b* that are painted both red and pink.
[ "2 3 6 18\n" ]
[ "3" ]
Let's look at the bricks from *a* to *b* (*a* = 6, *b* = 18). The bricks colored in red are numbered 6, 8, 10, 12, 14, 16, 18. The bricks colored in pink are numbered 6, 9, 12, 15, 18. The bricks colored in both red and pink are numbered with 6, 12 and 18.
[ { "input": "2 3 6 18", "output": "3" }, { "input": "4 6 20 201", "output": "15" }, { "input": "15 27 100 10000", "output": "74" }, { "input": "105 60 3456 78910", "output": "179" }, { "input": "1 1 1000 100000", "output": "99001" }, { "input": "3 2 5 5...
218
5,120,000
-1
1,041
1,004
Sonya and Hotels
[ "implementation" ]
null
null
Sonya decided that having her own hotel business is the best way of earning money because she can profit and rest wherever she wants. The country where Sonya lives is an endless line. There is a city in each integer coordinate on this line. She has $n$ hotels, where the $i$-th hotel is located in the city with coordin...
The first line contains two integers $n$ and $d$ ($1\leq n\leq 100$, $1\leq d\leq 10^9$)Β β€” the number of Sonya's hotels and the needed minimum distance from a new hotel to all others. The second line contains $n$ different integers in strictly increasing order $x_1, x_2, \ldots, x_n$ ($-10^9\leq x_i\leq 10^9$)Β β€” coord...
Print the number of cities where Sonya can build a new hotel so that the minimum distance from this hotel to all others is equal to $d$.
[ "4 3\n-3 2 9 16\n", "5 2\n4 8 11 18 19\n" ]
[ "6\n", "5\n" ]
In the first example, there are $6$ possible cities where Sonya can build a hotel. These cities have coordinates $-6$, $5$, $6$, $12$, $13$, and $19$. In the second example, there are $5$ possible cities where Sonya can build a hotel. These cities have coordinates $2$, $6$, $13$, $16$, and $21$.
[ { "input": "4 3\n-3 2 9 16", "output": "6" }, { "input": "5 2\n4 8 11 18 19", "output": "5" }, { "input": "10 10\n-67 -59 -49 -38 -8 20 41 59 74 83", "output": "8" }, { "input": "10 10\n0 20 48 58 81 95 111 137 147 159", "output": "9" }, { "input": "100 1\n0 1 2 3...
109
0
3
1,042
214
System of Equations
[ "brute force" ]
null
null
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you? You are given a system of equations: You should count, how many there are pairs of int...
A single line contains two integers *n*,<=*m* (1<=≀<=*n*,<=*m*<=≀<=1000) β€” the parameters of the system. The numbers on the line are separated by a space.
On a single line print the answer to the problem.
[ "9 3\n", "14 28\n", "4 20\n" ]
[ "1\n", "1\n", "0\n" ]
In the first sample the suitable pair is integers (3, 0). In the second sample the suitable pair is integers (3, 5). In the third sample there is no suitable pair.
[ { "input": "9 3", "output": "1" }, { "input": "14 28", "output": "1" }, { "input": "4 20", "output": "0" }, { "input": "18 198", "output": "1" }, { "input": "22 326", "output": "1" }, { "input": "26 104", "output": "1" }, { "input": "14 10"...
154
0
0
1,043
527
Clique Problem
[ "data structures", "dp", "greedy", "implementation", "sortings" ]
null
null
The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph *G*. It is required to find a subset of vertices *C* of the maximum size such that any two of them are connected by an edge in graph *G*. Sounds simple, doesn't ...
The first line contains the integer *n* (1<=≀<=*n*<=≀<=200<=000) β€” the number of points. Each of the next *n* lines contains two numbers *x**i*, *w**i* (0<=≀<=*x**i*<=≀<=109,<=1<=≀<=*w**i*<=≀<=109) β€” the coordinate and the weight of a point. All *x**i* are different.
Print a single number β€” the number of vertexes in the maximum clique of the given graph.
[ "4\n2 3\n3 1\n6 1\n0 2\n" ]
[ "3\n" ]
If you happen to know how to solve this problem without using the specific properties of the graph formulated in the problem statement, then you are able to get a prize of one million dollars! The picture for the sample test.
[ { "input": "4\n2 3\n3 1\n6 1\n0 2", "output": "3" }, { "input": "1\n42 23", "output": "1" }, { "input": "2\n1 5\n2 6", "output": "1" }, { "input": "2\n1 5\n12 6", "output": "2" }, { "input": "1\n0 1", "output": "1" }, { "input": "1\n1000000000 10000000...
46
0
0
1,044
703
Mishka and trip
[ "implementation", "math" ]
null
null
Little Mishka is a great traveller and she visited many countries. After thinking about where to travel this time, she chose XXXΒ β€” beautiful, but little-known northern country. Here are some interesting facts about XXX: 1. XXX consists of *n* cities, *k* of whose (just imagine!) are capital cities. 1. All of cities...
The first line of the input contains two integers *n* and *k* (3<=≀<=*n*<=≀<=100<=000,<=1<=≀<=*k*<=≀<=*n*)Β β€” the number of cities in XXX and the number of capital cities among them. The second line of the input contains *n* integers *c*1,<=*c*2,<=...,<=*c**n* (1<=≀<=*c**i*<=≀<=10<=000)Β β€” beauty values of the cities. ...
Print the only integerΒ β€” summary price of passing each of the roads in XXX.
[ "4 1\n2 3 1 2\n3\n", "5 2\n3 5 2 2 4\n1 4\n" ]
[ "17", "71" ]
This image describes first sample case: <img class="tex-graphics" src="https://espresso.codeforces.com/9dcb0e62694349977e064303a74efd880af5eb03.png" style="max-width: 100.0%;max-height: 100.0%;"/> It is easy to see that summary price is equal to 17. This image describes second sample case: <img class="tex-graphics"...
[ { "input": "4 1\n2 3 1 2\n3", "output": "17" }, { "input": "5 2\n3 5 2 2 4\n1 4", "output": "71" }, { "input": "3 1\n1 1 1\n1", "output": "3" }, { "input": "3 3\n1 1 1\n1 2 3", "output": "3" }, { "input": "7 7\n6 9 2 7 4 8 7\n1 2 3 4 5 6 7", "output": "775" ...
46
0
0
1,045
637
Promocodes with Mistakes
[ "*special", "brute force", "constructive algorithms", "implementation" ]
null
null
During a New Year special offer the "Sudislavl Bars" offered *n* promo codes. Each promo code consists of exactly six digits and gives right to one free cocktail at the bar "Mosquito Shelter". Of course, all the promocodes differ. As the "Mosquito Shelter" opens only at 9, and partying in Sudislavl usually begins at a...
The first line of the output contains number *n* (1<=≀<=*n*<=≀<=1000)Β β€” the number of promocodes. Each of the next *n* lines contains a single promocode, consisting of exactly 6 digits. It is guaranteed that all the promocodes are distinct. Promocodes can start from digit "0".
Print the maximum *k* (naturally, not exceeding the length of the promocode), such that any promocode can be uniquely identified if it is typed with at most *k* mistakes.
[ "2\n000000\n999999\n", "6\n211111\n212111\n222111\n111111\n112111\n121111\n" ]
[ "2\n", "0\n" ]
In the first sample *k* &lt; 3, so if a bar customer types in value "090909", then it will be impossible to define which promocode exactly corresponds to it.
[ { "input": "2\n000000\n999999", "output": "2" }, { "input": "6\n211111\n212111\n222111\n111111\n112111\n121111", "output": "0" }, { "input": "1\n123456", "output": "6" }, { "input": "2\n000000\n099999", "output": "2" }, { "input": "2\n000000\n009999", "output"...
31
6,963,200
-1
1,048
527
Playing with Paper
[ "implementation", "math" ]
null
null
One day Vasya was sitting on a not so interesting Maths lesson and making an origami from a rectangular *a* mm <=Γ—<= *b* mm sheet of paper (*a*<=&gt;<=*b*). Usually the first step in making an origami is making a square piece of paper from the rectangular sheet by folding the sheet along the bisector of the right angle...
The first line of the input contains two integers *a*, *b* (1<=≀<=*b*<=&lt;<=*a*<=≀<=1012) β€” the sizes of the original sheet of paper.
Print a single integer β€” the number of ships that Vasya will make.
[ "2 1\n", "10 7\n", "1000000000000 1\n" ]
[ "2\n", "6\n", "1000000000000\n" ]
Pictures to the first and second sample test.
[ { "input": "2 1", "output": "2" }, { "input": "10 7", "output": "6" }, { "input": "1000000000000 1", "output": "1000000000000" }, { "input": "3 1", "output": "3" }, { "input": "4 1", "output": "4" }, { "input": "3 2", "output": "3" }, { "in...
61
0
-1
1,049
492
Vanya and Lanterns
[ "binary search", "implementation", "math", "sortings" ]
null
null
Vanya walks late at night along a straight street of length *l*, lit by *n* lanterns. Consider the coordinate system with the beginning of the street corresponding to the point 0, and its end corresponding to the point *l*. Then the *i*-th lantern is at the point *a**i*. The lantern lights all points of the street that...
The first line contains two integers *n*, *l* (1<=≀<=*n*<=≀<=1000, 1<=≀<=*l*<=≀<=109)Β β€” the number of lanterns and the length of the street respectively. The next line contains *n* integers *a**i* (0<=≀<=*a**i*<=≀<=*l*). Multiple lanterns can be located at the same point. The lanterns may be located at the ends of th...
Print the minimum light radius *d*, needed to light the whole street. The answer will be considered correct if its absolute or relative error doesn't exceed 10<=-<=9.
[ "7 15\n15 5 3 7 9 14 0\n", "2 5\n2 5\n" ]
[ "2.5000000000\n", "2.0000000000\n" ]
Consider the second sample. At *d* = 2 the first lantern will light the segment [0, 4] of the street, and the second lantern will light segment [3, 5]. Thus, the whole street will be lit.
[ { "input": "7 15\n15 5 3 7 9 14 0", "output": "2.5000000000" }, { "input": "2 5\n2 5", "output": "2.0000000000" }, { "input": "46 615683844\n431749087 271781274 274974690 324606253 480870261 401650581 13285442 478090364 266585394 425024433 588791449 492057200 391293435 563090494 317950 1...
46
0
0
1,051
381
Sereja and Dima
[ "greedy", "implementation", "two pointers" ]
null
null
Sereja and Dima play a game. The rules of the game are very simple. The players have *n* cards in a row. Each card contains a number, all numbers on the cards are distinct. The players take turns, Sereja moves first. During his turn a player can take one card: either the leftmost card in a row, or the rightmost one. Th...
The first line contains integer *n* (1<=≀<=*n*<=≀<=1000) β€” the number of cards on the table. The second line contains space-separated numbers on the cards from left to right. The numbers on the cards are distinct integers from 1 to 1000.
On a single line, print two integers. The first number is the number of Sereja's points at the end of the game, the second number is the number of Dima's points at the end of the game.
[ "4\n4 1 2 10\n", "7\n1 2 3 4 5 6 7\n" ]
[ "12 5\n", "16 12\n" ]
In the first sample Sereja will take cards with numbers 10 and 2, so Sereja's sum is 12. Dima will take cards with numbers 4 and 1, so Dima's sum is 5.
[ { "input": "4\n4 1 2 10", "output": "12 5" }, { "input": "7\n1 2 3 4 5 6 7", "output": "16 12" }, { "input": "42\n15 29 37 22 16 5 26 31 6 32 19 3 45 36 33 14 25 20 48 7 42 11 24 28 9 18 8 21 47 17 38 40 44 4 35 1 43 39 41 27 12 13", "output": "613 418" }, { "input": "43\n32 ...
46
0
3
1,055
903
Boxes Packing
[ "greedy" ]
null
null
Mishka has got *n* empty boxes. For every *i* (1<=≀<=*i*<=≀<=*n*), *i*-th box is a cube with side length *a**i*. Mishka can put a box *i* into another box *j* if the following conditions are met: - *i*-th box is not put into another box; - *j*-th box doesn't contain any other boxes; - box *i* is smaller than box *...
The first line contains one integer *n* (1<=≀<=*n*<=≀<=5000) β€” the number of boxes Mishka has got. The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≀<=*a**i*<=≀<=109), where *a**i* is the side length of *i*-th box.
Print the minimum possible number of visible boxes.
[ "3\n1 2 3\n", "4\n4 2 4 3\n" ]
[ "1\n", "2\n" ]
In the first example it is possible to put box 1 into box 2, and 2 into 3. In the second example Mishka can put box 2 into box 3, and box 4 into box 1.
[ { "input": "3\n1 2 3", "output": "1" }, { "input": "4\n4 2 4 3", "output": "2" }, { "input": "10\n58 58 58 58 58 58 58 58 58 58", "output": "10" }, { "input": "10\n86 89 89 86 86 89 86 86 89 89", "output": "5" }, { "input": "100\n981 288 186 186 292 876 341 288 98...
108
0
0
1,058
875
Classroom Watch
[ "brute force", "math" ]
null
null
Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number *n*. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that *n* is the answer to the arithmetic task for first-graders. In the textbook, a certain ...
The first line contains integer *n* (1<=≀<=*n*<=≀<=109).
In the first line print one integer *k*Β β€” number of different values of *x* satisfying the condition. In next *k* lines print these values in ascending order.
[ "21\n", "20\n" ]
[ "1\n15\n", "0\n" ]
In the first test case *x* = 15 there is only one variant: 15 + 1 + 5 = 21. In the second test case there are no such *x*.
[ { "input": "21", "output": "1\n15" }, { "input": "20", "output": "0" }, { "input": "1", "output": "0" }, { "input": "2", "output": "1\n1" }, { "input": "3", "output": "0" }, { "input": "100000001", "output": "2\n99999937\n100000000" }, { "i...
1,000
0
0
1,059
611
New Year and Days
[ "implementation" ]
null
null
Today is Wednesday, the third day of the week. What's more interesting is that tomorrow is the last day of the year 2015. Limak is a little polar bear. He enjoyed this year a lot. Now, he is so eager to the coming year 2016. Limak wants to prove how responsible a bear he is. He is going to regularly save candies for ...
The only line of the input is in one of the following two formats: - "*x* of week" where *x* (1<=≀<=*x*<=≀<=7) denotes the day of the week. The 1-st day is Monday and the 7-th one is Sunday. - "*x* of month" where *x* (1<=≀<=*x*<=≀<=31) denotes the day of the month.
Print one integerΒ β€” the number of candies Limak will save in the year 2016.
[ "4 of week\n", "30 of month\n" ]
[ "52\n", "11\n" ]
Polar bears use the Gregorian calendar. It is the most common calendar and you likely use it too. You can read about it on Wikipedia if you want to – [https://en.wikipedia.org/wiki/Gregorian_calendar](https://en.wikipedia.org/wiki/Gregorian_calendar). The week starts with Monday. In the first sample Limak wants to sav...
[ { "input": "4 of week", "output": "52" }, { "input": "30 of month", "output": "11" }, { "input": "17 of month", "output": "12" }, { "input": "31 of month", "output": "7" }, { "input": "6 of week", "output": "53" }, { "input": "1 of week", "output":...
46
0
0
1,062
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
3
1,063
353
Two Heaps
[ "combinatorics", "constructive algorithms", "greedy", "implementation", "math", "sortings" ]
null
null
Valera has 2Β·*n* cubes, each cube contains an integer from 10 to 99. He arbitrarily chooses *n* cubes and puts them in the first heap. The remaining cubes form the second heap. Valera decided to play with cubes. During the game he takes a cube from the first heap and writes down the number it has. Then he takes a cub...
The first line contains integer *n* (1<=≀<=*n*<=≀<=100). The second line contains 2Β·*n* space-separated integers *a**i* (10<=≀<=*a**i*<=≀<=99), denoting the numbers on the cubes.
In the first line print a single number β€” the maximum possible number of distinct four-digit numbers Valera can obtain. In the second line print 2Β·*n* numbers *b**i* (1<=≀<=*b**i*<=≀<=2). The numbers mean: the *i*-th cube belongs to the *b**i*-th heap in your division. If there are multiple optimal ways to split the c...
[ "1\n10 99\n", "2\n13 24 13 45\n" ]
[ "1\n2 1 \n", "4\n1 2 2 1 \n" ]
In the first test case Valera can put the first cube in the first heap, and second cube β€” in second heap. In this case he obtain number 1099. If he put the second cube in the first heap, and the first cube in the second heap, then he can obtain number 9910. In both cases the maximum number of distinct integers is equal...
[ { "input": "1\n10 99", "output": "1\n2 1 " }, { "input": "2\n13 24 13 45", "output": "4\n1 2 2 1 " }, { "input": "5\n21 60 18 21 17 39 58 74 62 34", "output": "25\n1 1 1 2 2 1 2 1 2 2 " }, { "input": "10\n26 43 29 92 22 27 95 56 72 55 93 51 91 30 70 77 32 69 87 98", "outp...
312
20,172,800
3
1,067
771
Bear and Friendship Condition
[ "dfs and similar", "dsu", "graphs" ]
null
null
Bear Limak examines a social network. Its main functionality is that two members can become friends (then they can talk with each other and share funny pictures). There are *n* members, numbered 1 through *n*. *m* pairs of members are friends. Of course, a member can't be a friend with themselves. Let A-B denote that...
The first line of the input contain two integers *n* and *m* (3<=≀<=*n*<=≀<=150<=000, )Β β€” the number of members and the number of pairs of members that are friends. The *i*-th of the next *m* lines contains two distinct integers *a**i* and *b**i* (1<=≀<=*a**i*,<=*b**i*<=≀<=*n*,<=*a**i*<=β‰ <=*b**i*). Members *a**i* and ...
If the given network is reasonable, print "YES" in a single line (without the quotes). Otherwise, print "NO" in a single line (without the quotes).
[ "4 3\n1 3\n3 4\n1 4\n", "4 4\n3 1\n2 3\n3 4\n1 2\n", "10 4\n4 3\n5 10\n8 9\n1 2\n", "3 2\n1 2\n2 3\n" ]
[ "YES\n", "NO\n", "YES\n", "NO\n" ]
The drawings below show the situation in the first sample (on the left) and in the second sample (on the right). Each edge represents two members that are friends. The answer is "NO" in the second sample because members (2, 3) are friends and members (3, 4) are friends, while members (2, 4) are not.
[ { "input": "4 3\n1 3\n3 4\n1 4", "output": "YES" }, { "input": "4 4\n3 1\n2 3\n3 4\n1 2", "output": "NO" }, { "input": "10 4\n4 3\n5 10\n8 9\n1 2", "output": "YES" }, { "input": "3 2\n1 2\n2 3", "output": "NO" }, { "input": "3 0", "output": "YES" }, { ...
1,000
8,499,200
0
1,069
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": ...
46
204,800
3
1,073
265
Roadside Trees (Simplified Edition)
[ "greedy", "implementation" ]
null
null
Squirrel Liss loves nuts. There are *n* trees (numbered 1 to *n* from west to east) along a street and there is a delicious nut on the top of each tree. The height of the tree *i* is *h**i*. Liss wants to eat all nuts. Now Liss is on the root of the tree with the number 1. In one second Liss can perform one of the fol...
The first line contains an integer *n* (1<=<=≀<=<=*n*<=≀<=105) β€” the number of trees. Next *n* lines contains the height of trees: *i*-th line contains an integer *h**i* (1<=≀<=*h**i*<=≀<=104) β€” the height of the tree with the number *i*.
Print a single integer β€” the minimal time required to eat all nuts in seconds.
[ "2\n1\n2\n", "5\n2\n1\n2\n1\n1\n" ]
[ "5\n", "14\n" ]
none
[ { "input": "2\n1\n2", "output": "5" }, { "input": "5\n2\n1\n2\n1\n1", "output": "14" }, { "input": "1\n1", "output": "2" } ]
248
6,963,200
0
1,077
343
Read Time
[ "binary search", "greedy", "two pointers" ]
null
null
Mad scientist Mike does not use slow hard disks. His modification of a hard drive has not one, but *n* different heads that can read data in parallel. When viewed from the side, Mike's hard drive is an endless array of tracks. The tracks of the array are numbered from left to right with integers, starting with 1. In t...
The first line of the input contains two space-separated integers *n*, *m* (1<=≀<=*n*,<=*m*<=≀<=105) β€” the number of disk heads and the number of tracks to read, accordingly. The second line contains *n* distinct integers *h**i* in ascending order (1<=≀<=*h**i*<=≀<=1010, *h**i*<=&lt;<=*h**i*<=+<=1) β€” the initial positi...
Print a single number β€” the minimum time required, in seconds, to read all the needed tracks.
[ "3 4\n2 5 6\n1 3 6 8\n", "3 3\n1 2 3\n1 2 3\n", "1 2\n165\n142 200\n" ]
[ "2\n", "0\n", "81\n" ]
The first test coincides with the figure. In this case the given tracks can be read in 2 seconds in the following way: 1. during the first second move the 1-st head to the left and let it stay there; 1. move the second head to the left twice; 1. move the third head to the right twice (note that the 6-th track has ...
[ { "input": "3 4\n2 5 6\n1 3 6 8", "output": "2" }, { "input": "3 3\n1 2 3\n1 2 3", "output": "0" }, { "input": "1 2\n165\n142 200", "output": "81" }, { "input": "1 2\n5000000000\n1 10000000000", "output": "14999999998" }, { "input": "2 4\n3 12\n1 7 8 14", "out...
233
20,172,800
3
1,079
678
Iterated Linear Function
[ "math", "number theory" ]
null
null
Consider a linear function *f*(*x*)<==<=*Ax*<=+<=*B*. Let's define *g*(0)(*x*)<==<=*x* and *g*(*n*)(*x*)<==<=*f*(*g*(*n*<=-<=1)(*x*)) for *n*<=&gt;<=0. For the given integer values *A*, *B*, *n* and *x* find the value of *g*(*n*)(*x*) modulo 109<=+<=7.
The only line contains four integers *A*, *B*, *n* and *x* (1<=≀<=*A*,<=*B*,<=*x*<=≀<=109,<=1<=≀<=*n*<=≀<=1018) β€” the parameters from the problem statement. Note that the given value *n* can be too large, so you should use 64-bit integer type to store it. In C++ you can use the long long integer type and in Java you c...
Print the only integer *s* β€” the value *g*(*n*)(*x*) modulo 109<=+<=7.
[ "3 4 1 1\n", "3 4 2 1\n", "3 4 3 1\n" ]
[ "7\n", "25\n", "79\n" ]
none
[ { "input": "3 4 1 1", "output": "7" }, { "input": "3 4 2 1", "output": "25" }, { "input": "3 4 3 1", "output": "79" }, { "input": "1 1 1 1", "output": "2" }, { "input": "3 10 723 6", "output": "443623217" }, { "input": "14 81 51 82", "output": "908...
140
0
3
1,082
424
Squats
[ "implementation" ]
null
null
Pasha has many hamsters and he makes them work out. Today, *n* hamsters (*n* is even) came to work out. The hamsters lined up and each hamster either sat down or stood up. For another exercise, Pasha needs exactly hamsters to stand up and the other hamsters to sit down. In one minute, Pasha can make some hamster ethe...
The first line contains integer *n* (2<=≀<=*n*<=≀<=200; *n* is even). The next line contains *n* characters without spaces. These characters describe the hamsters' position: the *i*-th character equals 'X', if the *i*-th hamster in the row is standing, and 'x', if he is sitting.
In the first line, print a single integer β€” the minimum required number of minutes. In the second line, print a string that describes the hamsters' position after Pasha makes the required changes. If there are multiple optimal positions, print any of them.
[ "4\nxxXx\n", "2\nXX\n", "6\nxXXxXx\n" ]
[ "1\nXxXx\n", "1\nxX\n", "0\nxXXxXx\n" ]
none
[ { "input": "4\nxxXx", "output": "1\nXxXx" }, { "input": "2\nXX", "output": "1\nxX" }, { "input": "6\nxXXxXx", "output": "0\nxXXxXx" }, { "input": "4\nxXXX", "output": "1\nxxXX" }, { "input": "2\nXx", "output": "0\nXx" }, { "input": "22\nXXxXXxxXxXxXXXX...
46
0
3
1,083
67
Partial Teacher
[ "dp", "graphs", "greedy", "implementation" ]
A. Partial Teacher
1
256
A teacher decides to give toffees to his students. He asks *n* students to stand in a queue. Since the teacher is very partial, he follows the following rule to distribute toffees. He looks at the first two students and gives more toffees to the student having higher marks than the other one. If they have the same mar...
The first line of input contains the number of students *n* (2<=≀<=*n*<=≀<=1000). The second line gives (*n*<=-<=1) characters consisting of "L", "R" and "=". For each pair of adjacent students "L" means that the left student has higher marks, "R" means that the right student has higher marks and "=" means that both ha...
Output consists of *n* integers separated by a space representing the number of toffees each student receives in the queue starting from the first one to the last one.
[ "5\nLRLR\n", "5\n=RRR\n" ]
[ "2 1 2 1 2\n", "1 1 2 3 4\n" ]
none
[ { "input": "5\nLRLR", "output": "2 1 2 1 2" }, { "input": "5\n=RRR", "output": "1 1 2 3 4" }, { "input": "6\nRLRL=", "output": "1 2 1 2 1 1" }, { "input": "3\nR=", "output": "1 2 2" }, { "input": "7\nRR==RR", "output": "1 2 3 3 3 4 5" }, { "input": "16...
280
0
0
1,087
601
The Two Routes
[ "graphs", "shortest paths" ]
null
null
In Absurdistan, there are *n* towns (numbered 1 through *n*) and *m* bidirectional railways. There is also an absurdly simple road networkΒ β€” for each pair of different towns *x* and *y*, there is a bidirectional road between towns *x* and *y* if and only if there is no railway between them. Travelling to a different to...
The first line of the input contains two integers *n* and *m* (2<=≀<=*n*<=≀<=400, 0<=≀<=*m*<=≀<=*n*(*n*<=-<=1)<=/<=2)Β β€” the number of towns and the number of railways respectively. Each of the next *m* lines contains two integers *u* and *v*, denoting a railway between towns *u* and *v* (1<=≀<=*u*,<=*v*<=≀<=*n*, *u*<=...
Output one integerΒ β€” the smallest possible time of the later vehicle's arrival in town *n*. If it's impossible for at least one of the vehicles to reach town *n*, output <=-<=1.
[ "4 2\n1 3\n3 4\n", "4 6\n1 2\n1 3\n1 4\n2 3\n2 4\n3 4\n", "5 5\n4 2\n3 5\n4 5\n5 1\n1 2\n" ]
[ "2\n", "-1\n", "3\n" ]
In the first sample, the train can take the route <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/7c0aa60a06309ef607b7159fd7f3687ea0d943ce.png" style="max-width: 100.0%;max-height: 100.0%;"/> and the bus can take the route <img align="middle" class="tex-formula" src="https://espresso.codefo...
[ { "input": "4 2\n1 3\n3 4", "output": "2" }, { "input": "4 6\n1 2\n1 3\n1 4\n2 3\n2 4\n3 4", "output": "-1" }, { "input": "5 5\n4 2\n3 5\n4 5\n5 1\n1 2", "output": "3" }, { "input": "5 4\n1 2\n3 2\n3 4\n5 4", "output": "4" }, { "input": "3 1\n1 2", "output": "...
108
0
0
1,093
52
123-sequence
[ "implementation" ]
A. 123-sequence
2
256
There is a given sequence of integers *a*1,<=*a*2,<=...,<=*a**n*, where every number is from 1 to 3 inclusively. You have to replace the minimum number of numbers in it so that all the numbers in the sequence are equal to each other.
The first line contains an integer *n* (1<=≀<=*n*<=≀<=106). The second line contains a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=3).
Print the minimum number of replacements needed to be performed to make all the numbers in the sequence equal.
[ "9\n1 3 2 2 2 1 1 2 3\n" ]
[ "5\n" ]
In the example all the numbers equal to 1 and 3 should be replaced by 2.
[ { "input": "9\n1 3 2 2 2 1 1 2 3", "output": "5" }, { "input": "6\n3 3 2 2 1 3", "output": "3" }, { "input": "12\n3 1 3 1 2 1 3 2 2 1 2 1", "output": "7" }, { "input": "15\n3 2 1 1 1 1 3 2 2 3 3 1 2 3 2", "output": "10" }, { "input": "2\n2 1", "output": "1" ...
374
11,059,200
3.885901
1,094
849
Tell Your World
[ "brute force", "geometry" ]
null
null
Connect the countless points with lines, till we reach the faraway yonder. There are *n* points on a coordinate plane, the *i*-th of which being (*i*,<=*y**i*). Determine whether it's possible to draw two parallel and non-overlapping lines, such that every point in the set lies on exactly one of them, and each of the...
The first line of input contains a positive integer *n* (3<=≀<=*n*<=≀<=1<=000) β€” the number of points. The second line contains *n* space-separated integers *y*1,<=*y*2,<=...,<=*y**n* (<=-<=109<=≀<=*y**i*<=≀<=109) β€” the vertical coordinates of each point.
Output "Yes" (without quotes) if it's possible to fulfill the requirements, and "No" otherwise. You can print each letter in any case (upper or lower).
[ "5\n7 5 8 6 9\n", "5\n-1 -2 0 0 -5\n", "5\n5 4 3 2 1\n", "5\n1000000000 0 0 0 0\n" ]
[ "Yes\n", "No\n", "No\n", "Yes\n" ]
In the first example, there are five points: (1, 7), (2, 5), (3, 8), (4, 6) and (5, 9). It's possible to draw a line that passes through points 1, 3, 5, and another one that passes through points 2, 4 and is parallel to the first one. In the second example, while it's possible to draw two lines that cover all points, ...
[ { "input": "5\n7 5 8 6 9", "output": "Yes" }, { "input": "5\n-1 -2 0 0 -5", "output": "No" }, { "input": "5\n5 4 3 2 1", "output": "No" }, { "input": "5\n1000000000 0 0 0 0", "output": "Yes" }, { "input": "5\n1000000000 1 0 -999999999 -1000000000", "output": "...
93
0
0
1,097
1,000
Light It Up
[ "greedy" ]
null
null
Recently, you bought a brand new smart lamp with programming features. At first, you set up a schedule to the lamp. Every day it will turn power on at moment $0$ and turn power off at moment $M$. Moreover, the lamp allows you to set a program of switching its state (states are "lights on" and "lights off"). Unfortunate...
First line contains two space separated integers $n$ and $M$ ($1 \le n \le 10^5$, $2 \le M \le 10^9$) β€” the length of program $a$ and the moment when power turns off. Second line contains $n$ space separated integers $a_1, a_2, \dots, a_n$ ($0 &lt; a_1 &lt; a_2 &lt; \dots &lt; a_n &lt; M$) β€” initially installed progra...
Print the only integer β€” maximum possible total time when the lamp is lit.
[ "3 10\n4 6 7\n", "2 12\n1 10\n", "2 7\n3 4\n" ]
[ "8\n", "9\n", "6\n" ]
In the first example, one of possible optimal solutions is to insert value $x = 3$ before $a_1$, so program will be $[3, 4, 6, 7]$ and time of lamp being lit equals $(3 - 0) + (6 - 4) + (10 - 7) = 8$. Other possible solution is to insert $x = 5$ in appropriate place. In the second example, there is only one optimal so...
[ { "input": "3 10\n4 6 7", "output": "8" }, { "input": "2 12\n1 10", "output": "9" }, { "input": "2 7\n3 4", "output": "6" }, { "input": "1 2\n1", "output": "1" }, { "input": "5 10\n1 3 5 6 8", "output": "6" }, { "input": "7 1000000000\n1 10001 10011 20...
31
4,505,600
0
1,102
0
none
[ "none" ]
null
null
Malek has recently found a treasure map. While he was looking for a treasure he found a locked door. There was a string *s* written on the door consisting of characters '(', ')' and '#'. Below there was a manual on how to open the door. After spending a long time Malek managed to decode the manual and found out that th...
The first line of the input contains a string *s* (1<=≀<=|*s*|<=≀<=105). Each character of this string is one of the characters '(', ')' or '#'. It is guaranteed that *s* contains at least one '#' character.
If there is no way of replacing '#' characters which leads to a beautiful string print <=-<=1. Otherwise for each character '#' print a separate line containing a positive integer, the number of ')' characters this character must be replaced with. If there are several possible answers, you may output any of them.
[ "(((#)((#)\n", "()((#((#(#()\n", "#\n", "(#)\n" ]
[ "1\n2\n", "2\n2\n1", "-1\n", "-1\n" ]
|*s*| denotes the length of the string *s*.
[ { "input": "(((#)((#)", "output": "1\n2" }, { "input": "()((#((#(#()", "output": "1\n1\n3" }, { "input": "#", "output": "-1" }, { "input": "(#)", "output": "-1" }, { "input": "(((((#(#(#(#()", "output": "1\n1\n1\n5" }, { "input": "#))))", "output":...
155
307,200
0
1,103
433
Kitahara Haruki's Gift
[ "brute force", "implementation" ]
null
null
Kitahara Haruki has bought *n* apples for Touma Kazusa and Ogiso Setsuna. Now he wants to divide all the apples between the friends. Each apple weights 100 grams or 200 grams. Of course Kitahara Haruki doesn't want to offend any of his friend. Therefore the total weight of the apples given to Touma Kazusa must be equa...
The first line contains an integer *n* (1<=≀<=*n*<=≀<=100) β€” the number of apples. The second line contains *n* integers *w*1,<=*w*2,<=...,<=*w**n* (*w**i*<==<=100 or *w**i*<==<=200), where *w**i* is the weight of the *i*-th apple.
In a single line print "YES" (without the quotes) if it is possible to divide all the apples between his friends. Otherwise print "NO" (without the quotes).
[ "3\n100 200 100\n", "4\n100 100 100 200\n" ]
[ "YES\n", "NO\n" ]
In the first test sample Kitahara Haruki can give the first and the last apple to Ogiso Setsuna and the middle apple to Touma Kazusa.
[ { "input": "3\n100 200 100", "output": "YES" }, { "input": "4\n100 100 100 200", "output": "NO" }, { "input": "1\n100", "output": "NO" }, { "input": "1\n200", "output": "NO" }, { "input": "2\n100 100", "output": "YES" }, { "input": "2\n200 200", "o...
46
0
0
1,106
350
Bombs
[ "greedy", "implementation", "sortings" ]
null
null
You've got a robot, its task is destroying bombs on a square plane. Specifically, the square plane contains *n* bombs, the *i*-th bomb is at point with coordinates (*x**i*,<=*y**i*). We know that no two bombs are at the same point and that no bomb is at point with coordinates (0,<=0). Initially, the robot is at point w...
The first line contains a single integer *n* (1<=≀<=*n*<=≀<=105) β€” the number of bombs on the coordinate plane. Next *n* lines contain two integers each. The *i*-th line contains numbers (*x**i*,<=*y**i*) (<=-<=109<=≀<=*x**i*,<=*y**i*<=≀<=109) β€” the coordinates of the *i*-th bomb. It is guaranteed that no two bombs are...
In a single line print a single integer *k* β€” the minimum number of operations needed to destroy all bombs. On the next lines print the descriptions of these *k* operations. If there are multiple sequences, you can print any of them. It is guaranteed that there is the solution where *k*<=≀<=106.
[ "2\n1 1\n-1 -1\n", "3\n5 0\n0 5\n1 0\n" ]
[ "12\n1 1 R\n1 1 U\n2\n1 1 L\n1 1 D\n3\n1 1 L\n1 1 D\n2\n1 1 R\n1 1 U\n3\n", "12\n1 1 R\n2\n1 1 L\n3\n1 5 R\n2\n1 5 L\n3\n1 5 U\n2\n1 5 D\n3\n" ]
none
[ { "input": "2\n1 1\n-1 -1", "output": "12\n1 1 R\n1 1 U\n2\n1 1 L\n1 1 D\n3\n1 1 L\n1 1 D\n2\n1 1 R\n1 1 U\n3" }, { "input": "3\n5 0\n0 5\n1 0", "output": "12\n1 1 R\n2\n1 1 L\n3\n1 5 R\n2\n1 5 L\n3\n1 5 U\n2\n1 5 D\n3" }, { "input": "1\n-277226476 314722425", "output": "6\n1 2772264...
218
0
0
1,107
762
USB vs. PS/2
[ "greedy", "implementation", "sortings", "two pointers" ]
null
null
Due to the increase in the number of students of Berland State University it was decided to equip a new computer room. You were given the task of buying mouses, and you have to spend as little as possible. After all, the country is in crisis! The computers bought for the room were different. Some of them had only USB ...
The first line contains three integers *a*, *b* and *c* (0<=≀<=*a*,<=*b*,<=*c*<=≀<=105) Β β€” the number of computers that only have USB ports, the number of computers, that only have PS/2 ports, and the number of computers, that have both options, respectively. The next line contains one integer *m* (0<=≀<=*m*<=≀<=3Β·105...
Output two integers separated by spaceΒ β€” the number of equipped computers and the total cost of the mouses you will buy.
[ "2 1 1\n4\n5 USB\n6 PS/2\n3 PS/2\n7 PS/2\n" ]
[ "3 14\n" ]
In the first example you can buy the first three mouses. This way you will equip one of the computers that has only a USB port with a USB mouse, and the two PS/2 mouses you will plug into the computer with PS/2 port and the computer with both ports.
[ { "input": "2 1 1\n4\n5 USB\n6 PS/2\n3 PS/2\n7 PS/2", "output": "3 14" }, { "input": "1 4 4\n12\n36949214 USB\n683538043 USB\n595594834 PS/2\n24951774 PS/2\n131512123 USB\n327575645 USB\n30947411 USB\n916758386 PS/2\n474310330 USB\n350512489 USB\n281054887 USB\n875326145 USB", "output": "8 23453...
77
2,867,200
-1
1,110
17
Noldbach problem
[ "brute force", "math", "number theory" ]
A. Noldbach problem
2
64
Nick is interested in prime numbers. Once he read about Goldbach problem. It states that every even integer greater than 2 can be expressed as the sum of two primes. That got Nick's attention and he decided to invent a problem of his own and call it Noldbach problem. Since Nick is interested only in prime numbers, Nold...
The first line of the input contains two integers *n* (2<=≀<=*n*<=≀<=1000) and *k* (0<=≀<=*k*<=≀<=1000).
Output YES if at least *k* prime numbers from 2 to *n* inclusively can be expressed as it was described above. Otherwise output NO.
[ "27 2\n", "45 7\n" ]
[ "YES", "NO" ]
In the first sample the answer is YES since at least two numbers can be expressed as it was described (for example, 13 and 19). In the second sample the answer is NO since it is impossible to express 7 prime numbers from 2 to 45 in the desired form.
[ { "input": "27 2", "output": "YES" }, { "input": "45 7", "output": "NO" }, { "input": "2 0", "output": "YES" }, { "input": "15 1", "output": "YES" }, { "input": "17 1", "output": "YES" }, { "input": "34 5", "output": "NO" }, { "input": "37 ...
30
5,632,000
0
1,113
155
I_love_\%username\%
[ "brute force" ]
null
null
Vasya adores sport programming. He can't write programs but he loves to watch the contests' progress. Vasya even has a favorite coder and Vasya pays special attention to him. One day Vasya decided to collect the results of all contests where his favorite coder participated and track the progress of his coolness. For e...
The first line contains the single integer *n* (1<=≀<=*n*<=≀<=1000) β€” the number of contests where the coder participated. The next line contains *n* space-separated non-negative integer numbers β€” they are the points which the coder has earned. The points are given in the chronological order. All points do not exceed ...
Print the single number β€” the number of amazing performances the coder has had during his whole history of participating in the contests.
[ "5\n100 50 200 150 200\n", "10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242\n" ]
[ "2\n", "4\n" ]
In the first sample the performances number 2 and 3 are amazing. In the second sample the performances number 2, 4, 9 and 10 are amazing.
[ { "input": "5\n100 50 200 150 200", "output": "2" }, { "input": "10\n4664 6496 5814 7010 5762 5736 6944 4850 3698 7242", "output": "4" }, { "input": "1\n6", "output": "0" }, { "input": "2\n2 1", "output": "1" }, { "input": "5\n100 36 53 7 81", "output": "2" ...
124
0
3
1,118
142
Help Farmer
[ "brute force", "math" ]
null
null
Once upon a time in the Kingdom of Far Far Away lived Sam the Farmer. Sam had a cow named Dawn and he was deeply attached to her. Sam would spend the whole summer stocking hay to feed Dawn in winter. Sam scythed hay and put it into haystack. As Sam was a bright farmer, he tried to make the process of storing hay simple...
The only line contains integer *n* from the problem's statement (1<=≀<=*n*<=≀<=109).
Print space-separated minimum and maximum number of hay blocks that could have been stolen by the thieves. Note that the answer to the problem can be large enough, so you must use the 64-bit integer type for calculations. Please, do not use the %lld specificator to read or write 64-bit integers in Π‘++. It is preferred...
[ "4\n", "7\n", "12\n" ]
[ "28 41\n", "47 65\n", "48 105\n" ]
Let's consider the first sample test. If initially Sam has a parallelepiped consisting of 32 = 2 × 4 × 4 hay blocks in his barn, then after the theft the barn has 4 = (2 - 1) × (4 - 2) × (4 - 2) hay blocks left. Thus, the thieves could have stolen 32 - 4 = 28 hay blocks. If Sam initially had a parallelepiped consisting...
[ { "input": "4", "output": "28 41" }, { "input": "7", "output": "47 65" }, { "input": "12", "output": "48 105" }, { "input": "1", "output": "17 17" }, { "input": "6", "output": "34 57" }, { "input": "8", "output": "40 73" }, { "input": "9", ...
1,000
1,228,800
0
1,119
780
Andryusha and Socks
[ "implementation" ]
null
null
Andryusha is an orderly boy and likes to keep things in their place. Today he faced a problem to put his socks in the wardrobe. He has *n* distinct pairs of socks which are initially in a bag. The pairs are numbered from 1 to *n*. Andryusha wants to put paired socks together and put them in the wardrobe. He takes the ...
The first line contains the single integer *n* (1<=≀<=*n*<=≀<=105)Β β€” the number of sock pairs. The second line contains 2*n* integers *x*1,<=*x*2,<=...,<=*x*2*n* (1<=≀<=*x**i*<=≀<=*n*), which describe the order in which Andryusha took the socks from the bag. More precisely, *x**i* means that the *i*-th sock Andryusha ...
Print single integerΒ β€” the maximum number of socks that were on the table at the same time.
[ "1\n1 1\n", "3\n2 1 1 3 2 3\n" ]
[ "1\n", "2\n" ]
In the first example Andryusha took a sock from the first pair and put it on the table. Then he took the next sock which is from the first pair as well, so he immediately puts both socks to the wardrobe. Thus, at most one sock was on the table at the same time. In the second example Andryusha behaved as follows: - ...
[ { "input": "1\n1 1", "output": "1" }, { "input": "3\n2 1 1 3 2 3", "output": "2" }, { "input": "5\n5 1 3 2 4 3 1 2 4 5", "output": "5" }, { "input": "10\n4 2 6 3 4 8 7 1 1 5 2 10 6 8 3 5 10 9 9 7", "output": "6" }, { "input": "50\n30 47 31 38 37 50 36 43 9 23 2 2 ...
202
13,721,600
3
1,121
551
GukiZ hates Boxes
[ "binary search", "greedy" ]
null
null
Professor GukiZ is concerned about making his way to school, because massive piles of boxes are blocking his way. In total there are *n* piles of boxes, arranged in a line, from left to right, *i*-th pile (1<=≀<=*i*<=≀<=*n*) containing *a**i* boxes. Luckily, *m* students are willing to help GukiZ by removing all the ...
The first line contains two integers *n* and *m* (1<=≀<=*n*,<=*m*<=≀<=105), the number of piles of boxes and the number of GukiZ's students. The second line contains *n* integers *a*1,<=*a*2,<=... *a**n* (0<=≀<=*a**i*<=≀<=109) where *a**i* represents the number of boxes on *i*-th pile. It's guaranteed that at least o...
In a single line, print one number, minimum time needed to remove all the boxes in seconds.
[ "2 1\n1 1\n", "3 2\n1 0 2\n", "4 100\n3 4 5 4\n" ]
[ "4\n", "5\n", "5\n" ]
First sample: Student will first move to the first pile (1 second), then remove box from first pile (1 second), then move to the second pile (1 second) and finally remove the box from second pile (1 second). Second sample: One of optimal solutions is to send one student to remove a box from the first pile and a box fr...
[ { "input": "2 1\n1 1", "output": "4" }, { "input": "3 2\n1 0 2", "output": "5" }, { "input": "4 100\n3 4 5 4", "output": "5" }, { "input": "5 8\n121351 0 13513 0 165454", "output": "37544" }, { "input": "6 6\n0 10 0 0 10 0", "output": "8" }, { "input":...
140
13,516,800
0
1,124
1,000
Covered Points Count
[ "data structures", "implementation", "sortings" ]
null
null
You are given $n$ segments on a coordinate line; each endpoint of every segment has integer coordinates. Some segments can degenerate to points. Segments can intersect with each other, be nested in each other or even coincide. Your task is the following: for every $k \in [1..n]$, calculate the number of points with in...
The first line of the input contains one integer $n$ ($1 \le n \le 2 \cdot 10^5$) β€” the number of segments. The next $n$ lines contain segments. The $i$-th line contains a pair of integers $l_i, r_i$ ($0 \le l_i \le r_i \le 10^{18}$) β€” the endpoints of the $i$-th segment.
Print $n$ space separated integers $cnt_1, cnt_2, \dots, cnt_n$, where $cnt_i$ is equal to the number of points such that the number of segments that cover these points equals to $i$.
[ "3\n0 3\n1 3\n3 8\n", "3\n1 3\n2 4\n5 7\n" ]
[ "6 2 1 \n", "5 2 0 \n" ]
The picture describing the first example: <img class="tex-graphics" src="https://espresso.codeforces.com/f76b3fe547bff6be5b14de76c8b78ba3efecc744.png" style="max-width: 100.0%;max-height: 100.0%;"/> Points with coordinates $[0, 4, 5, 6, 7, 8]$ are covered by one segment, points $[1, 2]$ are covered by two segments an...
[ { "input": "3\n0 3\n1 3\n3 8", "output": "6 2 1 " }, { "input": "3\n1 3\n2 4\n5 7", "output": "5 2 0 " }, { "input": "1\n0 1000000000000000000", "output": "1000000000000000001 " } ]
3,000
156,672,000
0
1,126
869
The Artful Expedient
[ "brute force", "implementation" ]
null
null
Rock... Paper! After Karen have found the deterministic winning (losing?) strategy for rock-paper-scissors, her brother, Koyomi, comes up with a new game as a substitute. The game works as follows. A positive integer *n* is decided first. Both Koyomi and Karen independently choose *n* distinct positive integers, deno...
The first line of input contains a positive integer *n* (1<=≀<=*n*<=≀<=2<=000) β€” the length of both sequences. The second line contains *n* space-separated integers *x*1,<=*x*2,<=...,<=*x**n* (1<=≀<=*x**i*<=≀<=2Β·106) β€” the integers finally chosen by Koyomi. The third line contains *n* space-separated integers *y*1,<=...
Output one line β€” the name of the winner, that is, "Koyomi" or "Karen" (without quotes). Please be aware of the capitalization.
[ "3\n1 2 3\n4 5 6\n", "5\n2 4 6 8 10\n9 7 5 3 1\n" ]
[ "Karen\n", "Karen\n" ]
In the first example, there are 6 pairs satisfying the constraint: (1, 1), (1, 2), (2, 1), (2, 3), (3, 2) and (3, 3). Thus, Karen wins since 6 is an even number. In the second example, there are 16 such pairs, and Karen wins again.
[ { "input": "3\n1 2 3\n4 5 6", "output": "Karen" }, { "input": "5\n2 4 6 8 10\n9 7 5 3 1", "output": "Karen" }, { "input": "1\n1\n2000000", "output": "Karen" }, { "input": "2\n97153 2000000\n1999998 254", "output": "Karen" }, { "input": "15\n31 30 29 28 27 26 25 24...
1,000
614,400
0
1,131
766
Mahmoud and a Triangle
[ "constructive algorithms", "geometry", "greedy", "math", "number theory", "sortings" ]
null
null
Mahmoud has *n* line segments, the *i*-th of them has length *a**i*. Ehab challenged him to use exactly 3 line segments to form a non-degenerate triangle. Mahmoud doesn't accept challenges unless he is sure he can win, so he asked you to tell him if he should accept the challenge. Given the lengths of the line segments...
The first line contains single integer *n* (3<=≀<=*n*<=≀<=105)Β β€” the number of line segments Mahmoud has. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≀<=*a**i*<=≀<=109)Β β€” the lengths of line segments Mahmoud has.
In the only line print "YES" if he can choose exactly three line segments and form a non-degenerate triangle with them, and "NO" otherwise.
[ "5\n1 5 3 2 4\n", "3\n4 1 2\n" ]
[ "YES\n", "NO\n" ]
For the first example, he can use line segments with lengths 2, 4 and 5 to form a non-degenerate triangle.
[ { "input": "5\n1 5 3 2 4", "output": "YES" }, { "input": "3\n4 1 2", "output": "NO" }, { "input": "30\n197 75 517 39724 7906061 1153471 3 15166 168284 3019844 272293 316 16 24548 42 118 5792 5 9373 1866366 4886214 24 2206 712886 104005 1363 836 64273 440585 3576", "output": "NO" },...
93
7,884,800
0
1,133
580
Kefa and First Steps
[ "brute force", "dp", "implementation" ]
null
null
Kefa decided to make some money doing business on the Internet for exactly *n* days. He knows that on the *i*-th day (1<=≀<=*i*<=≀<=*n*) he makes *a**i* money. Kefa loves progress, that's why he wants to know the length of the maximum non-decreasing subsegment in sequence *a**i*. Let us remind you that the subsegment o...
The first line contains integer *n* (1<=≀<=*n*<=≀<=105). The second line contains *n* integers *a*1,<=<=*a*2,<=<=...,<=<=*a**n* (1<=≀<=*a**i*<=≀<=109).
Print a single integer β€” the length of the maximum non-decreasing subsegment of sequence *a*.
[ "6\n2 2 1 3 4 1\n", "3\n2 2 9\n" ]
[ "3", "3" ]
In the first test the maximum non-decreasing subsegment is the numbers from the third to the fifth one. In the second test the maximum non-decreasing subsegment is the numbers from the first to the third one.
[ { "input": "6\n2 2 1 3 4 1", "output": "3" }, { "input": "3\n2 2 9", "output": "3" }, { "input": "5\n10 100 111 1 2", "output": "3" }, { "input": "10\n1 2 3 4 1 2 3 4 5 6", "output": "6" }, { "input": "50\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
61
2,764,800
-1
1,136
907
Tic-Tac-Toe
[ "implementation" ]
null
null
Two bears are playing tic-tac-toe via mail. It's boring for them to play usual tic-tac-toe game, so they are a playing modified version of this game. Here are its rules. The game is played on the following field. Players are making moves by turns. At first move a player can put his chip in any cell of any small field...
First 11 lines contains descriptions of table with 9 rows and 9 columns which are divided into 9 small fields by spaces and empty lines. Each small field is described by 9 characters without spaces and empty lines. character "x" (ASCII-code 120) means that the cell is occupied with chip of the first player, character "...
Output the field in same format with characters "!" (ASCII-code 33) on positions where the current player can put his chip. All other cells should not be modified.
[ "... ... ...\n... ... ...\n... ... ...\n\n... ... ...\n... ... ...\n... x.. ...\n\n... ... ...\n... ... ...\n... ... ...\n6 4\n", "xoo x.. x..\nooo ... ...\nooo ... ...\n\nx.. x.. x..\n... ... ...\n... ... ...\n\nx.. x.. x..\n... ... ...\n... ... ...\n7 4\n", "o.. ... ...\n... ... ...\n... ... ...\n\n... xxx .....
[ "... ... ... \n... ... ... \n... ... ... \n\n... ... ... \n... ... ... \n... x.. ... \n\n!!! ... ... \n!!! ... ... \n!!! ... ... \n\n", "xoo x!! x!! \nooo !!! !!! \nooo !!! !!! \n\nx!! x!! x!! \n!!! !!! !!! \n!!! !!! !!! \n\nx!! x!! x!! \n!!! !!! !!! \n!!! !!! !!! \n\n", "o!! !!! !!! \n!!! !!! !!! \n!!! !!! !!!...
In the first test case the first player made a move to lower left cell of central field, so the second player can put a chip only to cells of lower left field. In the second test case the last move was done to upper left cell of lower central field, however all cells in upper left field are occupied, so the second pla...
[ { "input": "... ... ...\n... ... ...\n... ... ...\n\n... ... ...\n... ... ...\n... x.. ...\n\n... ... ...\n... ... ...\n... ... ...\n6 4", "output": "... ... ... \n... ... ... \n... ... ... \n\n... ... ... \n... ... ... \n... x.. ... \n\n!!! ... ... \n!!! ... ... \n!!! ... ... " }, { "input": "xoo x...
62
5,632,000
3
1,138
137
Permutation
[ "greedy" ]
null
null
"Hey, it's homework time" β€” thought Polycarpus and of course he started with his favourite subject, IT. Polycarpus managed to solve all tasks but for the last one in 20 minutes. However, as he failed to solve the last task after some considerable time, the boy asked you to help him. The sequence of *n* integers is cal...
The first line of the input data contains an integer *n* (1<=≀<=*n*<=≀<=5000) which represents how many numbers are in the sequence. The second line contains a sequence of integers *a**i* (1<=≀<=*a**i*<=≀<=5000,<=1<=≀<=*i*<=≀<=*n*).
Print the only number β€” the minimum number of changes needed to get the permutation.
[ "3\n3 1 2\n", "2\n2 2\n", "5\n5 3 3 3 1\n" ]
[ "0\n", "1\n", "2\n" ]
The first sample contains the permutation, which is why no replacements are required. In the second sample it is enough to replace the first element with the number 1 and that will make the sequence the needed permutation. In the third sample we can replace the second element with number 4 and the fourth element with...
[ { "input": "3\n3 1 2", "output": "0" }, { "input": "2\n2 2", "output": "1" }, { "input": "5\n5 3 3 3 1", "output": "2" }, { "input": "5\n6 6 6 6 6", "output": "5" }, { "input": "10\n1 1 2 2 8 8 7 7 9 9", "output": "5" }, { "input": "8\n9 8 7 6 5 4 3 2"...
124
512,000
3
1,140
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...
46
6,963,200
0
1,142
978
Petya's Exams
[ "greedy", "implementation", "sortings" ]
null
null
Petya studies at university. The current academic year finishes with $n$ special days. Petya needs to pass $m$ exams in those special days. The special days in this problem are numbered from $1$ to $n$. There are three values about each exam: - $s_i$ β€” the day, when questions for the $i$-th exam will be published, -...
The first line contains two integers $n$ and $m$ $(2 \le n \le 100, 1 \le m \le n)$ β€” the number of days and the number of exams. Each of the following $m$ lines contains three integers $s_i$, $d_i$, $c_i$ $(1 \le s_i &lt; d_i \le n, 1 \le c_i \le n)$ β€” the day, when questions for the $i$-th exam will be given, the da...
If Petya can not prepare and pass all the exams, print -1. In case of positive answer, print $n$ integers, where the $j$-th number is: - $(m + 1)$, if the $j$-th day is a day of some exam (recall that in each day no more than one exam is conducted), - zero, if in the $j$-th day Petya will have a rest, - $i$ ($1 \le...
[ "5 2\n1 3 1\n1 5 1\n", "3 2\n1 3 1\n1 2 1\n", "10 3\n4 7 2\n1 10 3\n8 9 1\n" ]
[ "1 2 3 0 3 \n", "-1\n", "2 2 2 1 1 0 4 3 4 4 \n" ]
In the first example Petya can, for example, prepare for exam $1$ in the first day, prepare for exam $2$ in the second day, pass exam $1$ in the third day, relax in the fourth day, and pass exam $2$ in the fifth day. So, he can prepare and pass all exams. In the second example, there are three days and two exams. So, ...
[ { "input": "5 2\n1 3 1\n1 5 1", "output": "1 2 3 0 3 " }, { "input": "3 2\n1 3 1\n1 2 1", "output": "-1" }, { "input": "10 3\n4 7 2\n1 10 3\n8 9 1", "output": "2 2 2 1 1 0 4 3 4 4 " }, { "input": "2 1\n1 2 1", "output": "1 2 " }, { "input": "3 1\n1 2 2", "outp...
15
0
0
1,144
713
Sonya and Problem Wihtout a Legend
[ "dp", "sortings" ]
null
null
Sonya was unable to think of a story for this problem, so here comes the formal description. You are given the array containing *n* positive integers. At one turn you can pick any element and increase or decrease it by 1. The goal is the make the array strictly increasing by making the minimum possible number of opera...
The first line of the input contains a single integer *n* (1<=≀<=*n*<=≀<=3000)Β β€” the length of the array. Next line contains *n* integer *a**i* (1<=≀<=*a**i*<=≀<=109).
Print the minimum number of operation required to make the array strictly increasing.
[ "7\n2 1 5 11 5 9 11\n", "5\n5 4 3 2 1\n" ]
[ "9\n", "12\n" ]
In the first sample, the array is going to look as follows: 2 3 5 6 7 9 11 |2 - 2| + |1 - 3| + |5 - 5| + |11 - 6| + |5 - 7| + |9 - 9| + |11 - 11| = 9 And for the second sample: 1 2 3 4 5 |5 - 1| + |4 - 2| + |3 - 3| + |2 - 4| + |1 - 5| = 12
[ { "input": "7\n2 1 5 11 5 9 11", "output": "9" }, { "input": "5\n5 4 3 2 1", "output": "12" }, { "input": "2\n1 1000", "output": "0" }, { "input": "2\n1000 1", "output": "1000" }, { "input": "5\n100 80 60 70 90", "output": "54" }, { "input": "10\n10 16...
249
11,366,400
3
1,146
276
Little Girl and Game
[ "games", "greedy" ]
null
null
The Little Girl loves problems on games very much. Here's one of them. Two players have got a string *s*, consisting of lowercase English letters. They play a game that is described by the following rules: - The players move in turns; In one move the player can remove an arbitrary letter from string *s*. - If the p...
The input contains a single line, containing string *s* (1<=≀<=|*s*|<=<=≀<=<=103). String *s* consists of lowercase English letters.
In a single line print word "First" if the first player wins (provided that both players play optimally well). Otherwise, print word "Second". Print the words without the quotes.
[ "aba\n", "abca\n" ]
[ "First\n", "Second\n" ]
none
[ { "input": "aba", "output": "First" }, { "input": "abca", "output": "Second" }, { "input": "aabb", "output": "First" }, { "input": "ctjxzuimsxnarlciuynqeoqmmbqtagszuo", "output": "Second" }, { "input": "gevqgtaorjixsxnbcoybr", "output": "First" }, { "i...
62
0
0
1,147