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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
622 | The Sum of the k-th Powers | [
"math"
] | null | null | There are well-known formulas: , , . Also mathematicians found similar formulas for higher degrees.
Find the value of the sum modulo 109<=+<=7 (so you should find the remainder after dividing the answer by the value 109<=+<=7). | The only line contains two integers *n*,<=*k* (1<=≤<=*n*<=≤<=109,<=0<=≤<=*k*<=≤<=106). | Print the only integer *a* — the remainder after dividing the value of the sum by the value 109<=+<=7. | [
"4 1\n",
"4 2\n",
"4 3\n",
"4 0\n"
] | [
"10\n",
"30\n",
"100\n",
"4\n"
] | none | [
{
"input": "4 1",
"output": "10"
},
{
"input": "4 2",
"output": "30"
},
{
"input": "4 3",
"output": "100"
},
{
"input": "4 0",
"output": "4"
},
{
"input": "10 0",
"output": "10"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 0",
"o... | 2,000 | 171,929,600 | 0 | 1,387 | |
356 | Knight Tournament | [
"data structures",
"dsu"
] | null | null | Hooray! Berl II, the king of Berland is making a knight tournament. The king has already sent the message to all knights in the kingdom and they in turn agreed to participate in this grand event.
As for you, you're just a simple peasant. There's no surprise that you slept in this morning and were late for the tournament (it was a weekend, after all). Now you are really curious about the results of the tournament. This time the tournament in Berland went as follows:
- There are *n* knights participating in the tournament. Each knight was assigned his unique number — an integer from 1 to *n*. - The tournament consisted of *m* fights, in the *i*-th fight the knights that were still in the game with numbers at least *l**i* and at most *r**i* have fought for the right to continue taking part in the tournament. - After the *i*-th fight among all participants of the fight only one knight won — the knight number *x**i*, he continued participating in the tournament. Other knights left the tournament. - The winner of the last (the *m*-th) fight (the knight number *x**m*) became the winner of the tournament.
You fished out all the information about the fights from your friends. Now for each knight you want to know the name of the knight he was conquered by. We think that the knight number *b* was conquered by the knight number *a*, if there was a fight with both of these knights present and the winner was the knight number *a*.
Write the code that calculates for each knight, the name of the knight that beat him. | The first line contains two integers *n*, *m* (2<=≤<=*n*<=≤<=3·105; 1<=≤<=*m*<=≤<=3·105) — the number of knights and the number of fights. Each of the following *m* lines contains three integers *l**i*,<=*r**i*,<=*x**i* (1<=≤<=*l**i*<=<<=*r**i*<=≤<=*n*; *l**i*<=≤<=*x**i*<=≤<=*r**i*) — the description of the *i*-th fight.
It is guaranteed that the input is correct and matches the problem statement. It is guaranteed that at least two knights took part in each battle. | Print *n* integers. If the *i*-th knight lost, then the *i*-th number should equal the number of the knight that beat the knight number *i*. If the *i*-th knight is the winner, then the *i*-th number must equal 0. | [
"4 3\n1 2 1\n1 3 3\n1 4 4\n",
"8 4\n3 5 4\n3 7 6\n2 8 8\n1 8 1\n"
] | [
"3 1 4 0 ",
"0 8 4 6 4 8 6 1 "
] | Consider the first test case. Knights 1 and 2 fought the first fight and knight 1 won. Knights 1 and 3 fought the second fight and knight 3 won. The last fight was between knights 3 and 4, knight 4 won. | [
{
"input": "4 3\n1 2 1\n1 3 3\n1 4 4",
"output": "3 1 4 0 "
},
{
"input": "8 4\n3 5 4\n3 7 6\n2 8 8\n1 8 1",
"output": "0 8 4 6 4 8 6 1 "
},
{
"input": "2 1\n1 2 1",
"output": "0 1 "
},
{
"input": "2 1\n1 2 2",
"output": "2 0 "
},
{
"input": "3 1\n1 3 1",
"out... | 31 | 0 | 0 | 1,391 | |
225 | Dice Tower | [
"constructive algorithms",
"greedy"
] | null | null | A dice is a cube, its faces contain distinct integers from 1 to 6 as black points. The sum of numbers at the opposite dice faces always equals 7. Please note that there are only two dice (these dices are mirror of each other) that satisfy the given constraints (both of them are shown on the picture on the left).
Alice and Bob play dice. Alice has built a tower from *n* dice. We know that in this tower the adjacent dice contact with faces with distinct numbers. Bob wants to uniquely identify the numbers written on the faces of all dice, from which the tower is built. Unfortunately, Bob is looking at the tower from the face, and so he does not see all the numbers on the faces. Bob sees the number on the top of the tower and the numbers on the two adjacent sides (on the right side of the picture shown what Bob sees).
Help Bob, tell whether it is possible to uniquely identify the numbers on the faces of all the dice in the tower, or not. | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of dice in the tower.
The second line contains an integer *x* (1<=≤<=*x*<=≤<=6) — the number Bob sees at the top of the tower. Next *n* lines contain two space-separated integers each: the *i*-th line contains numbers *a**i*,<=*b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=6; *a**i*<=≠<=*b**i*) — the numbers Bob sees on the two sidelong faces of the *i*-th dice in the tower.
Consider the dice in the tower indexed from top to bottom from 1 to *n*. That is, the topmost dice has index 1 (the dice whose top face Bob can see). It is guaranteed that it is possible to make a dice tower that will look as described in the input. | Print "YES" (without the quotes), if it is possible to to uniquely identify the numbers on the faces of all the dice in the tower. If it is impossible, print "NO" (without the quotes). | [
"3\n6\n3 2\n5 4\n2 4\n",
"3\n3\n2 6\n4 1\n5 3\n"
] | [
"YES",
"NO"
] | none | [
{
"input": "3\n6\n3 2\n5 4\n2 4",
"output": "YES"
},
{
"input": "3\n3\n2 6\n4 1\n5 3",
"output": "NO"
},
{
"input": "1\n3\n2 1",
"output": "YES"
},
{
"input": "2\n2\n3 1\n1 5",
"output": "NO"
},
{
"input": "3\n2\n1 4\n5 3\n6 4",
"output": "NO"
},
{
"in... | 30 | 0 | 0 | 1,395 | |
0 | none | [
"none"
] | null | null | One day student Vasya was sitting on a lecture and mentioned a string *s*1*s*2... *s**n*, consisting of letters "a", "b" and "c" that was written on his desk. As the lecture was boring, Vasya decided to complete the picture by composing a graph *G* with the following properties:
- *G* has exactly *n* vertices, numbered from 1 to *n*. - For all pairs of vertices *i* and *j*, where *i*<=≠<=*j*, there is an edge connecting them if and only if characters *s**i* and *s**j* are either equal or neighbouring in the alphabet. That is, letters in pairs "a"-"b" and "b"-"c" are neighbouring, while letters "a"-"c" are not.
Vasya painted the resulting graph near the string and then erased the string. Next day Vasya's friend Petya came to a lecture and found some graph at his desk. He had heard of Vasya's adventure and now he wants to find out whether it could be the original graph *G*, painted by Vasya. In order to verify this, Petya needs to know whether there exists a string *s*, such that if Vasya used this *s* he would produce the given graph *G*. | The first line of the input contains two integers *n* and *m* — the number of vertices and edges in the graph found by Petya, respectively.
Each of the next *m* lines contains two integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*,<=*u**i*<=≠<=*v**i*) — the edges of the graph *G*. It is guaranteed, that there are no multiple edges, that is any pair of vertexes appear in this list no more than once. | In the first line print "Yes" (without the quotes), if the string *s* Petya is interested in really exists and "No" (without the quotes) otherwise.
If the string *s* exists, then print it on the second line of the output. The length of *s* must be exactly *n*, it must consist of only letters "a", "b" and "c" only, and the graph built using this string must coincide with *G*. If there are multiple possible answers, you may print any of them. | [
"2 1\n1 2\n",
"4 3\n1 2\n1 3\n1 4\n"
] | [
"Yes\naa\n",
"No\n"
] | In the first sample you are given a graph made of two vertices with an edge between them. So, these vertices can correspond to both the same and adjacent letters. Any of the following strings "aa", "ab", "ba", "bb", "bc", "cb", "cc" meets the graph's conditions.
In the second sample the first vertex is connected to all three other vertices, but these three vertices are not connected with each other. That means that they must correspond to distinct letters that are not adjacent, but that is impossible as there are only two such letters: a and c. | [
{
"input": "2 1\n1 2",
"output": "Yes\naa"
},
{
"input": "4 3\n1 2\n1 3\n1 4",
"output": "No"
},
{
"input": "4 4\n1 2\n1 3\n1 4\n3 4",
"output": "Yes\nbacc"
},
{
"input": "1 0",
"output": "Yes\na"
},
{
"input": "8 28\n3 2\n4 2\n7 4\n6 3\n3 7\n8 1\n3 4\n5 1\n6 5\n5... | 77 | 5,120,000 | 0 | 1,401 | |
818 | Card Game Again | [
"binary search",
"data structures",
"number theory",
"two pointers"
] | null | null | Vova again tries to play some computer card game.
The rules of deck creation in this game are simple. Vova is given an existing deck of *n* cards and a magic number *k*. The order of the cards in the deck is fixed. Each card has a number written on it; number *a**i* is written on the *i*-th card in the deck.
After receiving the deck and the magic number, Vova removes *x* (possibly *x*<==<=0) cards from the top of the deck, *y* (possibly *y*<==<=0) cards from the bottom of the deck, and the rest of the deck is his new deck (Vova has to leave at least one card in the deck after removing cards). So Vova's new deck actually contains cards *x*<=+<=1, *x*<=+<=2, ... *n*<=-<=*y*<=-<=1, *n*<=-<=*y* from the original deck.
Vova's new deck is considered valid iff the product of all numbers written on the cards in his new deck is divisible by *k*. So Vova received a deck (possibly not a valid one) and a number *k*, and now he wonders, how many ways are there to choose *x* and *y* so the deck he will get after removing *x* cards from the top and *y* cards from the bottom is valid? | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000, 1<=≤<=*k*<=≤<=109).
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=109) — the numbers written on the cards. | Print the number of ways to choose *x* and *y* so the resulting deck is valid. | [
"3 4\n6 2 8\n",
"3 6\n9 1 14\n"
] | [
"4\n",
"1\n"
] | In the first example the possible values of *x* and *y* are:
1. *x* = 0, *y* = 0; 1. *x* = 1, *y* = 0; 1. *x* = 2, *y* = 0; 1. *x* = 0, *y* = 1. | [
{
"input": "3 4\n6 2 8",
"output": "4"
},
{
"input": "3 6\n9 1 14",
"output": "1"
},
{
"input": "5 1\n1 3 1 3 1",
"output": "15"
},
{
"input": "5 1\n5 5 5 5 5",
"output": "15"
},
{
"input": "5 1\n5 4 4 4 4",
"output": "15"
},
{
"input": "100 1\n1 1 1 1... | 77 | 7,065,600 | 0 | 1,404 | |
831 | Unimodal Array | [
"implementation"
] | null | null | Array of integers is unimodal, if:
- it is strictly increasing in the beginning; - after that it is constant; - after that it is strictly decreasing.
The first block (increasing) and the last block (decreasing) may be absent. It is allowed that both of this blocks are absent.
For example, the following three arrays are unimodal: [5,<=7,<=11,<=11,<=2,<=1], [4,<=4,<=2], [7], but the following three are not unimodal: [5,<=5,<=6,<=6,<=1], [1,<=2,<=1,<=2], [4,<=5,<=5,<=6].
Write a program that checks if an array is unimodal. | The first line contains integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in the array.
The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1<=000) — the elements of the array. | Print "YES" if the given array is unimodal. Otherwise, print "NO".
You can output each letter in any case (upper or lower). | [
"6\n1 5 5 5 4 2\n",
"5\n10 20 30 20 10\n",
"4\n1 2 1 2\n",
"7\n3 3 3 3 3 3 3\n"
] | [
"YES\n",
"YES\n",
"NO\n",
"YES\n"
] | In the first example the array is unimodal, because it is strictly increasing in the beginning (from position 1 to position 2, inclusively), that it is constant (from position 2 to position 4, inclusively) and then it is strictly decreasing (from position 4 to position 6, inclusively). | [
{
"input": "6\n1 5 5 5 4 2",
"output": "YES"
},
{
"input": "5\n10 20 30 20 10",
"output": "YES"
},
{
"input": "4\n1 2 1 2",
"output": "NO"
},
{
"input": "7\n3 3 3 3 3 3 3",
"output": "YES"
},
{
"input": "6\n5 7 11 11 2 1",
"output": "YES"
},
{
"input":... | 15 | 0 | 0 | 1,405 | |
32 | Reconnaissance | [
"brute force"
] | A. Reconnaissance | 2 | 256 | According to the regulations of Berland's army, a reconnaissance unit should consist of exactly two soldiers. Since these two soldiers shouldn't differ much, their heights can differ by at most *d* centimeters. Captain Bob has *n* soldiers in his detachment. Their heights are *a*1,<=*a*2,<=...,<=*a**n* centimeters. Some soldiers are of the same height. Bob wants to know, how many ways exist to form a reconnaissance unit of two soldiers from his detachment.
Ways (1,<=2) and (2,<=1) should be regarded as different. | The first line contains two integers *n* and *d* (1<=≤<=*n*<=≤<=1000,<=1<=≤<=*d*<=≤<=109) — amount of soldiers in Bob's detachment and the maximum allowed height difference respectively. The second line contains *n* space-separated integers — heights of all the soldiers in Bob's detachment. These numbers don't exceed 109. | Output one number — amount of ways to form a reconnaissance unit of two soldiers, whose height difference doesn't exceed *d*. | [
"5 10\n10 20 50 60 65\n",
"5 1\n55 30 29 31 55\n"
] | [
"6\n",
"6\n"
] | none | [
{
"input": "5 10\n10 20 50 60 65",
"output": "6"
},
{
"input": "5 1\n55 30 29 31 55",
"output": "6"
},
{
"input": "6 10\n4 6 4 1 9 3",
"output": "30"
},
{
"input": "7 100\n19 1694 261 162 1 234 513",
"output": "8"
},
{
"input": "8 42\n37 53 74 187 568 22 5 65",
... | 62 | 0 | 0 | 1,409 |
262 | Roma and Lucky Numbers | [
"implementation"
] | null | null | Roma (a popular Russian name that means 'Roman') loves the Little Lvov Elephant's lucky numbers.
Let us remind you that lucky numbers are positive integers whose decimal representation only contains lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Roma's got *n* positive integers. He wonders, how many of those integers have not more than *k* lucky digits? Help him, write the program that solves the problem. | The first line contains two integers *n*, *k* (1<=≤<=*n*,<=*k*<=≤<=100). The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the numbers that Roma has.
The numbers in the lines are separated by single spaces. | In a single line print a single integer — the answer to the problem. | [
"3 4\n1 2 4\n",
"3 2\n447 44 77\n"
] | [
"3\n",
"2\n"
] | In the first sample all numbers contain at most four lucky digits, so the answer is 3.
In the second sample number 447 doesn't fit in, as it contains more than two lucky digits. All other numbers are fine, so the answer is 2. | [
{
"input": "3 4\n1 2 4",
"output": "3"
},
{
"input": "3 2\n447 44 77",
"output": "2"
},
{
"input": "2 2\n507978501 180480073",
"output": "2"
},
{
"input": "9 6\n655243746 167613748 1470546 57644035 176077477 56984809 44677 215706823 369042089",
"output": "9"
},
{
... | 186 | 6,656,000 | 3 | 1,411 | |
801 | Vicious Keyboard | [
"brute force"
] | null | null | Tonio has a keyboard with only two letters, "V" and "K".
One day, he has typed out a string *s* with only these two letters. He really likes it when the string "VK" appears, so he wishes to change at most one letter in the string (or do no changes) to maximize the number of occurrences of that string. Compute the maximum number of times "VK" can appear as a substring (i. e. a letter "K" right after a letter "V") in the resulting string. | The first line will contain a string *s* consisting only of uppercase English letters "V" and "K" with length not less than 1 and not greater than 100. | Output a single integer, the maximum number of times "VK" can appear as a substring of the given string after changing at most one character. | [
"VK\n",
"VV\n",
"V\n",
"VKKKKKKKKKVVVVVVVVVK\n",
"KVKV\n"
] | [
"1\n",
"1\n",
"0\n",
"3\n",
"1\n"
] | For the first case, we do not change any letters. "VK" appears once, which is the maximum number of times it could appear.
For the second case, we can change the second character from a "V" to a "K". This will give us the string "VK". This has one occurrence of the string "VK" as a substring.
For the fourth case, we can change the fourth character from a "K" to a "V". This will give us the string "VKKVKKKKKKVVVVVVVVVK". This has three occurrences of the string "VK" as a substring. We can check no other moves can give us strictly more occurrences. | [
{
"input": "VK",
"output": "1"
},
{
"input": "VV",
"output": "1"
},
{
"input": "V",
"output": "0"
},
{
"input": "VKKKKKKKKKVVVVVVVVVK",
"output": "3"
},
{
"input": "KVKV",
"output": "1"
},
{
"input": "VKKVVVKVKVK",
"output": "5"
},
{
"input... | 77 | 5,529,600 | 3 | 1,413 | |
637 | Chat Order | [
"*special",
"binary search",
"constructive algorithms",
"data structures",
"sortings"
] | null | null | Polycarp is a big lover of killing time in social networks. A page with a chatlist in his favourite network is made so that when a message is sent to some friend, his friend's chat rises to the very top of the page. The relative order of the other chats doesn't change. If there was no chat with this friend before, then a new chat is simply inserted to the top of the list.
Assuming that the chat list is initially empty, given the sequence of Polycaprus' messages make a list of chats after all of his messages are processed. Assume that no friend wrote any message to Polycarpus. | The first line contains integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of Polycarpus' messages. Next *n* lines enlist the message recipients in the order in which the messages were sent. The name of each participant is a non-empty sequence of lowercase English letters of length at most 10. | Print all the recipients to who Polycarp talked to in the order of chats with them, from top to bottom. | [
"4\nalex\nivan\nroman\nivan\n",
"8\nalina\nmaria\nekaterina\ndarya\ndarya\nekaterina\nmaria\nalina\n"
] | [
"ivan\nroman\nalex\n",
"alina\nmaria\nekaterina\ndarya\n"
] | In the first test case Polycarpus first writes to friend by name "alex", and the list looks as follows:
1. alex
Then Polycarpus writes to friend by name "ivan" and the list looks as follows:
1. ivan 1. alex
Polycarpus writes the third message to friend by name "roman" and the list looks as follows:
1. roman 1. ivan 1. alex
Polycarpus writes the fourth message to friend by name "ivan", to who he has already sent a message, so the list of chats changes as follows:
1. ivan 1. roman 1. alex | [
{
"input": "4\nalex\nivan\nroman\nivan",
"output": "ivan\nroman\nalex"
},
{
"input": "8\nalina\nmaria\nekaterina\ndarya\ndarya\nekaterina\nmaria\nalina",
"output": "alina\nmaria\nekaterina\ndarya"
},
{
"input": "1\nwdi",
"output": "wdi"
},
{
"input": "2\nypg\nypg",
"outpu... | 514 | 28,569,600 | 3 | 1,416 | |
104 | Blackjack | [
"implementation"
] | A. Blackjack | 2 | 256 | One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals *n*, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals *n*. | The only line contains *n* (1<=≤<=*n*<=≤<=25) — the required sum of points. | Print the numbers of ways to get the second card in the required way if the first card is the queen of spades. | [
"12\n",
"20\n",
"10\n"
] | [
"4",
"15",
"0"
] | In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points. | [
{
"input": "12",
"output": "4"
},
{
"input": "20",
"output": "15"
},
{
"input": "10",
"output": "0"
},
{
"input": "11",
"output": "4"
},
{
"input": "15",
"output": "4"
},
{
"input": "18",
"output": "4"
},
{
"input": "25",
"output": "0"
... | 122 | 4,710,400 | 0 | 1,417 |
914 | Substrings in a String | [
"bitmasks",
"brute force",
"data structures",
"string suffix structures",
"strings"
] | null | null | Given a string *s*, process *q* queries, each having one of the following forms:
- 1<=*i*<=*c* — Change the *i*-th character in the string to *c*. - 2<=*l*<=*r*<=*y* — Consider the substring of *s* starting at position *l* and ending at position *r*. Output the number of times *y* occurs as a substring in it. | The first line of the input contains the string *s* (1<=≤<=|*s*|<=≤<=105) of lowercase English letters.
The second line contains an integer *q* (1<=≤<=*q*<=≤<=105) — the number of queries to process.
The next *q* lines describe the queries and may have one of the following forms:
- 1<=*i*<=*c* (1<=≤<=*i*<=≤<=|*s*|) - 2<=*l*<=*r*<=*y* (1<=≤<=*l*<=≤<=*r*<=≤<=|*s*|)
*c* is a lowercase English letter and *y* is a non-empty string consisting of only lowercase English letters.
The sum of |*y*| over all queries of second type is at most 105.
It is guaranteed that there is at least one query of second type.
All strings are 1-indexed.
|*s*| is the length of the string *s*. | For each query of type 2, output the required answer in a separate line. | [
"ababababa\n3\n2 1 7 aba\n1 5 c\n2 1 7 aba\n",
"abcdcbc\n5\n2 1 7 bc\n1 4 b\n2 4 7 bc\n1 2 a\n2 1 4 aa\n"
] | [
"3\n1\n",
"2\n2\n1\n"
] | Consider the first sample case. Initially, the string aba occurs 3 times in the range [1, 7]. Note that two occurrences may overlap.
After the update, the string becomes ababcbaba and now aba occurs only once in the range [1, 7]. | [] | 15 | 0 | 0 | 1,418 | |
479 | Expression | [
"brute force",
"math"
] | null | null | Petya studies in a school and he adores Maths. His class has been studying arithmetic expressions. On the last class the teacher wrote three positive integers *a*, *b*, *c* on the blackboard. The task was to insert signs of operations '+' and '*', and probably brackets between the numbers so that the value of the resulting expression is as large as possible. Let's consider an example: assume that the teacher wrote numbers 1, 2 and 3 on the blackboard. Here are some ways of placing signs and brackets:
- 1+2*3=7 - 1*(2+3)=5 - 1*2*3=6 - (1+2)*3=9
Note that you can insert operation signs only between *a* and *b*, and between *b* and *c*, that is, you cannot swap integers. For instance, in the given sample you cannot get expression (1+3)*2.
It's easy to see that the maximum value that you can obtain is 9.
Your task is: given *a*, *b* and *c* print the maximum value that you can get. | The input contains three integers *a*, *b* and *c*, each on a single line (1<=≤<=*a*,<=*b*,<=*c*<=≤<=10). | Print the maximum value of the expression that you can obtain. | [
"1\n2\n3\n",
"2\n10\n3\n"
] | [
"9\n",
"60\n"
] | none | [
{
"input": "1\n2\n3",
"output": "9"
},
{
"input": "2\n10\n3",
"output": "60"
},
{
"input": "1\n1\n1",
"output": "3"
},
{
"input": "1\n2\n1",
"output": "4"
},
{
"input": "10\n10\n10",
"output": "1000"
},
{
"input": "5\n1\n3",
"output": "20"
},
{... | 31 | 0 | -1 | 1,420 | |
14 | Young Photographer | [
"implementation"
] | B. Young Photographer | 2 | 64 | Among other things, Bob is keen on photography. Especially he likes to take pictures of sportsmen. That was the reason why he placed himself in position *x*0 of a long straight racetrack and got ready to take pictures. But the problem was that not all the runners passed him. The total amount of sportsmen, training at that racetrack, equals *n*. And each of them regularly runs distances within a particular segment of the racetrack, which is the same for each sportsman. For example, the first sportsman runs from position *a*1 to position *b*1, the second — from *a*2 to *b*2
What is the minimum distance that Bob should move to have a chance to take pictures of each sportsman? Bob can take a picture of a sportsman, if he stands within the segment that this sportsman covers on the racetrack. | The first line of the input file contains integers *n* and *x*0 (1<=≤<=*n*<=≤<=100; 0<=≤<=*x*0<=≤<=1000). The following *n* lines contain pairs of integers *a**i*,<=*b**i* (0<=≤<=*a**i*,<=*b**i*<=≤<=1000; *a**i*<=≠<=*b**i*). | Output the required minimum distance in the same units as the positions on the racetrack. If there is no such a position, output -1. | [
"3 3\n0 7\n14 2\n4 6\n"
] | [
"1\n"
] | none | [
{
"input": "3 3\n0 7\n14 2\n4 6",
"output": "1"
},
{
"input": "1 1\n0 10",
"output": "0"
},
{
"input": "2 2\n1 2\n3 2",
"output": "0"
},
{
"input": "3 2\n1 2\n2 3\n3 4",
"output": "-1"
},
{
"input": "2 4\n10 4\n1 5",
"output": "0"
},
{
"input": "1 10\n... | 310 | 3,584,000 | 0 | 1,421 |
158 | Taxi | [
"*special",
"greedy",
"implementation"
] | null | null | After the lessons *n* groups of schoolchildren went outside and decided to visit Polycarpus to celebrate his birthday. We know that the *i*-th group consists of *s**i* friends (1<=≤<=*s**i*<=≤<=4), and they want to go to Polycarpus together. They decided to get there by taxi. Each car can carry at most four passengers. What minimum number of cars will the children need if all members of each group should ride in the same taxi (but one taxi can take more than one group)? | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of groups of schoolchildren. The second line contains a sequence of integers *s*1,<=*s*2,<=...,<=*s**n* (1<=≤<=*s**i*<=≤<=4). The integers are separated by a space, *s**i* is the number of children in the *i*-th group. | Print the single number — the minimum number of taxis necessary to drive all children to Polycarpus. | [
"5\n1 2 4 3 3\n",
"8\n2 3 4 4 2 1 3 1\n"
] | [
"4\n",
"5\n"
] | In the first test we can sort the children into four cars like this:
- the third group (consisting of four children), - the fourth group (consisting of three children), - the fifth group (consisting of three children), - the first and the second group (consisting of one and two children, correspondingly).
There are other ways to sort the groups into four cars. | [
{
"input": "5\n1 2 4 3 3",
"output": "4"
},
{
"input": "8\n2 3 4 4 2 1 3 1",
"output": "5"
},
{
"input": "5\n4 4 4 4 4",
"output": "5"
},
{
"input": "12\n1 1 1 1 1 1 1 1 1 1 1 1",
"output": "3"
},
{
"input": "2\n2 1",
"output": "1"
},
{
"input": "4\n3 ... | 156 | 3,481,600 | 3 | 1,430 | |
149 | Division into Teams | [
"greedy",
"math",
"sortings"
] | null | null | Petya loves football very much, especially when his parents aren't home. Each morning he comes to the yard, gathers his friends and they play all day. From time to time they have a break to have some food or do some chores (for example, water the flowers).
The key in football is to divide into teams fairly before the game begins. There are *n* boys playing football in the yard (including Petya), each boy's football playing skill is expressed with a non-negative characteristic *a**i* (the larger it is, the better the boy plays).
Let's denote the number of players in the first team as *x*, the number of players in the second team as *y*, the individual numbers of boys who play for the first team as *p**i* and the individual numbers of boys who play for the second team as *q**i*. Division *n* boys into two teams is considered fair if three conditions are fulfilled:
- Each boy plays for exactly one team (*x*<=+<=*y*<==<=*n*). - The sizes of teams differ in no more than one (|*x*<=-<=*y*|<=≤<=1). - The total football playing skills for two teams differ in no more than by the value of skill the best player in the yard has. More formally:
Your task is to help guys divide into two teams fairly. It is guaranteed that a fair division into two teams always exists. | The first line contains the only integer *n* (2<=≤<=*n*<=≤<=105) which represents the number of guys in the yard. The next line contains *n* positive space-separated integers, *a**i* (1<=≤<=*a**i*<=≤<=104), the *i*-th number represents the *i*-th boy's playing skills. | On the first line print an integer *x* — the number of boys playing for the first team. On the second line print *x* integers — the individual numbers of boys playing for the first team. On the third line print an integer *y* — the number of boys playing for the second team, on the fourth line print *y* integers — the individual numbers of boys playing for the second team. Don't forget that you should fulfil all three conditions: *x*<=+<=*y*<==<=*n*, |*x*<=-<=*y*|<=≤<=1, and the condition that limits the total skills.
If there are multiple ways to solve the problem, print any of them.
The boys are numbered starting from one in the order in which their skills are given in the input data. You are allowed to print individual numbers of boys who belong to the same team in any order. | [
"3\n1 2 1\n",
"5\n2 3 3 1 1\n"
] | [
"2\n1 2 \n1\n3 \n",
"3\n4 1 3 \n2\n5 2 \n"
] | Let's consider the first sample test. There we send the first and the second boy to the first team and the third boy to the second team. Let's check all three conditions of a fair division. The first limitation is fulfilled (all boys play), the second limitation on the sizes of groups (|2 - 1| = 1 ≤ 1) is fulfilled, the third limitation on the difference in skills ((2 + 1) - (1) = 2 ≤ 2) is fulfilled. | [
{
"input": "3\n1 2 1",
"output": "2\n1 2 \n1\n3 "
},
{
"input": "5\n2 3 3 1 1",
"output": "3\n4 1 3 \n2\n5 2 "
},
{
"input": "10\n2 2 2 2 2 2 2 1 2 2",
"output": "5\n8 2 4 6 9 \n5\n1 3 5 7 10 "
},
{
"input": "10\n2 3 3 1 3 1 1 1 2 2",
"output": "5\n4 7 1 10 3 \n5\n6 8 9 2... | 280 | 9,830,400 | 3 | 1,431 | |
54 | Presents | [
"implementation"
] | A. Presents | 2 | 256 | The Hedgehog likes to give presents to his friend, but no less he likes to receive them.
Having received another present today, the Hedgehog suddenly understood that he has no place to put it as there was no room left on the special shelf in the cupboard. He will have to choose another shelf, but which one should he choose, how large should it be?
In order to get to know this, the Hedgehog asks you to write him a program that will count the estimated number of presents that he will receive during the following *N* days. Besides, he is guided by the principle:
- on each holiday day the Hedgehog will necessarily receive a present, - he receives presents at least every *K* days (i.e., if he received a present on the *i*-th day, he will receive the next present no later than on the *i*<=+<=*K*-th day).
For the given *N* and *K*, as well as the list of holidays among the following *N* days count the minimal number of presents that could be given to the Hedgehog. The number of today's day is zero, and you should regard today's present as already given (i.e., you shouldn't count it in the answer). | The first line contains integers *N* and *K* (1<=≤<=*N*<=≤<=365, 1<=≤<=*K*<=≤<=*N*).
The second line contains a number *C* which represents the number of holidays (0<=≤<=*C*<=≤<=*N*). Then in the same line follow *C* numbers ranging from 1 to *N* which are the numbers of holiday days. The numbers are given in the increasing order, without repeating numbers among them. | Print a single number — the minimal number of presents the Hedgehog will receive over the following *N* days. | [
"5 2\n1 3\n",
"10 1\n3 6 7 8\n"
] | [
"3",
"10"
] | none | [
{
"input": "5 2\n1 3",
"output": "3"
},
{
"input": "10 1\n3 6 7 8",
"output": "10"
},
{
"input": "5 5\n1 3",
"output": "1"
},
{
"input": "10 3\n3 3 6 9",
"output": "3"
},
{
"input": "5 2\n0",
"output": "2"
},
{
"input": "1 1\n0",
"output": "1"
},... | 62 | 0 | 0 | 1,433 |
471 | MUH and Cube Walls | [
"string suffix structures",
"strings"
] | null | null | Polar bears Menshykov and Uslada from the zoo of St. Petersburg and elephant Horace from the zoo of Kiev got hold of lots of wooden cubes somewhere. They started making cube towers by placing the cubes one on top of the other. They defined multiple towers standing in a line as a wall. A wall can consist of towers of different heights.
Horace was the first to finish making his wall. He called his wall an elephant. The wall consists of *w* towers. The bears also finished making their wall but they didn't give it a name. Their wall consists of *n* towers. Horace looked at the bears' tower and wondered: in how many parts of the wall can he "see an elephant"? He can "see an elephant" on a segment of *w* contiguous towers if the heights of the towers on the segment match as a sequence the heights of the towers in Horace's wall. In order to see as many elephants as possible, Horace can raise and lower his wall. He even can lower the wall below the ground level (see the pictures to the samples for clarification).
Your task is to count the number of segments where Horace can "see an elephant". | The first line contains two integers *n* and *w* (1<=≤<=*n*,<=*w*<=≤<=2·105) — the number of towers in the bears' and the elephant's walls correspondingly. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=109) — the heights of the towers in the bears' wall. The third line contains *w* integers *b**i* (1<=≤<=*b**i*<=≤<=109) — the heights of the towers in the elephant's wall. | Print the number of segments in the bears' wall where Horace can "see an elephant". | [
"13 5\n2 4 5 5 4 3 2 2 2 3 3 2 1\n3 4 4 3 2\n"
] | [
"2"
] | The picture to the left shows Horace's wall from the sample, the picture to the right shows the bears' wall. The segments where Horace can "see an elephant" are in gray. | [
{
"input": "13 5\n2 4 5 5 4 3 2 2 2 3 3 2 1\n3 4 4 3 2",
"output": "2"
},
{
"input": "5 1\n8 71 1 24 2\n31",
"output": "5"
},
{
"input": "6 3\n2 2 2 2 2 2\n5 5 5",
"output": "4"
},
{
"input": "1 1\n576560149\n691846236",
"output": "1"
},
{
"input": "10 5\n5 10 8 1... | 15 | 0 | -1 | 1,436 | |
436 | Feed with Candy | [
"greedy"
] | null | null | The hero of the Cut the Rope game is a little monster named Om Nom. He loves candies. And what a coincidence! He also is the hero of today's problem.
One day, Om Nom visited his friend Evan. Evan has *n* candies of two types (fruit drops and caramel drops), the *i*-th candy hangs at the height of *h**i* centimeters above the floor of the house, its mass is *m**i*. Om Nom wants to eat as many candies as possible. At the beginning Om Nom can make at most *x* centimeter high jumps. When Om Nom eats a candy of mass *y*, he gets stronger and the height of his jump increases by *y* centimeters.
What maximum number of candies can Om Nom eat if he never eats two candies of the same type in a row (Om Nom finds it too boring)? | The first line contains two integers, *n* and *x* (1<=≤<=*n*,<=*x*<=≤<=2000) — the number of sweets Evan has and the initial height of Om Nom's jump.
Each of the following *n* lines contains three integers *t**i*,<=*h**i*,<=*m**i* (0<=≤<=*t**i*<=≤<=1; 1<=≤<=*h**i*,<=*m**i*<=≤<=2000) — the type, height and the mass of the *i*-th candy. If number *t**i* equals 0, then the current candy is a caramel drop, otherwise it is a fruit drop. | Print a single integer — the maximum number of candies Om Nom can eat. | [
"5 3\n0 2 4\n1 3 1\n0 8 3\n0 20 10\n1 5 5\n"
] | [
"4\n"
] | One of the possible ways to eat 4 candies is to eat them in the order: 1, 5, 3, 2. Let's assume the following scenario:
1. Initially, the height of Om Nom's jump equals 3. He can reach candies 1 and 2. Let's assume that he eats candy 1. As the mass of this candy equals 4, the height of his jump will rise to 3 + 4 = 7. 1. Now Om Nom can reach candies 2 and 5. Let's assume that he eats candy 5. Then the height of his jump will be 7 + 5 = 12. 1. At this moment, Om Nom can reach two candies, 2 and 3. He won't eat candy 2 as its type matches the type of the previously eaten candy. Om Nom eats candy 3, the height of his jump is 12 + 3 = 15. 1. Om Nom eats candy 2, the height of his jump is 15 + 1 = 16. He cannot reach candy 4. | [
{
"input": "5 3\n0 2 4\n1 3 1\n0 8 3\n0 20 10\n1 5 5",
"output": "4"
},
{
"input": "5 2\n1 15 2\n1 11 2\n0 17 2\n0 16 1\n1 18 2",
"output": "0"
},
{
"input": "6 2\n1 17 3\n1 6 1\n0 4 2\n1 10 1\n1 7 3\n1 5 1",
"output": "0"
},
{
"input": "7 2\n1 14 1\n1 9 2\n0 6 3\n0 20 2\n0 4... | 545 | 819,200 | 3 | 1,438 | |
842 | Gleb And Pizza | [
"geometry"
] | null | null | Gleb ordered pizza home. When the courier delivered the pizza, he was very upset, because several pieces of sausage lay on the crust, and he does not really like the crust.
The pizza is a circle of radius *r* and center at the origin. Pizza consists of the main part — circle of radius *r*<=-<=*d* with center at the origin, and crust around the main part of the width *d*. Pieces of sausage are also circles. The radius of the *i* -th piece of the sausage is *r**i*, and the center is given as a pair (*x**i*, *y**i*).
Gleb asks you to help determine the number of pieces of sausage caught on the crust. A piece of sausage got on the crust, if it completely lies on the crust. | First string contains two integer numbers *r* and *d* (0<=≤<=*d*<=<<=*r*<=≤<=500) — the radius of pizza and the width of crust.
Next line contains one integer number *n* — the number of pieces of sausage (1<=≤<=*n*<=≤<=105).
Each of next *n* lines contains three integer numbers *x**i*, *y**i* and *r**i* (<=-<=500<=≤<=*x**i*,<=*y**i*<=≤<=500, 0<=≤<=*r**i*<=≤<=500), where *x**i* and *y**i* are coordinates of the center of *i*-th peace of sausage, *r**i* — radius of *i*-th peace of sausage. | Output the number of pieces of sausage that lay on the crust. | [
"8 4\n7\n7 8 1\n-7 3 2\n0 2 1\n0 -2 2\n-3 -3 1\n0 6 2\n5 3 1\n",
"10 8\n4\n0 0 9\n0 0 10\n1 0 1\n1 0 2\n"
] | [
"2\n",
"0\n"
] | Below is a picture explaining the first example. Circles of green color denote pieces of sausage lying on the crust. | [
{
"input": "8 4\n7\n7 8 1\n-7 3 2\n0 2 1\n0 -2 2\n-3 -3 1\n0 6 2\n5 3 1",
"output": "2"
},
{
"input": "10 8\n4\n0 0 9\n0 0 10\n1 0 1\n1 0 2",
"output": "0"
},
{
"input": "1 0\n1\n1 1 0",
"output": "0"
},
{
"input": "3 0\n5\n3 0 0\n0 3 0\n-3 0 0\n0 -3 0\n3 0 1",
"output": ... | 124 | 0 | 0 | 1,439 | |
813 | Army Creation | [
"binary search",
"data structures"
] | null | null | As you might remember from our previous rounds, Vova really likes computer games. Now he is playing a strategy game known as Rage of Empires.
In the game Vova can hire *n* different warriors; *i*th warrior has the type *a**i*. Vova wants to create a balanced army hiring some subset of warriors. An army is called balanced if for each type of warrior present in the game there are not more than *k* warriors of this type in the army. Of course, Vova wants his army to be as large as possible.
To make things more complicated, Vova has to consider *q* different plans of creating his army. *i*th plan allows him to hire only warriors whose numbers are not less than *l**i* and not greater than *r**i*.
Help Vova to determine the largest size of a balanced army for each plan.
Be aware that the plans are given in a modified way. See input section for details. | The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=100000).
The second line contains *n* integers *a*1, *a*2, ... *a**n* (1<=≤<=*a**i*<=≤<=100000).
The third line contains one integer *q* (1<=≤<=*q*<=≤<=100000).
Then *q* lines follow. *i*th line contains two numbers *x**i* and *y**i* which represent *i*th plan (1<=≤<=*x**i*,<=*y**i*<=≤<=*n*).
You have to keep track of the answer to the last plan (let's call it *last*). In the beginning *last*<==<=0. Then to restore values of *l**i* and *r**i* for the *i*th plan, you have to do the following:
1. *l**i*<==<=((*x**i*<=+<=*last*) *mod* *n*)<=+<=1; 1. *r**i*<==<=((*y**i*<=+<=*last*) *mod* *n*)<=+<=1; 1. If *l**i*<=><=*r**i*, swap *l**i* and *r**i*. | Print *q* numbers. *i*th number must be equal to the maximum size of a balanced army when considering *i*th plan. | [
"6 2\n1 1 1 2 2 2\n5\n1 6\n4 3\n1 1\n2 6\n2 6\n"
] | [
"2\n4\n1\n3\n2\n"
] | In the first example the real plans are:
1. 1 2 1. 1 6 1. 6 6 1. 2 4 1. 4 6 | [
{
"input": "6 2\n1 1 1 2 2 2\n5\n1 6\n4 3\n1 1\n2 6\n2 6",
"output": "2\n4\n1\n3\n2"
},
{
"input": "5 5\n3 4 4 2 1\n5\n5 5\n5 4\n5 4\n3 4\n5 5",
"output": "1\n2\n2\n2\n1"
},
{
"input": "5 5\n2 1 2 4 1\n5\n5 3\n1 1\n5 1\n2 1\n2 3",
"output": "4\n1\n2\n2\n5"
},
{
"input": "10 5... | 46 | 0 | 0 | 1,441 | |
681 | A Good Contest | [
"implementation"
] | null | null | Codeforces user' handle color depends on his rating — it is red if his rating is greater or equal to 2400; it is orange if his rating is less than 2400 but greater or equal to 2200, etc. Each time participant takes part in a rated contest, his rating is changed depending on his performance.
Anton wants the color of his handle to become red. He considers his performance in the rated contest to be good if he outscored some participant, whose handle was colored red before the contest and his rating has increased after it.
Anton has written a program that analyses contest results and determines whether he performed good or not. Are you able to do the same? | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100) — the number of participants Anton has outscored in this contest .
The next *n* lines describe participants results: the *i*-th of them consists of a participant handle *name**i* and two integers *before**i* and *after**i* (<=-<=4000<=≤<=*before**i*,<=*after**i*<=≤<=4000) — participant's rating before and after the contest, respectively. Each handle is a non-empty string, consisting of no more than 10 characters, which might be lowercase and uppercase English letters, digits, characters «_» and «-» characters.
It is guaranteed that all handles are distinct. | Print «YES» (quotes for clarity), if Anton has performed good in the contest and «NO» (quotes for clarity) otherwise. | [
"3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749\n",
"3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450\n"
] | [
"YES",
"NO"
] | In the first sample, Anton has outscored user with handle Burunduk1, whose handle was colored red before the contest and his rating has increased after the contest.
In the second sample, Applejack's rating has not increased after the contest, while both Fluttershy's and Pinkie_Pie's handles were not colored red before the contest. | [
{
"input": "3\nBurunduk1 2526 2537\nBudAlNik 2084 2214\nsubscriber 2833 2749",
"output": "YES"
},
{
"input": "3\nApplejack 2400 2400\nFluttershy 2390 2431\nPinkie_Pie -2500 -2450",
"output": "NO"
},
{
"input": "1\nDb -3373 3591",
"output": "NO"
},
{
"input": "5\nQ2bz 960 2342... | 0 | 0 | -1 | 1,442 | |
592 | PawnChess | [
"implementation"
] | null | null | Galois is one of the strongest chess players of Byteforces. He has even invented a new variant of chess, which he named «PawnChess».
This new game is played on a board consisting of 8 rows and 8 columns. At the beginning of every game some black and white pawns are placed on the board. The number of black pawns placed is not necessarily equal to the number of white pawns placed.
Lets enumerate rows and columns with integers from 1 to 8. Rows are numbered from top to bottom, while columns are numbered from left to right. Now we denote as (*r*,<=*c*) the cell located at the row *r* and at the column *c*.
There are always two players A and B playing the game. Player A plays with white pawns, while player B plays with black ones. The goal of player A is to put any of his pawns to the row 1, while player B tries to put any of his pawns to the row 8. As soon as any of the players completes his goal the game finishes immediately and the succeeded player is declared a winner.
Player A moves first and then they alternate turns. On his move player A must choose exactly one white pawn and move it one step upward and player B (at his turn) must choose exactly one black pawn and move it one step down. Any move is possible only if the targeted cell is empty. It's guaranteed that for any scenario of the game there will always be at least one move available for any of the players.
Moving upward means that the pawn located in (*r*,<=*c*) will go to the cell (*r*<=-<=1,<=*c*), while moving down means the pawn located in (*r*,<=*c*) will go to the cell (*r*<=+<=1,<=*c*). Again, the corresponding cell must be empty, i.e. not occupied by any other pawn of any color.
Given the initial disposition of the board, determine who wins the game if both players play optimally. Note that there will always be a winner due to the restriction that for any game scenario both players will have some moves available. | The input consists of the board description given in eight lines, each line contains eight characters. Character 'B' is used to denote a black pawn, and character 'W' represents a white pawn. Empty cell is marked with '.'.
It's guaranteed that there will not be white pawns on the first row neither black pawns on the last row. | Print 'A' if player A wins the game on the given board, and 'B' if player B will claim the victory. Again, it's guaranteed that there will always be a winner on the given board. | [
"........\n........\n.B....B.\n....W...\n........\n..W.....\n........\n........\n",
"..B.....\n..W.....\n......B.\n........\n.....W..\n......B.\n........\n........\n"
] | [
"A\n",
"B\n"
] | In the first sample player A is able to complete his goal in 3 steps by always moving a pawn initially located at (4, 5). Player B needs at least 5 steps for any of his pawns to reach the row 8. Hence, player A will be the winner. | [
{
"input": ".BB.B.B.\nB..B..B.\n.B.BB...\nBB.....B\nBBB....B\nB..BB...\nBB.B...B\n....WWW.",
"output": "B"
},
{
"input": "B.B.BB.B\nW.WWW.WW\n.WWWWW.W\nW.BB.WBW\n.W..BBWB\nBB.WWBBB\n.W.W.WWB\nWWW..WW.",
"output": "A"
},
{
"input": "BB..BB..\nBW.W.W.B\n..B.....\n.....BB.\n.B..B..B\n......... | 109 | 23,142,400 | 3 | 1,446 | |
1,009 | Intercity Travelling | [
"combinatorics",
"math",
"probabilities"
] | null | null | Leha is planning his journey from Moscow to Saratov. He hates trains, so he has decided to get from one city to another by car.
The path from Moscow to Saratov can be represented as a straight line (well, it's not that straight in reality, but in this problem we will consider it to be straight), and the distance between Moscow and Saratov is $n$ km. Let's say that Moscow is situated at the point with coordinate $0$ km, and Saratov — at coordinate $n$ km.
Driving for a long time may be really difficult. Formally, if Leha has already covered $i$ kilometers since he stopped to have a rest, he considers the difficulty of covering $(i + 1)$-th kilometer as $a_{i + 1}$. It is guaranteed that for every $i \in [1, n - 1]$ $a_i \le a_{i + 1}$. The difficulty of the journey is denoted as the sum of difficulties of each kilometer in the journey.
Fortunately, there may be some rest sites between Moscow and Saratov. Every integer point from $1$ to $n - 1$ may contain a rest site. When Leha enters a rest site, he may have a rest, and the next kilometer will have difficulty $a_1$, the kilometer after it — difficulty $a_2$, and so on.
For example, if $n = 5$ and there is a rest site in coordinate $2$, the difficulty of journey will be $2a_1 + 2a_2 + a_3$: the first kilometer will have difficulty $a_1$, the second one — $a_2$, then Leha will have a rest, and the third kilometer will have difficulty $a_1$, the fourth — $a_2$, and the last one — $a_3$. Another example: if $n = 7$ and there are rest sites in coordinates $1$ and $5$, the difficulty of Leha's journey is $3a_1 + 2a_2 + a_3 + a_4$.
Leha doesn't know which integer points contain rest sites. So he has to consider every possible situation. Obviously, there are $2^{n - 1}$ different distributions of rest sites (two distributions are different if there exists some point $x$ such that it contains a rest site in exactly one of these distributions). Leha considers all these distributions to be equiprobable. He wants to calculate $p$ — the expected value of difficulty of his journey.
Obviously, $p \cdot 2^{n - 1}$ is an integer number. You have to calculate it modulo $998244353$. | The first line contains one number $n$ ($1 \le n \le 10^6$) — the distance from Moscow to Saratov.
The second line contains $n$ integer numbers $a_1$, $a_2$, ..., $a_n$ ($1 \le a_1 \le a_2 \le \dots \le a_n \le 10^6$), where $a_i$ is the difficulty of $i$-th kilometer after Leha has rested. | Print one number — $p \cdot 2^{n - 1}$, taken modulo $998244353$. | [
"2\n1 2\n",
"4\n1 3 3 7\n"
] | [
"5\n",
"60\n"
] | none | [
{
"input": "2\n1 2",
"output": "5"
},
{
"input": "4\n1 3 3 7",
"output": "60"
},
{
"input": "100\n3 3 3 4 7 8 8 8 9 9 10 12 12 13 14 14 15 15 16 17 17 20 21 21 22 22 23 25 29 31 36 37 37 38 39 40 41 41 41 42 43 44 45 46 46 47 47 49 49 49 51 52 52 53 54 55 59 59 59 60 62 63 63 64 66 69 70... | 93 | 0 | 0 | 1,449 | |
960 | Subsequence Counting | [
"bitmasks",
"constructive algorithms",
"greedy",
"implementation"
] | null | null | Pikachu had an array with him. He wrote down all the non-empty subsequences of the array on paper. Note that an array of size *n* has 2*n*<=-<=1 non-empty subsequences in it.
Pikachu being mischievous as he always is, removed all the subsequences in which Maximum_element_of_the_subsequence <=-<= Minimum_element_of_subsequence <=≥<=*d*
Pikachu was finally left with *X* subsequences.
However, he lost the initial array he had, and now is in serious trouble. He still remembers the numbers *X* and *d*. He now wants you to construct any such array which will satisfy the above conditions. All the numbers in the final array should be positive integers less than 1018.
Note the number of elements in the output array should not be more than 104. If no answer is possible, print <=-<=1. | The only line of input consists of two space separated integers *X* and *d* (1<=≤<=*X*,<=*d*<=≤<=109). | Output should consist of two lines.
First line should contain a single integer *n* (1<=≤<=*n*<=≤<=10<=000)— the number of integers in the final array.
Second line should consist of *n* space separated integers — *a*1,<=*a*2,<=... ,<=*a**n* (1<=≤<=*a**i*<=<<=1018).
If there is no answer, print a single integer -1. If there are multiple answers, print any of them. | [
"10 5\n",
"4 2\n"
] | [
"6\n5 50 7 15 6 100",
"4\n10 100 1000 10000"
] | In the output of the first example case, the remaining subsequences after removing those with Maximum_element_of_the_subsequence - Minimum_element_of_subsequence ≥ 5 are [5], [5, 7], [5, 6], [5, 7, 6], [50], [7], [7, 6], [15], [6], [100]. There are 10 of them. Hence, the array [5, 50, 7, 15, 6, 100] is valid.
Similarly, in the output of the second example case, the remaining sub-sequences after removing those with Maximum_element_of_the_subsequence - Minimum_element_of_subsequence ≥ 2 are [10], [100], [1000], [10000]. There are 4 of them. Hence, the array [10, 100, 1000, 10000] is valid. | [
{
"input": "10 5",
"output": "6\n1 1 1 7 13 19 "
},
{
"input": "4 2",
"output": "3\n1 1 4 "
},
{
"input": "4 1",
"output": "3\n1 1 3 "
},
{
"input": "1 1",
"output": "1\n1 "
},
{
"input": "63 1",
"output": "21\n1 1 1 1 1 3 3 3 3 5 5 5 7 7 9 11 13 15 17 19 21 "... | 1,000 | 102,400 | 0 | 1,450 | |
721 | Journey | [
"dp",
"graphs"
] | null | null | Recently Irina arrived to one of the most famous cities of Berland — the Berlatov city. There are *n* showplaces in the city, numbered from 1 to *n*, and some of them are connected by one-directional roads. The roads in Berlatov are designed in a way such that there are no cyclic routes between showplaces.
Initially Irina stands at the showplace 1, and the endpoint of her journey is the showplace *n*. Naturally, Irina wants to visit as much showplaces as she can during her journey. However, Irina's stay in Berlatov is limited and she can't be there for more than *T* time units.
Help Irina determine how many showplaces she may visit during her journey from showplace 1 to showplace *n* within a time not exceeding *T*. It is guaranteed that there is at least one route from showplace 1 to showplace *n* such that Irina will spend no more than *T* time units passing it. | The first line of the input contains three integers *n*,<=*m* and *T* (2<=≤<=*n*<=≤<=5000,<=<=1<=≤<=*m*<=≤<=5000,<=<=1<=≤<=*T*<=≤<=109) — the number of showplaces, the number of roads between them and the time of Irina's stay in Berlatov respectively.
The next *m* lines describes roads in Berlatov. *i*-th of them contains 3 integers *u**i*,<=*v**i*,<=*t**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*,<=*u**i*<=≠<=*v**i*,<=1<=≤<=*t**i*<=≤<=109), meaning that there is a road starting from showplace *u**i* and leading to showplace *v**i*, and Irina spends *t**i* time units to pass it. It is guaranteed that the roads do not form cyclic routes.
It is guaranteed, that there is at most one road between each pair of showplaces. | Print the single integer *k* (2<=≤<=*k*<=≤<=*n*) — the maximum number of showplaces that Irina can visit during her journey from showplace 1 to showplace *n* within time not exceeding *T*, in the first line.
Print *k* distinct integers in the second line — indices of showplaces that Irina will visit on her route, in the order of encountering them.
If there are multiple answers, print any of them. | [
"4 3 13\n1 2 5\n2 3 7\n2 4 8\n",
"6 6 7\n1 2 2\n1 3 3\n3 6 3\n2 4 2\n4 6 2\n6 5 1\n",
"5 5 6\n1 3 3\n3 5 3\n1 2 2\n2 4 3\n4 5 2\n"
] | [
"3\n1 2 4 \n",
"4\n1 2 4 6 \n",
"3\n1 3 5 \n"
] | none | [
{
"input": "4 3 13\n1 2 5\n2 3 7\n2 4 8",
"output": "3\n1 2 4 "
},
{
"input": "6 6 7\n1 2 2\n1 3 3\n3 6 3\n2 4 2\n4 6 2\n6 5 1",
"output": "4\n1 2 4 6 "
},
{
"input": "5 5 6\n1 3 3\n3 5 3\n1 2 2\n2 4 3\n4 5 2",
"output": "3\n1 3 5 "
},
{
"input": "10 10 100\n1 4 1\n6 4 1\n9 3... | 3,000 | 103,628,800 | 0 | 1,454 | |
964 | Splits | [
"math"
] | null | null | Let's define a split of $n$ as a nonincreasing sequence of positive integers, the sum of which is $n$.
For example, the following sequences are splits of $8$: $[4, 4]$, $[3, 3, 2]$, $[2, 2, 1, 1, 1, 1]$, $[5, 2, 1]$.
The following sequences aren't splits of $8$: $[1, 7]$, $[5, 4]$, $[11, -3]$, $[1, 1, 4, 1, 1]$.
The weight of a split is the number of elements in the split that are equal to the first element. For example, the weight of the split $[1, 1, 1, 1, 1]$ is $5$, the weight of the split $[5, 5, 3, 3, 3]$ is $2$ and the weight of the split $[9]$ equals $1$.
For a given $n$, find out the number of different weights of its splits. | The first line contains one integer $n$ ($1 \leq n \leq 10^9$). | Output one integer — the answer to the problem. | [
"7\n",
"8\n",
"9\n"
] | [
"4\n",
"5\n",
"5\n"
] | In the first sample, there are following possible weights of splits of $7$:
Weight 1: [$\textbf 7$]
Weight 2: [$\textbf 3$, $\textbf 3$, 1]
Weight 3: [$\textbf 2$, $\textbf 2$, $\textbf 2$, 1]
Weight 7: [$\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$, $\textbf 1$] | [
{
"input": "7",
"output": "4"
},
{
"input": "8",
"output": "5"
},
{
"input": "9",
"output": "5"
},
{
"input": "1",
"output": "1"
},
{
"input": "286",
"output": "144"
},
{
"input": "48",
"output": "25"
},
{
"input": "941",
"output": "471... | 0 | 0 | -1 | 1,455 | |
595 | Vitaly and Night | [
"constructive algorithms",
"implementation"
] | null | null | One day Vitaly was going home late at night and wondering: how many people aren't sleeping at that moment? To estimate, Vitaly decided to look which windows are lit in the house he was passing by at that moment.
Vitaly sees a building of *n* floors and 2·*m* windows on each floor. On each floor there are *m* flats numbered from 1 to *m*, and two consecutive windows correspond to each flat. If we number the windows from 1 to 2·*m* from left to right, then the *j*-th flat of the *i*-th floor has windows 2·*j*<=-<=1 and 2·*j* in the corresponding row of windows (as usual, floors are enumerated from the bottom). Vitaly thinks that people in the flat aren't sleeping at that moment if at least one of the windows corresponding to this flat has lights on.
Given the information about the windows of the given house, your task is to calculate the number of flats where, according to Vitaly, people aren't sleeping. | The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of floors in the house and the number of flats on each floor respectively.
Next *n* lines describe the floors from top to bottom and contain 2·*m* characters each. If the *i*-th window of the given floor has lights on, then the *i*-th character of this line is '1', otherwise it is '0'. | Print a single integer — the number of flats that have lights on in at least one window, that is, the flats where, according to Vitaly, people aren't sleeping. | [
"2 2\n0 0 0 1\n1 0 1 1\n",
"1 3\n1 1 0 1 0 0\n"
] | [
"3\n",
"2\n"
] | In the first test case the house has two floors, two flats on each floor. That is, in total there are 4 flats. The light isn't on only on the second floor in the left flat. That is, in both rooms of the flat the light is off.
In the second test case the house has one floor and the first floor has three flats. The light is on in the leftmost flat (in both windows) and in the middle flat (in one window). In the right flat the light is off. | [
{
"input": "2 2\n0 0 0 1\n1 0 1 1",
"output": "3"
},
{
"input": "1 3\n1 1 0 1 0 0",
"output": "2"
},
{
"input": "3 3\n1 1 1 1 1 1\n1 1 0 1 1 0\n1 0 0 0 1 1",
"output": "8"
},
{
"input": "1 5\n1 0 1 1 1 0 1 1 1 1",
"output": "5"
},
{
"input": "1 100\n1 1 1 1 1 1 1 ... | 155 | 614,400 | 3 | 1,456 | |
446 | DZY Loves Fibonacci Numbers | [
"data structures",
"math",
"number theory"
] | null | null | In mathematical terms, the sequence *F**n* of Fibonacci numbers is defined by the recurrence relation
DZY loves Fibonacci numbers very much. Today DZY gives you an array consisting of *n* integers: *a*1,<=*a*2,<=...,<=*a**n*. Moreover, there are *m* queries, each query has one of the two types:
1. Format of the query "1 *l* *r*". In reply to the query, you need to add *F**i*<=-<=*l*<=+<=1 to each element *a**i*, where *l*<=≤<=*i*<=≤<=*r*. 1. Format of the query "2 *l* *r*". In reply to the query you should output the value of modulo 1000000009 (109<=+<=9).
Help DZY reply to all the queries. | The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=300000). The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — initial array *a*.
Then, *m* lines follow. A single line describes a single query in the format given in the statement. It is guaranteed that for each query inequality 1<=≤<=*l*<=≤<=*r*<=≤<=*n* holds. | For each query of the second type, print the value of the sum on a single line. | [
"4 4\n1 2 3 4\n1 1 4\n2 1 4\n1 2 4\n2 1 3\n"
] | [
"17\n12\n"
] | After the first query, *a* = [2, 3, 5, 7].
For the second query, *sum* = 2 + 3 + 5 + 7 = 17.
After the third query, *a* = [2, 4, 6, 9].
For the fourth query, *sum* = 2 + 4 + 6 = 12. | [
{
"input": "4 4\n1 2 3 4\n1 1 4\n2 1 4\n1 2 4\n2 1 3",
"output": "17\n12"
},
{
"input": "2 2\n1 2\n2 1 2\n2 1 2",
"output": "3\n3"
},
{
"input": "10 20\n56 12 68 23 41 29 97 69 79 76\n1 3 5\n1 8 9\n2 3 10\n1 7 10\n2 1 10\n1 5 10\n2 2 4\n1 2 4\n1 5 6\n2 1 2\n2 4 5\n1 1 5\n1 8 9\n2 5 8\n2 ... | 30 | 0 | -1 | 1,458 | |
612 | Replace To Make Regular Bracket Sequence | [
"data structures",
"expression parsing",
"math"
] | null | null | You are given string *s* consists of opening and closing brackets of four kinds <>, {}, [], (). There are two types of brackets: opening and closing. You can replace any bracket by another of the same type. For example, you can replace < by the bracket {, but you can't replace it by ) or >.
The following definition of a regular bracket sequence is well-known, so you can be familiar with it.
Let's define a regular bracket sequence (RBS). Empty string is RBS. Let *s*1 and *s*2 be a RBS then the strings <*s*1>*s*2, {*s*1}*s*2, [*s*1]*s*2, (*s*1)*s*2 are also RBS.
For example the string "[[(){}]<>]" is RBS, but the strings "[)()" and "][()()" are not.
Determine the least number of replaces to make the string *s* RBS. | The only line contains a non empty string *s*, consisting of only opening and closing brackets of four kinds. The length of *s* does not exceed 106. | If it's impossible to get RBS from *s* print Impossible.
Otherwise print the least number of replaces needed to get RBS from *s*. | [
"[<}){}\n",
"{()}[]\n",
"]]\n"
] | [
"2",
"0",
"Impossible"
] | none | [
{
"input": "[<}){}",
"output": "2"
},
{
"input": "{()}[]",
"output": "0"
},
{
"input": "]]",
"output": "Impossible"
},
{
"input": ">",
"output": "Impossible"
},
{
"input": "{}",
"output": "0"
},
{
"input": "{}",
"output": "0"
},
{
"input": ... | 77 | 7,065,600 | 0 | 1,459 | |
626 | Cards | [
"constructive algorithms",
"dp",
"math"
] | null | null | Catherine has a deck of *n* cards, each of which is either red, green, or blue. As long as there are at least two cards left, she can do one of two actions:
- take any two (not necessarily adjacent) cards with different colors and exchange them for a new card of the third color; - take any two (not necessarily adjacent) cards with the same color and exchange them for a new card with that color.
She repeats this process until there is only one card left. What are the possible colors for the final card? | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200) — the total number of cards.
The next line contains a string *s* of length *n* — the colors of the cards. *s* contains only the characters 'B', 'G', and 'R', representing blue, green, and red, respectively. | Print a single string of up to three characters — the possible colors of the final card (using the same symbols as the input) in alphabetical order. | [
"2\nRB\n",
"3\nGRG\n",
"5\nBBBBB\n"
] | [
"G\n",
"BR\n",
"B\n"
] | In the first sample, Catherine has one red card and one blue card, which she must exchange for a green card.
In the second sample, Catherine has two green cards and one red card. She has two options: she can exchange the two green cards for a green card, then exchange the new green card and the red card for a blue card. Alternatively, she can exchange a green and a red card for a blue card, then exchange the blue card and remaining green card for a red card.
In the third sample, Catherine only has blue cards, so she can only exchange them for more blue cards. | [
{
"input": "2\nRB",
"output": "G"
},
{
"input": "3\nGRG",
"output": "BR"
},
{
"input": "5\nBBBBB",
"output": "B"
},
{
"input": "1\nR",
"output": "R"
},
{
"input": "200\nBBRGRRBBRGGGBGBGBGRRGRGRGRBGRGRRBBGRGBGRRGRRRGGBBRGBGBGBRBBBBBBBGGBRGGRRRGGRGBGBGGBRRRRBRRRBRBB... | 62 | 0 | 0 | 1,464 | |
0 | none | [
"none"
] | null | null | An atom of element X can exist in *n* distinct states with energies *E*1<=<<=*E*2<=<<=...<=<<=*E**n*. Arkady wants to build a laser on this element, using a three-level scheme. Here is a simplified description of the scheme.
Three distinct states *i*, *j* and *k* are selected, where *i*<=<<=*j*<=<<=*k*. After that the following process happens:
1. initially the atom is in the state *i*,1. we spend *E**k*<=-<=*E**i* energy to put the atom in the state *k*,1. the atom emits a photon with useful energy *E**k*<=-<=*E**j* and changes its state to the state *j*,1. the atom spontaneously changes its state to the state *i*, losing energy *E**j*<=-<=*E**i*,1. the process repeats from step 1.
Let's define the energy conversion efficiency as , i. e. the ration between the useful energy of the photon and spent energy.
Due to some limitations, Arkady can only choose such three states that *E**k*<=-<=*E**i*<=≤<=*U*.
Help Arkady to find such the maximum possible energy conversion efficiency within the above constraints. | The first line contains two integers *n* and *U* (3<=≤<=*n*<=≤<=105, 1<=≤<=*U*<=≤<=109) — the number of states and the maximum possible difference between *E**k* and *E**i*.
The second line contains a sequence of integers *E*1,<=*E*2,<=...,<=*E**n* (1<=≤<=*E*1<=<<=*E*2...<=<<=*E**n*<=≤<=109). It is guaranteed that all *E**i* are given in increasing order. | If it is not possible to choose three states that satisfy all constraints, print -1.
Otherwise, print one real number η — the maximum possible energy conversion efficiency. Your answer is considered correct its absolute or relative error does not exceed 10<=-<=9.
Formally, let your answer be *a*, and the jury's answer be *b*. Your answer is considered correct if . | [
"4 4\n1 3 5 7\n",
"10 8\n10 13 15 16 17 19 20 22 24 25\n",
"3 1\n2 5 10\n"
] | [
"0.5\n",
"0.875\n",
"-1\n"
] | In the first example choose states 1, 2 and 3, so that the energy conversion efficiency becomes equal to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/147ae7a830722917b0aa37d064df8eb74cfefb97.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second example choose states 4, 5 and 9, so that the energy conversion efficiency becomes equal to <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/f68f268de4eb2242167e6ec64e6b8aa60a5703ae.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | [
{
"input": "4 4\n1 3 5 7",
"output": "0.5"
},
{
"input": "10 8\n10 13 15 16 17 19 20 22 24 25",
"output": "0.875"
},
{
"input": "3 1\n2 5 10",
"output": "-1"
},
{
"input": "5 3\n4 6 8 9 10",
"output": "0.5"
},
{
"input": "10 128\n110 121 140 158 174 188 251 271 27... | 93 | 7,065,600 | 0 | 1,467 | |
127 | Canvas Frames | [
"implementation"
] | null | null | Nicholas, a painter is going to paint several new canvases. Nicholas is sure that the canvases will turn out so great that each one will need framing and being hung on the wall. Frames are what Nicholas decided to begin with.
Nicholas has *n* sticks whose lengths equal *a*1,<=*a*2,<=... *a**n*. Nicholas does not want to break the sticks or glue them together. To make a *h*<=×<=*w*-sized frame, he needs two sticks whose lengths equal *h* and two sticks whose lengths equal *w*. Specifically, to make a square frame (when *h*<==<=*w*), he needs four sticks of the same length.
Now Nicholas wants to make from the sticks that he has as many frames as possible; to be able to paint as many canvases as possible to fill the frames. Help him in this uneasy task. Note that it is not necessary to use all the sticks Nicholas has. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=100) — the number of sticks. The second line contains *n* space-separated integers. The *i*-th integer equals the length of the *i*-th stick *a**i* (1<=≤<=*a**i*<=≤<=100). | Print the single number — the maximum number of frames Nicholas can make for his future canvases. | [
"5\n2 4 3 2 3\n",
"13\n2 2 4 4 4 4 6 6 6 7 7 9 9\n",
"4\n3 3 3 5\n"
] | [
"1",
"3",
"0"
] | none | [
{
"input": "5\n2 4 3 2 3",
"output": "1"
},
{
"input": "13\n2 2 4 4 4 4 6 6 6 7 7 9 9",
"output": "3"
},
{
"input": "4\n3 3 3 5",
"output": "0"
},
{
"input": "2\n3 5",
"output": "0"
},
{
"input": "9\n1 2 3 4 5 6 7 8 9",
"output": "0"
},
{
"input": "14\... | 62 | 0 | 3 | 1,468 | |
633 | Spy Syndrome 2 | [
"data structures",
"dp",
"hashing",
"implementation",
"sortings",
"string suffix structures",
"strings"
] | null | null | After observing the results of Spy Syndrome, Yash realised the errors of his ways. He now believes that a super spy such as Siddhant can't use a cipher as basic and ancient as Caesar cipher. After many weeks of observation of Siddhant’s sentences, Yash determined a new cipher technique.
For a given sentence, the cipher is processed as:
1. Convert all letters of the sentence to lowercase. 1. Reverse each of the words of the sentence individually. 1. Remove all the spaces in the sentence.
For example, when this cipher is applied to the sentence
Kira is childish and he hates losing
the resulting string is
ariksihsidlihcdnaehsetahgnisol
Now Yash is given some ciphered string and a list of words. Help him to find out any original sentence composed using only words from the list. Note, that any of the given words could be used in the sentence multiple times. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=10<=000) — the length of the ciphered text. The second line consists of *n* lowercase English letters — the ciphered text *t*.
The third line contains a single integer *m* (1<=≤<=*m*<=≤<=100<=000) — the number of words which will be considered while deciphering the text. Each of the next *m* lines contains a non-empty word *w**i* (|*w**i*|<=≤<=1<=000) consisting of uppercase and lowercase English letters only. It's guaranteed that the total length of all words doesn't exceed 1<=000<=000. | Print one line — the original sentence. It is guaranteed that at least one solution exists. If there are multiple solutions, you may output any of those. | [
"30\nariksihsidlihcdnaehsetahgnisol\n10\nKira\nhates\nis\nhe\nlosing\ndeath\nchildish\nL\nand\nNote\n",
"12\niherehtolleh\n5\nHI\nHo\nthere\nHeLLo\nhello\n"
] | [
"Kira is childish and he hates losing \n",
"HI there HeLLo \n"
] | In sample case 2 there may be multiple accepted outputs, "HI there HeLLo" and "HI there hello" you may output any of them. | [
{
"input": "30\nariksihsidlihcdnaehsetahgnisol\n10\nKira\nhates\nis\nhe\nlosing\ndeath\nchildish\nL\nand\nNote",
"output": "Kira is childish and he hates losing "
},
{
"input": "12\niherehtolleh\n5\nHI\nHo\nthere\nHeLLo\nhello",
"output": "HI there HeLLo "
},
{
"input": "71\nbaaaaaaaaaaa... | 93 | 0 | 0 | 1,469 | |
770 | Maximize Sum of Digits | [
"*special",
"implementation",
"math"
] | null | null | Anton has the integer *x*. He is interested what positive integer, which doesn't exceed *x*, has the maximum sum of digits.
Your task is to help Anton and to find the integer that interests him. If there are several such integers, determine the biggest of them. | The first line contains the positive integer *x* (1<=≤<=*x*<=≤<=1018) — the integer which Anton has. | Print the positive integer which doesn't exceed *x* and has the maximum sum of digits. If there are several such integers, print the biggest of them. Printed integer must not contain leading zeros. | [
"100\n",
"48\n",
"521\n"
] | [
"99\n",
"48\n",
"499\n"
] | none | [
{
"input": "100",
"output": "99"
},
{
"input": "48",
"output": "48"
},
{
"input": "521",
"output": "499"
},
{
"input": "1",
"output": "1"
},
{
"input": "2",
"output": "2"
},
{
"input": "3",
"output": "3"
},
{
"input": "39188",
"output":... | 1,000 | 0 | 0 | 1,473 | |
911 | Tree Destruction | [
"constructive algorithms",
"dfs and similar",
"graphs",
"greedy",
"trees"
] | null | null | You are given an unweighted tree with *n* vertices. Then *n*<=-<=1 following operations are applied to the tree. A single operation consists of the following steps:
1. choose two leaves; 1. add the length of the simple path between them to the answer; 1. remove one of the chosen leaves from the tree.
Initial answer (before applying operations) is 0. Obviously after *n*<=-<=1 such operations the tree will consist of a single vertex.
Calculate the maximal possible answer you can achieve, and construct a sequence of operations that allows you to achieve this answer! | The first line contains one integer number *n* (2<=≤<=*n*<=≤<=2·105) — the number of vertices in the tree.
Next *n*<=-<=1 lines describe the edges of the tree in form *a**i*,<=*b**i* (1<=≤<=*a**i*, *b**i*<=≤<=*n*, *a**i*<=≠<=*b**i*). It is guaranteed that given graph is a tree. | In the first line print one integer number — maximal possible answer.
In the next *n*<=-<=1 lines print the operations in order of their applying in format *a**i*,<=*b**i*,<=*c**i*, where *a**i*,<=*b**i* — pair of the leaves that are chosen in the current operation (1<=≤<=*a**i*, *b**i*<=≤<=*n*), *c**i* (1<=≤<=*c**i*<=≤<=*n*, *c**i*<==<=*a**i* or *c**i*<==<=*b**i*) — choosen leaf that is removed from the tree in the current operation.
See the examples for better understanding. | [
"3\n1 2\n1 3\n",
"5\n1 2\n1 3\n2 4\n2 5\n"
] | [
"3\n2 3 3\n2 1 1\n",
"9\n3 5 5\n4 3 3\n4 1 1\n4 2 2\n"
] | none | [
{
"input": "3\n1 2\n1 3",
"output": "3\n2 3 3\n2 1 1"
},
{
"input": "5\n1 2\n1 3\n2 4\n2 5",
"output": "9\n3 5 5\n4 3 3\n4 1 1\n4 2 2"
},
{
"input": "2\n1 2",
"output": "1\n2 1 1"
},
{
"input": "4\n1 3\n1 4\n1 2",
"output": "5\n3 4 4\n2 3 3\n2 1 1"
},
{
"input": "... | 46 | 0 | 0 | 1,476 | |
747 | Mammoth's Genome Decoding | [
"implementation",
"strings"
] | null | null | The process of mammoth's genome decoding in Berland comes to its end!
One of the few remaining tasks is to restore unrecognized nucleotides in a found chain *s*. Each nucleotide is coded with a capital letter of English alphabet: 'A', 'C', 'G' or 'T'. Unrecognized nucleotides are coded by a question mark '?'. Thus, *s* is a string consisting of letters 'A', 'C', 'G', 'T' and characters '?'.
It is known that the number of nucleotides of each of the four types in the decoded genome of mammoth in Berland should be equal.
Your task is to decode the genome and replace each unrecognized nucleotide with one of the four types so that the number of nucleotides of each of the four types becomes equal. | The first line contains the integer *n* (4<=≤<=*n*<=≤<=255) — the length of the genome.
The second line contains the string *s* of length *n* — the coded genome. It consists of characters 'A', 'C', 'G', 'T' and '?'. | If it is possible to decode the genome, print it. If there are multiple answer, print any of them. If it is not possible, print three equals signs in a row: "===" (without quotes). | [
"8\nAG?C??CT\n",
"4\nAGCT\n",
"6\n????G?\n",
"4\nAA??\n"
] | [
"AGACGTCT\n",
"AGCT\n",
"===\n",
"===\n"
] | In the first example you can replace the first question mark with the letter 'A', the second question mark with the letter 'G', the third question mark with the letter 'T', then each nucleotide in the genome would be presented twice.
In the second example the genome is already decoded correctly and each nucleotide is exactly once in it.
In the third and the fourth examples it is impossible to decode the genom. | [
{
"input": "8\nAG?C??CT",
"output": "AGACGTCT"
},
{
"input": "4\nAGCT",
"output": "AGCT"
},
{
"input": "6\n????G?",
"output": "==="
},
{
"input": "4\nAA??",
"output": "==="
},
{
"input": "4\n????",
"output": "ACGT"
},
{
"input": "252\n???????GCG??T??TT... | 92 | 2,252,800 | -1 | 1,480 | |
785 | Anton and Fairy Tale | [
"binary search",
"math"
] | null | null | Anton likes to listen to fairy tales, especially when Danik, Anton's best friend, tells them. Right now Danik tells Anton a fairy tale:
"Once upon a time, there lived an emperor. He was very rich and had much grain. One day he ordered to build a huge barn to put there all his grain. Best builders were building that barn for three days and three nights. But they overlooked and there remained a little hole in the barn, from which every day sparrows came through. Here flew a sparrow, took a grain and flew away..."
More formally, the following takes place in the fairy tale. At the beginning of the first day the barn with the capacity of *n* grains was full. Then, every day (starting with the first day) the following happens:
- *m* grains are brought to the barn. If *m* grains doesn't fit to the barn, the barn becomes full and the grains that doesn't fit are brought back (in this problem we can assume that the grains that doesn't fit to the barn are not taken into account). - Sparrows come and eat grain. In the *i*-th day *i* sparrows come, that is on the first day one sparrow come, on the second day two sparrows come and so on. Every sparrow eats one grain. If the barn is empty, a sparrow eats nothing.
Anton is tired of listening how Danik describes every sparrow that eats grain from the barn. Anton doesn't know when the fairy tale ends, so he asked you to determine, by the end of which day the barn will become empty for the first time. Help Anton and write a program that will determine the number of that day! | The only line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1018) — the capacity of the barn and the number of grains that are brought every day. | Output one integer — the number of the day when the barn will become empty for the first time. Days are numbered starting with one. | [
"5 2\n",
"8 1\n"
] | [
"4\n",
"5\n"
] | In the first sample the capacity of the barn is five grains and two grains are brought every day. The following happens:
- At the beginning of the first day grain is brought to the barn. It's full, so nothing happens. - At the end of the first day one sparrow comes and eats one grain, so 5 - 1 = 4 grains remain. - At the beginning of the second day two grains are brought. The barn becomes full and one grain doesn't fit to it. - At the end of the second day two sparrows come. 5 - 2 = 3 grains remain. - At the beginning of the third day two grains are brought. The barn becomes full again. - At the end of the third day three sparrows come and eat grain. 5 - 3 = 2 grains remain. - At the beginning of the fourth day grain is brought again. 2 + 2 = 4 grains remain. - At the end of the fourth day four sparrows come and eat grain. 4 - 4 = 0 grains remain. The barn is empty.
So the answer is 4, because by the end of the fourth day the barn becomes empty. | [
{
"input": "5 2",
"output": "4"
},
{
"input": "8 1",
"output": "5"
},
{
"input": "32 5",
"output": "12"
},
{
"input": "1024 1024",
"output": "1024"
},
{
"input": "58044 52909",
"output": "53010"
},
{
"input": "996478063 658866858",
"output": "65889... | 514 | 25,600,000 | 0 | 1,482 | |
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<=≤<=*n*<=≤<=50; 104<=≤<=*v*<=≤<=106) — 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<=≤<=*k**i*<=≤<=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<=≤<=*s**ij*<=≤<=106) — the current prices of the items of the *i*-th seller. | In the first line, print integer *p* — 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<=≤<=*q**i*<=≤<=*n*) — 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... | 109 | 0 | 3 | 1,485 | |
0 | none | [
"none"
] | null | null | Santa Claus has Robot which lives on the infinite grid and can move along its lines. He can also, having a sequence of *m* points *p*1,<=*p*2,<=...,<=*p**m* with integer coordinates, do the following: denote its initial location by *p*0. First, the robot will move from *p*0 to *p*1 along one of the shortest paths between them (please notice that since the robot moves only along the grid lines, there can be several shortest paths). Then, after it reaches *p*1, it'll move to *p*2, again, choosing one of the shortest ways, then to *p*3, and so on, until he has visited all points in the given order. Some of the points in the sequence may coincide, in that case Robot will visit that point several times according to the sequence order.
While Santa was away, someone gave a sequence of points to Robot. This sequence is now lost, but Robot saved the protocol of its unit movements. Please, find the minimum possible length of the sequence. | The first line of input contains the only positive integer *n* (1<=≤<=*n*<=≤<=2·105) which equals the number of unit segments the robot traveled. The second line contains the movements protocol, which consists of *n* letters, each being equal either L, or R, or U, or D. *k*-th letter stands for the direction which Robot traveled the *k*-th unit segment in: L means that it moved to the left, R — to the right, U — to the top and D — to the bottom. Have a look at the illustrations for better explanation. | The only line of input should contain the minimum possible length of the sequence. | [
"4\nRURD\n",
"6\nRRULDD\n",
"26\nRRRULURURUULULLLDLDDRDRDLD\n",
"3\nRLL\n",
"4\nLRLR\n"
] | [
"2\n",
"2\n",
"7\n",
"2\n",
"4\n"
] | The illustrations to the first three tests are given below.
<img class="tex-graphics" src="https://espresso.codeforces.com/832fb8f97a482be815e0f87edde26c9791a0d330.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/119a8ba68772b2c2bf76f2acdc58027f6c5cde1f.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img class="tex-graphics" src="https://espresso.codeforces.com/c7b4534f24cbad48148bcba24bc44f37bf7a2dbf.png" style="max-width: 100.0%;max-height: 100.0%;"/>
The last example illustrates that each point in the sequence should be counted as many times as it is presented in the sequence. | [
{
"input": "4\nRURD",
"output": "2"
},
{
"input": "6\nRRULDD",
"output": "2"
},
{
"input": "26\nRRRULURURUULULLLDLDDRDRDLD",
"output": "7"
},
{
"input": "3\nRLL",
"output": "2"
},
{
"input": "4\nLRLR",
"output": "4"
},
{
"input": "5\nLRDLR",
"outpu... | 2,000 | 5,222,400 | 0 | 1,489 | |
864 | Fair Game | [
"implementation",
"sortings"
] | null | null | Petya and Vasya decided to play a game. They have *n* cards (*n* is an even number). A single integer is written on each card.
Before the game Petya will choose an integer and after that Vasya will choose another integer (different from the number that Petya chose). During the game each player takes all the cards with number he chose. For example, if Petya chose number 5 before the game he will take all cards on which 5 is written and if Vasya chose number 10 before the game he will take all cards on which 10 is written.
The game is considered fair if Petya and Vasya can take all *n* cards, and the number of cards each player gets is the same.
Determine whether Petya and Vasya can choose integer numbers before the game so that the game is fair. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=100) — number of cards. It is guaranteed that *n* is an even number.
The following *n* lines contain a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (one integer per line, 1<=≤<=*a**i*<=≤<=100) — numbers written on the *n* cards. | If it is impossible for Petya and Vasya to choose numbers in such a way that the game will be fair, print "NO" (without quotes) in the first line. In this case you should not print anything more.
In the other case print "YES" (without quotes) in the first line. In the second line print two distinct integers — number that Petya should choose and the number that Vasya should choose to make the game fair. If there are several solutions, print any of them. | [
"4\n11\n27\n27\n11\n",
"2\n6\n6\n",
"6\n10\n20\n30\n20\n10\n20\n",
"6\n1\n1\n2\n2\n3\n3\n"
] | [
"YES\n11 27\n",
"NO\n",
"NO\n",
"NO\n"
] | In the first example the game will be fair if, for example, Petya chooses number 11, and Vasya chooses number 27. Then the will take all cards — Petya will take cards 1 and 4, and Vasya will take cards 2 and 3. Thus, each of them will take exactly two cards.
In the second example fair game is impossible because the numbers written on the cards are equal, but the numbers that Petya and Vasya should choose should be distinct.
In the third example it is impossible to take all cards. Petya and Vasya can take at most five cards — for example, Petya can choose number 10 and Vasya can choose number 20. But for the game to be fair it is necessary to take 6 cards. | [
{
"input": "4\n11\n27\n27\n11",
"output": "YES\n11 27"
},
{
"input": "2\n6\n6",
"output": "NO"
},
{
"input": "6\n10\n20\n30\n20\n10\n20",
"output": "NO"
},
{
"input": "6\n1\n1\n2\n2\n3\n3",
"output": "NO"
},
{
"input": "2\n1\n100",
"output": "YES\n1 100"
},
... | 46 | 0 | 0 | 1,492 | |
574 | Bear and Elections | [
"greedy",
"implementation"
] | null | null | Limak is a grizzly bear who desires power and adoration. He wants to win in upcoming elections and rule over the Bearland.
There are *n* candidates, including Limak. We know how many citizens are going to vote for each candidate. Now *i*-th candidate would get *a**i* votes. Limak is candidate number 1. To win in elections, he must get strictly more votes than any other candidate.
Victory is more important than everything else so Limak decided to cheat. He will steal votes from his opponents by bribing some citizens. To bribe a citizen, Limak must give him or her one candy - citizens are bears and bears like candies. Limak doesn't have many candies and wonders - how many citizens does he have to bribe? | The first line contains single integer *n* (2<=≤<=*n*<=≤<=100) - number of candidates.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=1000) - number of votes for each candidate. Limak is candidate number 1.
Note that after bribing number of votes for some candidate might be zero or might be greater than 1000. | Print the minimum number of citizens Limak must bribe to have strictly more votes than any other candidate. | [
"5\n5 1 11 2 8\n",
"4\n1 8 8 8\n",
"2\n7 6\n"
] | [
"4\n",
"6\n",
"0\n"
] | In the first sample Limak has 5 votes. One of the ways to achieve victory is to bribe 4 citizens who want to vote for the third candidate. Then numbers of votes would be 9, 1, 7, 2, 8 (Limak would have 9 votes). Alternatively, Limak could steal only 3 votes from the third candidate and 1 vote from the second candidate to get situation 9, 0, 8, 2, 8.
In the second sample Limak will steal 2 votes from each candidate. Situation will be 7, 6, 6, 6.
In the third sample Limak is a winner without bribing any citizen. | [
{
"input": "5\n5 1 11 2 8",
"output": "4"
},
{
"input": "4\n1 8 8 8",
"output": "6"
},
{
"input": "2\n7 6",
"output": "0"
},
{
"input": "2\n1 1",
"output": "1"
},
{
"input": "10\n100 200 57 99 1 1000 200 200 200 500",
"output": "451"
},
{
"input": "16\... | 62 | 1,740,800 | 3 | 1,494 | |
192 | Funky Numbers | [
"binary search",
"brute force",
"implementation"
] | null | null | As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as , where *k* is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.
A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number *n*, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)! | The first input line contains an integer *n* (1<=≤<=*n*<=≤<=109). | Print "YES" (without the quotes), if *n* can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes). | [
"256\n",
"512\n"
] | [
"YES\n",
"NO\n"
] | In the first sample number <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/92095692c6ea93e9e3b837a0408ba7543549d5b2.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample number 512 can not be represented as a sum of two triangular numbers. | [
{
"input": "256",
"output": "YES"
},
{
"input": "512",
"output": "NO"
},
{
"input": "80",
"output": "NO"
},
{
"input": "828",
"output": "YES"
},
{
"input": "6035",
"output": "NO"
},
{
"input": "39210",
"output": "YES"
},
{
"input": "79712",... | 62 | 0 | 0 | 1,497 | |
792 | Counting-out Rhyme | [
"implementation"
] | null | null | *n* children are standing in a circle and playing the counting-out game. Children are numbered clockwise from 1 to *n*. In the beginning, the first child is considered the leader. The game is played in *k* steps. In the *i*-th step the leader counts out *a**i* people in clockwise order, starting from the next person. The last one to be pointed at by the leader is eliminated, and the next player after him becomes the new leader.
For example, if there are children with numbers [8,<=10,<=13,<=14,<=16] currently in the circle, the leader is child 13 and *a**i*<==<=12, then counting-out rhyme ends on child 16, who is eliminated. Child 8 becomes the leader.
You have to write a program which prints the number of the child to be eliminated on every step. | The first line contains two integer numbers *n* and *k* (2<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=*n*<=-<=1).
The next line contains *k* integer numbers *a*1,<=*a*2,<=...,<=*a**k* (1<=≤<=*a**i*<=≤<=109). | Print *k* numbers, the *i*-th one corresponds to the number of child to be eliminated at the *i*-th step. | [
"7 5\n10 4 11 4 1\n",
"3 2\n2 5\n"
] | [
"4 2 5 6 1 \n",
"3 2 \n"
] | Let's consider first example:
- In the first step child 4 is eliminated, child 5 becomes the leader. - In the second step child 2 is eliminated, child 3 becomes the leader. - In the third step child 5 is eliminated, child 6 becomes the leader. - In the fourth step child 6 is eliminated, child 7 becomes the leader. - In the final step child 1 is eliminated, child 3 becomes the leader. | [
{
"input": "7 5\n10 4 11 4 1",
"output": "4 2 5 6 1 "
},
{
"input": "3 2\n2 5",
"output": "3 2 "
},
{
"input": "2 1\n1",
"output": "2 "
},
{
"input": "2 1\n2",
"output": "1 "
},
{
"input": "2 1\n3",
"output": "2 "
},
{
"input": "10 7\n5 10 4 3 8 10 6",... | 62 | 0 | 3 | 1,499 | |
412 | Poster | [
"greedy",
"implementation"
] | null | null | The R1 company has recently bought a high rise building in the centre of Moscow for its main office. It's time to decorate the new office, and the first thing to do is to write the company's slogan above the main entrance to the building.
The slogan of the company consists of *n* characters, so the decorators hung a large banner, *n* meters wide and 1 meter high, divided into *n* equal squares. The first character of the slogan must be in the first square (the leftmost) of the poster, the second character must be in the second square, and so on.
Of course, the R1 programmers want to write the slogan on the poster themselves. To do this, they have a large (and a very heavy) ladder which was put exactly opposite the *k*-th square of the poster. To draw the *i*-th character of the slogan on the poster, you need to climb the ladder, standing in front of the *i*-th square of the poster. This action (along with climbing up and down the ladder) takes one hour for a painter. The painter is not allowed to draw characters in the adjacent squares when the ladder is in front of the *i*-th square because the uncomfortable position of the ladder may make the characters untidy. Besides, the programmers can move the ladder. In one hour, they can move the ladder either a meter to the right or a meter to the left.
Drawing characters and moving the ladder is very tiring, so the programmers want to finish the job in as little time as possible. Develop for them an optimal poster painting plan! | The first line contains two integers, *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=100) — the number of characters in the slogan and the initial position of the ladder, correspondingly. The next line contains the slogan as *n* characters written without spaces. Each character of the slogan is either a large English letter, or digit, or one of the characters: '.', '!', ',', '?'. | In *t* lines, print the actions the programmers need to make. In the *i*-th line print:
- "LEFT" (without the quotes), if the *i*-th action was "move the ladder to the left"; - "RIGHT" (without the quotes), if the *i*-th action was "move the ladder to the right"; - "PRINT *x*" (without the quotes), if the *i*-th action was to "go up the ladder, paint character *x*, go down the ladder".
The painting time (variable *t*) must be minimum possible. If there are multiple optimal painting plans, you can print any of them. | [
"2 2\nR1\n",
"2 1\nR1\n",
"6 4\nGO?GO!\n"
] | [
"PRINT 1\nLEFT\nPRINT R\n",
"PRINT R\nRIGHT\nPRINT 1\n",
"RIGHT\nRIGHT\nPRINT !\nLEFT\nPRINT O\nLEFT\nPRINT G\nLEFT\nPRINT ?\nLEFT\nPRINT O\nLEFT\nPRINT G\n"
] | Note that the ladder cannot be shifted by less than one meter. The ladder can only stand in front of some square of the poster. For example, you cannot shift a ladder by half a meter and position it between two squares. Then go up and paint the first character and the second character. | [
{
"input": "2 2\nR1",
"output": "PRINT 1\nLEFT\nPRINT R"
},
{
"input": "2 1\nR1",
"output": "PRINT R\nRIGHT\nPRINT 1"
},
{
"input": "6 4\nGO?GO!",
"output": "RIGHT\nRIGHT\nPRINT !\nLEFT\nPRINT O\nLEFT\nPRINT G\nLEFT\nPRINT ?\nLEFT\nPRINT O\nLEFT\nPRINT G"
},
{
"input": "7 3\n... | 62 | 0 | 3 | 1,500 | |
690 | Brain Network (easy) | [] | null | null | One particularly well-known fact about zombies is that they move and think terribly slowly. While we still don't know why their movements are so sluggish, the problem of laggy thinking has been recently resolved. It turns out that the reason is not (as previously suspected) any kind of brain defect – it's the opposite! Independent researchers confirmed that the nervous system of a zombie is highly complicated – it consists of *n* brains (much like a cow has several stomachs). They are interconnected by brain connectors, which are veins capable of transmitting thoughts between brains. There are two important properties such a brain network should have to function properly:
1. It should be possible to exchange thoughts between any two pairs of brains (perhaps indirectly, through other brains). 1. There should be no redundant brain connectors, that is, removing any brain connector would make property 1 false.
If both properties are satisfied, we say that the nervous system is valid. Unfortunately (?), if the system is not valid, the zombie stops thinking and becomes (even more) dead. Your task is to analyze a given nervous system of a zombie and find out whether it is valid. | The first line of the input contains two space-separated integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) denoting the number of brains (which are conveniently numbered from 1 to *n*) and the number of brain connectors in the nervous system, respectively. In the next *m* lines, descriptions of brain connectors follow. Every connector is given as a pair of brains *a* *b* it connects (1<=≤<=*a*,<=*b*<=≤<=*n*, *a*<=≠<=*b*). | The output consists of one line, containing either yes or no depending on whether the nervous system is valid. | [
"4 4\n1 2\n2 3\n3 1\n4 1\n",
"6 5\n1 2\n2 3\n3 4\n4 5\n3 6\n"
] | [
"no\n",
"yes\n"
] | none | [
{
"input": "4 4\n1 2\n2 3\n3 1\n4 1",
"output": "no"
},
{
"input": "6 5\n1 2\n2 3\n3 4\n4 5\n3 6",
"output": "yes"
},
{
"input": "2 1\n1 2",
"output": "yes"
},
{
"input": "3 3\n2 1\n1 3\n3 2",
"output": "no"
},
{
"input": "3 2\n1 2\n2 3",
"output": "yes"
},
... | 109 | 0 | 0 | 1,501 | |
182 | Vasya's Calendar | [
"implementation"
] | null | null | Vasya lives in a strange world. The year has *n* months and the *i*-th month has *a**i* days. Vasya got a New Year present — the clock that shows not only the time, but also the date.
The clock's face can display any number from 1 to *d*. It is guaranteed that *a**i*<=≤<=*d* for all *i* from 1 to *n*. The clock does not keep information about the current month, so when a new day comes, it simply increases the current day number by one. The clock cannot display number *d*<=+<=1, so after day number *d* it shows day 1 (the current day counter resets). The mechanism of the clock allows you to increase the day number by one manually. When you execute this operation, day *d* is also followed by day 1.
Vasya begins each day checking the day number on the clock. If the day number on the clock does not match the actual day number in the current month, then Vasya manually increases it by one. Vasya is persistent and repeats this operation until the day number on the clock matches the actual number of the current day in the current month.
A year passed and Vasya wonders how many times he manually increased the day number by one, from the first day of the first month to the last day of the *n*-th month inclusive, considering that on the first day of the first month the clock display showed day 1. | The first line contains the single number *d* — the maximum number of the day that Vasya's clock can show (1<=≤<=*d*<=≤<=106).
The second line contains a single integer *n* — the number of months in the year (1<=≤<=*n*<=≤<=2000).
The third line contains *n* space-separated integers: *a**i* (1<=≤<=*a**i*<=≤<=*d*) — the number of days in each month in the order in which they follow, starting from the first one. | Print a single number — the number of times Vasya manually increased the day number by one throughout the last year. | [
"4\n2\n2 2\n",
"5\n3\n3 4 3\n",
"31\n12\n31 28 31 30 31 30 31 31 30 31 30 31\n"
] | [
"2\n",
"3\n",
"7\n"
] | In the first sample the situation is like this:
- Day 1. Month 1. The clock shows 1. Vasya changes nothing. - Day 2. Month 1. The clock shows 2. Vasya changes nothing. - Day 1. Month 2. The clock shows 3. Vasya manually increases the day number by 1. After that the clock shows 4. Vasya increases the day number by 1 manually. After that the clock shows 1. - Day 2. Month 2. The clock shows 2. Vasya changes nothing. | [
{
"input": "4\n2\n2 2",
"output": "2"
},
{
"input": "5\n3\n3 4 3",
"output": "3"
},
{
"input": "31\n12\n31 28 31 30 31 30 31 31 30 31 30 31",
"output": "7"
},
{
"input": "1\n1\n1",
"output": "0"
},
{
"input": "1\n2\n1 1",
"output": "0"
},
{
"input": "2... | 404 | 2,355,200 | -1 | 1,505 | |
266 | Queue at the School | [
"constructive algorithms",
"graph matchings",
"implementation",
"shortest paths"
] | null | null | During the break the schoolchildren, boys and girls, formed a queue of *n* people in the canteen. Initially the children stood in the order they entered the canteen. However, after a while the boys started feeling awkward for standing in front of the girls in the queue and they started letting the girls move forward each second.
Let's describe the process more precisely. Let's say that the positions in the queue are sequentially numbered by integers from 1 to *n*, at that the person in the position number 1 is served first. Then, if at time *x* a boy stands on the *i*-th position and a girl stands on the (*i*<=+<=1)-th position, then at time *x*<=+<=1 the *i*-th position will have a girl and the (*i*<=+<=1)-th position will have a boy. The time is given in seconds.
You've got the initial position of the children, at the initial moment of time. Determine the way the queue is going to look after *t* seconds. | The first line contains two integers *n* and *t* (1<=≤<=*n*,<=*t*<=≤<=50), which represent the number of children in the queue and the time after which the queue will transform into the arrangement you need to find.
The next line contains string *s*, which represents the schoolchildren's initial arrangement. If the *i*-th position in the queue contains a boy, then the *i*-th character of string *s* equals "B", otherwise the *i*-th character equals "G". | Print string *a*, which describes the arrangement after *t* seconds. If the *i*-th position has a boy after the needed time, then the *i*-th character *a* must equal "B", otherwise it must equal "G". | [
"5 1\nBGGBG\n",
"5 2\nBGGBG\n",
"4 1\nGGGB\n"
] | [
"GBGGB\n",
"GGBGB\n",
"GGGB\n"
] | none | [
{
"input": "5 1\nBGGBG",
"output": "GBGGB"
},
{
"input": "5 2\nBGGBG",
"output": "GGBGB"
},
{
"input": "4 1\nGGGB",
"output": "GGGB"
},
{
"input": "2 1\nBB",
"output": "BB"
},
{
"input": "2 1\nBG",
"output": "GB"
},
{
"input": "6 2\nBBGBBG",
"outpu... | 92 | 0 | 3 | 1,508 | |
1 | Spreadsheet | [
"implementation",
"math"
] | B. Spreadsheets | 10 | 64 | In the popular spreadsheets systems (for example, in Excel) the following numeration of columns is used. The first column has number A, the second — number B, etc. till column 26 that is marked by Z. Then there are two-letter numbers: column 27 has number AA, 28 — AB, column 52 is marked by AZ. After ZZ there follow three-letter numbers, etc.
The rows are marked by integer numbers starting with 1. The cell name is the concatenation of the column and the row numbers. For example, BC23 is the name for the cell that is in column 55, row 23.
Sometimes another numeration system is used: RXCY, where X and Y are integer numbers, showing the column and the row numbers respectfully. For instance, R23C55 is the cell from the previous example.
Your task is to write a program that reads the given sequence of cell coordinates and produce each item written according to the rules of another numeration system. | The first line of the input contains integer number *n* (1<=≤<=*n*<=≤<=105), the number of coordinates in the test. Then there follow *n* lines, each of them contains coordinates. All the coordinates are correct, there are no cells with the column and/or the row numbers larger than 106 . | Write *n* lines, each line should contain a cell coordinates in the other numeration system. | [
"2\nR23C55\nBC23\n"
] | [
"BC23\nR23C55\n"
] | none | [
{
"input": "2\nR23C55\nBC23",
"output": "BC23\nR23C55"
},
{
"input": "1\nA1",
"output": "R1C1"
},
{
"input": "5\nR8C3\nD1\nR7C2\nR8C9\nR8C9",
"output": "C8\nR1C4\nB7\nI8\nI8"
},
{
"input": "4\nR4C25\nR90C35\nAP55\nX83",
"output": "Y4\nAI90\nR55C42\nR83C24"
},
{
"i... | 92 | 0 | 0 | 1,509 |
427 | Prison Transfer | [
"data structures",
"implementation"
] | null | null | The prison of your city has *n* prisoners. As the prison can't accommodate all of them, the city mayor has decided to transfer *c* of the prisoners to a prison located in another city.
For this reason, he made the *n* prisoners to stand in a line, with a number written on their chests. The number is the severity of the crime he/she has committed. The greater the number, the more severe his/her crime was.
Then, the mayor told you to choose the *c* prisoners, who will be transferred to the other prison. He also imposed two conditions. They are,
- The chosen *c* prisoners has to form a contiguous segment of prisoners. - Any of the chosen prisoner's crime level should not be greater then *t*. Because, that will make the prisoner a severe criminal and the mayor doesn't want to take the risk of his running away during the transfer.
Find the number of ways you can choose the *c* prisoners. | The first line of input will contain three space separated integers *n* (1<=≤<=*n*<=≤<=2·105), *t* (0<=≤<=*t*<=≤<=109) and *c* (1<=≤<=*c*<=≤<=*n*). The next line will contain *n* space separated integers, the *i**th* integer is the severity *i**th* prisoner's crime. The value of crime severities will be non-negative and will not exceed 109. | Print a single integer — the number of ways you can choose the *c* prisoners. | [
"4 3 3\n2 3 1 1\n",
"1 1 1\n2\n",
"11 4 2\n2 2 0 7 3 2 2 4 9 1 4\n"
] | [
"2\n",
"0\n",
"6\n"
] | none | [
{
"input": "4 3 3\n2 3 1 1",
"output": "2"
},
{
"input": "1 1 1\n2",
"output": "0"
},
{
"input": "11 4 2\n2 2 0 7 3 2 2 4 9 1 4",
"output": "6"
},
{
"input": "57 2 10\n7 5 2 7 4 1 0 5 2 9 2 9 8 6 6 5 9 6 8 1 0 1 0 3 2 6 5 2 8 8 8 8 0 9 4 3 6 6 2 4 5 1 2 0 1 7 1 1 5 4 5 0 7 5 ... | 139 | 25,600,000 | -1 | 1,515 | |
225 | Barcode | [
"dp",
"matrices"
] | null | null | You've got an *n*<=×<=*m* pixel picture. Each pixel can be white or black. Your task is to change the colors of as few pixels as possible to obtain a barcode picture.
A picture is a barcode if the following conditions are fulfilled:
- All pixels in each column are of the same color. - The width of each monochrome vertical line is at least *x* and at most *y* pixels. In other words, if we group all neighbouring columns of the pixels with equal color, the size of each group can not be less than *x* or greater than *y*. | The first line contains four space-separated integers *n*, *m*, *x* and *y* (1<=≤<=*n*,<=*m*,<=*x*,<=*y*<=≤<=1000; *x*<=≤<=*y*).
Then follow *n* lines, describing the original image. Each of these lines contains exactly *m* characters. Character "." represents a white pixel and "#" represents a black pixel. The picture description doesn't have any other characters besides "." and "#". | In the first line print the minimum number of pixels to repaint. It is guaranteed that the answer exists. | [
"6 5 1 2\n##.#.\n.###.\n###..\n#...#\n.##.#\n###..\n",
"2 5 1 1\n#####\n.....\n"
] | [
"11\n",
"5\n"
] | In the first test sample the picture after changing some colors can looks as follows:
In the second test sample the picture after changing some colors can looks as follows: | [
{
"input": "6 5 1 2\n##.#.\n.###.\n###..\n#...#\n.##.#\n###..",
"output": "11"
},
{
"input": "10 5 3 7\n.####\n###..\n##.##\n#..#.\n.#...\n#.##.\n.##..\n.#.##\n#.#..\n.#..#",
"output": "24"
},
{
"input": "6 3 1 4\n##.\n#..\n#..\n..#\n.#.\n#.#",
"output": "6"
},
{
"input": "5 ... | 154 | 0 | 0 | 1,516 | |
984 | Minesweeper | [
"implementation"
] | null | null | One day Alex decided to remember childhood when computers were not too powerful and lots of people played only default games. Alex enjoyed playing Minesweeper that time. He imagined that he saved world from bombs planted by terrorists, but he rarely won.
Alex has grown up since then, so he easily wins the most difficult levels. This quickly bored him, and he thought: what if the computer gave him invalid fields in the childhood and Alex could not win because of it?
He needs your help to check it.
A Minesweeper field is a rectangle $n \times m$, where each cell is either empty, or contains a digit from $1$ to $8$, or a bomb. The field is valid if for each cell:
- if there is a digit $k$ in the cell, then exactly $k$ neighboring cells have bombs. - if the cell is empty, then all neighboring cells have no bombs.
Two cells are neighbors if they have a common side or a corner (i. e. a cell has at most $8$ neighboring cells). | The first line contains two integers $n$ and $m$ ($1 \le n, m \le 100$) — the sizes of the field.
The next $n$ lines contain the description of the field. Each line contains $m$ characters, each of them is "." (if this cell is empty), "*" (if there is bomb in this cell), or a digit from $1$ to $8$, inclusive. | Print "YES", if the field is valid and "NO" otherwise.
You can choose the case (lower or upper) for each letter arbitrarily. | [
"3 3\n111\n1*1\n111\n",
"2 4\n*.*.\n1211\n"
] | [
"YES",
"NO"
] | In the second example the answer is "NO" because, if the positions of the bombs are preserved, the first line of the field should be *2*1.
You can read more about Minesweeper in [Wikipedia's article](https://en.wikipedia.org/wiki/Minesweeper_(video_game)). | [
{
"input": "3 3\n111\n1*1\n111",
"output": "YES"
},
{
"input": "2 4\n*.*.\n1211",
"output": "NO"
},
{
"input": "1 10\n.....1*1..",
"output": "YES"
},
{
"input": "1 1\n4",
"output": "NO"
},
{
"input": "10 10\n..........\n...111111.\n..13*21*1.\n.12**2111.\n.1*542..... | 31 | 0 | 0 | 1,517 | |
847 | Weather Tomorrow | [
"implementation",
"math"
] | null | null | Vasya came up with his own weather forecasting method. He knows the information about the average air temperature for each of the last *n* days. Assume that the average air temperature for each day is integral.
Vasya believes that if the average temperatures over the last *n* days form an arithmetic progression, where the first term equals to the average temperature on the first day, the second term equals to the average temperature on the second day and so on, then the average temperature of the next (*n*<=+<=1)-th day will be equal to the next term of the arithmetic progression. Otherwise, according to Vasya's method, the temperature of the (*n*<=+<=1)-th day will be equal to the temperature of the *n*-th day.
Your task is to help Vasya predict the average temperature for tomorrow, i. e. for the (*n*<=+<=1)-th day. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=100) — the number of days for which the average air temperature is known.
The second line contains a sequence of integers *t*1,<=*t*2,<=...,<=*t**n* (<=-<=1000<=≤<=*t**i*<=≤<=1000) — where *t**i* is the average temperature in the *i*-th day. | Print the average air temperature in the (*n*<=+<=1)-th day, which Vasya predicts according to his method. Note that the absolute value of the predicted temperature can exceed 1000. | [
"5\n10 5 0 -5 -10\n",
"4\n1 1 1 1\n",
"3\n5 1 -5\n",
"2\n900 1000\n"
] | [
"-15\n",
"1\n",
"-5\n",
"1100\n"
] | In the first example the sequence of the average temperatures is an arithmetic progression where the first term is 10 and each following terms decreases by 5. So the predicted average temperature for the sixth day is - 10 - 5 = - 15.
In the second example the sequence of the average temperatures is an arithmetic progression where the first term is 1 and each following terms equals to the previous one. So the predicted average temperature in the fifth day is 1.
In the third example the average temperatures do not form an arithmetic progression, so the average temperature of the fourth day equals to the temperature of the third day and equals to - 5.
In the fourth example the sequence of the average temperatures is an arithmetic progression where the first term is 900 and each the following terms increase by 100. So predicted average temperature in the third day is 1000 + 100 = 1100. | [
{
"input": "5\n10 5 0 -5 -10",
"output": "-15"
},
{
"input": "4\n1 1 1 1",
"output": "1"
},
{
"input": "3\n5 1 -5",
"output": "-5"
},
{
"input": "2\n900 1000",
"output": "1100"
},
{
"input": "2\n1 2",
"output": "3"
},
{
"input": "3\n2 5 8",
"output... | 46 | 0 | 3 | 1,527 | |
0 | none | [
"none"
] | null | null | Asterix, Obelix and their temporary buddies Suffix and Prefix has finally found the Harmony temple. However, its doors were firmly locked and even Obelix had no luck opening them.
A little later they found a string *s*, carved on a rock below the temple's gates. Asterix supposed that that's the password that opens the temple and read the string aloud. However, nothing happened. Then Asterix supposed that a password is some substring *t* of the string *s*.
Prefix supposed that the substring *t* is the beginning of the string *s*; Suffix supposed that the substring *t* should be the end of the string *s*; and Obelix supposed that *t* should be located somewhere inside the string *s*, that is, *t* is neither its beginning, nor its end.
Asterix chose the substring *t* so as to please all his companions. Besides, from all acceptable variants Asterix chose the longest one (as Asterix loves long strings). When Asterix read the substring *t* aloud, the temple doors opened.
You know the string *s*. Find the substring *t* or determine that such substring does not exist and all that's been written above is just a nice legend. | You are given the string *s* whose length can vary from 1 to 106 (inclusive), consisting of small Latin letters. | Print the string *t*. If a suitable *t* string does not exist, then print "Just a legend" without the quotes. | [
"fixprefixsuffix\n",
"abcdabc\n"
] | [
"fix",
"Just a legend"
] | none | [
{
"input": "fixprefixsuffix",
"output": "fix"
},
{
"input": "abcdabc",
"output": "Just a legend"
},
{
"input": "qwertyqwertyqwerty",
"output": "qwerty"
},
{
"input": "papapapap",
"output": "papap"
},
{
"input": "aaaaaaaaaa",
"output": "aaaaaaaa"
},
{
"... | 124 | 4,608,000 | 0 | 1,529 | |
260 | Ancient Prophesy | [
"brute force",
"implementation",
"strings"
] | null | null | A recently found Ancient Prophesy is believed to contain the exact Apocalypse date. The prophesy is a string that only consists of digits and characters "-".
We'll say that some date is mentioned in the Prophesy if there is a substring in the Prophesy that is the date's record in the format "dd-mm-yyyy". We'll say that the number of the date's occurrences is the number of such substrings in the Prophesy. For example, the Prophesy "0012-10-2012-10-2012" mentions date 12-10-2012 twice (first time as "0012-10-2012-10-2012", second time as "0012-10-2012-10-2012").
The date of the Apocalypse is such correct date that the number of times it is mentioned in the Prophesy is strictly larger than that of any other correct date.
A date is correct if the year lies in the range from 2013 to 2015, the month is from 1 to 12, and the number of the day is strictly more than a zero and doesn't exceed the number of days in the current month. Note that a date is written in the format "dd-mm-yyyy", that means that leading zeroes may be added to the numbers of the months or days if needed. In other words, date "1-1-2013" isn't recorded in the format "dd-mm-yyyy", and date "01-01-2013" is recorded in it.
Notice, that any year between 2013 and 2015 is not a leap year. | The first line contains the Prophesy: a non-empty string that only consists of digits and characters "-". The length of the Prophesy doesn't exceed 105 characters. | In a single line print the date of the Apocalypse. It is guaranteed that such date exists and is unique. | [
"777-444---21-12-2013-12-2013-12-2013---444-777\n"
] | [
"13-12-2013"
] | none | [
{
"input": "777-444---21-12-2013-12-2013-12-2013---444-777",
"output": "13-12-2013"
},
{
"input": "30-12-201429-15-208830-12-2014",
"output": "30-12-2014"
},
{
"input": "14-08-201314-08-201314-08-201381-16-20172406414-08-201314-08-201314-08-20134237014-08-201314-08-2013",
"output": "... | 546 | 1,536,000 | -1 | 1,531 | |
656 | Da Vinci Powers | [
"*special"
] | null | null | The input contains a single integer *a* (0<=≤<=*a*<=≤<=35).
Output a single integer. | The input contains a single integer *a* (0<=≤<=*a*<=≤<=35). | Output a single integer. | [
"3\n",
"10\n"
] | [
"8\n",
"1024\n"
] | none | [
{
"input": "3",
"output": "8"
},
{
"input": "10",
"output": "1024"
},
{
"input": "35",
"output": "33940307968"
},
{
"input": "0",
"output": "1"
},
{
"input": "1",
"output": "2"
},
{
"input": "2",
"output": "4"
},
{
"input": "4",
"output... | 62 | 0 | 3 | 1,532 | |
757 | Gotta Catch Em' All! | [
"implementation"
] | null | null | Bash wants to become a Pokemon master one day. Although he liked a lot of Pokemon, he has always been fascinated by Bulbasaur the most. Soon, things started getting serious and his fascination turned into an obsession. Since he is too young to go out and catch Bulbasaur, he came up with his own way of catching a Bulbasaur.
Each day, he takes the front page of the newspaper. He cuts out the letters one at a time, from anywhere on the front page of the newspaper to form the word "Bulbasaur" (without quotes) and sticks it on his wall. Bash is very particular about case — the first letter of "Bulbasaur" must be upper case and the rest must be lower case. By doing this he thinks he has caught one Bulbasaur. He then repeats this step on the left over part of the newspaper. He keeps doing this until it is not possible to form the word "Bulbasaur" from the newspaper.
Given the text on the front page of the newspaper, can you tell how many Bulbasaurs he will catch today?
Note: uppercase and lowercase letters are considered different. | Input contains a single line containing a string *s* (1<=<=≤<=<=|*s*|<=<=≤<=<=105) — the text on the front page of the newspaper without spaces and punctuation marks. |*s*| is the length of the string *s*.
The string *s* contains lowercase and uppercase English letters, i.e. . | Output a single integer, the answer to the problem. | [
"Bulbbasaur\n",
"F\n",
"aBddulbasaurrgndgbualdBdsagaurrgndbb\n"
] | [
"1\n",
"0\n",
"2\n"
] | In the first case, you could pick: Bulbbasaur.
In the second case, there is no way to pick even a single Bulbasaur.
In the third case, you can rearrange the string to BulbasaurBulbasauraddrgndgddgargndbb to get two words "Bulbasaur". | [
{
"input": "Bulbbasaur",
"output": "1"
},
{
"input": "F",
"output": "0"
},
{
"input": "aBddulbasaurrgndgbualdBdsagaurrgndbb",
"output": "2"
},
{
"input": "BBBBBBBBBBbbbbbbbbbbuuuuuuuuuullllllllllssssssssssaaaaaaaaaarrrrrrrrrr",
"output": "5"
},
{
"input": "BBBBBBB... | 62 | 0 | 0 | 1,533 | |
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<=≤<=*n*,<=*m*<=≤<=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<=≤<=|*name*|<=≤<=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<=≤<=|*command*|<=≤<=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... | 46 | 0 | 0 | 1,537 | |
336 | Vasily the Bear and Sequence | [
"brute force",
"greedy",
"implementation",
"number theory"
] | null | null | Vasily the bear has got a sequence of positive integers *a*1,<=*a*2,<=...,<=*a**n*. Vasily the Bear wants to write out several numbers on a piece of paper so that the beauty of the numbers he wrote out was maximum.
The beauty of the written out numbers *b*1,<=*b*2,<=...,<=*b**k* is such maximum non-negative integer *v*, that number *b*1 *and* *b*2 *and* ... *and* *b**k* is divisible by number 2*v* without a remainder. If such number *v* doesn't exist (that is, for any non-negative integer *v*, number *b*1 *and* *b*2 *and* ... *and* *b**k* is divisible by 2*v* without a remainder), the beauty of the written out numbers equals -1.
Tell the bear which numbers he should write out so that the beauty of the written out numbers is maximum. If there are multiple ways to write out the numbers, you need to choose the one where the bear writes out as many numbers as possible.
Here expression *x* *and* *y* means applying the bitwise AND operation to numbers *x* and *y*. In programming languages C++ and Java this operation is represented by "&", in Pascal — by "and". | The first line contains integer *n* (1<=≤<=*n*<=≤<=105). The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a*1<=<<=*a*2<=<<=...<=<<=*a**n*<=≤<=109). | In the first line print a single integer *k* (*k*<=><=0), showing how many numbers to write out. In the second line print *k* integers *b*1,<=*b*2,<=...,<=*b**k* — the numbers to write out. You are allowed to print numbers *b*1,<=*b*2,<=...,<=*b**k* in any order, but all of them must be distinct. If there are multiple ways to write out the numbers, choose the one with the maximum number of numbers to write out. If there still are multiple ways, you are allowed to print any of them. | [
"5\n1 2 3 4 5\n",
"3\n1 2 4\n"
] | [
"2\n4 5\n",
"1\n4\n"
] | none | [
{
"input": "5\n1 2 3 4 5",
"output": "2\n4 5"
},
{
"input": "3\n1 2 4",
"output": "1\n4"
},
{
"input": "3\n1 20 22",
"output": "2\n20 22"
},
{
"input": "10\n109070199 215498062 361633800 406156967 452258663 530571268 670482660 704334662 841023955 967424642",
"output": "6\... | 61 | 6,963,200 | 0 | 1,539 | |
75 | Modified GCD | [
"binary search",
"number theory"
] | C. Modified GCD | 2 | 256 | Well, here is another math class task. In mathematics, GCD is the greatest common divisor, and it's an easy task to calculate the GCD between two positive integers.
A common divisor for two positive numbers is a number which both numbers are divisible by.
But your teacher wants to give you a harder task, in this task you have to find the greatest common divisor *d* between two integers *a* and *b* that is in a given range from *low* to *high* (inclusive), i.e. *low*<=≤<=*d*<=≤<=*high*. It is possible that there is no common divisor in the given range.
You will be given the two integers *a* and *b*, then *n* queries. Each query is a range from *low* to *high* and you have to answer each query. | The first line contains two integers *a* and *b*, the two integers as described above (1<=≤<=*a*,<=*b*<=≤<=109). The second line contains one integer *n*, the number of queries (1<=≤<=*n*<=≤<=104). Then *n* lines follow, each line contains one query consisting of two integers, *low* and *high* (1<=≤<=*low*<=≤<=*high*<=≤<=109). | Print *n* lines. The *i*-th of them should contain the result of the *i*-th query in the input. If there is no common divisor in the given range for any query, you should print -1 as a result for this query. | [
"9 27\n3\n1 5\n10 11\n9 11\n"
] | [
"3\n-1\n9\n"
] | none | [
{
"input": "9 27\n3\n1 5\n10 11\n9 11",
"output": "3\n-1\n9"
},
{
"input": "48 72\n2\n8 29\n29 37",
"output": "24\n-1"
},
{
"input": "90 100\n10\n51 61\n6 72\n1 84\n33 63\n37 69\n18 21\n9 54\n49 90\n14 87\n37 90",
"output": "-1\n10\n10\n-1\n-1\n-1\n10\n-1\n-1\n-1"
},
{
"input... | 592 | 614,400 | 3.850856 | 1,545 |
839 | Arya and Bran | [
"implementation"
] | null | null | Bran and his older sister Arya are from the same house. Bran like candies so much, so Arya is going to give him some Candies.
At first, Arya and Bran have 0 Candies. There are *n* days, at the *i*-th day, Arya finds *a**i* candies in a box, that is given by the Many-Faced God. Every day she can give Bran at most 8 of her candies. If she don't give him the candies at the same day, they are saved for her and she can give them to him later.
Your task is to find the minimum number of days Arya needs to give Bran *k* candies before the end of the *n*-th day. Formally, you need to output the minimum day index to the end of which *k* candies will be given out (the days are indexed from 1 to *n*).
Print -1 if she can't give him *k* candies during *n* given days. | The first line contains two integers *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=10000).
The second line contains *n* integers *a*1,<=*a*2,<=*a*3,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=100). | If it is impossible for Arya to give Bran *k* candies within *n* days, print -1.
Otherwise print a single integer — the minimum number of days Arya needs to give Bran *k* candies before the end of the *n*-th day. | [
"2 3\n1 2\n",
"3 17\n10 10 10\n",
"1 9\n10\n"
] | [
"2",
"3",
"-1"
] | In the first sample, Arya can give Bran 3 candies in 2 days.
In the second sample, Arya can give Bran 17 candies in 3 days, because she can give him at most 8 candies per day.
In the third sample, Arya can't give Bran 9 candies, because she can give him at most 8 candies per day and she must give him the candies within 1 day. | [
{
"input": "2 3\n1 2",
"output": "2"
},
{
"input": "3 17\n10 10 10",
"output": "3"
},
{
"input": "1 9\n10",
"output": "-1"
},
{
"input": "10 70\n6 5 2 3 3 2 1 4 3 2",
"output": "-1"
},
{
"input": "20 140\n40 4 81 40 10 54 34 50 84 60 16 1 90 78 38 93 99 60 81 99",... | 202 | 2,355,200 | 0 | 1,546 | |
862 | Mahmoud and Ehab and the MEX | [
"greedy",
"implementation"
] | null | null | Dr. Evil kidnapped Mahmoud and Ehab in the evil land because of their performance in the Evil Olympiad in Informatics (EOI). He decided to give them some problems to let them go.
Dr. Evil is interested in sets, He has a set of *n* integers. Dr. Evil calls a set of integers evil if the MEX of it is exactly *x*. the MEX of a set of integers is the minimum non-negative integer that doesn't exist in it. For example, the MEX of the set {0,<=2,<=4} is 1 and the MEX of the set {1,<=2,<=3} is 0 .
Dr. Evil is going to make his set evil. To do this he can perform some operations. During each operation he can add some non-negative integer to his set or erase some element from it. What is the minimal number of operations Dr. Evil has to perform to make his set evil? | The first line contains two integers *n* and *x* (1<=≤<=*n*<=≤<=100, 0<=≤<=*x*<=≤<=100) — the size of the set Dr. Evil owns, and the desired MEX.
The second line contains *n* distinct non-negative integers not exceeding 100 that represent the set. | The only line should contain one integer — the minimal number of operations Dr. Evil should perform. | [
"5 3\n0 4 5 6 7\n",
"1 0\n0\n",
"5 0\n1 2 3 4 5\n"
] | [
"2\n",
"1\n",
"0\n"
] | For the first test case Dr. Evil should add 1 and 2 to the set performing 2 operations.
For the second test case Dr. Evil should erase 0 from the set. After that, the set becomes empty, so the MEX of it is 0.
In the third test case the set is already evil. | [
{
"input": "5 3\n0 4 5 6 7",
"output": "2"
},
{
"input": "1 0\n0",
"output": "1"
},
{
"input": "5 0\n1 2 3 4 5",
"output": "0"
},
{
"input": "10 5\n57 1 47 9 93 37 76 70 78 15",
"output": "4"
},
{
"input": "10 5\n99 98 93 97 95 100 92 94 91 96",
"output": "5"
... | 30 | 0 | 0 | 1,548 | |
371 | Vessels | [
"data structures",
"dsu",
"implementation",
"trees"
] | null | null | There is a system of *n* vessels arranged one above the other as shown in the figure below. Assume that the vessels are numbered from 1 to *n*, in the order from the highest to the lowest, the volume of the *i*-th vessel is *a**i* liters.
Initially, all the vessels are empty. In some vessels water is poured. All the water that overflows from the *i*-th vessel goes to the (*i*<=+<=1)-th one. The liquid that overflows from the *n*-th vessel spills on the floor.
Your task is to simulate pouring water into the vessels. To do this, you will need to handle two types of queries:
1. Add *x**i* liters of water to the *p**i*-th vessel; 1. Print the number of liters of water in the *k**i*-th vessel.
When you reply to the second request you can assume that all the water poured up to this point, has already overflown between the vessels. | The first line contains integer *n* — the number of vessels (1<=≤<=*n*<=≤<=2·105). The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* — the vessels' capacities (1<=≤<=*a**i*<=≤<=109). The vessels' capacities do not necessarily increase from the top vessels to the bottom ones (see the second sample). The third line contains integer *m* — the number of queries (1<=≤<=*m*<=≤<=2·105). Each of the next *m* lines contains the description of one query. The query of the first type is represented as "1 *p**i* *x**i*", the query of the second type is represented as "2 *k**i*" (1<=≤<=*p**i*<=≤<=*n*, 1<=≤<=*x**i*<=≤<=109, 1<=≤<=*k**i*<=≤<=*n*). | For each query, print on a single line the number of liters of water in the corresponding vessel. | [
"2\n5 10\n6\n1 1 4\n2 1\n1 2 5\n1 1 4\n2 1\n2 2\n",
"3\n5 10 8\n6\n1 1 12\n2 2\n1 1 6\n1 3 2\n2 2\n2 3\n"
] | [
"4\n5\n8\n",
"7\n10\n5\n"
] | none | [
{
"input": "2\n5 10\n6\n1 1 4\n2 1\n1 2 5\n1 1 4\n2 1\n2 2",
"output": "4\n5\n8"
},
{
"input": "3\n5 10 8\n6\n1 1 12\n2 2\n1 1 6\n1 3 2\n2 2\n2 3",
"output": "7\n10\n5"
},
{
"input": "10\n71 59 88 55 18 98 38 73 53 58\n20\n1 5 93\n1 7 69\n2 3\n1 1 20\n2 10\n1 6 74\n1 7 100\n1 9 14\n2 3\n... | 529 | 18,739,200 | -1 | 1,553 | |
568 | Primes or Palindromes? | [
"brute force",
"implementation",
"math",
"number theory"
] | null | null | Rikhail Mubinchik believes that the current definition of prime numbers is obsolete as they are too complex and unpredictable. A palindromic number is another matter. It is aesthetically pleasing, and it has a number of remarkable properties. Help Rikhail to convince the scientific community in this!
Let us remind you that a number is called prime if it is integer larger than one, and is not divisible by any positive integer other than itself and one.
Rikhail calls a number a palindromic if it is integer, positive, and its decimal representation without leading zeros is a palindrome, i.e. reads the same from left to right and right to left.
One problem with prime numbers is that there are too many of them. Let's introduce the following notation: π(*n*) — the number of primes no larger than *n*, *rub*(*n*) — the number of palindromic numbers no larger than *n*. Rikhail wants to prove that there are a lot more primes than palindromic ones.
He asked you to solve the following problem: for a given value of the coefficient *A* find the maximum *n*, such that π(*n*)<=≤<=*A*·*rub*(*n*). | The input consists of two positive integers *p*, *q*, the numerator and denominator of the fraction that is the value of *A* (, ). | If such maximum number exists, then print it. Otherwise, print "Palindromic tree is better than splay tree" (without the quotes). | [
"1 1\n",
"1 42\n",
"6 4\n"
] | [
"40\n",
"1\n",
"172\n"
] | none | [
{
"input": "1 1",
"output": "40"
},
{
"input": "1 42",
"output": "1"
},
{
"input": "6 4",
"output": "172"
},
{
"input": "3 1",
"output": "2530"
},
{
"input": "42 1",
"output": "1179858"
},
{
"input": "10000 239",
"output": "1168638"
},
{
"i... | 3,000 | 29,081,600 | 0 | 1,555 | |
520 | Two Buttons | [
"dfs and similar",
"graphs",
"greedy",
"implementation",
"math",
"shortest paths"
] | null | null | Vasya has found a strange device. On the front panel of a device there are: a red button, a blue button and a display showing some positive integer. After clicking the red button, device multiplies the displayed number by two. After clicking the blue button, device subtracts one from the number on the display. If at some point the number stops being positive, the device breaks down. The display can show arbitrarily large numbers. Initially, the display shows number *n*.
Bob wants to get number *m* on the display. What minimum number of clicks he has to make in order to achieve this result? | The first and the only line of the input contains two distinct integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=104), separated by a space . | Print a single number — the minimum number of times one needs to push the button required to get the number *m* out of number *n*. | [
"4 6\n",
"10 1\n"
] | [
"2\n",
"9\n"
] | In the first example you need to push the blue button once, and then push the red button once.
In the second example, doubling the number is unnecessary, so we need to push the blue button nine times. | [
{
"input": "4 6",
"output": "2"
},
{
"input": "10 1",
"output": "9"
},
{
"input": "1 2",
"output": "1"
},
{
"input": "2 1",
"output": "1"
},
{
"input": "1 3",
"output": "3"
},
{
"input": "3 1",
"output": "2"
},
{
"input": "2 10",
"outpu... | 61 | 1,228,800 | 3 | 1,556 | |
336 | Vasily the Bear and Triangle | [
"implementation",
"math"
] | null | null | Vasily the bear has a favorite rectangle, it has one vertex at point (0,<=0), and the opposite vertex at point (*x*,<=*y*). Of course, the sides of Vasya's favorite rectangle are parallel to the coordinate axes.
Vasya also loves triangles, if the triangles have one vertex at point *B*<==<=(0,<=0). That's why today he asks you to find two points *A*<==<=(*x*1,<=*y*1) and *C*<==<=(*x*2,<=*y*2), such that the following conditions hold:
- the coordinates of points: *x*1, *x*2, *y*1, *y*2 are integers. Besides, the following inequation holds: *x*1<=<<=*x*2; - the triangle formed by point *A*, *B* and *C* is rectangular and isosceles ( is right); - all points of the favorite rectangle are located inside or on the border of triangle *ABC*; - the area of triangle *ABC* is as small as possible.
Help the bear, find the required points. It is not so hard to proof that these points are unique. | The first line contains two integers *x*,<=*y* (<=-<=109<=≤<=*x*,<=*y*<=≤<=109,<=*x*<=≠<=0,<=*y*<=≠<=0). | Print in the single line four integers *x*1,<=*y*1,<=*x*2,<=*y*2 — the coordinates of the required points. | [
"10 5\n",
"-10 5\n"
] | [
"0 15 15 0\n",
"-15 0 0 15\n"
] | <img class="tex-graphics" src="https://espresso.codeforces.com/a9ea2088c4294ce8f23801562fda36b830df2c3f.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Figure to the first sample | [
{
"input": "10 5",
"output": "0 15 15 0"
},
{
"input": "-10 5",
"output": "-15 0 0 15"
},
{
"input": "20 -10",
"output": "0 -30 30 0"
},
{
"input": "-10 -1000000000",
"output": "-1000000010 0 0 -1000000010"
},
{
"input": "-1000000000 -1000000000",
"output": "-... | 186 | 0 | 3 | 1,557 | |
898 | Phone Numbers | [
"implementation",
"strings"
] | null | null | Vasya has several phone books, in which he recorded the telephone numbers of his friends. Each of his friends can have one or several phone numbers.
Vasya decided to organize information about the phone numbers of friends. You will be given *n* strings — all entries from Vasya's phone books. Each entry starts with a friend's name. Then follows the number of phone numbers in the current entry, and then the phone numbers themselves. It is possible that several identical phones are recorded in the same record.
Vasya also believes that if the phone number *a* is a suffix of the phone number *b* (that is, the number *b* ends up with *a*), and both numbers are written by Vasya as the phone numbers of the same person, then *a* is recorded without the city code and it should not be taken into account.
The task is to print organized information about the phone numbers of Vasya's friends. It is possible that two different people have the same number. If one person has two numbers *x* and *y*, and *x* is a suffix of *y* (that is, *y* ends in *x*), then you shouldn't print number *x*. If the number of a friend in the Vasya's phone books is recorded several times in the same format, it is necessary to take it into account exactly once.
Read the examples to understand statement and format of the output better. | First line contains the integer *n* (1<=≤<=*n*<=≤<=20) — number of entries in Vasya's phone books.
The following *n* lines are followed by descriptions of the records in the format described in statement. Names of Vasya's friends are non-empty strings whose length does not exceed 10. They consists only of lowercase English letters. Number of phone numbers in one entry is not less than 1 is not more than 10. The telephone numbers consist of digits only. If you represent a phone number as a string, then its length will be in range from 1 to 10. Phone numbers can contain leading zeros. | Print out the ordered information about the phone numbers of Vasya's friends. First output *m* — number of friends that are found in Vasya's phone books.
The following *m* lines must contain entries in the following format "name number_of_phone_numbers phone_numbers". Phone numbers should be separated by a space. Each record must contain all the phone numbers of current friend.
Entries can be displayed in arbitrary order, phone numbers for one record can also be printed in arbitrary order. | [
"2\nivan 1 00123\nmasha 1 00123\n",
"3\nkarl 2 612 12\npetr 1 12\nkatya 1 612\n",
"4\nivan 3 123 123 456\nivan 2 456 456\nivan 8 789 3 23 6 56 9 89 2\ndasha 2 23 789\n"
] | [
"2\nmasha 1 00123 \nivan 1 00123 \n",
"3\nkatya 1 612 \npetr 1 12 \nkarl 1 612 \n",
"2\ndasha 2 23 789 \nivan 4 789 123 2 456 \n"
] | none | [
{
"input": "2\nivan 1 00123\nmasha 1 00123",
"output": "2\nmasha 1 00123 \nivan 1 00123 "
},
{
"input": "3\nkarl 2 612 12\npetr 1 12\nkatya 1 612",
"output": "3\nkatya 1 612 \npetr 1 12 \nkarl 1 612 "
},
{
"input": "4\nivan 3 123 123 456\nivan 2 456 456\nivan 8 789 3 23 6 56 9 89 2\ndash... | 170 | 307,200 | 0 | 1,558 | |
0 | none | [
"none"
] | null | null | Theater stage is a rectangular field of size *n*<=×<=*m*. The director gave you the stage's plan which actors will follow. For each cell it is stated in the plan if there would be an actor in this cell or not.
You are to place a spotlight on the stage in some good position. The spotlight will project light in one of the four directions (if you look at the stage from above) — left, right, up or down. Thus, the spotlight's position is a cell it is placed to and a direction it shines.
A position is good if two conditions hold:
- there is no actor in the cell the spotlight is placed to; - there is at least one actor in the direction the spotlight projects.
Count the number of good positions for placing the spotlight. Two positions of spotlight are considered to be different if the location cells or projection direction differ. | The first line contains two positive integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the number of rows and the number of columns in the plan.
The next *n* lines contain *m* integers, 0 or 1 each — the description of the plan. Integer 1, means there will be an actor in the corresponding cell, while 0 means the cell will remain empty. It is guaranteed that there is at least one actor in the plan. | Print one integer — the number of good positions for placing the spotlight. | [
"2 4\n0 1 0 0\n1 0 1 0\n",
"4 4\n0 0 0 0\n1 0 0 1\n0 1 1 0\n0 1 0 0\n"
] | [
"9\n",
"20\n"
] | In the first example the following positions are good:
1. the (1, 1) cell and right direction; 1. the (1, 1) cell and down direction; 1. the (1, 3) cell and left direction; 1. the (1, 3) cell and down direction; 1. the (1, 4) cell and left direction; 1. the (2, 2) cell and left direction; 1. the (2, 2) cell and up direction; 1. the (2, 2) and right direction; 1. the (2, 4) cell and left direction.
Therefore, there are 9 good positions in this example. | [
{
"input": "2 4\n0 1 0 0\n1 0 1 0",
"output": "9"
},
{
"input": "4 4\n0 0 0 0\n1 0 0 1\n0 1 1 0\n0 1 0 0",
"output": "20"
},
{
"input": "1 5\n1 1 0 0 0",
"output": "3"
},
{
"input": "2 10\n0 0 0 0 0 0 0 1 0 0\n1 0 0 0 0 0 0 0 0 0",
"output": "20"
},
{
"input": "3 ... | 1,000 | 5,939,200 | 0 | 1,559 | |
4 | Registration System | [
"data structures",
"hashing",
"implementation"
] | C. Registration system | 5 | 64 | A new e-mail service "Berlandesk" is going to be opened in Berland in the near future. The site administration wants to launch their project as soon as possible, that's why they ask you to help. You're suggested to implement the prototype of site registration system. The system should work on the following principle.
Each time a new user wants to register, he sends to the system a request with his name. If such a name does not exist in the system database, it is inserted into the database, and the user gets the response OK, confirming the successful registration. If the name already exists in the system database, the system makes up a new user name, sends it to the user as a prompt and also inserts the prompt into the database. The new name is formed by the following rule. Numbers, starting with 1, are appended one after another to name (name1, name2, ...), among these numbers the least *i* is found so that name*i* does not yet exist in the database. | The first line contains number *n* (1<=≤<=*n*<=≤<=105). The following *n* lines contain the requests to the system. Each request is a non-empty line, and consists of not more than 32 characters, which are all lowercase Latin letters. | Print *n* lines, which are system responses to the requests: OK in case of successful registration, or a prompt with a new name, if the requested name is already taken. | [
"4\nabacaba\nacaba\nabacaba\nacab\n",
"6\nfirst\nfirst\nsecond\nsecond\nthird\nthird\n"
] | [
"OK\nOK\nabacaba1\nOK\n",
"OK\nfirst1\nOK\nsecond1\nOK\nthird1\n"
] | none | [
{
"input": "4\nabacaba\nacaba\nabacaba\nacab",
"output": "OK\nOK\nabacaba1\nOK"
},
{
"input": "6\nfirst\nfirst\nsecond\nsecond\nthird\nthird",
"output": "OK\nfirst1\nOK\nsecond1\nOK\nthird1"
},
{
"input": "1\nn",
"output": "OK"
},
{
"input": "2\nu\nu",
"output": "OK\nu1"
... | 92 | 0 | 0 | 1,564 |
336 | Vasily the Bear and Fly | [
"math"
] | null | null | One beautiful day Vasily the bear painted 2*m* circles of the same radius *R* on a coordinate plane. Circles with numbers from 1 to *m* had centers at points (2*R*<=-<=*R*,<=0), (4*R*<=-<=*R*,<=0), ..., (2*Rm*<=-<=*R*,<=0), respectively. Circles with numbers from *m*<=+<=1 to 2*m* had centers at points (2*R*<=-<=*R*,<=2*R*), (4*R*<=-<=*R*,<=2*R*), ..., (2*Rm*<=-<=*R*,<=2*R*), respectively.
Naturally, the bear painted the circles for a simple experiment with a fly. The experiment continued for *m*2 days. Each day of the experiment got its own unique number from 0 to *m*2<=-<=1, inclusive.
On the day number *i* the following things happened:
1. The fly arrived at the coordinate plane at the center of the circle with number ( is the result of dividing number *x* by number *y*, rounded down to an integer). 1. The fly went along the coordinate plane to the center of the circle number ( is the remainder after dividing number *x* by number *y*). The bear noticed that the fly went from the center of circle *v* to the center of circle *u* along the shortest path with all points lying on the border or inside at least one of the 2*m* circles. After the fly reached the center of circle *u*, it flew away in an unknown direction.
Help Vasily, count the average distance the fly went along the coordinate plane during each of these *m*2 days. | The first line contains two integers *m*,<=*R* (1<=≤<=*m*<=≤<=105, 1<=≤<=*R*<=≤<=10). | In a single line print a single real number — the answer to the problem. The answer will be considered correct if its absolute or relative error doesn't exceed 10<=-<=6. | [
"1 1\n",
"2 2\n"
] | [
"2.0000000000\n",
"5.4142135624\n"
] | <img class="tex-graphics" src="https://espresso.codeforces.com/9fe384073741e20965ddc4bf162afd3a604b6b39.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Figure to the second sample | [
{
"input": "1 1",
"output": "2.0000000000"
},
{
"input": "2 2",
"output": "5.4142135624"
},
{
"input": "100000 3",
"output": "200002.4853316681"
},
{
"input": "2344 5",
"output": "7817.4790439982"
},
{
"input": "999 10",
"output": "6668.3010410807"
},
{
... | 686 | 0 | 3 | 1,568 | |
468 | Hack it! | [
"binary search",
"constructive algorithms",
"math"
] | null | null | Little X has met the following problem recently.
Let's define *f*(*x*) as the sum of digits in decimal representation of number *x* (for example, *f*(1234)<==<=1<=+<=2<=+<=3<=+<=4). You are to calculate
Of course Little X has solved this problem quickly, has locked it, and then has tried to hack others. He has seen the following C++ code: | The first line contains a single integer *a* (1<=≤<=*a*<=≤<=1018). | Print two integers: *l*,<=*r* (1<=≤<=*l*<=≤<=*r*<=<<=10200) — the required test data. Leading zeros aren't allowed. It's guaranteed that the solution exists. | [
"46\n",
"126444381000032\n"
] | [
"1 10\n",
"2333333 2333333333333\n"
] | none | [
{
"input": "46",
"output": "1 10"
},
{
"input": "126444381000032",
"output": "2333333 2333333333333"
},
{
"input": "69645082595",
"output": "613752823618441225798858488535 713259406474207764329704856394"
},
{
"input": "70602205995",
"output": "11 2492213340204320744986569... | 62 | 0 | 3 | 1,574 | |
534 | Covered Path | [
"dp",
"greedy",
"math"
] | null | null | The on-board computer on Polycarp's car measured that the car speed at the beginning of some section of the path equals *v*1 meters per second, and in the end it is *v*2 meters per second. We know that this section of the route took exactly *t* seconds to pass.
Assuming that at each of the seconds the speed is constant, and between seconds the speed can change at most by *d* meters per second in absolute value (i.e., the difference in the speed of any two adjacent seconds does not exceed *d* in absolute value), find the maximum possible length of the path section in meters. | The first line contains two integers *v*1 and *v*2 (1<=≤<=*v*1,<=*v*2<=≤<=100) — the speeds in meters per second at the beginning of the segment and at the end of the segment, respectively.
The second line contains two integers *t* (2<=≤<=*t*<=≤<=100) — the time when the car moves along the segment in seconds, *d* (0<=≤<=*d*<=≤<=10) — the maximum value of the speed change between adjacent seconds.
It is guaranteed that there is a way to complete the segment so that:
- the speed in the first second equals *v*1, - the speed in the last second equals *v*2, - the absolute value of difference of speeds between any two adjacent seconds doesn't exceed *d*. | Print the maximum possible length of the path segment in meters. | [
"5 6\n4 2\n",
"10 10\n10 0\n"
] | [
"26",
"100"
] | In the first sample the sequence of speeds of Polycarpus' car can look as follows: 5, 7, 8, 6. Thus, the total path is 5 + 7 + 8 + 6 = 26 meters.
In the second sample, as *d* = 0, the car covers the whole segment at constant speed *v* = 10. In *t* = 10 seconds it covers the distance of 100 meters. | [
{
"input": "5 6\n4 2",
"output": "26"
},
{
"input": "10 10\n10 0",
"output": "100"
},
{
"input": "87 87\n2 10",
"output": "174"
},
{
"input": "1 11\n6 2",
"output": "36"
},
{
"input": "100 10\n10 10",
"output": "550"
},
{
"input": "1 1\n100 10",
"o... | 108 | 0 | 0 | 1,575 | |
962 | Equator | [
"implementation"
] | null | null | Polycarp has created his own training plan to prepare for the programming contests. He will train for $n$ days, all days are numbered from $1$ to $n$, beginning from the first.
On the $i$-th day Polycarp will necessarily solve $a_i$ problems. One evening Polycarp plans to celebrate the equator. He will celebrate it on the first evening of such a day that from the beginning of the training and to this day inclusive he will solve half or more of all the problems.
Determine the index of day when Polycarp will celebrate the equator. | The first line contains a single integer $n$ ($1 \le n \le 200\,000$) — the number of days to prepare for the programming contests.
The second line contains a sequence $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10\,000$), where $a_i$ equals to the number of problems, which Polycarp will solve on the $i$-th day. | Print the index of the day when Polycarp will celebrate the equator. | [
"4\n1 3 2 1\n",
"6\n2 2 2 2 2 2\n"
] | [
"2\n",
"3\n"
] | In the first example Polycarp will celebrate the equator on the evening of the second day, because up to this day (inclusive) he will solve $4$ out of $7$ scheduled problems on four days of the training.
In the second example Polycarp will celebrate the equator on the evening of the third day, because up to this day (inclusive) he will solve $6$ out of $12$ scheduled problems on six days of the training. | [
{
"input": "4\n1 3 2 1",
"output": "2"
},
{
"input": "6\n2 2 2 2 2 2",
"output": "3"
},
{
"input": "1\n10000",
"output": "1"
},
{
"input": "3\n2 1 1",
"output": "1"
},
{
"input": "2\n1 3",
"output": "2"
},
{
"input": "4\n2 1 1 3",
"output": "3"
}... | 171 | 20,582,400 | 3 | 1,579 | |
1,003 | Coins and Queries | [
"greedy"
] | null | null | Polycarp has $n$ coins, the value of the $i$-th coin is $a_i$. It is guaranteed that all the values are integer powers of $2$ (i.e. $a_i = 2^d$ for some non-negative integer number $d$).
Polycarp wants to know answers on $q$ queries. The $j$-th query is described as integer number $b_j$. The answer to the query is the minimum number of coins that is necessary to obtain the value $b_j$ using some subset of coins (Polycarp can use only coins he has). If Polycarp can't obtain the value $b_j$, the answer to the $j$-th query is -1.
The queries are independent (the answer on the query doesn't affect Polycarp's coins). | The first line of the input contains two integers $n$ and $q$ ($1 \le n, q \le 2 \cdot 10^5$) — the number of coins and the number of queries.
The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ — values of coins ($1 \le a_i \le 2 \cdot 10^9$). It is guaranteed that all $a_i$ are integer powers of $2$ (i.e. $a_i = 2^d$ for some non-negative integer number $d$).
The next $q$ lines contain one integer each. The $j$-th line contains one integer $b_j$ — the value of the $j$-th query ($1 \le b_j \le 10^9$). | Print $q$ integers $ans_j$. The $j$-th integer must be equal to the answer on the $j$-th query. If Polycarp can't obtain the value $b_j$ the answer to the $j$-th query is -1. | [
"5 4\n2 4 8 2 4\n8\n5\n14\n10\n"
] | [
"1\n-1\n3\n2\n"
] | none | [
{
"input": "5 4\n2 4 8 2 4\n8\n5\n14\n10",
"output": "1\n-1\n3\n2"
},
{
"input": "3 3\n1 1 1\n1\n2\n3",
"output": "1\n2\n3"
},
{
"input": "4 1\n2 4 16 32\n14",
"output": "-1"
},
{
"input": "1 10\n8\n1\n2\n3\n4\n5\n6\n7\n8\n9\n16",
"output": "-1\n-1\n-1\n-1\n-1\n-1\n-1\n1\... | 124 | 2,150,400 | -1 | 1,580 | |
26 | Regular Bracket Sequence | [
"greedy"
] | B. Regular Bracket Sequence | 5 | 256 | A bracket sequence is called regular if it is possible to obtain correct arithmetic expression by inserting characters «+» and «1» into this sequence. For example, sequences «(())()», «()» and «(()(()))» are regular, while «)(», «(()» and «(()))(» are not.
One day Johnny got bracket sequence. He decided to remove some of the brackets from it in order to obtain a regular bracket sequence. What is the maximum length of a regular bracket sequence which can be obtained? | Input consists of a single line with non-empty string of «(» and «)» characters. Its length does not exceed 106. | Output the maximum possible length of a regular bracket sequence. | [
"(()))(\n",
"((()())\n"
] | [
"4\n",
"6\n"
] | none | [
{
"input": "(()))(",
"output": "4"
},
{
"input": "((()())",
"output": "6"
},
{
"input": "(",
"output": "0"
},
{
"input": ")",
"output": "0"
},
{
"input": ")(()(",
"output": "2"
},
{
"input": "))))))(",
"output": "0"
},
{
"input": "()()(()((... | 92 | 0 | 0 | 1,585 |
518 | Vitaly and Strings | [
"constructive algorithms",
"strings"
] | null | null | Vitaly is a diligent student who never missed a lesson in his five years of studying in the university. He always does his homework on time and passes his exams in time.
During the last lesson the teacher has provided two strings *s* and *t* to Vitaly. The strings have the same length, they consist of lowercase English letters, string *s* is lexicographically smaller than string *t*. Vitaly wondered if there is such string that is lexicographically larger than string *s* and at the same is lexicographically smaller than string *t*. This string should also consist of lowercase English letters and have the length equal to the lengths of strings *s* and *t*.
Let's help Vitaly solve this easy problem! | The first line contains string *s* (1<=≤<=|*s*|<=≤<=100), consisting of lowercase English letters. Here, |*s*| denotes the length of the string.
The second line contains string *t* (|*t*|<==<=|*s*|), consisting of lowercase English letters.
It is guaranteed that the lengths of strings *s* and *t* are the same and string *s* is lexicographically less than string *t*. | If the string that meets the given requirements doesn't exist, print a single string "No such string" (without the quotes).
If such string exists, print it. If there are multiple valid strings, you may print any of them. | [
"a\nc\n",
"aaa\nzzz\n",
"abcdefg\nabcdefh\n"
] | [
"b\n",
"kkk\n",
"No such string\n"
] | String *s* = *s*<sub class="lower-index">1</sub>*s*<sub class="lower-index">2</sub>... *s*<sub class="lower-index">*n*</sub> is said to be lexicographically smaller than *t* = *t*<sub class="lower-index">1</sub>*t*<sub class="lower-index">2</sub>... *t*<sub class="lower-index">*n*</sub>, if there exists such *i*, that *s*<sub class="lower-index">1</sub> = *t*<sub class="lower-index">1</sub>, *s*<sub class="lower-index">2</sub> = *t*<sub class="lower-index">2</sub>, ... *s*<sub class="lower-index">*i* - 1</sub> = *t*<sub class="lower-index">*i* - 1</sub>, *s*<sub class="lower-index">*i*</sub> < *t*<sub class="lower-index">*i*</sub>. | [
{
"input": "a\nc",
"output": "b"
},
{
"input": "aaa\nzzz",
"output": "kkk"
},
{
"input": "abcdefg\nabcdefh",
"output": "No such string"
},
{
"input": "abcdefg\nabcfefg",
"output": "abcdefh"
},
{
"input": "frt\nfru",
"output": "No such string"
},
{
"inp... | 46 | 0 | 0 | 1,589 | |
691 | s-palindrome | [
"implementation",
"strings"
] | null | null | Let's call a string "s-palindrome" if it is symmetric about the middle of the string. For example, the string "oHo" is "s-palindrome", but the string "aa" is not. The string "aa" is not "s-palindrome", because the second half of it is not a mirror reflection of the first half.
You are given a string *s*. Check if the string is "s-palindrome". | The only line contains the string *s* (1<=≤<=|*s*|<=≤<=1000) which consists of only English letters. | Print "TAK" if the string *s* is "s-palindrome" and "NIE" otherwise. | [
"oXoxoXo\n",
"bod\n",
"ER\n"
] | [
"TAK\n",
"TAK\n",
"NIE\n"
] | none | [
{
"input": "oXoxoXo",
"output": "TAK"
},
{
"input": "bod",
"output": "TAK"
},
{
"input": "ER",
"output": "NIE"
},
{
"input": "o",
"output": "TAK"
},
{
"input": "a",
"output": "NIE"
},
{
"input": "opo",
"output": "NIE"
},
{
"input": "HCMoxkg... | 93 | 0 | 0 | 1,590 | |
274 | k-Multiple Free Set | [
"binary search",
"greedy",
"sortings"
] | null | null | A *k*-multiple free set is a set of integers where there is no pair of integers where one is equal to another integer multiplied by *k*. That is, there are no two integers *x* and *y* (*x*<=<<=*y*) from the set, such that *y*<==<=*x*·*k*.
You're given a set of *n* distinct positive integers. Your task is to find the size of it's largest *k*-multiple free subset. | The first line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*k*<=≤<=109). The next line contains a list of *n* distinct positive integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109).
All the numbers in the lines are separated by single spaces. | On the only line of the output print the size of the largest *k*-multiple free subset of {*a*1,<=*a*2,<=...,<=*a**n*}. | [
"6 2\n2 3 6 5 4 10\n"
] | [
"3\n"
] | In the sample input one of the possible maximum 2-multiple free subsets is {4, 5, 6}. | [
{
"input": "6 2\n2 3 6 5 4 10",
"output": "3"
},
{
"input": "10 2\n1 2 3 4 5 6 7 8 9 10",
"output": "6"
},
{
"input": "1 1\n1",
"output": "1"
},
{
"input": "100 2\n191 17 61 40 77 95 128 88 26 69 79 10 131 106 142 152 68 39 182 53 83 81 6 89 65 148 33 22 5 47 107 121 52 163 1... | 2,000 | 8,294,400 | 0 | 1,592 | |
676 | Vasya and String | [
"binary search",
"dp",
"strings",
"two pointers"
] | null | null | High school student Vasya got a string of length *n* as a birthday present. This string consists of letters 'a' and 'b' only. Vasya denotes beauty of the string as the maximum length of a substring (consecutive subsequence) consisting of equal letters.
Vasya can change no more than *k* characters of the original string. What is the maximum beauty of the string he can achieve? | The first line of the input contains two integers *n* and *k* (1<=≤<=*n*<=≤<=100<=000,<=0<=≤<=*k*<=≤<=*n*) — the length of the string and the maximum number of characters to change.
The second line contains the string, consisting of letters 'a' and 'b' only. | Print the only integer — the maximum beauty of the string Vasya can achieve by changing no more than *k* characters. | [
"4 2\nabba\n",
"8 1\naabaabaa\n"
] | [
"4\n",
"5\n"
] | In the first sample, Vasya can obtain both strings "aaaa" and "bbbb".
In the second sample, the optimal answer is obtained with the string "aaaaabaa" or with the string "aabaaaaa". | [
{
"input": "4 2\nabba",
"output": "4"
},
{
"input": "8 1\naabaabaa",
"output": "5"
},
{
"input": "1 0\na",
"output": "1"
},
{
"input": "1 1\nb",
"output": "1"
},
{
"input": "1 0\nb",
"output": "1"
},
{
"input": "1 1\na",
"output": "1"
},
{
... | 31 | 0 | 0 | 1,594 | |
505 | Mr. Kitayuta's Gift | [
"brute force",
"implementation",
"strings"
] | null | null | Mr. Kitayuta has kindly given you a string *s* consisting of lowercase English letters. You are asked to insert exactly one lowercase English letter into *s* to make it a palindrome. A palindrome is a string that reads the same forward and backward. For example, "noon", "testset" and "a" are all palindromes, while "test" and "kitayuta" are not.
You can choose any lowercase English letter, and insert it to any position of *s*, possibly to the beginning or the end of *s*. You have to insert a letter even if the given string is already a palindrome.
If it is possible to insert one lowercase English letter into *s* so that the resulting string will be a palindrome, print the string after the insertion. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one palindrome that can be obtained, you are allowed to print any of them. | The only line of the input contains a string *s* (1<=≤<=|*s*|<=≤<=10). Each character in *s* is a lowercase English letter. | If it is possible to turn *s* into a palindrome by inserting one lowercase English letter, print the resulting string in a single line. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one solution, any of them will be accepted. | [
"revive\n",
"ee\n",
"kitayuta\n"
] | [
"reviver\n",
"eye",
"NA\n"
] | For the first sample, insert 'r' to the end of "revive" to obtain a palindrome "reviver".
For the second sample, there is more than one solution. For example, "eve" will also be accepted.
For the third sample, it is not possible to turn "kitayuta" into a palindrome by just inserting one letter. | [
{
"input": "revive",
"output": "reviver"
},
{
"input": "ee",
"output": "eee"
},
{
"input": "kitayuta",
"output": "NA"
},
{
"input": "evima",
"output": "NA"
},
{
"input": "a",
"output": "aa"
},
{
"input": "yutampo",
"output": "NA"
},
{
"inpu... | 93 | 0 | 0 | 1,598 | |
111 | Petya and Inequiations | [
"greedy"
] | A. Petya and Inequiations | 2 | 256 | Little Petya loves inequations. Help him find *n* positive integers *a*1,<=*a*2,<=...,<=*a**n*, such that the following two conditions are satisfied:
- *a*12<=+<=*a*22<=+<=...<=+<=*a**n*2<=≥<=*x*- *a*1<=+<=*a*2<=+<=...<=+<=*a**n*<=≤<=*y* | The first line contains three space-separated integers *n*, *x* and *y* (1<=≤<=*n*<=≤<=105,<=1<=≤<=*x*<=≤<=1012,<=1<=≤<=*y*<=≤<=106).
Please do not use the %lld specificator to read or write 64-bit integers in С++. It is recommended to use cin, cout streams or the %I64d specificator. | Print *n* positive integers that satisfy the conditions, one integer per line. If such numbers do not exist, print a single number "-1". If there are several solutions, print any of them. | [
"5 15 15\n",
"2 3 2\n",
"1 99 11\n"
] | [
"4\n4\n1\n1\n2\n",
"-1\n",
"11\n"
] | none | [
{
"input": "5 15 15",
"output": "11\n1\n1\n1\n1"
},
{
"input": "2 3 2",
"output": "-1"
},
{
"input": "1 99 11",
"output": "11"
},
{
"input": "100000 810000099998 1000000",
"output": "900001\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n... | 436 | 8,089,600 | 3.875932 | 1,603 |
175 | Robot Bicorn Attack | [
"brute force",
"implementation"
] | null | null | Vasya plays Robot Bicorn Attack.
The game consists of three rounds. For each one a non-negative integer amount of points is given. The result of the game is the sum of obtained points. Vasya has already played three rounds and wrote obtained points one by one (without leading zeros) into the string *s*. Vasya decided to brag about his achievement to the friends. However, he has forgotten how many points he got for each round. The only thing he remembers is the string *s*.
Help Vasya to find out what is the maximum amount of points he could get. Take into account that Vasya played Robot Bicorn Attack for the first time, so he could not get more than 1000000 (106) points for one round. | The only line of input contains non-empty string *s* obtained by Vasya. The string consists of digits only. The string length does not exceed 30 characters. | Print the only number — the maximum amount of points Vasya could get. If Vasya is wrong and the string could not be obtained according to the rules then output number -1. | [
"1234\n",
"9000\n",
"0009\n"
] | [
"37\n",
"90\n",
"-1\n"
] | In the first example the string must be split into numbers 1, 2 and 34.
In the second example the string must be split into numbers 90, 0 and 0.
In the third example the string is incorrect, because after splitting the string into 3 numbers number 00 or 09 will be obtained, but numbers cannot have leading zeroes. | [
{
"input": "1234",
"output": "37"
},
{
"input": "9000",
"output": "90"
},
{
"input": "0009",
"output": "-1"
},
{
"input": "100000010000001000000",
"output": "3000000"
},
{
"input": "1000000011",
"output": "1000011"
},
{
"input": "9991",
"output": "... | 61 | 5,529,600 | 0 | 1,608 | |
598 | Igor In the Museum | [
"dfs and similar",
"graphs",
"shortest paths"
] | null | null | Igor is in the museum and he wants to see as many pictures as possible.
Museum can be represented as a rectangular field of *n*<=×<=*m* cells. Each cell is either empty or impassable. Empty cells are marked with '.', impassable cells are marked with '*'. Every two adjacent cells of different types (one empty and one impassable) are divided by a wall containing one picture.
At the beginning Igor is in some empty cell. At every moment he can move to any empty cell that share a side with the current one.
For several starting positions you should calculate the maximum number of pictures that Igor can see. Igor is able to see the picture only if he is in the cell adjacent to the wall with this picture. Igor have a lot of time, so he will examine every picture he can see. | First line of the input contains three integers *n*, *m* and *k* (3<=≤<=*n*,<=*m*<=≤<=1000,<=1<=≤<=*k*<=≤<=*min*(*n*·*m*,<=100<=000)) — the museum dimensions and the number of starting positions to process.
Each of the next *n* lines contains *m* symbols '.', '*' — the description of the museum. It is guaranteed that all border cells are impassable, so Igor can't go out from the museum.
Each of the last *k* lines contains two integers *x* and *y* (1<=≤<=*x*<=≤<=*n*,<=1<=≤<=*y*<=≤<=*m*) — the row and the column of one of Igor's starting positions respectively. Rows are numbered from top to bottom, columns — from left to right. It is guaranteed that all starting positions are empty cells. | Print *k* integers — the maximum number of pictures, that Igor can see if he starts in corresponding position. | [
"5 6 3\n******\n*..*.*\n******\n*....*\n******\n2 2\n2 5\n4 3\n",
"4 4 1\n****\n*..*\n*.**\n****\n3 2\n"
] | [
"6\n4\n10\n",
"8\n"
] | none | [
{
"input": "5 6 3\n******\n*..*.*\n******\n*....*\n******\n2 2\n2 5\n4 3",
"output": "6\n4\n10"
},
{
"input": "4 4 1\n****\n*..*\n*.**\n****\n3 2",
"output": "8"
},
{
"input": "3 3 1\n***\n*.*\n***\n2 2",
"output": "4"
},
{
"input": "5 5 10\n*****\n*...*\n*..**\n*.***\n*****\... | 1,000 | 27,852,800 | 0 | 1,609 | |
938 | Word Correction | [
"implementation"
] | null | null | Victor tries to write his own text editor, with word correction included. However, the rules of word correction are really strange.
Victor thinks that if a word contains two consecutive vowels, then it's kinda weird and it needs to be replaced. So the word corrector works in such a way: as long as there are two consecutive vowels in the word, it deletes the first vowel in a word such that there is another vowel right before it. If there are no two consecutive vowels in the word, it is considered to be correct.
You are given a word *s*. Can you predict what will it become after correction?
In this problem letters a, e, i, o, u and y are considered to be vowels. | The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of letters in word *s* before the correction.
The second line contains a string *s* consisting of exactly *n* lowercase Latin letters — the word before the correction. | Output the word *s* after the correction. | [
"5\nweird\n",
"4\nword\n",
"5\naaeaa\n"
] | [
"werd\n",
"word\n",
"a\n"
] | Explanations of the examples:
1. There is only one replace: weird <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/70a0795f45d32287dba0eb83fc4a3f470c6e5537.png" style="max-width: 100.0%;max-height: 100.0%;"/> werd;1. No replace needed since there are no two consecutive vowels;1. aaeaa <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/70a0795f45d32287dba0eb83fc4a3f470c6e5537.png" style="max-width: 100.0%;max-height: 100.0%;"/> aeaa <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/70a0795f45d32287dba0eb83fc4a3f470c6e5537.png" style="max-width: 100.0%;max-height: 100.0%;"/> aaa <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/70a0795f45d32287dba0eb83fc4a3f470c6e5537.png" style="max-width: 100.0%;max-height: 100.0%;"/> aa <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/70a0795f45d32287dba0eb83fc4a3f470c6e5537.png" style="max-width: 100.0%;max-height: 100.0%;"/> a. | [
{
"input": "5\nweird",
"output": "werd"
},
{
"input": "4\nword",
"output": "word"
},
{
"input": "5\naaeaa",
"output": "a"
},
{
"input": "100\naaaaabbbbboyoyoyoyoyacadabbbbbiuiufgiuiuaahjabbbklboyoyoyoyoyaaaaabbbbbiuiuiuiuiuaaaaabbbbbeyiyuyzyw",
"output": "abbbbbocadabbbbb... | 140 | 0 | 3 | 1,610 | |
245 | Queries for Number of Palindromes | [
"dp",
"hashing",
"strings"
] | null | null | You've got a string *s*<==<=*s*1*s*2... *s*|*s*| of length |*s*|, consisting of lowercase English letters. There also are *q* queries, each query is described by two integers *l**i*,<=*r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=|*s*|). The answer to the query is the number of substrings of string *s*[*l**i*... *r**i*], which are palindromes.
String *s*[*l*... *r*]<==<=*s**l**s**l*<=+<=1... *s**r* (1<=≤<=*l*<=≤<=*r*<=≤<=|*s*|) is a substring of string *s*<==<=*s*1*s*2... *s*|*s*|.
String *t* is called a palindrome, if it reads the same from left to right and from right to left. Formally, if *t*<==<=*t*1*t*2... *t*|*t*|<==<=*t*|*t*|*t*|*t*|<=-<=1... *t*1. | The first line contains string *s* (1<=≤<=|*s*|<=≤<=5000). The second line contains a single integer *q* (1<=≤<=*q*<=≤<=106) — the number of queries. Next *q* lines contain the queries. The *i*-th of these lines contains two space-separated integers *l**i*,<=*r**i* (1<=≤<=*l**i*<=≤<=*r**i*<=≤<=|*s*|) — the description of the *i*-th query.
It is guaranteed that the given string consists only of lowercase English letters. | Print *q* integers — the answers to the queries. Print the answers in the order, in which the queries are given in the input. Separate the printed numbers by whitespaces. | [
"caaaba\n5\n1 1\n1 4\n2 3\n4 6\n4 5\n"
] | [
"1\n7\n3\n4\n2\n"
] | Consider the fourth query in the first test case. String *s*[4... 6] = «aba». Its palindrome substrings are: «a», «b», «a», «aba». | [
{
"input": "caaaba\n5\n1 1\n1 4\n2 3\n4 6\n4 5",
"output": "1\n7\n3\n4\n2"
},
{
"input": "a\n100\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 1\n1 ... | 5,000 | 34,918,400 | 0 | 1,616 | |
221 | Little Elephant and Function | [
"implementation",
"math"
] | null | null | The Little Elephant enjoys recursive functions.
This time he enjoys the sorting function. Let *a* is a permutation of an integers from 1 to *n*, inclusive, and *a**i* denotes the *i*-th element of the permutation. The Little Elephant's recursive function *f*(*x*), that sorts the first *x* permutation's elements, works as follows:
- If *x*<==<=1, exit the function. - Otherwise, call *f*(*x*<=-<=1), and then make *swap*(*a**x*<=-<=1,<=*a**x*) (swap the *x*-th and (*x*<=-<=1)-th elements of *a*).
The Little Elephant's teacher believes that this function does not work correctly. But that-be do not get an F, the Little Elephant wants to show the performance of its function. Help him, find a permutation of numbers from 1 to *n*, such that after performing the Little Elephant's function (that is call *f*(*n*)), the permutation will be sorted in ascending order. | A single line contains integer *n* (1<=≤<=*n*<=≤<=1000) — the size of permutation. | In a single line print *n* distinct integers from 1 to *n* — the required permutation. Numbers in a line should be separated by spaces.
It is guaranteed that the answer exists. | [
"1\n",
"2\n"
] | [
"1 ",
"2 1 "
] | none | [
{
"input": "1",
"output": "1 "
},
{
"input": "2",
"output": "2 1 "
},
{
"input": "3",
"output": "3 1 2 "
},
{
"input": "4",
"output": "4 1 2 3 "
},
{
"input": "5",
"output": "5 1 2 3 4 "
},
{
"input": "6",
"output": "6 1 2 3 4 5 "
},
{
"inp... | 248 | 0 | 0 | 1,624 | |
712 | Memory and Crow | [
"implementation",
"math"
] | null | null | There are *n* integers *b*1,<=*b*2,<=...,<=*b**n* written in a row. For all *i* from 1 to *n*, values *a**i* are defined by the crows performing the following procedure:
- The crow sets *a**i* initially 0. - The crow then adds *b**i* to *a**i*, subtracts *b**i*<=+<=1, adds the *b**i*<=+<=2 number, and so on until the *n*'th number. Thus, *a**i*<==<=*b**i*<=-<=*b**i*<=+<=1<=+<=*b**i*<=+<=2<=-<=*b**i*<=+<=3....
Memory gives you the values *a*1,<=*a*2,<=...,<=*a**n*, and he now wants you to find the initial numbers *b*1,<=*b*2,<=...,<=*b**n* written in the row? Can you do it? | The first line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000) — the number of integers written in the row.
The next line contains *n*, the *i*'th of which is *a**i* (<=-<=109<=≤<=*a**i*<=≤<=109) — the value of the *i*'th number. | Print *n* integers corresponding to the sequence *b*1,<=*b*2,<=...,<=*b**n*. It's guaranteed that the answer is unique and fits in 32-bit integer type. | [
"5\n6 -4 8 -2 3\n",
"5\n3 -2 -1 5 6\n"
] | [
"2 4 6 1 3 \n",
"1 -3 4 11 6 \n"
] | In the first sample test, the crows report the numbers 6, - 4, 8, - 2, and 3 when he starts at indices 1, 2, 3, 4 and 5 respectively. It is easy to check that the sequence 2 4 6 1 3 satisfies the reports. For example, 6 = 2 - 4 + 6 - 1 + 3, and - 4 = 4 - 6 + 1 - 3.
In the second sample test, the sequence 1, - 3, 4, 11, 6 satisfies the reports. For example, 5 = 11 - 6 and 6 = 6. | [
{
"input": "5\n6 -4 8 -2 3",
"output": "2 4 6 1 3 "
},
{
"input": "5\n3 -2 -1 5 6",
"output": "1 -3 4 11 6 "
},
{
"input": "10\n13 -2 532 -63 -23 -63 -64 -23 12 10",
"output": "11 530 469 -86 -86 -127 -87 -11 22 10 "
},
{
"input": "10\n0 0 0 0 0 0 0 0 0 0",
"output": "0 0... | 405 | 8,396,800 | 3 | 1,625 | |
808 | Lucky Year | [
"implementation"
] | null | null | Apart from having lots of holidays throughout the year, residents of Berland also have whole lucky years. Year is considered lucky if it has no more than 1 non-zero digit in its number. So years 100, 40000, 5 are lucky and 12, 3001 and 12345 are not.
You are given current year in Berland. Your task is to find how long will residents of Berland wait till the next lucky year. | The first line contains integer number *n* (1<=≤<=*n*<=≤<=109) — current year in Berland. | Output amount of years from the current year to the next lucky one. | [
"4\n",
"201\n",
"4000\n"
] | [
"1\n",
"99\n",
"1000\n"
] | In the first example next lucky year is 5. In the second one — 300. In the third — 5000. | [
{
"input": "4",
"output": "1"
},
{
"input": "201",
"output": "99"
},
{
"input": "4000",
"output": "1000"
},
{
"input": "9",
"output": "1"
},
{
"input": "10",
"output": "10"
},
{
"input": "1",
"output": "1"
},
{
"input": "100000000",
"ou... | 155 | 0 | 3 | 1,628 | |
761 | Dasha and Stairs | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | On her way to programming school tiger Dasha faced her first test — a huge staircase!
The steps were numbered from one to infinity. As we know, tigers are very fond of all striped things, it is possible that it has something to do with their color. So on some interval of her way she calculated two values — the number of steps with even and odd numbers.
You need to check whether there is an interval of steps from the *l*-th to the *r*-th (1<=≤<=*l*<=≤<=*r*), for which values that Dasha has found are correct. | In the only line you are given two integers *a*, *b* (0<=≤<=*a*,<=*b*<=≤<=100) — the number of even and odd steps, accordingly. | In the only line print "YES", if the interval of steps described above exists, and "NO" otherwise. | [
"2 3\n",
"3 1\n"
] | [
"YES\n",
"NO\n"
] | In the first example one of suitable intervals is from 1 to 5. The interval contains two even steps — 2 and 4, and three odd: 1, 3 and 5. | [
{
"input": "2 3",
"output": "YES"
},
{
"input": "3 1",
"output": "NO"
},
{
"input": "5 4",
"output": "YES"
},
{
"input": "9 9",
"output": "YES"
},
{
"input": "85 95",
"output": "NO"
},
{
"input": "0 1",
"output": "YES"
},
{
"input": "89 25"... | 109 | 0 | 3 | 1,629 | |
20 | BerOS file system | [
"implementation"
] | A. BerOS file system | 2 | 64 | The new operating system BerOS has a nice feature. It is possible to use any number of characters '/' as a delimiter in path instead of one traditional '/'. For example, strings //usr///local//nginx/sbin// and /usr/local/nginx///sbin are equivalent. The character '/' (or some sequence of such characters) at the end of the path is required only in case of the path to the root directory, which can be represented as single character '/'.
A path called normalized if it contains the smallest possible number of characters '/'.
Your task is to transform a given path to the normalized form. | The first line of the input contains only lowercase Latin letters and character '/' — the path to some directory. All paths start with at least one character '/'. The length of the given line is no more than 100 characters, it is not empty. | The path in normalized form. | [
"//usr///local//nginx/sbin\n"
] | [
"/usr/local/nginx/sbin\n"
] | none | [
{
"input": "//usr///local//nginx/sbin",
"output": "/usr/local/nginx/sbin"
},
{
"input": "////a//b/////g",
"output": "/a/b/g"
},
{
"input": "/a/b/c",
"output": "/a/b/c"
},
{
"input": "/",
"output": "/"
},
{
"input": "////",
"output": "/"
},
{
"input": "... | 186 | 0 | 3.9535 | 1,631 |
452 | Eevee | [
"brute force",
"implementation",
"strings"
] | null | null | You are solving the crossword problem K from IPSC 2014. You solved all the clues except for one: who does Eevee evolve into? You are not very into pokemons, but quick googling helped you find out, that Eevee can evolve into eight different pokemons: Vaporeon, Jolteon, Flareon, Espeon, Umbreon, Leafeon, Glaceon, and Sylveon.
You know the length of the word in the crossword, and you already know some letters. Designers of the crossword made sure that the answer is unambiguous, so you can assume that exactly one pokemon out of the 8 that Eevee evolves into fits the length and the letters given. Your task is to find it. | First line contains an integer *n* (6<=≤<=*n*<=≤<=8) – the length of the string.
Next line contains a string consisting of *n* characters, each of which is either a lower case english letter (indicating a known letter) or a dot character (indicating an empty cell in the crossword). | Print a name of the pokemon that Eevee can evolve into that matches the pattern in the input. Use lower case letters only to print the name (in particular, do not capitalize the first letter). | [
"7\nj......\n",
"7\n...feon\n",
"7\n.l.r.o.\n"
] | [
"jolteon\n",
"leafeon\n",
"flareon\n"
] | Here's a set of names in a form you can paste into your solution:
["vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"]
{"vaporeon", "jolteon", "flareon", "espeon", "umbreon", "leafeon", "glaceon", "sylveon"} | [
{
"input": "7\n...feon",
"output": "leafeon"
},
{
"input": "7\n.l.r.o.",
"output": "flareon"
},
{
"input": "6\n.s..o.",
"output": "espeon"
},
{
"input": "7\nglaceon",
"output": "glaceon"
},
{
"input": "8\n.a.o.e.n",
"output": "vaporeon"
},
{
"input": "... | 61 | 0 | 0 | 1,633 | |
570 | Tree Requests | [
"binary search",
"bitmasks",
"constructive algorithms",
"dfs and similar",
"graphs",
"trees"
] | null | null | Roman planted a tree consisting of *n* vertices. Each vertex contains a lowercase English letter. Vertex 1 is the root of the tree, each of the *n*<=-<=1 remaining vertices has a parent in the tree. Vertex is connected with its parent by an edge. The parent of vertex *i* is vertex *p**i*, the parent index is always less than the index of the vertex (i.e., *p**i*<=<<=*i*).
The depth of the vertex is the number of nodes on the path from the root to *v* along the edges. In particular, the depth of the root is equal to 1.
We say that vertex *u* is in the subtree of vertex *v*, if we can get from *u* to *v*, moving from the vertex to the parent. In particular, vertex *v* is in its subtree.
Roma gives you *m* queries, the *i*-th of which consists of two numbers *v**i*, *h**i*. Let's consider the vertices in the subtree *v**i* located at depth *h**i*. Determine whether you can use the letters written at these vertices to make a string that is a palindrome. The letters that are written in the vertexes, can be rearranged in any order to make a palindrome, but all letters should be used. | The first line contains two integers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=500<=000) — the number of nodes in the tree and queries, respectively.
The following line contains *n*<=-<=1 integers *p*2,<=*p*3,<=...,<=*p**n* — the parents of vertices from the second to the *n*-th (1<=≤<=*p**i*<=<<=*i*).
The next line contains *n* lowercase English letters, the *i*-th of these letters is written on vertex *i*.
Next *m* lines describe the queries, the *i*-th line contains two numbers *v**i*, *h**i* (1<=≤<=*v**i*,<=*h**i*<=≤<=*n*) — the vertex and the depth that appear in the *i*-th query. | Print *m* lines. In the *i*-th line print "Yes" (without the quotes), if in the *i*-th query you can make a palindrome from the letters written on the vertices, otherwise print "No" (without the quotes). | [
"6 5\n1 1 1 3 3\nzacccd\n1 1\n3 3\n4 1\n6 1\n1 2\n"
] | [
"Yes\nNo\nYes\nYes\nYes\n"
] | String *s* is a palindrome if reads the same from left to right and from right to left. In particular, an empty string is a palindrome.
Clarification for the sample test.
In the first query there exists only a vertex 1 satisfying all the conditions, we can form a palindrome "z".
In the second query vertices 5 and 6 satisfy condititions, they contain letters "с" and "d" respectively. It is impossible to form a palindrome of them.
In the third query there exist no vertices at depth 1 and in subtree of 4. We may form an empty palindrome.
In the fourth query there exist no vertices in subtree of 6 at depth 1. We may form an empty palindrome.
In the fifth query there vertices 2, 3 and 4 satisfying all conditions above, they contain letters "a", "c" and "c". We may form a palindrome "cac". | [
{
"input": "6 5\n1 1 1 3 3\nzacccd\n1 1\n3 3\n4 1\n6 1\n1 2",
"output": "Yes\nNo\nYes\nYes\nYes"
},
{
"input": "5 6\n1 1 2 3\ncbcab\n3 1\n5 2\n1 3\n4 1\n4 2\n1 1",
"output": "Yes\nYes\nNo\nYes\nYes\nYes"
},
{
"input": "5 6\n1 2 2 1\nbaabb\n1 1\n1 2\n5 1\n4 1\n4 2\n3 2",
"output": "Ye... | 2,000 | 217,907,200 | 0 | 1,634 | |
979 | Kuro and Walking Route | [
"dfs and similar",
"trees"
] | null | null | Kuro is living in a country called Uberland, consisting of $n$ towns, numbered from $1$ to $n$, and $n - 1$ bidirectional roads connecting these towns. It is possible to reach each town from any other. Each road connects two towns $a$ and $b$. Kuro loves walking and he is planning to take a walking marathon, in which he will choose a pair of towns $(u, v)$ ($u \neq v$) and walk from $u$ using the shortest path to $v$ (note that $(u, v)$ is considered to be different from $(v, u)$).
Oddly, there are 2 special towns in Uberland named Flowrisa (denoted with the index $x$) and Beetopia (denoted with the index $y$). Flowrisa is a town where there are many strong-scent flowers, and Beetopia is another town where many bees live. In particular, Kuro will avoid any pair of towns $(u, v)$ if on the path from $u$ to $v$, he reaches Beetopia after he reached Flowrisa, since the bees will be attracted with the flower smell on Kuro’s body and sting him.
Kuro wants to know how many pair of city $(u, v)$ he can take as his route. Since he’s not really bright, he asked you to help him with this problem. | The first line contains three integers $n$, $x$ and $y$ ($1 \leq n \leq 3 \cdot 10^5$, $1 \leq x, y \leq n$, $x \ne y$) - the number of towns, index of the town Flowrisa and index of the town Beetopia, respectively.
$n - 1$ lines follow, each line contains two integers $a$ and $b$ ($1 \leq a, b \leq n$, $a \ne b$), describes a road connecting two towns $a$ and $b$.
It is guaranteed that from each town, we can reach every other town in the city using the given roads. That is, the given map of towns and roads is a tree. | A single integer resembles the number of pair of towns $(u, v)$ that Kuro can use as his walking route. | [
"3 1 3\n1 2\n2 3\n",
"3 1 3\n1 2\n1 3\n"
] | [
"5",
"4"
] | On the first example, Kuro can choose these pairs:
- $(1, 2)$: his route would be $1 \rightarrow 2$, - $(2, 3)$: his route would be $2 \rightarrow 3$, - $(3, 2)$: his route would be $3 \rightarrow 2$, - $(2, 1)$: his route would be $2 \rightarrow 1$, - $(3, 1)$: his route would be $3 \rightarrow 2 \rightarrow 1$.
Kuro can't choose pair $(1, 3)$ since his walking route would be $1 \rightarrow 2 \rightarrow 3$, in which Kuro visits town $1$ (Flowrisa) and then visits town $3$ (Beetopia), which is not allowed (note that pair $(3, 1)$ is still allowed because although Kuro visited Flowrisa and Beetopia, he did not visit them in that order).
On the second example, Kuro can choose the following pairs:
- $(1, 2)$: his route would be $1 \rightarrow 2$, - $(2, 1)$: his route would be $2 \rightarrow 1$, - $(3, 2)$: his route would be $3 \rightarrow 1 \rightarrow 2$, - $(3, 1)$: his route would be $3 \rightarrow 1$. | [
{
"input": "3 1 3\n1 2\n2 3",
"output": "5"
},
{
"input": "3 1 3\n1 2\n1 3",
"output": "4"
},
{
"input": "61 26 12\n33 38\n32 8\n27 59\n1 21\n61 57\n61 22\n35 18\n61 14\n39 56\n50 10\n1 42\n21 43\n61 41\n31 30\n35 9\n23 28\n39 34\n39 4\n39 25\n27 60\n45 51\n1 11\n35 26\n29 15\n23 44\n31 ... | 109 | 1,024,000 | 0 | 1,637 | |
630 | Again Twenty Five! | [
"number theory"
] | null | null | The HR manager was disappointed again. The last applicant failed the interview the same way as 24 previous ones. "Do I give such a hard task?" — the HR manager thought. "Just raise number 5 to the power of *n* and get last two digits of the number. Yes, of course, *n* can be rather big, and one cannot find the power using a calculator, but we need people who are able to think, not just follow the instructions."
Could you pass the interview in the machine vision company in IT City? | The only line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=2·1018) — the power in which you need to raise number 5. | Output the last two digits of 5*n* without spaces between them. | [
"2\n"
] | [
"25"
] | none | [
{
"input": "2",
"output": "25"
},
{
"input": "7",
"output": "25"
},
{
"input": "1000000000000000000",
"output": "25"
},
{
"input": "2000000000000000000",
"output": "25"
},
{
"input": "987654321012345678",
"output": "25"
}
] | 46 | 0 | 0 | 1,638 | |
429 | Xor-tree | [
"dfs and similar",
"trees"
] | null | null | Iahub is very proud of his recent discovery, propagating trees. Right now, he invented a new tree, called xor-tree. After this new revolutionary discovery, he invented a game for kids which uses xor-trees.
The game is played on a tree having *n* nodes, numbered from 1 to *n*. Each node *i* has an initial value *init**i*, which is either 0 or 1. The root of the tree is node 1.
One can perform several (possibly, zero) operations on the tree during the game. The only available type of operation is to pick a node *x*. Right after someone has picked node *x*, the value of node *x* flips, the values of sons of *x* remain the same, the values of sons of sons of *x* flips, the values of sons of sons of sons of *x* remain the same and so on.
The goal of the game is to get each node *i* to have value *goal**i*, which can also be only 0 or 1. You need to reach the goal of the game by using minimum number of operations. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=105). Each of the next *n*<=-<=1 lines contains two integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*; *u**i*<=≠<=*v**i*) meaning there is an edge between nodes *u**i* and *v**i*.
The next line contains *n* integer numbers, the *i*-th of them corresponds to *init**i* (*init**i* is either 0 or 1). The following line also contains *n* integer numbers, the *i*-th number corresponds to *goal**i* (*goal**i* is either 0 or 1). | In the first line output an integer number *cnt*, representing the minimal number of operations you perform. Each of the next *cnt* lines should contain an integer *x**i*, representing that you pick a node *x**i*. | [
"10\n2 1\n3 1\n4 2\n5 1\n6 2\n7 5\n8 6\n9 8\n10 5\n1 0 1 1 0 1 0 1 0 1\n1 0 1 0 0 1 1 1 0 1\n"
] | [
"2\n4\n7\n"
] | none | [
{
"input": "10\n2 1\n3 1\n4 2\n5 1\n6 2\n7 5\n8 6\n9 8\n10 5\n1 0 1 1 0 1 0 1 0 1\n1 0 1 0 0 1 1 1 0 1",
"output": "2\n4\n7"
},
{
"input": "15\n2 1\n3 2\n4 3\n5 4\n6 5\n7 6\n8 7\n9 8\n10 9\n11 10\n12 11\n13 12\n14 13\n15 14\n0 1 0 0 1 1 1 1 1 1 0 0 0 1 1\n1 1 1 1 0 0 1 1 0 1 0 0 1 1 0",
"output"... | 1,000 | 20,582,400 | 0 | 1,641 | |
845 | Chess Tourney | [
"implementation",
"sortings"
] | null | null | Berland annual chess tournament is coming!
Organizers have gathered 2·*n* chess players who should be divided into two teams with *n* people each. The first team is sponsored by BerOil and the second team is sponsored by BerMobile. Obviously, organizers should guarantee the win for the team of BerOil.
Thus, organizers should divide all 2·*n* players into two teams with *n* people each in such a way that the first team always wins.
Every chess player has its rating *r**i*. It is known that chess player with the greater rating always wins the player with the lower rating. If their ratings are equal then any of the players can win.
After teams assignment there will come a drawing to form *n* pairs of opponents: in each pair there is a player from the first team and a player from the second team. Every chess player should be in exactly one pair. Every pair plays once. The drawing is totally random.
Is it possible to divide all 2·*n* players into two teams with *n* people each so that the player from the first team in every pair wins regardless of the results of the drawing? | The first line contains one integer *n* (1<=≤<=*n*<=≤<=100).
The second line contains 2·*n* integers *a*1,<=*a*2,<=... *a*2*n* (1<=≤<=*a**i*<=≤<=1000). | If it's possible to divide all 2·*n* players into two teams with *n* people each so that the player from the first team in every pair wins regardless of the results of the drawing, then print "YES". Otherwise print "NO". | [
"2\n1 3 2 4\n",
"1\n3 3\n"
] | [
"YES\n",
"NO\n"
] | none | [
{
"input": "2\n1 3 2 4",
"output": "YES"
},
{
"input": "1\n3 3",
"output": "NO"
},
{
"input": "5\n1 1 1 1 2 2 3 3 3 3",
"output": "NO"
},
{
"input": "5\n1 1 1 1 1 2 2 2 2 2",
"output": "YES"
},
{
"input": "10\n1000 1000 1000 1000 1000 1000 1000 1000 1000 1000 1000... | 109 | 0 | 3 | 1,644 | |
844 | Rectangles | [
"combinatorics",
"math"
] | null | null | You are given *n*<=×<=*m* table. Each cell of the table is colored white or black. Find the number of non-empty sets of cells such that:
1. All cells in a set have the same color. 1. Every two cells in a set share row or column. | The first line of input contains integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=50) — the number of rows and the number of columns correspondingly.
The next *n* lines of input contain descriptions of rows. There are *m* integers, separated by spaces, in each line. The number equals 0 if the corresponding cell is colored white and equals 1 if the corresponding cell is colored black. | Output single integer — the number of non-empty sets from the problem description. | [
"1 1\n0\n",
"2 3\n1 0 1\n0 1 0\n"
] | [
"1\n",
"8\n"
] | In the second example, there are six one-element sets. Additionally, there are two two-element sets, the first one consists of the first and the third cells of the first row, the second one consists of the first and the third cells of the second row. To sum up, there are 8 sets. | [
{
"input": "1 1\n0",
"output": "1"
},
{
"input": "2 3\n1 0 1\n0 1 0",
"output": "8"
},
{
"input": "2 2\n1 1\n1 1",
"output": "8"
},
{
"input": "1 10\n0 0 0 0 0 0 0 0 0 0",
"output": "1023"
},
{
"input": "11 1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1\n1",
"output": "2047"... | 46 | 0 | 0 | 1,646 | |
239 | Two Bags of Potatoes | [
"greedy",
"implementation",
"math"
] | null | null | Valera had two bags of potatoes, the first of these bags contains *x* (*x*<=≥<=1) potatoes, and the second — *y* (*y*<=≥<=1) potatoes. Valera — very scattered boy, so the first bag of potatoes (it contains *x* potatoes) Valera lost. Valera remembers that the total amount of potatoes (*x*<=+<=*y*) in the two bags, firstly, was not gerater than *n*, and, secondly, was divisible by *k*.
Help Valera to determine how many potatoes could be in the first bag. Print all such possible numbers in ascending order. | The first line of input contains three integers *y*, *k*, *n* (1<=≤<=*y*,<=*k*,<=*n*<=≤<=109; <=≤<=105). | Print the list of whitespace-separated integers — all possible values of *x* in ascending order. You should print each possible value of *x* exactly once.
If there are no such values of *x* print a single integer -1. | [
"10 1 10\n",
"10 6 40\n"
] | [
"-1\n",
"2 8 14 20 26 \n"
] | none | [
{
"input": "10 1 10",
"output": "-1"
},
{
"input": "10 6 40",
"output": "2 8 14 20 26 "
},
{
"input": "10 1 20",
"output": "1 2 3 4 5 6 7 8 9 10 "
},
{
"input": "1 10000 1000000000",
"output": "9999 19999 29999 39999 49999 59999 69999 79999 89999 99999 109999 119999 12999... | 1,000 | 24,268,800 | 0 | 1,651 | |
540 | Combination Lock | [
"implementation"
] | null | null | Scrooge McDuck keeps his most treasured savings in a home safe with a combination lock. Each time he wants to put there the treasures that he's earned fair and square, he has to open the lock.
The combination lock is represented by *n* rotating disks with digits from 0 to 9 written on them. Scrooge McDuck has to turn some disks so that the combination of digits on the disks forms a secret combination. In one move, he can rotate one disk one digit forwards or backwards. In particular, in one move he can go from digit 0 to digit 9 and vice versa. What minimum number of actions does he need for that? | The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the number of disks on the combination lock.
The second line contains a string of *n* digits — the original state of the disks.
The third line contains a string of *n* digits — Scrooge McDuck's combination that opens the lock. | Print a single integer — the minimum number of moves Scrooge McDuck needs to open the lock. | [
"5\n82195\n64723\n"
] | [
"13\n"
] | In the sample he needs 13 moves:
- 1 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b8967f65a723782358b93eff9ce69f336817cf70.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 2 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/07fa58573ece0d32c4d555e498d2b24d2f70f36a.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 3 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/cc2275d9252aae35a6867c6a5b4ba7596e9a7626.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 4 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/b100aea470fcaaab4e9529b234ba0d7875943c10.png" style="max-width: 100.0%;max-height: 100.0%;"/> - 5 disk: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/eb2cbe4324cebca65b85816262a85e473cd65967.png" style="max-width: 100.0%;max-height: 100.0%;"/> | [
{
"input": "5\n82195\n64723",
"output": "13"
},
{
"input": "12\n102021090898\n010212908089",
"output": "16"
},
{
"input": "1\n8\n1",
"output": "3"
},
{
"input": "2\n83\n57",
"output": "7"
},
{
"input": "10\n0728592530\n1362615763",
"output": "27"
},
{
... | 77 | 1,433,600 | 3 | 1,657 | |
453 | Little Pony and Lord Tirek | [
"data structures"
] | null | null | Lord Tirek is a centaur and the main antagonist in the season four finale episodes in the series "My Little Pony: Friendship Is Magic". In "Twilight's Kingdom" (Part 1), Tirek escapes from Tartarus and drains magic from ponies to grow stronger.
The core skill of Tirek is called Absorb Mana. It takes all mana from a magic creature and gives them to the caster.
Now to simplify the problem, assume you have *n* ponies (numbered from 1 to *n*). Each pony has three attributes:
- *s**i* : amount of mana that the pony has at time 0; - *m**i* : maximum mana that the pony can have; - *r**i* : mana regeneration per unit time.
Lord Tirek will do *m* instructions, each of them can be described with three integers: *t**i*,<=*l**i*,<=*r**i*. The instruction means that at time *t**i*, Tirek will use Absorb Mana on ponies with numbers from *l**i* to *r**i* (both borders inclusive). We'll give you all the *m* instructions in order, count how much mana Tirek absorbs for each instruction. | The first line contains an integer *n* (1<=≤<=*n*<=≤<=105) — the number of ponies. Each of the next *n* lines contains three integers *s**i*,<=*m**i*,<=*r**i* (0<=≤<=*s**i*<=≤<=*m**i*<=≤<=105; 0<=≤<=*r**i*<=≤<=105), describing a pony.
The next line contains an integer *m* (1<=≤<=*m*<=≤<=105) — the number of instructions. Each of the next *m* lines contains three integers *t**i*,<=*l**i*,<=*r**i* (0<=≤<=*t**i*<=≤<=109; 1<=≤<=*l**i*<=≤<=*r**i*<=≤<=*n*), describing an instruction of Lord Tirek. The instructions are given in strictly increasing order of *t**i* (all *t**i* are distinct). | For each instruction, output a single line which contains a single integer, the total mana absorbed in this instruction. | [
"5\n0 10 1\n0 12 1\n0 20 1\n0 12 1\n0 10 1\n2\n5 1 5\n19 1 5\n"
] | [
"25\n58\n"
] | Every pony starts with zero mana. For the first instruction, each pony has 5 mana, so you get 25 mana in total and each pony has 0 mana after the first instruction.
For the second instruction, pony 3 has 14 mana and other ponies have mana equal to their *m*<sub class="lower-index">*i*</sub>. | [] | 93 | 307,200 | -1 | 1,663 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.