contestId int64 0 1.01k | name stringlengths 2 58 | tags listlengths 0 11 | title stringclasses 523
values | time-limit stringclasses 8
values | memory-limit stringclasses 8
values | problem-description stringlengths 0 7.15k | input-specification stringlengths 0 2.05k | output-specification stringlengths 0 1.5k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | test_cases listlengths 0 402 | timeConsumedMillis int64 0 8k | memoryConsumedBytes int64 0 537M | score float64 -1 3.99 | __index_level_0__ int64 0 621k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
814 | An express train to reveries | [
"constructive algorithms"
] | null | null | Sengoku still remembers the mysterious "colourful meteoroids" she discovered with Lala-chan when they were little. In particular, one of the nights impressed her deeply, giving her the illusion that all her fancies would be realized.
On that night, Sengoku constructed a permutation *p*1,<=*p*2,<=...,<=*p**n* of integers from 1 to *n* inclusive, with each integer representing a colour, wishing for the colours to see in the coming meteor outburst. Two incredible outbursts then arrived, each with *n* meteorids, colours of which being integer sequences *a*1,<=*a*2,<=...,<=*a**n* and *b*1,<=*b*2,<=...,<=*b**n* respectively. Meteoroids' colours were also between 1 and *n* inclusive, and the two sequences were not identical, that is, at least one *i* (1<=β€<=*i*<=β€<=*n*) exists, such that *a**i*<=β <=*b**i* holds.
Well, she almost had it all β each of the sequences *a* and *b* matched exactly *n*<=-<=1 elements in Sengoku's permutation. In other words, there is exactly one *i* (1<=β€<=*i*<=β€<=*n*) such that *a**i*<=β <=*p**i*, and exactly one *j* (1<=β€<=*j*<=β€<=*n*) such that *b**j*<=β <=*p**j*.
For now, Sengoku is able to recover the actual colour sequences *a* and *b* through astronomical records, but her wishes have been long forgotten. You are to reconstruct any possible permutation Sengoku could have had on that night. | The first line of input contains a positive integer *n* (2<=β€<=*n*<=β€<=1<=000) β the length of Sengoku's permutation, being the length of both meteor outbursts at the same time.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=*n*) β the sequence of colours in the first meteor outburst.
The third line contains *n* space-separated integers *b*1,<=*b*2,<=...,<=*b**n* (1<=β€<=*b**i*<=β€<=*n*) β the sequence of colours in the second meteor outburst. At least one *i* (1<=β€<=*i*<=β€<=*n*) exists, such that *a**i*<=β <=*b**i* holds. | Output *n* space-separated integers *p*1,<=*p*2,<=...,<=*p**n*, denoting a possible permutation Sengoku could have had. If there are more than one possible answer, output any one of them.
Input guarantees that such permutation exists. | [
"5\n1 2 3 4 3\n1 2 5 4 5\n",
"5\n4 4 2 3 1\n5 4 5 3 1\n",
"4\n1 1 3 4\n1 4 3 4\n"
] | [
"1 2 5 4 3\n",
"5 4 2 3 1\n",
"1 2 3 4\n"
] | In the first sample, both 1,β2,β5,β4,β3 and 1,β2,β3,β4,β5 are acceptable outputs.
In the second sample, 5,β4,β2,β3,β1 is the only permutation to satisfy the constraints. | [
{
"input": "5\n1 2 3 4 3\n1 2 5 4 5",
"output": "1 2 5 4 3"
},
{
"input": "5\n4 4 2 3 1\n5 4 5 3 1",
"output": "5 4 2 3 1"
},
{
"input": "4\n1 1 3 4\n1 4 3 4",
"output": "1 2 3 4"
},
{
"input": "10\n1 2 3 4 7 6 7 8 9 10\n1 2 3 4 5 6 5 8 9 10",
"output": "1 2 3 4 5 6 7 8 9... | 93 | 0 | 0 | 538 | |
447 | DZY Loves Strings | [
"greedy",
"implementation"
] | null | null | DZY loves collecting special strings which only contain lowercase letters. For each lowercase letter *c* DZY knows its value *w**c*. For each special string *s*<==<=*s*1*s*2... *s*|*s*| (|*s*| is the length of the string) he represents its value with a function *f*(*s*), where
Now DZY has a string *s*. He wants to insert *k* lowercase letters into this string in order to get the largest possible value of the resulting string. Can you help him calculate the largest possible value he could get? | The first line contains a single string *s*Β (1<=β€<=|*s*|<=β€<=103).
The second line contains a single integer *k*Β (0<=β€<=*k*<=β€<=103).
The third line contains twenty-six integers from *w**a* to *w**z*. Each such number is non-negative and doesn't exceed 1000. | Print a single integer β the largest possible value of the resulting string DZY could get. | [
"abc\n3\n1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n"
] | [
"41\n"
] | In the test sample DZY can obtain "abcbbc", *value*β=β1Β·1β+β2Β·2β+β3Β·2β+β4Β·2β+β5Β·2β+β6Β·2β=β41. | [
{
"input": "abc\n3\n1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1",
"output": "41"
},
{
"input": "mmzhr\n3\n443 497 867 471 195 670 453 413 579 466 553 881 847 642 269 996 666 702 487 209 257 741 974 133 519 453",
"output": "29978"
},
{
"input": "ajeeseerqnpaujubmajpibxrccazaawetyw... | 124 | 307,200 | 3 | 539 | |
913 | Modular Exponentiation | [
"implementation",
"math"
] | null | null | The following problem is well-known: given integers *n* and *m*, calculate
where 2*n*<==<=2Β·2Β·...Β·2 (*n* factors), and denotes the remainder of division of *x* by *y*.
You are asked to solve the "reverse" problem. Given integers *n* and *m*, calculate | The first line contains a single integer *n* (1<=β€<=*n*<=β€<=108).
The second line contains a single integer *m* (1<=β€<=*m*<=β€<=108). | Output a single integerΒ β the value of . | [
"4\n42\n",
"1\n58\n",
"98765432\n23456789\n"
] | [
"10\n",
"0\n",
"23456789\n"
] | In the first example, the remainder of division of 42 by 2<sup class="upper-index">4</sup>β=β16 is equal to 10.
In the second example, 58 is divisible by 2<sup class="upper-index">1</sup>β=β2 without remainder, and the answer is 0. | [
{
"input": "4\n42",
"output": "10"
},
{
"input": "1\n58",
"output": "0"
},
{
"input": "98765432\n23456789",
"output": "23456789"
},
{
"input": "8\n88127381",
"output": "149"
},
{
"input": "32\n92831989",
"output": "92831989"
},
{
"input": "92831989\n25... | 561 | 46,796,800 | 3 | 541 | |
948 | Protect Sheep | [
"brute force",
"dfs and similar",
"graphs",
"implementation"
] | null | null | Bob is a farmer. He has a large pasture with many sheep. Recently, he has lost some of them due to wolf attacks. He thus decided to place some shepherd dogs in such a way that all his sheep are protected.
The pasture is a rectangle consisting of *R*<=Γ<=*C* cells. Each cell is either empty, contains a sheep, a wolf or a dog. Sheep and dogs always stay in place, but wolves can roam freely around the pasture, by repeatedly moving to the left, right, up or down to a neighboring cell. When a wolf enters a cell with a sheep, it consumes it. However, no wolf can enter a cell with a dog.
Initially there are no dogs. Place dogs onto the pasture in such a way that no wolf can reach any sheep, or determine that it is impossible. Note that since you have many dogs, you do not need to minimize their number. | First line contains two integers *R* (1<=β€<=*R*<=β€<=500) and *C* (1<=β€<=*C*<=β€<=500), denoting the number of rows and the numbers of columns respectively.
Each of the following *R* lines is a string consisting of exactly *C* characters, representing one row of the pasture. Here, 'S' means a sheep, 'W' a wolf and '.' an empty cell. | If it is impossible to protect all sheep, output a single line with the word "No".
Otherwise, output a line with the word "Yes". Then print *R* lines, representing the pasture after placing dogs. Again, 'S' means a sheep, 'W' a wolf, 'D' is a dog and '.' an empty space. You are not allowed to move, remove or add a sheep or a wolf.
If there are multiple solutions, you may print any of them. You don't have to minimize the number of dogs. | [
"6 6\n..S...\n..S.W.\n.S....\n..W...\n...W..\n......\n",
"1 2\nSW\n",
"5 5\n.S...\n...S.\nS....\n...S.\n.S...\n"
] | [
"Yes\n..SD..\n..SDW.\n.SD...\n.DW...\nDD.W..\n......\n",
"No\n",
"Yes\n.S...\n...S.\nS.D..\n...S.\n.S...\n"
] | In the first example, we can split the pasture into two halves, one containing wolves and one containing sheep. Note that the sheep at (2,1) is safe, as wolves cannot move diagonally.
In the second example, there are no empty spots to put dogs that would guard the lone sheep.
In the third example, there are no wolves, so the task is very easy. We put a dog in the center to observe the peacefulness of the meadow, but the solution would be correct even without him. | [
{
"input": "1 2\nSW",
"output": "No"
},
{
"input": "10 10\n....W.W.W.\n.........S\n.S.S...S..\nW.......SS\n.W..W.....\n.W...W....\nS..S...S.S\n....W...S.\n..S..S.S.S\nSS.......S",
"output": "Yes\nDDDDWDWDWD\nDDDDDDDDDS\nDSDSDDDSDD\nWDDDDDDDSS\nDWDDWDDDDD\nDWDDDWDDDD\nSDDSDDDSDS\nDDDDWDDDSD\nDDSD... | 31 | 0 | 0 | 542 | |
808 | Tea Party | [
"constructive algorithms",
"greedy",
"sortings"
] | null | null | Polycarp invited all his friends to the tea party to celebrate the holiday. He has *n* cups, one for each of his *n* friends, with volumes *a*1,<=*a*2,<=...,<=*a**n*. His teapot stores *w* milliliters of tea (*w*<=β€<=*a*1<=+<=*a*2<=+<=...<=+<=*a**n*). Polycarp wants to pour tea in cups in such a way that:
- Every cup will contain tea for at least half of its volume - Every cup will contain integer number of milliliters of tea - All the tea from the teapot will be poured into cups - All friends will be satisfied.
Friend with cup *i* won't be satisfied, if there exists such cup *j* that cup *i* contains less tea than cup *j* but *a**i*<=><=*a**j*.
For each cup output how many milliliters of tea should be poured in it. If it's impossible to pour all the tea and satisfy all conditions then output -1. | The first line contains two integer numbers *n* and *w* (1<=β€<=*n*<=β€<=100, ).
The second line contains *n* numbers *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=100). | Output how many milliliters of tea every cup should contain. If there are multiple answers, print any of them.
If it's impossible to pour all the tea and satisfy all conditions then output -1. | [
"2 10\n8 7\n",
"4 4\n1 1 1 1\n",
"3 10\n9 8 10\n"
] | [
"6 4 \n",
"1 1 1 1 \n",
"-1\n"
] | In the third example you should pour to the first cup at least 5 milliliters, to the second one at least 4, to the third one at least 5. It sums up to 14, which is greater than 10 milliliters available. | [
{
"input": "2 10\n8 7",
"output": "6 4 "
},
{
"input": "4 4\n1 1 1 1",
"output": "1 1 1 1 "
},
{
"input": "3 10\n9 8 10",
"output": "-1"
},
{
"input": "1 1\n1",
"output": "1 "
},
{
"input": "1 1\n2",
"output": "1 "
},
{
"input": "1 10\n20",
"output... | 61 | 0 | 0 | 543 | |
483 | Counterexample | [
"brute force",
"implementation",
"math",
"number theory"
] | null | null | Your friend has recently learned about coprime numbers. A pair of numbers {*a*,<=*b*} is called coprime if the maximum number that divides both *a* and *b* is equal to one.
Your friend often comes up with different statements. He has recently supposed that if the pair (*a*,<=*b*) is coprime and the pair (*b*,<=*c*) is coprime, then the pair (*a*,<=*c*) is coprime.
You want to find a counterexample for your friend's statement. Therefore, your task is to find three distinct numbers (*a*,<=*b*,<=*c*), for which the statement is false, and the numbers meet the condition *l*<=β€<=*a*<=<<=*b*<=<<=*c*<=β€<=*r*.
More specifically, you need to find three numbers (*a*,<=*b*,<=*c*), such that *l*<=β€<=*a*<=<<=*b*<=<<=*c*<=β€<=*r*, pairs (*a*,<=*b*) and (*b*,<=*c*) are coprime, and pair (*a*,<=*c*) is not coprime. | The single line contains two positive space-separated integers *l*, *r* (1<=β€<=*l*<=β€<=*r*<=β€<=1018; *r*<=-<=*l*<=β€<=50). | Print three positive space-separated integers *a*, *b*, *c*Β β three distinct numbers (*a*,<=*b*,<=*c*) that form the counterexample. If there are several solutions, you are allowed to print any of them. The numbers must be printed in ascending order.
If the counterexample does not exist, print the single number -1. | [
"2 4\n",
"10 11\n",
"900000000000000009 900000000000000029\n"
] | [
"2 3 4\n",
"-1\n",
"900000000000000009 900000000000000010 900000000000000021\n"
] | In the first sample pair (2,β4) is not coprime and pairs (2,β3) and (3,β4) are.
In the second sample you cannot form a group of three distinct integers, so the answer is -1.
In the third sample it is easy to see that numbers 900000000000000009 and 900000000000000021 are divisible by three. | [
{
"input": "2 4",
"output": "2 3 4"
},
{
"input": "10 11",
"output": "-1"
},
{
"input": "900000000000000009 900000000000000029",
"output": "900000000000000009 900000000000000010 900000000000000021"
},
{
"input": "640097987171091791 640097987171091835",
"output": "64009798... | 31 | 0 | 0 | 545 | |
955 | Not simply beatiful strings | [
"implementation"
] | null | null | Let's call a string adorable if its letters can be realigned in such a way that they form two consequent groups of equal symbols (note that different groups must contain different symbols). For example, ababa is adorable (you can transform it to aaabb, where the first three letters form a group of *a*-s and others β a group of *b*-s), but cccc is not since in each possible consequent partition letters in these two groups coincide.
You're given a string *s*. Check whether it can be split into two non-empty subsequences such that the strings formed by these subsequences are adorable. Here a subsequence is an arbitrary set of indexes of the string. | The only line contains *s* (1<=β€<=|*s*|<=β€<=105) consisting of lowercase latin letters. | Print Β«YesΒ» if the string can be split according to the criteria above or Β«NoΒ» otherwise.
Each letter can be printed in arbitrary case. | [
"ababa\n",
"zzcxx\n",
"yeee\n"
] | [
"Yes\n",
"Yes\n",
"No\n"
] | In sample case two zzcxx can be split into subsequences zc and zxx each of which is adorable.
There's no suitable partition in sample case three. | [
{
"input": "ababa",
"output": "Yes"
},
{
"input": "zzcxx",
"output": "Yes"
},
{
"input": "yeee",
"output": "No"
},
{
"input": "a",
"output": "No"
},
{
"input": "bbab",
"output": "No"
},
{
"input": "abcd",
"output": "Yes"
},
{
"input": "abc"... | 155 | 4,198,400 | 0 | 547 | |
417 | Elimination | [
"dp",
"implementation",
"math"
] | null | null | The finalists of the "Russian Code Cup" competition in 2214 will be the participants who win in one of the elimination rounds.
The elimination rounds are divided into main and additional. Each of the main elimination rounds consists of *c* problems, the winners of the round are the first *n* people in the rating list. Each of the additional elimination rounds consists of *d* problems. The winner of the additional round is one person. Besides, *k* winners of the past finals are invited to the finals without elimination.
As a result of all elimination rounds at least *n*Β·*m* people should go to the finals. You need to organize elimination rounds in such a way, that at least *n*Β·*m* people go to the finals, and the total amount of used problems in all rounds is as small as possible. | The first line contains two integers *c* and *d* (1<=β€<=*c*,<=*d*<=β€<=100)Β β the number of problems in the main and additional rounds, correspondingly. The second line contains two integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=100). Finally, the third line contains an integer *k* (1<=β€<=*k*<=β€<=100)Β β the number of the pre-chosen winners. | In the first line, print a single integer β the minimum number of problems the jury needs to prepare. | [
"1 10\n7 2\n1\n",
"2 2\n2 1\n2\n"
] | [
"2\n",
"0\n"
] | none | [
{
"input": "1 10\n7 2\n1",
"output": "2"
},
{
"input": "2 2\n2 1\n2",
"output": "0"
},
{
"input": "8 9\n2 2\n3",
"output": "8"
},
{
"input": "5 5\n8 8\n7",
"output": "40"
},
{
"input": "1 8\n8 10\n8",
"output": "9"
},
{
"input": "5 7\n9 1\n8",
"out... | 93 | 0 | 0 | 549 | |
118 | String Task | [
"implementation",
"strings"
] | null | null | Petya started to attend programming lessons. On the first lesson his task was to write a simple program. The program was supposed to do the following: in the given string, consisting if uppercase and lowercase Latin letters, it:
- deletes all the vowels, - inserts a character "." before each consonant, - replaces all uppercase consonants with corresponding lowercase ones.
Vowels are letters "A", "O", "Y", "E", "U", "I", and the rest are consonants. The program's input is exactly one string, it should return the output as a single string, resulting after the program's processing the initial string.
Help Petya cope with this easy task. | The first line represents input string of Petya's program. This string only consists of uppercase and lowercase Latin letters and its length is from 1 to 100, inclusive. | Print the resulting string. It is guaranteed that this string is not empty. | [
"tour\n",
"Codeforces\n",
"aBAcAba\n"
] | [
".t.r\n",
".c.d.f.r.c.s\n",
".b.c.b\n"
] | none | [
{
"input": "tour",
"output": ".t.r"
},
{
"input": "Codeforces",
"output": ".c.d.f.r.c.s"
},
{
"input": "aBAcAba",
"output": ".b.c.b"
},
{
"input": "obn",
"output": ".b.n"
},
{
"input": "wpwl",
"output": ".w.p.w.l"
},
{
"input": "ggdvq",
"output": "... | 92 | 0 | 3 | 550 | |
0 | none | [
"none"
] | null | null | You are given a string *s*, consisting of small Latin letters. Let's denote the length of the string as |*s*|. The characters in the string are numbered starting from 1.
Your task is to find out if it is possible to rearrange characters in string *s* so that for any prime number *p*<=β€<=|*s*| and for any integer *i* ranging from 1 to |*s*|<=/<=*p* (inclusive) the following condition was fulfilled *s**p*<==<=*s**p*<=Γ<=*i*. If the answer is positive, find one way to rearrange the characters. | The only line contains the initial string *s*, consisting of small Latin letters (1<=β€<=|*s*|<=β€<=1000). | If it is possible to rearrange the characters in the string so that the above-mentioned conditions were fulfilled, then print in the first line "YES" (without the quotes) and print on the second line one of the possible resulting strings. If such permutation is impossible to perform, then print the single string "NO". | [
"abc\n",
"abcd\n",
"xxxyxxx\n"
] | [
"YES\nabc\n",
"NO\n",
"YES\nxxxxxxy\n"
] | In the first sample any of the six possible strings will do: "abc", "acb", "bac", "bca", "cab" or "cba".
In the second sample no letter permutation will satisfy the condition at *p*β=β2 (*s*<sub class="lower-index">2</sub>β=β*s*<sub class="lower-index">4</sub>).
In the third test any string where character "y" doesn't occupy positions 2, 3, 4, 6 will be valid. | [
{
"input": "abc",
"output": "YES\nabc"
},
{
"input": "abcd",
"output": "NO"
},
{
"input": "xxxyxxx",
"output": "YES\nxxxxxxy"
},
{
"input": "xxxjddyxduquybxdxx",
"output": "NO"
},
{
"input": "jjjjjjjjjjzjjjjjjjjjjjjjjjj",
"output": "YES\njjjjjjjjjjjjjjjjjjjjjj... | 30 | 0 | -1 | 551 | |
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 and user-inattention related issues, it is prohibited to register a login if it is similar with an already existing login. More precisely, two logins *s* and *t* are considered similar if we can transform *s* to *t* via a sequence of operations of the following types:
- transform lowercase letters to uppercase and vice versa; - change letter Β«OΒ» (uppercase latin letter) to digit Β«0Β» and vice versa; - change digit Β«1Β» (one) to any letter among Β«lΒ» (lowercase latin Β«LΒ»), Β«IΒ» (uppercase latin Β«iΒ») and vice versa, or change one of these letters to other.
For example, logins Β«CodeforcesΒ» and Β«codef0rcesΒ» as well as Β«OO0OOO00O0OOO0O00OOO0OO_lolΒ» and Β«OO0OOO0O00OOO0O00OO0OOO_1oIΒ» are considered similar whereas Β«CodeforcesΒ» and Β«Code_forcesΒ» are not.
You're given a list of existing logins with no two similar amonst and a newly created user login. Check whether this new login is similar with any of the existing ones. | The first line contains a non-empty string *s* consisting of lower and uppercase latin letters, digits and underline symbols (Β«_Β») with length not exceeding 50 Β β the login itself.
The second line contains a single integer *n* (1<=β€<=*n*<=β€<=1<=000)Β β the number of existing logins.
The next *n* lines describe the existing logins, following the same constraints as the user login (refer to the first line of the input). It's guaranteed that no two existing logins are similar. | Print 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"
}... | 77 | 5,632,000 | 3 | 553 | |
846 | Chemistry in Berland | [
"dfs and similar",
"greedy",
"trees"
] | null | null | Igor is a post-graduate student of chemistry faculty in Berland State University (BerSU). He needs to conduct a complicated experiment to write his thesis, but laboratory of BerSU doesn't contain all the materials required for this experiment.
Fortunately, chemical laws allow material transformations (yes, chemistry in Berland differs from ours). But the rules of transformation are a bit strange.
Berland chemists are aware of *n* materials, numbered in the order they were discovered. Each material can be transformed into some other material (or vice versa). Formally, for each *i* (2<=β€<=*i*<=β€<=*n*) there exist two numbers *x**i* and *k**i* that denote a possible transformation: *k**i* kilograms of material *x**i* can be transformed into 1 kilogram of material *i*, and 1 kilogram of material *i* can be transformed into 1 kilogram of material *x**i*. Chemical processing equipment in BerSU allows only such transformation that the amount of resulting material is always an integer number of kilograms.
For each *i* (1<=β€<=*i*<=β€<=*n*) Igor knows that the experiment requires *a**i* kilograms of material *i*, and the laboratory contains *b**i* kilograms of this material. Is it possible to conduct an experiment after transforming some materials (or none)? | The first line contains one integer number *n* (1<=β€<=*n*<=β€<=105) β the number of materials discovered by Berland chemists.
The second line contains *n* integer numbers *b*1,<=*b*2... *b**n* (1<=β€<=*b**i*<=β€<=1012) β supplies of BerSU laboratory.
The third line contains *n* integer numbers *a*1,<=*a*2... *a**n* (1<=β€<=*a**i*<=β€<=1012) β the amounts required for the experiment.
Then *n*<=-<=1 lines follow. *j*-th of them contains two numbers *x**j*<=+<=1 and *k**j*<=+<=1 that denote transformation of (*j*<=+<=1)-th material (1<=β€<=*x**j*<=+<=1<=β€<=*j*,<=1<=β€<=*k**j*<=+<=1<=β€<=109). | Print YES if it is possible to conduct an experiment. Otherwise print NO. | [
"3\n1 2 3\n3 2 1\n1 1\n1 1\n",
"3\n3 2 1\n1 2 3\n1 1\n1 2\n"
] | [
"YES\n",
"NO\n"
] | none | [
{
"input": "3\n1 2 3\n3 2 1\n1 1\n1 1",
"output": "YES"
},
{
"input": "3\n3 2 1\n1 2 3\n1 1\n1 2",
"output": "NO"
},
{
"input": "5\n2 1 1 2 3\n1 2 2 2 1\n1 2\n1 3\n2 4\n1 4",
"output": "NO"
},
{
"input": "10\n2 8 6 1 2 7 6 9 2 8\n4 9 4 3 5 2 9 3 7 3\n1 8\n2 8\n3 8\n4 10\n5 1\... | 1,279 | 268,390,400 | 0 | 558 | |
950 | Left-handers, Right-handers and Ambidexters | [
"implementation",
"math"
] | null | null | You are at a water bowling training. There are *l* people who play with their left hand, *r* people, who play with their right hand, and *a* ambidexters, who can play with left or right hand.
The coach decided to form a team of even number of players, exactly half of the players should play with their right hand, and exactly half of the players should play with their left hand. One player should use only on of his hands.
Ambidexters play as well with their right hand as with their left hand. In the team, an ambidexter can play with their left hand, or with their right hand.
Please find the maximum possible size of the team, where equal number of players use their left and right hands, respectively. | The only line contains three integers *l*, *r* and *a* (0<=β€<=*l*,<=*r*,<=*a*<=β€<=100) β the number of left-handers, the number of right-handers and the number of ambidexters at the training. | Print a single even integerΒ β the maximum number of players in the team. It is possible that the team can only have zero number of players. | [
"1 4 2\n",
"5 5 5\n",
"0 2 0\n"
] | [
"6\n",
"14\n",
"0\n"
] | In the first example you can form a team of 6 players. You should take the only left-hander and two ambidexters to play with left hand, and three right-handers to play with right hand. The only person left can't be taken into the team.
In the second example you can form a team of 14 people. You have to take all five left-handers, all five right-handers, two ambidexters to play with left hand and two ambidexters to play with right hand. | [
{
"input": "1 4 2",
"output": "6"
},
{
"input": "5 5 5",
"output": "14"
},
{
"input": "0 2 0",
"output": "0"
},
{
"input": "30 70 34",
"output": "128"
},
{
"input": "89 32 24",
"output": "112"
},
{
"input": "89 44 77",
"output": "210"
},
{
... | 78 | 0 | -1 | 559 | |
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 integers (*a*,<=*b*) (0<=β€<=*a*,<=*b*) which satisfy the system. | A single line contains two integers *n*,<=*m* (1<=β€<=*n*,<=*m*<=β€<=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,β0). In the second sample the suitable pair is integers (3,β5). 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"... | 186 | 0 | 0 | 561 | |
679 | Bear and Prime 100 | [
"constructive algorithms",
"interactive",
"math"
] | null | null | This is an interactive problem. In the output section below you will see the information about flushing the output.
Bear Limak thinks of some hidden numberΒ β an integer from interval [2,<=100]. Your task is to say if the hidden number is prime or composite.
Integer *x*<=><=1 is called prime if it has exactly two distinct divisors, 1 and *x*. If integer *x*<=><=1 is not prime, it's called composite.
You can ask up to 20 queries about divisors of the hidden number. In each query you should print an integer from interval [2,<=100]. The system will answer "yes" if your integer is a divisor of the hidden number. Otherwise, the answer will be "no".
For example, if the hidden number is 14 then the system will answer "yes" only if you print 2, 7 or 14.
When you are done asking queries, print "prime" or "composite" and terminate your program.
You will get the Wrong Answer verdict if you ask more than 20 queries, or if you print an integer not from the range [2,<=100]. Also, you will get the Wrong Answer verdict if the printed answer isn't correct.
You will get the Idleness Limit Exceeded verdict if you don't print anything (but you should) or if you forget about flushing the output (more info below). | After each query you should read one string from the input. It will be "yes" if the printed integer is a divisor of the hidden number, and "no" otherwise. | Up to 20 times you can ask a queryΒ β print an integer from interval [2,<=100] in one line. You have to both print the end-of-line character and flush the output. After flushing you should read a response from the input.
In any moment you can print the answer "prime" or "composite" (without the quotes). After that, flush the output and terminate your program.
To flush you can use (just after printing an integer and end-of-line):
- fflush(stdout) in C++; - System.out.flush() in Java; - stdout.flush() in Python; - flush(output) in Pascal; - See the documentation for other languages.
Hacking. To hack someone, as the input you should print the hidden numberΒ β one integer from the interval [2,<=100]. Of course, his/her solution won't be able to read the hidden number from the input. | [
"yes\nno\nyes\n",
"no\nyes\nno\nno\nno\n"
] | [
"2\n80\n5\ncomposite\n",
"58\n59\n78\n78\n2\nprime\n"
] | The hidden number in the first query is 30. In a table below you can see a better form of the provided example of the communication process.
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/ea790051c34ea7d2761cd9b096412ca7c647a173.png" style="max-width: 100.0%;max-height: 100.0%;"/>
The hidden number is divisible by both 2 and 5. Thus, it must be composite. Note that it isn't necessary to know the exact value of the hidden number. In this test, the hidden number is 30.
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/35c6952617fa94ec3e0ea8e63aa1c3c49b3ba420.png" style="max-width: 100.0%;max-height: 100.0%;"/>
59 is a divisor of the hidden number. In the interval [2,β100] there is only one number with this divisor. The hidden number must be 59, which is prime. Note that the answer is known even after the second query and you could print it then and terminate. Though, it isn't forbidden to ask unnecessary queries (unless you exceed the limit of 20 queries). | [
{
"input": "30",
"output": "composite 4"
},
{
"input": "59",
"output": "prime 15"
},
{
"input": "2",
"output": "prime 16"
},
{
"input": "7",
"output": "prime 16"
},
{
"input": "9",
"output": "composite 3"
},
{
"input": "13",
"output": "prime 15"
... | 15 | 0 | 0 | 562 | |
373 | Collecting Beats is Fun | [
"implementation"
] | null | null | Cucumber boy is fan of Kyubeat, a famous music game.
Kyubeat has 16 panels for playing arranged in 4<=Γ<=4 table. When a panel lights up, he has to press that panel.
Each panel has a timing to press (the preffered time when a player should press it), and Cucumber boy is able to press at most *k* panels in a time with his one hand. Cucumber boy is trying to press all panels in perfect timing, that is he wants to press each panel exactly in its preffered time. If he cannot press the panels with his two hands in perfect timing, his challenge to press all the panels in perfect timing will fail.
You are given one scene of Kyubeat's panel from the music Cucumber boy is trying. Tell him is he able to press all the panels in perfect timing. | The first line contains a single integer *k* (1<=β€<=*k*<=β€<=5) β the number of panels Cucumber boy can press with his one hand.
Next 4 lines contain 4 characters each (digits from 1 to 9, or period) β table of panels. If a digit *i* was written on the panel, it means the boy has to press that panel in time *i*. If period was written on the panel, he doesn't have to press that panel. | Output "YES" (without quotes), if he is able to press all the panels in perfect timing. If not, output "NO" (without quotes). | [
"1\n.135\n1247\n3468\n5789\n",
"5\n..1.\n1111\n..1.\n..1.\n",
"1\n....\n12.1\n.2..\n.2..\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | In the third sample boy cannot press all panels in perfect timing. He can press all the panels in timing in time 1, but he cannot press the panels in time 2 in timing with his two hands. | [
{
"input": "1\n.135\n1247\n3468\n5789",
"output": "YES"
},
{
"input": "5\n..1.\n1111\n..1.\n..1.",
"output": "YES"
},
{
"input": "1\n....\n12.1\n.2..\n.2..",
"output": "NO"
},
{
"input": "1\n6981\n.527\n4163\n2345",
"output": "YES"
},
{
"input": "5\n9999\n9999\n99... | 109 | 0 | 3 | 564 | |
894 | QAQ | [
"brute force",
"dp"
] | null | null | "QAQ" is a word to denote an expression of crying. Imagine "Q" as eyes with tears and "A" as a mouth.
Now Diamond has given Bort a string consisting of only uppercase English letters of length *n*. There is a great number of "QAQ" in the string (Diamond is so cute!).
Bort wants to know how many subsequences "QAQ" are in the string Diamond has given. Note that the letters "QAQ" don't have to be consecutive, but the order of letters should be exact. | The only line contains a string of length *n* (1<=β€<=*n*<=β€<=100). It's guaranteed that the string only contains uppercase English letters. | Print a single integerΒ β the number of subsequences "QAQ" in the string. | [
"QAQAQYSYIOIWIN\n",
"QAQQQZZYNOIWIN\n"
] | [
"4\n",
"3\n"
] | In the first example there are 4 subsequences "QAQ": "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN", "QAQAQYSYIOIWIN". | [
{
"input": "QAQAQYSYIOIWIN",
"output": "4"
},
{
"input": "QAQQQZZYNOIWIN",
"output": "3"
},
{
"input": "QA",
"output": "0"
},
{
"input": "IAQVAQZLQBQVQFTQQQADAQJA",
"output": "24"
},
{
"input": "QQAAQASGAYAAAAKAKAQIQEAQAIAAIAQQQQQ",
"output": "378"
},
{
... | 0 | 0 | -1 | 567 | |
626 | Jerry's Protest | [
"brute force",
"combinatorics",
"dp",
"probabilities"
] | null | null | Andrew and Jerry are playing a game with Harry as the scorekeeper. The game consists of three rounds. In each round, Andrew and Jerry draw randomly without replacement from a jar containing *n* balls, each labeled with a distinct positive integer. Without looking, they hand their balls to Harry, who awards the point to the player with the larger number and returns the balls to the jar. The winner of the game is the one who wins at least two of the three rounds.
Andrew wins rounds 1 and 2 while Jerry wins round 3, so Andrew wins the game. However, Jerry is unhappy with this system, claiming that he will often lose the match despite having the higher overall total. What is the probability that the sum of the three balls Jerry drew is strictly higher than the sum of the three balls Andrew drew? | The first line of input contains a single integer *n* (2<=β€<=*n*<=β€<=2000) β the number of balls in the jar.
The second line contains *n* integers *a**i* (1<=β€<=*a**i*<=β€<=5000) β the number written on the *i*th ball. It is guaranteed that no two balls have the same number. | Print a single real value β the probability that Jerry has a higher total, given that Andrew wins the first two rounds and Jerry wins the third. Your answer will be considered correct if its absolute or relative error does not exceed 10<=-<=6.
Namely: let's assume that your answer is *a*, and the answer of the jury is *b*. The checker program will consider your answer correct, if . | [
"2\n1 2\n",
"3\n1 2 10\n"
] | [
"0.0000000000\n",
"0.0740740741\n"
] | In the first case, there are only two balls. In the first two rounds, Andrew must have drawn the 2 and Jerry must have drawn the 1, and vice versa in the final round. Thus, Andrew's sum is 5 and Jerry's sum is 4, so Jerry never has a higher total.
In the second case, each game could've had three outcomes β 10β-β2, 10β-β1, or 2β-β1. Jerry has a higher total if and only if Andrew won 2β-β1 in both of the first two rounds, and Jerry drew the 10 in the last round. This has probability <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3c0ec296285f607c66d594132fb91e5e5f2bb007.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | [
{
"input": "2\n1 2",
"output": "0.0000000000"
},
{
"input": "3\n1 2 10",
"output": "0.0740740741"
},
{
"input": "3\n1 2 3",
"output": "0.0000000000"
},
{
"input": "4\n2 4 1 3",
"output": "0.0416666667"
},
{
"input": "11\n1 2 4 8 16 32 64 128 256 512 1024",
"ou... | 2,000 | 0 | 0 | 568 | |
965 | Paper Airplanes | [
"math"
] | null | null | To make a paper airplane, one has to use a rectangular piece of paper. From a sheet of standard size you can make $s$ airplanes.
A group of $k$ people decided to make $n$ airplanes each. They are going to buy several packs of paper, each of them containing $p$ sheets, and then distribute the sheets between the people. Each person should have enough sheets to make $n$ airplanes. How many packs should they buy? | The only line contains four integers $k$, $n$, $s$, $p$ ($1 \le k, n, s, p \le 10^4$)Β β the number of people, the number of airplanes each should make, the number of airplanes that can be made using one sheet and the number of sheets in one pack, respectively. | Print a single integerΒ β the minimum number of packs they should buy. | [
"5 3 2 3\n",
"5 3 100 1\n"
] | [
"4\n",
"5\n"
] | In the first sample they have to buy $4$ packs of paper: there will be $12$ sheets in total, and giving $2$ sheets to each person is enough to suit everyone's needs.
In the second sample they have to buy a pack for each person as they can't share sheets. | [
{
"input": "5 3 2 3",
"output": "4"
},
{
"input": "5 3 100 1",
"output": "5"
},
{
"input": "10000 10000 1 1",
"output": "100000000"
},
{
"input": "1 1 10000 10000",
"output": "1"
},
{
"input": "300 300 21 23",
"output": "196"
},
{
"input": "300 2 37 51... | 124 | 0 | 0 | 569 | |
556 | Case of the Zeros and Ones | [
"greedy"
] | null | null | Andrewid the Android is a galaxy-famous detective. In his free time he likes to think about strings containing zeros and ones.
Once he thought about a string of length *n* consisting of zeroes and ones. Consider the following operation: we choose any two adjacent positions in the string, and if one them contains 0, and the other contains 1, then we are allowed to remove these two digits from the string, obtaining a string of length *n*<=-<=2 as a result.
Now Andreid thinks about what is the minimum length of the string that can remain after applying the described operation several times (possibly, zero)? Help him to calculate this number. | First line of the input contains a single integer *n* (1<=β€<=*n*<=β€<=2Β·105), the length of the string that Andreid has.
The second line contains the string of length *n* consisting only from zeros and ones. | Output the minimum length of the string that may remain after applying the described operations several times. | [
"4\n1100\n",
"5\n01010\n",
"8\n11101111\n"
] | [
"0\n",
"1\n",
"6\n"
] | In the first sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/10df55364c21c6e8d5da31b6ab6f6294c4fc26b3.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/19ec5dcd85f0b5cf757aa076ace72df39634de2d.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the third sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/dc34a159e4230375fa325555527ebc748811f188.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | [
{
"input": "4\n1100",
"output": "0"
},
{
"input": "5\n01010",
"output": "1"
},
{
"input": "8\n11101111",
"output": "6"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "2\n00",
"output": "2"
},
{
"input"... | 62 | 409,600 | 3 | 570 | |
280 | Maximum Xor Secondary | [
"data structures",
"implementation",
"two pointers"
] | null | null | Bike loves looking for the second maximum element in the sequence. The second maximum element in the sequence of distinct numbers *x*1,<=*x*2,<=...,<=*x**k* (*k*<=><=1) is such maximum element *x**j*, that the following inequality holds: .
The lucky number of the sequence of distinct positive integers *x*1,<=*x*2,<=...,<=*x**k* (*k*<=><=1) is the number that is equal to the bitwise excluding OR of the maximum element of the sequence and the second maximum element of the sequence.
You've got a sequence of distinct positive integers *s*1,<=*s*2,<=...,<=*s**n* (*n*<=><=1). Let's denote sequence *s**l*,<=*s**l*<=+<=1,<=...,<=*s**r* as *s*[*l*..*r*] (1<=β€<=*l*<=<<=*r*<=β€<=*n*). Your task is to find the maximum number among all lucky numbers of sequences *s*[*l*..*r*].
Note that as all numbers in sequence *s* are distinct, all the given definitions make sence. | The first line contains integer *n* (1<=<<=*n*<=β€<=105). The second line contains *n* distinct integers *s*1,<=*s*2,<=...,<=*s**n* (1<=β€<=*s**i*<=β€<=109). | Print a single integer β the maximum lucky number among all lucky numbers of sequences *s*[*l*..*r*]. | [
"5\n5 2 1 4 3\n",
"5\n9 8 3 5 7\n"
] | [
"7\n",
"15\n"
] | For the first sample you can choose *s*[4..5]β=β{4,β3} and its lucky number is (4Β *xor*Β 3)β=β7. You can also choose *s*[1..2].
For the second sample you must choose *s*[2..5]β=β{8,β3,β5,β7}. | [
{
"input": "5\n5 2 1 4 3",
"output": "7"
},
{
"input": "5\n9 8 3 5 7",
"output": "15"
},
{
"input": "10\n76969694 71698884 32888447 31877010 65564584 87864180 7850891 1505323 17879621 15722446",
"output": "128869996"
},
{
"input": "10\n4547989 39261040 94929326 38131456 26174... | 62 | 102,400 | 0 | 576 | |
682 | Alyona and Numbers | [
"constructive algorithms",
"math",
"number theory"
] | null | null | After finishing eating her bun, Alyona came up with two integers *n* and *m*. She decided to write down two columns of integersΒ β the first column containing integers from 1 to *n* and the second containing integers from 1 to *m*. Now the girl wants to count how many pairs of integers she can choose, one from the first column and the other from the second column, such that their sum is divisible by 5.
Formally, Alyona wants to count the number of pairs of integers (*x*,<=*y*) such that 1<=β€<=*x*<=β€<=*n*, 1<=β€<=*y*<=β€<=*m* and equals 0.
As usual, Alyona has some troubles and asks you to help. | The only line of the input contains two integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=1<=000<=000). | Print the only integerΒ β the number of pairs of integers (*x*,<=*y*) such that 1<=β€<=*x*<=β€<=*n*, 1<=β€<=*y*<=β€<=*m* and (*x*<=+<=*y*) is divisible by 5. | [
"6 12\n",
"11 14\n",
"1 5\n",
"3 8\n",
"5 7\n",
"21 21\n"
] | [
"14\n",
"31\n",
"1\n",
"5\n",
"7\n",
"88\n"
] | Following pairs are suitable in the first sample case:
- for *x*β=β1 fits *y* equal to 4 or 9; - for *x*β=β2 fits *y* equal to 3 or 8; - for *x*β=β3 fits *y* equal to 2, 7 or 12; - for *x*β=β4 fits *y* equal to 1, 6 or 11; - for *x*β=β5 fits *y* equal to 5 or 10; - for *x*β=β6 fits *y* equal to 4 or 9.
Only the pair (1,β4) is suitable in the third sample case. | [
{
"input": "6 12",
"output": "14"
},
{
"input": "11 14",
"output": "31"
},
{
"input": "1 5",
"output": "1"
},
{
"input": "3 8",
"output": "5"
},
{
"input": "5 7",
"output": "7"
},
{
"input": "21 21",
"output": "88"
},
{
"input": "10 15",
... | 46 | 0 | 0 | 579 | |
673 | Bear and Game | [
"implementation"
] | null | null | Bear Limak likes watching sports on TV. He is going to watch a game today. The game lasts 90 minutes and there are no breaks.
Each minute can be either interesting or boring. If 15 consecutive minutes are boring then Limak immediately turns TV off.
You know that there will be *n* interesting minutes *t*1,<=*t*2,<=...,<=*t**n*. Your task is to calculate for how many minutes Limak will watch the game. | The first line of the input contains one integer *n* (1<=β€<=*n*<=β€<=90)Β β the number of interesting minutes.
The second line contains *n* integers *t*1,<=*t*2,<=...,<=*t**n* (1<=β€<=*t*1<=<<=*t*2<=<<=... *t**n*<=β€<=90), given in the increasing order. | Print the number of minutes Limak will watch the game. | [
"3\n7 20 88\n",
"9\n16 20 30 40 50 60 70 80 90\n",
"9\n15 20 30 40 50 60 70 80 90\n"
] | [
"35\n",
"15\n",
"90\n"
] | In the first sample, minutes 21,β22,β...,β35 are all boring and thus Limak will turn TV off immediately after the 35-th minute. So, he would watch the game for 35 minutes.
In the second sample, the first 15 minutes are boring.
In the third sample, there are no consecutive 15 boring minutes. So, Limak will watch the whole game. | [
{
"input": "3\n7 20 88",
"output": "35"
},
{
"input": "9\n16 20 30 40 50 60 70 80 90",
"output": "15"
},
{
"input": "9\n15 20 30 40 50 60 70 80 90",
"output": "90"
},
{
"input": "30\n6 11 12 15 22 24 30 31 32 33 34 35 40 42 44 45 47 50 53 54 57 58 63 67 75 77 79 81 83 88",
... | 108 | 0 | 0 | 581 | |
124 | The number of positions | [
"math"
] | null | null | Petr stands in line of *n* people, but he doesn't know exactly which position he occupies. He can say that there are no less than *a* people standing in front of him and no more than *b* people standing behind him. Find the number of different positions Petr can occupy. | The only line contains three integers *n*, *a* and *b* (0<=β€<=*a*,<=*b*<=<<=*n*<=β€<=100). | Print the single number β the number of the sought positions. | [
"3 1 1\n",
"5 2 3\n"
] | [
"2\n",
"3\n"
] | The possible positions in the first sample are: 2 and 3 (if we number the positions starting with 1).
In the second sample they are 3, 4 and 5. | [
{
"input": "3 1 1",
"output": "2"
},
{
"input": "5 2 3",
"output": "3"
},
{
"input": "5 4 0",
"output": "1"
},
{
"input": "6 5 5",
"output": "1"
},
{
"input": "9 4 3",
"output": "4"
},
{
"input": "11 4 6",
"output": "7"
},
{
"input": "13 8 ... | 62 | 0 | 0 | 582 | |
278 | New Problem | [
"brute force",
"strings"
] | null | null | Coming up with a new problem isn't as easy as many people think. Sometimes it is hard enough to name it. We'll consider a title original if it doesn't occur as a substring in any titles of recent Codeforces problems.
You've got the titles of *n* last problems β the strings, consisting of lowercase English letters. Your task is to find the shortest original title for the new problem. If there are multiple such titles, choose the lexicographically minimum one. Note, that title of the problem can't be an empty string.
A substring *s*[*l*... *r*] (1<=β€<=*l*<=β€<=*r*<=β€<=|*s*|) of string *s*<==<=*s*1*s*2... *s*|*s*| (where |*s*| is the length of string *s*) is string *s**l**s**l*<=+<=1... *s**r*.
String *x*<==<=*x*1*x*2... *x**p* is lexicographically smaller than string *y*<==<=*y*1*y*2... *y**q*, if either *p*<=<<=*q* and *x*1<==<=*y*1,<=*x*2<==<=*y*2,<=... ,<=*x**p*<==<=*y**p*, or there exists such number *r* (*r*<=<<=*p*,<=*r*<=<<=*q*), that *x*1<==<=*y*1,<=*x*2<==<=*y*2,<=... ,<=*x**r*<==<=*y**r* and *x**r*<=+<=1<=<<=*y**r*<=+<=1. The string characters are compared by their ASCII codes. | The first line contains integer *n* (1<=β€<=*n*<=β€<=30) β the number of titles you've got to consider. Then follow *n* problem titles, one per line. Each title only consists of lowercase English letters (specifically, it doesn't contain any spaces) and has the length from 1 to 20, inclusive. | Print a string, consisting of lowercase English letters β the lexicographically minimum shortest original title. | [
"5\nthreehorses\ngoodsubstrings\nsecret\nprimematrix\nbeautifulyear\n",
"4\naa\nbdefghijklmn\nopqrstuvwxyz\nc\n"
] | [
"j\n",
"ab\n"
] | In the first sample the first 9 letters of the English alphabet (a, b, c, d, e, f, g, h, i) occur in the problem titles, so the answer is letter j.
In the second sample the titles contain 26 English letters, so the shortest original title cannot have length 1. Title aa occurs as a substring in the first title. | [
{
"input": "5\nthreehorses\ngoodsubstrings\nsecret\nprimematrix\nbeautifulyear",
"output": "j"
},
{
"input": "4\naa\nbdefghijklmn\nopqrstuvwxyz\nc",
"output": "ab"
},
{
"input": "1\na",
"output": "b"
},
{
"input": "1\nb",
"output": "a"
},
{
"input": "1\nz",
"o... | 92 | 102,400 | 0 | 583 | |
689 | Mike and Shortcuts | [
"dfs and similar",
"graphs",
"greedy",
"shortest paths"
] | null | null | Recently, Mike was very busy with studying for exams and contests. Now he is going to chill a bit by doing some sight seeing in the city.
City consists of *n* intersections numbered from 1 to *n*. Mike starts walking from his house located at the intersection number 1 and goes along some sequence of intersections. Walking from intersection number *i* to intersection *j* requires |*i*<=-<=*j*| units of energy. The total energy spent by Mike to visit a sequence of intersections *p*1<==<=1,<=*p*2,<=...,<=*p**k* is equal to units of energy.
Of course, walking would be boring if there were no shortcuts. A shortcut is a special path that allows Mike walking from one intersection to another requiring only 1 unit of energy. There are exactly *n* shortcuts in Mike's city, the *i**th* of them allows walking from intersection *i* to intersection *a**i* (*i*<=β€<=*a**i*<=β€<=*a**i*<=+<=1) (but not in the opposite direction), thus there is exactly one shortcut starting at each intersection. Formally, if Mike chooses a sequence *p*1<==<=1,<=*p*2,<=...,<=*p**k* then for each 1<=β€<=*i*<=<<=*k* satisfying *p**i*<=+<=1<==<=*a**p**i* and *a**p**i*<=β <=*p**i* Mike will spend only 1 unit of energy instead of |*p**i*<=-<=*p**i*<=+<=1| walking from the intersection *p**i* to intersection *p**i*<=+<=1. For example, if Mike chooses a sequence *p*1<==<=1,<=*p*2<==<=*a**p*1,<=*p*3<==<=*a**p*2,<=...,<=*p**k*<==<=*a**p**k*<=-<=1, he spends exactly *k*<=-<=1 units of total energy walking around them.
Before going on his adventure, Mike asks you to find the minimum amount of energy required to reach each of the intersections from his home. Formally, for each 1<=β€<=*i*<=β€<=*n* Mike is interested in finding minimum possible total energy of some sequence *p*1<==<=1,<=*p*2,<=...,<=*p**k*<==<=*i*. | The first line contains an integer *n* (1<=β€<=*n*<=β€<=200<=000)Β β the number of Mike's city intersection.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (*i*<=β€<=*a**i*<=β€<=*n* , , describing shortcuts of Mike's city, allowing to walk from intersection *i* to intersection *a**i* using only 1 unit of energy. Please note that the shortcuts don't allow walking in opposite directions (from *a**i* to *i*). | In the only line print *n* integers *m*1,<=*m*2,<=...,<=*m**n*, where *m**i* denotes the least amount of total energy required to walk from intersection 1 to intersection *i*. | [
"3\n2 2 3\n",
"5\n1 2 3 4 5\n",
"7\n4 4 4 4 7 7 7\n"
] | [
"0 1 2 \n",
"0 1 2 3 4 \n",
"0 1 2 1 2 3 3 \n"
] | In the first sample case desired sequences are:
1:β1; *m*<sub class="lower-index">1</sub>β=β0;
2:β1,β2; *m*<sub class="lower-index">2</sub>β=β1;
3:β1,β3; *m*<sub class="lower-index">3</sub>β=β|3β-β1|β=β2.
In the second sample case the sequence for any intersection 1β<β*i* is always 1,β*i* and *m*<sub class="lower-index">*i*</sub>β=β|1β-β*i*|.
In the third sample caseΒ β consider the following intersection sequences:
1:β1; *m*<sub class="lower-index">1</sub>β=β0;
2:β1,β2; *m*<sub class="lower-index">2</sub>β=β|2β-β1|β=β1;
3:β1,β4,β3; *m*<sub class="lower-index">3</sub>β=β1β+β|4β-β3|β=β2;
4:β1,β4; *m*<sub class="lower-index">4</sub>β=β1;
5:β1,β4,β5; *m*<sub class="lower-index">5</sub>β=β1β+β|4β-β5|β=β2;
6:β1,β4,β6; *m*<sub class="lower-index">6</sub>β=β1β+β|4β-β6|β=β3;
7:β1,β4,β5,β7; *m*<sub class="lower-index">7</sub>β=β1β+β|4β-β5|β+β1β=β3. | [
{
"input": "3\n2 2 3",
"output": "0 1 2 "
},
{
"input": "5\n1 2 3 4 5",
"output": "0 1 2 3 4 "
},
{
"input": "7\n4 4 4 4 7 7 7",
"output": "0 1 2 1 2 3 3 "
},
{
"input": "98\n17 17 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 57 87 87... | 31 | 0 | 0 | 584 | |
263 | Beautiful Matrix | [
"implementation"
] | null | null | You've got a 5<=Γ<=5 matrix, consisting of 24 zeroes and a single number one. Let's index the matrix rows by numbers from 1 to 5 from top to bottom, let's index the matrix columns by numbers from 1 to 5 from left to right. In one move, you are allowed to apply one of the two following transformations to the matrix:
1. Swap two neighboring matrix rows, that is, rows with indexes *i* and *i*<=+<=1 for some integer *i* (1<=β€<=*i*<=<<=5). 1. Swap two neighboring matrix columns, that is, columns with indexes *j* and *j*<=+<=1 for some integer *j* (1<=β€<=*j*<=<<=5).
You think that a matrix looks beautiful, if the single number one of the matrix is located in its middle (in the cell that is on the intersection of the third row and the third column). Count the minimum number of moves needed to make the matrix beautiful. | The input consists of five lines, each line contains five integers: the *j*-th integer in the *i*-th line of the input represents the element of the matrix that is located on the intersection of the *i*-th row and the *j*-th column. It is guaranteed that the matrix consists of 24 zeroes and a single number one. | Print a single integer β the minimum number of moves needed to make the matrix beautiful. | [
"0 0 0 0 0\n0 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n",
"0 0 0 0 0\n0 0 0 0 0\n0 1 0 0 0\n0 0 0 0 0\n0 0 0 0 0\n"
] | [
"3\n",
"1\n"
] | none | [
{
"input": "0 0 0 0 0\n0 0 0 0 1\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "3"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 1 0 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "1"
},
{
"input": "0 0 0 0 0\n0 0 0 0 0\n0 0 1 0 0\n0 0 0 0 0\n0 0 0 0 0",
"output": "0"
},
{
"input": "0 0 0 0 0... | 122 | 0 | 3 | 585 | |
775 | University Schedule | [
"*special"
] | null | null | In this problem your task is to come up with a week schedule of classes in university for professors and student groups. Consider that there are 6 educational days in week and maximum number of classes per educational day is 7 (classes numerated from 1 to 7 for each educational day).
It is known that in university *n* students study, *m* professors work and there are *a* classrooms for conducting classes. Also you have two-dimensional array with *n*<=Γ<=*m* size which contains the following information. The number which stays in *i*-th row and *j*-th column equals to the number of classes which professor *j* must conduct with the group *i* in a single week. The schedule which you output must satisfy to array described above.
There are several other conditions for schedule. Single professor can not conduct more than one class. Similarly, single student group can not be on more than one class at the same time.
Let define a fatigue function for professors and student groups. Call this function *f*.
To single professor fatigue calculated in the following way. Let look on classes which this professor must conduct in each of the 6-th educational days. Let *x* be the number of class which professor will firstly conduct in day *i* and let *y* β the last class for this professor. Then the value (2<=+<=*y*<=-<=*x*<=+<=1)Β·(2<=+<=*y*<=-<=*x*<=+<=1) must be added to professor's fatigue. If professor has no classes in day *i*, nothing is added to professor's fatigue.
For single student group fatigue is calculated similarly. Lets look at classes of this group in each of the 6 educational days. Let *x* be the number of first class for this group on day *i* and let *y* β the last class for this group. Then the value (2<=+<=*y*<=-<=*x*<=+<=1)Β·(2<=+<=*y*<=-<=*x*<=+<=1) must be added to this group's fatigue. If student group has no classes in day *i*, nothing is added to group's fatigue.
So the value of function *f* equals to total {fatigue} for all *n* student groups and for all *m* professors.
Your task is to come up with such a schedule which minimizes the value of function *f*.
Jury prepared some solution of this problem. For each test you will get a certain number of points. It equals to result of division of the value of function *f* from the jury solution by the value of function *f* for schedule which your program output (i. e. the smaller value of {fatigue} function your program find the more points you will get), multiplied by 100. In the other words if the value of *f* for jury solution equals to *p* and for your solution β to *q*, you will get 100Β·*p*<=/<=*q* points (note, that the number of points is a real number). The points will be added together for all tests. The goal is to score as many points as possible. | The first line contains three integers *n*, *m* and *a* (1<=β€<=*n*,<=*m*,<=*a*<=β€<=60) β the number of groups, the number of professors and the number of classrooms.
Each of the following *n* lines contains *m* integers from 0 to 24 β *j*-th number in *i*-th line equals to the number of classes with the professor *j* must conduct with the *i*-th student group.
It is guaranteed that the number of classes in week for each professor and for each student group does not exceed 24. Also guaranteed that the total number of classes in week does not exceed 75% from a maximum number of classes which can be conducted based on the number of classrooms. For all tests there is at least one schedule satisfying all described conditions. | In the first line print the minimized value of function *f*.
After that print blank line.
After that print the schedule for each student group in increasing order of group number. For each student group print 7 lines. Each line must contains 6 numbers. Let the number at *i*-th line and *j*-th column equals to *x*. If in *j*-th day current group has no class number *i*, *x* must be equals to zero. Otherwise *x* must be equals to the number of professor who will conduct the corresponding class with the corresponding student group.
The number of classes which will be conducted simultaneously must not exceeds the number of classrooms *a*.
Separate the description of the schedules for groups with a blank line. | [
"3 3 1\n1 0 0\n0 1 0\n0 0 1\n",
"3 1 1\n1\n1\n1\n",
"5 7 10\n1 3 6 0 1 2 4\n0 3 0 6 5 1 4\n3 5 1 2 3 2 4\n2 3 1 1 4 1 2\n2 4 3 2 4 3 2\n"
] | [
"54\n\n1 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n\n0 0 0 0 0 0 \n2 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n\n0 0 0 0 0 0 \n0 0 0 0 0 0 \n3 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n0 0 0 0 0 0 \n",
"52\n\... | During the main part of the competition (one week) you solution will be judged on 100 preliminary tests. The first 10 preliminary tests are available for download by a link [http://assets.codeforces.com/files/vk/vkcup-2017-wr2-materials-v1.tar.gz](//assets.codeforces.com/files/vk/vkcup-2017-wr2-materials-v1.tar.gz).
After the end of the contest (i.e., a week after its start) the last solution you sent (having positive score) will be chosen to be launched on the extended final tests. | [] | 77 | 2,252,800 | -1 | 589 | |
584 | Olesya and Rodion | [
"math"
] | null | null | Olesya loves numbers consisting of *n* digits, and Rodion only likes numbers that are divisible by *t*. Find some number that satisfies both of them.
Your task is: given the *n* and *t* print an integer strictly larger than zero consisting of *n* digits that is divisible by *t*. If such number doesn't exist, print <=-<=1. | The single line contains two numbers, *n* and *t* (1<=β€<=*n*<=β€<=100, 2<=β€<=*t*<=β€<=10) β the length of the number and the number it should be divisible by. | Print one such positive number without leading zeroes, β the answer to the problem, or <=-<=1, if such number doesn't exist. If there are multiple possible answers, you are allowed to print any of them. | [
"3 2\n"
] | [
"712"
] | none | [
{
"input": "3 2",
"output": "222"
},
{
"input": "2 2",
"output": "22"
},
{
"input": "4 3",
"output": "3333"
},
{
"input": "5 3",
"output": "33333"
},
{
"input": "10 7",
"output": "7777777777"
},
{
"input": "2 9",
"output": "99"
},
{
"input"... | 31 | 0 | 0 | 590 | |
651 | Beautiful Paintings | [
"greedy",
"sortings"
] | null | null | There are *n* pictures delivered for the new exhibition. The *i*-th painting has beauty *a**i*. We know that a visitor becomes happy every time he passes from a painting to a more beautiful one.
We are allowed to arranged pictures in any order. What is the maximum possible number of times the visitor may become happy while passing all pictures from first to last? In other words, we are allowed to rearrange elements of *a* in any order. What is the maximum possible number of indices *i* (1<=β€<=*i*<=β€<=*n*<=-<=1), such that *a**i*<=+<=1<=><=*a**i*. | The first line of the input contains integer *n* (1<=β€<=*n*<=β€<=1000)Β β the number of painting.
The second line contains the sequence *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=1000), where *a**i* means the beauty of the *i*-th painting. | Print one integerΒ β the maximum possible number of neighbouring pairs, such that *a**i*<=+<=1<=><=*a**i*, after the optimal rearrangement. | [
"5\n20 30 10 50 40\n",
"4\n200 100 100 200\n"
] | [
"4\n",
"2\n"
] | In the first sample, the optimal order is: 10,β20,β30,β40,β50.
In the second sample, the optimal order is: 100,β200,β100,β200. | [
{
"input": "5\n20 30 10 50 40",
"output": "4"
},
{
"input": "4\n200 100 100 200",
"output": "2"
},
{
"input": "10\n2 2 2 2 2 2 2 2 2 2",
"output": "0"
},
{
"input": "1\n1000",
"output": "0"
},
{
"input": "2\n444 333",
"output": "1"
},
{
"input": "100\n... | 93 | 0 | 3 | 591 | |
234 | Weather | [
"dp",
"implementation"
] | null | null | Scientists say a lot about the problems of global warming and cooling of the Earth. Indeed, such natural phenomena strongly influence all life on our planet.
Our hero Vasya is quite concerned about the problems. He decided to try a little experiment and observe how outside daily temperature changes. He hung out a thermometer on the balcony every morning and recorded the temperature. He had been measuring the temperature for the last *n* days. Thus, he got a sequence of numbers *t*1,<=*t*2,<=...,<=*t**n*, where the *i*-th number is the temperature on the *i*-th day.
Vasya analyzed the temperature statistics in other cities, and came to the conclusion that the city has no environmental problems, if first the temperature outside is negative for some non-zero number of days, and then the temperature is positive for some non-zero number of days. More formally, there must be a positive integer *k* (1<=β€<=*k*<=β€<=*n*<=-<=1) such that *t*1<=<<=0,<=*t*2<=<<=0,<=...,<=*t**k*<=<<=0 and *t**k*<=+<=1<=><=0,<=*t**k*<=+<=2<=><=0,<=...,<=*t**n*<=><=0. In particular, the temperature should never be zero. If this condition is not met, Vasya decides that his city has environmental problems, and gets upset.
You do not want to upset Vasya. Therefore, you want to select multiple values of temperature and modify them to satisfy Vasya's condition. You need to know what the least number of temperature values needs to be changed for that. | The first line contains a single integer *n* (2<=β€<=*n*<=β€<=105) β the number of days for which Vasya has been measuring the temperature.
The second line contains a sequence of *n* integers *t*1,<=*t*2,<=...,<=*t**n* (|*t**i*|<=β€<=109) β the sequence of temperature values. Numbers *t**i* are separated by single spaces. | Print a single integer β the answer to the given task. | [
"4\n-1 1 -2 1\n",
"5\n0 -1 1 2 -5\n"
] | [
"1\n",
"2\n"
] | Note to the first sample: there are two ways to change exactly one number so that the sequence met Vasya's condition. You can either replace the first number 1 by any negative number or replace the number -2 by any positive number. | [
{
"input": "4\n-1 1 -2 1",
"output": "1"
},
{
"input": "5\n0 -1 1 2 -5",
"output": "2"
},
{
"input": "6\n0 0 0 0 0 0",
"output": "6"
},
{
"input": "6\n-1 -2 -3 -4 5 6",
"output": "0"
},
{
"input": "8\n1 2 -1 0 10 2 12 13",
"output": "3"
},
{
"input": "... | 124 | 6,963,200 | 0 | 594 | |
804 | Find Amir | [
"constructive algorithms",
"greedy",
"math"
] | null | null | A few years ago Sajjad left his school and register to another one due to security reasons. Now he wishes to find Amir, one of his schoolmates and good friends.
There are *n* schools numerated from 1 to *n*. One can travel between each pair of them, to do so, he needs to buy a ticket. The ticker between schools *i* and *j* costs and can be used multiple times. Help Sajjad to find the minimum cost he needs to pay for tickets to visit all schools. He can start and finish in any school. | The first line contains a single integer *n* (1<=β€<=*n*<=β€<=105)Β β the number of schools. | Print single integer: the minimum cost of tickets needed to visit all schools. | [
"2\n",
"10\n"
] | [
"0\n",
"4\n"
] | In the first example we can buy a ticket between the schools that costs <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c67d72010e0498bfd065a6a38fdeaec90358507b.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | [
{
"input": "2",
"output": "0"
},
{
"input": "10",
"output": "4"
},
{
"input": "43670",
"output": "21834"
},
{
"input": "4217",
"output": "2108"
},
{
"input": "17879",
"output": "8939"
},
{
"input": "31809",
"output": "15904"
},
{
"input": "... | 109 | 0 | 3 | 596 | |
593 | Beautiful Function | [
"constructive algorithms",
"math"
] | null | null | Every day Ruslan tried to count sheep to fall asleep, but this didn't help. Now he has found a more interesting thing to do. First, he thinks of some set of circles on a plane, and then tries to choose a beautiful set of points, such that there is at least one point from the set inside or on the border of each of the imagined circles.
Yesterday Ruslan tried to solve this problem for the case when the set of points is considered beautiful if it is given as (*x**t*<==<=*f*(*t*),<=*y**t*<==<=*g*(*t*)), where argument *t* takes all integer values from 0 to 50. Moreover, *f*(*t*) and *g*(*t*) should be correct functions.
Assume that *w*(*t*) and *h*(*t*) are some correct functions, and *c* is an integer ranging from 0 to 50. The function *s*(*t*) is correct if it's obtained by one of the following rules:
1. *s*(*t*)<==<=*abs*(*w*(*t*)), where *abs*(*x*) means taking the absolute value of a number *x*, i.e. |*x*|;1. *s*(*t*)<==<=(*w*(*t*)<=+<=*h*(*t*));1. *s*(*t*)<==<=(*w*(*t*)<=-<=*h*(*t*));1. *s*(*t*)<==<=(*w*(*t*)<=*<=*h*(*t*)), where <=*<= means multiplication, i.e. (*w*(*t*)Β·*h*(*t*));1. *s*(*t*)<==<=*c*;1. *s*(*t*)<==<=*t*;
Yesterday Ruslan thought on and on, but he could not cope with the task. Now he asks you to write a program that computes the appropriate *f*(*t*) and *g*(*t*) for any set of at most 50 circles.
In each of the functions *f*(*t*) and *g*(*t*) you are allowed to use no more than 50 multiplications. The length of any function should not exceed 100Β·*n* characters. The function should not contain spaces.
Ruslan can't keep big numbers in his memory, so you should choose *f*(*t*) and *g*(*t*), such that for all integer *t* from 0 to 50 value of *f*(*t*) and *g*(*t*) and all the intermediate calculations won't exceed 109 by their absolute value. | The first line of the input contains number *n* (1<=β€<=*n*<=β€<=50)Β β the number of circles Ruslan thinks of. Next follow *n* lines, each of them containing three integers *x**i*, *y**i* and *r**i* (0<=β€<=*x**i*,<=*y**i*<=β€<=50, 2<=β€<=*r**i*<=β€<=50)Β β the coordinates of the center and the raduis of the *i*-th circle. | In the first line print a correct function *f*(*t*). In the second line print a correct function *g*(*t*). The set of the points (*x**t*<==<=*f*(*t*),<=*y**t*<==<=*g*(*t*)) (0<=β€<=*t*<=β€<=50) must satisfy the condition, that there is at least one point inside or on the border of each of the circles, Ruslan thinks of at the beginning. | [
"3\n0 10 4\n10 0 4\n20 10 4\n"
] | [
"t \nabs((t-10))"
] | Correct functions:
1. 101. (1+2)1. ((*t*-3)+(*t**4))1. *abs*((*t*-10))1. (*abs*((((23-*t*)*(*t***t*))+((45+12)*(*t***t*))))*((5**t*)+((12**t*)-13)))1. *abs*((*t*-(*abs*((*t**31))+14))))
Incorrect functions:
1. 3+5+7 (not enough brackets, it should be ((3+5)+7) or (3+(5+7))) 1. *abs*(*t*-3) (not enough brackets, it should be *abs*((*t*-3))1. 2+(2-3 (one bracket too many)1. 1(*t*+5) (no arithmetic operation between 1 and the bracket)1. 5000*5000 (the number exceeds the maximum) | [
{
"input": "3\n0 10 4\n10 0 4\n20 10 4",
"output": "(((0*((1-abs((t-0)))+abs((abs((t-0))-1))))+(5*((1-abs((t-1)))+abs((abs((t-1))-1)))))+(10*((1-abs((t-2)))+abs((abs((t-2))-1)))))\n(((5*((1-abs((t-0)))+abs((abs((t-0))-1))))+(0*((1-abs((t-1)))+abs((abs((t-1))-1)))))+(5*((1-abs((t-2)))+abs((abs((t-2))-1)))))"... | 93 | 0 | 0 | 597 | |
670 | Magic Powder - 1 | [
"binary search",
"brute force",
"implementation"
] | null | null | This problem is given in two versions that differ only by constraints. If you can solve this problem in large constraints, then you can just write a single solution to the both versions. If you find the problem too difficult in large constraints, you can write solution to the simplified version only.
Waking up in the morning, Apollinaria decided to bake cookies. To bake one cookie, she needs *n* ingredients, and for each ingredient she knows the value *a**i*Β β how many grams of this ingredient one needs to bake a cookie. To prepare one cookie Apollinaria needs to use all *n* ingredients.
Apollinaria has *b**i* gram of the *i*-th ingredient. Also she has *k* grams of a magic powder. Each gram of magic powder can be turned to exactly 1 gram of any of the *n* ingredients and can be used for baking cookies.
Your task is to determine the maximum number of cookies, which Apollinaria is able to bake using the ingredients that she has and the magic powder. | The first line of the input contains two positive integers *n* and *k* (1<=β€<=*n*,<=*k*<=β€<=1000)Β β the number of ingredients and the number of grams of the magic powder.
The second line contains the sequence *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=1000), where the *i*-th number is equal to the number of grams of the *i*-th ingredient, needed to bake one cookie.
The third line contains the sequence *b*1,<=*b*2,<=...,<=*b**n* (1<=β€<=*b**i*<=β€<=1000), where the *i*-th number is equal to the number of grams of the *i*-th ingredient, which Apollinaria has. | Print the maximum number of cookies, which Apollinaria will be able to bake using the ingredients that she has and the magic powder. | [
"3 1\n2 1 4\n11 3 16\n",
"4 3\n4 3 5 6\n11 12 14 20\n"
] | [
"4\n",
"3\n"
] | In the first sample it is profitably for Apollinaria to make the existing 1 gram of her magic powder to ingredient with the index 2, then Apollinaria will be able to bake 4 cookies.
In the second sample Apollinaria should turn 1 gram of magic powder to ingredient with the index 1 and 1 gram of magic powder to ingredient with the index 3. Then Apollinaria will be able to bake 3 cookies. The remaining 1 gram of the magic powder can be left, because it can't be used to increase the answer. | [
{
"input": "3 1\n2 1 4\n11 3 16",
"output": "4"
},
{
"input": "4 3\n4 3 5 6\n11 12 14 20",
"output": "3"
},
{
"input": "10 926\n5 6 8 1 2 5 1 8 4 4\n351 739 998 725 953 970 906 691 707 1000",
"output": "137"
},
{
"input": "20 925\n7 3 1 2 1 3 1 3 1 2 3 1 5 8 1 3 7 3 4 2\n837 ... | 62 | 2,560,000 | 3 | 598 | |
764 | Timofey and cubes | [
"constructive algorithms",
"implementation"
] | null | null | Young Timofey has a birthday today! He got kit of *n* cubes as a birthday present from his parents. Every cube has a number *a**i*, which is written on it. Timofey put all the cubes in a row and went to unpack other presents.
In this time, Timofey's elder brother, Dima reordered the cubes using the following rule. Suppose the cubes are numbered from 1 to *n* in their order. Dima performs several steps, on step *i* he reverses the segment of cubes from *i*-th to (*n*<=-<=*i*<=+<=1)-th. He does this while *i*<=β€<=*n*<=-<=*i*<=+<=1.
After performing the operations Dima went away, being very proud of himself. When Timofey returned to his cubes, he understood that their order was changed. Help Timofey as fast as you can and save the holidayΒ β restore the initial order of the cubes using information of their current location. | The first line contains single integer *n* (1<=β€<=*n*<=β€<=2Β·105)Β β the number of cubes.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=β€<=*a**i*<=β€<=109), where *a**i* is the number written on the *i*-th cube after Dima has changed their order. | Print *n* integers, separated by spacesΒ β the numbers written on the cubes in their initial order.
It can be shown that the answer is unique. | [
"7\n4 3 7 6 9 1 2\n",
"8\n6 1 4 2 5 6 9 2\n"
] | [
"2 3 9 6 7 1 4",
"2 1 6 2 5 4 9 6"
] | Consider the first sample.
1. At the begining row was [2, 3, 9, 6, 7, 1, 4]. 1. After first operation row was [4, 1, 7, 6, 9, 3, 2]. 1. After second operation row was [4, 3, 9, 6, 7, 1, 2]. 1. After third operation row was [4, 3, 7, 6, 9, 1, 2]. 1. At fourth operation we reverse just middle element, so nothing has changed. The final row is [4, 3, 7, 6, 9, 1, 2]. So the answer for this case is row [2, 3, 9, 6, 7, 1, 4]. | [
{
"input": "7\n4 3 7 6 9 1 2",
"output": "2 3 9 6 7 1 4"
},
{
"input": "8\n6 1 4 2 5 6 9 2",
"output": "2 1 6 2 5 4 9 6"
},
{
"input": "1\n1424",
"output": "1424"
},
{
"input": "9\n-7 9 -4 9 -6 11 15 2 -10",
"output": "-10 9 15 9 -6 11 -4 2 -7"
},
{
"input": "2\n2... | 421 | 17,817,600 | 3 | 600 | |
133 | HQ9+ | [
"implementation"
] | null | null | HQ9+ is a joke programming language which has only four one-character instructions:
- "H" prints "Hello, World!",- "Q" prints the source code of the program itself,- "9" prints the lyrics of "99 Bottles of Beer" song, - "+" increments the value stored in the internal accumulator.
Instructions "H" and "Q" are case-sensitive and must be uppercase. The characters of the program which are not instructions are ignored.
You are given a program written in HQ9+. You have to figure out whether executing this program will produce any output. | The input will consist of a single line *p* which will give a program in HQ9+. String *p* will contain between 1 and 100 characters, inclusive. ASCII-code of each character of *p* will be between 33 (exclamation mark) and 126 (tilde), inclusive. | Output "YES", if executing the program will produce any output, and "NO" otherwise. | [
"Hi!\n",
"Codeforces\n"
] | [
"YES\n",
"NO\n"
] | In the first case the program contains only one instruction β "H", which prints "Hello, World!".
In the second case none of the program characters are language instructions. | [
{
"input": "Hi!",
"output": "YES"
},
{
"input": "Codeforces",
"output": "NO"
},
{
"input": "a+b=c",
"output": "NO"
},
{
"input": "hq-lowercase",
"output": "NO"
},
{
"input": "Q",
"output": "YES"
},
{
"input": "9",
"output": "YES"
},
{
"inpu... | 124 | 0 | 0 | 603 | |
748 | Santa Claus and a Place in a Class | [
"implementation",
"math"
] | null | null | Santa Claus is the first who came to the Christmas Olympiad, and he is going to be the first to take his place at a desk! In the classroom there are *n* lanes of *m* desks each, and there are two working places at each of the desks. The lanes are numbered from 1 to *n* from the left to the right, the desks in a lane are numbered from 1 to *m* starting from the blackboard. Note that the lanes go perpendicularly to the blackboard, not along it (see picture).
The organizers numbered all the working places from 1 to 2*nm*. The places are numbered by lanes (i.Β e. all the places of the first lane go first, then all the places of the second lane, and so on), in a lane the places are numbered starting from the nearest to the blackboard (i.Β e. from the first desk in the lane), at each desk, the place on the left is numbered before the place on the right.
Santa Clause knows that his place has number *k*. Help him to determine at which lane at which desk he should sit, and whether his place is on the left or on the right! | The only line contains three integers *n*, *m* and *k* (1<=β€<=*n*,<=*m*<=β€<=10<=000, 1<=β€<=*k*<=β€<=2*nm*)Β β the number of lanes, the number of desks in each lane and the number of Santa Claus' place. | Print two integers: the number of lane *r*, the number of desk *d*, and a character *s*, which stands for the side of the desk Santa Claus. The character *s* should be "L", if Santa Clause should sit on the left, and "R" if his place is on the right. | [
"4 3 9\n",
"4 3 24\n",
"2 4 4\n"
] | [
"2 2 L\n",
"4 3 R\n",
"1 2 R\n"
] | The first and the second samples are shown on the picture. The green place corresponds to Santa Claus' place in the first example, the blue place corresponds to Santa Claus' place in the second example.
In the third sample there are two lanes with four desks in each, and Santa Claus has the fourth place. Thus, his place is in the first lane at the second desk on the right. | [
{
"input": "4 3 9",
"output": "2 2 L"
},
{
"input": "4 3 24",
"output": "4 3 R"
},
{
"input": "2 4 4",
"output": "1 2 R"
},
{
"input": "3 10 24",
"output": "2 2 R"
},
{
"input": "10 3 59",
"output": "10 3 L"
},
{
"input": "10000 10000 160845880",
"... | 77 | 0 | 0 | 604 | |
415 | Mashmokh and Tokens | [
"binary search",
"greedy",
"implementation",
"math"
] | null | null | Bimokh is Mashmokh's boss. For the following *n* days he decided to pay to his workers in a new way. At the beginning of each day he will give each worker a certain amount of tokens. Then at the end of each day each worker can give some of his tokens back to get a certain amount of money. The worker can save the rest of tokens but he can't use it in any other day to get more money. If a worker gives back *w* tokens then he'll get dollars.
Mashmokh likes the tokens however he likes money more. That's why he wants to save as many tokens as possible so that the amount of money he gets is maximal possible each day. He has *n* numbers *x*1,<=*x*2,<=...,<=*x**n*. Number *x**i* is the number of tokens given to each worker on the *i*-th day. Help him calculate for each of *n* days the number of tokens he can save. | The first line of input contains three space-separated integers *n*,<=*a*,<=*b*Β (1<=β€<=*n*<=β€<=105;Β 1<=β€<=*a*,<=*b*<=β€<=109). The second line of input contains *n* space-separated integers *x*1,<=*x*2,<=...,<=*x**n*Β (1<=β€<=*x**i*<=β€<=109). | Output *n* space-separated integers. The *i*-th of them is the number of tokens Mashmokh can save on the *i*-th day. | [
"5 1 4\n12 6 11 9 1\n",
"3 1 2\n1 2 3\n",
"1 1 1\n1\n"
] | [
"0 2 3 1 1 ",
"1 0 1 ",
"0 "
] | none | [
{
"input": "5 1 4\n12 6 11 9 1",
"output": "0 2 3 1 1 "
},
{
"input": "3 1 2\n1 2 3",
"output": "1 0 1 "
},
{
"input": "1 1 1\n1",
"output": "0 "
},
{
"input": "1 1 1000000000\n1000000000",
"output": "0 "
},
{
"input": "1 1 1000000000\n999999999",
"output": "9... | 156 | 4,403,200 | 0 | 606 | |
120 | Spiders | [
"dp",
"greedy",
"trees"
] | null | null | One day mum asked Petya to sort his toys and get rid of some of them. Petya found a whole box of toy spiders. They were quite dear to him and the boy didn't want to throw them away. Petya conjured a cunning plan: he will glue all the spiders together and attach them to the ceiling. Besides, Petya knows that the lower the spiders will hang, the more mum is going to like it and then she won't throw his favourite toys away. Help Petya carry out the plan.
A spider consists of *k* beads tied together by *k*<=-<=1 threads. Each thread connects two different beads, at that any pair of beads that make up a spider is either directly connected by a thread, or is connected via some chain of threads and beads.
Petya may glue spiders together directly gluing their beads. The length of each thread equals 1. The sizes of the beads can be neglected. That's why we can consider that gluing spiders happens by identifying some of the beads (see the picture). Besides, the construction resulting from the gluing process should also represent a spider, that is, it should have the given features.
After Petya glues all spiders together, he measures the length of the resulting toy. The distance between a pair of beads is identified as the total length of the threads that connect these two beads. The length of the resulting construction is the largest distance between all pairs of beads. Petya wants to make the spider whose length is as much as possible.
The picture two shows two spiders from the second sample. We can glue to the bead number 2 of the first spider the bead number 1 of the second spider. The threads in the spiders that form the sequence of threads of maximum lengths are highlighted on the picture. | The first input file line contains one integer *n* (1<=β€<=*n*<=β€<=100) β the number of spiders. Next *n* lines contain the descriptions of each spider: integer *n**i* (2<=β€<=*n**i*<=β€<=100) β the number of beads, then *n**i*<=-<=1 pairs of numbers denoting the numbers of the beads connected by threads. The beads that make up each spider are numbered from 1 to *n**i*. | Print a single number β the length of the required construction. | [
"1\n3 1 2 2 3\n",
"2\n3 1 2 1 3\n4 1 2 2 3 2 4\n",
"2\n5 1 2 2 3 3 4 3 5\n7 3 4 1 2 2 4 4 6 2 7 6 5\n"
] | [
"2\n",
"4\n",
"7\n"
] | none | [
{
"input": "1\n3 1 2 2 3",
"output": "2"
},
{
"input": "2\n3 1 2 1 3\n4 1 2 2 3 2 4",
"output": "4"
},
{
"input": "2\n5 1 2 2 3 3 4 3 5\n7 3 4 1 2 2 4 4 6 2 7 6 5",
"output": "7"
},
{
"input": "3\n3 1 2 2 3\n5 2 5 5 3 3 4 5 1\n9 6 5 5 9 4 8 4 7 2 1 2 6 2 4 6 3",
"output":... | 92 | 512,000 | 0 | 607 | |
863 | Quasi-palindrome | [
"brute force",
"implementation"
] | null | null | Let quasi-palindromic number be such number that adding some leading zeros (possible none) to it produces a palindromic string.
String *t* is called a palindrome, if it reads the same from left to right and from right to left.
For example, numbers 131 and 2010200 are quasi-palindromic, they can be transformed to strings "131" and "002010200", respectively, which are palindromes.
You are given some integer number *x*. Check if it's a quasi-palindromic number. | The first line contains one integer number *x* (1<=β€<=*x*<=β€<=109). This number is given without any leading zeroes. | Print "YES" if number *x* is quasi-palindromic. Otherwise, print "NO" (without quotes). | [
"131\n",
"320\n",
"2010200\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | [
{
"input": "131",
"output": "YES"
},
{
"input": "320",
"output": "NO"
},
{
"input": "2010200",
"output": "YES"
},
{
"input": "1",
"output": "YES"
},
{
"input": "1000000000",
"output": "YES"
},
{
"input": "999999999",
"output": "YES"
},
{
"i... | 62 | 0 | 3 | 608 | |
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 coordinate $x_i$. Sonya is a smart girl, so she does not open two or more hotels in the same city.
Sonya understands that her business needs to be expanded by opening new hotels, so she decides to build one more. She wants to make the minimum distance from this hotel to all others to be equal to $d$. The girl understands that there are many possible locations to construct such a hotel. Thus she wants to know the number of possible coordinates of the cities where she can build a new hotel.
Because Sonya is lounging in a jacuzzi in one of her hotels, she is asking you to find the number of cities where she can build a new hotel so that the minimum distance from the original $n$ hotels to the new one is equal to $d$. | The first line contains two integers $n$ and $d$ ($1\leq n\leq 100$, $1\leq d\leq 10^9$)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 coordinates of Sonya's hotels. | Print the number of cities where Sonya can build a new hotel so that the minimum distance from this hotel to all others is equal to $d$. | [
"4 3\n-3 2 9 16\n",
"5 2\n4 8 11 18 19\n"
] | [
"6\n",
"5\n"
] | In the first example, there are $6$ possible cities where Sonya can build a hotel. These cities have coordinates $-6$, $5$, $6$, $12$, $13$, and $19$.
In the second example, there are $5$ possible cities where Sonya can build a hotel. These cities have coordinates $2$, $6$, $13$, $16$, and $21$. | [
{
"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 | 609 | |
618 | Constellation | [
"geometry",
"implementation"
] | null | null | Cat Noku has obtained a map of the night sky. On this map, he found a constellation with *n* stars numbered from 1 to *n*. For each *i*, the *i*-th star is located at coordinates (*x**i*,<=*y**i*). No two stars are located at the same position.
In the evening Noku is going to take a look at the night sky. He would like to find three distinct stars and form a triangle. The triangle must have positive area. In addition, all other stars must lie strictly outside of this triangle. He is having trouble finding the answer and would like your help. Your job is to find the indices of three stars that would form a triangle that satisfies all the conditions.
It is guaranteed that there is no line such that all stars lie on that line. It can be proven that if the previous condition is satisfied, there exists a solution to this problem. | The first line of the input contains a single integer *n* (3<=β€<=*n*<=β€<=100<=000).
Each of the next *n* lines contains two integers *x**i* and *y**i* (<=-<=109<=β€<=*x**i*,<=*y**i*<=β€<=109).
It is guaranteed that no two stars lie at the same point, and there does not exist a line such that all stars lie on that line. | Print three distinct integers on a single lineΒ β the indices of the three points that form a triangle that satisfies the conditions stated in the problem.
If there are multiple possible answers, you may print any of them. | [
"3\n0 1\n1 0\n1 1\n",
"5\n0 0\n0 2\n2 0\n2 2\n1 1\n"
] | [
"1 2 3\n",
"1 3 5\n"
] | In the first sample, we can print the three indices in any order.
In the second sample, we have the following picture.
Note that the triangle formed by starts 1, 4 and 3 doesn't satisfy the conditions stated in the problem, as point 5 is not strictly outside of this triangle (it lies on it's border). | [
{
"input": "3\n0 1\n1 0\n1 1",
"output": "1 2 3"
},
{
"input": "5\n0 0\n0 2\n2 0\n2 2\n1 1",
"output": "1 3 5"
},
{
"input": "3\n819934317 939682125\n487662889 8614219\n-557136619 382982369",
"output": "1 3 2"
},
{
"input": "10\n25280705 121178189\n219147240 -570920213\n-8298... | 62 | 4,812,800 | 0 | 611 | |
918 | Radio Station | [
"implementation",
"strings"
] | null | null | As the guys fried the radio station facilities, the school principal gave them tasks as a punishment. Dustin's task was to add comments to nginx configuration for school's website. The school has *n* servers. Each server has a name and an ip (names aren't necessarily unique, but ips are). Dustin knows the ip and name of each server. For simplicity, we'll assume that an nginx command is of form "command ip;" where command is a string consisting of English lowercase letter only, and ip is the ip of one of school servers.
Each ip is of form "a.b.c.d" where *a*, *b*, *c* and *d* are non-negative integers less than or equal to 255 (with no leading zeros). The nginx configuration file Dustin has to add comments to has *m* commands. Nobody ever memorizes the ips of servers, so to understand the configuration better, Dustin has to comment the name of server that the ip belongs to at the end of each line (after each command). More formally, if a line is "command ip;" Dustin has to replace it with "command ip; #name" where name is the name of the server with ip equal to ip.
Dustin doesn't know anything about nginx, so he panicked again and his friends asked you to do his task for him. | The first line of input contains two integers *n* and *m* (1<=β€<=*n*,<=*m*<=β€<=1000).
The next *n* lines contain the names and ips of the servers. Each line contains a string name, name of the server and a string ip, ip of the server, separated by space (1<=β€<=|*name*|<=β€<=10, *name* only consists of English lowercase letters). It is guaranteed that all ip are distinct.
The next *m* lines contain the commands in the configuration file. Each line is of form "command ip;" (1<=β€<=|*command*|<=β€<=10, command only consists of English lowercase letters). It is guaranteed that ip belongs to one of the *n* school servers. | Print *m* lines, the commands in the configuration file after Dustin did his task. | [
"2 2\nmain 192.168.0.2\nreplica 192.168.0.1\nblock 192.168.0.1;\nproxy 192.168.0.2;\n",
"3 5\ngoogle 8.8.8.8\ncodeforces 212.193.33.27\nserver 138.197.64.57\nredirect 138.197.64.57;\nblock 8.8.8.8;\ncf 212.193.33.27;\nunblock 8.8.8.8;\ncheck 138.197.64.57;\n"
] | [
"block 192.168.0.1; #replica\nproxy 192.168.0.2; #main\n",
"redirect 138.197.64.57; #server\nblock 8.8.8.8; #google\ncf 212.193.33.27; #codeforces\nunblock 8.8.8.8; #google\ncheck 138.197.64.57; #server\n"
] | none | [
{
"input": "2 2\nmain 192.168.0.2\nreplica 192.168.0.1\nblock 192.168.0.1;\nproxy 192.168.0.2;",
"output": "block 192.168.0.1; #replica\nproxy 192.168.0.2; #main"
},
{
"input": "3 5\ngoogle 8.8.8.8\ncodeforces 212.193.33.27\nserver 138.197.64.57\nredirect 138.197.64.57;\nblock 8.8.8.8;\ncf 212.193.3... | 139 | 102,400 | 3 | 612 | |
352 | Jeff and Periods | [
"implementation",
"sortings"
] | null | null | One day Jeff got hold of an integer sequence *a*1, *a*2, ..., *a**n* of length *n*. The boy immediately decided to analyze the sequence. For that, he needs to find all values of *x*, for which these conditions hold:
- *x* occurs in sequence *a*. - Consider all positions of numbers *x* in the sequence *a* (such *i*, that *a**i*<==<=*x*). These numbers, sorted in the increasing order, must form an arithmetic progression.
Help Jeff, find all *x* that meet the problem conditions. | The first line contains integer *n* (1<=β€<=*n*<=β€<=105). The next line contains integers *a*1, *a*2, ..., *a**n* (1<=β€<=*a**i*<=β€<=105). The numbers are separated by spaces. | In the first line print integer *t* β the number of valid *x*. On each of the next *t* lines print two integers *x* and *p**x*, where *x* is current suitable value, *p**x* is the common difference between numbers in the progression (if *x* occurs exactly once in the sequence, *p**x* must equal 0). Print the pairs in the order of increasing *x*. | [
"1\n2\n",
"8\n1 2 1 3 1 2 1 5\n"
] | [
"1\n2 0\n",
"4\n1 2\n2 4\n3 0\n5 0\n"
] | In the first test 2 occurs exactly once in the sequence, ergo *p*<sub class="lower-index">2</sub>β=β0. | [
{
"input": "1\n2",
"output": "1\n2 0"
},
{
"input": "8\n1 2 1 3 1 2 1 5",
"output": "4\n1 2\n2 4\n3 0\n5 0"
},
{
"input": "3\n1 10 5",
"output": "3\n1 0\n5 0\n10 0"
},
{
"input": "4\n9 9 3 5",
"output": "3\n3 0\n5 0\n9 1"
},
{
"input": "6\n1 2 2 1 1 2",
"outpu... | 30 | 0 | 0 | 613 | |
808 | Card Game | [
"binary search",
"flows",
"graphs"
] | null | null | Digital collectible card games have become very popular recently. So Vova decided to try one of these.
Vova has *n* cards in his collection. Each of these cards is characterised by its power *p**i*, magic number *c**i* and level *l**i*. Vova wants to build a deck with total power not less than *k*, but magic numbers may not allow him to do so β Vova can't place two cards in a deck if the sum of the magic numbers written on these cards is a prime number. Also Vova cannot use a card if its level is greater than the level of Vova's character.
At the moment Vova's character's level is 1. Help Vova to determine the minimum level he needs to reach in order to build a deck with the required total power. | The first line contains two integers *n* and *k* (1<=β€<=*n*<=β€<=100, 1<=β€<=*k*<=β€<=100000).
Then *n* lines follow, each of these lines contains three numbers that represent the corresponding card: *p**i*, *c**i* and *l**i* (1<=β€<=*p**i*<=β€<=1000, 1<=β€<=*c**i*<=β€<=100000, 1<=β€<=*l**i*<=β€<=*n*). | If Vova won't be able to build a deck with required power, print <=-<=1. Otherwise print the minimum level Vova has to reach in order to build a deck. | [
"5 8\n5 5 1\n1 5 4\n4 6 3\n1 12 4\n3 12 1\n",
"3 7\n4 4 1\n5 8 2\n5 3 3\n"
] | [
"4\n",
"2\n"
] | none | [
{
"input": "5 8\n5 5 1\n1 5 4\n4 6 3\n1 12 4\n3 12 1",
"output": "4"
},
{
"input": "3 7\n4 4 1\n5 8 2\n5 3 3",
"output": "2"
},
{
"input": "10 10\n3 3 6\n5 10 4\n4 7 9\n4 9 7\n1 9 4\n1 6 10\n4 10 1\n4 4 6\n2 7 2\n1 5 4",
"output": "4"
},
{
"input": "10 20\n9 4 10\n2 8 9\n9 1 ... | 1,777 | 4,710,400 | 3 | 614 | |
379 | New Year Candles | [
"implementation"
] | null | null | Vasily the Programmer loves romance, so this year he decided to illuminate his room with candles.
Vasily has *a* candles.When Vasily lights up a new candle, it first burns for an hour and then it goes out. Vasily is smart, so he can make *b* went out candles into a new candle. As a result, this new candle can be used like any other new candle.
Now Vasily wonders: for how many hours can his candles light up the room if he acts optimally well? Help him find this number. | The single line contains two integers, *a* and *b* (1<=β€<=*a*<=β€<=1000;Β 2<=β€<=*b*<=β€<=1000). | Print a single integer β the number of hours Vasily can light up the room for. | [
"4 2\n",
"6 3\n"
] | [
"7\n",
"8\n"
] | Consider the first sample. For the first four hours Vasily lights up new candles, then he uses four burned out candles to make two new ones and lights them up. When these candles go out (stop burning), Vasily can make another candle. Overall, Vasily can light up the room for 7 hours. | [
{
"input": "4 2",
"output": "7"
},
{
"input": "6 3",
"output": "8"
},
{
"input": "1000 1000",
"output": "1001"
},
{
"input": "123 5",
"output": "153"
},
{
"input": "1000 2",
"output": "1999"
},
{
"input": "1 2",
"output": "1"
},
{
"input": ... | 46 | 0 | 0 | 615 | |
279 | Books | [
"binary search",
"brute force",
"implementation",
"two pointers"
] | null | null | When Valera has got some free time, he goes to the library to read some books. Today he's got *t* free minutes to read. That's why Valera took *n* books in the library and for each book he estimated the time he is going to need to read it. Let's number the books by integers from 1 to *n*. Valera needs *a**i* minutes to read the *i*-th book.
Valera decided to choose an arbitrary book with number *i* and read the books one by one, starting from this book. In other words, he will first read book number *i*, then book number *i*<=+<=1, then book number *i*<=+<=2 and so on. He continues the process until he either runs out of the free time or finishes reading the *n*-th book. Valera reads each book up to the end, that is, he doesn't start reading the book if he doesn't have enough free time to finish reading it.
Print the maximum number of books Valera can read. | The first line contains two integers *n* and *t* (1<=β€<=*n*<=β€<=105;Β 1<=β€<=*t*<=β€<=109) β the number of books and the number of free minutes Valera's got. The second line contains a sequence of *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=β€<=*a**i*<=β€<=104), where number *a**i* shows the number of minutes that the boy needs to read the *i*-th book. | Print a single integer β the maximum number of books Valera can read. | [
"4 5\n3 1 2 1\n",
"3 3\n2 2 3\n"
] | [
"3\n",
"1\n"
] | none | [
{
"input": "4 5\n3 1 2 1",
"output": "3"
},
{
"input": "3 3\n2 2 3",
"output": "1"
},
{
"input": "1 3\n5",
"output": "0"
},
{
"input": "1 10\n4",
"output": "1"
},
{
"input": "2 10\n6 4",
"output": "2"
},
{
"input": "6 10\n2 3 4 2 1 1",
"output": "4... | 0 | 0 | -1 | 616 | |
2 | Winner | [
"hashing",
"implementation"
] | A. Winner | 1 | 64 | The winner of the card game popular in Berland "Berlogging" is determined according to the following rules. If at the end of the game there is only one player with the maximum number of points, he is the winner. The situation becomes more difficult if the number of such players is more than one. During each round a player gains or loses a particular number of points. In the course of the game the number of points is registered in the line "name score", where name is a player's name, and score is the number of points gained in this round, which is an integer number. If score is negative, this means that the player has lost in the round. So, if two or more players have the maximum number of points (say, it equals to *m*) at the end of the game, than wins the one of them who scored at least *m* points first. Initially each player has 0 points. It's guaranteed that at the end of the game at least one player has a positive number of points. | The first line contains an integer number *n* (1<=<=β€<=<=*n*<=<=β€<=<=1000), *n* is the number of rounds played. Then follow *n* lines, containing the information about the rounds in "name score" format in chronological order, where name is a string of lower-case Latin letters with the length from 1 to 32, and score is an integer number between -1000 and 1000, inclusive. | Print the name of the winner. | [
"3\nmike 3\nandrew 5\nmike 2\n",
"3\nandrew 3\nandrew 2\nmike 5\n"
] | [
"andrew\n",
"andrew\n"
] | none | [
{
"input": "3\nmike 3\nandrew 5\nmike 2",
"output": "andrew"
},
{
"input": "3\nandrew 3\nandrew 2\nmike 5",
"output": "andrew"
},
{
"input": "5\nkaxqybeultn -352\nmgochgrmeyieyskhuourfg -910\nkaxqybeultn 691\nmgochgrmeyieyskhuourfg -76\nkaxqybeultn -303",
"output": "kaxqybeultn"
},... | 92 | 0 | 0 | 619 |
282 | Bit++ | [
"implementation"
] | null | null | The classic programming language of Bitland is Bit++. This language is so peculiar and complicated.
The language is that peculiar as it has exactly one variable, called *x*. Also, there are two operations:
- Operation ++ increases the value of variable *x* by 1. - Operation -- decreases the value of variable *x* by 1.
A statement in language Bit++ is a sequence, consisting of exactly one operation and one variable *x*. The statement is written without spaces, that is, it can only contain characters "+", "-", "X". Executing a statement means applying the operation it contains.
A programme in Bit++ is a sequence of statements, each of them needs to be executed. Executing a programme means executing all the statements it contains.
You're given a programme in language Bit++. The initial value of *x* is 0. Execute the programme and find its final value (the value of the variable when this programme is executed). | The first line contains a single integer *n* (1<=β€<=*n*<=β€<=150) β the number of statements in the programme.
Next *n* lines contain a statement each. Each statement contains exactly one operation (++ or --) and exactly one variable *x* (denoted as letter Β«XΒ»). Thus, there are no empty statements. The operation and the variable can be written in any order. | Print a single integer β the final value of *x*. | [
"1\n++X\n",
"2\nX++\n--X\n"
] | [
"1\n",
"0\n"
] | none | [
{
"input": "1\n++X",
"output": "1"
},
{
"input": "2\nX++\n--X",
"output": "0"
},
{
"input": "3\n++X\n++X\n++X",
"output": "3"
},
{
"input": "2\n--X\n--X",
"output": "-2"
},
{
"input": "5\n++X\n--X\n++X\n--X\n--X",
"output": "-1"
},
{
"input": "28\nX--\... | 46 | 0 | 3 | 621 | |
316 | Special Task | [
"greedy"
] | null | null | Special Agent Smart Beaver works in a secret research department of ABBYY. He's been working there for a long time and is satisfied with his job, as it allows him to eat out in the best restaurants and order the most expensive and exotic wood types there.
The content special agent has got an important task: to get the latest research by British scientists on the English Language. These developments are encoded and stored in a large safe. The Beaver's teeth are strong enough, so the authorities assured that upon arriving at the place the beaver won't have any problems with opening the safe.
And he finishes his aspen sprig and leaves for this important task. Of course, the Beaver arrived at the location without any problems, but alas. He can't open the safe with his strong and big teeth. At this point, the Smart Beaver get a call from the headquarters and learns that opening the safe with the teeth is not necessary, as a reliable source has sent the following information: the safe code consists of digits and has no leading zeroes. There also is a special hint, which can be used to open the safe. The hint is string *s* with the following structure:
- if *s**i* = "?", then the digit that goes *i*-th in the safe code can be anything (between 0 to 9, inclusively); - if *s**i* is a digit (between 0 to 9, inclusively), then it means that there is digit *s**i* on position *i* in code; - if the string contains letters from "A" to "J", then all positions with the same letters must contain the same digits and the positions with distinct letters must contain distinct digits. - The length of the safe code coincides with the length of the hint.
For example, hint "?JGJ9" has such matching safe code variants: "51919", "55959", "12329", "93539" and so on, and has wrong variants such as: "56669", "00111", "03539" and "13666".
After receiving such information, the authorities change the plan and ask the special agents to work quietly and gently and not to try to open the safe by mechanical means, and try to find the password using the given hint.
At a special agent school the Smart Beaver was the fastest in his platoon finding codes for such safes, but now he is not in that shape: the years take their toll ... Help him to determine the number of possible variants of the code to the safe, matching the given hint. After receiving this information, and knowing his own speed of entering codes, the Smart Beaver will be able to determine whether he will have time for tonight's show "Beavers are on the trail" on his favorite TV channel, or he should work for a sleepless night... | The first line contains string *s* β the hint to the safe code. String *s* consists of the following characters: ?, 0-9, A-J. It is guaranteed that the first character of string *s* doesn't equal to character 0.
The input limits for scoring 30 points are (subproblem A1):
- 1<=β€<=|*s*|<=β€<=5.
The input limits for scoring 100 points are (subproblems A1+A2):
- 1<=β€<=|*s*|<=β€<=105.
Here |*s*| means the length of string *s*. | Print the number of codes that match the given hint. | [
"AJ\n",
"1?AA\n"
] | [
"81\n",
"100\n"
] | none | [
{
"input": "AJ",
"output": "81"
},
{
"input": "1?AA",
"output": "100"
},
{
"input": "?",
"output": "9"
},
{
"input": "7",
"output": "1"
},
{
"input": "A",
"output": "9"
},
{
"input": "BBB?",
"output": "90"
},
{
"input": "BC??",
"output"... | 92 | 0 | 0 | 623 | |
84 | Toy Army | [
"math",
"number theory"
] | A. Toy Army | 2 | 256 | The hero of our story, Valera, and his best friend Arcady are still in school, and therefore they spend all the free time playing turn-based strategy "GAGA: Go And Go Again". The gameplay is as follows.
There are two armies on the playing field each of which consists of *n* men (*n* is always even). The current player specifies for each of her soldiers an enemy's soldier he will shoot (a target) and then all the player's soldiers shot simultaneously. This is a game world, and so each soldier shoots perfectly, that is he absolutely always hits the specified target. If an enemy soldier is hit, he will surely die. It may happen that several soldiers had been indicated the same target. Killed soldiers do not participate in the game anymore.
The game "GAGA" consists of three steps: first Valera makes a move, then Arcady, then Valera again and the game ends.
You are asked to calculate the maximum total number of soldiers that may be killed during the game. | The input data consist of a single integer *n* (2<=β€<=*n*<=β€<=108, *n* is even). Please note that before the game starts there are 2*n* soldiers on the fields. | Print a single number β a maximum total number of soldiers that could be killed in the course of the game in three turns. | [
"2\n",
"4\n"
] | [
"3\n",
"6\n"
] | The first sample test:
1) Valera's soldiers 1 and 2 shoot at Arcady's soldier 1.
2) Arcady's soldier 2 shoots at Valera's soldier 1.
3) Valera's soldier 1 shoots at Arcady's soldier 2.
There are 3 soldiers killed in total: Valera's soldier 1 and Arcady's soldiers 1 and 2. | [
{
"input": "2",
"output": "3"
},
{
"input": "4",
"output": "6"
},
{
"input": "6",
"output": "9"
},
{
"input": "8",
"output": "12"
},
{
"input": "10",
"output": "15"
},
{
"input": "140",
"output": "210"
},
{
"input": "500",
"output": "75... | 92 | 0 | 0 | 624 |
513 | Game | [
"constructive algorithms",
"math"
] | null | null | Two players play a simple game. Each player is provided with a box with balls. First player's box contains exactly *n*1 balls and second player's box contains exactly *n*2 balls. In one move first player can take from 1 to *k*1 balls from his box and throw them away. Similarly, the second player can take from 1 to *k*2 balls from his box in his move. Players alternate turns and the first player starts the game. The one who can't make a move loses. Your task is to determine who wins if both players play optimally. | The first line contains four integers *n*1,<=*n*2,<=*k*1,<=*k*2. All numbers in the input are from 1 to 50.
This problem doesn't have subproblems. You will get 3 points for the correct submission. | Output "First" if the first player wins and "Second" otherwise. | [
"2 2 1 2\n",
"2 1 1 1\n"
] | [
"Second\n",
"First\n"
] | Consider the first sample test. Each player has a box with 2 balls. The first player draws a single ball from his box in one move and the second player can either take 1 or 2 balls from his box in one move. No matter how the first player acts, the second player can always win if he plays wisely. | [
{
"input": "2 2 1 2",
"output": "Second"
},
{
"input": "2 1 1 1",
"output": "First"
},
{
"input": "5 7 4 1",
"output": "Second"
},
{
"input": "5 7 1 4",
"output": "Second"
},
{
"input": "5 7 10 10",
"output": "Second"
},
{
"input": "5 7 1 10",
"out... | 109 | 0 | 3 | 626 | |
177 | Rectangular Game | [
"number theory"
] | null | null | The Smart Beaver from ABBYY decided to have a day off. But doing nothing the whole day turned out to be too boring, and he decided to play a game with pebbles. Initially, the Beaver has *n* pebbles. He arranges them in *a* equal rows, each row has *b* pebbles (*a*<=><=1). Note that the Beaver must use all the pebbles he has, i. e. *n*<==<=*a*Β·*b*.
Once the Smart Beaver has arranged the pebbles, he takes back any of the resulting rows (that is, *b* pebbles) and discards all other pebbles. Then he arranges all his pebbles again (possibly choosing other values of *a* and *b*) and takes back one row, and so on. The game continues until at some point the Beaver ends up with exactly one pebble.
The game process can be represented as a finite sequence of integers *c*1,<=...,<=*c**k*, where:
- *c*1<==<=*n* - *c**i*<=+<=1 is the number of pebbles that the Beaver ends up with after the *i*-th move, that is, the number of pebbles in a row after some arrangement of *c**i* pebbles (1<=β€<=*i*<=<<=*k*). Note that *c**i*<=><=*c**i*<=+<=1. - *c**k*<==<=1
The result of the game is the sum of numbers *c**i*. You are given *n*. Find the maximum possible result of the game. | The single line of the input contains a single integer *n* β the initial number of pebbles the Smart Beaver has.
The input limitations for getting 30 points are:
- 2<=β€<=*n*<=β€<=50
The input limitations for getting 100 points are:
- 2<=β€<=*n*<=β€<=109 | Print a single number β the maximum possible result of the game. | [
"10\n",
"8\n"
] | [
"16\n",
"15\n"
] | Consider the first example (*c*<sub class="lower-index">1</sub>β=β10). The possible options for the game development are:
- Arrange the pebbles in 10 rows, one pebble per row. Then *c*<sub class="lower-index">2</sub>β=β1, and the game ends after the first move with the result of 11. - Arrange the pebbles in 5 rows, two pebbles per row. Then *c*<sub class="lower-index">2</sub>β=β2, and the game continues. During the second move we have two pebbles which can be arranged in a unique way (remember that you are not allowed to put all the pebbles in the same row!) β 2 rows, one pebble per row. *c*<sub class="lower-index">3</sub>β=β1, and the game ends with the result of 13. - Finally, arrange the pebbles in two rows, five pebbles per row. The same logic leads us to *c*<sub class="lower-index">2</sub>β=β5,β*c*<sub class="lower-index">3</sub>β=β1, and the game ends with the result of 16 β the maximum possible result. | [
{
"input": "10",
"output": "16"
},
{
"input": "8",
"output": "15"
},
{
"input": "4",
"output": "7"
},
{
"input": "36",
"output": "67"
},
{
"input": "32",
"output": "63"
},
{
"input": "46",
"output": "70"
},
{
"input": "6",
"output": "10... | 2,000 | 102,400 | 0 | 630 | |
774 | Bars | [
"*special",
"binary search"
] | null | null | Polycarp's workday lasts exactly $n$ minutes. He loves chocolate bars and can eat one bar in one minute. Today Polycarp has $k$ bars at the beginning of the workday.
In some minutes of the workday Polycarp has important things to do and in such minutes he is not able to eat a chocolate bar. In other minutes he can either eat or not eat one chocolate bar. It is guaranteed, that in the first and in the last minutes of the workday Polycarp has no important things to do and he will always eat bars in this minutes to gladden himself at the begining and at the end of the workday. Also it is guaranteed, that $k$ is strictly greater than $1$.
Your task is to determine such an order of eating chocolate bars that the maximum break time between eating bars is as minimum as possible.
Consider that Polycarp eats a bar in the minute $x$ and the next bar in the minute $y$ ($x < y$). Then the break time is equal to $y - x - 1$ minutes. It is not necessary for Polycarp to eat all bars he has. | The first line contains two integers $n$ and $k$ ($2 \le n \le 200\,000$, $2 \le k \le n$) β the length of the workday in minutes and the number of chocolate bars, which Polycarp has in the beginning of the workday.
The second line contains the string with length $n$ consisting of zeros and ones. If the $i$-th symbol in the string equals to zero, Polycarp has no important things to do in the minute $i$ and he can eat a chocolate bar. In the other case, Polycarp is busy in the minute $i$ and can not eat a chocolate bar. It is guaranteed, that the first and the last characters of the string are equal to zero, and Polycarp always eats chocolate bars in these minutes. | Print the minimum possible break in minutes between eating chocolate bars. | [
"3 3\n010\n",
"8 3\n01010110\n"
] | [
"1\n",
"3\n"
] | In the first example Polycarp can not eat the chocolate bar in the second minute, so the time of the break equals to one minute.
In the second example Polycarp will eat bars in the minutes $1$ and $8$ anyway, also he needs to eat the chocolate bar in the minute $5$, so that the time of the maximum break will be equal to $3$ minutes. | [
{
"input": "3 3\n010",
"output": "1"
},
{
"input": "8 3\n01010110",
"output": "3"
},
{
"input": "9 5\n001100110",
"output": "2"
},
{
"input": "2 2\n00",
"output": "0"
},
{
"input": "3 2\n010",
"output": "1"
},
{
"input": "3 2\n000",
"output": "1"
... | 2,000 | 1,843,200 | 0 | 635 | |
359 | Table | [
"constructive algorithms",
"greedy",
"implementation"
] | null | null | Simon has a rectangular table consisting of *n* rows and *m* columns. Simon numbered the rows of the table from top to bottom starting from one and the columns β from left to right starting from one. We'll represent the cell on the *x*-th row and the *y*-th column as a pair of numbers (*x*,<=*y*). The table corners are cells: (1,<=1), (*n*,<=1), (1,<=*m*), (*n*,<=*m*).
Simon thinks that some cells in this table are good. Besides, it's known that no good cell is the corner of the table.
Initially, all cells of the table are colorless. Simon wants to color all cells of his table. In one move, he can choose any good cell of table (*x*1,<=*y*1), an arbitrary corner of the table (*x*2,<=*y*2) and color all cells of the table (*p*,<=*q*), which meet both inequations: *min*(*x*1,<=*x*2)<=β€<=*p*<=β€<=*max*(*x*1,<=*x*2), *min*(*y*1,<=*y*2)<=β€<=*q*<=β€<=*max*(*y*1,<=*y*2).
Help Simon! Find the minimum number of operations needed to color all cells of the table. Note that you can color one cell multiple times. | The first line contains exactly two integers *n*, *m* (3<=β€<=*n*,<=*m*<=β€<=50).
Next *n* lines contain the description of the table cells. Specifically, the *i*-th line contains *m* space-separated integers *a**i*1,<=*a**i*2,<=...,<=*a**im*. If *a**ij* equals zero, then cell (*i*,<=*j*) isn't good. Otherwise *a**ij* equals one. It is guaranteed that at least one cell is good. It is guaranteed that no good cell is a corner. | Print a single number β the minimum number of operations Simon needs to carry out his idea. | [
"3 3\n0 0 0\n0 1 0\n0 0 0\n",
"4 3\n0 0 0\n0 0 1\n1 0 0\n0 0 0\n"
] | [
"4\n",
"2\n"
] | In the first sample, the sequence of operations can be like this:
- For the first time you need to choose cell (2,β2) and corner (1,β1). - For the second time you need to choose cell (2,β2) and corner (3,β3). - For the third time you need to choose cell (2,β2) and corner (3,β1). - For the fourth time you need to choose cell (2,β2) and corner (1,β3).
In the second sample the sequence of operations can be like this:
- For the first time you need to choose cell (3,β1) and corner (4,β3). - For the second time you need to choose cell (2,β3) and corner (1,β1). | [
{
"input": "3 3\n0 0 0\n0 1 0\n0 0 0",
"output": "4"
},
{
"input": "4 3\n0 0 0\n0 0 1\n1 0 0\n0 0 0",
"output": "2"
},
{
"input": "50 4\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 1 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0\n0 0 0 0... | 77 | 5,529,600 | 3 | 636 | |
0 | none | [
"none"
] | null | null | This is an interactive problem.
Natasha is going to fly to Mars. Finally, Natasha sat in the rocket. She flies, flies... but gets bored. She wishes to arrive to Mars already! So she decides to find something to occupy herself. She couldn't think of anything better to do than to calculate the distance to the red planet.
Let's define $x$ as the distance to Mars. Unfortunately, Natasha does not know $x$. But it is known that $1 \le x \le m$, where Natasha knows the number $m$. Besides, $x$ and $m$ are positive integers.
Natasha can ask the rocket questions. Every question is an integer $y$ ($1 \le y \le m$). The correct answer to the question is $-1$, if $x<y$, $0$, if $x=y$, and $1$, if $x>y$. But the rocket is brokenΒ β it does not always answer correctly. Precisely: let the correct answer to the current question be equal to $t$, then, if the rocket answers this question correctly, then it will answer $t$, otherwise it will answer $-t$.
In addition, the rocket has a sequence $p$ of length $n$. Each element of the sequence is either $0$ or $1$. The rocket processes this sequence in the cyclic order, that is $1$-st element, $2$-nd, $3$-rd, $\ldots$, $(n-1)$-th, $n$-th, $1$-st, $2$-nd, $3$-rd, $\ldots$, $(n-1)$-th, $n$-th, $\ldots$. If the current element is $1$, the rocket answers correctly, if $0$Β β lies. Natasha doesn't know the sequence $p$, but she knows its lengthΒ β $n$.
You can ask the rocket no more than $60$ questions.
Help Natasha find the distance to Mars. Assume, that the distance to Mars does not change while Natasha is asking questions.
Your solution will not be accepted, if it does not receive an answer $0$ from the rocket (even if the distance to Mars is uniquely determined by the already received rocket's answers). | The first line contains two integers $m$ and $n$ ($1 \le m \le 10^9$, $1 \le n \le 30$)Β β the maximum distance to Mars and the number of elements in the sequence $p$. | none | [
"5 2\n1\n-1\n-1\n1\n0\n"
] | [
"1\n2\n4\n5\n3\n"
] | In the example, hacking would look like this:
5 2 3
1 0
This means that the current distance to Mars is equal to $3$, Natasha knows that it does not exceed $5$, and the rocket answers in order: correctly, incorrectly, correctly, incorrectly ...
Really:
on the first query ($1$) the correct answer is $1$, the rocket answered correctly: $1$;
on the second query ($2$) the correct answer is $1$, the rocket answered incorrectly: $-1$;
on the third query ($4$) the correct answer is $-1$, the rocket answered correctly: $-1$;
on the fourth query ($5$) the correct answer is $-1$, the rocket answered incorrectly: $1$;
on the fifth query ($3$) the correct and incorrect answer is $0$. | [
{
"input": "5 2 3\n1 0",
"output": "3 queries, x=3"
},
{
"input": "1 1 1\n1",
"output": "1 queries, x=1"
},
{
"input": "3 2 3\n1 0",
"output": "4 queries, x=3"
},
{
"input": "6 3 5\n1 1 1",
"output": "5 queries, x=5"
},
{
"input": "10 4 3\n0 0 1 0",
"output": ... | 108 | 102,400 | -1 | 637 | |
414 | Mashmokh and Numbers | [
"constructive algorithms",
"number theory"
] | null | null | It's holiday. Mashmokh and his boss, Bimokh, are playing a game invented by Mashmokh.
In this game Mashmokh writes sequence of *n* distinct integers on the board. Then Bimokh makes several (possibly zero) moves. On the first move he removes the first and the second integer from from the board, on the second move he removes the first and the second integer of the remaining sequence from the board, and so on. Bimokh stops when the board contains less than two numbers. When Bimokh removes numbers *x* and *y* from the board, he gets *gcd*(*x*,<=*y*) points. At the beginning of the game Bimokh has zero points.
Mashmokh wants to win in the game. For this reason he wants his boss to get exactly *k* points in total. But the guy doesn't know how choose the initial sequence in the right way.
Please, help him. Find *n* distinct integers *a*1,<=*a*2,<=...,<=*a**n* such that his boss will score exactly *k* points. Also Mashmokh can't memorize too huge numbers. Therefore each of these integers must be at most 109. | The first line of input contains two space-separated integers *n*,<=*k*Β (1<=β€<=*n*<=β€<=105;Β 0<=β€<=*k*<=β€<=108). | If such sequence doesn't exist output -1 otherwise output *n* distinct space-separated integers *a*1,<=*a*2,<=...,<=*a**n*Β (1<=β€<=*a**i*<=β€<=109). | [
"5 2\n",
"5 3",
"7 2\n"
] | [
"1 2 3 4 5\n",
"2 4 3 7 1",
"-1\n"
] | *gcd*(*x*,β*y*) is greatest common divisor of *x* and *y*. | [
{
"input": "5 2",
"output": "1 2 3 4 5"
},
{
"input": "5 3",
"output": "2 4 5 6 7"
},
{
"input": "7 2",
"output": "-1"
},
{
"input": "1 1",
"output": "-1"
},
{
"input": "2 0",
"output": "-1"
},
{
"input": "1 10",
"output": "-1"
},
{
"input"... | 124 | 0 | 0 | 639 | |
299 | Ksusha the Squirrel | [
"brute force",
"implementation"
] | null | null | Ksusha the Squirrel is standing at the beginning of a straight road, divided into *n* sectors. The sectors are numbered 1 to *n*, from left to right. Initially, Ksusha stands in sector 1.
Ksusha wants to walk to the end of the road, that is, get to sector *n*. Unfortunately, there are some rocks on the road. We know that Ksusha hates rocks, so she doesn't want to stand in sectors that have rocks.
Ksusha the squirrel keeps fit. She can jump from sector *i* to any of the sectors *i*<=+<=1,<=*i*<=+<=2,<=...,<=*i*<=+<=*k*.
Help Ksusha! Given the road description, say if she can reach the end of the road (note, she cannot stand on a rock)? | The first line contains two integers *n* and *k* (2<=β€<=*n*<=β€<=3Β·105,<=1<=β€<=*k*<=β€<=3Β·105). The next line contains *n* characters β the description of the road: the *i*-th character equals ".", if the *i*-th sector contains no rocks. Otherwise, it equals "#".
It is guaranteed that the first and the last characters equal ".". | Print "YES" (without the quotes) if Ksusha can reach the end of the road, otherwise print "NO" (without the quotes). | [
"2 1\n..\n",
"5 2\n.#.#.\n",
"7 3\n.#.###.\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | none | [
{
"input": "2 1\n..",
"output": "YES"
},
{
"input": "5 2\n.#.#.",
"output": "YES"
},
{
"input": "7 3\n.#.###.",
"output": "NO"
},
{
"input": "2 200\n..",
"output": "YES"
},
{
"input": "2 1\n..",
"output": "YES"
},
{
"input": "2 2\n..",
"output": "Y... | 124 | 0 | 0 | 644 | |
629 | Far Relativeβs Birthday Cake | [
"brute force",
"combinatorics",
"constructive algorithms",
"implementation"
] | null | null | Door's family is going celebrate Famil Doors's birthday party. They love Famil Door so they are planning to make his birthday cake weird!
The cake is a *n*<=Γ<=*n* square consisting of equal squares with side length 1. Each square is either empty or consists of a single chocolate. They bought the cake and randomly started to put the chocolates on the cake. The value of Famil Door's happiness will be equal to the number of pairs of cells with chocolates that are in the same row or in the same column of the cake. Famil Doors's family is wondering what is the amount of happiness of Famil going to be?
Please, note that any pair can be counted no more than once, as two different cells can't share both the same row and the same column. | In the first line of the input, you are given a single integer *n* (1<=β€<=*n*<=β€<=100)Β β the length of the side of the cake.
Then follow *n* lines, each containing *n* characters. Empty cells are denoted with '.', while cells that contain chocolates are denoted by 'C'. | Print the value of Famil Door's happiness, i.e. the number of pairs of chocolate pieces that share the same row or the same column. | [
"3\n.CC\nC..\nC.C\n",
"4\nCC..\nC..C\n.CC.\n.CC.\n"
] | [
"4\n",
"9\n"
] | If we number rows from top to bottom and columns from left to right, then, pieces that share the same row in the first sample are:
1. (1,β2) and (1,β3) 1. (3,β1) and (3,β3) 1. (2,β1) and (3,β1) 1. (1,β3) and (3,β3) | [
{
"input": "3\n.CC\nC..\nC.C",
"output": "4"
},
{
"input": "4\nCC..\nC..C\n.CC.\n.CC.",
"output": "9"
},
{
"input": "5\n.CCCC\nCCCCC\n.CCC.\nCC...\n.CC.C",
"output": "46"
},
{
"input": "7\n.CC..CC\nCC.C..C\nC.C..C.\nC...C.C\nCCC.CCC\n.CC...C\n.C.CCC.",
"output": "84"
},... | 140 | 307,200 | 3 | 645 | |
816 | Karen and Coffee | [
"binary search",
"data structures",
"implementation"
] | null | null | To stay woke and attentive during classes, Karen needs some coffee!
Karen, a coffee aficionado, wants to know the optimal temperature for brewing the perfect cup of coffee. Indeed, she has spent some time reading several recipe books, including the universally acclaimed "The Art of the Covfefe".
She knows *n* coffee recipes. The *i*-th recipe suggests that coffee should be brewed between *l**i* and *r**i* degrees, inclusive, to achieve the optimal taste.
Karen thinks that a temperature is admissible if at least *k* recipes recommend it.
Karen has a rather fickle mind, and so she asks *q* questions. In each question, given that she only wants to prepare coffee with a temperature between *a* and *b*, inclusive, can you tell her how many admissible integer temperatures fall within the range? | The first line of input contains three integers, *n*, *k* (1<=β€<=*k*<=β€<=*n*<=β€<=200000), and *q* (1<=β€<=*q*<=β€<=200000), the number of recipes, the minimum number of recipes a certain temperature must be recommended by to be admissible, and the number of questions Karen has, respectively.
The next *n* lines describe the recipes. Specifically, the *i*-th line among these contains two integers *l**i* and *r**i* (1<=β€<=*l**i*<=β€<=*r**i*<=β€<=200000), describing that the *i*-th recipe suggests that the coffee be brewed between *l**i* and *r**i* degrees, inclusive.
The next *q* lines describe the questions. Each of these lines contains *a* and *b*, (1<=β€<=*a*<=β€<=*b*<=β€<=200000), describing that she wants to know the number of admissible integer temperatures between *a* and *b* degrees, inclusive. | For each question, output a single integer on a line by itself, the number of admissible integer temperatures between *a* and *b* degrees, inclusive. | [
"3 2 4\n91 94\n92 97\n97 99\n92 94\n93 97\n95 96\n90 100\n",
"2 1 1\n1 1\n200000 200000\n90 100\n"
] | [
"3\n3\n0\n4\n",
"0\n"
] | In the first test case, Karen knows 3 recipes.
1. The first one recommends brewing the coffee between 91 and 94 degrees, inclusive. 1. The second one recommends brewing the coffee between 92 and 97 degrees, inclusive. 1. The third one recommends brewing the coffee between 97 and 99 degrees, inclusive.
A temperature is admissible if at least 2 recipes recommend it.
She asks 4 questions.
In her first question, she wants to know the number of admissible integer temperatures between 92 and 94 degrees, inclusive. There are 3: 92, 93 and 94 degrees are all admissible.
In her second question, she wants to know the number of admissible integer temperatures between 93 and 97 degrees, inclusive. There are 3: 93, 94 and 97 degrees are all admissible.
In her third question, she wants to know the number of admissible integer temperatures between 95 and 96 degrees, inclusive. There are none.
In her final question, she wants to know the number of admissible integer temperatures between 90 and 100 degrees, inclusive. There are 4: 92, 93, 94 and 97 degrees are all admissible.
In the second test case, Karen knows 2 recipes.
1. The first one, "wikiHow to make Cold Brew Coffee", recommends brewing the coffee at exactly 1 degree. 1. The second one, "What good is coffee that isn't brewed at at least 36.3306 times the temperature of the surface of the sun?", recommends brewing the coffee at exactly 200000 degrees.
A temperature is admissible if at least 1 recipe recommends it.
In her first and only question, she wants to know the number of admissible integer temperatures that are actually reasonable. There are none. | [
{
"input": "3 2 4\n91 94\n92 97\n97 99\n92 94\n93 97\n95 96\n90 100",
"output": "3\n3\n0\n4"
},
{
"input": "2 1 1\n1 1\n200000 200000\n90 100",
"output": "0"
},
{
"input": "1 1 1\n1 1\n1 1",
"output": "1"
},
{
"input": "1 1 1\n200000 200000\n200000 200000",
"output": "1"
... | 998 | 85,913,600 | 3 | 646 | |
708 | Letters Cyclic Shift | [
"constructive algorithms",
"greedy",
"implementation",
"strings"
] | null | null | You are given a non-empty string *s* consisting of lowercase English letters. You have to pick exactly one non-empty substring of *s* and shift all its letters 'z' 'y' 'x' 'b' 'a' 'z'. In other words, each character is replaced with the previous character of English alphabet and 'a' is replaced with 'z'.
What is the lexicographically minimum string that can be obtained from *s* by performing this shift exactly once? | The only line of the input contains the string *s* (1<=β€<=|*s*|<=β€<=100<=000) consisting of lowercase English letters. | Print the lexicographically minimum string that can be obtained from *s* by shifting letters of exactly one non-empty substring. | [
"codeforces\n",
"abacaba\n"
] | [
"bncdenqbdr\n",
"aaacaba\n"
] | String *s* is lexicographically smaller than some other string *t* of the same length if there exists some 1ββ€β*i*ββ€β|*s*|, such that *s*<sub class="lower-index">1</sub>β=β*t*<sub class="lower-index">1</sub>,β*s*<sub class="lower-index">2</sub>β=β*t*<sub class="lower-index">2</sub>,β...,β*s*<sub class="lower-index">*i*β-β1</sub>β=β*t*<sub class="lower-index">*i*β-β1</sub>, and *s*<sub class="lower-index">*i*</sub>β<β*t*<sub class="lower-index">*i*</sub>. | [
{
"input": "codeforces",
"output": "bncdenqbdr"
},
{
"input": "abacaba",
"output": "aaacaba"
},
{
"input": "babbbabaababbaa",
"output": "aabbbabaababbaa"
},
{
"input": "bcbacaabcababaccccaaaabacbbcbbaa",
"output": "abaacaabcababaccccaaaabacbbcbbaa"
},
{
"input": "... | 93 | 307,200 | 0 | 647 | |
235 | LCM Challenge | [
"number theory"
] | null | null | Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it.
But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find the maximum possible least common multiple of these three integers? | The first line contains an integer *n* (1<=β€<=*n*<=β€<=106) β the *n* mentioned in the statement. | Print a single integer β the maximum possible LCM of three not necessarily distinct positive integers that are not greater than *n*. | [
"9\n",
"7\n"
] | [
"504\n",
"210\n"
] | The least common multiple of some positive integers is the least positive integer which is multiple for each of them.
The result may become very large, 32-bit integer won't be enough. So using 64-bit integers is recommended.
For the last example, we can chose numbers 7, 6, 5 and the LCM of them is 7Β·6Β·5β=β210. It is the maximum value we can get. | [
{
"input": "9",
"output": "504"
},
{
"input": "7",
"output": "210"
},
{
"input": "1",
"output": "1"
},
{
"input": "5",
"output": "60"
},
{
"input": "6",
"output": "60"
},
{
"input": "33",
"output": "32736"
},
{
"input": "21",
"output": ... | 560 | 30,515,200 | 3 | 649 | |
29 | Traffic Lights | [
"implementation"
] | B. Traffic Lights | 2 | 256 | A car moves from point A to point B at speed *v* meters per second. The action takes place on the X-axis. At the distance *d* meters from A there are traffic lights. Starting from time 0, for the first *g* seconds the green light is on, then for the following *r* seconds the red light is on, then again the green light is on for the *g* seconds, and so on.
The car can be instantly accelerated from 0 to *v* and vice versa, can instantly slow down from the *v* to 0. Consider that it passes the traffic lights at the green light instantly. If the car approaches the traffic lights at the moment when the red light has just turned on, it doesn't have time to pass it. But if it approaches the traffic lights at the moment when the green light has just turned on, it can move. The car leaves point A at the time 0.
What is the minimum time for the car to get from point A to point B without breaking the traffic rules? | The first line contains integers *l*, *d*, *v*, *g*, *r* (1<=β€<=*l*,<=*d*,<=*v*,<=*g*,<=*r*<=β€<=1000,<=*d*<=<<=*l*) β the distance between A and B (in meters), the distance from A to the traffic lights, car's speed, the duration of green light and the duration of red light. | Output a single number β the minimum time that the car needs to get from point A to point B. Your output must have relative or absolute error less than 10<=-<=6. | [
"2 1 3 4 5\n",
"5 4 3 1 1\n"
] | [
"0.66666667\n",
"2.33333333\n"
] | none | [
{
"input": "2 1 3 4 5",
"output": "0.66666667"
},
{
"input": "5 4 3 1 1",
"output": "2.33333333"
},
{
"input": "862 33 604 888 704",
"output": "1.42715232"
},
{
"input": "458 251 49 622 472",
"output": "9.34693878"
},
{
"input": "772 467 142 356 889",
"output"... | 122 | 0 | -1 | 650 |
706 | Interesting drink | [
"binary search",
"dp",
"implementation"
] | null | null | Vasiliy likes to rest after a hard work, so you may often meet him in some bar nearby. As all programmers do, he loves the famous drink "Beecola", which can be bought in *n* different shops in the city. It's known that the price of one bottle in the shop *i* is equal to *x**i* coins.
Vasiliy plans to buy his favorite drink for *q* consecutive days. He knows, that on the *i*-th day he will be able to spent *m**i* coins. Now, for each of the days he want to know in how many different shops he can buy a bottle of "Beecola". | The first line of the input contains a single integer *n* (1<=β€<=*n*<=β€<=100<=000)Β β the number of shops in the city that sell Vasiliy's favourite drink.
The second line contains *n* integers *x**i* (1<=β€<=*x**i*<=β€<=100<=000)Β β prices of the bottles of the drink in the *i*-th shop.
The third line contains a single integer *q* (1<=β€<=*q*<=β€<=100<=000)Β β the number of days Vasiliy plans to buy the drink.
Then follow *q* lines each containing one integer *m**i* (1<=β€<=*m**i*<=β€<=109)Β β the number of coins Vasiliy can spent on the *i*-th day. | Print *q* integers. The *i*-th of them should be equal to the number of shops where Vasiliy will be able to buy a bottle of the drink on the *i*-th day. | [
"5\n3 10 8 6 11\n4\n1\n10\n3\n11\n"
] | [
"0\n4\n1\n5\n"
] | On the first day, Vasiliy won't be able to buy a drink in any of the shops.
On the second day, Vasiliy can buy a drink in the shops 1, 2, 3 and 4.
On the third day, Vasiliy can buy a drink only in the shop number 1.
Finally, on the last day Vasiliy can buy a drink in any shop. | [
{
"input": "5\n3 10 8 6 11\n4\n1\n10\n3\n11",
"output": "0\n4\n1\n5"
},
{
"input": "5\n868 987 714 168 123\n10\n424\n192\n795\n873\n117\n914\n735\n158\n631\n471",
"output": "2\n2\n3\n4\n0\n4\n3\n1\n2\n2"
},
{
"input": "3\n435 482 309\n7\n245\n241\n909\n745\n980\n29\n521",
"output": "... | 951 | 13,107,200 | 3 | 651 | |
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) for each day is 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, and then cycle repeats, thus after the second 1 again goes 0.
As there is no internet in the countryside, Vitya has been watching the moon for *n* consecutive days and for each of these days he wrote down the size of the visible part of the moon. Help him find out whether the moon will be up or down next day, or this cannot be determined by the data he has. | The first line of the input contains a single integer *n* (1<=β€<=*n*<=β€<=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<=β€<=*a**i*<=β€<=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 will happen with the moon, print -1. | [
"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 the answer is -1. | [
{
"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... | 156 | 0 | 0 | 653 | |
761 | Dasha and friends | [
"brute force",
"implementation",
"math"
] | null | null | Running with barriers on the circle track is very popular in the country where Dasha lives, so no wonder that on her way to classes she saw the following situation:
The track is the circle with length *L*, in distinct points of which there are *n* barriers. Athlete always run the track in counterclockwise direction if you look on him from above. All barriers are located at integer distance from each other along the track.
Her friends the parrot Kefa and the leopard Sasha participated in competitions and each of them ran one lap. Each of the friends started from some integral point on the track. Both friends wrote the distance from their start along the track to each of the *n* barriers. Thus, each of them wrote *n* integers in the ascending order, each of them was between 0 and *L*<=-<=1, inclusively.
There are several tracks in the country, all of them have same length and same number of barriers, but the positions of the barriers can differ among different tracks. Now Dasha is interested if it is possible that Kefa and Sasha ran the same track or they participated on different tracks.
Write the program which will check that Kefa's and Sasha's tracks coincide (it means that one can be obtained from the other by changing the start position). Note that they always run the track in one direction β counterclockwise, if you look on a track from above. | The first line contains two integers *n* and *L* (1<=β€<=*n*<=β€<=50, *n*<=β€<=*L*<=β€<=100) β the number of barriers on a track and its length.
The second line contains *n* distinct integers in the ascending order β the distance from Kefa's start to each barrier in the order of its appearance. All integers are in the range from 0 to *L*<=-<=1 inclusively.
The second line contains *n* distinct integers in the ascending order β the distance from Sasha's start to each barrier in the order of its overcoming. All integers are in the range from 0 to *L*<=-<=1 inclusively. | Print "YES" (without quotes), if Kefa and Sasha ran the coinciding tracks (it means that the position of all barriers coincides, if they start running from the same points on the track). Otherwise print "NO" (without quotes). | [
"3 8\n2 4 6\n1 5 7\n",
"4 9\n2 3 5 8\n0 1 3 6\n",
"2 4\n1 3\n1 2\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | The first test is analyzed in the statement. | [
{
"input": "3 8\n2 4 6\n1 5 7",
"output": "YES"
},
{
"input": "4 9\n2 3 5 8\n0 1 3 6",
"output": "YES"
},
{
"input": "2 4\n1 3\n1 2",
"output": "NO"
},
{
"input": "5 9\n0 2 5 6 7\n1 3 6 7 8",
"output": "YES"
},
{
"input": "5 60\n7 26 27 40 59\n14 22 41 42 55",
... | 77 | 0 | 0 | 654 | |
371 | Hamburgers | [
"binary search",
"brute force"
] | null | null | Polycarpus loves hamburgers very much. He especially adores the hamburgers he makes with his own hands. Polycarpus thinks that there are only three decent ingredients to make hamburgers from: a bread, sausage and cheese. He writes down the recipe of his favorite "Le Hamburger de Polycarpus" as a string of letters 'B' (bread), 'S' (sausage) ΠΈ 'C' (cheese). The ingredients in the recipe go from bottom to top, for example, recipe "ΠSCBS" represents the hamburger where the ingredients go from bottom to top as bread, sausage, cheese, bread and sausage again.
Polycarpus has *n**b* pieces of bread, *n**s* pieces of sausage and *n**c* pieces of cheese in the kitchen. Besides, the shop nearby has all three ingredients, the prices are *p**b* rubles for a piece of bread, *p**s* for a piece of sausage and *p**c* for a piece of cheese.
Polycarpus has *r* rubles and he is ready to shop on them. What maximum number of hamburgers can he cook? You can assume that Polycarpus cannot break or slice any of the pieces of bread, sausage or cheese. Besides, the shop has an unlimited number of pieces of each ingredient. | The first line of the input contains a non-empty string that describes the recipe of "Le Hamburger de Polycarpus". The length of the string doesn't exceed 100, the string contains only letters 'B' (uppercase English B), 'S' (uppercase English S) and 'C' (uppercase English C).
The second line contains three integers *n**b*, *n**s*, *n**c* (1<=β€<=*n**b*,<=*n**s*,<=*n**c*<=β€<=100) β the number of the pieces of bread, sausage and cheese on Polycarpus' kitchen. The third line contains three integers *p**b*, *p**s*, *p**c* (1<=β€<=*p**b*,<=*p**s*,<=*p**c*<=β€<=100) β the price of one piece of bread, sausage and cheese in the shop. Finally, the fourth line contains integer *r* (1<=β€<=*r*<=β€<=1012) β the number of rubles Polycarpus has.
Please, do not write the %lld specifier to read or write 64-bit integers in Π‘++. It is preferred to use the cin, cout streams or the %I64d specifier. | Print the maximum number of hamburgers Polycarpus can make. If he can't make any hamburger, print 0. | [
"BBBSSC\n6 4 1\n1 2 3\n4\n",
"BBC\n1 10 1\n1 10 1\n21\n",
"BSC\n1 1 1\n1 1 3\n1000000000000\n"
] | [
"2\n",
"7\n",
"200000000001\n"
] | none | [
{
"input": "BBBSSC\n6 4 1\n1 2 3\n4",
"output": "2"
},
{
"input": "BBC\n1 10 1\n1 10 1\n21",
"output": "7"
},
{
"input": "BSC\n1 1 1\n1 1 3\n1000000000000",
"output": "200000000001"
},
{
"input": "B\n1 1 1\n1 1 1\n381",
"output": "382"
},
{
"input": "BSC\n3 5 6\n7... | 15 | 0 | 0 | 655 | |
182 | Common Divisors | [
"brute force",
"hashing",
"implementation",
"math",
"strings"
] | null | null | Vasya has recently learned at school what a number's divisor is and decided to determine a string's divisor. Here is what he came up with.
String *a* is the divisor of string *b* if and only if there exists a positive integer *x* such that if we write out string *a* consecutively *x* times, we get string *b*. For example, string "abab" has two divisors β "ab" and "abab".
Now Vasya wants to write a program that calculates the number of common divisors of two strings. Please help him. | The first input line contains a non-empty string *s*1.
The second input line contains a non-empty string *s*2.
Lengths of strings *s*1 and *s*2 are positive and do not exceed 105. The strings only consist of lowercase Latin letters. | Print the number of common divisors of strings *s*1 and *s*2. | [
"abcdabcd\nabcdabcdabcdabcd\n",
"aaa\naa\n"
] | [
"2\n",
"1\n"
] | In first sample the common divisors are strings "abcd" and "abcdabcd".
In the second sample the common divisor is a single string "a". String "aa" isn't included in the answer as it isn't a divisor of string "aaa". | [
{
"input": "abcdabcd\nabcdabcdabcdabcd",
"output": "2"
},
{
"input": "aaa\naa",
"output": "1"
},
{
"input": "aaaaaaaaaaaaaaaaaaaaaaaaa\naaaaaaaaaaaaaaaaaaaaaaaaa",
"output": "3"
},
{
"input": "aaaaaaaaaaaaaa\naaaaaaaaaaaaaa",
"output": "4"
},
{
"input": "a\nb",
... | 280 | 9,113,600 | 3 | 656 | |
180 | Letter | [
"dp"
] | null | null | Patrick has just finished writing a message to his sweetheart Stacey when he noticed that the message didn't look fancy. Patrick was nervous while writing the message, so some of the letters there were lowercase and some of them were uppercase.
Patrick believes that a message is fancy if any uppercase letter stands to the left of any lowercase one. In other words, this rule describes the strings where first go zero or more uppercase letters, and then β zero or more lowercase letters.
To make the message fancy, Patrick can erase some letter and add the same letter in the same place in the opposite case (that is, he can replace an uppercase letter with the lowercase one and vice versa). Patrick got interested in the following question: what minimum number of actions do we need to make a message fancy? Changing a letter's case in the message counts as one action. Patrick cannot perform any other actions. | The only line of the input contains a non-empty string consisting of uppercase and lowercase letters. The string's length does not exceed 105. | Print a single number β the least number of actions needed to make the message fancy. | [
"PRuvetSTAaYA\n",
"OYPROSTIYAOPECHATALSYAPRIVETSTASYA\n",
"helloworld\n"
] | [
"5\n",
"0\n",
"0\n"
] | none | [
{
"input": "PRuvetSTAaYA",
"output": "5"
},
{
"input": "OYPROSTIYAOPECHATALSYAPRIVETSTASYA",
"output": "0"
},
{
"input": "helloworld",
"output": "0"
},
{
"input": "P",
"output": "0"
},
{
"input": "t",
"output": "0"
},
{
"input": "XdJ",
"output": "1... | 248 | 0 | 0 | 657 | |
523 | Statistics of Recompressing Videos | [
"*special",
"data structures",
"implementation"
] | null | null | A social network for dogs called DH (DogHouse) has *k* special servers to recompress uploaded videos of cute cats. After each video is uploaded, it should be recompressed on one (any) of the servers, and only after that it can be saved in the social network.
We know that each server takes one second to recompress a one minute fragment. Thus, any server takes *m* seconds to recompress a *m* minute video.
We know the time when each of the *n* videos were uploaded to the network (in seconds starting from the moment all servers started working). All videos appear at different moments of time and they are recompressed in the order they appear. If some video appeared at time *s*, then its recompressing can start at that very moment, immediately. Some videos can await recompressing when all the servers are busy. In this case, as soon as a server is available, it immediately starts recompressing another video. The videos that await recompressing go in a queue. If by the moment the videos started being recompressed some servers are available, then any of them starts recompressing the video.
For each video find the moment it stops being recompressed. | The first line of the input contains integers *n* and *k* (1<=β€<=*n*,<=*k*<=β€<=5Β·105) β the number of videos and servers, respectively.
Next *n* lines contain the descriptions of the videos as pairs of integers *s**i*,<=*m**i* (1<=β€<=*s**i*,<=*m**i*<=β€<=109), where *s**i* is the time in seconds when the *i*-th video appeared and *m**i* is its duration in minutes. It is guaranteed that all the *s**i*'s are distinct and the videos are given in the chronological order of upload, that is in the order of increasing *s**i*. | Print *n* numbers *e*1,<=*e*2,<=...,<=*e**n*, where *e**i* is the time in seconds after the servers start working, when the *i*-th video will be recompressed. | [
"3 2\n1 5\n2 5\n3 5\n",
"6 1\n1 1000000000\n2 1000000000\n3 1000000000\n4 1000000000\n5 1000000000\n6 3\n"
] | [
"6\n7\n11\n",
"1000000001\n2000000001\n3000000001\n4000000001\n5000000001\n5000000004\n"
] | none | [
{
"input": "3 2\n1 5\n2 5\n3 5",
"output": "6\n7\n11"
},
{
"input": "6 1\n1 1000000000\n2 1000000000\n3 1000000000\n4 1000000000\n5 1000000000\n6 3",
"output": "1000000001\n2000000001\n3000000001\n4000000001\n5000000001\n5000000004"
},
{
"input": "1 1\n1 1",
"output": "2"
},
{
... | 62 | 409,600 | 0 | 658 | |
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. For following moves, there are some restrictions: if during last move the opposite player put his chip to cell with coordinates (*x**l*,<=*y**l*) in some small field, the next move should be done in one of the cells of the small field with coordinates (*x**l*,<=*y**l*). For example, if in the first move a player puts his chip to lower left cell of central field, then the second player on his next move should put his chip into some cell of lower left field (pay attention to the first test case). If there are no free cells in the required field, the player can put his chip to any empty cell on any field.
You are given current state of the game and coordinates of cell in which the last move was done. You should find all cells in which the current player can put his chip.
A hare works as a postman in the forest, he likes to foul bears. Sometimes he changes the game field a bit, so the current state of the game could be unreachable. However, after his changes the cell where the last move was done is not empty. You don't need to find if the state is unreachable or not, just output possible next moves according to the rules. | 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 "o" (ASCII-code 111) denotes a field occupied with chip of the second player, character "." (ASCII-code 46) describes empty cell.
The line after the table contains two integers *x* and *y* (1<=β€<=*x*,<=*y*<=β€<=9). They describe coordinates of the cell in table where the last move was done. Rows in the table are numbered from up to down and columns are numbered from left to right.
It's guaranteed that cell where the last move was done is filled with "x" or "o". Also, it's guaranteed that there is at least one empty cell. It's not guaranteed that current state of game is reachable. | 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 player can put his chip to any empty cell.
In the third test case the last move was done to central cell of central field, so current player can put his chip to any cell of central field, which is already occupied, so he can move anywhere. Pay attention that this state of the game is unreachable. | [
{
"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 | 659 | |
275 | Lights Out | [
"implementation"
] | null | null | Lenny is playing a game on a 3<=Γ<=3 grid of lights. In the beginning of the game all lights are switched on. Pressing any of the lights will toggle it and all side-adjacent lights. The goal of the game is to switch all the lights off. We consider the toggling as follows: if the light was switched on then it will be switched off, if it was switched off then it will be switched on.
Lenny has spent some time playing with the grid and by now he has pressed each light a certain number of times. Given the number of times each light is pressed, you have to print the current state of each light. | The input consists of three rows. Each row contains three integers each between 0 to 100 inclusive. The *j*-th number in the *i*-th row is the number of times the *j*-th light of the *i*-th row of the grid is pressed. | Print three lines, each containing three characters. The *j*-th character of the *i*-th line is "1" if and only if the corresponding light is switched on, otherwise it's "0". | [
"1 0 0\n0 0 0\n0 0 1\n",
"1 0 1\n8 8 8\n2 0 3\n"
] | [
"001\n010\n100\n",
"010\n011\n100\n"
] | none | [
{
"input": "1 0 0\n0 0 0\n0 0 1",
"output": "001\n010\n100"
},
{
"input": "1 0 1\n8 8 8\n2 0 3",
"output": "010\n011\n100"
},
{
"input": "13 85 77\n25 50 45\n65 79 9",
"output": "000\n010\n000"
},
{
"input": "96 95 5\n8 84 74\n67 31 61",
"output": "011\n011\n101"
},
{... | 77 | 204,800 | 3 | 660 | |
981 | Antipalindrome | [
"brute force",
"implementation",
"strings"
] | null | null | A string is a palindrome if it reads the same from the left to the right and from the right to the left. For example, the strings "kek", "abacaba", "r" and "papicipap" are palindromes, while the strings "abb" and "iq" are not.
A substring $s[l \ldots r]$ ($1<=\leq<=l<=\leq<=r<=\leq<=|s|$) of a string $s<==<=s_{1}s_{2} \ldots s_{|s|}$ is the string $s_{l}s_{l<=+<=1} \ldots s_{r}$.
Anna does not like palindromes, so she makes her friends call her Ann. She also changes all the words she reads in a similar way. Namely, each word $s$ is changed into its longest substring that is not a palindrome. If all the substrings of $s$ are palindromes, she skips the word at all.
Some time ago Ann read the word $s$. What is the word she changed it into? | The first line contains a non-empty string $s$ with length at most $50$ characters, containing lowercase English letters only. | If there is such a substring in $s$ that is not a palindrome, print the maximum length of such a substring. Otherwise print $0$.
Note that there can be multiple longest substrings that are not palindromes, but their length is unique. | [
"mew\n",
"wuffuw\n",
"qqqqqqqq\n"
] | [
"3\n",
"5\n",
"0\n"
] | "mew" is not a palindrome, so the longest substring of it that is not a palindrome, is the string "mew" itself. Thus, the answer for the first example is $3$.
The string "uffuw" is one of the longest non-palindrome substrings (of length $5$) of the string "wuffuw", so the answer for the second example is $5$.
All substrings of the string "qqqqqqqq" consist of equal characters so they are palindromes. This way, there are no non-palindrome substrings. Thus, the answer for the third example is $0$. | [
{
"input": "mew",
"output": "3"
},
{
"input": "wuffuw",
"output": "5"
},
{
"input": "qqqqqqqq",
"output": "0"
},
{
"input": "ijvji",
"output": "4"
},
{
"input": "iiiiiii",
"output": "0"
},
{
"input": "wobervhvvkihcuyjtmqhaaigvvgiaahqmtjyuchikvvhvrebow"... | 109 | 0 | 3 | 661 | |
588 | Duff and Meat | [
"greedy"
] | null | null | Duff is addicted to meat! Malek wants to keep her happy for *n* days. In order to be happy in *i*-th day, she needs to eat exactly *a**i* kilograms of meat.
There is a big shop uptown and Malek wants to buy meat for her from there. In *i*-th day, they sell meat for *p**i* dollars per kilogram. Malek knows all numbers *a*1,<=...,<=*a**n* and *p*1,<=...,<=*p**n*. In each day, he can buy arbitrary amount of meat, also he can keep some meat he has for the future.
Malek is a little tired from cooking meat, so he asked for your help. Help him to minimize the total money he spends to keep Duff happy for *n* days. | The first line of input contains integer *n* (1<=β€<=*n*<=β€<=105), the number of days.
In the next *n* lines, *i*-th line contains two integers *a**i* and *p**i* (1<=β€<=*a**i*,<=*p**i*<=β€<=100), the amount of meat Duff needs and the cost of meat in that day. | Print the minimum money needed to keep Duff happy for *n* days, in one line. | [
"3\n1 3\n2 2\n3 1\n",
"3\n1 3\n2 1\n3 2\n"
] | [
"10\n",
"8\n"
] | In the first sample case: An optimal way would be to buy 1 kg on the first day, 2 kg on the second day and 3 kg on the third day.
In the second sample case: An optimal way would be to buy 1 kg on the first day and 5 kg (needed meat for the second and third day) on the second day. | [
{
"input": "3\n1 3\n2 2\n3 1",
"output": "10"
},
{
"input": "3\n1 3\n2 1\n3 2",
"output": "8"
},
{
"input": "1\n39 52",
"output": "2028"
},
{
"input": "2\n25 56\n94 17",
"output": "2998"
},
{
"input": "5\n39 21\n95 89\n73 90\n9 55\n85 32",
"output": "6321"
}... | 389 | 7,577,600 | 3 | 663 | |
940 | Our Tanya is Crying Out Loud | [
"dp",
"greedy"
] | null | null | Right now she actually isn't. But she will be, if you don't solve this problem.
You are given integers *n*, *k*, *A* and *B*. There is a number *x*, which is initially equal to *n*. You are allowed to perform two types of operations:
1. Subtract 1 from *x*. This operation costs you *A* coins. 1. Divide *x* by *k*. Can be performed only if *x* is divisible by *k*. This operation costs you *B* coins. | The first line contains a single integer *n* (1<=β€<=*n*<=β€<=2Β·109).
The second line contains a single integer *k* (1<=β€<=*k*<=β€<=2Β·109).
The third line contains a single integer *A* (1<=β€<=*A*<=β€<=2Β·109).
The fourth line contains a single integer *B* (1<=β€<=*B*<=β€<=2Β·109). | Output a single integerΒ β the minimum amount of coins you have to pay to make *x* equal to 1. | [
"9\n2\n3\n1\n",
"5\n5\n2\n20\n",
"19\n3\n4\n2\n"
] | [
"6\n",
"8\n",
"12\n"
] | In the first testcase, the optimal strategy is as follows:
- Subtract 1 from *x* (9βββ8) paying 3 coins. - Divide *x* by 2 (8βββ4) paying 1 coin. - Divide *x* by 2 (4βββ2) paying 1 coin. - Divide *x* by 2 (2βββ1) paying 1 coin.
The total cost is 6 coins.
In the second test case the optimal strategy is to subtract 1 from *x* 4 times paying 8 coins in total. | [
{
"input": "9\n2\n3\n1",
"output": "6"
},
{
"input": "5\n5\n2\n20",
"output": "8"
},
{
"input": "19\n3\n4\n2",
"output": "12"
},
{
"input": "1845999546\n999435865\n1234234\n2323423",
"output": "1044857680578777"
},
{
"input": "1604353664\n1604353665\n9993432\n1",
... | 1,000 | 0 | 0 | 664 | |
268 | Buttons | [
"implementation",
"math"
] | null | null | Manao is trying to open a rather challenging lock. The lock has *n* buttons on it and to open it, you should press the buttons in a certain order to open the lock. When you push some button, it either stays pressed into the lock (that means that you've guessed correctly and pushed the button that goes next in the sequence), or all pressed buttons return to the initial position. When all buttons are pressed into the lock at once, the lock opens.
Consider an example with three buttons. Let's say that the opening sequence is: {2, 3, 1}. If you first press buttons 1 or 3, the buttons unpress immediately. If you first press button 2, it stays pressed. If you press 1 after 2, all buttons unpress. If you press 3 after 2, buttons 3 and 2 stay pressed. As soon as you've got two pressed buttons, you only need to press button 1 to open the lock.
Manao doesn't know the opening sequence. But he is really smart and he is going to act in the optimal way. Calculate the number of times he's got to push a button in order to open the lock in the worst-case scenario. | A single line contains integer *n* (1<=β€<=*n*<=β€<=2000) β the number of buttons the lock has. | In a single line print the number of times Manao has to push a button in the worst-case scenario. | [
"2\n",
"3\n"
] | [
"3\n",
"7\n"
] | Consider the first test sample. Manao can fail his first push and push the wrong button. In this case he will already be able to guess the right one with his second push. And his third push will push the second right button. Thus, in the worst-case scenario he will only need 3 pushes. | [
{
"input": "2",
"output": "3"
},
{
"input": "3",
"output": "7"
},
{
"input": "4",
"output": "14"
},
{
"input": "1",
"output": "1"
},
{
"input": "10",
"output": "175"
},
{
"input": "2000",
"output": "1333335000"
},
{
"input": "1747",
"ou... | 92 | 0 | 3 | 665 | |
108 | Palindromic Times | [
"implementation",
"strings"
] | A. Palindromic Times | 2 | 256 | Tattah is asleep if and only if Tattah is attending a lecture. This is a well-known formula among Tattah's colleagues.
On a Wednesday afternoon, Tattah was attending Professor HH's lecture. At 12:21, right before falling asleep, he was staring at the digital watch around Saher's wrist. He noticed that the digits on the clock were the same when read from both directions i.e. a palindrome.
In his sleep, he started dreaming about such rare moments of the day when the time displayed on a digital clock is a palindrome. As soon as he woke up, he felt destined to write a program that finds the next such moment.
However, he still hasn't mastered the skill of programming while sleeping, so your task is to help him. | The first and only line of the input starts with a string with the format "HH:MM" where "HH" is from "00" to "23" and "MM" is from "00" to "59". Both "HH" and "MM" have exactly two digits. | Print the palindromic time of day that comes soonest after the time given in the input. If the input time is palindromic, output the soonest palindromic time after the input time. | [
"12:21\n",
"23:59\n"
] | [
"13:31\n",
"00:00\n"
] | none | [
{
"input": "12:21",
"output": "13:31"
},
{
"input": "23:59",
"output": "00:00"
},
{
"input": "15:51",
"output": "20:02"
},
{
"input": "10:44",
"output": "11:11"
},
{
"input": "04:02",
"output": "04:40"
},
{
"input": "02:11",
"output": "02:20"
},
... | 280 | 409,600 | 3.929237 | 668 |
0 | none | [
"none"
] | null | null | A camera you have accidentally left in a desert has taken an interesting photo. The photo has a resolution of *n* pixels width, and each column of this photo is all white or all black. Thus, we can represent the photo as a sequence of *n* zeros and ones, where 0 means that the corresponding column is all white, and 1 means that the corresponding column is black.
You think that this photo can contain a zebra. In this case the whole photo should consist of several (possibly, only one) alternating black and white stripes of equal width. For example, the photo [0,<=0,<=0,<=1,<=1,<=1,<=0,<=0,<=0] can be a photo of zebra, while the photo [0,<=0,<=0,<=1,<=1,<=1,<=1] can not, because the width of the black stripe is 3, while the width of the white stripe is 4. Can the given photo be a photo of zebra or not? | The first line contains a single integer *n* (1<=β€<=*n*<=β€<=100<=000) β the width of the photo.
The second line contains a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=β€<=*a**i*<=β€<=1) β the description of the photo. If *a**i* is zero, the *i*-th column is all black. If *a**i* is one, then the *i*-th column is all white. | If the photo can be a photo of zebra, print "YES" (without quotes). Otherwise, print "NO".
You can print each letter in any case (upper or lower). | [
"9\n0 0 0 1 1 1 0 0 0\n",
"7\n0 0 0 1 1 1 1\n",
"5\n1 1 1 1 1\n",
"8\n1 1 1 0 0 0 1 1\n",
"9\n1 1 0 1 1 0 1 1 0\n"
] | [
"YES\n",
"NO\n",
"YES\n",
"NO\n",
"NO\n"
] | The first two examples are described in the statements.
In the third example all pixels are white, so the photo can be a photo of zebra.
In the fourth example the width of the first stripe is equal to three (white color), the width of the second stripe is equal to three (black), and the width of the third stripe is equal to two (white). Thus, not all stripes have equal length, so this photo is not a photo of zebra. | [
{
"input": "9\n0 0 0 1 1 1 0 0 0",
"output": "YES"
},
{
"input": "7\n0 0 0 1 1 1 1",
"output": "NO"
},
{
"input": "5\n1 1 1 1 1",
"output": "YES"
},
{
"input": "8\n1 1 1 0 0 0 1 1",
"output": "NO"
},
{
"input": "9\n1 1 0 1 1 0 1 1 0",
"output": "NO"
},
{
... | 30 | 0 | 0 | 669 | |
111 | Petya and Coloring | [
"combinatorics",
"dp"
] | D. Petya and Coloring | 5 | 256 | Little Petya loves counting. He wants to count the number of ways to paint a rectangular checkered board of size *n*<=Γ<=*m* (*n* rows, *m* columns) in *k* colors. Besides, the coloring should have the following property: for any vertical line that passes along the grid lines and divides the board in two non-empty parts the number of distinct colors in both these parts should be the same. Help Petya to count these colorings. | The first line contains space-separated integers *n*, *m* and *k* (1<=β€<=*n*,<=*m*<=β€<=1000,<=1<=β€<=*k*<=β€<=106) β the board's vertical and horizontal sizes and the number of colors respectively. | Print the answer to the problem. As the answer can be quite a large number, you should print it modulo 109<=+<=7 (1000000007). | [
"2 2 1\n",
"2 2 2\n",
"3 2 2\n"
] | [
"1\n",
"8\n",
"40\n"
] | none | [
{
"input": "2 2 1",
"output": "1"
},
{
"input": "2 2 2",
"output": "8"
},
{
"input": "3 2 2",
"output": "40"
},
{
"input": "7 8 15",
"output": "422409918"
},
{
"input": "5 3 1",
"output": "1"
},
{
"input": "5 100 1",
"output": "1"
},
{
"inp... | 3,024 | 28,979,200 | -1 | 670 |
313 | Ilya and Bank Account | [
"implementation",
"number theory"
] | null | null | Ilya is a very clever lion, he lives in an unusual city ZooVille. In this city all the animals have their rights and obligations. Moreover, they even have their own bank accounts. The state of a bank account is an integer. The state of a bank account can be a negative number. This means that the owner of the account owes the bank money.
Ilya the Lion has recently had a birthday, so he got a lot of gifts. One of them (the gift of the main ZooVille bank) is the opportunity to delete the last digit or the digit before last from the state of his bank account no more than once. For example, if the state of Ilya's bank account is -123, then Ilya can delete the last digit and get his account balance equal to -12, also he can remove its digit before last and get the account balance equal to -13. Of course, Ilya is permitted not to use the opportunity to delete a digit from the balance.
Ilya is not very good at math, and that's why he asks you to help him maximize his bank account. Find the maximum state of the bank account that can be obtained using the bank's gift. | The single line contains integer *n* (10<=β€<=|*n*|<=β€<=109) β the state of Ilya's bank account. | In a single line print an integer β the maximum state of the bank account that Ilya can get. | [
"2230\n",
"-10\n",
"-100003\n"
] | [
"2230\n",
"0\n",
"-10000\n"
] | In the first test sample Ilya doesn't profit from using the present.
In the second test sample you can delete digit 1 and get the state of the account equal to 0. | [
{
"input": "2230",
"output": "2230"
},
{
"input": "-10",
"output": "0"
},
{
"input": "-100003",
"output": "-10000"
},
{
"input": "544883178",
"output": "544883178"
},
{
"input": "-847251738",
"output": "-84725173"
},
{
"input": "423654797",
"output... | 124 | 0 | 3 | 672 | |
935 | Fafa and his Company | [
"brute force",
"implementation"
] | null | null | Fafa owns a company that works on huge projects. There are *n* employees in Fafa's company. Whenever the company has a new project to start working on, Fafa has to divide the tasks of this project among all the employees.
Fafa finds doing this every time is very tiring for him. So, he decided to choose the best *l* employees in his company as team leaders. Whenever there is a new project, Fafa will divide the tasks among only the team leaders and each team leader will be responsible of some positive number of employees to give them the tasks. To make this process fair for the team leaders, each one of them should be responsible for the same number of employees. Moreover, every employee, who is not a team leader, has to be under the responsibility of exactly one team leader, and no team leader is responsible for another team leader.
Given the number of employees *n*, find in how many ways Fafa could choose the number of team leaders *l* in such a way that it is possible to divide employees between them evenly. | The input consists of a single line containing a positive integer *n* (2<=β€<=*n*<=β€<=105) β the number of employees in Fafa's company. | Print a single integer representing the answer to the problem. | [
"2\n",
"10\n"
] | [
"1\n",
"3\n"
] | In the second sample Fafa has 3 ways:
- choose only 1 employee as a team leader with 9 employees under his responsibility. - choose 2 employees as team leaders with 4 employees under the responsibility of each of them. - choose 5 employees as team leaders with 1 employee under the responsibility of each of them. | [
{
"input": "2",
"output": "1"
},
{
"input": "10",
"output": "3"
},
{
"input": "3",
"output": "1"
},
{
"input": "4",
"output": "2"
},
{
"input": "6",
"output": "3"
},
{
"input": "13",
"output": "1"
},
{
"input": "100000",
"output": "35"
... | 31 | 0 | 0 | 673 | |
26 | Almost Prime | [
"number theory"
] | A. Almost Prime | 2 | 256 | A number is called almost prime if it has exactly two distinct prime divisors. For example, numbers 6, 18, 24 are almost prime, while 4, 8, 9, 42 are not. Find the amount of almost prime numbers which are between 1 and *n*, inclusive. | Input contains one integer number *n* (1<=β€<=*n*<=β€<=3000). | Output the amount of almost prime numbers between 1 and *n*, inclusive. | [
"10\n",
"21\n"
] | [
"2\n",
"8\n"
] | none | [
{
"input": "10",
"output": "2"
},
{
"input": "21",
"output": "8"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "4",
"output": "0"
},
{
"input": "3",
"output": "0"
},
{
"input": "8",
"output": "1"
},
... | 122 | 2,867,200 | -1 | 674 |
569 | Music | [
"implementation",
"math"
] | null | null | Little Lesha loves listening to music via his smartphone. But the smartphone doesn't have much memory, so Lesha listens to his favorite songs in a well-known social network InTalk.
Unfortunately, internet is not that fast in the city of Ekaterinozavodsk and the song takes a lot of time to download. But Lesha is quite impatient. The song's duration is *T* seconds. Lesha downloads the first *S* seconds of the song and plays it. When the playback reaches the point that has not yet been downloaded, Lesha immediately plays the song from the start (the loaded part of the song stays in his phone, and the download is continued from the same place), and it happens until the song is downloaded completely and Lesha listens to it to the end. For *q* seconds of real time the Internet allows you to download *q*<=-<=1 seconds of the track.
Tell Lesha, for how many times he will start the song, including the very first start. | The single line contains three integers *T*,<=*S*,<=*q* (2<=β€<=*q*<=β€<=104, 1<=β€<=*S*<=<<=*T*<=β€<=105). | Print a single integerΒ β the number of times the song will be restarted. | [
"5 2 2\n",
"5 4 7\n",
"6 2 3\n"
] | [
"2\n",
"1\n",
"1\n"
] | In the first test, the song is played twice faster than it is downloaded, which means that during four first seconds Lesha reaches the moment that has not been downloaded, and starts the song again. After another two seconds, the song is downloaded completely, and thus, Lesha starts the song twice.
In the second test, the song is almost downloaded, and Lesha will start it only once.
In the third sample test the download finishes and Lesha finishes listening at the same moment. Note that song isn't restarted in this case. | [
{
"input": "5 2 2",
"output": "2"
},
{
"input": "5 4 7",
"output": "1"
},
{
"input": "6 2 3",
"output": "1"
},
{
"input": "2 1 2",
"output": "1"
},
{
"input": "2 1 3",
"output": "1"
},
{
"input": "2 1 10000",
"output": "1"
},
{
"input": "12... | 202 | 0 | 0 | 676 | |
75 | Life Without Zeros | [
"implementation"
] | A. Life Without Zeros | 2 | 256 | Can you imagine our life if we removed all zeros from it? For sure we will have many problems.
In this problem we will have a simple example if we removed all zeros from our life, it's the addition operation. Let's assume you are given this equation *a*<=+<=*b*<==<=*c*, where *a* and *b* are positive integers, and *c* is the sum of *a* and *b*. Now let's remove all zeros from this equation. Will the equation remain correct after removing all zeros?
For example if the equation is 101<=+<=102<==<=203, if we removed all zeros it will be 11<=+<=12<==<=23 which is still a correct equation.
But if the equation is 105<=+<=106<==<=211, if we removed all zeros it will be 15<=+<=16<==<=211 which is not a correct equation. | The input will consist of two lines, the first line will contain the integer *a*, and the second line will contain the integer *b* which are in the equation as described above (1<=β€<=*a*,<=*b*<=β€<=109). There won't be any leading zeros in both. The value of *c* should be calculated as *c*<==<=*a*<=+<=*b*. | The output will be just one line, you should print "YES" if the equation will remain correct after removing all zeros, and print "NO" otherwise. | [
"101\n102\n",
"105\n106\n"
] | [
"YES\n",
"NO\n"
] | none | [
{
"input": "101\n102",
"output": "YES"
},
{
"input": "105\n106",
"output": "NO"
},
{
"input": "544\n397",
"output": "YES"
},
{
"input": "822\n280",
"output": "NO"
},
{
"input": "101\n413",
"output": "NO"
},
{
"input": "309\n139",
"output": "NO"
}... | 154 | 6,963,200 | 3.94853 | 679 |
441 | Valera and Antique Items | [
"implementation"
] | null | null | Valera is a collector. Once he wanted to expand his collection with exactly one antique item.
Valera knows *n* sellers of antiques, the *i*-th of them auctioned *k**i* items. Currently the auction price of the *j*-th object of the *i*-th seller is *s**ij*. Valera gets on well with each of the *n* sellers. He is perfectly sure that if he outbids the current price of one of the items in the auction (in other words, offers the seller the money that is strictly greater than the current price of the item at the auction), the seller of the object will immediately sign a contract with him.
Unfortunately, Valera has only *v* units of money. Help him to determine which of the *n* sellers he can make a deal with. | The first line contains two space-separated integers *n*,<=*v* (1<=β€<=*n*<=β€<=50;Β 104<=β€<=*v*<=β€<=106) β the number of sellers and the units of money the Valera has.
Then *n* lines follow. The *i*-th line first contains integer *k**i* (1<=β€<=*k**i*<=β€<=50) the number of items of the *i*-th seller. Then go *k**i* space-separated integers *s**i*1,<=*s**i*2,<=...,<=*s**ik**i* (104<=β€<=*s**ij*<=β€<=106) β the current prices of the items of the *i*-th seller. | In the first line, print integer *p* β the number of sellers with who Valera can make a deal.
In the second line print *p* space-separated integers *q*1,<=*q*2,<=...,<=*q**p* (1<=β€<=*q**i*<=β€<=*n*) β the numbers of the sellers with who Valera can make a deal. Print the numbers of the sellers in the increasing order. | [
"3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000\n",
"3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000\n"
] | [
"3\n1 2 3\n",
"0\n\n"
] | In the first sample Valera can bargain with each of the sellers. He can outbid the following items: a 40000 item from the first seller, a 20000 item from the second seller, and a 10000 item from the third seller.
In the second sample Valera can not make a deal with any of the sellers, as the prices of all items in the auction too big for him. | [
{
"input": "3 50000\n1 40000\n2 20000 60000\n3 10000 70000 190000",
"output": "3\n1 2 3"
},
{
"input": "3 50000\n1 50000\n3 100000 120000 110000\n3 120000 110000 120000",
"output": "0"
},
{
"input": "2 100001\n1 895737\n1 541571",
"output": "0"
},
{
"input": "1 1000000\n1 100... | 31 | 0 | 0 | 680 | |
845 | Driving Test | [
"data structures",
"dp",
"greedy"
] | null | null | Polycarp has just attempted to pass the driving test. He ran over the straight road with the signs of four types.
- speed limit: this sign comes with a positive integer number β maximal speed of the car after the sign (cancel the action of the previous sign of this type); - overtake is allowed: this sign means that after some car meets it, it can overtake any other car; - no speed limit: this sign cancels speed limit if any (car can move with arbitrary speed after this sign); - no overtake allowed: some car can't overtake any other car after this sign.
Polycarp goes past the signs consequentially, each new sign cancels the action of all the previous signs of it's kind (speed limit/overtake). It is possible that two or more "no overtake allowed" signs go one after another with zero "overtake is allowed" signs between them. It works with "no speed limit" and "overtake is allowed" signs as well.
In the beginning of the ride overtake is allowed and there is no speed limit.
You are given the sequence of events in chronological order β events which happened to Polycarp during the ride. There are events of following types:
1. Polycarp changes the speed of his car to specified (this event comes with a positive integer number); 1. Polycarp's car overtakes the other car; 1. Polycarp's car goes past the "speed limit" sign (this sign comes with a positive integer); 1. Polycarp's car goes past the "overtake is allowed" sign; 1. Polycarp's car goes past the "no speed limit"; 1. Polycarp's car goes past the "no overtake allowed";
It is guaranteed that the first event in chronological order is the event of type 1 (Polycarp changed the speed of his car to specified).
After the exam Polycarp can justify his rule violations by telling the driving instructor that he just didn't notice some of the signs. What is the minimal number of signs Polycarp should say he didn't notice, so that he would make no rule violations from his point of view? | The first line contains one integer number *n* (1<=β€<=*n*<=β€<=2Β·105) β number of events.
Each of the next *n* lines starts with integer *t* (1<=β€<=*t*<=β€<=6) β the type of the event.
An integer *s* (1<=β€<=*s*<=β€<=300) follows in the query of the first and the third type (if it is the query of first type, then it's new speed of Polycarp's car, if it is the query of third type, then it's new speed limit).
It is guaranteed that the first event in chronological order is the event of type 1 (Polycarp changed the speed of his car to specified). | Print the minimal number of road signs Polycarp should say he didn't notice, so that he would make no rule violations from his point of view. | [
"11\n1 100\n3 70\n4\n2\n3 120\n5\n3 120\n6\n1 150\n4\n3 300\n",
"5\n1 100\n3 200\n2\n4\n5\n",
"7\n1 20\n2\n6\n4\n6\n6\n2\n"
] | [
"2\n",
"0\n",
"2\n"
] | In the first example Polycarp should say he didn't notice the "speed limit" sign with the limit of 70 and the second "speed limit" sign with the limit of 120.
In the second example Polycarp didn't make any rule violation.
In the third example Polycarp should say he didn't notice both "no overtake allowed" that came after "overtake is allowed" sign. | [
{
"input": "11\n1 100\n3 70\n4\n2\n3 120\n5\n3 120\n6\n1 150\n4\n3 300",
"output": "2"
},
{
"input": "5\n1 100\n3 200\n2\n4\n5",
"output": "0"
},
{
"input": "7\n1 20\n2\n6\n4\n6\n6\n2",
"output": "2"
},
{
"input": "1\n1 100",
"output": "0"
},
{
"input": "2\n1 100\... | 1,450 | 9,830,400 | 3 | 682 | |
593 | 2Char | [
"brute force",
"implementation"
] | null | null | Andrew often reads articles in his favorite magazine 2Char. The main feature of these articles is that each of them uses at most two distinct letters. Andrew decided to send an article to the magazine, but as he hasn't written any article, he just decided to take a random one from magazine 26Char. However, before sending it to the magazine 2Char, he needs to adapt the text to the format of the journal. To do so, he removes some words from the chosen article, in such a way that the remaining text can be written using no more than two distinct letters.
Since the payment depends from the number of non-space characters in the article, Andrew wants to keep the words with the maximum total length. | The first line of the input contains number *n* (1<=β€<=*n*<=β€<=100)Β β the number of words in the article chosen by Andrew. Following are *n* lines, each of them contains one word. All the words consist only of small English letters and their total length doesn't exceed 1000. The words are not guaranteed to be distinct, in this case you are allowed to use a word in the article as many times as it appears in the input. | Print a single integerΒ β the maximum possible total length of words in Andrew's article. | [
"4\nabb\ncacc\naaa\nbbb\n",
"5\na\na\nbcbcb\ncdecdecdecdecdecde\naaaa\n"
] | [
"9",
"6"
] | In the first sample the optimal way to choose words is {'abb', 'aaa', 'bbb'}.
In the second sample the word 'cdecdecdecdecdecde' consists of three distinct letters, and thus cannot be used in the article. The optimal answer is {'a', 'a', 'aaaa'}. | [
{
"input": "4\nabb\ncacc\naaa\nbbb",
"output": "9"
},
{
"input": "5\na\na\nbcbcb\ncdecdecdecdecdecde\naaaa",
"output": "6"
},
{
"input": "1\na",
"output": "1"
},
{
"input": "2\nz\nz",
"output": "2"
},
{
"input": "5\nabcde\nfghij\nklmno\npqrst\nuvwxy",
"output"... | 46 | 0 | 0 | 684 | |
1,003 | Intense Heat | [
"brute force",
"implementation",
"math"
] | null | null | The heat during the last few days has been really intense. Scientists from all over the Berland study how the temperatures and weather change, and they claim that this summer is abnormally hot. But any scientific claim sounds a lot more reasonable if there are some numbers involved, so they have decided to actually calculate some value which would represent how high the temperatures are.
Mathematicians of Berland State University came up with a special heat intensity value. This value is calculated as follows:
Suppose we want to analyze the segment of $n$ consecutive days. We have measured the temperatures during these $n$ days; the temperature during $i$-th day equals $a_i$.
We denote the average temperature of a segment of some consecutive days as the arithmetic mean of the temperature measures during this segment of days. So, if we want to analyze the average temperature from day $x$ to day $y$, we calculate it as $\frac{\sum \limits_{i = x}^{y} a_i}{y - x + 1}$ (note that division is performed without any rounding). The heat intensity value is the maximum of average temperatures over all segments of not less than $k$ consecutive days. For example, if analyzing the measures $[3, 4, 1, 2]$ and $k = 3$, we are interested in segments $[3, 4, 1]$, $[4, 1, 2]$ and $[3, 4, 1, 2]$ (we want to find the maximum value of average temperature over these segments).
You have been hired by Berland State University to write a program that would compute the heat intensity value of a given period of days. Are you up to this task? | The first line contains two integers $n$ and $k$ ($1 \le k \le n \le 5000$) β the number of days in the given period, and the minimum number of days in a segment we consider when calculating heat intensity value, respectively.
The second line contains $n$ integers $a_1$, $a_2$, ..., $a_n$ ($1 \le a_i \le 5000$) β the temperature measures during given $n$ days. | Print one real number β the heat intensity value, i. e., the maximum of average temperatures over all segments of not less than $k$ consecutive days.
Your answer will be considered correct if the following condition holds: $|res - res_0| < 10^{-6}$, where $res$ is your answer, and $res_0$ is the answer given by the jury's solution. | [
"4 3\n3 4 1 2\n"
] | [
"2.666666666666667\n"
] | none | [
{
"input": "4 3\n3 4 1 2",
"output": "2.666666666666667"
},
{
"input": "5 1\n3 10 9 10 6",
"output": "10.000000000000000"
},
{
"input": "5 2\n7 3 3 1 8",
"output": "5.000000000000000"
},
{
"input": "5 3\n1 7 6 9 1",
"output": "7.333333333333333"
},
{
"input": "5 4... | 4,000 | 0 | 0 | 685 | |
900 | Remove Extra One | [
"brute force",
"data structures",
"math"
] | null | null | You are given a permutation *p* of length *n*. Remove one element from permutation to make the number of records the maximum possible.
We remind that in a sequence of numbers *a*1,<=*a*2,<=...,<=*a**k* the element *a**i* is a record if for every integer *j* (1<=β€<=*j*<=<<=*i*) the following holds: *a**j*<=<<=*a**i*. | The first line contains the only integer *n* (1<=β€<=*n*<=β€<=105)Β β the length of the permutation.
The second line contains *n* integers *p*1,<=*p*2,<=...,<=*p**n* (1<=β€<=*p**i*<=β€<=*n*)Β β the permutation. All the integers are distinct. | Print the only integerΒ β the element that should be removed to make the number of records the maximum possible. If there are multiple such elements, print the smallest one. | [
"1\n1\n",
"5\n5 1 2 3 4\n"
] | [
"1\n",
"5\n"
] | In the first example the only element can be removed. | [
{
"input": "1\n1",
"output": "1"
},
{
"input": "5\n5 1 2 3 4",
"output": "5"
},
{
"input": "5\n4 3 5 1 2",
"output": "1"
},
{
"input": "9\n9 5 8 6 3 2 4 1 7",
"output": "9"
},
{
"input": "3\n3 2 1",
"output": "1"
},
{
"input": "7\n1 6 7 4 2 5 3",
"... | 93 | 7,065,600 | 0 | 688 | |
304 | Calendar | [
"brute force",
"implementation"
] | null | null | Calendars in widespread use today include the Gregorian calendar, which is the de facto international standard, and is used almost everywhere in the world for civil purposes. The Gregorian reform modified the Julian calendar's scheme of leap years as follows:
Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by 100; the centurial years that are exactly divisible by 400 are still leap years. For example, the year 1900 is not a leap year; the year 2000 is a leap year.
In this problem, you have been given two dates and your task is to calculate how many days are between them. Note, that leap years have unusual number of days in February.
Look at the sample to understand what borders are included in the aswer. | The first two lines contain two dates, each date is in the format yyyy:mm:dd (1900<=β€<=*yyyy*<=β€<=2038 and yyyy:mm:dd is a legal date). | Print a single integer β the answer to the problem. | [
"1900:01:01\n2038:12:31\n",
"1996:03:09\n1991:11:12\n"
] | [
"50768\n",
"1579\n"
] | none | [
{
"input": "1900:01:01\n2038:12:31",
"output": "50768"
},
{
"input": "1996:03:09\n1991:11:12",
"output": "1579"
},
{
"input": "1999:12:31\n2000:02:29",
"output": "60"
},
{
"input": "1903:09:27\n1988:06:15",
"output": "30943"
},
{
"input": "1913:11:14\n1901:05:11",... | 184 | 5,734,400 | 0 | 689 | |
844 | Diversity | [
"greedy",
"implementation",
"strings"
] | null | null | Calculate the minimum number of characters you need to change in the string *s*, so that it contains at least *k* different letters, or print that it is impossible.
String *s* consists only of lowercase Latin letters, and it is allowed to change characters only to lowercase Latin letters too. | First line of input contains string *s*, consisting only of lowercase Latin letters (1<=β€<=|*s*|<=β€<=1000, |*s*| denotes the length of *s*).
Second line of input contains integer *k* (1<=β€<=*k*<=β€<=26). | Print single line with a minimum number of necessary changes, or the word Β«impossibleΒ» (without quotes) if it is impossible. | [
"yandex\n6\n",
"yahoo\n5\n",
"google\n7\n"
] | [
"0\n",
"1\n",
"impossible\n"
] | In the first test case string contains 6 different letters, so we don't need to change anything.
In the second test case string contains 4 different letters: {'*a*',β'*h*',β'*o*',β'*y*'}. To get 5 different letters it is necessary to change one occurrence of '*o*' to some letter, which doesn't occur in the string, for example, {'*b*'}.
In the third test case, it is impossible to make 7 different letters because the length of the string is 6. | [
{
"input": "yandex\n6",
"output": "0"
},
{
"input": "yahoo\n5",
"output": "1"
},
{
"input": "google\n7",
"output": "impossible"
},
{
"input": "a\n1",
"output": "0"
},
{
"input": "z\n2",
"output": "impossible"
},
{
"input": "fwgfrwgkuwghfiruhewgirueguhe... | 61 | 0 | 0 | 690 | |
0 | none | [
"none"
] | null | null | Leonid wants to become a glass carver (the person who creates beautiful artworks by cutting the glass). He already has a rectangular *w* mm <=Γ<= *h* mm sheet of glass, a diamond glass cutter and lots of enthusiasm. What he lacks is understanding of what to carve and how.
In order not to waste time, he decided to practice the technique of carving. To do this, he makes vertical and horizontal cuts through the entire sheet. This process results in making smaller rectangular fragments of glass. Leonid does not move the newly made glass fragments. In particular, a cut divides each fragment of glass that it goes through into smaller fragments.
After each cut Leonid tries to determine what area the largest of the currently available glass fragments has. Since there appear more and more fragments, this question takes him more and more time and distracts him from the fascinating process.
Leonid offers to divide the labor β he will cut glass, and you will calculate the area of the maximum fragment after each cut. Do you agree? | The first line contains three integers *w*,<=*h*,<=*n* (2<=β€<=*w*,<=*h*<=β€<=200<=000, 1<=β€<=*n*<=β€<=200<=000).
Next *n* lines contain the descriptions of the cuts. Each description has the form *H*Β *y* or *V*Β *x*. In the first case Leonid makes the horizontal cut at the distance *y* millimeters (1<=β€<=*y*<=β€<=*h*<=-<=1) from the lower edge of the original sheet of glass. In the second case Leonid makes a vertical cut at distance *x* (1<=β€<=*x*<=β€<=*w*<=-<=1) millimeters from the left edge of the original sheet of glass. It is guaranteed that Leonid won't make two identical cuts. | After each cut print on a single line the area of the maximum available glass fragment in mm2. | [
"4 3 4\nH 2\nV 2\nV 3\nV 1\n",
"7 6 5\nH 4\nV 3\nV 5\nH 2\nV 1\n"
] | [
"8\n4\n4\n2\n",
"28\n16\n12\n6\n4\n"
] | Picture for the first sample test: | [
{
"input": "4 3 4\nH 2\nV 2\nV 3\nV 1",
"output": "8\n4\n4\n2"
},
{
"input": "7 6 5\nH 4\nV 3\nV 5\nH 2\nV 1",
"output": "28\n16\n12\n6\n4"
},
{
"input": "2 2 1\nV 1",
"output": "2"
},
{
"input": "2 2 1\nH 1",
"output": "2"
},
{
"input": "2 2 2\nV 1\nH 1",
"ou... | 62 | 0 | 0 | 691 | |
729 | Interview with Oleg | [
"implementation",
"strings"
] | null | null | Polycarp has interviewed Oleg and has written the interview down without punctuation marks and spaces to save time. Thus, the interview is now a string *s* consisting of *n* lowercase English letters.
There is a filler word ogo in Oleg's speech. All words that can be obtained from ogo by adding go several times to the end of it are also considered to be fillers. For example, the words ogo, ogogo, ogogogo are fillers, but the words go, og, ogog, ogogog and oggo are not fillers.
The fillers have maximal size, for example, for ogogoo speech we can't consider ogo a filler and goo as a normal phrase. We should consider ogogo as a filler here.
To print the interview, Polycarp has to replace each of the fillers with three asterisks. Note that a filler word is replaced with exactly three asterisks regardless of its length.
Polycarp has dealt with this problem in no time. Can you do the same? The clock is ticking! | The first line contains a positive integer *n* (1<=β€<=*n*<=β€<=100)Β β the length of the interview.
The second line contains the string *s* of length *n*, consisting of lowercase English letters. | Print the interview text after the replacement of each of the fillers with "***". It is allowed for the substring "***" to have several consecutive occurences. | [
"7\naogogob\n",
"13\nogogmgogogogo\n",
"9\nogoogoogo\n"
] | [
"a***b\n",
"***gmg***\n",
"*********\n"
] | The first sample contains one filler word ogogo, so the interview for printing is "a***b".
The second sample contains two fillers ogo and ogogogo. Thus, the interview is transformed to "***gmg***". | [
{
"input": "7\naogogob",
"output": "a***b"
},
{
"input": "13\nogogmgogogogo",
"output": "***gmg***"
},
{
"input": "9\nogoogoogo",
"output": "*********"
},
{
"input": "32\nabcdefogoghijklmnogoopqrstuvwxyz",
"output": "abcdef***ghijklmn***opqrstuvwxyz"
},
{
"input":... | 93 | 7,065,600 | 3 | 698 | |
300 | Array | [
"brute force",
"constructive algorithms",
"implementation"
] | null | null | Vitaly has an array of *n* distinct integers. Vitaly wants to divide this array into three non-empty sets so as the following conditions hold:
1. The product of all numbers in the first set is less than zero (<=<<=0). 1. The product of all numbers in the second set is greater than zero (<=><=0). 1. The product of all numbers in the third set is equal to zero. 1. Each number from the initial array must occur in exactly one set.
Help Vitaly. Divide the given array. | The first line of the input contains integer *n* (3<=β€<=*n*<=β€<=100). The second line contains *n* space-separated distinct integers *a*1,<=*a*2,<=...,<=*a**n* (|*a**i*|<=β€<=103) β the array elements. | In the first line print integer *n*1 (*n*1<=><=0) β the number of elements in the first set. Then print *n*1 numbers β the elements that got to the first set.
In the next line print integer *n*2 (*n*2<=><=0) β the number of elements in the second set. Then print *n*2 numbers β the elements that got to the second set.
In the next line print integer *n*3 (*n*3<=><=0) β the number of elements in the third set. Then print *n*3 numbers β the elements that got to the third set.
The printed sets must meet the described conditions. It is guaranteed that the solution exists. If there are several solutions, you are allowed to print any of them. | [
"3\n-1 2 0\n",
"4\n-1 -2 -3 0\n"
] | [
"1 -1\n1 2\n1 0\n",
"1 -1\n2 -3 -2\n1 0\n"
] | none | [
{
"input": "3\n-1 2 0",
"output": "1 -1\n1 2\n1 0"
},
{
"input": "4\n-1 -2 -3 0",
"output": "1 -1\n2 -3 -2\n1 0"
},
{
"input": "5\n-1 -2 1 2 0",
"output": "1 -1\n2 1 2\n2 0 -2"
},
{
"input": "100\n-64 -51 -75 -98 74 -26 -1 -8 -99 -76 -53 -80 -43 -22 -100 -62 -34 -5 -65 -81 -1... | 216 | 20,172,800 | 0 | 700 | |
982 | Shark | [
"brute force",
"data structures",
"dsu",
"trees"
] | null | null | For long time scientists study the behavior of sharks. Sharks, as many other species, alternate short movements in a certain location and long movements between locations.
Max is a young biologist. For $n$ days he watched a specific shark, and now he knows the distance the shark traveled in each of the days. All the distances are distinct. Max wants to know now how many locations the shark visited. He assumed there is such an integer $k$ that if the shark in some day traveled the distance strictly less than $k$, then it didn't change the location; otherwise, if in one day the shark traveled the distance greater than or equal to $k$; then it was changing a location in that day. Note that it is possible that the shark changed a location for several consecutive days, in each of them the shark traveled the distance at least $k$.
The shark never returned to the same location after it has moved from it. Thus, in the sequence of $n$ days we can find consecutive nonempty segments when the shark traveled the distance less than $k$ in each of the days: each such segment corresponds to one location. Max wants to choose such $k$ that the lengths of all such segments are equal.
Find such integer $k$, that the number of locations is as large as possible. If there are several such $k$, print the smallest one. | The first line contains a single integer $n$ ($1 \leq n \leq 10^5$) β the number of days.
The second line contains $n$ distinct positive integers $a_1, a_2, \ldots, a_n$ ($1 \leq a_i \leq 10^9$) β the distance traveled in each of the day. | Print a single integer $k$, such that
1. the shark was in each location the same number of days, 1. the number of locations is maximum possible satisfying the first condition, 1. $k$ is smallest possible satisfying the first and second conditions. | [
"8\n1 2 7 3 4 8 5 6\n",
"6\n25 1 2 3 14 36\n"
] | [
"7",
"2"
] | In the first example the shark travels inside a location on days $1$ and $2$ (first location), then on $4$-th and $5$-th days (second location), then on $7$-th and $8$-th days (third location). There are three locations in total.
In the second example the shark only moves inside a location on the $2$-nd day, so there is only one location. | [
{
"input": "8\n1 2 7 3 4 8 5 6",
"output": "7"
},
{
"input": "6\n25 1 2 3 14 36",
"output": "2"
},
{
"input": "20\n1 20 2 19 3 18 4 17 5 16 6 15 7 14 8 13 9 12 10 11",
"output": "11"
},
{
"input": "7\n1 2 5 7 3 4 6",
"output": "5"
},
{
"input": "1\n1000000000",
... | 46 | 0 | 0 | 705 | |
31 | Worms Evolution | [
"implementation"
] | A. Worms Evolution | 2 | 256 | Professor Vasechkin is studying evolution of worms. Recently he put forward hypotheses that all worms evolve by division. There are *n* forms of worms. Worms of these forms have lengths *a*1, *a*2, ..., *a**n*. To prove his theory, professor needs to find 3 different forms that the length of the first form is equal to sum of lengths of the other two forms. Help him to do this. | The first line contains integer *n* (3<=β€<=*n*<=β€<=100) β amount of worm's forms. The second line contains *n* space-separated integers *a**i* (1<=β€<=*a**i*<=β€<=1000) β lengths of worms of each form. | Output 3 distinct integers *i* *j* *k* (1<=β€<=*i*,<=*j*,<=*k*<=β€<=*n*) β such indexes of worm's forms that *a**i*<==<=*a**j*<=+<=*a**k*. If there is no such triple, output -1. If there are several solutions, output any of them. It possible that *a**j*<==<=*a**k*. | [
"5\n1 2 3 5 7\n",
"5\n1 8 1 5 1\n"
] | [
"3 2 1\n",
"-1\n"
] | none | [
{
"input": "5\n1 2 3 5 7",
"output": "3 2 1"
},
{
"input": "5\n1 8 1 5 1",
"output": "-1"
},
{
"input": "4\n303 872 764 401",
"output": "-1"
},
{
"input": "6\n86 402 133 524 405 610",
"output": "6 4 1"
},
{
"input": "8\n217 779 418 895 996 473 3 22",
"output":... | 62 | 0 | 0 | 706 |
357 | Group of Students | [
"brute force",
"greedy",
"implementation"
] | null | null | At the beginning of the school year Berland State University starts two city school programming groups, for beginners and for intermediate coders. The children were tested in order to sort them into groups. According to the results, each student got some score from 1 to *m* points. We know that *c*1 schoolchildren got 1 point, *c*2 children got 2 points, ..., *c**m* children got *m* points. Now you need to set the passing rate *k* (integer from 1 to *m*): all schoolchildren who got less than *k* points go to the beginner group and those who get at strictly least *k* points go to the intermediate group. We know that if the size of a group is more than *y*, then the university won't find a room for them. We also know that if a group has less than *x* schoolchildren, then it is too small and there's no point in having classes with it. So, you need to split all schoolchildren into two groups so that the size of each group was from *x* to *y*, inclusive.
Help the university pick the passing rate in a way that meets these requirements. | The first line contains integer *m* (2<=β€<=*m*<=β€<=100). The second line contains *m* integers *c*1, *c*2, ..., *c**m*, separated by single spaces (0<=β€<=*c**i*<=β€<=100). The third line contains two space-separated integers *x* and *y* (1<=β€<=*x*<=β€<=*y*<=β€<=10000). At least one *c**i* is greater than 0. | If it is impossible to pick a passing rate in a way that makes the size of each resulting groups at least *x* and at most *y*, print 0. Otherwise, print an integer from 1 to *m* β the passing rate you'd like to suggest. If there are multiple possible answers, print any of them. | [
"5\n3 4 3 2 1\n6 8\n",
"5\n0 3 3 4 2\n3 10\n",
"2\n2 5\n3 6\n"
] | [
"3\n",
"4\n",
"0\n"
] | In the first sample the beginner group has 7 students, the intermediate group has 6 of them.
In the second sample another correct answer is 3. | [
{
"input": "5\n3 4 3 2 1\n6 8",
"output": "3"
},
{
"input": "5\n0 3 3 4 2\n3 10",
"output": "4"
},
{
"input": "2\n2 5\n3 6",
"output": "0"
},
{
"input": "3\n0 1 0\n2 10",
"output": "0"
},
{
"input": "5\n2 2 2 2 2\n5 5",
"output": "0"
},
{
"input": "10\... | 108 | 0 | 0 | 707 | |
733 | Grasshopper And the String | [
"implementation"
] | null | null | One day, the Grasshopper was jumping on the lawn and found a piece of paper with a string. Grasshopper became interested what is the minimum jump ability he should have in order to be able to reach the far end of the string, jumping only on vowels of the English alphabet. Jump ability is the maximum possible length of his jump.
Formally, consider that at the begginning the Grasshopper is located directly in front of the leftmost character of the string. His goal is to reach the position right after the rightmost character of the string. In one jump the Grasshopper could jump to the right any distance from 1 to the value of his jump ability.
The following letters are vowels: 'A', 'E', 'I', 'O', 'U' and 'Y'. | The first line contains non-empty string consisting of capital English letters. It is guaranteed that the length of the string does not exceed 100. | Print single integer *a*Β β the minimum jump ability of the Grasshopper (in the number of symbols) that is needed to overcome the given string, jumping only on vowels. | [
"ABABBBACFEYUKOTT\n",
"AAA\n"
] | [
"4",
"1"
] | none | [
{
"input": "ABABBBACFEYUKOTT",
"output": "4"
},
{
"input": "AAA",
"output": "1"
},
{
"input": "A",
"output": "1"
},
{
"input": "B",
"output": "2"
},
{
"input": "AEYUIOAEIYAEOUIYOEIUYEAOIUEOEAYOEIUYAEOUIYEOIKLMJNHGTRWSDZXCVBNMHGFDSXVWRTPPPLKMNBXIUOIUOIUOIUOOIU",
... | 109 | 20,172,800 | 3 | 708 | |
913 | Christmas Spruce | [
"implementation",
"trees"
] | null | null | Consider a rooted tree. A rooted tree has one special vertex called the root. All edges are directed from the root. Vertex *u* is called a child of vertex *v* and vertex *v* is called a parent of vertex *u* if there exists a directed edge from *v* to *u*. A vertex is called a leaf if it doesn't have children and has a parent.
Let's call a rooted tree a spruce if its every non-leaf vertex has at least 3 leaf children. You are given a rooted tree, check whether it's a spruce.
The definition of a rooted tree can be found [here](https://goo.gl/1dqvzz). | The first line contains one integer *n*Β β the number of vertices in the tree (3<=β€<=*n*<=β€<=1<=000). Each of the next *n*<=-<=1 lines contains one integer *p**i* (1<=β€<=*i*<=β€<=*n*<=-<=1)Β β the index of the parent of the *i*<=+<=1-th vertex (1<=β€<=*p**i*<=β€<=*i*).
Vertex 1 is the root. It's guaranteed that the root has at least 2 children. | Print "Yes" if the tree is a spruce and "No" otherwise. | [
"4\n1\n1\n1\n",
"7\n1\n1\n1\n2\n2\n2\n",
"8\n1\n1\n1\n1\n3\n3\n3\n"
] | [
"Yes\n",
"No\n",
"Yes\n"
] | The first example:
<img class="tex-graphics" src="https://espresso.codeforces.com/8dd976913226df83d535dfa66193f5525f8471bc.png" style="max-width: 100.0%;max-height: 100.0%;"/>
The second example:
<img class="tex-graphics" src="https://espresso.codeforces.com/44dad5804f5290a2e026c9c41a15151562df8682.png" style="max-width: 100.0%;max-height: 100.0%;"/>
It is not a spruce, because the non-leaf vertex 1 has only 2 leaf children.
The third example:
<img class="tex-graphics" src="https://espresso.codeforces.com/cf84a9e1585707f4ab06eff8eb1120a49b5e1ef7.png" style="max-width: 100.0%;max-height: 100.0%;"/> | [
{
"input": "4\n1\n1\n1",
"output": "Yes"
},
{
"input": "7\n1\n1\n1\n2\n2\n2",
"output": "No"
},
{
"input": "8\n1\n1\n1\n1\n3\n3\n3",
"output": "Yes"
},
{
"input": "3\n1\n1",
"output": "No"
},
{
"input": "13\n1\n2\n2\n2\n1\n6\n6\n6\n1\n10\n10\n10",
"output": "N... | 93 | 307,200 | 0 | 709 | |
609 | USB Flash Drives | [
"greedy",
"implementation",
"sortings"
] | null | null | Sean is trying to save a large file to a USB flash drive. He has *n* USB flash drives with capacities equal to *a*1,<=*a*2,<=...,<=*a**n* megabytes. The file size is equal to *m* megabytes.
Find the minimum number of USB flash drives needed to write Sean's file, if he can split the file between drives. | The first line contains positive integer *n* (1<=β€<=*n*<=β€<=100) β the number of USB flash drives.
The second line contains positive integer *m* (1<=β€<=*m*<=β€<=105) β the size of Sean's file.
Each of the next *n* lines contains positive integer *a**i* (1<=β€<=*a**i*<=β€<=1000) β the sizes of USB flash drives in megabytes.
It is guaranteed that the answer exists, i. e. the sum of all *a**i* is not less than *m*. | Print the minimum number of USB flash drives to write Sean's file, if he can split the file between drives. | [
"3\n5\n2\n1\n3\n",
"3\n6\n2\n3\n2\n",
"2\n5\n5\n10\n"
] | [
"2\n",
"3\n",
"1\n"
] | In the first example Sean needs only two USB flash drives β the first and the third.
In the second example Sean needs all three USB flash drives.
In the third example Sean needs only one USB flash drive and he can use any available USB flash drive β the first or the second. | [
{
"input": "3\n5\n2\n1\n3",
"output": "2"
},
{
"input": "3\n6\n2\n3\n2",
"output": "3"
},
{
"input": "2\n5\n5\n10",
"output": "1"
},
{
"input": "5\n16\n8\n1\n3\n4\n9",
"output": "2"
},
{
"input": "10\n121\n10\n37\n74\n56\n42\n39\n6\n68\n8\n100",
"output": "2"
... | 109 | 0 | 0 | 710 |
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